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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN462+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:53:01 PM UTC 2026

% Result   : Theorem 3.17s 1.10s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :  122
% Syntax   : Number of formulae    :  740 (  28 unt; 121 def)
%            Number of atoms       : 5336 (   0 equ)
%            Maximal formula atoms :  593 (   7 avg)
%            Number of connectives : 7111 (2515   ~;3299   |; 915   &)
%                                         ( 121 <=>; 261  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   97 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  158 ( 157 usr; 154 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  594 (   0 sgn 594   !;   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/sandbox2/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(f11,plain,
    ( hskp30
    | hskp14
    | hskp17 ),
    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(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(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(f39,plain,
    ! [X49] :
      ( c0_1(X49)
      | ~ c1_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | hskp0
      | hskp17 ),
    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(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(f55,plain,
    ! [X21] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | hskp27
      | hskp1 ),
    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(f66,plain,
    ( ~ hskp30
    | c3_1(a337) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp30
    | c2_1(a337) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp30
    | c0_1(a337) ),
    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(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(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(f118,plain,
    ( ~ hskp17
    | ~ c1_1(a295) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp17
    | ~ c0_1(a295) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp17
    | c3_1(a295) ),
    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(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(f162,plain,
    ( ~ hskp6
    | ~ c0_1(a273) ),
    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(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(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(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(f222,definition,
    ( spl0_2
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f225,definition,
    ( spl0_3
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f227,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f225,f222,f219]) ).

fof(f229,definition,
    ( spl0_4
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f232,definition,
    ( spl0_5
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f234,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f232,f229,f225]) ).

fof(f236,definition,
    ( spl0_6
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f239,definition,
    ( spl0_7
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f242,definition,
    ( spl0_8
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f244,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f242,f239,f236]) ).

fof(f246,definition,
    ( spl0_9
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f249,definition,
    ( spl0_10
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f251,plain,
    ( spl0_6
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f9,f249,f246,f236]) ).

fof(f253,definition,
    ( spl0_11
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f263,definition,
    ( spl0_14
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f266,definition,
    ( spl0_15
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f268,plain,
    ( spl0_14
    | spl0_5
    | spl0_15 ),
    inference(avatar_split_clause,[],[f11,f266,f232,f263]) ).

fof(f270,definition,
    ( spl0_16
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f273,definition,
    ( spl0_17
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f284,definition,
    ( spl0_20
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f295,definition,
    ( spl0_23
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f298,definition,
    ( spl0_24
  <=> ! [X86] :
        ( ~ c1_1(X86)
        | ~ c3_1(X86)
        | ~ c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f299,plain,
    ( ! [X86] :
        ( ~ c3_1(X86)
        | ~ c1_1(X86)
        | ~ c2_1(X86) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f302,definition,
    ( spl0_25
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f306,definition,
    ( spl0_26
  <=> ! [X84] :
        ( ~ c0_1(X84)
        | ~ c3_1(X84)
        | ~ c1_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f307,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | ~ c0_1(X84)
        | ~ c1_1(X84) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f310,definition,
    ( spl0_27
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f313,definition,
    ( spl0_28
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f316,definition,
    ( spl0_29
  <=> ! [X83] :
        ( ~ c0_1(X83)
        | ~ c2_1(X83)
        | ~ c1_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f317,plain,
    ( ! [X83] :
        ( ~ c2_1(X83)
        | ~ c0_1(X83)
        | ~ c1_1(X83) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f318,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_23
    | spl0_29 ),
    inference(avatar_split_clause,[],[f19,f316,f295,f313,f310]) ).

fof(f323,definition,
    ( spl0_31
  <=> ! [X82] :
        ( c3_1(X82)
        | ~ c2_1(X82)
        | ~ c0_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f324,plain,
    ( ! [X82] :
        ( c3_1(X82)
        | ~ c2_1(X82)
        | ~ c0_1(X82) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f326,plain,
    ( spl0_8
    | spl0_29
    | ~ spl0_23
    | spl0_31 ),
    inference(avatar_split_clause,[],[f190,f323,f295,f316,f242]) ).

fof(f331,definition,
    ( spl0_33
  <=> ! [X79] :
        ( c3_1(X79)
        | ~ c1_1(X79)
        | ~ c0_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f332,plain,
    ( ! [X79] :
        ( c3_1(X79)
        | ~ c1_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f335,definition,
    ( spl0_34
  <=> ! [X77] :
        ( c2_1(X77)
        | ~ c3_1(X77)
        | ~ c1_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f336,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c2_1(X77)
        | ~ c1_1(X77) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f337,plain,
    ( spl0_11
    | spl0_26
    | ~ spl0_23
    | spl0_34 ),
    inference(avatar_split_clause,[],[f191,f335,f295,f306,f253]) ).

fof(f339,definition,
    ( spl0_35
  <=> ! [X76] :
        ( c1_1(X76)
        | ~ c3_1(X76)
        | ~ c2_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f340,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | c1_1(X76)
        | ~ c2_1(X76) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f341,plain,
    ( spl0_8
    | spl0_10
    | ~ spl0_23
    | spl0_35 ),
    inference(avatar_split_clause,[],[f24,f339,f295,f249,f242]) ).

fof(f344,definition,
    ( spl0_36
  <=> ! [X74] :
        ( c2_1(X74)
        | ~ c1_1(X74)
        | ~ c0_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f345,plain,
    ( ! [X74] :
        ( c2_1(X74)
        | ~ c1_1(X74)
        | ~ c0_1(X74) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f346,plain,
    ( spl0_25
    | spl0_36
    | ~ spl0_23
    | spl0_35 ),
    inference(avatar_split_clause,[],[f192,f339,f295,f344,f302]) ).

fof(f348,definition,
    ( spl0_37
  <=> ! [X72] :
        ( c3_1(X72)
        | ~ c2_1(X72)
        | ~ c1_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f349,plain,
    ( ! [X72] :
        ( c3_1(X72)
        | ~ c2_1(X72)
        | ~ c1_1(X72) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f351,definition,
    ( spl0_38
  <=> ! [X71] :
        ( c1_1(X71)
        | ~ c3_1(X71)
        | ~ c0_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f352,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c1_1(X71)
        | ~ c0_1(X71) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f355,definition,
    ( spl0_39
  <=> ! [X70] :
        ( c2_1(X70)
        | ~ c0_1(X70)
        | c3_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f356,plain,
    ( ! [X70] :
        ( c3_1(X70)
        | ~ c0_1(X70)
        | c2_1(X70) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f357,plain,
    ( spl0_2
    | spl0_39
    | ~ spl0_23
    | spl0_38 ),
    inference(avatar_split_clause,[],[f194,f351,f295,f355,f222]) ).

