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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN462+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 : n008.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 02:09:36 PM UTC 2026

% Result   : Theorem 0.20s 0.29s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :  133
% Syntax   : Number of formulae    :  954 (  10 unt; 132 def)
%            Number of atoms       : 6242 (   0 equ)
%            Maximal formula atoms :  593 (   6 avg)
%            Number of connectives : 8376 (3088   ~;3980   |; 915   &)
%                                         ( 132 <=>; 261  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   97 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  169 ( 168 usr; 165 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  635 (   0 sgn 635   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a267)
          & ~ c2_1(a267)
          & ~ c3_1(a267) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c3_1(a268)
          & ~ c1_1(a268)
          & ~ c2_1(a268) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a269)
          & ~ c1_1(a269)
          & ~ c2_1(a269) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a270)
          & c3_1(a270)
          & ~ c2_1(a270) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a271)
          & ~ c1_1(a271)
          & ~ c3_1(a271) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a272)
          & ~ c1_1(a272)
          & ~ c3_1(a272) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a273)
          & c2_1(a273)
          & ~ c0_1(a273) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a274)
          & c1_1(a274)
          & ~ c3_1(a274) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c0_1(a275)
          & ~ c2_1(a275)
          & ~ c3_1(a275) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a280)
          & c3_1(a280)
          & ~ c1_1(a280) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c3_1(a281)
          & ~ c0_1(a281)
          & ~ c2_1(a281) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a282)
          & ~ c0_1(a282)
          & ~ c1_1(a282) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c2_1(a284)
          & ~ c0_1(a284)
          & ~ c3_1(a284) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a286)
          & c3_1(a286)
          & ~ c0_1(a286) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a287)
          & ~ c0_1(a287)
          & ~ c2_1(a287) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a291)
          & c3_1(a291)
          & ~ c0_1(a291) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a293)
          & c1_1(a293)
          & ~ c2_1(a293) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a295)
          & ~ c0_1(a295)
          & ~ c1_1(a295) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a298)
          & c3_1(a298)
          & ~ c2_1(a298) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a303)
          & c2_1(a303)
          & ~ c3_1(a303) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a305)
          & ~ c0_1(a305)
          & ~ c3_1(a305) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a307)
          & c2_1(a307)
          & ~ c1_1(a307) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a311)
          & c2_1(a311)
          & ~ c3_1(a311) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c1_1(a313)
          & ~ c2_1(a313)
          & ~ c3_1(a313) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c2_1(a318)
          & ~ c1_1(a318)
          & ~ c3_1(a318) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a352)
          & ~ c2_1(a352)
          & ~ c3_1(a352) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c0_1(a356)
          & ~ c1_1(a356)
          & ~ c2_1(a356) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a276)
          & c2_1(a276)
          & c3_1(a276) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a278)
          & c1_1(a278)
          & c3_1(a278) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a304)
          & c1_1(a304)
          & c2_1(a304) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a337)
          & c2_1(a337)
          & c3_1(a337) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c2_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | ~ c0_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c2_1(X4)
              | ~ c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c3_1(X5)
              | ~ c2_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | hskp0
        | hskp1 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c2_1(X8)
              | c3_1(X8) ) )
        | hskp2 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c3_1(X10) ) )
        | hskp3 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | ~ c1_1(X12)
              | ~ c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | ~ c0_1(X13)
              | ~ c1_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c3_1(X15)
              | ~ c0_1(X15) ) )
        | hskp4 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c2_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c2_1(X17)
              | c3_1(X17)
              | ~ c0_1(X17) ) )
        | hskp5 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c0_1(X19)
              | ~ c1_1(X19)
              | ~ c2_1(X19) ) )
        | hskp6 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c3_1(X20) ) )
        | hskp7
        | hskp8 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | hskp27
        | hskp1 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c3_1(X23)
              | ~ c2_1(X23) ) )
        | hskp28 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | ~ c1_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | ~ c2_1(X25)
              | ~ c3_1(X25) ) )
        | hskp27 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c1_1(X26) ) )
        | hskp9 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | ~ c1_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c0_1(X29)
              | ~ c1_1(X29)
              | ~ c3_1(X29) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | ~ c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | ~ c2_1(X31)
              | ~ c3_1(X31) ) )
        | hskp10 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c1_1(X33)
              | ~ c3_1(X33) ) )
        | hskp11 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c3_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | ~ c0_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | ~ c0_1(X36)
              | ~ c1_1(X36) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c3_1(X37)
              | ~ c2_1(X37) ) )
        | hskp7
        | hskp12 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c3_1(X38)
              | ~ c2_1(X38) ) )
        | hskp6
        | hskp13 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c3_1(X39)
              | ~ c2_1(X39) ) )
        | hskp14 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c3_1(X40)
              | ~ c2_1(X40) ) )
        | hskp1
        | hskp4 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | ~ c1_1(X41)
              | ~ c2_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | c3_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | ~ c0_1(X43)
              | ~ c2_1(X43) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | ~ c1_1(X44)
              | ~ c2_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c2_1(X45)
              | ~ c3_1(X45) ) )
        | hskp6 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | ~ c1_1(X46)
              | ~ c2_1(X46) ) )
        | hskp15
        | hskp12 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c1_1(X47)
              | ~ c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | ~ c0_1(X48)
              | ~ c3_1(X48) ) )
        | hskp16 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c3_1(X49) ) )
        | hskp0
        | hskp17 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c2_1(X50)
              | c3_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | ~ c0_1(X51)
              | ~ c2_1(X51) ) )
        | hskp7 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c2_1(X52)
              | ~ c0_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c3_1(X53)
              | ~ c0_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | c3_1(X54)
              | ~ c1_1(X54) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c2_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) )
        | hskp7 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) )
        | hskp18 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | ~ c0_1(X60)
              | ~ c1_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp0
        | hskp10 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp8 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c3_1(X64)
              | ~ c0_1(X64) ) )
        | hskp27
        | hskp19 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c0_1(X65)
              | ~ c2_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c0_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | ~ c0_1(X68)
              | ~ c2_1(X68) ) )
        | hskp29
        | hskp20 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | ~ c0_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c3_1(X70)
              | ~ c0_1(X70) ) )
        | hskp1 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | ~ c1_1(X72)
              | ~ c2_1(X72) ) )
        | hskp21 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | ~ c0_1(X74)
              | ~ c1_1(X74) ) )
        | hskp8 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | ~ c2_1(X75)
              | ~ c3_1(X75) ) )
        | hskp29
        | hskp5 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp22
        | hskp0 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | ~ c1_1(X77)
              | ~ c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | ~ c1_1(X78)
              | ~ c3_1(X78) ) )
        | hskp23 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c3_1(X79)
              | ~ c0_1(X79)
              | ~ c1_1(X79) ) )
        | hskp28
        | hskp23 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c3_1(X80)
              | ~ c0_1(X80)
              | ~ c2_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | ~ c1_1(X81)
              | ~ c2_1(X81) ) )
        | hskp0 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | ~ c0_1(X82)
              | ~ c2_1(X82) ) )
        | hskp21
        | hskp24 )
      & ( ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c1_1(X83)
              | ~ c2_1(X83) ) )
        | hskp3
        | hskp4 )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | ~ c1_1(X84)
              | ~ c3_1(X84) ) )
        | hskp7
        | hskp19 )
      & ( ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c2_1(X85)
              | ~ c3_1(X85) ) )
        | hskp7
        | hskp8 )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp19
        | hskp20 )
      & ( hskp29
        | hskp22
        | hskp11 )
      & ( hskp29
        | hskp9
        | hskp11 )
      & ( hskp16
        | hskp7
        | hskp18 )
      & ( hskp16
        | hskp30
        | hskp5 )
      & ( hskp30
        | hskp14
        | hskp17 )
      & ( hskp21
        | hskp10
        | hskp23 )
      & ( hskp22
        | hskp6
        | hskp9 )
      & ( hskp0
        | hskp19
        | hskp9 )
      & ( hskp14
        | hskp25
        | hskp12 )
      & ( hskp12
        | hskp1
        | hskp26 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a267)
            & ~ c2_1(a267)
            & ~ c3_1(a267) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c3_1(a268)
            & ~ c1_1(a268)
            & ~ c2_1(a268) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a269)
            & ~ c1_1(a269)
            & ~ c2_1(a269) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a270)
            & c3_1(a270)
            & ~ c2_1(a270) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a271)
            & ~ c1_1(a271)
            & ~ c3_1(a271) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a272)
            & ~ c1_1(a272)
            & ~ c3_1(a272) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a273)
            & c2_1(a273)
            & ~ c0_1(a273) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a274)
            & c1_1(a274)
            & ~ c3_1(a274) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c0_1(a275)
            & ~ c2_1(a275)
            & ~ c3_1(a275) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a280)
            & c3_1(a280)
            & ~ c1_1(a280) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c3_1(a281)
            & ~ c0_1(a281)
            & ~ c2_1(a281) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a282)
            & ~ c0_1(a282)
            & ~ c1_1(a282) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a284)
            & ~ c0_1(a284)
            & ~ c3_1(a284) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a286)
            & c3_1(a286)
            & ~ c0_1(a286) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a287)
            & ~ c0_1(a287)
            & ~ c2_1(a287) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a291)
            & c3_1(a291)
            & ~ c0_1(a291) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a293)
            & c1_1(a293)
            & ~ c2_1(a293) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a295)
            & ~ c0_1(a295)
            & ~ c1_1(a295) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a298)
            & c3_1(a298)
            & ~ c2_1(a298) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a303)
            & c2_1(a303)
            & ~ c3_1(a303) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a305)
            & ~ c0_1(a305)
            & ~ c3_1(a305) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a307)
            & c2_1(a307)
            & ~ c1_1(a307) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a311)
            & c2_1(a311)
            & ~ c3_1(a311) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c1_1(a313)
            & ~ c2_1(a313)
            & ~ c3_1(a313) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c2_1(a318)
            & ~ c1_1(a318)
            & ~ c3_1(a318) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a352)
            & ~ c2_1(a352)
            & ~ c3_1(a352) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c0_1(a356)
            & ~ c1_1(a356)
            & ~ c2_1(a356) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a276)
            & c2_1(a276)
            & c3_1(a276) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a278)
            & c1_1(a278)
            & c3_1(a278) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a304)
            & c1_1(a304)
            & c2_1(a304) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a337)
            & c2_1(a337)
            & c3_1(a337) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c2_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | ~ c0_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c2_1(X4)
                | ~ c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c3_1(X5)
                | ~ c2_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | hskp0
          | hskp1 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c2_1(X8)
                | c3_1(X8) ) )
          | hskp2 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c3_1(X10) ) )
          | hskp3 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | ~ c0_1(X13)
                | ~ c1_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c3_1(X15)
                | ~ c0_1(X15) ) )
          | hskp4 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | c3_1(X17)
                | ~ c0_1(X17) ) )
          | hskp5 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | ~ c1_1(X19)
                | ~ c2_1(X19) ) )
          | hskp6 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c3_1(X20) ) )
          | hskp7
          | hskp8 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | hskp27
          | hskp1 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c3_1(X23)
                | ~ c2_1(X23) ) )
          | hskp28 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c2_1(X25)
                | ~ c3_1(X25) ) )
          | hskp27 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c1_1(X26) ) )
          | hskp9 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | ~ c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | ~ c1_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | ~ c2_1(X31)
                | ~ c3_1(X31) ) )
          | hskp10 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c1_1(X33)
                | ~ c3_1(X33) ) )
          | hskp11 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c3_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | ~ c0_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | ~ c0_1(X36)
                | ~ c1_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c3_1(X37)
                | ~ c2_1(X37) ) )
          | hskp7
          | hskp12 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | ~ c2_1(X38) ) )
          | hskp6
          | hskp13 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c3_1(X39)
                | ~ c2_1(X39) ) )
          | hskp14 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c3_1(X40)
                | ~ c2_1(X40) ) )
          | hskp1
          | hskp4 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | c3_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c0_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c1_1(X44)
                | ~ c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c2_1(X45)
                | ~ c3_1(X45) ) )
          | hskp6 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c1_1(X46)
                | ~ c2_1(X46) ) )
          | hskp15
          | hskp12 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | ~ c0_1(X48)
                | ~ c3_1(X48) ) )
          | hskp16 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c3_1(X49) ) )
          | hskp0
          | hskp17 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | c3_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c0_1(X51)
                | ~ c2_1(X51) ) )
          | hskp7 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c2_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c0_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c2_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | hskp7 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | hskp18 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c0_1(X60)
                | ~ c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp0
          | hskp10 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp8 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c3_1(X64)
                | ~ c0_1(X64) ) )
          | hskp27
          | hskp19 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c0_1(X65)
                | ~ c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c0_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c0_1(X68)
                | ~ c2_1(X68) ) )
          | hskp29
          | hskp20 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c0_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c3_1(X70)
                | ~ c0_1(X70) ) )
          | hskp1 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | ~ c1_1(X72)
                | ~ c2_1(X72) ) )
          | hskp21 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c0_1(X74)
                | ~ c1_1(X74) ) )
          | hskp8 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | ~ c2_1(X75)
                | ~ c3_1(X75) ) )
          | hskp29
          | hskp5 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp22
          | hskp0 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | ~ c1_1(X78)
                | ~ c3_1(X78) ) )
          | hskp23 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | ~ c0_1(X79)
                | ~ c1_1(X79) ) )
          | hskp28
          | hskp23 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | ~ c0_1(X80)
                | ~ c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c1_1(X81)
                | ~ c2_1(X81) ) )
          | hskp0 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c0_1(X82)
                | ~ c2_1(X82) ) )
          | hskp21
          | hskp24 )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c1_1(X83)
                | ~ c2_1(X83) ) )
          | hskp3
          | hskp4 )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c1_1(X84)
                | ~ c3_1(X84) ) )
          | hskp7
          | hskp19 )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c2_1(X85)
                | ~ c3_1(X85) ) )
          | hskp7
          | hskp8 )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp19
          | hskp20 )
        & ( hskp29
          | hskp22
          | hskp11 )
        & ( hskp29
          | hskp9
          | hskp11 )
        & ( hskp16
          | hskp7
          | hskp18 )
        & ( hskp16
          | hskp30
          | hskp5 )
        & ( hskp30
          | hskp14
          | hskp17 )
        & ( hskp21
          | hskp10
          | hskp23 )
        & ( hskp22
          | hskp6
          | hskp9 )
        & ( hskp0
          | hskp19
          | hskp9 )
        & ( hskp14
          | hskp25
          | hskp12 )
        & ( hskp12
          | hskp1
          | hskp26 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a267)
        & ~ c2_1(a267)
        & ~ c3_1(a267) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c3_1(a268)
        & ~ c1_1(a268)
        & ~ c2_1(a268) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a269)
        & ~ c1_1(a269)
        & ~ c2_1(a269) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a270)
        & c3_1(a270)
        & ~ c2_1(a270) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a271)
        & ~ c1_1(a271)
        & ~ c3_1(a271) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a272)
        & ~ c1_1(a272)
        & ~ c3_1(a272) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a273)
        & c2_1(a273)
        & ~ c0_1(a273) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a274)
        & c1_1(a274)
        & ~ c3_1(a274) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a275)
        & ~ c2_1(a275)
        & ~ c3_1(a275) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a280)
        & c3_1(a280)
        & ~ c1_1(a280) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a281)
        & ~ c0_1(a281)
        & ~ c2_1(a281) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a282)
        & ~ c0_1(a282)
        & ~ c1_1(a282) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a284)
        & ~ c0_1(a284)
        & ~ c3_1(a284) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a286)
        & c3_1(a286)
        & ~ c0_1(a286) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a287)
        & ~ c0_1(a287)
        & ~ c2_1(a287) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a291)
        & c3_1(a291)
        & ~ c0_1(a291) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a293)
        & c1_1(a293)
        & ~ c2_1(a293) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a295)
        & ~ c0_1(a295)
        & ~ c1_1(a295) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a298)
        & c3_1(a298)
        & ~ c2_1(a298) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a303)
        & c2_1(a303)
        & ~ c3_1(a303) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a305)
        & ~ c0_1(a305)
        & ~ c3_1(a305) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a307)
        & c2_1(a307)
        & ~ c1_1(a307) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a311)
        & c2_1(a311)
        & ~ c3_1(a311) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c1_1(a313)
        & ~ c2_1(a313)
        & ~ c3_1(a313) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c2_1(a318)
        & ~ c1_1(a318)
        & ~ c3_1(a318) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a352)
        & ~ c2_1(a352)
        & ~ c3_1(a352) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a356)
        & ~ c1_1(a356)
        & ~ c2_1(a356) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a276)
        & c2_1(a276)
        & c3_1(a276) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a278)
        & c1_1(a278)
        & c3_1(a278) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a304)
        & c1_1(a304)
        & c2_1(a304) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a337)
        & c2_1(a337)
        & c3_1(a337) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c2_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | ~ c0_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | c2_1(X4)
            | ~ c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | c3_1(X5)
            | ~ c2_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | hskp0
      | hskp1 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c2_1(X8)
            | c3_1(X8) ) )
      | hskp2 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | ~ c3_1(X10) ) )
      | hskp3 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | ~ c1_1(X12)
            | ~ c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c2_1(X13)
            | ~ c0_1(X13)
            | ~ c1_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | c3_1(X15)
            | ~ c0_1(X15) ) )
      | hskp4 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | c3_1(X17)
            | ~ c0_1(X17) ) )
      | hskp5 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | ~ c1_1(X19)
            | ~ c2_1(X19) ) )
      | hskp6 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c3_1(X20) ) )
      | hskp7
      | hskp8 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | hskp27
      | hskp1 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c2_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c3_1(X23)
            | ~ c2_1(X23) ) )
      | hskp28 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | ~ c1_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | ~ c2_1(X25)
            | ~ c3_1(X25) ) )
      | hskp27 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | ~ c1_1(X26) ) )
      | hskp9 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | ~ c1_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | ~ c1_1(X29)
            | ~ c3_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | ~ c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | ~ c2_1(X31)
            | ~ c3_1(X31) ) )
      | hskp10 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | ~ c1_1(X33)
            | ~ c3_1(X33) ) )
      | hskp11 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c3_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | ~ c0_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c3_1(X36)
            | ~ c0_1(X36)
            | ~ c1_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c3_1(X37)
            | ~ c2_1(X37) ) )
      | hskp7
      | hskp12 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c3_1(X38)
            | ~ c2_1(X38) ) )
      | hskp6
      | hskp13 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c3_1(X39)
            | ~ c2_1(X39) ) )
      | hskp14 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c3_1(X40)
            | ~ c2_1(X40) ) )
      | hskp1
      | hskp4 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | ~ c1_1(X41)
            | ~ c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | c3_1(X42)
            | ~ c0_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | ~ c0_1(X43)
            | ~ c2_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | ~ c1_1(X44)
            | ~ c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | ~ c2_1(X45)
            | ~ c3_1(X45) ) )
      | hskp6 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | ~ c1_1(X46)
            | ~ c2_1(X46) ) )
      | hskp15
      | hskp12 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c1_1(X47)
            | ~ c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | ~ c0_1(X48)
            | ~ c3_1(X48) ) )
      | hskp16 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c3_1(X49) ) )
      | hskp0
      | hskp17 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c2_1(X50)
            | c3_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | ~ c0_1(X51)
            | ~ c2_1(X51) ) )
      | hskp7 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c2_1(X52)
            | ~ c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c3_1(X53)
            | ~ c0_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c3_1(X54)
            | ~ c1_1(X54) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c2_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) )
      | hskp7 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c2_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | ~ c1_1(X58)
            | ~ c2_1(X58) ) )
      | hskp18 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c2_1(X59)
            | ~ c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | ~ c0_1(X60)
