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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN448+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 : n012.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 02:08:37 PM UTC 2026

% Result   : Theorem 0.08s 0.18s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :  136
% Syntax   : Number of formulae    :  889 (  12 unt; 135 def)
%            Number of atoms       : 5954 (   0 equ)
%            Maximal formula atoms :  603 (   6 avg)
%            Number of connectives : 7685 (2620   ~;3776   |; 875   &)
%                                         ( 135 <=>; 279  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   95 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  170 ( 169 usr; 166 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  674 (   0 sgn 674   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a460)
          & ~ c2_1(a460)
          & ~ c3_1(a460) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a463)
          & ~ c0_1(a463)
          & ~ c1_1(a463) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c0_1(a465)
          & ~ c2_1(a465)
          & ~ c3_1(a465) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a466)
          & c3_1(a466)
          & ~ c0_1(a466) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c3_1(a467)
          & ~ c0_1(a467)
          & ~ c1_1(a467) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a468)
          & c3_1(a468)
          & ~ c2_1(a468) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a471)
          & ~ c1_1(a471)
          & ~ c3_1(a471) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a474)
          & ~ c1_1(a474)
          & ~ c2_1(a474) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a475)
          & c1_1(a475)
          & ~ c3_1(a475) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a476)
          & c2_1(a476)
          & ~ c1_1(a476) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a477)
          & c2_1(a477)
          & ~ c3_1(a477) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a478)
          & ~ c0_1(a478)
          & ~ c3_1(a478) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a480)
          & ~ c1_1(a480)
          & ~ c2_1(a480) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a483)
          & c2_1(a483)
          & ~ c3_1(a483) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ c1_1(a488)
          & ~ c2_1(a488)
          & ~ c3_1(a488) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a492)
          & c3_1(a492)
          & ~ c2_1(a492) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a493)
          & ~ c0_1(a493)
          & ~ c2_1(a493) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a494)
          & ~ c1_1(a494)
          & ~ c3_1(a494) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a500)
          & c2_1(a500)
          & ~ c0_1(a500) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a502)
          & c3_1(a502)
          & ~ c0_1(a502) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a503)
          & c3_1(a503)
          & ~ c1_1(a503) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a512)
          & c3_1(a512)
          & ~ c1_1(a512) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a524)
          & c1_1(a524)
          & ~ c2_1(a524) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a533)
          & ~ c1_1(a533)
          & ~ c3_1(a533) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a540)
          & ~ c1_1(a540)
          & ~ c2_1(a540) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a461)
          & c2_1(a461)
          & c3_1(a461) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a470)
          & c2_1(a470)
          & c3_1(a470) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a473)
          & c1_1(a473)
          & c3_1(a473) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a490)
          & c1_1(a490)
          & c2_1(a490) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | ~ c2_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | ~ c1_1(X3)
              | ~ c3_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c3_1(X4)
              | ~ c0_1(X4) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c3_1(X6)
              | ~ c0_1(X6) ) )
        | hskp25 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c2_1(X8)
              | ~ c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | ~ c0_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | hskp0
        | hskp1 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c2_1(X12)
              | c3_1(X12) ) )
        | hskp0 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) )
        | hskp2 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | ~ c1_1(X16)
              | ~ c3_1(X16) ) )
        | hskp3 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | ~ c1_1(X19)
              | ~ c2_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | ~ c1_1(X21)
              | ~ c3_1(X21) ) )
        | hskp4 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | ~ c1_1(X23)
              | ~ c2_1(X23) ) )
        | hskp5 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | ~ c2_1(X25)
              | ~ c3_1(X25) ) )
        | hskp4 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c1_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | ~ c2_1(X27)
              | ~ c3_1(X27) ) )
        | hskp26 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c2_1(X28) ) )
        | hskp6
        | hskp2 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) )
        | hskp27 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | c3_1(X32)
              | ~ c0_1(X32) ) )
        | hskp7 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c1_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c2_1(X35)
              | ~ c3_1(X35) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | ~ c2_1(X37)
              | ~ c3_1(X37) ) )
        | hskp8 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c2_1(X39)
              | ~ c3_1(X39) ) )
        | hskp9 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c1_1(X41)
              | ~ c2_1(X41) ) )
        | hskp10 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c3_1(X42)
              | ~ c1_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c0_1(X43)
              | ~ c2_1(X43)
              | ~ c3_1(X43) ) )
        | hskp11 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c2_1(X44) ) )
        | hskp0
        | hskp12 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c1_1(X45)
              | ~ c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c2_1(X46)
              | ~ c0_1(X46) ) )
        | hskp9 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c1_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | c3_1(X48)
              | ~ c0_1(X48) ) )
        | hskp9 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c3_1(X50)
              | ~ c0_1(X50) ) )
        | hskp13 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | hskp27
        | hskp10 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | ~ c0_1(X53)
              | ~ c2_1(X53) ) )
        | hskp8 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | ~ c1_1(X55)
              | ~ c2_1(X55) ) )
        | hskp7 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | ~ c2_1(X57)
              | ~ c3_1(X57) ) )
        | hskp14 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | ~ c1_1(X60)
              | ~ c3_1(X60) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c3_1(X62)
              | ~ c2_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c2_1(X63)
              | ~ c0_1(X63)
              | ~ c1_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | ~ c1_1(X65)
              | ~ c2_1(X65) ) )
        | hskp10 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | ~ c0_1(X67)
              | ~ c3_1(X67) ) )
        | hskp28 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | c3_1(X68) ) )
        | hskp3
        | hskp15 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c0_1(X69) ) )
        | hskp16
        | hskp17 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp7
        | hskp12 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c0_1(X72) ) )
        | hskp12 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c3_1(X73)
              | ~ c0_1(X73) ) )
        | hskp27
        | hskp16 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c3_1(X74)
              | ~ c0_1(X74) ) )
        | hskp18
        | hskp2 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c3_1(X75)
              | ~ c2_1(X75) ) )
        | hskp19
        | hskp20 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c3_1(X76)
              | ~ c2_1(X76) ) )
        | hskp12
        | hskp14 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | ~ c2_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c0_1(X78)
              | ~ c3_1(X78) ) )
        | hskp9 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c0_1(X79)
              | ~ c2_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c2_1(X80)
              | ~ c3_1(X80) ) )
        | hskp17 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) )
        | hskp3
        | hskp12 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | c3_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c1_1(X83)
              | ~ c2_1(X83) ) )
        | hskp1 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | c3_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c1_1(X85)
              | ~ c3_1(X85) ) )
        | hskp3 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c1_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) )
        | hskp21 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | c3_1(X88)
              | ~ c1_1(X88) ) )
        | hskp11
        | hskp7 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | ~ c0_1(X89)
              | ~ c1_1(X89) ) )
        | hskp18
        | hskp20 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | ~ c1_1(X90) ) )
        | hskp15
        | hskp2 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | ~ c1_1(X91)
              | ~ c3_1(X91) ) )
        | hskp15
        | hskp12 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c3_1(X92)
              | ~ c0_1(X92)
              | ~ c2_1(X92) ) )
        | hskp26
        | hskp10 )
      & ( hskp27
        | hskp22
        | hskp17 )
      & ( hskp8
        | hskp15
        | hskp16 )
      & ( hskp25
        | hskp5
        | hskp14 )
      & ( hskp9
        | hskp23
        | hskp20 )
      & ( hskp21
        | hskp10
        | hskp6 )
      & ( hskp5
        | hskp11 )
      & ( hskp24
        | hskp15
        | hskp16 )
      & ( hskp20
        | hskp6
        | hskp12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a460)
            & ~ c2_1(a460)
            & ~ c3_1(a460) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a463)
            & ~ c0_1(a463)
            & ~ c1_1(a463) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a465)
            & ~ c2_1(a465)
            & ~ c3_1(a465) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a466)
            & c3_1(a466)
            & ~ c0_1(a466) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c3_1(a467)
            & ~ c0_1(a467)
            & ~ c1_1(a467) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a468)
            & c3_1(a468)
            & ~ c2_1(a468) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a471)
            & ~ c1_1(a471)
            & ~ c3_1(a471) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a474)
            & ~ c1_1(a474)
            & ~ c2_1(a474) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a475)
            & c1_1(a475)
            & ~ c3_1(a475) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a476)
            & c2_1(a476)
            & ~ c1_1(a476) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a477)
            & c2_1(a477)
            & ~ c3_1(a477) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a478)
            & ~ c0_1(a478)
            & ~ c3_1(a478) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a480)
            & ~ c1_1(a480)
            & ~ c2_1(a480) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a483)
            & c2_1(a483)
            & ~ c3_1(a483) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & ~ c1_1(a488)
            & ~ c2_1(a488)
            & ~ c3_1(a488) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a492)
            & c3_1(a492)
            & ~ c2_1(a492) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a493)
            & ~ c0_1(a493)
            & ~ c2_1(a493) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a494)
            & ~ c1_1(a494)
            & ~ c3_1(a494) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a500)
            & c2_1(a500)
            & ~ c0_1(a500) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a502)
            & c3_1(a502)
            & ~ c0_1(a502) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a503)
            & c3_1(a503)
            & ~ c1_1(a503) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a512)
            & c3_1(a512)
            & ~ c1_1(a512) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a524)
            & c1_1(a524)
            & ~ c2_1(a524) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a533)
            & ~ c1_1(a533)
            & ~ c3_1(a533) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a540)
            & ~ c1_1(a540)
            & ~ c2_1(a540) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a461)
            & c2_1(a461)
            & c3_1(a461) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a470)
            & c2_1(a470)
            & c3_1(a470) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a473)
            & c1_1(a473)
            & c3_1(a473) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a490)
            & c1_1(a490)
            & c2_1(a490) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | ~ c2_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | ~ c1_1(X3)
                | ~ c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c3_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c3_1(X6)
                | ~ c0_1(X6) ) )
          | hskp25 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c2_1(X8)
                | ~ c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | ~ c0_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | hskp0
          | hskp1 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c2_1(X12)
                | c3_1(X12) ) )
          | hskp0 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) )
          | hskp2 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | ~ c1_1(X16)
                | ~ c3_1(X16) ) )
          | hskp3 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | ~ c1_1(X19)
                | ~ c2_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c1_1(X21)
                | ~ c3_1(X21) ) )
          | hskp4 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c1_1(X23)
                | ~ c2_1(X23) ) )
          | hskp5 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c2_1(X25)
                | ~ c3_1(X25) ) )
          | hskp4 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c2_1(X27)
                | ~ c3_1(X27) ) )
          | hskp26 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c2_1(X28) ) )
          | hskp6
          | hskp2 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) )
          | hskp27 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c3_1(X32)
                | ~ c0_1(X32) ) )
          | hskp7 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c2_1(X35)
                | ~ c3_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | ~ c2_1(X37)
                | ~ c3_1(X37) ) )
          | hskp8 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp9 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) )
          | hskp10 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | ~ c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp11 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c2_1(X44) ) )
          | hskp0
          | hskp12 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c1_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | ~ c0_1(X46) ) )
          | hskp9 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c3_1(X48)
                | ~ c0_1(X48) ) )
          | hskp9 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) )
          | hskp13 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | hskp27
          | hskp10 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | ~ c0_1(X53)
                | ~ c2_1(X53) ) )
          | hskp8 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c1_1(X55)
                | ~ c2_1(X55) ) )
          | hskp7 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp14 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c3_1(X62)
                | ~ c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | ~ c0_1(X63)
                | ~ c1_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | ~ c1_1(X65)
                | ~ c2_1(X65) ) )
          | hskp10 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) )
          | hskp28 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | c3_1(X68) ) )
          | hskp3
          | hskp15 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c0_1(X69) ) )
          | hskp16
          | hskp17 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp7
          | hskp12 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c0_1(X72) ) )
          | hskp12 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c3_1(X73)
                | ~ c0_1(X73) ) )
          | hskp27
          | hskp16 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) )
          | hskp18
          | hskp2 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c3_1(X75)
                | ~ c2_1(X75) ) )
          | hskp19
          | hskp20 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c3_1(X76)
                | ~ c2_1(X76) ) )
          | hskp12
          | hskp14 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c0_1(X78)
                | ~ c3_1(X78) ) )
          | hskp9 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c0_1(X79)
                | ~ c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | hskp17 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) )
          | hskp3
          | hskp12 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c3_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c1_1(X83)
                | ~ c2_1(X83) ) )
          | hskp1 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | c3_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c1_1(X85)
                | ~ c3_1(X85) ) )
          | hskp3 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c1_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | hskp21 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c3_1(X88)
                | ~ c1_1(X88) ) )
          | hskp11
          | hskp7 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | ~ c0_1(X89)
                | ~ c1_1(X89) ) )
          | hskp18
          | hskp20 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | ~ c1_1(X90) ) )
          | hskp15
          | hskp2 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | ~ c1_1(X91)
                | ~ c3_1(X91) ) )
          | hskp15
          | hskp12 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c0_1(X92)
                | ~ c2_1(X92) ) )
          | hskp26
          | hskp10 )
        & ( hskp27
          | hskp22
          | hskp17 )
        & ( hskp8
          | hskp15
          | hskp16 )
        & ( hskp25
          | hskp5
          | hskp14 )
        & ( hskp9
          | hskp23
          | hskp20 )
        & ( hskp21
          | hskp10
          | hskp6 )
        & ( hskp5
          | hskp11 )
        & ( hskp24
          | hskp15
          | hskp16 )
        & ( hskp20
          | hskp6
          | hskp12 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a460)
        & ~ c2_1(a460)
        & ~ c3_1(a460) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a463)
        & ~ c0_1(a463)
        & ~ c1_1(a463) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a465)
        & ~ c2_1(a465)
        & ~ c3_1(a465) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a466)
        & c3_1(a466)
        & ~ c0_1(a466) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a467)
        & ~ c0_1(a467)
        & ~ c1_1(a467) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a468)
        & c3_1(a468)
        & ~ c2_1(a468) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a471)
        & ~ c1_1(a471)
        & ~ c3_1(a471) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a474)
        & ~ c1_1(a474)
        & ~ c2_1(a474) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a475)
        & c1_1(a475)
        & ~ c3_1(a475) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a476)
        & c2_1(a476)
        & ~ c1_1(a476) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a477)
        & c2_1(a477)
        & ~ c3_1(a477) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a478)
        & ~ c0_1(a478)
        & ~ c3_1(a478) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a480)
        & ~ c1_1(a480)
        & ~ c2_1(a480) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a483)
        & c2_1(a483)
        & ~ c3_1(a483) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c1_1(a488)
        & ~ c2_1(a488)
        & ~ c3_1(a488) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a492)
        & c3_1(a492)
        & ~ c2_1(a492) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a493)
        & ~ c0_1(a493)
        & ~ c2_1(a493) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a494)
        & ~ c1_1(a494)
        & ~ c3_1(a494) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a500)
        & c2_1(a500)
        & ~ c0_1(a500) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a502)
        & c3_1(a502)
        & ~ c0_1(a502) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a503)
        & c3_1(a503)
        & ~ c1_1(a503) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a512)
        & c3_1(a512)
        & ~ c1_1(a512) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a524)
        & c1_1(a524)
        & ~ c2_1(a524) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a533)
        & ~ c1_1(a533)
        & ~ c3_1(a533) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a540)
        & ~ c1_1(a540)
        & ~ c2_1(a540) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a461)
        & c2_1(a461)
        & c3_1(a461) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a470)
        & c2_1(a470)
        & c3_1(a470) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a473)
        & c1_1(a473)
        & c3_1(a473) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a490)
        & c1_1(a490)
        & c2_1(a490) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | ~ c2_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c2_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | ~ c1_1(X3)
            | ~ c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c3_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | c3_1(X6)
            | ~ c0_1(X6) ) )
      | hskp25 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | ~ c2_1(X8)
            | ~ c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | ~ c0_1(X9)
            | ~ c2_1(X9) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) )
      | hskp0
      | hskp1 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c2_1(X12)
            | c3_1(X12) ) )
      | hskp0 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | ~ c1_1(X14)
            | ~ c2_1(X14) ) )
      | hskp2 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | ~ c1_1(X16)
            | ~ c3_1(X16) ) )
      | hskp3 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | c2_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | ~ c1_1(X19)
            | ~ c2_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | ~ c1_1(X21)
            | ~ c3_1(X21) ) )
      | hskp4 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | ~ c1_1(X23)
            | ~ c2_1(X23) ) )
      | hskp5 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c2_1(X25)
            | ~ c3_1(X25) ) )
      | hskp4 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c1_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c2_1(X27)
            | ~ c3_1(X27) ) )
      | hskp26 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c2_1(X28) ) )
      | hskp6
      | hskp2 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c1_1(X30)
            | c2_1(X30)
            | c3_1(X30) ) )
      | hskp27 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | c3_1(X32)
            | ~ c0_1(X32) ) )
      | hskp7 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | ~ c1_1(X34)
            | ~ c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c2_1(X35)
            | ~ c3_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | ~ c2_1(X37)
            | ~ c3_1(X37) ) )
      | hskp8 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c2_1(X39)
            | ~ c3_1(X39) ) )
      | hskp9 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | ~ c1_1(X41)
            | ~ c2_1(X41) ) )
      | hskp10 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c3_1(X42)
            | ~ c1_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | ~ c2_1(X43)
            | ~ c3_1(X43) ) )
      | hskp11 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c2_1(X44) ) )
      | hskp0
      | hskp12 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | ~ c1_1(X45)
            | ~ c2_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c2_1(X46)
            | ~ c0_1(X46) ) )
      | hskp9 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c1_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c3_1(X48)
            | ~ c0_1(X48) ) )
      | hskp9 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c3_1(X50)
            | ~ c0_1(X50) ) )
      | hskp13 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) )
      | hskp27
      | hskp10 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c1_1(X52)
            | ~ c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | ~ c0_1(X53)
            | ~ c2_1(X53) ) )
      | hskp8 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | ~ c1_1(X55)
            | ~ c2_1(X55) ) )
      | hskp7 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | ~ c2_1(X57)
            | ~ c3_1(X57) ) )
      | hskp14 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c2_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c2_1(X59)
            | c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | ~ c1_1(X60)
            | ~ c3_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c2_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c3_1(X62)
            | ~ c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | ~ c0_1(X63)
            | ~ c1_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | ~ c1_1(X65)
            | ~ c2_1(X65) ) )
      | hskp10 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c2_1(X66)
            | c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | ~ c0_1(X67)
            | ~ c3_1(X67) ) )
      | hskp28 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | c3_1(X68) ) )
      | hskp3
      | hskp15 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | ~ c0_1(X69) ) )
      | hskp16
      | hskp17 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c3_1(X70) ) )
      | hskp7
      | hskp12 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c3_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c3_1(X72)
            | ~ c0_1(X72) ) )
      | hskp12 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c3_1(X73)
            | ~ c0_1(X73) ) )
      | hskp27
      | hskp16 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) )
      | hskp18
      | hskp2 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c3_1(X75)
            | ~ c2_1(X75) ) )
      | hskp19
      | hskp20 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c3_1(X76)
            | ~ c2_1(X76) ) )
      | hskp12
      | hskp14 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | ~ c0_1(X77)
            | ~ c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c0_1(X78)
            | ~ c3_1(X78) ) )
      | hskp9 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c0_1(X79)
            | ~ c2_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | ~ c2_1(X80)
            | ~ c3_1(X80) ) )
      | hskp17 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | ~ c0_1(X81)
            | ~ c3_1(X81) ) )
      | hskp3
      | hskp12 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | c3_1(X82)
            | ~ c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | ~ c1_1(X83)
            | ~ c2_1(X83) ) )
      | hskp1 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | c3_1(X84)
            | ~ c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | ~ c1_1(X85)
            | ~ c3_1(X85) ) )
      | hskp3 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c3_1(X86)
            | ~ c1_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | ~ c0_1(X87)
            | ~ c3_1(X87) ) )
      | hskp21 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | c3_1(X88)