fof(f359,definition,
    ( spl0_40
  <=> ! [X68] :
        ( c1_1(X68)
        | ~ c2_1(X68)
        | ~ c0_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f360,plain,
    ( ! [X68] :
        ( ~ c2_1(X68)
        | c1_1(X68)
        | ~ c0_1(X68) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f362,plain,
    ( spl0_24
    | spl0_38
    | ~ spl0_23
    | spl0_40 ),
    inference(avatar_split_clause,[],[f195,f359,f295,f351,f298]) ).

fof(f364,definition,
    ( spl0_41
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f367,definition,
    ( spl0_42
  <=> ! [X64] :
        ( c1_1(X64)
        | ~ c0_1(X64)
        | c3_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X64] :
        ( c3_1(X64)
        | ~ c0_1(X64)
        | c1_1(X64) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( spl0_7
    | spl0_41
    | ~ spl0_23
    | spl0_42 ),
    inference(avatar_split_clause,[],[f31,f367,f295,f364,f239]) ).

fof(f371,definition,
    ( spl0_43
  <=> ! [X63] :
        ( c1_1(X63)
        | ~ c3_1(X63)
        | c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f372,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c1_1(X63)
        | c2_1(X63) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f373,plain,
    ( spl0_25
    | ~ spl0_23
    | spl0_43 ),
    inference(avatar_split_clause,[],[f32,f371,f295,f302]) ).

fof(f375,plain,
    ( spl0_37
    | spl0_36
    | ~ spl0_23
    | spl0_43 ),
    inference(avatar_split_clause,[],[f196,f371,f295,f344,f348]) ).

fof(f377,definition,
    ( spl0_44
  <=> ! [X57] :
        ( c1_1(X57)
        | ~ c0_1(X57)
        | c2_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f378,plain,
    ( ! [X57] :
        ( c2_1(X57)
        | ~ c0_1(X57)
        | c1_1(X57) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f382,definition,
    ( spl0_45
  <=> ! [X54] :
        ( c2_1(X54)
        | ~ c1_1(X54)
        | c3_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X54] :
        ( c3_1(X54)
        | ~ c1_1(X54)
        | c2_1(X54) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f384,plain,
    ( spl0_45
    | spl0_39
    | ~ spl0_23
    | spl0_44 ),
    inference(avatar_split_clause,[],[f199,f377,f295,f355,f382]) ).

fof(f390,definition,
    ( spl0_47
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c3_1(X49)
        | ~ c1_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | c0_1(X49)
        | ~ c1_1(X49) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_14
    | spl0_8
    | ~ spl0_23
    | spl0_47 ),
    inference(avatar_split_clause,[],[f39,f390,f295,f242,f263]) ).

fof(f393,plain,
    ( spl0_17
    | spl0_38
    | ~ spl0_23
    | spl0_47 ),
    inference(avatar_split_clause,[],[f201,f390,f295,f351,f273]) ).

fof(f398,definition,
    ( spl0_49
  <=> ! [X46] :
        ( c0_1(X46)
        | ~ c2_1(X46)
        | ~ c1_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X46] :
        ( ~ c2_1(X46)
        | c0_1(X46)
        | ~ c1_1(X46) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f405,plain,
    ( spl0_31
    | spl0_42
    | ~ spl0_23
    | spl0_49 ),
    inference(avatar_split_clause,[],[f203,f398,f295,f367,f323]) ).

fof(f407,definition,
    ( spl0_51
  <=> ! [X40] :
        ( c0_1(X40)
        | ~ c2_1(X40)
        | c3_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f408,plain,
    ( ! [X40] :
        ( c3_1(X40)
        | ~ c2_1(X40)
        | c0_1(X40) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f409,plain,
    ( spl0_27
    | spl0_2
    | ~ spl0_23
    | spl0_51 ),
    inference(avatar_split_clause,[],[f44,f407,f295,f222,f310]) ).

fof(f410,plain,
    ( spl0_5
    | ~ spl0_23
    | spl0_51 ),
    inference(avatar_split_clause,[],[f45,f407,f295,f232]) ).

fof(f417,definition,
    ( spl0_53
  <=> ! [X34] :
        ( c0_1(X34)
        | ~ c1_1(X34)
        | c3_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X34] :
        ( c3_1(X34)
        | ~ c1_1(X34)
        | c0_1(X34) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f419,plain,
    ( spl0_33
    | spl0_38
    | ~ spl0_23
    | spl0_53 ),
    inference(avatar_split_clause,[],[f204,f417,f295,f351,f331]) ).

fof(f421,definition,
    ( spl0_54
  <=> ! [X32] :
        ( c0_1(X32)
        | ~ c3_1(X32)
        | c2_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X32] :
        ( ~ c3_1(X32)
        | c0_1(X32)
        | c2_1(X32) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( spl0_20
    | spl0_34
    | ~ spl0_23
    | spl0_54 ),
    inference(avatar_split_clause,[],[f205,f421,f295,f335,f284]) ).

fof(f425,plain,
    ( spl0_26
    | spl0_47
    | ~ spl0_23
    | spl0_54 ),
    inference(avatar_split_clause,[],[f207,f421,f295,f390,f306]) ).

fof(f427,definition,
    ( spl0_55
  <=> ! [X26] :
        ( c0_1(X26)
        | ~ c1_1(X26)
        | c2_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f428,plain,
    ( ! [X26] :
        ( c2_1(X26)
        | ~ c1_1(X26)
        | c0_1(X26) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f429,plain,
    ( spl0_6
    | ~ spl0_23
    | spl0_55 ),
    inference(avatar_split_clause,[],[f52,f427,f295,f236]) ).

fof(f432,definition,
    ( spl0_56
  <=> ! [X22] :
        ( c0_1(X22)
        | c3_1(X22)
        | c2_1(X22) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X22] :
        ( c3_1(X22)
        | c0_1(X22)
        | c2_1(X22) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f436,definition,
    ( spl0_57
  <=> ! [X21] :
        ( c0_1(X21)
        | ~ c3_1(X21)
        | c1_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X21] :
        ( ~ c3_1(X21)
        | c0_1(X21)
        | c1_1(X21) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f438,plain,
    ( spl0_2
    | spl0_41
    | ~ spl0_23
    | spl0_57 ),
    inference(avatar_split_clause,[],[f55,f436,f295,f364,f222]) ).

fof(f442,definition,
    ( spl0_58
  <=> ! [X16] :
        ( c0_1(X16)
        | ~ c2_1(X16)
        | c1_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f443,plain,
    ( ! [X16] :
        ( ~ c2_1(X16)
        | c0_1(X16)
        | c1_1(X16) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f444,plain,
    ( spl0_16
    | spl0_39
    | ~ spl0_23
    | spl0_58 ),
    inference(avatar_split_clause,[],[f211,f442,f295,f355,f270]) ).