            | ~ c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | ~ c1_1(X61)
            | ~ c2_1(X61) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c2_1(X62)
            | ~ c3_1(X62) ) )
      | hskp0
      | hskp10 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp8 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c3_1(X64)
            | ~ c0_1(X64) ) )
      | hskp27
      | hskp19 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c0_1(X65)
            | ~ c2_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | ~ c0_1(X66)
            | ~ c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | ~ c0_1(X68)
            | ~ c2_1(X68) ) )
      | hskp29
      | hskp20 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | ~ c0_1(X69)
            | ~ c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | c3_1(X70)
            | ~ c0_1(X70) ) )
      | hskp1 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | ~ c0_1(X71)
            | ~ c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | ~ c1_1(X72)
            | ~ c2_1(X72) ) )
      | hskp21 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c2_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c0_1(X74)
            | ~ c1_1(X74) ) )
      | hskp8 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | ~ c2_1(X75)
            | ~ c3_1(X75) ) )
      | hskp29
      | hskp5 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | hskp22
      | hskp0 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | ~ c1_1(X77)
            | ~ c3_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | ~ c1_1(X78)
            | ~ c3_1(X78) ) )
      | hskp23 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | ~ c0_1(X79)
            | ~ c1_1(X79) ) )
      | hskp28
      | hskp23 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | ~ c0_1(X80)
            | ~ c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | ~ c1_1(X81)
            | ~ c2_1(X81) ) )
      | hskp0 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | ~ c0_1(X82)
            | ~ c2_1(X82) ) )
      | hskp21
      | hskp24 )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | ~ c1_1(X83)
            | ~ c2_1(X83) ) )
      | hskp3
      | hskp4 )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | ~ c1_1(X84)
            | ~ c3_1(X84) ) )
      | hskp7
      | hskp19 )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c2_1(X85)
            | ~ c3_1(X85) ) )
      | hskp7
      | hskp8 )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c2_1(X86)
            | ~ c3_1(X86) ) )
      | hskp19
      | hskp20 )
    & ( hskp29
      | hskp22
      | hskp11 )
    & ( hskp29
      | hskp9
      | hskp11 )
    & ( hskp16
      | hskp7
      | hskp18 )
    & ( hskp16
      | hskp30
      | hskp5 )
    & ( hskp30
      | hskp14
      | hskp17 )
    & ( hskp21
      | hskp10
      | hskp23 )
    & ( hskp22
      | hskp6
      | hskp9 )
    & ( hskp0
      | hskp19
      | hskp9 )
    & ( hskp14
      | hskp25
      | hskp12 )
    & ( hskp12
      | hskp1
      | hskp26 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a267)
        & ~ c2_1(a267)
        & ~ c3_1(a267) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c3_1(a268)
        & ~ c1_1(a268)
        & ~ c2_1(a268) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a269)
        & ~ c1_1(a269)
        & ~ c2_1(a269) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a270)
        & c3_1(a270)
        & ~ c2_1(a270) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a271)
        & ~ c1_1(a271)
        & ~ c3_1(a271) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a272)
        & ~ c1_1(a272)
        & ~ c3_1(a272) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a273)
        & c2_1(a273)
        & ~ c0_1(a273) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a274)
        & c1_1(a274)
        & ~ c3_1(a274) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a275)
        & ~ c2_1(a275)
        & ~ c3_1(a275) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a280)
        & c3_1(a280)
        & ~ c1_1(a280) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a281)
        & ~ c0_1(a281)
        & ~ c2_1(a281) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a282)
        & ~ c0_1(a282)
        & ~ c1_1(a282) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a284)
        & ~ c0_1(a284)
        & ~ c3_1(a284) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a286)
        & c3_1(a286)
        & ~ c0_1(a286) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a287)
        & ~ c0_1(a287)
        & ~ c2_1(a287) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a291)
        & c3_1(a291)
        & ~ c0_1(a291) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a293)
        & c1_1(a293)
        & ~ c2_1(a293) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a295)
        & ~ c0_1(a295)
        & ~ c1_1(a295) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a298)
        & c3_1(a298)
        & ~ c2_1(a298) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a303)
        & c2_1(a303)
        & ~ c3_1(a303) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a305)
        & ~ c0_1(a305)
        & ~ c3_1(a305) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a307)
        & c2_1(a307)
        & ~ c1_1(a307) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a311)
        & c2_1(a311)
        & ~ c3_1(a311) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c1_1(a313)
        & ~ c2_1(a313)
        & ~ c3_1(a313) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c2_1(a318)
        & ~ c1_1(a318)
        & ~ c3_1(a318) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a352)
        & ~ c2_1(a352)
        & ~ c3_1(a352) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a356)
        & ~ c1_1(a356)
        & ~ c2_1(a356) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a276)
        & c2_1(a276)
        & c3_1(a276) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a278)
        & c1_1(a278)
        & c3_1(a278) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a304)
        & c1_1(a304)
        & c2_1(a304) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a337)
        & c2_1(a337)
        & c3_1(a337) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c3_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c2_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp27
      | hskp1 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | ~ c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | ~ c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c3_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | ~ c0_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp7
      | hskp12 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp6
      | hskp13 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c3_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | hskp1
      | hskp4 )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | c3_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | ~ c1_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X46] :
          ( c0_1(X46)
          | ~ c1_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp15
      | hskp12 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp0
      | hskp17 )
    & ( ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c0_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp0
      | hskp10 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c3_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c1_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | hskp29
      | hskp20 )
    & ( ! [X69] :
          ( c1_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X71] :
          ( c1_1(X71)
          | ~ c0_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X73] :
          ( c1_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X75] :
          ( c1_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X76] :
          ( c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp22
      | hskp0 )
    & ( ! [X77] :
          ( c2_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X79] :
          ( c3_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | hskp28
      | hskp23 )
    & ( ! [X80] :
          ( c3_1(X80)
          | ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | hskp21
      | hskp24 )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X84] :
          ( ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp7
      | hskp19 )
    & ( ! [X85] :
          ( ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( hskp29
      | hskp22
      | hskp11 )
    & ( hskp29
      | hskp9
      | hskp11 )
    & ( hskp16
      | hskp7
      | hskp18 )
    & ( hskp16
      | hskp30
      | hskp5 )
    & ( hskp30
      | hskp14
      | hskp17 )
    & ( hskp21
      | hskp10
      | hskp23 )
    & ( hskp22
      | hskp6
      | hskp9 )
    & ( hskp0
      | hskp19
      | hskp9 )
    & ( hskp14
      | hskp25
      | hskp12 )
    & ( hskp12
      | hskp1
      | hskp26 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a267)
        & ~ c2_1(a267)
        & ~ c3_1(a267) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c3_1(a268)
        & ~ c1_1(a268)
        & ~ c2_1(a268) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a269)
        & ~ c1_1(a269)
        & ~ c2_1(a269) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a270)
        & c3_1(a270)
        & ~ c2_1(a270) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a271)
        & ~ c1_1(a271)
        & ~ c3_1(a271) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a272)
        & ~ c1_1(a272)
        & ~ c3_1(a272) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a273)
        & c2_1(a273)
        & ~ c0_1(a273) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a274)
        & c1_1(a274)
        & ~ c3_1(a274) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a275)
        & ~ c2_1(a275)
        & ~ c3_1(a275) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a280)
        & c3_1(a280)
        & ~ c1_1(a280) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a281)
        & ~ c0_1(a281)
        & ~ c2_1(a281) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a282)
        & ~ c0_1(a282)
        & ~ c1_1(a282) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a284)
        & ~ c0_1(a284)
        & ~ c3_1(a284) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a286)
        & c3_1(a286)
        & ~ c0_1(a286) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a287)
        & ~ c0_1(a287)
        & ~ c2_1(a287) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a291)
        & c3_1(a291)
        & ~ c0_1(a291) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a293)
        & c1_1(a293)
        & ~ c2_1(a293) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a295)
        & ~ c0_1(a295)
        & ~ c1_1(a295) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a298)
        & c3_1(a298)
        & ~ c2_1(a298) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a303)
        & c2_1(a303)
        & ~ c3_1(a303) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a305)
        & ~ c0_1(a305)
        & ~ c3_1(a305) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a307)
        & c2_1(a307)
        & ~ c1_1(a307) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a311)
        & c2_1(a311)
        & ~ c3_1(a311) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c1_1(a313)
        & ~ c2_1(a313)
        & ~ c3_1(a313) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c2_1(a318)
        & ~ c1_1(a318)
        & ~ c3_1(a318) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a352)
        & ~ c2_1(a352)
        & ~ c3_1(a352) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a356)
        & ~ c1_1(a356)
        & ~ c2_1(a356) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a276)
        & c2_1(a276)
        & c3_1(a276) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a278)
        & c1_1(a278)
        & c3_1(a278) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a304)
        & c1_1(a304)
        & c2_1(a304) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a337)
        & c2_1(a337)
        & c3_1(a337) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c3_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | c2_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp27
      | hskp1 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | ~ c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | ~ c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | ~ c2_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c3_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | ~ c0_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp7
      | hskp12 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp6
      | hskp13 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c3_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | hskp1
      | hskp4 )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | c3_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | ~ c1_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X46] :
          ( c0_1(X46)
          | ~ c1_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp15
      | hskp12 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp0
      | hskp17 )
    & ( ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c0_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp0
      | hskp10 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c3_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c1_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | hskp29
      | hskp20 )
    & ( ! [X69] :
          ( c1_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X71] :
          ( c1_1(X71)
          | ~ c0_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X73] :
          ( c1_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X75] :
          ( c1_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X76] :
          ( c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp22
      | hskp0 )
    & ( ! [X77] :
          ( c2_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X79] :
          ( c3_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | hskp28
      | hskp23 )
    & ( ! [X80] :
          ( c3_1(X80)
          | ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | hskp21
      | hskp24 )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X84] :
          ( ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp7
      | hskp19 )
    & ( ! [X85] :
          ( ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( hskp29
      | hskp22
      | hskp11 )
    & ( hskp29
      | hskp9
      | hskp11 )
    & ( hskp16
      | hskp7
      | hskp18 )
    & ( hskp16
      | hskp30
      | hskp5 )
    & ( hskp30
      | hskp14
      | hskp17 )
    & ( hskp21
      | hskp10
      | hskp23 )
    & ( hskp22
      | hskp6
      | hskp9 )
    & ( hskp0
      | hskp19
      | hskp9 )
    & ( hskp14
      | hskp25
      | hskp12 )
    & ( hskp12
      | hskp1
      | hskp26 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp12
    | hskp1
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp14
    | hskp25
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp0
    | hskp19
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp22
    | hskp6
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X86] :
      ( ~ c1_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X84] :
      ( ~ c0_1(X84)
      | ~ c1_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | hskp7
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X83] :
      ( ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | hskp3
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X80,X81] :
      ( c3_1(X80)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X78,X77] :
      ( c2_1(X77)
      | ~ c1_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | ~ c0_1(X78)
      | ~ c1_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X76] :
      ( c1_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp22
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c2_1(X70)
      | c3_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X68] :
      ( c1_1(X68)
      | ~ c0_1(X68)
      | ~ c2_1(X68)
      | ~ ndr1_0
      | hskp29
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X65,X66,X67] :
      ( c1_1(X65)
      | ~ c0_1(X65)
      | ~ c2_1(X65)
      | ~ ndr1_0
      | c1_1(X66)
      | ~ c0_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X64] :
      ( c1_1(X64)
      | c3_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | hskp27
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X63] :
      ( c1_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X59,X60,X61] :
      ( c1_1(X59)
      | c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | c3_1(X61)
      | ~ c1_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X58,X57] :
      ( c1_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | ~ c0_1(X58)
      | ~ c1_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X56,X55] :
      ( c1_1(X55)
      | c2_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | ~ c1_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X54,X52,X53] :
      ( c1_1(X52)
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | c2_1(X53)
      | c3_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c3_1(X54)
      | ~ c1_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X46] :
      ( c0_1(X46)
      | ~ c1_1(X46)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | hskp15
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | ~ c1_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | ~ c1_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | c3_1(X42)
      | ~ c0_1(X42)
      | ~ ndr1_0
      | c3_1(X43)
      | ~ c0_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X40] :
      ( c0_1(X40)
      | c3_1(X40)
      | ~ c2_1(X40)
      | ~ ndr1_0
      | hskp1
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X39] :
      ( c0_1(X39)
      | c3_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X36,X34,X35] :
      ( c0_1(X34)
      | c3_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | ~ c0_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | c3_1(X36)
      | ~ c0_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X28,X29,X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | ~ c1_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X26] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | ~ c1_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c2_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | c0_1(X23)
      | c3_1(X23)
      | ~ c2_1(X23)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X21] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | hskp27
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | ~ c0_1(X19)
      | ~ c1_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0
      | c2_1(X17)
      | c3_1(X17)
      | ~ c0_1(X17)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | c1_1(X15)
      | c3_1(X15)
      | ~ c0_1(X15)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ c1_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | c1_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c0_1(X8)
      | c2_1(X8)
      | c3_1(X8)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp29
    | c2_1(a304) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp29
    | c1_1(a304) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp29
    | c0_1(a304) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp28
    | c3_1(a278) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp28
    | c0_1(a278) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp27
    | c3_1(a276) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp27
    | c2_1(a276) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp27
    | c1_1(a276) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp26
    | ~ c1_1(a356) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp26
    | ~ c0_1(a356) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp25
    | ~ c3_1(a352) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp25
    | ~ c2_1(a352) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp25
    | c1_1(a352) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp23
    | ~ c3_1(a313) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp23
    | ~ c2_1(a313) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp23
    | ~ c1_1(a313) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp22
    | ~ c3_1(a311) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp22
    | c2_1(a311) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp22
    | c0_1(a311) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp20
    | ~ c3_1(a305) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp20
    | ~ c0_1(a305) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp20
    | c1_1(a305) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp19
    | ~ c3_1(a303) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp19
    | c2_1(a303) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp19
    | c1_1(a303) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp18
    | ~ c2_1(a298) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp18
    | c3_1(a298) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp18
    | c1_1(a298) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp16
    | ~ c2_1(a293) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp16
    | c1_1(a293) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp16
    | c0_1(a293) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp15
    | ~ c0_1(a291) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp15
    | c2_1(a291) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp14
    | ~ c2_1(a287) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp14
    | ~ c0_1(a287) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp14
    | c1_1(a287) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp12
    | ~ c3_1(a284) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp12
    | ~ c0_1(a284) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp12
    | c2_1(a284) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp11
    | ~ c1_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp11
    | ~ c0_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp11
    | c2_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp9
    | ~ c1_1(a280) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp9
    | c3_1(a280) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp9
    | c2_1(a280) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp8
    | ~ c3_1(a275) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp8
    | ~ c2_1(a275) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp8
    | ~ c0_1(a275) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp7
    | ~ c3_1(a274) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp7
    | c1_1(a274) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp7
    | c0_1(a274) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp6
    | c2_1(a273) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp6
    | c1_1(a273) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp5
    | ~ c3_1(a272) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp5
    | ~ c1_1(a272) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp5
    | c0_1(a272) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp4
    | ~ c3_1(a271) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp4
    | ~ c1_1(a271) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp4
    | ~ c0_1(a271) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp3
    | ~ c2_1(a270) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp3
    | c3_1(a270) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp3
    | c0_1(a270) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp2
    | ~ c2_1(a269) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp2
    | ~ c1_1(a269) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp2
    | c0_1(a269) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp1
    | ~ c2_1(a268) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp1
    | ~ c1_1(a268) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp1
    | c3_1(a268) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f185,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp0
    | ~ c3_1(a267) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp0
    | ~ c2_1(a267) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp0
    | c0_1(a267) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ! [X80,X81] :
      ( c3_1(X80)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ c2_1(X81)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f191,plain,
    ! [X78,X77] :
      ( c2_1(X77)
      | ~ c1_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | ~ c0_1(X78)
      | ~ c1_1(X78)
      | ~ c3_1(X78)
      | hskp23 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f192,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f194,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c2_1(X70)
      | c3_1(X70)
      | ~ c0_1(X70)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f195,plain,
    ! [X65,X66,X67] :
      ( c1_1(X65)
      | ~ c0_1(X65)
      | ~ c2_1(X65)
      | ~ ndr1_0
      | c1_1(X66)
      | ~ c0_1(X66)
      | ~ c3_1(X66)
      | ~ c1_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67) ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f196,plain,
    ! [X59,X60,X61] :
      ( c1_1(X59)
      | c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | c3_1(X61)
      | ~ c1_1(X61)
      | ~ c2_1(X61) ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f197,plain,
    ! [X58,X57] :
      ( c1_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | ~ c0_1(X58)
      | ~ c1_1(X58)
      | ~ c2_1(X58)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f198,plain,
    ! [X56,X55] :
      ( c1_1(X55)
      | c2_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | ~ c1_1(X56)
      | ~ c3_1(X56)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f199,plain,
    ! [X54,X52,X53] :
      ( c1_1(X52)
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | c2_1(X53)
      | c3_1(X53)
      | ~ c0_1(X53)
      | c2_1(X54)
      | c3_1(X54)
      | ~ c1_1(X54) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f201,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f202,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | ~ c1_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f203,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | ~ c1_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | c3_1(X42)
      | ~ c0_1(X42)
      | c3_1(X43)
      | ~ c0_1(X43)
      | ~ c2_1(X43) ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f204,plain,
    ! [X36,X34,X35] :
      ( c0_1(X34)
      | c3_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | ~ c0_1(X35)
      | ~ c3_1(X35)
      | c3_1(X36)
      | ~ c0_1(X36)
      | ~ c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f205,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ c3_1(X33)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f207,plain,
    ! [X28,X29,X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | ~ c1_1(X28)
      | ~ c3_1(X28)
      | ~ c0_1(X29)
      | ~ c1_1(X29)
      | ~ c3_1(X29) ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f208,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c2_1(X24)
      | ~ c1_1(X24)
      | ~ ndr1_0
      | ~ c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | hskp27 ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f209,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c2_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | c0_1(X23)
      | c3_1(X23)
      | ~ c2_1(X23)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f210,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | ~ c0_1(X19)
      | ~ c1_1(X19)
      | ~ c2_1(X19)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f211,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0
      | c2_1(X17)
      | c3_1(X17)
      | ~ c0_1(X17)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f212,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | c1_1(X15)
      | c3_1(X15)
      | ~ c0_1(X15)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f213,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12)
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ c1_1(X13) ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f214,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | c1_1(X10)
      | ~ c3_1(X10)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f215,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c0_1(X8)
      | c2_1(X8)
      | c3_1(X8)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f219,definition,
    ( spl0_1
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f223,definition,
    ( spl0_2
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f227,definition,
    ( spl0_3
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f230,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f227,f223,f219]) ).