            | ~ c1_1(X88) ) )
      | hskp11
      | hskp7 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | ~ c0_1(X89)
            | ~ c1_1(X89) ) )
      | hskp18
      | hskp20 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c0_1(X90)
            | ~ c1_1(X90) ) )
      | hskp15
      | hskp2 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | ~ c1_1(X91)
            | ~ c3_1(X91) ) )
      | hskp15
      | hskp12 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | ~ c0_1(X92)
            | ~ c2_1(X92) ) )
      | hskp26
      | hskp10 )
    & ( hskp27
      | hskp22
      | hskp17 )
    & ( hskp8
      | hskp15
      | hskp16 )
    & ( hskp25
      | hskp5
      | hskp14 )
    & ( hskp9
      | hskp23
      | hskp20 )
    & ( hskp21
      | hskp10
      | hskp6 )
    & ( hskp5
      | hskp11 )
    & ( hskp24
      | hskp15
      | hskp16 )
    & ( hskp20
      | hskp6
      | hskp12 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a460)
        & ~ c2_1(a460)
        & ~ c3_1(a460) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a463)
        & ~ c0_1(a463)
        & ~ c1_1(a463) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a465)
        & ~ c2_1(a465)
        & ~ c3_1(a465) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a466)
        & c3_1(a466)
        & ~ c0_1(a466) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a467)
        & ~ c0_1(a467)
        & ~ c1_1(a467) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a468)
        & c3_1(a468)
        & ~ c2_1(a468) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a471)
        & ~ c1_1(a471)
        & ~ c3_1(a471) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a474)
        & ~ c1_1(a474)
        & ~ c2_1(a474) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a475)
        & c1_1(a475)
        & ~ c3_1(a475) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a476)
        & c2_1(a476)
        & ~ c1_1(a476) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a477)
        & c2_1(a477)
        & ~ c3_1(a477) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a478)
        & ~ c0_1(a478)
        & ~ c3_1(a478) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a480)
        & ~ c1_1(a480)
        & ~ c2_1(a480) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a483)
        & c2_1(a483)
        & ~ c3_1(a483) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c1_1(a488)
        & ~ c2_1(a488)
        & ~ c3_1(a488) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a492)
        & c3_1(a492)
        & ~ c2_1(a492) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a493)
        & ~ c0_1(a493)
        & ~ c2_1(a493) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a494)
        & ~ c1_1(a494)
        & ~ c3_1(a494) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a500)
        & c2_1(a500)
        & ~ c0_1(a500) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a502)
        & c3_1(a502)
        & ~ c0_1(a502) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a503)
        & c3_1(a503)
        & ~ c1_1(a503) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a512)
        & c3_1(a512)
        & ~ c1_1(a512) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a524)
        & c1_1(a524)
        & ~ c2_1(a524) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a533)
        & ~ c1_1(a533)
        & ~ c3_1(a533) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a540)
        & ~ c1_1(a540)
        & ~ c2_1(a540) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a461)
        & c2_1(a461)
        & c3_1(a461) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a470)
        & c2_1(a470)
        & c3_1(a470) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a473)
        & c1_1(a473)
        & c3_1(a473) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a490)
        & c1_1(a490)
        & c2_1(a490) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | ~ c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | c3_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | ~ c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp6
      | hskp2 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | c3_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | ~ c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp0
      | hskp12 )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp27
      | hskp10 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c2_1(X63)
          | ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp7
      | hskp12 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c3_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp18
      | hskp2 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp12
      | hskp14 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp3
      | hskp12 )
    & ( ! [X82] :
          ( c2_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X84] :
          ( c2_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | hskp11
      | hskp7 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp18
      | hskp20 )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp15
      | hskp2 )
    & ( ! [X91] :
          ( c2_1(X91)
          | ~ c1_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp15
      | hskp12 )
    & ( ! [X92] :
          ( c3_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp26
      | hskp10 )
    & ( hskp27
      | hskp22
      | hskp17 )
    & ( hskp8
      | hskp15
      | hskp16 )
    & ( hskp25
      | hskp5
      | hskp14 )
    & ( hskp9
      | hskp23
      | hskp20 )
    & ( hskp21
      | hskp10
      | hskp6 )
    & ( hskp5
      | hskp11 )
    & ( hskp24
      | hskp15
      | hskp16 )
    & ( hskp20
      | hskp6
      | hskp12 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a460)
        & ~ c2_1(a460)
        & ~ c3_1(a460) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a463)
        & ~ c0_1(a463)
        & ~ c1_1(a463) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a465)
        & ~ c2_1(a465)
        & ~ c3_1(a465) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a466)
        & c3_1(a466)
        & ~ c0_1(a466) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a467)
        & ~ c0_1(a467)
        & ~ c1_1(a467) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a468)
        & c3_1(a468)
        & ~ c2_1(a468) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a471)
        & ~ c1_1(a471)
        & ~ c3_1(a471) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a474)
        & ~ c1_1(a474)
        & ~ c2_1(a474) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a475)
        & c1_1(a475)
        & ~ c3_1(a475) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a476)
        & c2_1(a476)
        & ~ c1_1(a476) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a477)
        & c2_1(a477)
        & ~ c3_1(a477) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a478)
        & ~ c0_1(a478)
        & ~ c3_1(a478) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a480)
        & ~ c1_1(a480)
        & ~ c2_1(a480) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a483)
        & c2_1(a483)
        & ~ c3_1(a483) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c1_1(a488)
        & ~ c2_1(a488)
        & ~ c3_1(a488) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a492)
        & c3_1(a492)
        & ~ c2_1(a492) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a493)
        & ~ c0_1(a493)
        & ~ c2_1(a493) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a494)
        & ~ c1_1(a494)
        & ~ c3_1(a494) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a500)
        & c2_1(a500)
        & ~ c0_1(a500) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a502)
        & c3_1(a502)
        & ~ c0_1(a502) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a503)
        & c3_1(a503)
        & ~ c1_1(a503) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a512)
        & c3_1(a512)
        & ~ c1_1(a512) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a524)
        & c1_1(a524)
        & ~ c2_1(a524) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a533)
        & ~ c1_1(a533)
        & ~ c3_1(a533) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a540)
        & ~ c1_1(a540)
        & ~ c2_1(a540) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a461)
        & c2_1(a461)
        & c3_1(a461) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a470)
        & c2_1(a470)
        & c3_1(a470) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a473)
        & c1_1(a473)
        & c3_1(a473) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a490)
        & c1_1(a490)
        & c2_1(a490) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | ~ c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | c3_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | ~ c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp6
      | hskp2 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | c3_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | ~ c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp0
      | hskp12 )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp27
      | hskp10 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c2_1(X63)
          | ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp7
      | hskp12 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c3_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp18
      | hskp2 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp12
      | hskp14 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp3
      | hskp12 )
    & ( ! [X82] :
          ( c2_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X84] :
          ( c2_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | hskp11
      | hskp7 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp18
      | hskp20 )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp15
      | hskp2 )
    & ( ! [X91] :
          ( c2_1(X91)
          | ~ c1_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp15
      | hskp12 )
    & ( ! [X92] :
          ( c3_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp26
      | hskp10 )
    & ( hskp27
      | hskp22
      | hskp17 )
    & ( hskp8
      | hskp15
      | hskp16 )
    & ( hskp25
      | hskp5
      | hskp14 )
    & ( hskp9
      | hskp23
      | hskp20 )
    & ( hskp21
      | hskp10
      | hskp6 )
    & ( hskp5
      | hskp11 )
    & ( hskp24
      | hskp15
      | hskp16 )
    & ( hskp20
      | hskp6
      | hskp12 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp20
    | hskp6
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp24
    | hskp15
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp5
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp9
    | hskp23
    | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp27
    | hskp22
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X91] :
      ( c2_1(X91)
      | ~ c1_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | hskp15
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X89] :
      ( c2_1(X89)
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0
      | hskp18
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X86,X87] :
      ( c2_1(X86)
      | c3_1(X86)
      | ~ c1_1(X86)
      | ~ ndr1_0
      | c2_1(X87)
      | ~ c0_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X84,X85] :
      ( c2_1(X84)
      | c3_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X81] :
      ( c1_1(X81)
      | ~ c0_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | hskp3
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X76] :
      ( c1_1(X76)
      | c3_1(X76)
      | ~ c2_1(X76)
      | ~ ndr1_0
      | hskp12
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X75] :
      ( c1_1(X75)
      | c3_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X73] :
      ( c1_1(X73)
      | c3_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | hskp27
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | c3_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0
      | hskp16
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X68] :
      ( c1_1(X68)
      | c2_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | hskp3
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X62,X63,X61] :
      ( c0_1(X61)
      | ~ c2_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | c3_1(X62)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | c2_1(X63)
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X58,X59,X60] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | c2_1(X59)
      | c3_1(X59)
      | ~ ndr1_0
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | c3_1(X48)
      | ~ c0_1(X48)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X44] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | hskp0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c0_1(X39)
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c0_1(X34)
      | ~ c1_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | c0_1(X35)
      | ~ c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | c3_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | c1_1(X30)
      | c2_1(X30)
      | c3_1(X30)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X28] :
      ( c0_1(X28)
      | c1_1(X28)
      | ~ c2_1(X28)
      | ~ ndr1_0
      | hskp6
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | c2_1(X21)
      | ~ c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | c3_1(X15)
      | ~ ndr1_0
      | c0_1(X16)
      | ~ c1_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | c3_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c2_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X10] :
      ( c0_1(X10)
      | c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | hskp0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | c3_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X2,X3,X4] :
      ( c0_1(X2)
      | c1_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | c0_1(X3)
      | ~ c1_1(X3)
      | ~ c3_1(X3)
      | ~ ndr1_0
      | c2_1(X4)
      | c3_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp27
    | c3_1(a473) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp27
    | c1_1(a473) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp27
    | c0_1(a473) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp26
    | c3_1(a470) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp26
    | c1_1(a470) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp25
    | c3_1(a461) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp25
    | c2_1(a461) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp25
    | c0_1(a461) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp24
    | ~ c2_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp24
    | ~ c1_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp24
    | c0_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp23
    | ~ c3_1(a533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp23
    | ~ c1_1(a533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp23
    | c0_1(a533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp22
    | ~ c2_1(a524) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp22
    | c1_1(a524) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp22
    | c0_1(a524) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp21
    | ~ c1_1(a512) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp21
    | c3_1(a512) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp21
    | c0_1(a512) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp20
    | ~ c1_1(a503) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp20
    | c3_1(a503) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp20
    | c2_1(a503) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp19
    | ~ c0_1(a502) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp19
    | c3_1(a502) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp19
    | c2_1(a502) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp18
    | ~ c0_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp18
    | c2_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp18
    | c1_1(a500) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp17
    | ~ c3_1(a494) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp17
    | ~ c1_1(a494) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp17
    | ~ c0_1(a494) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp16
    | ~ c2_1(a493) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp16
    | ~ c0_1(a493) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp16
    | c1_1(a493) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp15
    | ~ c2_1(a492) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp15
    | c3_1(a492) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp15
    | c1_1(a492) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp14
    | ~ c3_1(a488) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp14
    | ~ c2_1(a488) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp14
    | ~ c1_1(a488) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp12
    | ~ c2_1(a480) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp12
    | ~ c1_1(a480) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp12
    | ~ c0_1(a480) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp11
    | ~ c3_1(a478) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp11
    | ~ c0_1(a478) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp11
    | c2_1(a478) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp9
    | ~ c1_1(a476) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp9
    | c2_1(a476) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp9
    | c0_1(a476) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp7
    | ~ c2_1(a474) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp7
    | ~ c1_1(a474) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp7
    | c3_1(a474) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp6
    | ~ c3_1(a471) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp6
    | ~ c1_1(a471) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp6
    | c2_1(a471) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp5
    | ~ c2_1(a468) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp5
    | c3_1(a468) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp5
    | c0_1(a468) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp4
    | ~ c1_1(a467) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp4
    | ~ c0_1(a467) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp4
    | c3_1(a467) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp3
    | ~ c0_1(a466) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp3
    | c3_1(a466) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp3
    | c1_1(a466) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp2
    | ~ c3_1(a465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp2
    | ~ c2_1(a465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp2
    | ~ c0_1(a465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp1
    | ~ c1_1(a463) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp1
    | ~ c0_1(a463) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp1
    | c2_1(a463) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp0
    | ~ c3_1(a460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp0
    | ~ c2_1(a460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp0
    | c0_1(a460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( hskp0
    | c0_1(a460) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f184,plain,
    ( hskp0
    | ~ c2_1(a460) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f185,plain,
    ( hskp0
    | c3_1(a460) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f187,plain,
    ( hskp1
    | c2_1(a463) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f188,plain,
    ( hskp1
    | ~ c0_1(a463) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f189,plain,
    ( hskp1
    | ~ c1_1(a463) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f190,plain,
    ( ~ hskp2
    | c3_1(a465) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f192,plain,
    ( hskp3
    | c1_1(a466) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f193,plain,
    ( hskp3
    | ~ c3_1(a466) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f194,plain,
    ( hskp3
    | ~ c0_1(a466) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f196,plain,
    ( hskp4
    | ~ c3_1(a467) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f197,plain,
    ( hskp4
    | ~ c0_1(a467) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f198,plain,
    ( hskp4
    | ~ c1_1(a467) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f200,plain,
    ( hskp5
    | c0_1(a468) ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f201,plain,
    ( hskp5
    | ~ c3_1(a468) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f202,plain,
    ( hskp5
    | ~ c2_1(a468) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f203,plain,
    ( ~ hskp6
    | c3_1(a471) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f204,plain,
    ( ~ hskp7
    | ~ c3_1(a474) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f207,plain,
    ( hskp9
    | c0_1(a476) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f208,plain,
    ( hskp9
    | c2_1(a476) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f209,plain,
    ( hskp9
    | ~ c1_1(a476) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f211,plain,
    ( ~ hskp11
    | c3_1(a478) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f216,plain,
    ( ~ hskp14
    | c3_1(a488) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f217,plain,
    ( ~ hskp15
    | ~ c3_1(a492) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f219,plain,
    ( hskp17
    | ~ c0_1(a494) ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f220,plain,
    ( hskp17
    | ~ c1_1(a494) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f221,plain,
    ( hskp17
    | c3_1(a494) ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f222,plain,
    ( ~ hskp19
    | ~ c3_1(a502) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f223,plain,
    ( hskp20
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f224,plain,
    ( hskp20
    | c2_1(a503) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f225,plain,
    ( hskp20
    | ~ c3_1(a503) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f226,plain,
    ( hskp20
    | ~ c1_1(a503) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f228,plain,
    ( hskp21
    | c0_1(a512) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f229,plain,
    ( hskp21
    | ~ c3_1(a512) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f230,plain,
    ( hskp21
    | ~ c1_1(a512) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f232,plain,
    ( hskp22
    | c0_1(a524) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f233,plain,
    ( hskp22
    | c1_1(a524) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f234,plain,
    ( hskp22
    | ~ c2_1(a524) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f235,plain,
    ( ~ hskp23
    | c3_1(a533) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f237,plain,
    ( hskp24
    | c0_1(a540) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f238,plain,
    ( hskp24
    | ~ c1_1(a540) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f239,plain,
    ( hskp24
    | ~ c2_1(a540) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f241,plain,
    ( hskp25
    | c0_1(a461) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f242,plain,
    ( hskp25
    | c2_1(a461) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f243,plain,
    ( hskp25
    | ~ c3_1(a461) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f245,plain,
    ( hskp26
    | c1_1(a470) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f247,plain,
    ( hskp26
    | ~ c3_1(a470) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f249,plain,
    ( hskp27
    | c0_1(a473) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f250,plain,
    ( hskp27
    | c1_1(a473) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f251,plain,
    ( hskp27
    | ~ c3_1(a473) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f257,plain,
    ! [X2,X3,X4] :
      ( c0_1(X2)
      | c1_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | c0_1(X3)
      | ~ c1_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | c2_1(X4)
      | ~ c3_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f258,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | ~ c3_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f260,plain,
    ! [X10] :
      ( c0_1(X10)
      | c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | ~ hskp0
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f261,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c2_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f262,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | hskp2 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f263,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | c0_1(X16)
      | ~ c1_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f265,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | c2_1(X21)
      | ~ c1_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f268,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f269,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | c1_1(X30)
      | c2_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f270,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f271,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c0_1(X34)
      | ~ c1_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | c0_1(X35)
      | ~ c2_1(X35)
      | c3_1(X35)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f273,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | c0_1(X39)
      | ~ c2_1(X39)
      | c3_1(X39)
      | ~ ndr1_0
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f276,plain,
    ! [X44] :
      ( c0_1(X44)
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | ~ hskp0
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f278,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c3_1(X48)
      | ~ c0_1(X48)
      | ~ ndr1_0
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f284,plain,
    ! [X58,X59,X60] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | c3_1(X60)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f285,plain,
    ! [X62,X63,X61] :
      ( c0_1(X61)
      | ~ c2_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | ~ c3_1(X62)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | c2_1(X63)
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f288,plain,
    ! [X68] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | ~ hskp3
      | hskp15 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f289,plain,
    ! [X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0
      | hskp16
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f291,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | ~ c3_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | ~ c3_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f292,plain,
    ! [X73] :
      ( c1_1(X73)
      | ~ c3_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ hskp27
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f294,plain,
    ! [X75] :
      ( c1_1(X75)
      | ~ c3_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | hskp19
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f295,plain,
    ! [X76] :
      ( c1_1(X76)
      | ~ c3_1(X76)
      | ~ c2_1(X76)
      | ~ ndr1_0
      | hskp12
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f297,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | c3_1(X80)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f298,plain,
    ! [X81] :
      ( c1_1(X81)
      | ~ c0_1(X81)
      | c3_1(X81)
      | ~ ndr1_0
      | ~ hskp3
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f300,plain,
    ! [X84,X85] :
      ( c2_1(X84)
      | ~ c3_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | c3_1(X85)
      | ~ ndr1_0
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f301,plain,
    ! [X86,X87] :
      ( c2_1(X86)
      | ~ c3_1(X86)
      | ~ c1_1(X86)
      | ~ ndr1_0
      | c2_1(X87)
      | ~ c0_1(X87)
      | c3_1(X87)
      | ~ ndr1_0
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f303,plain,
    ! [X89] :
      ( c2_1(X89)
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0
      | hskp18
      | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f304,plain,
    ! [X91] :
      ( c2_1(X91)
      | ~ c1_1(X91)
      | c3_1(X91)
      | ~ ndr1_0
      | hskp15
      | hskp12 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f306,plain,
    ( ~ hskp27
    | ~ hskp22
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f308,plain,
    ( ~ hskp9
    | hskp23
    | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f310,plain,
    ( ~ hskp5
    | hskp11 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f311,plain,
    ( ~ hskp24
    | hskp15
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f312,plain,
    ( ~ hskp20
    | hskp6
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f313,plain,
    ! [X86,X87] :
      ( c2_1(X86)
      | ~ c3_1(X86)
      | ~ c1_1(X86)
      | ~ ndr1_0
      | c2_1(X87)
      | ~ c0_1(X87)
      | c3_1(X87)
      | ~ hskp21 ),
    inference(duplicate_literal_removal,[],[f301]) ).