fof(f445,plain,
    ( spl0_27
    | spl0_42
    | ~ spl0_23
    | spl0_58 ),
    inference(avatar_split_clause,[],[f212,f442,f295,f367,f310]) ).

fof(f446,plain,
    ( spl0_36
    | spl0_47
    | ~ spl0_23
    | spl0_58 ),
    inference(avatar_split_clause,[],[f213,f442,f295,f390,f344]) ).

fof(f447,plain,
    ( spl0_28
    | spl0_57
    | ~ spl0_23
    | spl0_58 ),
    inference(avatar_split_clause,[],[f214,f442,f295,f436,f313]) ).

fof(f449,definition,
    ( spl0_59
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f452,definition,
    ( spl0_60
  <=> ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f453,plain,
    ( ! [X7] :
        ( c3_1(X7)
        | c0_1(X7)
        | c1_1(X7) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f454,plain,
    ( spl0_59
    | spl0_56
    | ~ spl0_23
    | spl0_60 ),
    inference(avatar_split_clause,[],[f215,f452,f295,f432,f449]) ).

fof(f465,definition,
    ( spl0_63
  <=> c3_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f466,plain,
    ( c3_1(a337)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f468,plain,
    ( spl0_63
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f66,f266,f465]) ).

fof(f470,definition,
    ( spl0_64
  <=> c2_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f471,plain,
    ( c2_1(a337)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f472,plain,
    ( spl0_64
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f67,f266,f470]) ).

fof(f474,definition,
    ( spl0_65
  <=> c0_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f476,plain,
    ( spl0_65
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f68,f266,f474]) ).

fof(f508,definition,
    ( spl0_72
  <=> c3_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f509,plain,
    ( c3_1(a276)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f511,plain,
    ( spl0_72
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f78,f364,f508]) ).

fof(f513,definition,
    ( spl0_73
  <=> c2_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f514,plain,
    ( c2_1(a276)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f515,plain,
    ( spl0_73
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f79,f364,f513]) ).

fof(f517,definition,
    ( spl0_74
  <=> c1_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f519,plain,
    ( spl0_74
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f80,f364,f517]) ).

fof(f534,plain,
    ( spl0_23
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f85,f219,f295]) ).

fof(f536,definition,
    ( spl0_78
  <=> c3_1(a352) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f537,plain,
    ( ~ c3_1(a352)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f539,plain,
    ( ~ spl0_78
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f86,f229,f536]) ).

fof(f541,definition,
    ( spl0_79
  <=> c2_1(a352) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f542,plain,
    ( ~ c2_1(a352)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f543,plain,
    ( ~ spl0_79
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f87,f229,f541]) ).

fof(f545,definition,
    ( spl0_80
  <=> c1_1(a352) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f547,plain,
    ( spl0_80
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f88,f229,f545]) ).

fof(f564,definition,
    ( spl0_84
  <=> c3_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f565,plain,
    ( ~ c3_1(a313)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f567,plain,
    ( ~ spl0_84
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f94,f253,f564]) ).

fof(f569,definition,
    ( spl0_85
  <=> c2_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f570,plain,
    ( ~ c2_1(a313)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f571,plain,
    ( ~ spl0_85
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f95,f253,f569]) ).

fof(f573,definition,
    ( spl0_86
  <=> c1_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f575,plain,
    ( ~ spl0_86
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f96,f253,f573]) ).

fof(f578,definition,
    ( spl0_87
  <=> c3_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f579,plain,
    ( ~ c3_1(a311)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f581,plain,
    ( ~ spl0_87
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f98,f249,f578]) ).

fof(f583,definition,
    ( spl0_88
  <=> c2_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f584,plain,
    ( c2_1(a311)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f585,plain,
    ( spl0_88
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f99,f249,f583]) ).

fof(f587,definition,
    ( spl0_89
  <=> c0_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f589,plain,
    ( spl0_89
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f100,f249,f587]) ).

fof(f620,definition,
    ( spl0_96
  <=> c3_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ c3_1(a303)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f623,plain,
    ( ~ spl0_96
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f110,f239,f620]) ).

fof(f625,definition,
    ( spl0_97
  <=> c2_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f626,plain,
    ( c2_1(a303)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f627,plain,
    ( spl0_97
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f111,f239,f625]) ).

fof(f629,definition,
    ( spl0_98
  <=> c1_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f631,plain,
    ( spl0_98
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f112,f239,f629]) ).

fof(f648,definition,
    ( spl0_102
  <=> c1_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f651,plain,
    ( ~ spl0_102
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f118,f263,f648]) ).

fof(f653,definition,
    ( spl0_103
  <=> c0_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f655,plain,
    ( ~ spl0_103
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f119,f263,f653]) ).

fof(f657,definition,
    ( spl0_104
  <=> c3_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f658,plain,
    ( c3_1(a295)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f659,plain,
    ( spl0_104
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f120,f263,f657]) ).

fof(f662,definition,
    ( spl0_105
  <=> c2_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f663,plain,
    ( ~ c2_1(a293)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( ~ spl0_105
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f122,f273,f662]) ).

fof(f667,definition,
    ( spl0_106
  <=> c1_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f669,plain,
    ( spl0_106
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f123,f273,f667]) ).

fof(f671,definition,
    ( spl0_107
  <=> c0_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f673,plain,
    ( spl0_107
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f124,f273,f671]) ).

fof(f690,definition,
    ( spl0_111
  <=> c2_1(a287) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f691,plain,
    ( ~ c2_1(a287)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f693,plain,
    ( ~ spl0_111
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f130,f232,f690]) ).

fof(f695,definition,
    ( spl0_112
  <=> c0_1(a287) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f697,plain,
    ( ~ spl0_112
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f131,f232,f695]) ).

fof(f699,definition,
    ( spl0_113
  <=> c1_1(a287) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f701,plain,
    ( spl0_113
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f132,f232,f699]) ).

fof(f718,definition,
    ( spl0_117
  <=> c3_1(a284) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f719,plain,
    ( ~ c3_1(a284)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f721,plain,
    ( ~ spl0_117
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f225,f718]) ).

fof(f723,definition,
    ( spl0_118
  <=> c0_1(a284) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f725,plain,
    ( ~ spl0_118
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f139,f225,f723]) ).

fof(f727,definition,
    ( spl0_119
  <=> c2_1(a284) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f729,plain,
    ( spl0_119
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f225,f727]) ).

fof(f730,plain,
    ( spl0_23
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f141,f225,f295]) ).

fof(f732,definition,
    ( spl0_120
  <=> c1_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ spl0_120
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f142,f284,f732]) ).