fof(f232,definition,
    ( spl0_4
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f236,definition,
    ( spl0_5
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f239,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f236,f232,f227]) ).

fof(f241,definition,
    ( spl0_6
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f245,definition,
    ( spl0_7
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f249,definition,
    ( spl0_8
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f252,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f249,f245,f241]) ).

fof(f254,definition,
    ( spl0_9
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f258,definition,
    ( spl0_10
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f261,plain,
    ( spl0_6
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f9,f258,f254,f241]) ).

fof(f263,definition,
    ( spl0_11
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f285,definition,
    ( spl0_16
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f289,definition,
    ( spl0_17
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f294,definition,
    ( spl0_18
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f298,definition,
    ( spl0_19
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f303,definition,
    ( spl0_20
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f307,definition,
    ( spl0_21
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f313,definition,
    ( spl0_22
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f317,definition,
    ( spl0_23
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f321,definition,
    ( spl0_24
  <=> ! [X86] :
        ( ~ c1_1(X86)
        | ~ c3_1(X86)
        | ~ c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f322,plain,
    ( ! [X86] :
        ( ~ c1_1(X86)
        | ~ c3_1(X86)
        | ~ c2_1(X86) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f323,plain,
    ( spl0_22
    | spl0_7
    | ~ spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f16,f321,f317,f245,f313]) ).

fof(f325,definition,
    ( spl0_25
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f330,definition,
    ( spl0_26
  <=> ! [X84] :
        ( ~ c0_1(X84)
        | ~ c3_1(X84)
        | ~ c1_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f331,plain,
    ( ! [X84] :
        ( ~ c0_1(X84)
        | ~ c3_1(X84)
        | ~ c1_1(X84) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f332,plain,
    ( spl0_7
    | spl0_19
    | ~ spl0_23
    | spl0_26 ),
    inference(avatar_split_clause,[],[f18,f330,f317,f298,f245]) ).

fof(f334,definition,
    ( spl0_27
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f338,definition,
    ( spl0_28
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f342,definition,
    ( spl0_29
  <=> ! [X83] :
        ( ~ c0_1(X83)
        | ~ c2_1(X83)
        | ~ c1_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X83] :
        ( ~ c1_1(X83)
        | ~ c2_1(X83)
        | ~ c0_1(X83) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f344,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_23
    | spl0_29 ),
    inference(avatar_split_clause,[],[f19,f342,f317,f338,f334]) ).

fof(f350,definition,
    ( spl0_31
  <=> ! [X82] :
        ( c3_1(X82)
        | ~ c2_1(X82)
        | ~ c0_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f351,plain,
    ( ! [X82] :
        ( ~ c2_1(X82)
        | c3_1(X82)
        | ~ c0_1(X82) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f353,plain,
    ( spl0_8
    | spl0_29
    | ~ spl0_23
    | spl0_31 ),
    inference(avatar_split_clause,[],[f190,f350,f317,f342,f249]) ).

fof(f355,definition,
    ( spl0_32
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f359,definition,
    ( spl0_33
  <=> ! [X79] :
        ( c3_1(X79)
        | ~ c1_1(X79)
        | ~ c0_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f360,plain,
    ( ! [X79] :
        ( ~ c1_1(X79)
        | c3_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f363,definition,
    ( spl0_34
  <=> ! [X77] :
        ( c2_1(X77)
        | ~ c3_1(X77)
        | ~ c1_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X77] :
        ( ~ c1_1(X77)
        | ~ c3_1(X77)
        | c2_1(X77) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f365,plain,
    ( spl0_11
    | spl0_26
    | ~ spl0_23
    | spl0_34 ),
    inference(avatar_split_clause,[],[f191,f363,f317,f330,f263]) ).

fof(f367,definition,
    ( spl0_35
  <=> ! [X76] :
        ( c1_1(X76)
        | ~ c3_1(X76)
        | ~ c2_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | c1_1(X76)
        | ~ c2_1(X76) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( spl0_8
    | spl0_10
    | ~ spl0_23
    | spl0_35 ),
    inference(avatar_split_clause,[],[f24,f367,f317,f258,f249]) ).

fof(f372,definition,
    ( spl0_36
  <=> ! [X74] :
        ( c2_1(X74)
        | ~ c1_1(X74)
        | ~ c0_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f373,plain,
    ( ! [X74] :
        ( ~ c1_1(X74)
        | c2_1(X74)
        | ~ c0_1(X74) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f374,plain,
    ( spl0_25
    | spl0_36
    | ~ spl0_23
    | spl0_35 ),
    inference(avatar_split_clause,[],[f192,f367,f317,f372,f325]) ).

fof(f376,definition,
    ( spl0_37
  <=> ! [X72] :
        ( c3_1(X72)
        | ~ c2_1(X72)
        | ~ c1_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f377,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | ~ c2_1(X72)
        | c3_1(X72) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f379,definition,
    ( spl0_38
  <=> ! [X71] :
        ( c1_1(X71)
        | ~ c3_1(X71)
        | ~ c0_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f380,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c1_1(X71)
        | ~ c0_1(X71) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f383,definition,
    ( spl0_39
  <=> ! [X70] :
        ( c2_1(X70)
        | ~ c0_1(X70)
        | c3_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f384,plain,
    ( ! [X70] :
        ( ~ c0_1(X70)
        | c2_1(X70)
        | c3_1(X70) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f385,plain,
    ( spl0_2
    | spl0_39
    | ~ spl0_23
    | spl0_38 ),
    inference(avatar_split_clause,[],[f194,f379,f317,f383,f223]) ).

fof(f387,definition,
    ( spl0_40
  <=> ! [X68] :
        ( c1_1(X68)
        | ~ c2_1(X68)
        | ~ c0_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X68] :
        ( ~ c2_1(X68)
        | c1_1(X68)
        | ~ c0_1(X68) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f389,plain,
    ( spl0_22
    | spl0_21
    | ~ spl0_23
    | spl0_40 ),
    inference(avatar_split_clause,[],[f29,f387,f317,f307,f313]) ).

fof(f390,plain,
    ( spl0_24
    | spl0_38
    | ~ spl0_23
    | spl0_40 ),
    inference(avatar_split_clause,[],[f195,f387,f317,f379,f321]) ).

fof(f392,definition,
    ( spl0_41
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f396,definition,
    ( spl0_42
  <=> ! [X64] :
        ( c1_1(X64)
        | ~ c0_1(X64)
        | c3_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f397,plain,
    ( ! [X64] :
        ( ~ c0_1(X64)
        | c1_1(X64)
        | c3_1(X64) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f398,plain,
    ( spl0_7
    | spl0_41
    | ~ spl0_23
    | spl0_42 ),
    inference(avatar_split_clause,[],[f31,f396,f317,f392,f245]) ).

fof(f400,definition,
    ( spl0_43
  <=> ! [X63] :
        ( c1_1(X63)
        | ~ c3_1(X63)
        | c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c1_1(X63)
        | c2_1(X63) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f402,plain,
    ( spl0_25
    | ~ spl0_23
    | spl0_43 ),
    inference(avatar_split_clause,[],[f32,f400,f317,f325]) ).

fof(f404,plain,
    ( spl0_37
    | spl0_36
    | ~ spl0_23
    | spl0_43 ),
    inference(avatar_split_clause,[],[f196,f400,f317,f372,f376]) ).

fof(f406,definition,
    ( spl0_44
  <=> ! [X57] :
        ( c1_1(X57)
        | ~ c0_1(X57)
        | c2_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f407,plain,
    ( ! [X57] :
        ( ~ c0_1(X57)
        | c1_1(X57)
        | c2_1(X57) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f408,plain,
    ( spl0_18
    | spl0_29
    | ~ spl0_23
    | spl0_44 ),
    inference(avatar_split_clause,[],[f197,f406,f317,f342,f294]) ).

fof(f409,plain,
    ( spl0_19
    | spl0_34
    | ~ spl0_23
    | spl0_44 ),
    inference(avatar_split_clause,[],[f198,f406,f317,f363,f298]) ).

fof(f411,definition,
    ( spl0_45
  <=> ! [X54] :
        ( c2_1(X54)
        | ~ c1_1(X54)
        | c3_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f412,plain,
    ( ! [X54] :
        ( ~ c1_1(X54)
        | c2_1(X54)
        | c3_1(X54) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f413,plain,
    ( spl0_45
    | spl0_39
    | ~ spl0_23
    | spl0_44 ),
    inference(avatar_split_clause,[],[f199,f406,f317,f383,f411]) ).

fof(f419,definition,
    ( spl0_47
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c3_1(X49)
        | ~ c1_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f420,plain,
    ( ! [X49] :
        ( ~ c1_1(X49)
        | ~ c3_1(X49)
        | c0_1(X49) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f422,plain,
    ( spl0_17
    | spl0_38
    | ~ spl0_23
    | spl0_47 ),
    inference(avatar_split_clause,[],[f201,f419,f317,f379,f289]) ).

fof(f424,definition,
    ( spl0_48
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f428,definition,
    ( spl0_49
  <=> ! [X46] :
        ( c0_1(X46)
        | ~ c2_1(X46)
        | ~ c1_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X46] :
        ( ~ c1_1(X46)
        | ~ c2_1(X46)
        | c0_1(X46) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f430,plain,
    ( spl0_3
    | spl0_48
    | ~ spl0_23
    | spl0_49 ),
    inference(avatar_split_clause,[],[f41,f428,f317,f424,f227]) ).

fof(f432,definition,
    ( spl0_50
  <=> ! [X45] :
        ( ~ c0_1(X45)
        | ~ c3_1(X45)
        | ~ c2_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | ~ c0_1(X45)
        | ~ c2_1(X45) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( spl0_9
    | spl0_50
    | ~ spl0_23
    | spl0_49 ),
    inference(avatar_split_clause,[],[f202,f428,f317,f432,f254]) ).

fof(f435,plain,
    ( spl0_31
    | spl0_42
    | ~ spl0_23
    | spl0_49 ),
    inference(avatar_split_clause,[],[f203,f428,f317,f396,f350]) ).

fof(f437,definition,
    ( spl0_51
  <=> ! [X40] :
        ( c0_1(X40)
        | ~ c2_1(X40)
        | c3_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X40] :
        ( ~ c2_1(X40)
        | c0_1(X40)
        | c3_1(X40) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f439,plain,
    ( spl0_27
    | spl0_2
    | ~ spl0_23
    | spl0_51 ),
    inference(avatar_split_clause,[],[f44,f437,f317,f223,f334]) ).

fof(f440,plain,
    ( spl0_5
    | ~ spl0_23
    | spl0_51 ),
    inference(avatar_split_clause,[],[f45,f437,f317,f236]) ).

fof(f448,definition,
    ( spl0_53
  <=> ! [X34] :
        ( c0_1(X34)
        | ~ c1_1(X34)
        | c3_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f449,plain,
    ( ! [X34] :
        ( ~ c1_1(X34)
        | c0_1(X34)
        | c3_1(X34) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f450,plain,
    ( spl0_33
    | spl0_38
    | ~ spl0_23
    | spl0_53 ),
    inference(avatar_split_clause,[],[f204,f448,f317,f379,f359]) ).

fof(f452,definition,
    ( spl0_54
  <=> ! [X32] :
        ( c0_1(X32)
        | ~ c3_1(X32)
        | c2_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f453,plain,
    ( ! [X32] :
        ( ~ c3_1(X32)
        | c0_1(X32)
        | c2_1(X32) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f454,plain,
    ( spl0_20
    | spl0_34
    | ~ spl0_23
    | spl0_54 ),
    inference(avatar_split_clause,[],[f205,f452,f317,f363,f303]) ).

fof(f456,plain,
    ( spl0_26
    | spl0_47
    | ~ spl0_23
    | spl0_54 ),
    inference(avatar_split_clause,[],[f207,f452,f317,f419,f330]) ).

fof(f458,definition,
    ( spl0_55
  <=> ! [X26] :
        ( c0_1(X26)
        | ~ c1_1(X26)
        | c2_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f459,plain,
    ( ! [X26] :
        ( ~ c1_1(X26)
        | c0_1(X26)
        | c2_1(X26) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( spl0_6
    | ~ spl0_23
    | spl0_55 ),
    inference(avatar_split_clause,[],[f52,f458,f317,f241]) ).

fof(f461,plain,
    ( spl0_41
    | spl0_50
    | ~ spl0_23
    | spl0_55 ),
    inference(avatar_split_clause,[],[f208,f458,f317,f432,f392]) ).

fof(f463,definition,
    ( spl0_56
  <=> ! [X22] :
        ( c0_1(X22)
        | c3_1(X22)
        | c2_1(X22) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f464,plain,
    ( ! [X22] :
        ( c3_1(X22)
        | c0_1(X22)
        | c2_1(X22) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f465,plain,
    ( spl0_32
    | spl0_51
    | ~ spl0_23
    | spl0_56 ),
    inference(avatar_split_clause,[],[f209,f463,f317,f437,f355]) ).

fof(f467,definition,
    ( spl0_57
  <=> ! [X21] :
        ( c0_1(X21)
        | ~ c3_1(X21)
        | c1_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f468,plain,
    ( ! [X21] :
        ( c0_1(X21)
        | ~ c3_1(X21)
        | c1_1(X21) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f469,plain,
    ( spl0_2
    | spl0_41
    | ~ spl0_23
    | spl0_57 ),
    inference(avatar_split_clause,[],[f55,f467,f317,f392,f223]) ).

fof(f471,plain,
    ( spl0_9
    | spl0_29
    | ~ spl0_23
    | spl0_57 ),
    inference(avatar_split_clause,[],[f210,f467,f317,f342,f254]) ).

fof(f473,definition,
    ( spl0_58
  <=> ! [X16] :
        ( c0_1(X16)
        | ~ c2_1(X16)
        | c1_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f474,plain,
    ( ! [X16] :
        ( ~ c2_1(X16)
        | c0_1(X16)
        | c1_1(X16) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f475,plain,
    ( spl0_16
    | spl0_39
    | ~ spl0_23
    | spl0_58 ),
    inference(avatar_split_clause,[],[f211,f473,f317,f383,f285]) ).

fof(f476,plain,
    ( spl0_27
    | spl0_42
    | ~ spl0_23
    | spl0_58 ),
    inference(avatar_split_clause,[],[f212,f473,f317,f396,f334]) ).

fof(f477,plain,
    ( spl0_36
    | spl0_47
    | ~ spl0_23
    | spl0_58 ),
    inference(avatar_split_clause,[],[f213,f473,f317,f419,f372]) ).

fof(f478,plain,
    ( spl0_28
    | spl0_57
    | ~ spl0_23
    | spl0_58 ),
    inference(avatar_split_clause,[],[f214,f473,f317,f467,f338]) ).

fof(f480,definition,
    ( spl0_59
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f484,definition,
    ( spl0_60
  <=> ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X7] :
        ( c1_1(X7)
        | c3_1(X7)
        | c0_1(X7) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( spl0_59
    | spl0_56
    | ~ spl0_23
    | spl0_60 ),
    inference(avatar_split_clause,[],[f215,f484,f317,f463,f480]) ).