fof(f314,plain,
    ! [X84,X85] :
      ( c2_1(X84)
      | ~ c3_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | c3_1(X85)
      | ~ hskp3 ),
    inference(duplicate_literal_removal,[],[f300]) ).

fof(f316,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | c3_1(X80)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f297]) ).

fof(f318,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | ~ c3_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | ~ c3_1(X72)
      | ~ c0_1(X72)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f321,plain,
    ! [X62,X63,X61] :
      ( c0_1(X61)
      | ~ c2_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | ~ c3_1(X62)
      | ~ c2_1(X62)
      | c2_1(X63)
      | ~ c0_1(X63)
      | ~ c1_1(X63) ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f322,plain,
    ! [X58,X59,X60] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | c2_1(X59)
      | ~ c3_1(X59)
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | c3_1(X60) ),
    inference(duplicate_literal_removal,[],[f284]) ).

fof(f327,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c3_1(X48)
      | ~ c0_1(X48)
      | ~ hskp9 ),
    inference(duplicate_literal_removal,[],[f278]) ).

fof(f331,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | c3_1(X38)
      | ~ ndr1_0
      | c0_1(X39)
      | ~ c2_1(X39)
      | c3_1(X39)
      | ~ hskp9 ),
    inference(duplicate_literal_removal,[],[f273]) ).

fof(f333,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c0_1(X34)
      | ~ c1_1(X34)
      | c3_1(X34)
      | c0_1(X35)
      | ~ c2_1(X35)
      | c3_1(X35) ),
    inference(duplicate_literal_removal,[],[f271]) ).

fof(f334,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ c0_1(X32)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f270]) ).

fof(f335,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c2_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | c1_1(X30)
      | c2_1(X30)
      | ~ c3_1(X30)
      | ~ hskp27 ),
    inference(duplicate_literal_removal,[],[f269]) ).

fof(f336,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c2_1(X27)
      | c3_1(X27)
      | ~ hskp26 ),
    inference(duplicate_literal_removal,[],[f268]) ).

fof(f339,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | c2_1(X21)
      | ~ c1_1(X21)
      | c3_1(X21)
      | ~ hskp4 ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f341,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | c0_1(X16)
      | ~ c1_1(X16)
      | c3_1(X16)
      | ~ hskp3 ),
    inference(duplicate_literal_removal,[],[f263]) ).

fof(f342,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f262]) ).

fof(f343,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c2_1(X12)
      | ~ c3_1(X12)
      | ~ hskp0 ),
    inference(duplicate_literal_removal,[],[f261]) ).

fof(f345,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | ~ c3_1(X6)
      | ~ c0_1(X6)
      | ~ hskp25 ),
    inference(duplicate_literal_removal,[],[f258]) ).

fof(f346,plain,
    ! [X2,X3,X4] :
      ( c0_1(X2)
      | c1_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | c0_1(X3)
      | ~ c1_1(X3)
      | c3_1(X3)
      | c2_1(X4)
      | ~ c3_1(X4)
      | ~ c0_1(X4) ),
    inference(duplicate_literal_removal,[],[f257]) ).

fof(f347,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ hskp0 ),
    inference(duplicate_literal_removal,[],[f256]) ).

fof(f349,definition,
    ( spl0_1
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f353,definition,
    ( spl0_2
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f357,definition,
    ( spl0_3
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f360,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f312,f357,f353,f349]) ).

fof(f362,definition,
    ( spl0_4
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f366,definition,
    ( spl0_5
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f370,definition,
    ( spl0_6
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f373,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f311,f370,f366,f362]) ).

fof(f375,definition,
    ( spl0_7
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f379,definition,
    ( spl0_8
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f382,plain,
    ( spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f310,f379,f375]) ).

fof(f388,definition,
    ( spl0_10
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f393,definition,
    ( spl0_11
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f397,definition,
    ( spl0_12
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f400,plain,
    ( ~ spl0_3
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f308,f397,f393,f357]) ).

fof(f402,definition,
    ( spl0_13
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f406,definition,
    ( spl0_14
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f416,definition,
    ( spl0_16
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f420,definition,
    ( spl0_17
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f424,definition,
    ( spl0_18
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f427,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f306,f424,f420,f416]) ).

fof(f429,definition,
    ( spl0_19
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f433,definition,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f441,definition,
    ( spl0_22
  <=> ! [X91] :
        ( c2_1(X91)
        | c3_1(X91)
        | ~ c1_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f442,plain,
    ( ! [X91] :
        ( ~ c1_1(X91)
        | c3_1(X91)
        | c2_1(X91) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f443,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_20
    | spl0_22 ),
    inference(avatar_split_clause,[],[f304,f441,f433,f366,f349]) ).

fof(f445,definition,
    ( spl0_23
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f449,definition,
    ( spl0_24
  <=> ! [X90] :
        ( c2_1(X90)
        | ~ c1_1(X90)
        | ~ c0_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f450,plain,
    ( ! [X90] :
        ( ~ c1_1(X90)
        | c2_1(X90)
        | ~ c0_1(X90) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f453,definition,
    ( spl0_25
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f456,plain,
    ( ~ spl0_3
    | spl0_25
    | ~ spl0_20
    | spl0_24 ),
    inference(avatar_split_clause,[],[f303,f449,f433,f453,f357]) ).

fof(f458,definition,
    ( spl0_26
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f462,definition,
    ( spl0_27
  <=> ! [X88] :
        ( c2_1(X88)
        | ~ c1_1(X88)
        | ~ c3_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X88] :
        ( ~ c1_1(X88)
        | c2_1(X88)
        | ~ c3_1(X88) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f466,definition,
    ( spl0_28
  <=> ! [X87] :
        ( c2_1(X87)
        | c3_1(X87)
        | ~ c0_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f467,plain,
    ( ! [X87] :
        ( c3_1(X87)
        | c2_1(X87)
        | ~ c0_1(X87) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f468,plain,
    ( ~ spl0_10
    | spl0_28
    | ~ spl0_20
    | spl0_27 ),
    inference(avatar_split_clause,[],[f313,f462,f433,f466,f388]) ).