fof(f737,definition,
    ( spl0_121
  <=> c0_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f739,plain,
    ( ~ spl0_121
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f143,f284,f737]) ).

fof(f741,definition,
    ( spl0_122
  <=> c2_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f742,plain,
    ( c2_1(a282)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f743,plain,
    ( spl0_122
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f144,f284,f741]) ).

fof(f760,definition,
    ( spl0_126
  <=> c1_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f763,plain,
    ( ~ spl0_126
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f150,f236,f760]) ).

fof(f765,definition,
    ( spl0_127
  <=> c3_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f766,plain,
    ( c3_1(a280)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f767,plain,
    ( spl0_127
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f151,f236,f765]) ).

fof(f769,definition,
    ( spl0_128
  <=> c2_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f770,plain,
    ( c2_1(a280)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f771,plain,
    ( spl0_128
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f152,f236,f769]) ).

fof(f774,definition,
    ( spl0_129
  <=> c3_1(a275) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f775,plain,
    ( ~ c3_1(a275)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f777,plain,
    ( ~ spl0_129
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f154,f302,f774]) ).

fof(f779,definition,
    ( spl0_130
  <=> c2_1(a275) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f780,plain,
    ( ~ c2_1(a275)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f781,plain,
    ( ~ spl0_130
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f155,f302,f779]) ).

fof(f783,definition,
    ( spl0_131
  <=> c0_1(a275) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f785,plain,
    ( ~ spl0_131
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f156,f302,f783]) ).

fof(f802,definition,
    ( spl0_135
  <=> c0_1(a273) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ spl0_135
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f162,f246,f802]) ).

fof(f807,definition,
    ( spl0_136
  <=> c2_1(a273) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f808,plain,
    ( c2_1(a273)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f809,plain,
    ( spl0_136
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f163,f246,f807]) ).

fof(f811,definition,
    ( spl0_137
  <=> c1_1(a273) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f813,plain,
    ( spl0_137
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f164,f246,f811]) ).

fof(f816,definition,
    ( spl0_138
  <=> c3_1(a272) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f817,plain,
    ( ~ c3_1(a272)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f819,plain,
    ( ~ spl0_138
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f166,f270,f816]) ).

fof(f821,definition,
    ( spl0_139
  <=> c1_1(a272) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f823,plain,
    ( ~ spl0_139
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f167,f270,f821]) ).

fof(f825,definition,
    ( spl0_140
  <=> c0_1(a272) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f827,plain,
    ( spl0_140
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f168,f270,f825]) ).

fof(f830,definition,
    ( spl0_141
  <=> c3_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f831,plain,
    ( ~ c3_1(a271)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f833,plain,
    ( ~ spl0_141
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f170,f310,f830]) ).

fof(f835,definition,
    ( spl0_142
  <=> c1_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f837,plain,
    ( ~ spl0_142
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f171,f310,f835]) ).

fof(f839,definition,
    ( spl0_143
  <=> c0_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f841,plain,
    ( ~ spl0_143
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f172,f310,f839]) ).

fof(f844,definition,
    ( spl0_144
  <=> c2_1(a270) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f845,plain,
    ( ~ c2_1(a270)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f847,plain,
    ( ~ spl0_144
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f174,f313,f844]) ).

fof(f849,definition,
    ( spl0_145
  <=> c3_1(a270) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f850,plain,
    ( c3_1(a270)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f851,plain,
    ( spl0_145
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f175,f313,f849]) ).

fof(f853,definition,
    ( spl0_146
  <=> c0_1(a270) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f855,plain,
    ( spl0_146
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f176,f313,f853]) ).

fof(f858,definition,
    ( spl0_147
  <=> c2_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f859,plain,
    ( ~ c2_1(a269)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f861,plain,
    ( ~ spl0_147
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f178,f449,f858]) ).

fof(f863,definition,
    ( spl0_148
  <=> c1_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f865,plain,
    ( ~ spl0_148
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f179,f449,f863]) ).

fof(f867,definition,
    ( spl0_149
  <=> c0_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f869,plain,
    ( spl0_149
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f180,f449,f867]) ).

fof(f872,definition,
    ( spl0_150
  <=> c2_1(a268) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f875,plain,
    ( ~ spl0_150
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f182,f222,f872]) ).

fof(f877,definition,
    ( spl0_151
  <=> c1_1(a268) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ spl0_151
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f183,f222,f877]) ).

fof(f881,definition,
    ( spl0_152
  <=> c3_1(a268) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f882,plain,
    ( c3_1(a268)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f883,plain,
    ( spl0_152
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f184,f222,f881]) ).

fof(f884,plain,
    ( spl0_23
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f185,f222,f295]) ).

fof(f886,definition,
    ( spl0_153
  <=> c3_1(a267) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f887,plain,
    ( ~ c3_1(a267)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f889,plain,
    ( ~ spl0_153
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f186,f242,f886]) ).

fof(f891,definition,
    ( spl0_154
  <=> c2_1(a267) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f892,plain,
    ( ~ c2_1(a267)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f893,plain,
    ( ~ spl0_154
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f187,f242,f891]) ).

fof(f895,definition,
    ( spl0_155
  <=> c0_1(a267) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f897,plain,
    ( spl0_155
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f188,f242,f895]) ).

fof(f903,definition,
    ( spl0_156
  <=> c1_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f910,plain,
    ( ~ c2_1(a311)
    | ~ c0_1(a311)
    | ~ spl0_31
    | spl0_87 ),
    inference(resolution,[],[f324,f579]) ).

fof(f915,plain,
    ( ~ spl0_89
    | ~ spl0_88
    | ~ spl0_31
    | spl0_87 ),
    inference(avatar_split_clause,[],[f910,f578,f323,f583,f587]) ).

fof(f917,definition,
    ( spl0_157
  <=> c0_1(a303) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f923,plain,
    ( ~ c0_1(a303)
    | ~ c1_1(a303)
    | ~ spl0_29
    | ~ spl0_97 ),
    inference(resolution,[],[f317,f626]) ).

fof(f924,plain,
    ( ~ c0_1(a311)
    | ~ c1_1(a311)
    | ~ spl0_29
    | ~ spl0_88 ),
    inference(resolution,[],[f317,f584]) ).

fof(f932,definition,
    ( spl0_158
  <=> c1_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f934,plain,
    ( ~ spl0_158
    | ~ spl0_89
    | ~ spl0_29
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f924,f583,f316,f587,f932]) ).

fof(f936,plain,
    ( ~ spl0_98
    | ~ spl0_157
    | ~ spl0_29
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f923,f625,f316,f917,f629]) ).