fof(f513,definition,
    ( spl0_66
  <=> c2_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f516,plain,
    ( spl0_66
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f70,f307,f513]) ).

fof(f518,definition,
    ( spl0_67
  <=> c1_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f520,plain,
    ( c1_1(a304)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f521,plain,
    ( spl0_67
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f71,f307,f518]) ).

fof(f523,definition,
    ( spl0_68
  <=> c0_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f526,plain,
    ( spl0_68
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f72,f307,f523]) ).

fof(f529,definition,
    ( spl0_69
  <=> c3_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f531,plain,
    ( c3_1(a278)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f532,plain,
    ( spl0_69
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f74,f355,f529]) ).

fof(f539,definition,
    ( spl0_71
  <=> c0_1(a278) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f542,plain,
    ( spl0_71
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f76,f355,f539]) ).

fof(f545,definition,
    ( spl0_72
  <=> c3_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f548,plain,
    ( spl0_72
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f78,f392,f545]) ).

fof(f550,definition,
    ( spl0_73
  <=> c2_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f552,plain,
    ( c2_1(a276)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f553,plain,
    ( spl0_73
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f79,f392,f550]) ).

fof(f555,definition,
    ( spl0_74
  <=> c1_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f557,plain,
    ( c1_1(a276)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f558,plain,
    ( spl0_74
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f80,f392,f555]) ).

fof(f566,definition,
    ( spl0_76
  <=> c1_1(a356) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f568,plain,
    ( ~ c1_1(a356)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f569,plain,
    ( ~ spl0_76
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f83,f219,f566]) ).

fof(f571,definition,
    ( spl0_77
  <=> c0_1(a356) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f573,plain,
    ( ~ c0_1(a356)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f574,plain,
    ( ~ spl0_77
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f84,f219,f571]) ).

fof(f575,plain,
    ( spl0_23
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f85,f219,f317]) ).

fof(f577,definition,
    ( spl0_78
  <=> c3_1(a352) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f580,plain,
    ( ~ spl0_78
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f86,f232,f577]) ).

fof(f582,definition,
    ( spl0_79
  <=> c2_1(a352) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f584,plain,
    ( ~ c2_1(a352)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f585,plain,
    ( ~ spl0_79
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f87,f232,f582]) ).

fof(f587,definition,
    ( spl0_80
  <=> c1_1(a352) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f589,plain,
    ( c1_1(a352)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f590,plain,
    ( spl0_80
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f88,f232,f587]) ).

fof(f609,definition,
    ( spl0_84
  <=> c3_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ c3_1(a313)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f612,plain,
    ( ~ spl0_84
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f94,f263,f609]) ).

fof(f614,definition,
    ( spl0_85
  <=> c2_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f616,plain,
    ( ~ c2_1(a313)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f617,plain,
    ( ~ spl0_85
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f95,f263,f614]) ).

fof(f619,definition,
    ( spl0_86
  <=> c1_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ c1_1(a313)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f622,plain,
    ( ~ spl0_86
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f96,f263,f619]) ).

fof(f625,definition,
    ( spl0_87
  <=> c3_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ c3_1(a311)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f628,plain,
    ( ~ spl0_87
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f98,f258,f625]) ).

fof(f630,definition,
    ( spl0_88
  <=> c2_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f632,plain,
    ( c2_1(a311)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f633,plain,
    ( spl0_88
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f99,f258,f630]) ).

fof(f635,definition,
    ( spl0_89
  <=> c0_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f637,plain,
    ( c0_1(a311)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f638,plain,
    ( spl0_89
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f100,f258,f635]) ).

fof(f657,definition,
    ( spl0_93
  <=> c3_1(a305) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f659,plain,
    ( ~ c3_1(a305)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f660,plain,
    ( ~ spl0_93
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f106,f313,f657]) ).

fof(f662,definition,
    ( spl0_94
  <=> c0_1(a305) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ c0_1(a305)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( ~ spl0_94
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f107,f313,f662]) ).

fof(f667,definition,
    ( spl0_95
  <=> c1_1(a305) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f669,plain,
    ( c1_1(a305)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f670,plain,
    ( spl0_95
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f108,f313,f667]) ).

fof(f673,definition,
    ( spl0_96
  <=> c3_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f675,plain,
    ( ~ c3_1(a303)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f676,plain,
    ( ~ spl0_96
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f110,f245,f673]) ).

fof(f678,definition,
    ( spl0_97
  <=> c2_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f680,plain,
    ( c2_1(a303)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f681,plain,
    ( spl0_97
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f111,f245,f678]) ).

fof(f683,definition,
    ( spl0_98
  <=> c1_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f685,plain,
    ( c1_1(a303)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f686,plain,
    ( spl0_98
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f112,f245,f683]) ).

fof(f689,definition,
    ( spl0_99
  <=> c2_1(a298) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f691,plain,
    ( ~ c2_1(a298)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f692,plain,
    ( ~ spl0_99
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f114,f294,f689]) ).

fof(f694,definition,
    ( spl0_100
  <=> c3_1(a298) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f696,plain,
    ( c3_1(a298)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f697,plain,
    ( spl0_100
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f115,f294,f694]) ).

fof(f699,definition,
    ( spl0_101
  <=> c1_1(a298) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f701,plain,
    ( c1_1(a298)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f699]) ).

fof(f702,plain,
    ( spl0_101
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f116,f294,f699]) ).

fof(f721,definition,
    ( spl0_105
  <=> c2_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f724,plain,
    ( ~ spl0_105
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f122,f289,f721]) ).

fof(f726,definition,
    ( spl0_106
  <=> c1_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f728,plain,
    ( c1_1(a293)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f729,plain,
    ( spl0_106
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f123,f289,f726]) ).

fof(f731,definition,
    ( spl0_107
  <=> c0_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f734,plain,
    ( spl0_107
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f124,f289,f731]) ).

fof(f737,definition,
    ( spl0_108
  <=> c0_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f740,plain,
    ( ~ spl0_108
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f126,f424,f737]) ).

fof(f747,definition,
    ( spl0_110
  <=> c2_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f749,plain,
    ( c2_1(a291)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f750,plain,
    ( spl0_110
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f128,f424,f747]) ).

fof(f753,definition,
    ( spl0_111
  <=> c2_1(a287) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f755,plain,
    ( ~ c2_1(a287)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f756,plain,
    ( ~ spl0_111
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f130,f236,f753]) ).

fof(f758,definition,
    ( spl0_112
  <=> c0_1(a287) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f760,plain,
    ( ~ c0_1(a287)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( ~ spl0_112
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f131,f236,f758]) ).

fof(f763,definition,
    ( spl0_113
  <=> c1_1(a287) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f765,plain,
    ( c1_1(a287)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f766,plain,
    ( spl0_113
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f132,f236,f763]) ).

fof(f785,definition,
    ( spl0_117
  <=> c3_1(a284) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f787,plain,
    ( ~ c3_1(a284)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f788,plain,
    ( ~ spl0_117
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f227,f785]) ).

fof(f790,definition,
    ( spl0_118
  <=> c0_1(a284) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ spl0_118
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f139,f227,f790]) ).

fof(f795,definition,
    ( spl0_119
  <=> c2_1(a284) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f797,plain,
    ( c2_1(a284)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f798,plain,
    ( spl0_119
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f227,f795]) ).

fof(f799,plain,
    ( spl0_23
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f141,f227,f317]) ).

fof(f801,definition,
    ( spl0_120
  <=> c1_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f803,plain,
    ( ~ c1_1(a282)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( ~ spl0_120
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f142,f303,f801]) ).

fof(f806,definition,
    ( spl0_121
  <=> c0_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f808,plain,
    ( ~ c0_1(a282)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f809,plain,
    ( ~ spl0_121
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f143,f303,f806]) ).

fof(f811,definition,
    ( spl0_122
  <=> c2_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f813,plain,
    ( c2_1(a282)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f814,plain,
    ( spl0_122
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f144,f303,f811]) ).

fof(f833,definition,
    ( spl0_126
  <=> c1_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f835,plain,
    ( ~ c1_1(a280)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( ~ spl0_126
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f150,f241,f833]) ).

fof(f838,definition,
    ( spl0_127
  <=> c3_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f840,plain,
    ( c3_1(a280)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( spl0_127
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f151,f241,f838]) ).

fof(f843,definition,
    ( spl0_128
  <=> c2_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f845,plain,
    ( c2_1(a280)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( spl0_128
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f152,f241,f843]) ).

fof(f849,definition,
    ( spl0_129
  <=> c3_1(a275) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f851,plain,
    ( ~ c3_1(a275)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f852,plain,
    ( ~ spl0_129
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f154,f325,f849]) ).

fof(f854,definition,
    ( spl0_130
  <=> c2_1(a275) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f857,plain,
    ( ~ spl0_130
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f155,f325,f854]) ).

fof(f859,definition,
    ( spl0_131
  <=> c0_1(a275) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ c0_1(a275)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f862,plain,
    ( ~ spl0_131
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f156,f325,f859]) ).

fof(f865,definition,
    ( spl0_132
  <=> c3_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f867,plain,
    ( ~ c3_1(a274)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f868,plain,
    ( ~ spl0_132
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f158,f298,f865]) ).

fof(f870,definition,
    ( spl0_133
  <=> c1_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f872,plain,
    ( c1_1(a274)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f873,plain,
    ( spl0_133
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f159,f298,f870]) ).

fof(f875,definition,
    ( spl0_134
  <=> c0_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f877,plain,
    ( c0_1(a274)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f878,plain,
    ( spl0_134
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f160,f298,f875]) ).

fof(f886,definition,
    ( spl0_136
  <=> c2_1(a273) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f888,plain,
    ( c2_1(a273)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f889,plain,
    ( spl0_136
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f163,f254,f886]) ).

fof(f891,definition,
    ( spl0_137
  <=> c1_1(a273) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f893,plain,
    ( c1_1(a273)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f894,plain,
    ( spl0_137
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f164,f254,f891]) ).

fof(f897,definition,
    ( spl0_138
  <=> c3_1(a272) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f900,plain,
    ( ~ spl0_138
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f166,f285,f897]) ).

fof(f902,definition,
    ( spl0_139
  <=> c1_1(a272) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ spl0_139
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f167,f285,f902]) ).

fof(f907,definition,
    ( spl0_140
  <=> c0_1(a272) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f909,plain,
    ( c0_1(a272)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f910,plain,
    ( spl0_140
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f168,f285,f907]) ).

fof(f913,definition,
    ( spl0_141
  <=> c3_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f915,plain,
    ( ~ c3_1(a271)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f916,plain,
    ( ~ spl0_141
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f170,f334,f913]) ).

fof(f918,definition,
    ( spl0_142
  <=> c1_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f920,plain,
    ( ~ c1_1(a271)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f921,plain,
    ( ~ spl0_142
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f171,f334,f918]) ).

fof(f923,definition,
    ( spl0_143
  <=> c0_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ c0_1(a271)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f926,plain,
    ( ~ spl0_143
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f172,f334,f923]) ).

fof(f929,definition,
    ( spl0_144
  <=> c2_1(a270) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f932,plain,
    ( ~ spl0_144
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f174,f338,f929]) ).

fof(f934,definition,
    ( spl0_145
  <=> c3_1(a270) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f936,plain,
    ( c3_1(a270)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f937,plain,
    ( spl0_145
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f175,f338,f934]) ).

fof(f939,definition,
    ( spl0_146
  <=> c0_1(a270) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f941,plain,
    ( c0_1(a270)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f942,plain,
    ( spl0_146
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f176,f338,f939]) ).

fof(f945,definition,
    ( spl0_147
  <=> c2_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ spl0_147
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f178,f480,f945]) ).

fof(f950,definition,
    ( spl0_148
  <=> c1_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f952,plain,
    ( ~ c1_1(a269)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f953,plain,
    ( ~ spl0_148
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f179,f480,f950]) ).

fof(f955,definition,
    ( spl0_149
  <=> c0_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f957,plain,
    ( c0_1(a269)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f958,plain,
    ( spl0_149
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f180,f480,f955]) ).

fof(f961,definition,
    ( spl0_150
  <=> c2_1(a268) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f964,plain,
    ( ~ spl0_150
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f182,f223,f961]) ).

fof(f966,definition,
    ( spl0_151
  <=> c1_1(a268) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f968,plain,
    ( ~ c1_1(a268)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f966]) ).

fof(f969,plain,
    ( ~ spl0_151
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f183,f223,f966]) ).

fof(f971,definition,
    ( spl0_152
  <=> c3_1(a268) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f973,plain,
    ( c3_1(a268)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f974,plain,
    ( spl0_152
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f184,f223,f971]) ).

fof(f975,plain,
    ( spl0_23
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f185,f223,f317]) ).

fof(f977,definition,
    ( spl0_153
  <=> c3_1(a267) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f979,plain,
    ( ~ c3_1(a267)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f980,plain,
    ( ~ spl0_153
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f186,f249,f977]) ).

fof(f982,definition,
    ( spl0_154
  <=> c2_1(a267) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f984,plain,
    ( ~ c2_1(a267)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f985,plain,
    ( ~ spl0_154
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f187,f249,f982]) ).

fof(f987,definition,
    ( spl0_155
  <=> c0_1(a267) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f989,plain,
    ( c0_1(a267)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f990,plain,
    ( spl0_155
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f188,f249,f987]) ).

fof(f997,plain,
    ( c3_1(a303)
    | ~ c0_1(a303)
    | ~ spl0_31
    | ~ spl0_97 ),
    inference(resolution,[],[f351,f680]) ).

fof(f998,plain,
    ( c3_1(a311)
    | ~ c0_1(a311)
    | ~ spl0_31
    | ~ spl0_88 ),
    inference(resolution,[],[f351,f632]) ).

fof(f1006,plain,
    ( ~ c2_1(a304)
    | ~ c0_1(a304)
    | ~ spl0_29
    | ~ spl0_67 ),
    inference(resolution,[],[f343,f520]) ).

fof(f1007,plain,
    ( ~ c2_1(a303)
    | ~ c0_1(a303)
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(resolution,[],[f343,f685]) ).

fof(f1013,plain,
    ( ! [X68] :
        ( ~ c2_1(X68)
        | ~ c0_1(X68) )
    | ~ spl0_29
    | ~ spl0_40 ),
    inference(forward_subsumption_resolution,[],[f388,f343]) ).

fof(f1018,plain,
    ( ~ c0_1(a311)
    | ~ spl0_29
    | ~ spl0_40
    | ~ spl0_88 ),
    inference(resolution,[],[f1013,f632]) ).

fof(f1024,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_40
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(forward_subsumption_resolution,[],[f1018,f637]) ).

fof(f1025,plain,
    ( ~ spl0_29
    | ~ spl0_40
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f1024]) ).

fof(f1039,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | ~ c2_1(X76) )
    | ~ spl0_24
    | ~ spl0_35 ),
    inference(forward_subsumption_resolution,[],[f368,f322]) ).

fof(f1120,definition,
    ( spl0_157
  <=> c0_1(a298) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1122,plain,
    ( ~ c0_1(a298)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1120]) ).

fof(f1134,definition,
    ( spl0_158
  <=> c1_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1135,plain,
    ( ~ c1_1(a311)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1134]) ).

fof(f1136,plain,
    ( c1_1(a311)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1134]) ).

fof(f1185,plain,
    ( ~ c2_1(a311)
    | ~ c0_1(a311)
    | ~ spl0_29
    | ~ spl0_158 ),
    inference(resolution,[],[f1136,f343]) ).

fof(f1221,plain,
    ( ! [X64] :
        ( ~ c0_1(X64)
        | c1_1(X64) )
    | ~ spl0_38
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f397,f380]) ).

fof(f1225,plain,
    ( ! [X40] :
        ( ~ c2_1(X40)
        | c0_1(X40) )
    | ~ spl0_24
    | ~ spl0_35
    | ~ spl0_51 ),
    inference(forward_subsumption_resolution,[],[f438,f1039]) ).

fof(f1229,plain,
    ( ~ c2_1(a274)
    | ~ c0_1(a274)
    | ~ spl0_29
    | ~ spl0_133 ),
    inference(resolution,[],[f872,f343]) ).

fof(f1232,definition,
    ( spl0_159
  <=> c2_1(a274) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1233,plain,
    ( c2_1(a274)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1232]) ).

fof(f1249,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | ~ c0_1(X84) )
    | ~ spl0_26
    | ~ spl0_38 ),
    inference(forward_subsumption_resolution,[],[f331,f380]) ).

fof(f1275,plain,
    ( ! [X46] :
        ( ~ c1_1(X46)
        | ~ c2_1(X46) )
    | ~ spl0_29
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f429,f343]) ).

fof(f1302,plain,
    ( ~ c2_1(a303)
    | ~ spl0_29
    | ~ spl0_49
    | ~ spl0_98 ),
    inference(resolution,[],[f1275,f685]) ).

fof(f1322,plain,
    ( ~ spl0_89
    | ~ spl0_88
    | ~ spl0_29
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1185,f1134,f342,f630,f635]) ).

fof(f1338,plain,
    ( ~ spl0_97
    | ~ spl0_29
    | ~ spl0_49
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1302,f683,f428,f342,f678]) ).

fof(f1342,definition,
    ( spl0_160
  <=> c0_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1345,plain,
    ( ~ spl0_160
    | ~ spl0_97
    | ~ spl0_29
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1007,f683,f342,f678,f1342]) ).

fof(f1382,plain,
    ( ~ c3_1(a276)
    | ~ c2_1(a276)
    | ~ spl0_24
    | ~ spl0_74 ),
    inference(resolution,[],[f557,f322]) ).

fof(f1395,plain,
    ( ! [X32] :
        ( ~ c3_1(X32)
        | c0_1(X32) )
    | ~ spl0_24
    | ~ spl0_35
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[],[f453,f1039]) ).