fof(f470,definition,
    ( spl0_29
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f474,definition,
    ( spl0_30
  <=> ! [X85] :
        ( ~ c0_1(X85)
        | c3_1(X85)
        | ~ c1_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f475,plain,
    ( ! [X85] :
        ( ~ c1_1(X85)
        | c3_1(X85)
        | ~ c0_1(X85) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f477,definition,
    ( spl0_31
  <=> ! [X84] :
        ( c2_1(X84)
        | ~ c0_1(X84)
        | ~ c3_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f478,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | ~ c0_1(X84)
        | c2_1(X84) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f479,plain,
    ( ~ spl0_29
    | spl0_30
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f314,f477,f433,f474,f470]) ).

fof(f481,definition,
    ( spl0_32
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f489,definition,
    ( spl0_34
  <=> ! [X81] :
        ( c1_1(X81)
        | c3_1(X81)
        | ~ c0_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f490,plain,
    ( ! [X81] :
        ( c1_1(X81)
        | c3_1(X81)
        | ~ c0_1(X81) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f491,plain,
    ( spl0_1
    | ~ spl0_29
    | ~ spl0_20
    | spl0_34 ),
    inference(avatar_split_clause,[],[f298,f489,f433,f470,f349]) ).

fof(f493,definition,
    ( spl0_35
  <=> ! [X80] :
        ( ~ c0_1(X80)
        | c3_1(X80)
        | ~ c2_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f494,plain,
    ( ! [X80] :
        ( c3_1(X80)
        | ~ c0_1(X80)
        | ~ c2_1(X80) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f496,definition,
    ( spl0_36
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c2_1(X79)
        | ~ c0_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f497,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | ~ c2_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f498,plain,
    ( ~ spl0_16
    | spl0_35
    | ~ spl0_20
    | spl0_36 ),
    inference(avatar_split_clause,[],[f316,f496,f433,f493,f416]) ).

fof(f501,definition,
    ( spl0_37
  <=> ! [X76] :
        ( c1_1(X76)
        | ~ c2_1(X76)
        | ~ c3_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X76] :
        ( c1_1(X76)
        | ~ c2_1(X76)
        | ~ c3_1(X76) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f503,plain,
    ( spl0_13
    | spl0_1
    | ~ spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f295,f501,f433,f349,f402]) ).

fof(f505,definition,
    ( spl0_38
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f508,plain,
    ( ~ spl0_3
    | spl0_38
    | ~ spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f294,f501,f433,f505,f357]) ).

fof(f510,definition,
    ( spl0_39
  <=> ! [X74] :
        ( c1_1(X74)
        | ~ c0_1(X74)
        | ~ c3_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f511,plain,
    ( ! [X74] :
        ( c1_1(X74)
        | ~ c0_1(X74)
        | ~ c3_1(X74) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f513,plain,
    ( spl0_4
    | ~ spl0_18
    | ~ spl0_20
    | spl0_39 ),
    inference(avatar_split_clause,[],[f292,f510,f433,f424,f362]) ).

fof(f514,plain,
    ( spl0_1
    | spl0_31
    | ~ spl0_20
    | spl0_39 ),
    inference(avatar_split_clause,[],[f318,f510,f433,f477,f349]) ).

fof(f520,definition,
    ( spl0_41
  <=> ! [X69] :
        ( c1_1(X69)
        | ~ c0_1(X69)
        | c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f521,plain,
    ( ! [X69] :
        ( c1_1(X69)
        | ~ c0_1(X69)
        | c2_1(X69) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f522,plain,
    ( ~ spl0_16
    | spl0_4
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f289,f520,f433,f362,f416]) ).

fof(f524,definition,
    ( spl0_42
  <=> ! [X68] :
        ( c1_1(X68)
        | ~ c3_1(X68)
        | c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f525,plain,
    ( ! [X68] :
        ( c1_1(X68)
        | ~ c3_1(X68)
        | c2_1(X68) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f526,plain,
    ( spl0_5
    | ~ spl0_29
    | ~ spl0_20
    | spl0_42 ),
    inference(avatar_split_clause,[],[f288,f524,f433,f470,f366]) ).

fof(f533,definition,
    ( spl0_44
  <=> ! [X64] :
        ( c0_1(X64)
        | c3_1(X64)
        | ~ c2_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f534,plain,
    ( ! [X64] :
        ( c3_1(X64)
        | c0_1(X64)
        | ~ c2_1(X64) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f536,plain,
    ( spl0_24
    | spl0_37
    | ~ spl0_20
    | spl0_44 ),
    inference(avatar_split_clause,[],[f321,f533,f433,f501,f449]) ).

fof(f537,plain,
    ( spl0_30
    | spl0_42
    | ~ spl0_20
    | spl0_44 ),
    inference(avatar_split_clause,[],[f322,f533,f433,f524,f474]) ).

fof(f539,definition,
    ( spl0_45
  <=> ! [X56] :
        ( c0_1(X56)
        | c3_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f540,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | c3_1(X56)
        | c0_1(X56) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f545,definition,
    ( spl0_46
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c2_1(X51)
        | ~ c1_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f546,plain,
    ( ! [X51] :
        ( ~ c1_1(X51)
        | ~ c2_1(X51)
        | c0_1(X51) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f553,plain,
    ( ~ spl0_12
    | spl0_39
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f327,f545,f433,f510,f397]) ).

fof(f556,definition,
    ( spl0_48
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f560,definition,
    ( spl0_49
  <=> ! [X44] :
        ( c0_1(X44)
        | ~ c2_1(X44)
        | ~ c3_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f561,plain,
    ( ! [X44] :
        ( ~ c3_1(X44)
        | ~ c2_1(X44)
        | c0_1(X44) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f562,plain,
    ( spl0_1
    | ~ spl0_48
    | ~ spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f276,f560,f433,f556,f349]) ).

fof(f568,definition,
    ( spl0_51
  <=> ! [X40] :
        ( c0_1(X40)
        | c3_1(X40)
        | c2_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f569,plain,
    ( ! [X40] :
        ( c3_1(X40)
        | c0_1(X40)
        | c2_1(X40) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f571,plain,
    ( ~ spl0_12
    | spl0_44
    | ~ spl0_20
    | spl0_51 ),
    inference(avatar_split_clause,[],[f331,f568,f433,f533,f397]) ).

fof(f576,definition,
    ( spl0_53
  <=> ! [X36] :
        ( c0_1(X36)
        | ~ c1_1(X36)
        | c2_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f577,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | c0_1(X36)
        | c2_1(X36) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f579,plain,
    ( spl0_44
    | spl0_45
    | ~ spl0_20
    | spl0_53 ),
    inference(avatar_split_clause,[],[f333,f576,f433,f539,f533]) ).

fof(f581,definition,
    ( spl0_54
  <=> ! [X31] :
        ( c0_1(X31)
        | ~ c3_1(X31)
        | c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f582,plain,
    ( ! [X31] :
        ( ~ c3_1(X31)
        | c0_1(X31)
        | c2_1(X31) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f583,plain,
    ( spl0_26
    | spl0_31
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f334,f581,f433,f477,f458]) ).

fof(f584,plain,
    ( ~ spl0_18
    | spl0_42
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f335,f581,f433,f524,f424]) ).

fof(f586,definition,
    ( spl0_55
  <=> ! [X28] :
        ( c0_1(X28)
        | ~ c2_1(X28)
        | c1_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f587,plain,
    ( ! [X28] :
        ( c1_1(X28)
        | ~ c2_1(X28)
        | c0_1(X28) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f588,plain,
    ( spl0_23
    | spl0_2
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f52,f586,f433,f353,f445]) ).

fof(f589,plain,
    ( ~ spl0_19
    | spl0_35
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f336,f586,f433,f493,f429]) ).

fof(f591,definition,
    ( spl0_56
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f598,definition,
    ( spl0_58
  <=> ! [X24] :
        ( c0_1(X24)
        | ~ c3_1(X24)
        | c1_1(X24) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f599,plain,
    ( ! [X24] :
        ( c1_1(X24)
        | ~ c3_1(X24)
        | c0_1(X24) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f602,plain,
    ( ~ spl0_56
    | spl0_22
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f339,f598,f433,f441,f591]) ).

fof(f607,plain,
    ( ~ spl0_29
    | spl0_45
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f341,f598,f433,f539,f470]) ).

fof(f608,plain,
    ( spl0_23
    | spl0_46
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f342,f598,f433,f545,f445]) ).

fof(f609,plain,
    ( ~ spl0_48
    | spl0_54
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f343,f598,f433,f581,f556]) ).

fof(f611,definition,
    ( spl0_60
  <=> ! [X10] :
        ( c0_1(X10)
        | c2_1(X10)
        | c1_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f612,plain,
    ( ! [X10] :
        ( c1_1(X10)
        | c2_1(X10)
        | c0_1(X10) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f611]) ).

fof(f613,plain,
    ( ~ spl0_32
    | ~ spl0_48
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f260,f611,f433,f556,f481]) ).

fof(f615,plain,
    ( ~ spl0_14
    | spl0_39
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f345,f611,f433,f510,f406]) ).

fof(f616,plain,
    ( spl0_31
    | spl0_45
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f346,f611,f433,f539,f477]) ).

fof(f617,plain,
    ( ~ spl0_48
    | spl0_55
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f347,f611,f433,f586,f556]) ).

fof(f635,definition,
    ( spl0_64
  <=> c3_1(a473) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f638,plain,
    ( ~ spl0_64
    | spl0_18 ),
    inference(avatar_split_clause,[],[f251,f424,f635]) ).

fof(f640,definition,
    ( spl0_65
  <=> c1_1(a473) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f642,plain,
    ( c1_1(a473)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f643,plain,
    ( spl0_65
    | spl0_18 ),
    inference(avatar_split_clause,[],[f250,f424,f640]) ).

fof(f645,definition,
    ( spl0_66
  <=> c0_1(a473) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f648,plain,
    ( spl0_66
    | spl0_18 ),
    inference(avatar_split_clause,[],[f249,f424,f645]) ).

fof(f651,definition,
    ( spl0_67
  <=> c3_1(a470) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f654,plain,
    ( ~ spl0_67
    | spl0_19 ),
    inference(avatar_split_clause,[],[f247,f429,f651]) ).

fof(f661,definition,
    ( spl0_69
  <=> c1_1(a470) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f663,plain,
    ( c1_1(a470)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f664,plain,
    ( spl0_69
    | spl0_19 ),
    inference(avatar_split_clause,[],[f245,f429,f661]) ).

fof(f667,definition,
    ( spl0_70
  <=> c3_1(a461) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f669,plain,
    ( ~ c3_1(a461)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f670,plain,
    ( ~ spl0_70
    | spl0_14 ),
    inference(avatar_split_clause,[],[f243,f406,f667]) ).

fof(f672,definition,
    ( spl0_71
  <=> c2_1(a461) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f675,plain,
    ( spl0_71
    | spl0_14 ),
    inference(avatar_split_clause,[],[f242,f406,f672]) ).

fof(f677,definition,
    ( spl0_72
  <=> c0_1(a461) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f680,plain,
    ( spl0_72
    | spl0_14 ),
    inference(avatar_split_clause,[],[f241,f406,f677]) ).

fof(f683,definition,
    ( spl0_73
  <=> c2_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f686,plain,
    ( ~ spl0_73
    | spl0_6 ),
    inference(avatar_split_clause,[],[f239,f370,f683]) ).

fof(f688,definition,
    ( spl0_74
  <=> c1_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f690,plain,
    ( ~ c1_1(a540)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f691,plain,
    ( ~ spl0_74
    | spl0_6 ),
    inference(avatar_split_clause,[],[f238,f370,f688]) ).

fof(f693,definition,
    ( spl0_75
  <=> c0_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f696,plain,
    ( spl0_75
    | spl0_6 ),
    inference(avatar_split_clause,[],[f237,f370,f693]) ).

fof(f699,definition,
    ( spl0_76
  <=> c3_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f702,plain,
    ( spl0_76
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f235,f393,f699]) ).

fof(f704,definition,
    ( spl0_77
  <=> c1_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f706,plain,
    ( ~ c1_1(a533)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f707,plain,
    ( ~ spl0_77
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f87,f393,f704]) ).

fof(f709,definition,
    ( spl0_78
  <=> c0_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f712,plain,
    ( spl0_78
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f88,f393,f709]) ).

fof(f715,definition,
    ( spl0_79
  <=> c2_1(a524) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f718,plain,
    ( ~ spl0_79
    | spl0_17 ),
    inference(avatar_split_clause,[],[f234,f420,f715]) ).

fof(f720,definition,
    ( spl0_80
  <=> c1_1(a524) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f722,plain,
    ( c1_1(a524)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f723,plain,
    ( spl0_80
    | spl0_17 ),
    inference(avatar_split_clause,[],[f233,f420,f720]) ).

fof(f725,definition,
    ( spl0_81
  <=> c0_1(a524) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f728,plain,
    ( spl0_81
    | spl0_17 ),
    inference(avatar_split_clause,[],[f232,f420,f725]) ).

fof(f731,definition,
    ( spl0_82
  <=> c1_1(a512) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ c1_1(a512)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f734,plain,
    ( ~ spl0_82
    | spl0_10 ),
    inference(avatar_split_clause,[],[f230,f388,f731]) ).

fof(f736,definition,
    ( spl0_83
  <=> c3_1(a512) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f739,plain,
    ( ~ spl0_83
    | spl0_10 ),
    inference(avatar_split_clause,[],[f229,f388,f736]) ).

fof(f741,definition,
    ( spl0_84
  <=> c0_1(a512) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f744,plain,
    ( spl0_84
    | spl0_10 ),
    inference(avatar_split_clause,[],[f228,f388,f741]) ).

fof(f747,definition,
    ( spl0_85
  <=> c1_1(a503) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ c1_1(a503)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f750,plain,
    ( ~ spl0_85
    | spl0_3 ),
    inference(avatar_split_clause,[],[f226,f357,f747]) ).

fof(f752,definition,
    ( spl0_86
  <=> c3_1(a503) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f754,plain,
    ( ~ c3_1(a503)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f755,plain,
    ( ~ spl0_86
    | spl0_3 ),
    inference(avatar_split_clause,[],[f225,f357,f752]) ).

fof(f757,definition,
    ( spl0_87
  <=> c2_1(a503) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f760,plain,
    ( spl0_87
    | spl0_3 ),
    inference(avatar_split_clause,[],[f224,f357,f757]) ).

fof(f761,plain,
    ( spl0_20
    | spl0_3 ),
    inference(avatar_split_clause,[],[f223,f357,f433]) ).

fof(f763,definition,
    ( spl0_88
  <=> c0_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f766,plain,
    ( ~ spl0_88
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f102,f505,f763]) ).

fof(f768,definition,
    ( spl0_89
  <=> c3_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f770,plain,
    ( ~ c3_1(a502)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( ~ spl0_89
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f222,f505,f768]) ).

fof(f773,definition,
    ( spl0_90
  <=> c2_1(a502) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f776,plain,
    ( spl0_90
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f104,f505,f773]) ).

fof(f779,definition,
    ( spl0_91
  <=> c0_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f782,plain,
    ( ~ spl0_91
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f106,f453,f779]) ).

fof(f784,definition,
    ( spl0_92
  <=> c2_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f787,plain,
    ( spl0_92
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f107,f453,f784]) ).