fof(f956,plain,
    ( c1_1(a337)
    | ~ c2_1(a337)
    | ~ spl0_35
    | ~ spl0_63 ),
    inference(resolution,[],[f340,f466]) ).

fof(f960,plain,
    ( ~ spl0_64
    | spl0_156
    | ~ spl0_35
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f956,f465,f339,f903,f470]) ).

fof(f961,plain,
    ( c1_1(a295)
    | ~ c2_1(a295)
    | ~ spl0_35
    | ~ spl0_104 ),
    inference(resolution,[],[f658,f340]) ).

fof(f964,definition,
    ( spl0_159
  <=> c2_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f967,plain,
    ( ~ spl0_159
    | spl0_102
    | ~ spl0_35
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f961,f657,f339,f648,f964]) ).

fof(f972,plain,
    ( ~ c2_1(a303)
    | ~ c1_1(a303)
    | ~ spl0_37
    | spl0_96 ),
    inference(resolution,[],[f349,f621]) ).

fof(f981,definition,
    ( spl0_160
  <=> c1_1(a284) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f989,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(resolution,[],[f356,f352]) ).

fof(f998,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f989]) ).

fof(f1001,definition,
    ( spl0_161
  <=> c0_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1004,plain,
    ( spl0_44
    | ~ spl0_38
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f998,f355,f351,f377]) ).

fof(f1008,plain,
    ( c1_1(a311)
    | ~ c0_1(a311)
    | ~ spl0_40
    | ~ spl0_88 ),
    inference(resolution,[],[f360,f584]) ).

fof(f1020,plain,
    ( ~ spl0_89
    | spl0_158
    | ~ spl0_40
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1008,f583,f359,f932,f587]) ).

fof(f1023,plain,
    ( c1_1(a280)
    | ~ c2_1(a280)
    | ~ spl0_35
    | ~ spl0_127 ),
    inference(resolution,[],[f766,f340]) ).

fof(f1027,plain,
    ( ~ spl0_128
    | spl0_126
    | ~ spl0_35
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1023,f765,f339,f760,f769]) ).

fof(f1029,definition,
    ( spl0_163
  <=> c0_1(a280) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1034,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(resolution,[],[f372,f356]) ).

fof(f1039,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1034]) ).

fof(f1043,plain,
    ( spl0_44
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1039,f371,f355,f377]) ).

fof(f1050,definition,
    ( spl0_164
  <=> c1_1(a275) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1059,plain,
    ( ~ c1_1(a293)
    | ~ c0_1(a293)
    | ~ spl0_36
    | spl0_105 ),
    inference(resolution,[],[f345,f663]) ).

fof(f1074,plain,
    ( ~ spl0_98
    | ~ spl0_97
    | ~ spl0_37
    | spl0_96 ),
    inference(avatar_split_clause,[],[f972,f620,f348,f625,f629]) ).

fof(f1075,plain,
    ( ~ c0_1(a267)
    | c2_1(a267)
    | ~ spl0_39
    | spl0_153 ),
    inference(resolution,[],[f887,f356]) ).

fof(f1076,plain,
    ( ~ c1_1(a267)
    | ~ c0_1(a267)
    | ~ spl0_33
    | spl0_153 ),
    inference(resolution,[],[f887,f332]) ).

fof(f1079,definition,
    ( spl0_166
  <=> c1_1(a267) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1081,plain,
    ( ~ spl0_155
    | ~ spl0_166
    | ~ spl0_33
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1076,f886,f331,f1079,f895]) ).

fof(f1083,plain,
    ( spl0_154
    | ~ spl0_155
    | ~ spl0_39
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1075,f886,f355,f895,f891]) ).

fof(f1102,plain,
    ( ~ c2_1(a284)
    | ~ c1_1(a284)
    | ~ spl0_37
    | spl0_117 ),
    inference(resolution,[],[f349,f719]) ).

fof(f1109,plain,
    ( ~ spl0_160
    | ~ spl0_119
    | ~ spl0_37
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1102,f718,f348,f727,f981]) ).

fof(f1116,plain,
    ( ~ c0_1(a272)
    | c1_1(a272)
    | ~ spl0_42
    | spl0_138 ),
    inference(resolution,[],[f368,f817]) ).

fof(f1127,plain,
    ( spl0_139
    | ~ spl0_140
    | ~ spl0_42
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1116,f816,f367,f825,f821]) ).

fof(f1133,plain,
    ( ~ c1_1(a276)
    | ~ c2_1(a276)
    | ~ spl0_24
    | ~ spl0_72 ),
    inference(resolution,[],[f509,f299]) ).

fof(f1136,plain,
    ( ~ spl0_73
    | ~ spl0_74
    | ~ spl0_24
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1133,f508,f298,f517,f513]) ).

fof(f1139,definition,
    ( spl0_167
  <=> c0_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1144,plain,
    ( ~ c0_1(a276)
    | ~ c1_1(a276)
    | ~ spl0_29
    | ~ spl0_73 ),
    inference(resolution,[],[f514,f317]) ).

fof(f1145,plain,
    ( ~ spl0_74
    | ~ spl0_167
    | ~ spl0_29
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1144,f513,f316,f1139,f517]) ).

fof(f1194,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_45 ),
    inference(resolution,[],[f383,f307]) ).

fof(f1207,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_26
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1194]) ).

fof(f1215,plain,
    ( spl0_36
    | ~ spl0_26
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1207,f382,f306,f344]) ).

fof(f1262,definition,
    ( spl0_172
  <=> c2_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1293,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(resolution,[],[f391,f383]) ).

fof(f1297,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1293]) ).

fof(f1304,plain,
    ( spl0_55
    | ~ spl0_45
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1297,f390,f382,f427]) ).

fof(f1305,plain,
    ( c0_1(a273)
    | ~ c1_1(a273)
    | ~ spl0_49
    | ~ spl0_136 ),
    inference(resolution,[],[f399,f808]) ).

fof(f1323,plain,
    ( ~ spl0_137
    | spl0_135
    | ~ spl0_49
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1305,f807,f398,f802,f811]) ).

fof(f1327,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_51 ),
    inference(resolution,[],[f408,f340]) ).

fof(f1333,plain,
    ( ~ c2_1(a284)
    | c0_1(a284)
    | ~ spl0_51
    | spl0_117 ),
    inference(resolution,[],[f408,f719]) ).

fof(f1338,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_35
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1327]) ).

fof(f1350,plain,
    ( spl0_58
    | ~ spl0_35
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1338,f407,f339,f442]) ).

fof(f1352,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_45
    | ~ spl0_54 ),
    inference(resolution,[],[f422,f383]) ).

fof(f1356,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_45
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1352]) ).

fof(f1357,plain,
    ( spl0_55
    | ~ spl0_45
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1356,f421,f382,f427]) ).