fof(f1411,definition,
    ( spl0_162
  <=> c0_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1413,plain,
    ( ~ c0_1(a280)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1411]) ).

fof(f1445,plain,
    ( c0_1(a280)
    | ~ spl0_24
    | ~ spl0_35
    | ~ spl0_54
    | ~ spl0_127 ),
    inference(resolution,[],[f1395,f840]) ).

fof(f1450,plain,
    ( spl0_162
    | ~ spl0_24
    | ~ spl0_35
    | ~ spl0_54
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1445,f838,f452,f367,f321,f1411]) ).

fof(f1477,plain,
    ( c2_1(a267)
    | c3_1(a267)
    | ~ spl0_39
    | ~ spl0_155 ),
    inference(resolution,[],[f384,f989]) ).

fof(f1480,plain,
    ( c2_1(a274)
    | c3_1(a274)
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(resolution,[],[f384,f877]) ).

fof(f1486,plain,
    ( c3_1(a267)
    | ~ spl0_39
    | spl0_154
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f1477,f984]) ).

fof(f1491,plain,
    ( $false
    | ~ spl0_39
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f1486,f979]) ).

fof(f1492,plain,
    ( ~ spl0_39
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f1491]) ).

fof(f1520,plain,
    ( ! [X74] :
        ( ~ c1_1(X74)
        | c2_1(X74) )
    | ~ spl0_36
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[],[f373,f459]) ).

fof(f1537,plain,
    ( ! [X46] :
        ( ~ c1_1(X46)
        | c0_1(X46) )
    | ~ spl0_49
    | ~ spl0_55 ),
    inference(forward_subsumption_resolution,[],[f429,f459]) ).

fof(f1552,plain,
    ( c0_1(a291)
    | ~ spl0_24
    | ~ spl0_35
    | ~ spl0_51
    | ~ spl0_110 ),
    inference(resolution,[],[f1225,f749]) ).

fof(f1566,plain,
    ( spl0_108
    | ~ spl0_24
    | ~ spl0_35
    | ~ spl0_51
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1552,f747,f437,f367,f321,f737]) ).

fof(f1576,plain,
    ( c2_1(a352)
    | ~ spl0_36
    | ~ spl0_55
    | ~ spl0_80 ),
    inference(resolution,[],[f1520,f589]) ).

fof(f1596,plain,
    ( c2_1(a274)
    | ~ c0_1(a274)
    | ~ spl0_36
    | ~ spl0_133 ),
    inference(resolution,[],[f373,f872]) ).

fof(f1615,plain,
    ( c2_1(a274)
    | ~ spl0_36
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f1596,f877]) ).

fof(f1619,plain,
    ( spl0_159
    | ~ spl0_36
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1615,f875,f870,f372,f1232]) ).

fof(f1622,plain,
    ( c1_1(a272)
    | c3_1(a272)
    | ~ spl0_42
    | ~ spl0_140 ),
    inference(resolution,[],[f397,f909]) ).

fof(f1629,plain,
    ( c1_1(a311)
    | c3_1(a311)
    | ~ spl0_42
    | ~ spl0_89 ),
    inference(resolution,[],[f397,f637]) ).

fof(f1633,plain,
    ( c3_1(a311)
    | ~ spl0_42
    | ~ spl0_89
    | spl0_158 ),
    inference(forward_subsumption_resolution,[],[f1629,f1135]) ).

fof(f1638,plain,
    ( $false
    | ~ spl0_42
    | spl0_87
    | ~ spl0_89
    | spl0_158 ),
    inference(forward_subsumption_resolution,[],[f1633,f627]) ).

fof(f1639,plain,
    ( ~ spl0_42
    | spl0_87
    | ~ spl0_89
    | spl0_158 ),
    inference(avatar_contradiction_clause,[],[f1638]) ).

fof(f1644,plain,
    ( ! [X57] :
        ( ~ c0_1(X57)
        | c2_1(X57) )
    | ~ spl0_36
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f407,f373]) ).

fof(f1645,plain,
    ( c2_1(a267)
    | ~ spl0_36
    | ~ spl0_44
    | ~ spl0_155 ),
    inference(resolution,[],[f1644,f989]) ).

fof(f1664,plain,
    ( c2_1(a274)
    | c3_1(a274)
    | ~ spl0_45
    | ~ spl0_133 ),
    inference(resolution,[],[f412,f872]) ).

fof(f1666,plain,
    ( c2_1(a287)
    | c3_1(a287)
    | ~ spl0_45
    | ~ spl0_113 ),
    inference(resolution,[],[f412,f765]) ).

fof(f1670,plain,
    ( c2_1(a305)
    | c3_1(a305)
    | ~ spl0_45
    | ~ spl0_95 ),
    inference(resolution,[],[f412,f669]) ).

fof(f1671,plain,
    ( c2_1(a352)
    | c3_1(a352)
    | ~ spl0_45
    | ~ spl0_80 ),
    inference(resolution,[],[f412,f589]) ).

fof(f1673,plain,
    ( c3_1(a352)
    | ~ spl0_45
    | spl0_79
    | ~ spl0_80 ),
    inference(forward_subsumption_resolution,[],[f1671,f584]) ).

fof(f1674,plain,
    ( c2_1(a305)
    | ~ spl0_45
    | spl0_93
    | ~ spl0_95 ),
    inference(forward_subsumption_resolution,[],[f1670,f659]) ).

fof(f1675,plain,
    ( c3_1(a287)
    | ~ spl0_45
    | spl0_111
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1666,f755]) ).

fof(f1678,plain,
    ( spl0_78
    | ~ spl0_45
    | spl0_79
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1673,f587,f582,f411,f577]) ).

fof(f1682,plain,
    ( ~ c3_1(a287)
    | c0_1(a287)
    | ~ spl0_47
    | ~ spl0_113 ),
    inference(resolution,[],[f420,f765]) ).

fof(f1698,plain,
    ( c1_1(a280)
    | ~ c0_1(a280)
    | ~ spl0_38
    | ~ spl0_127 ),
    inference(resolution,[],[f380,f840]) ).

fof(f1704,plain,
    ( ~ c0_1(a280)
    | ~ spl0_38
    | spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1698,f835]) ).

fof(f1708,plain,
    ( ~ spl0_162
    | ~ spl0_38
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1704,f838,f833,f379,f1411]) ).

fof(f1716,plain,
    ( ~ c2_1(a305)
    | c0_1(a305)
    | ~ spl0_49
    | ~ spl0_95 ),
    inference(resolution,[],[f429,f669]) ).

fof(f1727,plain,
    ( ~ c0_1(a280)
    | ~ c2_1(a280)
    | ~ spl0_50
    | ~ spl0_127 ),
    inference(resolution,[],[f433,f840]) ).

fof(f1750,definition,
    ( spl0_164
  <=> c2_1(a305) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1752,plain,
    ( c2_1(a305)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1750]) ).

fof(f1762,plain,
    ( c0_1(a298)
    | c2_1(a298)
    | ~ spl0_54
    | ~ spl0_100 ),
    inference(resolution,[],[f453,f696]) ).

fof(f1765,plain,
    ( c2_1(a298)
    | ~ spl0_54
    | ~ spl0_100
    | spl0_157 ),
    inference(forward_subsumption_resolution,[],[f1762,f1122]) ).

fof(f1770,plain,
    ( $false
    | ~ spl0_54
    | spl0_99
    | ~ spl0_100
    | spl0_157 ),
    inference(forward_subsumption_resolution,[],[f1765,f691]) ).

fof(f1771,plain,
    ( ~ spl0_54
    | spl0_99
    | ~ spl0_100
    | spl0_157 ),
    inference(avatar_contradiction_clause,[],[f1770]) ).

fof(f1783,plain,
    ( spl0_164
    | ~ spl0_45
    | spl0_93
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1674,f667,f657,f411,f1750]) ).

fof(f1788,plain,
    ( c0_1(a271)
    | c2_1(a271)
    | ~ spl0_56
    | spl0_141 ),
    inference(resolution,[],[f464,f915]) ).

fof(f1792,plain,
    ( c0_1(a275)
    | c2_1(a275)
    | ~ spl0_56
    | spl0_129 ),
    inference(resolution,[],[f464,f851]) ).

fof(f1797,plain,
    ( c0_1(a305)
    | c2_1(a305)
    | ~ spl0_56
    | spl0_93 ),
    inference(resolution,[],[f464,f659]) ).

fof(f1800,plain,
    ( c0_1(a313)
    | c2_1(a313)
    | ~ spl0_56
    | spl0_84 ),
    inference(resolution,[],[f464,f611]) ).

fof(f1805,plain,
    ( c0_1(a313)
    | ~ spl0_56
    | spl0_84
    | spl0_85 ),
    inference(forward_subsumption_resolution,[],[f1800,f616]) ).

fof(f1807,plain,
    ( c2_1(a275)
    | ~ spl0_56
    | spl0_129
    | spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1792,f861]) ).

fof(f1808,plain,
    ( c2_1(a271)
    | ~ spl0_56
    | spl0_141
    | spl0_143 ),
    inference(forward_subsumption_resolution,[],[f1788,f925]) ).

fof(f1813,plain,
    ( ! [X7] :
        ( c3_1(X7)
        | c0_1(X7) )
    | ~ spl0_53
    | ~ spl0_60 ),
    inference(forward_subsumption_resolution,[],[f485,f449]) ).

fof(f1814,plain,
    ( ~ c0_1(a278)
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_69 ),
    inference(resolution,[],[f531,f1249]) ).

fof(f1823,plain,
    ( ~ spl0_71
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1814,f529,f379,f330,f539]) ).

fof(f1824,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | c3_1(X72) )
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f377,f412]) ).

fof(f1827,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | ~ c2_1(X72) )
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(forward_subsumption_resolution,[],[f377,f322]) ).

fof(f1841,plain,
    ( c0_1(a275)
    | ~ spl0_53
    | ~ spl0_60
    | spl0_129 ),
    inference(resolution,[],[f1813,f851]) ).

fof(f1856,plain,
    ( $false
    | ~ spl0_53
    | ~ spl0_60
    | spl0_129
    | spl0_131 ),
    inference(forward_subsumption_resolution,[],[f1841,f861]) ).

fof(f1857,plain,
    ( ~ spl0_53
    | ~ spl0_60
    | spl0_129
    | spl0_131 ),
    inference(avatar_contradiction_clause,[],[f1856]) ).

fof(f1860,plain,
    ( ~ c2_1(a273)
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_137 ),
    inference(resolution,[],[f1827,f893]) ).

fof(f1866,plain,
    ( ~ c2_1(a303)
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_98 ),
    inference(resolution,[],[f1827,f685]) ).

fof(f1867,plain,
    ( ~ c2_1(a305)
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_95 ),
    inference(resolution,[],[f1827,f669]) ).

fof(f1870,plain,
    ( ~ c2_1(a304)
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_67 ),
    inference(resolution,[],[f1827,f520]) ).

fof(f1874,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_95
    | ~ spl0_164 ),
    inference(forward_subsumption_resolution,[],[f1867,f1752]) ).

fof(f1875,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_95
    | ~ spl0_164 ),
    inference(avatar_contradiction_clause,[],[f1874]) ).

fof(f1876,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(forward_subsumption_resolution,[],[f1866,f680]) ).

fof(f1877,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(avatar_contradiction_clause,[],[f1876]) ).

fof(f1880,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f1860,f888]) ).

fof(f1881,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f1880]) ).

fof(f1883,plain,
    ( ~ c3_1(a276)
    | ~ spl0_24
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(forward_subsumption_resolution,[],[f1382,f552]) ).

fof(f1891,plain,
    ( ~ spl0_66
    | ~ spl0_24
    | ~ spl0_37
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1870,f518,f376,f321,f513]) ).

fof(f1892,plain,
    ( ~ spl0_72
    | ~ spl0_24
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1883,f555,f550,f321,f545]) ).

fof(f1898,plain,
    ( c2_1(a274)
    | ~ spl0_45
    | spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f1664,f867]) ).

fof(f1904,plain,
    ( spl0_130
    | ~ spl0_56
    | spl0_129
    | spl0_131 ),
    inference(avatar_split_clause,[],[f1807,f859,f849,f463,f854]) ).

fof(f1913,plain,
    ( spl0_159
    | ~ spl0_45
    | spl0_132
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1898,f870,f865,f411,f1232]) ).

fof(f1939,plain,
    ( c2_1(a293)
    | ~ c0_1(a293)
    | ~ spl0_36
    | ~ spl0_106 ),
    inference(resolution,[],[f373,f728]) ).

fof(f1940,plain,
    ( c2_1(a298)
    | ~ c0_1(a298)
    | ~ spl0_36
    | ~ spl0_101 ),
    inference(resolution,[],[f373,f701]) ).

fof(f1948,plain,
    ( c1_1(a280)
    | ~ c0_1(a280)
    | ~ spl0_40
    | ~ spl0_128 ),
    inference(resolution,[],[f388,f845]) ).

fof(f1986,plain,
    ( c1_1(a268)
    | c2_1(a268)
    | ~ spl0_43
    | ~ spl0_152 ),
    inference(resolution,[],[f401,f973]) ).

fof(f1987,plain,
    ( c1_1(a280)
    | c2_1(a280)
    | ~ spl0_43
    | ~ spl0_127 ),
    inference(resolution,[],[f401,f840]) ).

fof(f1999,plain,
    ( c2_1(a268)
    | ~ spl0_43
    | spl0_151
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f1986,f968]) ).

fof(f2002,plain,
    ( spl0_150
    | ~ spl0_43
    | spl0_151
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1999,f971,f966,f400,f961]) ).

fof(f2042,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c1_1(X21) )
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f468,f1249]) ).

fof(f2046,plain,
    ( c1_1(a280)
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_57
    | ~ spl0_127 ),
    inference(resolution,[],[f2042,f840]) ).

fof(f2060,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_57
    | spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f2046,f835]) ).

fof(f2061,plain,
    ( ~ spl0_26
    | ~ spl0_38
    | ~ spl0_57
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f2060]) ).

fof(f2075,plain,
    ( c0_1(a287)
    | ~ spl0_45
    | ~ spl0_47
    | spl0_111
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f1682,f1675]) ).

fof(f2088,plain,
    ( $false
    | ~ spl0_45
    | ~ spl0_47
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f2075,f760]) ).

fof(f2089,plain,
    ( ~ spl0_45
    | ~ spl0_47
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f2088]) ).

fof(f2104,definition,
    ( spl0_169
  <=> c3_1(a287) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f2132,plain,
    ( ! [X7] :
        ( c1_1(X7)
        | c3_1(X7) )
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_60 ),
    inference(forward_subsumption_resolution,[],[f485,f1221]) ).

fof(f2157,plain,
    ( c3_1(a311)
    | ~ spl0_31
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(forward_subsumption_resolution,[],[f998,f637]) ).

fof(f2174,plain,
    ( spl0_87
    | ~ spl0_31
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2157,f635,f630,f350,f625]) ).

fof(f2186,plain,
    ( ~ spl0_107
    | spl0_105
    | ~ spl0_36
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1939,f726,f372,f721,f731]) ).

fof(f2187,plain,
    ( ~ spl0_157
    | spl0_99
    | ~ spl0_36
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1940,f699,f372,f689,f1120]) ).

fof(f2205,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c2_1(X77) )
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(forward_subsumption_resolution,[],[f364,f401]) ).

fof(f2217,plain,
    ( ~ c0_1(a270)
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_145 ),
    inference(resolution,[],[f1249,f936]) ).

fof(f2235,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_38
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f2217,f941]) ).

fof(f2236,plain,
    ( ~ spl0_26
    | ~ spl0_38
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(avatar_contradiction_clause,[],[f2235]) ).

fof(f2266,plain,
    ( c2_1(a270)
    | ~ spl0_34
    | ~ spl0_43
    | ~ spl0_145 ),
    inference(resolution,[],[f2205,f936]) ).

fof(f2348,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c1_1(X21) )
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f468,f1221]) ).

fof(f2352,plain,
    ( ~ spl0_160
    | spl0_96
    | ~ spl0_31
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f997,f678,f350,f673,f1342]) ).

fof(f2357,plain,
    ( ! [X21] : c1_1(X21)
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_57
    | ~ spl0_60 ),
    inference(forward_subsumption_resolution,[],[f2348,f2132]) ).

fof(f2361,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_57
    | ~ spl0_60
    | spl0_151 ),
    inference(resolution,[],[f2357,f968]) ).

fof(f2364,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_57
    | ~ spl0_60
    | spl0_126 ),
    inference(resolution,[],[f2357,f835]) ).

fof(f2370,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_42
    | ~ spl0_57
    | ~ spl0_60
    | spl0_76 ),
    inference(resolution,[],[f2357,f568]) ).

fof(f2371,plain,
    ( ~ spl0_38
    | ~ spl0_42
    | ~ spl0_57
    | ~ spl0_60
    | spl0_76 ),
    inference(avatar_contradiction_clause,[],[f2370]) ).

fof(f2377,plain,
    ( ~ spl0_38
    | ~ spl0_42
    | ~ spl0_57
    | ~ spl0_60
    | spl0_126 ),
    inference(avatar_contradiction_clause,[],[f2364]) ).

fof(f2380,plain,
    ( ~ spl0_38
    | ~ spl0_42
    | ~ spl0_57
    | ~ spl0_60
    | spl0_151 ),
    inference(avatar_contradiction_clause,[],[f2361]) ).

fof(f2382,plain,
    ( ~ spl0_68
    | ~ spl0_66
    | ~ spl0_29
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1006,f518,f342,f513,f523]) ).

fof(f2385,plain,
    ( ~ c2_1(a274)
    | ~ spl0_29
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f1229,f877]) ).

fof(f2398,plain,
    ( ~ spl0_159
    | ~ spl0_29
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2385,f875,f870,f342,f1232]) ).