fof(f789,definition,
    ( spl0_93
  <=> c1_1(a500) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f791,plain,
    ( c1_1(a500)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f792,plain,
    ( spl0_93
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f108,f453,f789]) ).

fof(f795,definition,
    ( spl0_94
  <=> c3_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f797,plain,
    ( c3_1(a494)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f798,plain,
    ( spl0_94
    | spl0_16 ),
    inference(avatar_split_clause,[],[f221,f416,f795]) ).

fof(f800,definition,
    ( spl0_95
  <=> c1_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f802,plain,
    ( ~ c1_1(a494)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f803,plain,
    ( ~ spl0_95
    | spl0_16 ),
    inference(avatar_split_clause,[],[f220,f416,f800]) ).

fof(f805,definition,
    ( spl0_96
  <=> c0_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f808,plain,
    ( ~ spl0_96
    | spl0_16 ),
    inference(avatar_split_clause,[],[f219,f416,f805]) ).

fof(f811,definition,
    ( spl0_97
  <=> c2_1(a493) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f814,plain,
    ( ~ spl0_97
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f114,f362,f811]) ).

fof(f816,definition,
    ( spl0_98
  <=> c0_1(a493) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f819,plain,
    ( ~ spl0_98
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f115,f362,f816]) ).

fof(f821,definition,
    ( spl0_99
  <=> c1_1(a493) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f823,plain,
    ( c1_1(a493)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f824,plain,
    ( spl0_99
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f116,f362,f821]) ).

fof(f827,definition,
    ( spl0_100
  <=> c2_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f830,plain,
    ( ~ spl0_100
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f118,f366,f827]) ).

fof(f832,definition,
    ( spl0_101
  <=> c3_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f834,plain,
    ( ~ c3_1(a492)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f835,plain,
    ( ~ spl0_101
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f217,f366,f832]) ).

fof(f837,definition,
    ( spl0_102
  <=> c1_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f839,plain,
    ( c1_1(a492)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f840,plain,
    ( spl0_102
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f120,f366,f837]) ).

fof(f843,definition,
    ( spl0_103
  <=> c3_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f846,plain,
    ( spl0_103
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f216,f402,f843]) ).

fof(f848,definition,
    ( spl0_104
  <=> c2_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f851,plain,
    ( ~ spl0_104
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f123,f402,f848]) ).

fof(f853,definition,
    ( spl0_105
  <=> c1_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f855,plain,
    ( ~ c1_1(a488)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f856,plain,
    ( ~ spl0_105
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f124,f402,f853]) ).

fof(f875,definition,
    ( spl0_109
  <=> c2_1(a480) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f878,plain,
    ( ~ spl0_109
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f130,f349,f875]) ).

fof(f880,definition,
    ( spl0_110
  <=> c1_1(a480) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f882,plain,
    ( ~ c1_1(a480)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f883,plain,
    ( ~ spl0_110
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f131,f349,f880]) ).

fof(f885,definition,
    ( spl0_111
  <=> c0_1(a480) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f888,plain,
    ( ~ spl0_111
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f349,f885]) ).

fof(f889,plain,
    ( spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f349,f433]) ).

fof(f891,definition,
    ( spl0_112
  <=> c3_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f893,plain,
    ( c3_1(a478)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f894,plain,
    ( spl0_112
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f211,f375,f891]) ).

fof(f896,definition,
    ( spl0_113
  <=> c0_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f899,plain,
    ( ~ spl0_113
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f135,f375,f896]) ).

fof(f901,definition,
    ( spl0_114
  <=> c2_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f904,plain,
    ( spl0_114
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f136,f375,f901]) ).

fof(f923,definition,
    ( spl0_118
  <=> c1_1(a476) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ c1_1(a476)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f926,plain,
    ( ~ spl0_118
    | spl0_12 ),
    inference(avatar_split_clause,[],[f209,f397,f923]) ).

fof(f928,definition,
    ( spl0_119
  <=> c2_1(a476) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f931,plain,
    ( spl0_119
    | spl0_12 ),
    inference(avatar_split_clause,[],[f208,f397,f928]) ).

fof(f933,definition,
    ( spl0_120
  <=> c0_1(a476) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f936,plain,
    ( spl0_120
    | spl0_12 ),
    inference(avatar_split_clause,[],[f207,f397,f933]) ).

fof(f955,definition,
    ( spl0_124
  <=> c2_1(a474) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f958,plain,
    ( ~ spl0_124
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f150,f458,f955]) ).

fof(f960,definition,
    ( spl0_125
  <=> c1_1(a474) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f962,plain,
    ( ~ c1_1(a474)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f963,plain,
    ( ~ spl0_125
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f151,f458,f960]) ).

fof(f965,definition,
    ( spl0_126
  <=> c3_1(a474) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f967,plain,
    ( ~ c3_1(a474)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f968,plain,
    ( ~ spl0_126
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f204,f458,f965]) ).

fof(f971,definition,
    ( spl0_127
  <=> c3_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f974,plain,
    ( spl0_127
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f203,f353,f971]) ).

fof(f976,definition,
    ( spl0_128
  <=> c1_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f978,plain,
    ( ~ c1_1(a471)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f979,plain,
    ( ~ spl0_128
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f155,f353,f976]) ).

fof(f981,definition,
    ( spl0_129
  <=> c2_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f984,plain,
    ( spl0_129
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f156,f353,f981]) ).

fof(f985,plain,
    ( spl0_20
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f157,f353,f433]) ).

fof(f987,definition,
    ( spl0_130
  <=> c2_1(a468) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f990,plain,
    ( ~ spl0_130
    | spl0_8 ),
    inference(avatar_split_clause,[],[f202,f379,f987]) ).

fof(f992,definition,
    ( spl0_131
  <=> c3_1(a468) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f994,plain,
    ( ~ c3_1(a468)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f995,plain,
    ( ~ spl0_131
    | spl0_8 ),
    inference(avatar_split_clause,[],[f201,f379,f992]) ).

fof(f997,definition,
    ( spl0_132
  <=> c0_1(a468) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1000,plain,
    ( spl0_132
    | spl0_8 ),
    inference(avatar_split_clause,[],[f200,f379,f997]) ).

fof(f1003,definition,
    ( spl0_133
  <=> c1_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1005,plain,
    ( ~ c1_1(a467)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f1006,plain,
    ( ~ spl0_133
    | spl0_56 ),
    inference(avatar_split_clause,[],[f198,f591,f1003]) ).

fof(f1008,definition,
    ( spl0_134
  <=> c0_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1011,plain,
    ( ~ spl0_134
    | spl0_56 ),
    inference(avatar_split_clause,[],[f197,f591,f1008]) ).

fof(f1013,definition,
    ( spl0_135
  <=> c3_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1015,plain,
    ( ~ c3_1(a467)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f1013]) ).

fof(f1016,plain,
    ( ~ spl0_135
    | spl0_56 ),
    inference(avatar_split_clause,[],[f196,f591,f1013]) ).

fof(f1019,definition,
    ( spl0_136
  <=> c0_1(a466) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1022,plain,
    ( ~ spl0_136
    | spl0_29 ),
    inference(avatar_split_clause,[],[f194,f470,f1019]) ).

fof(f1024,definition,
    ( spl0_137
  <=> c3_1(a466) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1026,plain,
    ( ~ c3_1(a466)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1027,plain,
    ( ~ spl0_137
    | spl0_29 ),
    inference(avatar_split_clause,[],[f193,f470,f1024]) ).

fof(f1029,definition,
    ( spl0_138
  <=> c1_1(a466) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1031,plain,
    ( c1_1(a466)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f1029]) ).

fof(f1032,plain,
    ( spl0_138
    | spl0_29 ),
    inference(avatar_split_clause,[],[f192,f470,f1029]) ).

fof(f1035,definition,
    ( spl0_139
  <=> c3_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1037,plain,
    ( c3_1(a465)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1038,plain,
    ( spl0_139
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f190,f445,f1035]) ).

fof(f1040,definition,
    ( spl0_140
  <=> c2_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1043,plain,
    ( ~ spl0_140
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f171,f445,f1040]) ).

fof(f1045,definition,
    ( spl0_141
  <=> c0_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1048,plain,
    ( ~ spl0_141
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f172,f445,f1045]) ).

fof(f1051,definition,
    ( spl0_142
  <=> c1_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1053,plain,
    ( ~ c1_1(a463)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1054,plain,
    ( ~ spl0_142
    | spl0_32 ),
    inference(avatar_split_clause,[],[f189,f481,f1051]) ).

fof(f1056,definition,
    ( spl0_143
  <=> c0_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1059,plain,
    ( ~ spl0_143
    | spl0_32 ),
    inference(avatar_split_clause,[],[f188,f481,f1056]) ).

fof(f1061,definition,
    ( spl0_144
  <=> c2_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1064,plain,
    ( spl0_144
    | spl0_32 ),
    inference(avatar_split_clause,[],[f187,f481,f1061]) ).

fof(f1067,definition,
    ( spl0_145
  <=> c3_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1069,plain,
    ( c3_1(a460)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f1070,plain,
    ( spl0_145
    | spl0_48 ),
    inference(avatar_split_clause,[],[f185,f556,f1067]) ).

fof(f1072,definition,
    ( spl0_146
  <=> c2_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1075,plain,
    ( ~ spl0_146
    | spl0_48 ),
    inference(avatar_split_clause,[],[f184,f556,f1072]) ).

fof(f1077,definition,
    ( spl0_147
  <=> c0_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1080,plain,
    ( spl0_147
    | spl0_48 ),
    inference(avatar_split_clause,[],[f183,f556,f1077]) ).

fof(f1102,plain,
    ( c3_1(a492)
    | c2_1(a492)
    | ~ spl0_22
    | ~ spl0_102 ),
    inference(resolution,[],[f839,f442]) ).

fof(f1103,plain,
    ( spl0_100
    | spl0_101
    | ~ spl0_22
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1102,f837,f441,f832,f827]) ).

fof(f1109,plain,
    ( c2_1(a524)
    | ~ c0_1(a524)
    | ~ spl0_24
    | ~ spl0_80 ),
    inference(resolution,[],[f450,f722]) ).

fof(f1111,plain,
    ( ~ spl0_81
    | spl0_79
    | ~ spl0_24
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1109,f720,f449,f715,f725]) ).

fof(f1121,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_30
    | ~ spl0_34 ),
    inference(resolution,[],[f490,f475]) ).

fof(f1122,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(resolution,[],[f490,f450]) ).

fof(f1123,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_34 ),
    inference(resolution,[],[f490,f442]) ).

fof(f1128,plain,
    ( c3_1(a474)
    | ~ c0_1(a474)
    | ~ spl0_34
    | spl0_125 ),
    inference(resolution,[],[f490,f962]) ).

fof(f1137,plain,
    ( c3_1(a503)
    | ~ c0_1(a503)
    | ~ spl0_34
    | spl0_85 ),
    inference(resolution,[],[f490,f749]) ).

fof(f1138,plain,
    ( c3_1(a512)
    | ~ c0_1(a512)
    | ~ spl0_34
    | spl0_82 ),
    inference(resolution,[],[f490,f733]) ).

fof(f1143,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f1123]) ).

fof(f1144,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f1122]) ).

fof(f1145,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_30
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f1121]) ).

fof(f1148,definition,
    ( spl0_151
  <=> c0_1(a470) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1152,plain,
    ( ~ spl0_84
    | spl0_83
    | ~ spl0_34
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1138,f731,f489,f736,f741]) ).

fof(f1154,definition,
    ( spl0_152
  <=> c0_1(a503) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1157,plain,
    ( ~ spl0_152
    | spl0_86
    | ~ spl0_34
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1137,f747,f489,f752,f1154]) ).

fof(f1159,definition,
    ( spl0_153
  <=> c0_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1164,definition,
    ( spl0_154
  <=> c0_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1174,definition,
    ( spl0_156
  <=> c0_1(a474) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1177,plain,
    ( ~ spl0_156
    | spl0_126
    | ~ spl0_34
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1128,f960,f489,f965,f1174]) ).

fof(f1179,definition,
    ( spl0_157
  <=> c0_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1183,plain,
    ( spl0_28
    | ~ spl0_22
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1143,f489,f441,f466]) ).

fof(f1184,plain,
    ( spl0_28
    | ~ spl0_24
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1144,f489,f449,f466]) ).

fof(f1286,plain,
    ( ~ c2_1(a471)
    | ~ c3_1(a471)
    | ~ spl0_37
    | spl0_128 ),
    inference(resolution,[],[f502,f978]) ).

fof(f1303,definition,
    ( spl0_158
  <=> c2_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1317,plain,
    ( ~ c3_1(a480)
    | c2_1(a480)
    | ~ spl0_42
    | spl0_110 ),
    inference(resolution,[],[f525,f882]) ).

fof(f1318,plain,
    ( ~ c3_1(a488)
    | c2_1(a488)
    | ~ spl0_42
    | spl0_105 ),
    inference(resolution,[],[f525,f855]) ).

fof(f1320,plain,
    ( ~ c3_1(a494)
    | c2_1(a494)
    | ~ spl0_42
    | spl0_95 ),
    inference(resolution,[],[f525,f802]) ).

fof(f1325,plain,
    ( ~ c3_1(a540)
    | c2_1(a540)
    | ~ spl0_42
    | spl0_74 ),
    inference(resolution,[],[f525,f690]) ).

fof(f1335,definition,
    ( spl0_160
  <=> c3_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1337,plain,
    ( ~ c3_1(a540)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1335]) ).

fof(f1347,definition,
    ( spl0_162
  <=> c3_1(a480) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1349,plain,
    ( ~ c3_1(a480)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1347]) ).

fof(f1350,plain,
    ( spl0_109
    | ~ spl0_162
    | ~ spl0_42
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1317,f880,f524,f1347,f875]) ).

fof(f1352,definition,
    ( spl0_163
  <=> c3_1(a476) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1354,plain,
    ( ~ c3_1(a476)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1352]) ).

fof(f1361,plain,
    ( c3_1(a466)
    | c2_1(a466)
    | ~ spl0_22
    | ~ spl0_138 ),
    inference(resolution,[],[f1031,f442]) ).

fof(f1363,definition,
    ( spl0_165
  <=> c2_1(a466) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1366,plain,
    ( spl0_165
    | spl0_137
    | ~ spl0_22
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1361,f1029,f441,f1024,f1363]) ).

fof(f1370,plain,
    ( c0_1(a466)
    | ~ c2_1(a466)
    | ~ spl0_44
    | spl0_137 ),
    inference(resolution,[],[f534,f1026]) ).

fof(f1371,plain,
    ( c0_1(a467)
    | ~ c2_1(a467)
    | ~ spl0_44
    | spl0_135 ),
    inference(resolution,[],[f534,f1015]) ).

fof(f1381,plain,
    ( c0_1(a502)
    | ~ c2_1(a502)
    | ~ spl0_44
    | spl0_89 ),
    inference(resolution,[],[f534,f770]) ).

fof(f1382,plain,
    ( c0_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_44
    | spl0_86 ),
    inference(resolution,[],[f534,f754]) ).

fof(f1407,definition,
    ( spl0_169
  <=> c2_1(a467) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1413,plain,
    ( c3_1(a466)
    | c0_1(a466)
    | ~ spl0_45
    | ~ spl0_138 ),
    inference(resolution,[],[f540,f1031]) ).