fof(f1362,plain,
    ( ~ c1_1(a287)
    | c0_1(a287)
    | ~ spl0_55
    | spl0_111 ),
    inference(resolution,[],[f428,f691]) ).

fof(f1380,plain,
    ( spl0_118
    | ~ spl0_119
    | ~ spl0_51
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1333,f718,f407,f727,f723]) ).

fof(f1395,definition,
    ( spl0_173
  <=> c0_1(a352) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1434,plain,
    ( ~ c0_1(a337)
    | ~ c1_1(a337)
    | ~ spl0_26
    | ~ spl0_63 ),
    inference(resolution,[],[f307,f466]) ).

fof(f1436,plain,
    ( ~ spl0_156
    | ~ spl0_65
    | ~ spl0_26
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1434,f465,f306,f474,f903]) ).

fof(f1441,plain,
    ( c1_1(a280)
    | ~ c0_1(a280)
    | ~ spl0_38
    | ~ spl0_127 ),
    inference(resolution,[],[f352,f766]) ).

fof(f1489,plain,
    ( ~ c2_1(a271)
    | c0_1(a271)
    | ~ spl0_51
    | spl0_141 ),
    inference(resolution,[],[f408,f831]) ).

fof(f1499,plain,
    ( spl0_143
    | ~ spl0_172
    | ~ spl0_51
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1489,f830,f407,f1262,f839]) ).

fof(f1523,plain,
    ( c0_1(a271)
    | c2_1(a271)
    | ~ spl0_56
    | spl0_141 ),
    inference(resolution,[],[f433,f831]) ).

fof(f1526,plain,
    ( c0_1(a275)
    | c2_1(a275)
    | ~ spl0_56
    | spl0_129 ),
    inference(resolution,[],[f433,f775]) ).

fof(f1529,plain,
    ( c0_1(a313)
    | c2_1(a313)
    | ~ spl0_56
    | spl0_84 ),
    inference(resolution,[],[f433,f565]) ).

fof(f1546,plain,
    ( c0_1(a280)
    | c1_1(a280)
    | ~ spl0_57
    | ~ spl0_127 ),
    inference(resolution,[],[f437,f766]) ).

fof(f1561,plain,
    ( c0_1(a282)
    | c1_1(a282)
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(resolution,[],[f443,f742]) ).

fof(f1575,plain,
    ( spl0_120
    | spl0_121
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1561,f741,f442,f737,f732]) ).

fof(f1585,definition,
    ( spl0_176
  <=> c1_1(a270) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1589,plain,
    ( c1_1(a270)
    | ~ c0_1(a270)
    | ~ spl0_38
    | ~ spl0_145 ),
    inference(resolution,[],[f850,f352]) ).

fof(f1591,plain,
    ( c1_1(a270)
    | c2_1(a270)
    | ~ spl0_43
    | ~ spl0_145 ),
    inference(resolution,[],[f850,f372]) ).

fof(f1592,plain,
    ( c2_1(a270)
    | ~ c1_1(a270)
    | ~ spl0_34
    | ~ spl0_145 ),
    inference(resolution,[],[f850,f336]) ).

fof(f1605,plain,
    ( c0_1(a295)
    | c2_1(a295)
    | ~ spl0_54
    | ~ spl0_104 ),
    inference(resolution,[],[f658,f422]) ).

fof(f1618,plain,
    ( ~ c0_1(a337)
    | ~ c1_1(a337)
    | ~ spl0_29
    | ~ spl0_64 ),
    inference(resolution,[],[f317,f471]) ).

fof(f1620,plain,
    ( ~ spl0_156
    | ~ spl0_65
    | ~ spl0_29
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1618,f470,f316,f474,f903]) ).

fof(f1623,plain,
    ( ~ c1_1(a267)
    | ~ c0_1(a267)
    | ~ spl0_36
    | spl0_154 ),
    inference(resolution,[],[f345,f892]) ).

fof(f1625,plain,
    ( ~ c1_1(a270)
    | ~ c0_1(a270)
    | ~ spl0_36
    | spl0_144 ),
    inference(resolution,[],[f345,f845]) ).

fof(f1631,plain,
    ( ~ c1_1(a352)
    | ~ c0_1(a352)
    | ~ spl0_36
    | spl0_79 ),
    inference(resolution,[],[f345,f542]) ).

fof(f1635,plain,
    ( ~ spl0_173
    | ~ spl0_80
    | ~ spl0_36
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1631,f541,f344,f545,f1395]) ).

fof(f1637,plain,
    ( ~ spl0_146
    | ~ spl0_176
    | ~ spl0_36
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1625,f844,f344,f1585,f853]) ).

fof(f1654,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(resolution,[],[f391,f349]) ).

fof(f1655,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_47
    | ~ spl0_51 ),
    inference(resolution,[],[f391,f408]) ).

fof(f1662,plain,
    ( c0_1(a276)
    | ~ c1_1(a276)
    | ~ spl0_47
    | ~ spl0_72 ),
    inference(resolution,[],[f391,f509]) ).

fof(f1664,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_47
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1655]) ).

fof(f1665,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1654]) ).

fof(f1667,plain,
    ( ~ spl0_74
    | spl0_167
    | ~ spl0_47
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1662,f508,f390,f1139,f517]) ).

fof(f1669,plain,
    ( spl0_49
    | ~ spl0_47
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1664,f407,f390,f398]) ).

fof(f1670,plain,
    ( spl0_49
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1665,f390,f348,f398]) ).

fof(f1674,plain,
    ( ~ spl0_176
    | spl0_144
    | ~ spl0_34
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1592,f849,f335,f844,f1585]) ).

fof(f1692,plain,
    ( spl0_159
    | spl0_103
    | ~ spl0_54
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1605,f657,f421,f653,f964]) ).

fof(f1696,plain,
    ( spl0_112
    | ~ spl0_113
    | ~ spl0_55
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1362,f690,f427,f699,f695]) ).

fof(f1707,plain,
    ( ~ c2_1(a311)
    | ~ c1_1(a311)
    | ~ spl0_37
    | spl0_87 ),
    inference(resolution,[],[f579,f349]) ).

fof(f1710,plain,
    ( ~ spl0_158
    | ~ spl0_88
    | ~ spl0_37
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1707,f578,f348,f583,f932]) ).

fof(f1750,plain,
    ( ~ c0_1(a311)
    | c1_1(a311)
    | ~ spl0_42
    | spl0_87 ),
    inference(resolution,[],[f368,f579]) ).

fof(f1754,plain,
    ( spl0_158
    | ~ spl0_89
    | ~ spl0_42
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1750,f578,f367,f587,f932]) ).