fof(f2441,plain,
    ( spl0_79
    | ~ spl0_36
    | ~ spl0_55
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1576,f587,f458,f372,f582]) ).

fof(f2449,plain,
    ( spl0_154
    | ~ spl0_36
    | ~ spl0_44
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1645,f987,f406,f372,f982]) ).

fof(f2540,plain,
    ( spl0_144
    | ~ spl0_34
    | ~ spl0_43
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2266,f934,f400,f363,f929]) ).

fof(f2567,plain,
    ( c2_1(a274)
    | ~ spl0_39
    | spl0_132
    | ~ spl0_134 ),
    inference(forward_subsumption_resolution,[],[f1480,f867]) ).

fof(f2573,plain,
    ( c2_1(a280)
    | ~ spl0_43
    | spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f1987,f835]) ).

fof(f2593,plain,
    ( c2_1(a305)
    | ~ spl0_56
    | spl0_93
    | spl0_94 ),
    inference(forward_subsumption_resolution,[],[f1797,f664]) ).

fof(f2595,definition,
    ( spl0_174
  <=> c0_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f2596,plain,
    ( ~ c0_1(a313)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f2595]) ).

fof(f2597,plain,
    ( c0_1(a313)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f2595]) ).

fof(f2603,plain,
    ( spl0_159
    | ~ spl0_39
    | spl0_132
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2567,f875,f865,f383,f1232]) ).

fof(f2606,plain,
    ( spl0_128
    | ~ spl0_43
    | spl0_126
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f2573,f838,f833,f400,f843]) ).

fof(f2607,plain,
    ( spl0_164
    | ~ spl0_56
    | spl0_93
    | spl0_94 ),
    inference(avatar_split_clause,[],[f2593,f662,f657,f463,f1750]) ).

fof(f2652,plain,
    ( c1_1(a280)
    | ~ c2_1(a280)
    | ~ spl0_35
    | ~ spl0_127 ),
    inference(resolution,[],[f368,f840]) ).

fof(f2668,plain,
    ( ~ c2_1(a280)
    | ~ spl0_35
    | spl0_126
    | ~ spl0_127 ),
    inference(forward_subsumption_resolution,[],[f2652,f835]) ).

fof(f2675,plain,
    ( $false
    | ~ spl0_35
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f2668,f845]) ).

fof(f2676,plain,
    ( ~ spl0_35
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f2675]) ).

fof(f2697,plain,
    ( c3_1(a274)
    | ~ c0_1(a274)
    | ~ spl0_31
    | ~ spl0_159 ),
    inference(resolution,[],[f1233,f351]) ).

fof(f2698,plain,
    ( ~ c0_1(a274)
    | ~ spl0_31
    | spl0_132
    | ~ spl0_159 ),
    inference(forward_subsumption_resolution,[],[f2697,f867]) ).

fof(f2699,plain,
    ( $false
    | ~ spl0_31
    | spl0_132
    | ~ spl0_134
    | ~ spl0_159 ),
    inference(forward_subsumption_resolution,[],[f2698,f877]) ).

fof(f2700,plain,
    ( ~ spl0_31
    | spl0_132
    | ~ spl0_134
    | ~ spl0_159 ),
    inference(avatar_contradiction_clause,[],[f2699]) ).

fof(f2726,plain,
    ( c2_1(a287)
    | c3_1(a287)
    | ~ spl0_45
    | ~ spl0_113 ),
    inference(resolution,[],[f412,f765]) ).

fof(f2747,plain,
    ( c0_1(a284)
    | c3_1(a284)
    | ~ spl0_51
    | ~ spl0_119 ),
    inference(resolution,[],[f438,f797]) ).

fof(f2752,plain,
    ( c0_1(a303)
    | c3_1(a303)
    | ~ spl0_51
    | ~ spl0_97 ),
    inference(resolution,[],[f438,f680]) ).

fof(f2753,plain,
    ( c0_1(a305)
    | c3_1(a305)
    | ~ spl0_51
    | ~ spl0_164 ),
    inference(resolution,[],[f438,f1752]) ).

fof(f2763,plain,
    ( c3_1(a305)
    | ~ spl0_51
    | spl0_94
    | ~ spl0_164 ),
    inference(forward_subsumption_resolution,[],[f2753,f664]) ).

fof(f2782,plain,
    ( c0_1(a303)
    | ~ spl0_51
    | spl0_96
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[],[f2752,f675]) ).

fof(f2783,plain,
    ( c0_1(a284)
    | ~ spl0_51
    | spl0_117
    | ~ spl0_119 ),
    inference(forward_subsumption_resolution,[],[f2747,f787]) ).

fof(f2784,plain,
    ( spl0_93
    | ~ spl0_51
    | spl0_94
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2763,f1750,f662,f437,f657]) ).

fof(f2789,plain,
    ( spl0_160
    | ~ spl0_51
    | spl0_96
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2782,f678,f673,f437,f1342]) ).

fof(f2790,plain,
    ( spl0_118
    | ~ spl0_51
    | spl0_117
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f2783,f795,f785,f437,f790]) ).

fof(f2817,plain,
    ( c0_1(a287)
    | c2_1(a287)
    | ~ spl0_55
    | ~ spl0_113 ),
    inference(resolution,[],[f459,f765]) ).

fof(f2822,plain,
    ( c0_1(a305)
    | c2_1(a305)
    | ~ spl0_55
    | ~ spl0_95 ),
    inference(resolution,[],[f459,f669]) ).

fof(f2831,plain,
    ( spl0_174
    | ~ spl0_56
    | spl0_84
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1805,f614,f609,f463,f2595]) ).

fof(f2832,plain,
    ( ! [X22] :
        ( c3_1(X22)
        | c0_1(X22) )
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(forward_subsumption_resolution,[],[f464,f438]) ).

fof(f2833,plain,
    ( c0_1(a271)
    | c3_1(a271)
    | ~ spl0_51
    | ~ spl0_56
    | spl0_141
    | spl0_143 ),
    inference(resolution,[],[f1808,f438]) ).

fof(f2834,plain,
    ( c3_1(a271)
    | ~ spl0_51
    | ~ spl0_56
    | spl0_141
    | spl0_143 ),
    inference(forward_subsumption_resolution,[],[f2833,f925]) ).

fof(f2835,plain,
    ( $false
    | ~ spl0_51
    | ~ spl0_56
    | spl0_141
    | spl0_143 ),
    inference(forward_subsumption_resolution,[],[f2834,f915]) ).

fof(f2836,plain,
    ( ~ spl0_51
    | ~ spl0_56
    | spl0_141
    | spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2835]) ).

fof(f2910,plain,
    ( ! [X21] :
        ( c0_1(X21)
        | c1_1(X21) )
    | ~ spl0_51
    | ~ spl0_56
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f468,f2832]) ).

fof(f2912,plain,
    ( spl0_111
    | spl0_112
    | ~ spl0_55
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2817,f763,f458,f758,f753]) ).

fof(f2920,plain,
    ( spl0_94
    | ~ spl0_164
    | ~ spl0_49
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1716,f667,f428,f1750,f662]) ).

fof(f2921,plain,
    ( spl0_164
    | spl0_94
    | ~ spl0_55
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2822,f667,f458,f662,f1750]) ).

fof(f2962,plain,
    ( ! [X21] : c0_1(X21)
    | ~ spl0_49
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_56
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f2910,f1537]) ).

fof(f2966,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_56
    | ~ spl0_57
    | spl0_77 ),
    inference(resolution,[],[f2962,f573]) ).

fof(f2967,plain,
    ( ~ spl0_49
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_56
    | ~ spl0_57
    | spl0_77 ),
    inference(avatar_contradiction_clause,[],[f2966]) ).

fof(f2971,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c0_1(X21) )
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f468,f1537]) ).

fof(f3003,plain,
    ( c1_1(a269)
    | c2_1(a269)
    | ~ spl0_44
    | ~ spl0_149 ),
    inference(resolution,[],[f407,f957]) ).

fof(f3029,plain,
    ( c2_1(a269)
    | ~ spl0_44
    | spl0_148
    | ~ spl0_149 ),
    inference(forward_subsumption_resolution,[],[f3003,f952]) ).

fof(f3035,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | c1_1(X7) )
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_57
    | ~ spl0_60 ),
    inference(forward_subsumption_resolution,[],[f485,f2971]) ).

fof(f3036,plain,
    ( spl0_147
    | ~ spl0_44
    | spl0_148
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f3029,f955,f950,f406,f945]) ).

fof(f3037,plain,
    ( ! [X7] : c0_1(X7)
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_57
    | ~ spl0_60 ),
    inference(forward_subsumption_resolution,[],[f3035,f1537]) ).

fof(f3042,plain,
    ( ! [X68] :
        ( ~ c0_1(X68)
        | c1_1(X68) )
    | ~ spl0_40
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f388,f407]) ).

fof(f3053,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_55
    | ~ spl0_57
    | ~ spl0_60
    | spl0_131 ),
    inference(forward_subsumption_resolution,[],[f861,f3037]) ).

fof(f3054,plain,
    ( ~ spl0_49
    | ~ spl0_55
    | ~ spl0_57
    | ~ spl0_60
    | spl0_131 ),
    inference(avatar_contradiction_clause,[],[f3053]) ).

fof(f3070,plain,
    ( spl0_138
    | spl0_139
    | ~ spl0_42
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1622,f907,f396,f902,f897]) ).

fof(f3081,plain,
    ( spl0_169
    | spl0_111
    | ~ spl0_45
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f2726,f763,f411,f753,f2104]) ).

fof(f3088,plain,
    ( ~ spl0_128
    | ~ spl0_162
    | ~ spl0_50
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1727,f838,f432,f1411,f843]) ).

fof(f3101,plain,
    ( ~ spl0_162
    | spl0_126
    | ~ spl0_40
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1948,f843,f387,f833,f1411]) ).

fof(f3125,plain,
    ( c3_1(a274)
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_133 ),
    inference(resolution,[],[f1824,f872]) ).

fof(f3143,plain,
    ( $false
    | ~ spl0_37
    | ~ spl0_45
    | spl0_132
    | ~ spl0_133 ),
    inference(forward_subsumption_resolution,[],[f3125,f867]) ).

fof(f3144,plain,
    ( ~ spl0_37
    | ~ spl0_45
    | spl0_132
    | ~ spl0_133 ),
    inference(avatar_contradiction_clause,[],[f3143]) ).

fof(f3190,plain,
    ( ! [X79] :
        ( ~ c0_1(X79)
        | c3_1(X79) )
    | ~ spl0_33
    | ~ spl0_40
    | ~ spl0_44 ),
    inference(forward_subsumption_resolution,[],[f360,f3042]) ).

fof(f3191,plain,
    ( c3_1(a267)
    | ~ spl0_33
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_155 ),
    inference(resolution,[],[f3190,f989]) ).

fof(f3217,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_40
    | ~ spl0_44
    | spl0_153
    | ~ spl0_155 ),
    inference(forward_subsumption_resolution,[],[f3191,f979]) ).

fof(f3218,plain,
    ( ~ spl0_33
    | ~ spl0_40
    | ~ spl0_44
    | spl0_153
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f3217]) ).

fof(f3259,plain,
    ( ~ c3_1(a287)
    | c2_1(a287)
    | ~ spl0_34
    | ~ spl0_113 ),
    inference(resolution,[],[f364,f765]) ).

fof(f3276,plain,
    ( ~ c3_1(a287)
    | ~ spl0_34
    | spl0_111
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f3259,f755]) ).

fof(f3288,plain,
    ( ~ spl0_169
    | ~ spl0_34
    | spl0_111
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f3276,f763,f753,f363,f2104]) ).

fof(f3299,plain,
    ( ~ c2_1(a303)
    | c3_1(a303)
    | ~ spl0_37
    | ~ spl0_98 ),
    inference(resolution,[],[f377,f685]) ).

fof(f3307,plain,
    ( c3_1(a303)
    | ~ spl0_37
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(forward_subsumption_resolution,[],[f3299,f680]) ).

fof(f3311,plain,
    ( $false
    | ~ spl0_37
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(forward_subsumption_resolution,[],[f3307,f675]) ).

fof(f3312,plain,
    ( ~ spl0_37
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(avatar_contradiction_clause,[],[f3311]) ).

fof(f3367,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c0_1(X21) )
    | ~ spl0_47
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[],[f468,f420]) ).

fof(f3371,plain,
    ( c0_1(a280)
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_127 ),
    inference(resolution,[],[f3367,f840]) ).

fof(f3390,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_57
    | ~ spl0_127
    | spl0_162 ),
    inference(forward_subsumption_resolution,[],[f3371,f1413]) ).

fof(f3391,plain,
    ( ~ spl0_47
    | ~ spl0_57
    | ~ spl0_127
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3390]) ).

fof(f3394,plain,
    ( ! [X16] :
        ( ~ c2_1(X16)
        | c1_1(X16) )
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f474,f3042]) ).

fof(f3405,plain,
    ( c1_1(a280)
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f3394,f845]) ).

fof(f3420,plain,
    ( $false
    | ~ spl0_40
    | ~ spl0_44
    | ~ spl0_58
    | spl0_126
    | ~ spl0_128 ),
    inference(forward_subsumption_resolution,[],[f3405,f835]) ).

fof(f3421,plain,
    ( ~ spl0_40
    | ~ spl0_44
    | ~ spl0_58
    | spl0_126
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f3420]) ).

fof(f3463,plain,
    ( c1_1(a313)
    | c2_1(a313)
    | ~ spl0_44
    | ~ spl0_174 ),
    inference(resolution,[],[f2597,f407]) ).

fof(f3464,plain,
    ( c2_1(a313)
    | ~ spl0_44
    | spl0_86
    | ~ spl0_174 ),
    inference(forward_subsumption_resolution,[],[f3463,f621]) ).

fof(f3465,plain,
    ( $false
    | ~ spl0_44
    | spl0_85
    | spl0_86
    | ~ spl0_174 ),
    inference(forward_subsumption_resolution,[],[f3464,f616]) ).

fof(f3466,plain,
    ( ~ spl0_44
    | spl0_85
    | spl0_86
    | ~ spl0_174 ),
    inference(avatar_contradiction_clause,[],[f3465]) ).

fof(f3486,plain,
    ( c0_1(a280)
    | c1_1(a280)
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f474,f845]) ).

fof(f3487,plain,
    ( c0_1(a282)
    | c1_1(a282)
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(resolution,[],[f474,f813]) ).

fof(f3500,plain,
    ( c1_1(a282)
    | ~ spl0_58
    | spl0_121
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f3487,f808]) ).

fof(f3501,plain,
    ( c1_1(a280)
    | ~ spl0_58
    | ~ spl0_128
    | spl0_162 ),
    inference(forward_subsumption_resolution,[],[f3486,f1413]) ).

fof(f3504,plain,
    ( $false
    | ~ spl0_58
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(forward_subsumption_resolution,[],[f3500,f803]) ).

fof(f3505,plain,
    ( ~ spl0_58
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f3504]) ).

fof(f3506,plain,
    ( $false
    | ~ spl0_58
    | spl0_126
    | ~ spl0_128
    | spl0_162 ),
    inference(forward_subsumption_resolution,[],[f3501,f835]) ).

fof(f3507,plain,
    ( ~ spl0_58
    | spl0_126
    | ~ spl0_128
    | spl0_162 ),
    inference(avatar_contradiction_clause,[],[f3506]) ).

fof(f3513,plain,
    ( c3_1(a271)
    | c0_1(a271)
    | ~ spl0_60
    | spl0_142 ),
    inference(resolution,[],[f485,f920]) ).

fof(f3517,plain,
    ( c3_1(a313)
    | c0_1(a313)
    | ~ spl0_60
    | spl0_86 ),
    inference(resolution,[],[f485,f621]) ).

fof(f3523,plain,
    ( c0_1(a313)
    | ~ spl0_60
    | spl0_84
    | spl0_86 ),
    inference(forward_subsumption_resolution,[],[f3517,f611]) ).

fof(f3525,plain,
    ( c0_1(a271)
    | ~ spl0_60
    | spl0_141
    | spl0_142 ),
    inference(forward_subsumption_resolution,[],[f3513,f915]) ).

fof(f3527,plain,
    ( $false
    | ~ spl0_60
    | spl0_84
    | spl0_86
    | spl0_174 ),
    inference(forward_subsumption_resolution,[],[f3523,f2596]) ).

fof(f3528,plain,
    ( ~ spl0_60
    | spl0_84
    | spl0_86
    | spl0_174 ),
    inference(avatar_contradiction_clause,[],[f3527]) ).

fof(f3529,plain,
    ( $false
    | ~ spl0_60
    | spl0_141
    | spl0_142
    | spl0_143 ),
    inference(forward_subsumption_resolution,[],[f3525,f925]) ).

fof(f3530,plain,
    ( ~ spl0_60
    | spl0_141
    | spl0_142
    | spl0_143 ),
    inference(avatar_contradiction_clause,[],[f3529]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f230]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f239]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s4,plain,
    ( spl0_6
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f261]) ).

cnf(s11,plain,
    ( spl0_7
    | spl0_22
    | ~ spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f323]) ).

cnf(s13,plain,
    ( spl0_7
    | spl0_19
    | ~ spl0_23
    | spl0_26 ),
    inference(sat_conversion,[],[f332]) ).

cnf(s14,plain,
    ( ~ spl0_23
    | spl0_27
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s16,plain,
    ( spl0_8
    | ~ spl0_23
    | spl0_29
    | spl0_31 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s18,plain,
    ( spl0_11
    | ~ spl0_23
    | spl0_26
    | spl0_34 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s19,plain,
    ( spl0_8
    | spl0_10
    | ~ spl0_23
    | spl0_35 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s21,plain,
    ( ~ spl0_23
    | spl0_25
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s23,plain,
    ( spl0_2
    | ~ spl0_23
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f385]) ).