fof(f1418,plain,
    ( ~ c2_1(a466)
    | c0_1(a466)
    | ~ spl0_46
    | ~ spl0_138 ),
    inference(resolution,[],[f546,f1031]) ).

fof(f1426,plain,
    ( ~ c2_1(a478)
    | c0_1(a478)
    | ~ spl0_49
    | ~ spl0_112 ),
    inference(resolution,[],[f561,f893]) ).

fof(f1449,plain,
    ( ~ c0_1(a476)
    | ~ spl0_30
    | ~ spl0_34
    | spl0_163 ),
    inference(resolution,[],[f1145,f1354]) ).

fof(f1472,plain,
    ( c2_1(a468)
    | ~ c0_1(a468)
    | ~ spl0_28
    | spl0_131 ),
    inference(resolution,[],[f467,f994]) ).

fof(f1478,plain,
    ( c2_1(a492)
    | ~ c0_1(a492)
    | ~ spl0_28
    | spl0_101 ),
    inference(resolution,[],[f467,f834]) ).

fof(f1484,plain,
    ( c2_1(a540)
    | ~ c0_1(a540)
    | ~ spl0_28
    | spl0_160 ),
    inference(resolution,[],[f467,f1337]) ).

fof(f1492,plain,
    ( c3_1(a473)
    | ~ c0_1(a473)
    | ~ spl0_30
    | ~ spl0_65 ),
    inference(resolution,[],[f475,f642]) ).

fof(f1517,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_39 ),
    inference(resolution,[],[f511,f450]) ).

fof(f1521,plain,
    ( ~ c0_1(a471)
    | ~ c3_1(a471)
    | ~ spl0_39
    | spl0_128 ),
    inference(resolution,[],[f511,f978]) ).

fof(f1524,plain,
    ( ~ c0_1(a476)
    | ~ c3_1(a476)
    | ~ spl0_39
    | spl0_118 ),
    inference(resolution,[],[f511,f925]) ).

fof(f1532,plain,
    ( ~ c0_1(a533)
    | ~ c3_1(a533)
    | ~ spl0_39
    | spl0_77 ),
    inference(resolution,[],[f511,f706]) ).

fof(f1536,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_24
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1517]) ).

fof(f1538,plain,
    ( spl0_31
    | ~ spl0_24
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1536,f510,f449,f477]) ).

fof(f1539,plain,
    ( ~ spl0_127
    | ~ spl0_129
    | ~ spl0_37
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1286,f976,f501,f981,f971]) ).

fof(f1549,plain,
    ( ~ c2_1(a476)
    | ~ c3_1(a476)
    | ~ spl0_37
    | spl0_118 ),
    inference(resolution,[],[f502,f925]) ).

fof(f1553,plain,
    ( ~ c2_1(a494)
    | ~ c3_1(a494)
    | ~ spl0_37
    | spl0_95 ),
    inference(resolution,[],[f502,f802]) ).

fof(f1566,plain,
    ( ~ c0_1(a474)
    | c2_1(a474)
    | ~ spl0_41
    | spl0_125 ),
    inference(resolution,[],[f521,f962]) ).

fof(f1570,plain,
    ( ~ c0_1(a488)
    | c2_1(a488)
    | ~ spl0_41
    | spl0_105 ),
    inference(resolution,[],[f521,f855]) ).

fof(f1577,plain,
    ( ~ c0_1(a540)
    | c2_1(a540)
    | ~ spl0_41
    | spl0_74 ),
    inference(resolution,[],[f521,f690]) ).

fof(f1587,plain,
    ( c0_1(a474)
    | c2_1(a474)
    | ~ spl0_51
    | spl0_126 ),
    inference(resolution,[],[f569,f967]) ).

fof(f1590,plain,
    ( c0_1(a480)
    | c2_1(a480)
    | ~ spl0_51
    | spl0_162 ),
    inference(resolution,[],[f569,f1349]) ).

fof(f1592,plain,
    ( c0_1(a492)
    | c2_1(a492)
    | ~ spl0_51
    | spl0_101 ),
    inference(resolution,[],[f569,f834]) ).

fof(f1618,plain,
    ( ~ spl0_120
    | ~ spl0_30
    | ~ spl0_34
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1449,f1352,f489,f474,f933]) ).

fof(f1691,plain,
    ( c0_1(a466)
    | c2_1(a466)
    | ~ spl0_53
    | ~ spl0_138 ),
    inference(resolution,[],[f577,f1031]) ).

fof(f1694,plain,
    ( c0_1(a493)
    | c2_1(a493)
    | ~ spl0_53
    | ~ spl0_99 ),
    inference(resolution,[],[f577,f823]) ).

fof(f1704,plain,
    ( ~ spl0_75
    | spl0_73
    | ~ spl0_28
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1484,f1335,f466,f683,f693]) ).

fof(f1706,plain,
    ( ~ spl0_163
    | ~ spl0_119
    | ~ spl0_37
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1549,f923,f501,f928,f1352]) ).

fof(f1708,plain,
    ( ~ spl0_66
    | spl0_64
    | ~ spl0_30
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1492,f640,f474,f635,f645]) ).

fof(f1712,plain,
    ( spl0_104
    | ~ spl0_103
    | ~ spl0_42
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1318,f853,f524,f843,f848]) ).

fof(f1713,plain,
    ( spl0_158
    | ~ spl0_94
    | ~ spl0_42
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1320,f800,f524,f795,f1303]) ).

fof(f1714,plain,
    ( spl0_73
    | ~ spl0_160
    | ~ spl0_42
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1325,f688,f524,f1335,f683]) ).

fof(f1745,plain,
    ( ~ c0_1(a476)
    | ~ c2_1(a476)
    | ~ spl0_35
    | spl0_163 ),
    inference(resolution,[],[f494,f1354]) ).

fof(f1751,plain,
    ( ~ c0_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_35
    | spl0_86 ),
    inference(resolution,[],[f494,f754]) ).

fof(f1755,plain,
    ( ~ c0_1(a461)
    | ~ c2_1(a461)
    | ~ spl0_35
    | spl0_70 ),
    inference(resolution,[],[f494,f669]) ).

fof(f1760,plain,
    ( ~ spl0_119
    | ~ spl0_120
    | ~ spl0_35
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1745,f1352,f493,f933,f928]) ).

fof(f1761,plain,
    ( ~ c0_1(a460)
    | c2_1(a460)
    | ~ spl0_31
    | ~ spl0_145 ),
    inference(resolution,[],[f478,f1069]) ).

fof(f1769,plain,
    ( spl0_146
    | ~ spl0_147
    | ~ spl0_31
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1761,f1067,f477,f1077,f1072]) ).

fof(f1770,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_27
    | ~ spl0_42 ),
    inference(resolution,[],[f525,f463]) ).

fof(f1772,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_53 ),
    inference(resolution,[],[f525,f577]) ).

fof(f1793,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_42
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1772]) ).

fof(f1795,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f1770]) ).

fof(f1796,plain,
    ( c2_1(a465)
    | ~ spl0_27
    | ~ spl0_42
    | ~ spl0_139 ),
    inference(resolution,[],[f1795,f1037]) ).

fof(f1803,plain,
    ( spl0_140
    | ~ spl0_27
    | ~ spl0_42
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1796,f1035,f524,f462,f1040]) ).

fof(f1817,plain,
    ( c0_1(a465)
    | c2_1(a465)
    | ~ spl0_54
    | ~ spl0_139 ),
    inference(resolution,[],[f582,f1037]) ).

fof(f1825,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_45
    | ~ spl0_55 ),
    inference(resolution,[],[f587,f540]) ).

fof(f1830,plain,
    ( ~ c2_1(a463)
    | c0_1(a463)
    | ~ spl0_55
    | spl0_142 ),
    inference(resolution,[],[f587,f1053]) ).

fof(f1839,plain,
    ( ~ c2_1(a494)
    | c0_1(a494)
    | ~ spl0_55
    | spl0_95 ),
    inference(resolution,[],[f587,f802]) ).

fof(f1840,plain,
    ( ~ c2_1(a503)
    | c0_1(a503)
    | ~ spl0_55
    | spl0_85 ),
    inference(resolution,[],[f587,f749]) ).

fof(f1848,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_45
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f1825]) ).

fof(f1849,plain,
    ( spl0_152
    | ~ spl0_87
    | ~ spl0_55
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1840,f747,f586,f757,f1154]) ).

fof(f1854,plain,
    ( spl0_44
    | ~ spl0_45
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1848,f586,f539,f533]) ).

fof(f1855,plain,
    ( c3_1(a470)
    | c0_1(a470)
    | ~ spl0_45
    | ~ spl0_69 ),
    inference(resolution,[],[f663,f540]) ).

fof(f1860,plain,
    ( spl0_151
    | spl0_67
    | ~ spl0_45
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1855,f661,f539,f651,f1148]) ).

fof(f1867,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_53
    | ~ spl0_58 ),
    inference(resolution,[],[f599,f577]) ).

fof(f1872,plain,
    ( ~ c3_1(a471)
    | c0_1(a471)
    | ~ spl0_58
    | spl0_128 ),
    inference(resolution,[],[f599,f978]) ).

fof(f1878,plain,
    ( ~ c3_1(a494)
    | c0_1(a494)
    | ~ spl0_58
    | spl0_95 ),
    inference(resolution,[],[f599,f802]) ).

fof(f1885,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_53
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f1867]) ).

fof(f1894,plain,
    ( ~ c2_1(a500)
    | c0_1(a500)
    | ~ spl0_46
    | ~ spl0_93 ),
    inference(resolution,[],[f546,f791]) ).

fof(f1897,plain,
    ( spl0_91
    | ~ spl0_92
    | ~ spl0_46
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1894,f789,f545,f784,f779]) ).

fof(f1900,plain,
    ( spl0_157
    | ~ spl0_127
    | ~ spl0_58
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1872,f976,f598,f971,f1179]) ).

fof(f1901,plain,
    ( spl0_96
    | ~ spl0_94
    | ~ spl0_58
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1878,f800,f598,f795,f805]) ).

fof(f1911,plain,
    ( ~ c2_1(a476)
    | ~ c0_1(a476)
    | ~ spl0_36
    | spl0_118 ),
    inference(resolution,[],[f497,f925]) ).

fof(f1916,plain,
    ( ~ c2_1(a503)
    | ~ c0_1(a503)
    | ~ spl0_36
    | spl0_85 ),
    inference(resolution,[],[f497,f749]) ).

fof(f1925,plain,
    ( ~ spl0_120
    | ~ spl0_119
    | ~ spl0_36
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1911,f923,f496,f928,f933]) ).

fof(f1949,plain,
    ( ~ spl0_87
    | ~ spl0_152
    | ~ spl0_35
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1751,f752,f493,f1154,f757]) ).

fof(f1952,plain,
    ( ~ spl0_71
    | ~ spl0_72
    | ~ spl0_35
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1755,f667,f493,f677,f672]) ).

fof(f1955,plain,
    ( ~ spl0_76
    | ~ spl0_78
    | ~ spl0_39
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1532,f704,f510,f709,f699]) ).

fof(f1958,plain,
    ( spl0_124
    | ~ spl0_156
    | ~ spl0_41
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1566,f960,f520,f1174,f955]) ).

fof(f1962,plain,
    ( spl0_73
    | ~ spl0_75
    | ~ spl0_41
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1577,f688,f520,f693,f683]) ).

fof(f1964,plain,
    ( spl0_113
    | ~ spl0_114
    | ~ spl0_49
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1426,f891,f560,f901,f896]) ).

fof(f1967,plain,
    ( spl0_124
    | spl0_156
    | ~ spl0_51
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1587,f965,f568,f1174,f955]) ).

fof(f1968,plain,
    ( spl0_109
    | spl0_111
    | ~ spl0_51
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1590,f1347,f568,f885,f875]) ).

fof(f1969,plain,
    ( spl0_100
    | spl0_153
    | ~ spl0_51
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1592,f832,f568,f1159,f827]) ).

fof(f1973,plain,
    ( spl0_165
    | spl0_136
    | ~ spl0_53
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1691,f1029,f576,f1019,f1363]) ).

fof(f1974,plain,
    ( spl0_97
    | spl0_98
    | ~ spl0_53
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1694,f821,f576,f816,f811]) ).

fof(f1975,plain,
    ( spl0_54
    | ~ spl0_42
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1793,f576,f524,f581]) ).

fof(f1976,plain,
    ( spl0_54
    | ~ spl0_53
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1885,f598,f576,f581]) ).

fof(f1977,plain,
    ( ~ spl0_152
    | ~ spl0_87
    | ~ spl0_36
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1916,f747,f496,f757,f1154]) ).

fof(f1983,plain,
    ( ~ spl0_169
    | spl0_134
    | ~ spl0_44
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1371,f1013,f533,f1008,f1407]) ).

fof(f1985,plain,
    ( ~ spl0_87
    | spl0_152
    | ~ spl0_44
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1382,f752,f533,f1154,f757]) ).

fof(f1987,plain,
    ( spl0_136
    | spl0_137
    | ~ spl0_45
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1413,f1029,f539,f1024,f1019]) ).

fof(f1988,plain,
    ( spl0_136
    | ~ spl0_165
    | ~ spl0_46
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1418,f1029,f545,f1363,f1019]) ).

fof(f1989,plain,
    ( ~ spl0_163
    | ~ spl0_120
    | ~ spl0_39
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1524,f923,f510,f933,f1352]) ).

fof(f1990,plain,
    ( ~ spl0_127
    | ~ spl0_157
    | ~ spl0_39
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1521,f976,f510,f1179,f971]) ).

fof(f1998,plain,
    ( c3_1(a492)
    | ~ c0_1(a492)
    | ~ spl0_30
    | ~ spl0_102 ),
    inference(resolution,[],[f475,f839]) ).

fof(f2002,plain,
    ( c3_1(a470)
    | ~ c0_1(a470)
    | ~ spl0_30
    | ~ spl0_69 ),
    inference(resolution,[],[f475,f663]) ).

fof(f2005,plain,
    ( ~ spl0_151
    | spl0_67
    | ~ spl0_30
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2002,f661,f474,f651,f1148]) ).

fof(f2008,plain,
    ( spl0_140
    | spl0_141
    | ~ spl0_54
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1817,f1035,f581,f1045,f1040]) ).

fof(f2057,plain,
    ( c3_1(a492)
    | c0_1(a492)
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(resolution,[],[f540,f839]) ).

fof(f2082,plain,
    ( c0_1(a494)
    | c2_1(a494)
    | ~ spl0_54
    | ~ spl0_94 ),
    inference(resolution,[],[f582,f797]) ).

fof(f2113,plain,
    ( c2_1(a467)
    | c0_1(a467)
    | ~ spl0_60
    | spl0_133 ),
    inference(resolution,[],[f612,f1005]) ).

fof(f2115,plain,
    ( c2_1(a474)
    | c0_1(a474)
    | ~ spl0_60
    | spl0_125 ),
    inference(resolution,[],[f612,f962]) ).