fof(f1761,plain,
    ( c1_1(a268)
    | c2_1(a268)
    | ~ spl0_43
    | ~ spl0_152 ),
    inference(resolution,[],[f372,f882]) ).

fof(f1762,plain,
    ( c1_1(a295)
    | c2_1(a295)
    | ~ spl0_43
    | ~ spl0_104 ),
    inference(resolution,[],[f372,f658]) ).

fof(f1764,plain,
    ( spl0_159
    | spl0_102
    | ~ spl0_43
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1762,f657,f371,f648,f964]) ).

fof(f1765,plain,
    ( spl0_150
    | spl0_151
    | ~ spl0_43
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1761,f881,f371,f877,f872]) ).

fof(f1769,plain,
    ( c0_1(a303)
    | ~ c1_1(a303)
    | ~ spl0_49
    | ~ spl0_97 ),
    inference(resolution,[],[f399,f626]) ).

fof(f1772,plain,
    ( c0_1(a276)
    | ~ c1_1(a276)
    | ~ spl0_49
    | ~ spl0_73 ),
    inference(resolution,[],[f399,f514]) ).

fof(f1775,plain,
    ( ~ spl0_74
    | spl0_167
    | ~ spl0_49
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1772,f513,f398,f1139,f517]) ).

fof(f1794,plain,
    ( ~ c1_1(a275)
    | c0_1(a275)
    | ~ spl0_53
    | spl0_129 ),
    inference(resolution,[],[f418,f775]) ).

fof(f1818,plain,
    ( ~ c1_1(a275)
    | c0_1(a275)
    | ~ spl0_55
    | spl0_130 ),
    inference(resolution,[],[f428,f780]) ).

fof(f1821,plain,
    ( ~ c1_1(a287)
    | c0_1(a287)
    | ~ spl0_55
    | spl0_111 ),
    inference(resolution,[],[f428,f691]) ).

fof(f1826,plain,
    ( ~ c1_1(a352)
    | c0_1(a352)
    | ~ spl0_55
    | spl0_79 ),
    inference(resolution,[],[f428,f542]) ).

fof(f1829,plain,
    ( spl0_173
    | ~ spl0_80
    | ~ spl0_55
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1826,f541,f427,f545,f1395]) ).

fof(f1831,plain,
    ( spl0_112
    | ~ spl0_113
    | ~ spl0_55
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1821,f690,f427,f699,f695]) ).

fof(f1857,plain,
    ( ~ spl0_98
    | spl0_157
    | ~ spl0_49
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1769,f625,f398,f917,f629]) ).

fof(f1862,plain,
    ( c1_1(a337)
    | ~ c0_1(a337)
    | ~ spl0_38
    | ~ spl0_63 ),
    inference(resolution,[],[f466,f352]) ).

fof(f1863,plain,
    ( ~ spl0_65
    | spl0_156
    | ~ spl0_38
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1862,f465,f351,f903,f474]) ).

fof(f1888,plain,
    ( ~ c1_1(a352)
    | c2_1(a352)
    | ~ spl0_45
    | spl0_78 ),
    inference(resolution,[],[f383,f537]) ).

fof(f1901,plain,
    ( ~ c0_1(a267)
    | c1_1(a267)
    | ~ spl0_44
    | spl0_154 ),
    inference(resolution,[],[f378,f892]) ).

fof(f1909,plain,
    ( ~ c0_1(a313)
    | c1_1(a313)
    | ~ spl0_44
    | spl0_85 ),
    inference(resolution,[],[f378,f570]) ).

fof(f1915,plain,
    ( spl0_166
    | ~ spl0_155
    | ~ spl0_44
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1901,f891,f377,f895,f1079]) ).

fof(f1918,plain,
    ( c0_1(a280)
    | c1_1(a280)
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f443,f770]) ).

fof(f1930,plain,
    ( spl0_126
    | spl0_163
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1918,f769,f442,f1029,f760]) ).

fof(f1936,plain,
    ( c0_1(a271)
    | c1_1(a271)
    | ~ spl0_60
    | spl0_141 ),
    inference(resolution,[],[f453,f831]) ).

fof(f1938,plain,
    ( c0_1(a275)
    | c1_1(a275)
    | ~ spl0_60
    | spl0_129 ),
    inference(resolution,[],[f453,f775]) ).

fof(f1939,plain,
    ( c0_1(a284)
    | c1_1(a284)
    | ~ spl0_60
    | spl0_117 ),
    inference(resolution,[],[f453,f719]) ).

fof(f1943,plain,
    ( c0_1(a313)
    | c1_1(a313)
    | ~ spl0_60
    | spl0_84 ),
    inference(resolution,[],[f453,f565]) ).

fof(f1955,plain,
    ( ~ c0_1(a269)
    | c1_1(a269)
    | ~ spl0_44
    | spl0_147 ),
    inference(resolution,[],[f859,f378]) ).

fof(f1960,plain,
    ( spl0_148
    | ~ spl0_149
    | ~ spl0_44
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1955,f858,f377,f867,f863]) ).

fof(f1961,plain,
    ( spl0_142
    | spl0_143
    | ~ spl0_60
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1936,f830,f452,f839,f835]) ).

fof(f1962,plain,
    ( spl0_164
    | spl0_131
    | ~ spl0_60
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1938,f774,f452,f783,f1050]) ).

fof(f1963,plain,
    ( spl0_160
    | spl0_118
    | ~ spl0_60
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1939,f718,f452,f723,f981]) ).

fof(f1964,plain,
    ( spl0_86
    | spl0_161
    | ~ spl0_60
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1943,f564,f452,f1001,f573]) ).

fof(f1965,plain,
    ( ~ spl0_146
    | spl0_176
    | ~ spl0_38
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1589,f849,f351,f1585,f853]) ).

fof(f1967,plain,
    ( spl0_144
    | spl0_176
    | ~ spl0_43
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1591,f849,f371,f1585,f844]) ).

fof(f1970,plain,
    ( spl0_131
    | ~ spl0_164
    | ~ spl0_53
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1794,f774,f417,f1050,f783]) ).

fof(f1971,plain,
    ( spl0_131
    | ~ spl0_164
    | ~ spl0_55
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1818,f779,f427,f1050,f783]) ).

fof(f1974,plain,
    ( spl0_86
    | ~ spl0_161
    | ~ spl0_44
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1909,f569,f377,f1001,f573]) ).

fof(f1979,plain,
    ( ~ spl0_107
    | ~ spl0_106
    | ~ spl0_36
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1059,f662,f344,f667,f671]) ).

fof(f1982,plain,
    ( ~ spl0_155
    | ~ spl0_166
    | ~ spl0_36
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1623,f891,f344,f1079,f895]) ).