cnf(s24,plain,
    ( spl0_21
    | spl0_22
    | ~ spl0_23
    | spl0_40 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s25,plain,
    ( ~ spl0_23
    | spl0_24
    | spl0_38
    | spl0_40 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s26,plain,
    ( spl0_7
    | ~ spl0_23
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s27,plain,
    ( ~ spl0_23
    | spl0_25
    | spl0_43 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s29,plain,
    ( ~ spl0_23
    | spl0_36
    | spl0_37
    | spl0_43 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s30,plain,
    ( spl0_18
    | ~ spl0_23
    | spl0_29
    | spl0_44 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s31,plain,
    ( spl0_19
    | ~ spl0_23
    | spl0_34
    | spl0_44 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s32,plain,
    ( ~ spl0_23
    | spl0_39
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s35,plain,
    ( spl0_17
    | ~ spl0_23
    | spl0_38
    | spl0_47 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s36,plain,
    ( spl0_3
    | ~ spl0_23
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s37,plain,
    ( spl0_9
    | ~ spl0_23
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s38,plain,
    ( ~ spl0_23
    | spl0_31
    | spl0_42
    | spl0_49 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s39,plain,
    ( spl0_2
    | ~ spl0_23
    | spl0_27
    | spl0_51 ),
    inference(sat_conversion,[],[f439]) ).

cnf(s40,plain,
    ( spl0_5
    | ~ spl0_23
    | spl0_51 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s43,plain,
    ( ~ spl0_23
    | spl0_33
    | spl0_38
    | spl0_53 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s44,plain,
    ( spl0_20
    | ~ spl0_23
    | spl0_34
    | spl0_54 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s46,plain,
    ( ~ spl0_23
    | spl0_26
    | spl0_47
    | spl0_54 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s47,plain,
    ( spl0_6
    | ~ spl0_23
    | spl0_55 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s48,plain,
    ( ~ spl0_23
    | spl0_41
    | spl0_50
    | spl0_55 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s49,plain,
    ( ~ spl0_23
    | spl0_32
    | spl0_51
    | spl0_56 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s50,plain,
    ( spl0_2
    | ~ spl0_23
    | spl0_41
    | spl0_57 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s52,plain,
    ( spl0_9
    | ~ spl0_23
    | spl0_29
    | spl0_57 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s53,plain,
    ( spl0_16
    | ~ spl0_23
    | spl0_39
    | spl0_58 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s54,plain,
    ( ~ spl0_23
    | spl0_27
    | spl0_42
    | spl0_58 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s55,plain,
    ( ~ spl0_23
    | spl0_36
    | spl0_47
    | spl0_58 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s56,plain,
    ( ~ spl0_23
    | spl0_28
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s57,plain,
    ( ~ spl0_23
    | spl0_56
    | spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s65,plain,
    ( ~ spl0_21
    | spl0_66 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s66,plain,
    ( ~ spl0_21
    | spl0_67 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s67,plain,
    ( ~ spl0_21
    | spl0_68 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s69,plain,
    ( ~ spl0_32
    | spl0_69 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s71,plain,
    ( ~ spl0_32
    | spl0_71 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s73,plain,
    ( ~ spl0_41
    | spl0_72 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s74,plain,
    ( ~ spl0_41
    | spl0_73 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s75,plain,
    ( ~ spl0_41
    | spl0_74 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s78,plain,
    ( ~ spl0_1
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s79,plain,
    ( ~ spl0_1
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s80,plain,
    ( ~ spl0_1
    | spl0_23 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s81,plain,
    ( ~ spl0_4
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s82,plain,
    ( ~ spl0_4
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s83,plain,
    ( ~ spl0_4
    | spl0_80 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s89,plain,
    ( ~ spl0_11
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s90,plain,
    ( ~ spl0_11
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s91,plain,
    ( ~ spl0_11
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s93,plain,
    ( ~ spl0_10
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s94,plain,
    ( ~ spl0_10
    | spl0_88 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s95,plain,
    ( ~ spl0_10
    | spl0_89 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s101,plain,
    ( ~ spl0_22
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s102,plain,
    ( ~ spl0_22
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s103,plain,
    ( ~ spl0_22
    | spl0_95 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s105,plain,
    ( ~ spl0_7
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s106,plain,
    ( ~ spl0_7
    | spl0_97 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s107,plain,
    ( ~ spl0_7
    | spl0_98 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s109,plain,
    ( ~ spl0_18
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s110,plain,
    ( ~ spl0_18
    | spl0_100 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s111,plain,
    ( ~ spl0_18
    | spl0_101 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s117,plain,
    ( ~ spl0_17
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s118,plain,
    ( ~ spl0_17
    | spl0_106 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s119,plain,
    ( ~ spl0_17
    | spl0_107 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s121,plain,
    ( ~ spl0_48
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s123,plain,
    ( ~ spl0_48
    | spl0_110 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s125,plain,
    ( ~ spl0_5
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s126,plain,
    ( ~ spl0_5
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s127,plain,
    ( ~ spl0_5
    | spl0_113 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s133,plain,
    ( ~ spl0_3
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s134,plain,
    ( ~ spl0_3
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s135,plain,
    ( ~ spl0_3
    | spl0_119 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s136,plain,
    ( ~ spl0_3
    | spl0_23 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s137,plain,
    ( ~ spl0_20
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s138,plain,
    ( ~ spl0_20
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s139,plain,
    ( ~ spl0_20
    | spl0_122 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s145,plain,
    ( ~ spl0_6
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s146,plain,
    ( ~ spl0_6
    | spl0_127 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s147,plain,
    ( ~ spl0_6
    | spl0_128 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s149,plain,
    ( ~ spl0_25
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s150,plain,
    ( ~ spl0_25
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s151,plain,
    ( ~ spl0_25
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s153,plain,
    ( ~ spl0_19
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s154,plain,
    ( ~ spl0_19
    | spl0_133 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s155,plain,
    ( ~ spl0_19
    | spl0_134 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s158,plain,
    ( ~ spl0_9
    | spl0_136 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s159,plain,
    ( ~ spl0_9
    | spl0_137 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s161,plain,
    ( ~ spl0_16
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s162,plain,
    ( ~ spl0_16
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s163,plain,
    ( ~ spl0_16
    | spl0_140 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s165,plain,
    ( ~ spl0_27
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s166,plain,
    ( ~ spl0_27
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s167,plain,
    ( ~ spl0_27
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s169,plain,
    ( ~ spl0_28
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s170,plain,
    ( ~ spl0_28
    | spl0_145 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s171,plain,
    ( ~ spl0_28
    | spl0_146 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s173,plain,
    ( ~ spl0_59
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s174,plain,
    ( ~ spl0_59
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s175,plain,
    ( ~ spl0_59
    | spl0_149 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s177,plain,
    ( ~ spl0_2
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s178,plain,
    ( ~ spl0_2
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s179,plain,
    ( ~ spl0_2
    | spl0_152 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s180,plain,
    ( ~ spl0_2
    | spl0_23 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s181,plain,
    ( ~ spl0_8
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s182,plain,
    ( ~ spl0_8
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s183,plain,
    ( ~ spl0_8
    | spl0_155 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s189,plain,
    ( ~ spl0_29
    | ~ spl0_40
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1025]) ).

cnf(s254,plain,
    ( ~ spl0_29
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1322]) ).

cnf(s259,plain,
    ( ~ spl0_29
    | ~ spl0_49
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s261,plain,
    ( ~ spl0_29
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1345]) ).

cnf(s300,plain,
    ( ~ spl0_24
    | ~ spl0_35
    | ~ spl0_54
    | ~ spl0_127
    | spl0_162 ),
    inference(sat_conversion,[],[f1450]) ).

cnf(s307,plain,
    ( ~ spl0_39
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1492]) ).

cnf(s324,plain,
    ( ~ spl0_24
    | ~ spl0_35
    | ~ spl0_51
    | spl0_108
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1566]) ).

cnf(s337,plain,
    ( ~ spl0_36
    | ~ spl0_133
    | ~ spl0_134
    | spl0_159 ),
    inference(sat_conversion,[],[f1619]) ).

cnf(s339,plain,
    ( ~ spl0_42
    | spl0_87
    | ~ spl0_89
    | spl0_158 ),
    inference(sat_conversion,[],[f1639]) ).

cnf(s348,plain,
    ( ~ spl0_45
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f1678]) ).

cnf(s352,plain,
    ( ~ spl0_38
    | spl0_126
    | ~ spl0_127
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s361,plain,
    ( ~ spl0_54
    | spl0_99
    | ~ spl0_100
    | spl0_157 ),
    inference(sat_conversion,[],[f1771]) ).

cnf(s364,plain,
    ( ~ spl0_45
    | spl0_93
    | ~ spl0_95
    | spl0_164 ),
    inference(sat_conversion,[],[f1783]) ).

cnf(s369,plain,
    ( ~ spl0_26
    | ~ spl0_38
    | ~ spl0_69
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f1823]) ).

cnf(s374,plain,
    ( ~ spl0_53
    | ~ spl0_60
    | spl0_129
    | spl0_131 ),
    inference(sat_conversion,[],[f1857]) ).

cnf(s378,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_95
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1875]) ).

cnf(s379,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f1877]) ).

cnf(s381,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1881]) ).

cnf(s385,plain,
    ( ~ spl0_24
    | ~ spl0_37
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s386,plain,
    ( ~ spl0_24
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1892]) ).

cnf(s392,plain,
    ( ~ spl0_56
    | spl0_129
    | spl0_130
    | spl0_131 ),
    inference(sat_conversion,[],[f1904]) ).

cnf(s397,plain,
    ( ~ spl0_45
    | spl0_132
    | ~ spl0_133
    | spl0_159 ),
    inference(sat_conversion,[],[f1913]) ).

cnf(s414,plain,
    ( ~ spl0_43
    | spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f2002]) ).

cnf(s419,plain,
    ( ~ spl0_26
    | ~ spl0_38
    | ~ spl0_57
    | spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2061]) ).

cnf(s435,plain,
    ( ~ spl0_45
    | ~ spl0_47
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2089]) ).

cnf(s474,plain,
    ( ~ spl0_31
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f2174]) ).

cnf(s489,plain,
    ( ~ spl0_36
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2186]) ).

cnf(s490,plain,
    ( ~ spl0_36
    | spl0_99
    | ~ spl0_101
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2187]) ).

cnf(s513,plain,
    ( ~ spl0_26
    | ~ spl0_38
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2236]) ).

cnf(s562,plain,
    ( ~ spl0_31
    | spl0_96
    | ~ spl0_97
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2352]) ).

cnf(s572,plain,
    ( ~ spl0_38
    | ~ spl0_42
    | ~ spl0_57
    | ~ spl0_60
    | spl0_76 ),
    inference(sat_conversion,[],[f2371]) ).

cnf(s578,plain,
    ( ~ spl0_38
    | ~ spl0_42
    | ~ spl0_57
    | ~ spl0_60
    | spl0_126 ),
    inference(sat_conversion,[],[f2377]) ).

cnf(s581,plain,
    ( ~ spl0_38
    | ~ spl0_42
    | ~ spl0_57
    | ~ spl0_60
    | spl0_151 ),
    inference(sat_conversion,[],[f2380]) ).

cnf(s582,plain,
    ( ~ spl0_29
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f2382]) ).

cnf(s590,plain,
    ( ~ spl0_29
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2398]) ).

cnf(s606,plain,
    ( ~ spl0_36
    | ~ spl0_55
    | spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f2441]) ).

cnf(s612,plain,
    ( ~ spl0_36
    | ~ spl0_44
    | spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2449]) ).

cnf(s663,plain,
    ( ~ spl0_34
    | ~ spl0_43
    | spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2540]) ).

cnf(s688,plain,
    ( ~ spl0_39
    | spl0_132
    | ~ spl0_134
    | spl0_159 ),
    inference(sat_conversion,[],[f2603]) ).

cnf(s693,plain,
    ( ~ spl0_43
    | spl0_126
    | ~ spl0_127
    | spl0_128 ),
    inference(sat_conversion,[],[f2606]) ).

cnf(s696,plain,
    ( ~ spl0_56
    | spl0_93
    | spl0_94
    | spl0_164 ),
    inference(sat_conversion,[],[f2607]) ).

cnf(s711,plain,
    ( ~ spl0_35
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2676]) ).

cnf(s735,plain,
    ( ~ spl0_31
    | spl0_132
    | ~ spl0_134
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2700]) ).

cnf(s749,plain,
    ( ~ spl0_51
    | spl0_93
    | spl0_94
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2784]) ).

cnf(s753,plain,
    ( ~ spl0_51
    | spl0_96
    | ~ spl0_97
    | spl0_160 ),
    inference(sat_conversion,[],[f2789]) ).

cnf(s754,plain,
    ( ~ spl0_51
    | spl0_117
    | spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2790]) ).

cnf(s758,plain,
    ( ~ spl0_56
    | spl0_84
    | spl0_85
    | spl0_174 ),
    inference(sat_conversion,[],[f2831]) ).

cnf(s759,plain,
    ( ~ spl0_51
    | ~ spl0_56
    | spl0_141
    | spl0_143 ),
    inference(sat_conversion,[],[f2836]) ).

cnf(s780,plain,
    ( ~ spl0_55
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2912]) ).

cnf(s787,plain,
    ( ~ spl0_49
    | spl0_94
    | ~ spl0_95
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2920]) ).

cnf(s788,plain,
    ( ~ spl0_55
    | spl0_94
    | ~ spl0_95
    | spl0_164 ),
    inference(sat_conversion,[],[f2921]) ).

cnf(s802,plain,
    ( ~ spl0_49
    | ~ spl0_51
    | ~ spl0_55
    | ~ spl0_56
    | ~ spl0_57
    | spl0_77 ),
    inference(sat_conversion,[],[f2967]) ).

cnf(s817,plain,
    ( ~ spl0_44
    | spl0_147
    | spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f3036]) ).

cnf(s822,plain,
    ( ~ spl0_49
    | ~ spl0_55
    | ~ spl0_57
    | ~ spl0_60
    | spl0_131 ),
    inference(sat_conversion,[],[f3054]) ).

cnf(s832,plain,
    ( ~ spl0_42
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f3070]) ).

cnf(s845,plain,
    ( ~ spl0_45
    | spl0_111
    | ~ spl0_113
    | spl0_169 ),
    inference(sat_conversion,[],[f3081]) ).

cnf(s847,plain,
    ( ~ spl0_50
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f3088]) ).

cnf(s858,plain,
    ( ~ spl0_40
    | spl0_126
    | ~ spl0_128
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f3101]) ).

cnf(s889,plain,
    ( ~ spl0_37
    | ~ spl0_45
    | spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f3144]) ).

cnf(s919,plain,
    ( ~ spl0_33
    | ~ spl0_40
    | ~ spl0_44
    | spl0_153
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f3218]) ).

cnf(s954,plain,
    ( ~ spl0_34
    | spl0_111
    | ~ spl0_113
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f3288]) ).

cnf(s957,plain,
    ( ~ spl0_37
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f3312]) ).

cnf(s977,plain,
    ( ~ spl0_47
    | ~ spl0_57
    | ~ spl0_127
    | spl0_162 ),
    inference(sat_conversion,[],[f3391]) ).

cnf(s986,plain,
    ( ~ spl0_40
    | ~ spl0_44
    | ~ spl0_58
    | spl0_126
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f3421]) ).

cnf(s992,plain,
    ( ~ spl0_44
    | spl0_85
    | spl0_86
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f3466]) ).

cnf(s994,plain,
    ( ~ spl0_58
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f3505]) ).

cnf(s995,plain,
    ( ~ spl0_58
    | spl0_126
    | ~ spl0_128
    | spl0_162 ),
    inference(sat_conversion,[],[f3507]) ).

cnf(s998,plain,
    ( ~ spl0_60
    | spl0_84
    | spl0_86
    | spl0_174 ),
    inference(sat_conversion,[],[f3528]) ).

cnf(s999,plain,
    ( ~ spl0_60
    | spl0_141
    | spl0_142
    | spl0_143 ),
    inference(sat_conversion,[],[f3530]) ).

cnf(s1000,plain,
    ( spl0_8
    | spl0_7
    | spl0_60
    | spl0_51
    | ~ spl0_23 ),
    inference(rat,[],[s688,s590,s153,s154,s155,s13,s32,s369,s817,s69,s71,s173,s174,s175,s49,s57,s364,s696,s787,s101,s102,s103,s11,s25,s386,s73,s74,s75,s38,s26,s339,s189,s254,s16,s474,s93,s94,s95,s19,s711,s145,s146,s147,s47,s780,s125,s126,s127,s40]) ).

cnf(s1001,plain,
    ( spl0_164
    | spl0_93
    | spl0_94
    | ~ spl0_95
    | spl0_39
    | spl0_60
    | ~ spl0_23 ),
    inference(rat,[],[s817,s173,s174,s175,s32,s57,s364,s696]) ).

cnf(s1002,plain,
    ( ~ spl0_44
    | ~ spl0_8
    | spl0_35
    | spl0_60
    | ~ spl0_23 ),
    inference(rat,[],[s817,s173,s174,s175,s57,s392,s149,s150,s151,s21,s612,s183,s182]) ).

cnf(s1003,plain,
    ( spl0_7
    | spl0_51
    | ~ spl0_23
    | spl0_2 ),
    inference(rat,[],[s735,s337,s153,s154,s155,s31,s55,s954,s435,s845,s32,s1002,s38,s787,s1001,s101,s102,s103,s11,s386,s73,s74,s75,s26,s832,s161,s162,s163,s53,s995,s352,s23,s307,s181,s182,s183,s1000,s999,s165,s166,s167,s39,s711,s145,s146,s147,s47,s780,s125,s126,s127,s40]) ).