fof(f2117,plain,
    ( c2_1(a480)
    | c0_1(a480)
    | ~ spl0_60
    | spl0_110 ),
    inference(resolution,[],[f612,f882]) ).

fof(f2118,plain,
    ( c2_1(a488)
    | c0_1(a488)
    | ~ spl0_60
    | spl0_105 ),
    inference(resolution,[],[f612,f855]) ).

fof(f2127,plain,
    ( spl0_154
    | spl0_104
    | ~ spl0_60
    | spl0_105 ),
    inference(avatar_split_clause,[],[f2118,f853,f611,f848,f1164]) ).

fof(f2128,plain,
    ( spl0_111
    | spl0_109
    | ~ spl0_60
    | spl0_110 ),
    inference(avatar_split_clause,[],[f2117,f880,f611,f875,f885]) ).

fof(f2129,plain,
    ( spl0_156
    | spl0_124
    | ~ spl0_60
    | spl0_125 ),
    inference(avatar_split_clause,[],[f2115,f960,f611,f955,f1174]) ).

fof(f2130,plain,
    ( spl0_134
    | spl0_169
    | ~ spl0_60
    | spl0_133 ),
    inference(avatar_split_clause,[],[f2113,f1003,f611,f1407,f1008]) ).

fof(f2134,plain,
    ( ~ spl0_132
    | spl0_130
    | ~ spl0_28
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1472,f992,f466,f987,f997]) ).

fof(f2135,plain,
    ( ~ spl0_153
    | spl0_100
    | ~ spl0_28
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1478,f832,f466,f827,f1159]) ).

fof(f2143,plain,
    ( ~ spl0_153
    | spl0_101
    | ~ spl0_30
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1998,f837,f474,f832,f1159]) ).

fof(f2155,plain,
    ( ~ spl0_94
    | ~ spl0_158
    | ~ spl0_37
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1553,f800,f501,f1303,f795]) ).

fof(f2158,plain,
    ( spl0_104
    | ~ spl0_154
    | ~ spl0_41
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1570,f853,f520,f1164,f848]) ).

fof(f2161,plain,
    ( spl0_143
    | ~ spl0_144
    | ~ spl0_55
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1830,f1051,f586,f1061,f1056]) ).

fof(f2163,plain,
    ( spl0_96
    | ~ spl0_158
    | ~ spl0_55
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1839,f800,f586,f1303,f805]) ).

fof(f2169,plain,
    ( ~ spl0_90
    | spl0_88
    | ~ spl0_44
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1381,f768,f533,f763,f773]) ).

fof(f2170,plain,
    ( ~ spl0_165
    | spl0_136
    | ~ spl0_44
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1370,f1024,f533,f1019,f1363]) ).

fof(f2173,plain,
    ( spl0_158
    | spl0_96
    | ~ spl0_54
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f2082,f795,f581,f805,f1303]) ).

fof(f2176,plain,
    ( spl0_153
    | spl0_101
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2057,f837,f539,f832,f1159]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s3,plain,
    ( spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s8,plain,
    ( ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s10,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_20
    | spl0_22 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | ~ spl0_20
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s14,plain,
    ( ~ spl0_10
    | ~ spl0_20
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s15,plain,
    ( ~ spl0_20
    | ~ spl0_29
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s17,plain,
    ( spl0_1
    | ~ spl0_20
    | ~ spl0_29
    | spl0_34 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s18,plain,
    ( ~ spl0_16
    | ~ spl0_20
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s20,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_20
    | spl0_37 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | ~ spl0_20
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s23,plain,
    ( spl0_4
    | ~ spl0_18
    | ~ spl0_20
    | spl0_39 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s24,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_31
    | spl0_39 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s26,plain,
    ( spl0_4
    | ~ spl0_16
    | ~ spl0_20
    | spl0_41 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s27,plain,
    ( spl0_5
    | ~ spl0_20
    | ~ spl0_29
    | spl0_42 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s30,plain,
    ( ~ spl0_20
    | spl0_24
    | spl0_37
    | spl0_44 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s31,plain,
    ( ~ spl0_20
    | spl0_30
    | spl0_42
    | spl0_44 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s37,plain,
    ( ~ spl0_12
    | ~ spl0_20
    | spl0_39
    | spl0_46 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s39,plain,
    ( spl0_1
    | ~ spl0_20
    | ~ spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s42,plain,
    ( ~ spl0_12
    | ~ spl0_20
    | spl0_44
    | spl0_51 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s44,plain,
    ( ~ spl0_20
    | spl0_44
    | spl0_45
    | spl0_53 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s45,plain,
    ( ~ spl0_20
    | spl0_26
    | spl0_31
    | spl0_54 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s46,plain,
    ( ~ spl0_18
    | ~ spl0_20
    | spl0_42
    | spl0_54 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s47,plain,
    ( spl0_2
    | ~ spl0_20
    | spl0_23
    | spl0_55 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s48,plain,
    ( ~ spl0_19
    | ~ spl0_20
    | spl0_35
    | spl0_55 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s51,plain,
    ( ~ spl0_20
    | spl0_22
    | ~ spl0_56
    | spl0_58 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s53,plain,
    ( ~ spl0_20
    | ~ spl0_29
    | spl0_45
    | spl0_58 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s54,plain,
    ( ~ spl0_20
    | spl0_23
    | spl0_46
    | spl0_58 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s55,plain,
    ( ~ spl0_20
    | ~ spl0_48
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s56,plain,
    ( ~ spl0_20
    | ~ spl0_32
    | ~ spl0_48
    | spl0_60 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s58,plain,
    ( ~ spl0_14
    | ~ spl0_20
    | spl0_39
    | spl0_60 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s59,plain,
    ( ~ spl0_20
    | spl0_31
    | spl0_45
    | spl0_60 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s60,plain,
    ( ~ spl0_20
    | ~ spl0_48
    | spl0_55
    | spl0_60 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s65,plain,
    ( spl0_18
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s66,plain,
    ( spl0_18
    | spl0_65 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s67,plain,
    ( spl0_18
    | spl0_66 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s69,plain,
    ( spl0_19
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s71,plain,
    ( spl0_19
    | spl0_69 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s73,plain,
    ( spl0_14
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s74,plain,
    ( spl0_14
    | spl0_71 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s75,plain,
    ( spl0_14
    | spl0_72 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s77,plain,
    ( spl0_6
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s78,plain,
    ( spl0_6
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s79,plain,
    ( spl0_6
    | spl0_75 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s81,plain,
    ( ~ spl0_11
    | spl0_76 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s82,plain,
    ( ~ spl0_11
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s83,plain,
    ( ~ spl0_11
    | spl0_78 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s85,plain,
    ( spl0_17
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s86,plain,
    ( spl0_17
    | spl0_80 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s87,plain,
    ( spl0_17
    | spl0_81 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s89,plain,
    ( spl0_10
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s90,plain,
    ( spl0_10
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s91,plain,
    ( spl0_10
    | spl0_84 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s93,plain,
    ( spl0_3
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s94,plain,
    ( spl0_3
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s95,plain,
    ( spl0_3
    | spl0_87 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s96,plain,
    ( spl0_3
    | spl0_20 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s97,plain,
    ( ~ spl0_38
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s98,plain,
    ( ~ spl0_38
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s99,plain,
    ( ~ spl0_38
    | spl0_90 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s101,plain,
    ( ~ spl0_25
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s102,plain,
    ( ~ spl0_25
    | spl0_92 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s103,plain,
    ( ~ spl0_25
    | spl0_93 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s105,plain,
    ( spl0_16
    | spl0_94 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s106,plain,
    ( spl0_16
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s107,plain,
    ( spl0_16
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s109,plain,
    ( ~ spl0_4
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s110,plain,
    ( ~ spl0_4
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s111,plain,
    ( ~ spl0_4
    | spl0_99 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s113,plain,
    ( ~ spl0_5
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s114,plain,
    ( ~ spl0_5
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s115,plain,
    ( ~ spl0_5
    | spl0_102 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s117,plain,
    ( ~ spl0_13
    | spl0_103 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s118,plain,
    ( ~ spl0_13
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s119,plain,
    ( ~ spl0_13
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s125,plain,
    ( ~ spl0_1
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s126,plain,
    ( ~ spl0_1
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s127,plain,
    ( ~ spl0_1
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s128,plain,
    ( ~ spl0_1
    | spl0_20 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s129,plain,
    ( ~ spl0_7
    | spl0_112 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s130,plain,
    ( ~ spl0_7
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s131,plain,
    ( ~ spl0_7
    | spl0_114 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s137,plain,
    ( spl0_12
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s138,plain,
    ( spl0_12
    | spl0_119 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s139,plain,
    ( spl0_12
    | spl0_120 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s145,plain,
    ( ~ spl0_26
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s146,plain,
    ( ~ spl0_26
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s147,plain,
    ( ~ spl0_26
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f968]) ).

cnf(s149,plain,
    ( ~ spl0_2
    | spl0_127 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s150,plain,
    ( ~ spl0_2
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s151,plain,
    ( ~ spl0_2
    | spl0_129 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s152,plain,
    ( ~ spl0_2
    | spl0_20 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s153,plain,
    ( spl0_8
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s154,plain,
    ( spl0_8
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f995]) ).

cnf(s155,plain,
    ( spl0_8
    | spl0_132 ),
    inference(sat_conversion,[],[f1000]) ).

cnf(s157,plain,
    ( spl0_56
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s158,plain,
    ( spl0_56
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s159,plain,
    ( spl0_56
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1016]) ).

cnf(s161,plain,
    ( spl0_29
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s162,plain,
    ( spl0_29
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s163,plain,
    ( spl0_29
    | spl0_138 ),
    inference(sat_conversion,[],[f1032]) ).

cnf(s165,plain,
    ( ~ spl0_23
    | spl0_139 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s166,plain,
    ( ~ spl0_23
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s167,plain,
    ( ~ spl0_23
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1048]) ).

cnf(s169,plain,
    ( spl0_32
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s170,plain,
    ( spl0_32
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s171,plain,
    ( spl0_32
    | spl0_144 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s173,plain,
    ( spl0_48
    | spl0_145 ),
    inference(sat_conversion,[],[f1070]) ).

cnf(s174,plain,
    ( spl0_48
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s175,plain,
    ( spl0_48
    | spl0_147 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s180,plain,
    ( ~ spl0_22
    | spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s182,plain,
    ( ~ spl0_24
    | spl0_79
    | ~ spl0_80
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f1111]) ).

cnf(s185,plain,
    ( ~ spl0_34
    | spl0_82
    | spl0_83
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s186,plain,
    ( ~ spl0_34
    | spl0_85
    | spl0_86
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s190,plain,
    ( ~ spl0_34
    | spl0_125
    | spl0_126
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1177]) ).

cnf(s192,plain,
    ( ~ spl0_22
    | spl0_28
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f1183]) ).

cnf(s193,plain,
    ( ~ spl0_24
    | spl0_28
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f1184]) ).

cnf(s205,plain,
    ( ~ spl0_42
    | spl0_109
    | spl0_110
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1350]) ).

cnf(s208,plain,
    ( ~ spl0_22
    | spl0_137
    | ~ spl0_138
    | spl0_165 ),
    inference(sat_conversion,[],[f1366]) ).

cnf(s222,plain,
    ( ~ spl0_24
    | spl0_31
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s223,plain,
    ( ~ spl0_37
    | ~ spl0_127
    | spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s240,plain,
    ( ~ spl0_30
    | ~ spl0_34
    | ~ spl0_120
    | spl0_163 ),
    inference(sat_conversion,[],[f1618]) ).

cnf(s258,plain,
    ( ~ spl0_28
    | spl0_73
    | ~ spl0_75
    | spl0_160 ),
    inference(sat_conversion,[],[f1704]) ).

cnf(s260,plain,
    ( ~ spl0_37
    | spl0_118
    | ~ spl0_119
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1706]) ).

cnf(s262,plain,
    ( ~ spl0_30
    | spl0_64
    | ~ spl0_65
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s266,plain,
    ( ~ spl0_42
    | ~ spl0_103
    | spl0_104
    | spl0_105 ),
    inference(sat_conversion,[],[f1712]) ).

cnf(s267,plain,
    ( ~ spl0_42
    | ~ spl0_94
    | spl0_95
    | spl0_158 ),
    inference(sat_conversion,[],[f1713]) ).

cnf(s268,plain,
    ( ~ spl0_42
    | spl0_73
    | spl0_74
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1714]) ).

cnf(s284,plain,
    ( ~ spl0_35
    | ~ spl0_119
    | ~ spl0_120
    | spl0_163 ),
    inference(sat_conversion,[],[f1760]) ).

cnf(s285,plain,
    ( ~ spl0_31
    | ~ spl0_145
    | spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1769]) ).

cnf(s286,plain,
    ( ~ spl0_27
    | ~ spl0_42
    | ~ spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f1803]) ).

cnf(s288,plain,
    ( ~ spl0_55
    | spl0_85
    | ~ spl0_87
    | spl0_152 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s293,plain,
    ( spl0_44
    | ~ spl0_45
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f1854]) ).

cnf(s294,plain,
    ( ~ spl0_45
    | spl0_67
    | ~ spl0_69
    | spl0_151 ),
    inference(sat_conversion,[],[f1860]) ).

cnf(s297,plain,
    ( ~ spl0_46
    | spl0_91
    | ~ spl0_92
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s300,plain,
    ( ~ spl0_58
    | ~ spl0_127
    | spl0_128
    | spl0_157 ),
    inference(sat_conversion,[],[f1900]) ).

cnf(s301,plain,
    ( ~ spl0_58
    | ~ spl0_94
    | spl0_95
    | spl0_96 ),
    inference(sat_conversion,[],[f1901]) ).

cnf(s303,plain,
    ( ~ spl0_36
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1925]) ).

cnf(s327,plain,
    ( ~ spl0_35
    | spl0_86
    | ~ spl0_87
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1949]) ).

cnf(s330,plain,
    ( ~ spl0_35
    | spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f1952]) ).

cnf(s333,plain,
    ( ~ spl0_39
    | ~ spl0_76
    | spl0_77
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f1955]) ).

cnf(s336,plain,
    ( ~ spl0_41
    | spl0_124
    | spl0_125
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1958]) ).

cnf(s340,plain,
    ( ~ spl0_41
    | spl0_73
    | spl0_74
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f1962]) ).

cnf(s342,plain,
    ( ~ spl0_49
    | ~ spl0_112
    | spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1964]) ).

cnf(s345,plain,
    ( ~ spl0_51
    | spl0_124
    | spl0_126
    | spl0_156 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s346,plain,
    ( ~ spl0_51
    | spl0_109
    | spl0_111
    | spl0_162 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s347,plain,
    ( ~ spl0_51
    | spl0_100
    | spl0_101
    | spl0_153 ),
    inference(sat_conversion,[],[f1969]) ).

cnf(s351,plain,
    ( ~ spl0_53
    | spl0_136
    | ~ spl0_138
    | spl0_165 ),
    inference(sat_conversion,[],[f1973]) ).

cnf(s352,plain,
    ( ~ spl0_53
    | spl0_97
    | spl0_98
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f1974]) ).

cnf(s353,plain,
    ( ~ spl0_42
    | ~ spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f1975]) ).