cnf(s1004,plain,
    ( ~ spl0_8
    | spl0_60
    | spl0_111
    | spl0_112
    | ~ spl0_113
    | ~ spl0_23
    | spl0_2 ),
    inference(rat,[],[s513,s170,s171,s56,s419,s46,s361,s490,s109,s110,s111,s30,s590,s337,s154,s155,s55,s31,s995,s954,s352,s435,s845,s23,s32,s307,s1002,s181,s182,s183,s711,s145,s146,s147,s47,s780]) ).

cnf(s1005,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s38,s339,s259,s254,s16,s474,s93,s94,s95,s19,s1004,s106,s107,s1003,s711,s145,s146,s147,s47,s999,s780,s165,s166,s167,s125,s126,s127,s39,s40,s754,s133,s134,s135,s136,s1]) ).

cnf(s1006,plain,
    ( spl0_44
    | spl0_39
    | spl0_51
    | ~ spl0_2 ),
    inference(rat,[],[s489,s117,s118,s119,s35,s369,s46,s361,s490,s109,s110,s111,s30,s590,s29,s397,s889,s153,s154,s155,s31,s954,s435,s845,s32,s127,s126,s125,s40,s71,s69,s49,s392,s149,s150,s151,s27,s414,s177,s178,s179,s180]) ).

cnf(s1007,plain,
    ( ~ spl0_27
    | ~ spl0_60 ),
    inference(rat,[],[s999,s165,s166,s167]) ).

cnf(s1009,plain,
    ( ~ spl0_11
    | ~ spl0_60
    | ~ spl0_44 ),
    inference(rat,[],[s998,s992,s89,s90,s91]) ).

cnf(s1010,plain,
    ( ~ spl0_41
    | ~ spl0_24 ),
    inference(rat,[],[s386,s73,s74,s75]) ).

cnf(s1011,plain,
    ( spl0_58
    | spl0_27
    | spl0_39
    | ~ spl0_23 ),
    inference(rat,[],[s832,s161,s162,s163,s54,s53]) ).

cnf(s1012,plain,
    ( ~ spl0_8
    | spl0_51
    | ~ spl0_2 ),
    inference(rat,[],[s1010,s48,s25,s352,s847,s986,s995,s1011,s1007,s1002,s1006,s307,s181,s182,s183,s711,s145,s146,s147,s47,s780,s125,s126,s127,s40,s180]) ).

cnf(s1013,plain,
    ( ~ spl0_162
    | spl0_40
    | spl0_55
    | ~ spl0_23 ),
    inference(rat,[],[s1010,s25,s48,s352,s847,s147,s146,s145,s47]) ).

cnf(s1014,plain,
    ( spl0_51
    | ~ spl0_2 ),
    inference(rat,[],[s259,s106,s107,s1000,s1007,s54,s995,s1013,s38,s339,s189,s254,s16,s474,s93,s94,s95,s19,s1012,s711,s145,s146,s147,s47,s780,s125,s126,s127,s40,s180]) ).

cnf(s1015,plain,
    ( ~ spl0_3
    | ~ spl0_51 ),
    inference(rat,[],[s754,s133,s134,s135]) ).

cnf(s1016,plain,
    ( ~ spl0_7
    | ~ spl0_37
    | ~ spl0_24 ),
    inference(rat,[],[s379,s106,s107]) ).

cnf(s1017,plain,
    ( ~ spl0_9
    | ~ spl0_37
    | ~ spl0_24 ),
    inference(rat,[],[s381,s158,s159]) ).

cnf(s1019,plain,
    ( ~ spl0_22
    | ~ spl0_37
    | ~ spl0_24
    | ~ spl0_55 ),
    inference(rat,[],[s788,s378,s102,s103]) ).

cnf(s1020,plain,
    ( ~ spl0_37
    | ~ spl0_24
    | ~ spl0_55
    | spl0_40
    | spl0_50
    | ~ spl0_60
    | ~ spl0_2 ),
    inference(rat,[],[s582,s65,s66,s67,s24,s1019,s52,s822,s37,s1017,s151,s27,s414,s177,s178,s179,s180]) ).

cnf(s1021,plain,
    ( ~ spl0_4
    | ~ spl0_36
    | ~ spl0_55 ),
    inference(rat,[],[s606,s82,s83]) ).

cnf(s1022,plain,
    ( spl0_126
    | ~ spl0_58
    | ~ spl0_60
    | ~ spl0_128
    | ~ spl0_127
    | ~ spl0_2 ),
    inference(rat,[],[s780,s125,s126,s127,s2,s1021,s29,s1020,s25,s1013,s352,s858,s847,s995,s180,s414,s177,s178,s179,s1015,s1014]) ).

cnf(s1028,plain,
    ( ~ spl0_44
    | ~ spl0_33
    | spl0_38
    | ~ spl0_55
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s385,s65,s66,s24,s1019,s25,s29,s919,s612,s180,s414,s177,s178,s179,s183,s182,s181]) ).

cnf(s1029,plain,
    ( ~ spl0_37
    | ~ spl0_24
    | ~ spl0_29
    | spl0_6
    | ~ spl0_23 ),
    inference(rat,[],[s339,s254,s93,s94,s95,s4,s26,s1017,s1016,s1010]) ).

cnf(s1030,plain,
    ( ~ spl0_5
    | ~ spl0_55 ),
    inference(rat,[],[s780,s125,s126,s127]) ).

cnf(s1031,plain,
    ( spl0_38
    | ~ spl0_55
    | spl0_53
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s1028,s43,s32,s348,s82,s81,s83,s2,s1030,s1015,s1014,s180,s307,s181,s182,s183]) ).

cnf(s1032,plain,
    ( ~ spl0_24
    | ~ spl0_38
    | spl0_6
    | ~ spl0_60
    | ~ spl0_2 ),
    inference(rat,[],[s581,s26,s52,s1017,s1016,s1029,s1010,s29,s1021,s2,s1030,s1015,s1014,s47,s180,s414,s177,s178,s179]) ).

cnf(s1033,plain,
    ( ~ spl0_22
    | ~ spl0_55
    | ~ spl0_51 ),
    inference(rat,[],[s749,s788,s101,s102,s103]) ).

cnf(s1034,plain,
    ( ~ spl0_60
    | ~ spl0_128
    | ~ spl0_127
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s957,s105,s106,s107,s11,s1033,s1032,s1031,s29,s1021,s2,s1030,s47,s145,s1022,s1011,s1007,s374,s151,s149,s27,s414,s177,s178,s179,s180,s1015,s1014,s307,s181,s182,s183]) ).

cnf(s1035,plain,
    ( ~ spl0_4
    | ~ spl0_45 ),
    inference(rat,[],[s348,s81,s82,s83]) ).

cnf(s1036,plain,
    ( ~ spl0_17
    | ~ spl0_36 ),
    inference(rat,[],[s489,s117,s118,s119]) ).

cnf(s1037,plain,
    ( ~ spl0_28
    | ~ spl0_38
    | ~ spl0_26 ),
    inference(rat,[],[s513,s170,s171]) ).

cnf(s1038,plain,
    ( spl0_44
    | ~ spl0_127
    | spl0_39
    | ~ spl0_2 ),
    inference(rat,[],[s56,s419,s145,s1037,s35,s1036,s994,s137,s138,s139,s44,s46,s361,s490,s109,s110,s111,s30,s590,s29,s397,s889,s153,s154,s155,s31,s954,s47,s435,s845,s1030,s125,s126,s127,s2,s1035,s32,s180,s414,s177,s178,s179,s1015,s1014]) ).

cnf(s1039,plain,
    ( ~ spl0_59
    | ~ spl0_44 ),
    inference(rat,[],[s817,s173,s174,s175]) ).

cnf(s1040,plain,
    ( ~ spl0_127
    | ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s957,s105,s106,s107,s11,s1032,s1033,s1031,s47,s147,s1034,s374,s57,s1039,s29,s612,s1038,s392,s149,s150,s151,s27,s414,s177,s178,s179,s180,s1014,s307,s181,s182,s183]) ).

cnf(s1041,plain,
    ( ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s957,s105,s106,s107,s11,s1032,s1031,s374,s57,s1039,s32,s29,s1035,s1021,s2,s1033,s1030,s47,s146,s1040,s307,s181,s182,s183,s392,s149,s150,s151,s27,s414,s177,s178,s179,s180,s1015,s1014]) ).

cnf(s1043,plain,
    ( ~ spl0_7
    | ~ spl0_37 ),
    inference(rat,[],[s957,s105,s106,s107]) ).

cnf(s1044,plain,
    ( ~ spl0_55
    | ~ spl0_127
    | ~ spl0_2 ),
    inference(rat,[],[s254,s16,s339,s474,s93,s94,s95,s19,s26,s711,s1010,s145,s147,s11,s3,s1043,s29,s1021,s2,s1033,s1030,s180,s414,s177,s178,s179,s1015,s1014,s1041]) ).

cnf(s1045,plain,
    ( ~ spl0_10
    | spl0_38
    | ~ spl0_2 ),
    inference(rat,[],[s259,s106,s107,s26,s38,s1010,s339,s25,s254,s189,s16,s474,s93,s94,s95,s180,s1041]) ).

cnf(s1046,plain,
    ( ~ spl0_127
    | ~ spl0_35
    | ~ spl0_2 ),
    inference(rat,[],[s711,s145,s147,s47,s1044,s180]) ).

cnf(s1047,plain,
    ( spl0_6
    | ~ spl0_2 ),
    inference(rat,[],[s1021,s29,s2,s1043,s1030,s3,s47,s180,s414,s177,s178,s179,s1015,s1014,s1041]) ).

cnf(s1048,plain,
    ( ~ spl0_19
    | ~ spl0_2 ),
    inference(rat,[],[s688,s590,s153,s154,s155,s1038,s1039,s57,s1007,s54,s339,s254,s16,s474,s94,s95,s93,s995,s352,s1045,s19,s1046,s1041,s147,s145,s392,s149,s150,s151,s27,s414,s177,s178,s179,s180,s146,s1047]) ).

cnf(s1049,plain,
    ( ~ spl0_26
    | ~ spl0_2 ),
    inference(rat,[],[s56,s1037,s419,s995,s352,s1045,s19,s1046,s180,s1041,s146,s147,s145,s1047]) ).

cnf(s1050,plain,
    ~ spl0_2,
    inference(rat,[],[s259,s106,s107,s13,s1049,s1048,s38,s339,s254,s16,s474,s93,s94,s95,s19,s1046,s146,s1047,s1041,s180]) ).

cnf(s1051,plain,
    spl0_1,
    inference(rat,[],[s1005,s1050]) ).

cnf(s1052,plain,
    spl0_23,
    inference(rat,[],[s80,s1051]) ).

cnf(s1053,plain,
    ~ spl0_77,
    inference(rat,[],[s79,s1051]) ).

cnf(s1054,plain,
    ~ spl0_76,
    inference(rat,[],[s78,s1051]) ).

cnf(s1056,plain,
    ( ~ spl0_8
    | ~ spl0_39 ),
    inference(rat,[],[s307,s181,s182,s183]) ).

cnf(s1057,plain,
    ( spl0_7
    | spl0_22
    | spl0_8
    | spl0_126
    | ~ spl0_127 ),
    inference(rat,[],[s254,s16,s339,s474,s93,s94,s95,s19,s711,s26,s147,s1010,s3,s11,s1052]) ).

cnf(s1058,plain,
    ( ~ spl0_55
    | spl0_8
    | spl0_126
    | ~ spl0_127 ),
    inference(rat,[],[s16,s562,s261,s753,s105,s106,s107,s1057,s1033,s40,s1030,s1052]) ).

cnf(s1059,plain,
    ( spl0_38
    | spl0_126
    | ~ spl0_127 ),
    inference(rat,[],[s259,s106,s107,s26,s38,s1010,s339,s25,s254,s189,s16,s474,s93,s94,s95,s19,s711,s147,s47,s1058,s1056,s23,s1052,s1050]) ).

cnf(s1060,plain,
    ( spl0_7
    | ~ spl0_55
    | spl0_126
    | ~ spl0_127 ),
    inference(rat,[],[s300,s1002,s46,s578,s977,s419,s26,s50,s1010,s11,s352,s1059,s1033,s32,s1035,s2,s1015,s40,s1030,s1056,s1058,s1052,s1050]) ).

cnf(s1061,plain,
    ( ~ spl0_55
    | spl0_126
    | ~ spl0_127 ),
    inference(rat,[],[s1007,s1011,s1002,s995,s711,s693,s29,s1043,s1060,s32,s1035,s1021,s2,s1015,s1056,s40,s1058,s1030,s352,s1059,s1052]) ).

cnf(s1062,plain,
    ( ~ spl0_5
    | spl0_60
    | ~ spl0_8 ),
    inference(rat,[],[s1004,s125,s126,s127,s1052,s1050]) ).

cnf(s1063,plain,
    ( ~ spl0_8
    | spl0_58
    | spl0_35 ),
    inference(rat,[],[s1015,s2,s40,s1062,s1035,s32,s1002,s1007,s1011,s1056,s1052]) ).

cnf(s1064,plain,
    ( ~ spl0_19
    | ~ spl0_39
    | ~ spl0_29 ),
    inference(rat,[],[s688,s590,s153,s154,s155]) ).

cnf(s1065,plain,
    ( ~ spl0_26
    | spl0_126
    | ~ spl0_127 ),
    inference(rat,[],[s56,s1037,s419,s995,s147,s47,s1061,s352,s1059,s1052]) ).

cnf(s1066,plain,
    ( spl0_7
    | spl0_126
    | ~ spl0_127 ),
    inference(rat,[],[s1001,s787,s1064,s101,s102,s103,s13,s1057,s38,s1007,s54,s339,s254,s16,s474,s94,s95,s93,s19,s1063,s711,s995,s147,s47,s1061,s352,s1059,s1065,s1052]) ).

cnf(s1067,plain,
    ( ~ spl0_38
    | spl0_126
    | ~ spl0_127 ),
    inference(rat,[],[s259,s106,s107,s1066,s38,s339,s254,s16,s474,s93,s94,s95,s19,s1063,s995,s711,s147,s47,s1061,s352,s1052]) ).

cnf(s1068,plain,
    ( spl0_126
    | ~ spl0_127 ),
    inference(rat,[],[s1067,s1059]) ).

cnf(s1069,plain,
    ( spl0_8
    | spl0_6 ),
    inference(rat,[],[s16,s562,s261,s753,s105,s106,s107,s3,s40,s1030,s47,s1052]) ).

cnf(s1070,plain,
    ( spl0_7
    | spl0_6 ),
    inference(rat,[],[s324,s121,s123,s36,s802,s57,s1002,s572,s26,s50,s1010,s11,s1033,s23,s1039,s32,s1056,s1069,s1035,s2,s1015,s40,s1030,s47,s1052,s1053,s1054,s1050]) ).

cnf(s1071,plain,
    ( ~ spl0_60
    | spl0_6 ),
    inference(rat,[],[s18,s663,s1037,s169,s170,s14,s1009,s1007,s23,s32,s1056,s1069,s1035,s29,s1043,s1021,s2,s1015,s261,s753,s105,s40,s1030,s47,s107,s106,s1070,s1052,s1050]) ).

cnf(s1072,plain,
    ( ~ spl0_27
    | spl0_6 ),
    inference(rat,[],[s759,s165,s167,s57,s1071,s1039,s32,s1056,s1069,s1035,s2,s1015,s40,s1030,s47,s1052]) ).

cnf(s1073,plain,
    spl0_6,
    inference(rat,[],[s758,s992,s89,s90,s91,s18,s663,s1037,s169,s170,s14,s1072,s57,s1071,s261,s29,s753,s1043,s105,s106,s107,s1070,s1039,s32,s23,s1056,s1069,s1035,s1021,s2,s1015,s40,s1030,s47,s1052,s1050]) ).

cnf(s1075,plain,
    spl0_127,
    inference(rat,[],[s146,s1073]) ).

cnf(s1076,plain,
    ~ spl0_126,
    inference(rat,[],[s145,s1073]) ).

cnf(s1078,plain,
    $false,
    inference(rat,[],[s1068,s1075,s1076]) ).

fof(f3531,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1078]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN462+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n008.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 16:07:40 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  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
% 0.20/0.29  % (2369624)Will run a generic schedule for satisfiability detection.
% 0.20/0.29  % (2369632)dis+10_1_sil=32000:sp=arity:random_seed=579430298:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29  % (2369630)% WARNING: option uhcvi not known.
% 0.20/0.29  % (2369630)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4157295555:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29  % (2369631)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3657845575:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29  % (2369633)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=462318048:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29  % (2369634)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2496070369:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29  % (2369629)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3021414130_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29  % (2369635)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4127585226:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29  % Detected minimum model sizes of [1]
% 0.20/0.29  % Detected maximum model sizes of [31]
% 0.20/0.29  % TRYING [1]
% 0.20/0.29  % TRYING [2]
% 0.20/0.29  % TRYING [3]
% 0.20/0.29  % TRYING [4]
% 0.20/0.29  % (2369632) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2369624-2369632"...
% 0.20/0.29  % (2369632)...printing done.
% 0.20/0.29  % (2369632)Refutation found. Thanks to Tanya!
% 0.20/0.29  % SZS status Theorem for theBenchmark
% 0.20/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.30  % (2369632)------------------------------
% 0.20/0.30  % (2369632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.30  % (2369632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.30  % (2369632)CaDiCaL version: 2.1.3
% 0.20/0.30  % (2369632)Termination reason: Refutation
% 0.20/0.30  % (2369632)Time elapsed: 0.029 s
% 0.20/0.30  % (2369632)Peak memory usage: 14 MB
% 0.20/0.30  % (2369632)Instructions burned: 83 (million)
% 0.20/0.30  % (2369624)Success in time 0.062 s
% 0.20/0.30  % Vampire exiting
%------------------------------------------------------------------------------