cnf(s354,plain,
    ( ~ spl0_53
    | spl0_54
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f1976]) ).

cnf(s355,plain,
    ( ~ spl0_36
    | spl0_85
    | ~ spl0_87
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1977]) ).

cnf(s361,plain,
    ( ~ spl0_44
    | spl0_134
    | spl0_135
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1983]) ).

cnf(s363,plain,
    ( ~ spl0_44
    | spl0_86
    | ~ spl0_87
    | spl0_152 ),
    inference(sat_conversion,[],[f1985]) ).

cnf(s365,plain,
    ( ~ spl0_45
    | spl0_136
    | spl0_137
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1987]) ).

cnf(s366,plain,
    ( ~ spl0_46
    | spl0_136
    | ~ spl0_138
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1988]) ).

cnf(s367,plain,
    ( ~ spl0_39
    | spl0_118
    | ~ spl0_120
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1989]) ).

cnf(s368,plain,
    ( ~ spl0_39
    | ~ spl0_127
    | spl0_128
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1990]) ).

cnf(s370,plain,
    ( ~ spl0_30
    | spl0_67
    | ~ spl0_69
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f2005]) ).

cnf(s373,plain,
    ( ~ spl0_54
    | ~ spl0_139
    | spl0_140
    | spl0_141 ),
    inference(sat_conversion,[],[f2008]) ).

cnf(s381,plain,
    ( ~ spl0_60
    | spl0_104
    | spl0_105
    | spl0_154 ),
    inference(sat_conversion,[],[f2127]) ).

cnf(s382,plain,
    ( ~ spl0_60
    | spl0_109
    | spl0_110
    | spl0_111 ),
    inference(sat_conversion,[],[f2128]) ).

cnf(s383,plain,
    ( ~ spl0_60
    | spl0_124
    | spl0_125
    | spl0_156 ),
    inference(sat_conversion,[],[f2129]) ).

cnf(s384,plain,
    ( ~ spl0_60
    | spl0_133
    | spl0_134
    | spl0_169 ),
    inference(sat_conversion,[],[f2130]) ).

cnf(s388,plain,
    ( ~ spl0_28
    | spl0_130
    | spl0_131
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f2134]) ).

cnf(s389,plain,
    ( ~ spl0_28
    | spl0_100
    | spl0_101
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2135]) ).

cnf(s397,plain,
    ( ~ spl0_30
    | spl0_101
    | ~ spl0_102
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2143]) ).

cnf(s409,plain,
    ( ~ spl0_37
    | ~ spl0_94
    | spl0_95
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s412,plain,
    ( ~ spl0_41
    | spl0_104
    | spl0_105
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2158]) ).

cnf(s415,plain,
    ( ~ spl0_55
    | spl0_142
    | spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f2161]) ).

cnf(s417,plain,
    ( ~ spl0_55
    | spl0_95
    | spl0_96
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2163]) ).

cnf(s423,plain,
    ( ~ spl0_44
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f2169]) ).

cnf(s424,plain,
    ( ~ spl0_44
    | spl0_136
    | spl0_137
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2170]) ).

cnf(s427,plain,
    ( ~ spl0_54
    | ~ spl0_94
    | spl0_96
    | spl0_158 ),
    inference(sat_conversion,[],[f2173]) ).

cnf(s430,plain,
    ( ~ spl0_45
    | spl0_101
    | ~ spl0_102
    | spl0_153 ),
    inference(sat_conversion,[],[f2176]) ).

cnf(s434,plain,
    ( spl0_29
    | spl0_58
    | ~ spl0_22
    | ~ spl0_20 ),
    inference(rat,[],[s262,s65,s66,s67,s31,s46,s353,s373,s165,s166,s167,s44,s54,s365,s366,s424,s208,s161,s162,s163]) ).

cnf(s435,plain,
    ( spl0_5
    | spl0_4
    | ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s258,s192,s268,s17,s27,s434,s301,s105,s106,s107,s26,s340,s77,s78,s79,s2,s10]) ).

cnf(s436,plain,
    ( spl0_48
    | ~ spl0_31 ),
    inference(rat,[],[s285,s173,s174,s175]) ).

cnf(s437,plain,
    ( spl0_60
    | spl0_45
    | spl0_16
    | ~ spl0_20 ),
    inference(rat,[],[s417,s427,s60,s55,s436,s59,s301,s105,s106,s107]) ).

cnf(s438,plain,
    ( spl0_29
    | spl0_133
    | spl0_134
    | spl0_135
    | spl0_16
    | ~ spl0_20 ),
    inference(rat,[],[s262,s65,s66,s67,s31,s46,s353,s373,s165,s166,s167,s54,s366,s351,s44,s361,s384,s437,s365,s161,s162,s163,s301,s105,s106,s107]) ).

cnf(s439,plain,
    ( spl0_16
    | ~ spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s55,s373,s436,s165,s166,s167,s15,s47,s397,s288,s430,s186,s53,s17,s438,s157,s158,s159,s51,s301,s105,s106,s107,s96,s95,s94,s93,s1,s180,s113,s114,s115]) ).

cnf(s440,plain,
    ( spl0_54
    | spl0_45
    | spl0_58
    | ~ spl0_41
    | ~ spl0_20 ),
    inference(rat,[],[s336,s383,s145,s146,s45,s59,s436,s55]) ).

cnf(s441,plain,
    ( ~ spl0_23
    | ~ spl0_54 ),
    inference(rat,[],[s373,s165,s166,s167]) ).

cnf(s442,plain,
    ( ~ spl0_152
    | ~ spl0_16
    | spl0_3 ),
    inference(rat,[],[s18,s355,s327,s96,s95,s94,s93]) ).

cnf(s443,plain,
    ( spl0_58
    | spl0_54
    | ~ spl0_41
    | spl0_101
    | ~ spl0_102
    | ~ spl0_20 ),
    inference(rat,[],[s365,s161,s162,s163,s15,s397,s430,s436,s440,s55]) ).

cnf(s444,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s365,s161,s162,s163,s17,s185,s89,s90,s91,s14,s286,s31,s389,s397,s430,s44,s354,s443,s441,s165,s166,s47,s288,s363,s442,s26,s439,s113,s114,s115,s435,s96,s95,s94,s93,s1]) ).

cnf(s445,plain,
    ( spl0_16
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s266,s117,s118,s119,s20,s409,s267,s27,s434,s10,s301,s439,s105,s106,s107,s96,s1]) ).

cnf(s446,plain,
    ( spl0_29
    | ~ spl0_45 ),
    inference(rat,[],[s365,s161,s162,s163]) ).

cnf(s447,plain,
    ( spl0_31
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s260,s240,s137,s138,s139,s42,s345,s190,s15,s30,s145,s146,s147,s222,s45,s24,s441,s47,s288,s93,s17,s446,s44,s363,s442,s445,s95,s94,s352,s109,s110,s111,s444,s96,s1]) ).

cnf(s448,plain,
    ( spl0_10
    | ~ spl0_34 ),
    inference(rat,[],[s185,s89,s90,s91]) ).

cnf(s449,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_139
    | spl0_140
    | ~ spl0_45
    | spl0_44
    | ~ spl0_20 ),
    inference(rat,[],[s286,s14,s31,s389,s397,s430,s113,s114,s115]) ).

cnf(s450,plain,
    ( ~ spl0_13
    | ~ spl0_42 ),
    inference(rat,[],[s266,s117,s118,s119]) ).

cnf(s451,plain,
    ( ~ spl0_7
    | ~ spl0_49 ),
    inference(rat,[],[s342,s129,s130,s131]) ).

cnf(s452,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s388,s153,s154,s155,s3,s451,s192,s10,s449,s448,s39,s436,s447,s17,s446,s165,s166,s47,s44,s288,s363,s442,s445,s352,s109,s110,s111,s444,s93,s94,s95,s96,s1]) ).

cnf(s453,plain,
    ( ~ spl0_29
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s388,s153,s154,s155,s3,s451,s39,s436,s24,s368,s300,s53,s430,s397,s193,s31,s30,s363,s114,s115,s186,s27,s17,s450,s20,s223,s149,s150,s151,s152,s452,s95,s94,s93]) ).

cnf(s454,plain,
    ( spl0_5
    | spl0_29
    | spl0_1 ),
    inference(rat,[],[s44,s352,s424,s109,s110,s111,s208,s435,s10,s152,s452,s163,s162,s161,s446]) ).

cnf(s455,plain,
    ( ~ spl0_4
    | ~ spl0_53 ),
    inference(rat,[],[s352,s109,s110,s111]) ).

cnf(s456,plain,
    ( ~ spl0_16
    | spl0_44
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s436,s60,s24,s381,s367,s412,s284,s288,s26,s18,s442,s119,s118,s95,s93,s303,s137,s138,s139,s42,s347,s397,s31,s450,s20,s223,s149,s150,s151,s115,s114,s113,s454,s455,s44,s152,s452,s446,s453]) ).

cnf(s457,plain,
    ( spl0_16
    | spl0_22
    | spl0_29
    | ~ spl0_20 ),
    inference(rat,[],[s438,s157,s158,s159,s51,s301,s105,s106,s107]) ).

cnf(s458,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s363,s456,s442,s457,s180,s113,s114,s115,s454,s453,s94,s95,s152,s452]) ).

cnf(s459,plain,
    ( spl0_18
    | ~ spl0_30 ),
    inference(rat,[],[s262,s65,s66,s67]) ).

cnf(s460,plain,
    ( ~ spl0_29
    | spl0_1 ),
    inference(rat,[],[s23,s368,s455,s300,s44,s53,s430,s389,s113,s114,s115,s193,s27,s17,s30,s459,s31,s423,s97,s98,s99,s21,s458,s450,s20,s223,s149,s150,s151,s152,s452]) ).

cnf(s461,plain,
    spl0_1,
    inference(rat,[],[s300,s54,s368,s366,s23,s351,s455,s44,s446,s161,s163,s460,s441,s46,s459,s31,s423,s97,s98,s99,s21,s458,s450,s20,s223,s149,s150,s151,s152,s452]) ).

cnf(s462,plain,
    spl0_20,
    inference(rat,[],[s128,s461]) ).

cnf(s463,plain,
    ~ spl0_111,
    inference(rat,[],[s127,s461]) ).

cnf(s464,plain,
    ~ spl0_110,
    inference(rat,[],[s126,s461]) ).

cnf(s465,plain,
    ~ spl0_109,
    inference(rat,[],[s125,s461]) ).

cnf(s466,plain,
    ~ spl0_60,
    inference(rat,[],[s382,s463,s464,s465]) ).

cnf(s468,plain,
    ( spl0_19
    | ~ spl0_30
    | ~ spl0_45 ),
    inference(rat,[],[s370,s294,s69,s71]) ).

cnf(s469,plain,
    ( ~ spl0_5
    | ~ spl0_30
    | ~ spl0_45 ),
    inference(rat,[],[s397,s430,s114,s115]) ).

cnf(s470,plain,
    ( ~ spl0_45
    | spl0_44
    | ~ spl0_29 ),
    inference(rat,[],[s330,s73,s74,s75,s58,s367,s284,s137,s138,s139,s42,s346,s205,s27,s469,s48,s468,s15,s436,s60,s293,s462,s466,s463,s465,s464]) ).

cnf(s471,plain,
    ( spl0_45
    | spl0_3 ),
    inference(rat,[],[s288,s60,s442,s436,s437,s59,s95,s93,s466,s462]) ).

cnf(s472,plain,
    ( spl0_55
    | spl0_3
    | ~ spl0_29 ),
    inference(rat,[],[s15,s468,s436,s48,s60,s327,s363,s470,s471,s95,s94,s462,s466]) ).

cnf(s473,plain,
    ( spl0_3
    | ~ spl0_29 ),
    inference(rat,[],[s15,s469,s436,s27,s55,s267,s427,s417,s472,s301,s105,s106,s107,s442,s363,s470,s471,s94,s95,s462]) ).

cnf(s474,plain,
    ~ spl0_48,
    inference(rat,[],[s415,s169,s170,s171,s56,s60,s466,s462]) ).

cnf(s478,plain,
    ~ spl0_31,
    inference(rat,[],[s436,s474]) ).

cnf(s479,plain,
    spl0_45,
    inference(rat,[],[s59,s466,s462,s478]) ).

cnf(s481,plain,
    ( ~ spl0_11
    | ~ spl0_39 ),
    inference(rat,[],[s333,s81,s82,s83]) ).

cnf(s484,plain,
    ( ~ spl0_39
    | ~ spl0_16
    | ~ spl0_3 ),
    inference(rat,[],[s18,s284,s303,s367,s137,s138,s139,s5,s481,s462]) ).

cnf(s485,plain,
    ( ~ spl0_16
    | ~ spl0_29 ),
    inference(rat,[],[s18,s330,s303,s73,s74,s75,s137,s138,s139,s58,s37,s484,s297,s101,s102,s103,s12,s182,s85,s86,s87,s8,s473,s459,s15,s462,s466,s478]) ).

cnf(s486,plain,
    ~ spl0_29,
    inference(rat,[],[s423,s97,s98,s99,s21,s409,s267,s105,s106,s485,s27,s469,s470,s15,s473,s462,s479,s478]) ).

cnf(s487,plain,
    $false,
    inference(rat,[],[s446,s479,s486]) ).

fof(f2180,plain,
    $false,
    inference(avatar_sat_refutation,[],[s487]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYN448+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Mon Sep 28 16:03:49 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.13  Running first-order model finding
% 0.08/0.13  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
% 0.08/0.18  % (3484986)Will run a generic schedule for satisfiability detection.
% 0.08/0.18  % (3484992)% WARNING: option uhcvi not known.
% 0.08/0.18  % (3484992)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3114017463:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.18  % (3484991)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1481441708_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.18  % (3484996)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3452970506:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.18  % (3484993)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2372199045:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.18  % (3484994)dis+10_1_sil=32000:sp=arity:random_seed=205074831:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.18  % (3484995)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=415660612:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.18  % (3484997)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=929885665:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.18  % Detected minimum model sizes of [1]
% 0.08/0.18  % Detected maximum model sizes of [29]
% 0.08/0.18  % TRYING [1]
% 0.08/0.18  % TRYING [2]
% 0.08/0.18  % TRYING [3]
% 0.08/0.18  % TRYING [4]
% 0.08/0.18  % (3484997) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3484986-3484997"...
% 0.08/0.18  % (3484997)...printing done.
% 0.08/0.18  % (3484997)Refutation found. Thanks to Tanya!
% 0.08/0.18  % SZS status Theorem for theBenchmark
% 0.08/0.18  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.18  % (3484997)------------------------------
% 0.08/0.18  % (3484997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.18  % (3484997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.18  % (3484997)CaDiCaL version: 2.1.3
% 0.08/0.18  % (3484997)Termination reason: Refutation
% 0.08/0.18  % (3484997)Time elapsed: 0.016 s
% 0.08/0.18  % (3484997)Peak memory usage: 13 MB
% 0.08/0.18  % (3484997)Instructions burned: 51 (million)
% 0.08/0.18  % (3484986)Success in time 0.048 s
% 0.08/0.18  % Vampire exiting
%------------------------------------------------------------------------------