fof(f1993,plain,
    ( spl0_79
    | ~ spl0_80
    | ~ spl0_45
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1888,f536,f382,f545,f541]) ).

fof(f2002,plain,
    ( spl0_172
    | spl0_143
    | ~ spl0_56
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1523,f830,f432,f839,f1262]) ).

fof(f2003,plain,
    ( spl0_130
    | spl0_131
    | ~ spl0_56
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1526,f774,f432,f783,f779]) ).

fof(f2006,plain,
    ( spl0_85
    | spl0_161
    | ~ spl0_56
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1529,f564,f432,f1001,f569]) ).

fof(f2009,plain,
    ( ~ spl0_163
    | spl0_126
    | ~ spl0_38
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1441,f765,f351,f760,f1029]) ).

fof(f2010,plain,
    ( spl0_126
    | spl0_163
    | ~ spl0_57
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1546,f765,f436,f1029,f760]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f227]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f234]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f244]) ).

cnf(s4,plain,
    ( spl0_6
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f251]) ).

cnf(s6,plain,
    ( spl0_5
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s14,plain,
    ( ~ spl0_23
    | spl0_27
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f318]) ).

cnf(s16,plain,
    ( spl0_8
    | ~ spl0_23
    | spl0_29
    | spl0_31 ),
    inference(sat_conversion,[],[f326]) ).

cnf(s18,plain,
    ( spl0_11
    | ~ spl0_23
    | spl0_26
    | spl0_34 ),
    inference(sat_conversion,[],[f337]) ).

cnf(s19,plain,
    ( spl0_8
    | spl0_10
    | ~ spl0_23
    | spl0_35 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s21,plain,
    ( ~ spl0_23
    | spl0_25
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s23,plain,
    ( spl0_2
    | ~ spl0_23
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s25,plain,
    ( ~ spl0_23
    | spl0_24
    | spl0_38
    | spl0_40 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s26,plain,
    ( spl0_7
    | ~ spl0_23
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s27,plain,
    ( ~ spl0_23
    | spl0_25
    | spl0_43 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s29,plain,
    ( ~ spl0_23
    | spl0_36
    | spl0_37
    | spl0_43 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s32,plain,
    ( ~ spl0_23
    | spl0_39
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s34,plain,
    ( spl0_8
    | spl0_14
    | ~ spl0_23
    | spl0_47 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s35,plain,
    ( spl0_17
    | ~ spl0_23
    | spl0_38
    | spl0_47 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s38,plain,
    ( ~ spl0_23
    | spl0_31
    | spl0_42
    | spl0_49 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s39,plain,
    ( spl0_2
    | ~ spl0_23
    | spl0_27
    | spl0_51 ),
    inference(sat_conversion,[],[f409]) ).

cnf(s40,plain,
    ( spl0_5
    | ~ spl0_23
    | spl0_51 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s43,plain,
    ( ~ spl0_23
    | spl0_33
    | spl0_38
    | spl0_53 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s44,plain,
    ( spl0_20
    | ~ spl0_23
    | spl0_34
    | spl0_54 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s46,plain,
    ( ~ spl0_23
    | spl0_26
    | spl0_47
    | spl0_54 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s47,plain,
    ( spl0_6
    | ~ spl0_23
    | spl0_55 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s50,plain,
    ( spl0_2
    | ~ spl0_23
    | spl0_41
    | spl0_57 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s53,plain,
    ( spl0_16
    | ~ spl0_23
    | spl0_39
    | spl0_58 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s54,plain,
    ( ~ spl0_23
    | spl0_27
    | spl0_42
    | spl0_58 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s55,plain,
    ( ~ spl0_23
    | spl0_36
    | spl0_47
    | spl0_58 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s56,plain,
    ( ~ spl0_23
    | spl0_28
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s57,plain,
    ( ~ spl0_23
    | spl0_56
    | spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s61,plain,
    ( ~ spl0_15
    | spl0_63 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s62,plain,
    ( ~ spl0_15
    | spl0_64 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s63,plain,
    ( ~ spl0_15
    | spl0_65 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s73,plain,
    ( ~ spl0_41
    | spl0_72 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s74,plain,
    ( ~ spl0_41
    | spl0_73 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s75,plain,
    ( ~ spl0_41
    | spl0_74 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s80,plain,
    ( ~ spl0_1
    | spl0_23 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s81,plain,
    ( ~ spl0_4
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s82,plain,
    ( ~ spl0_4
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s83,plain,
    ( ~ spl0_4
    | spl0_80 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s89,plain,
    ( ~ spl0_11
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s90,plain,
    ( ~ spl0_11
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s91,plain,
    ( ~ spl0_11
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s93,plain,
    ( ~ spl0_10
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s94,plain,
    ( ~ spl0_10
    | spl0_88 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s95,plain,
    ( ~ spl0_10
    | spl0_89 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s105,plain,
    ( ~ spl0_7
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s106,plain,
    ( ~ spl0_7
    | spl0_97 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s107,plain,
    ( ~ spl0_7
    | spl0_98 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s113,plain,
    ( ~ spl0_14
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s114,plain,
    ( ~ spl0_14
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s115,plain,
    ( ~ spl0_14
    | spl0_104 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s117,plain,
    ( ~ spl0_17
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s118,plain,
    ( ~ spl0_17
    | spl0_106 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s119,plain,
    ( ~ spl0_17
    | spl0_107 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s125,plain,
    ( ~ spl0_5
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s126,plain,
    ( ~ spl0_5
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s127,plain,
    ( ~ spl0_5
    | spl0_113 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s133,plain,
    ( ~ spl0_3
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s134,plain,
    ( ~ spl0_3
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s135,plain,
    ( ~ spl0_3
    | spl0_119 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s136,plain,
    ( ~ spl0_3
    | spl0_23 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s137,plain,
    ( ~ spl0_20
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s138,plain,
    ( ~ spl0_20
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s139,plain,
    ( ~ spl0_20
    | spl0_122 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s145,plain,
    ( ~ spl0_6
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s146,plain,
    ( ~ spl0_6
    | spl0_127 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s147,plain,
    ( ~ spl0_6
    | spl0_128 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s149,plain,
    ( ~ spl0_25
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s150,plain,
    ( ~ spl0_25
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s151,plain,
    ( ~ spl0_25
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s157,plain,
    ( ~ spl0_9
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s158,plain,
    ( ~ spl0_9
    | spl0_136 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s159,plain,
    ( ~ spl0_9
    | spl0_137 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s161,plain,
    ( ~ spl0_16
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s162,plain,
    ( ~ spl0_16
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s163,plain,
    ( ~ spl0_16
    | spl0_140 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s165,plain,
    ( ~ spl0_27
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s166,plain,
    ( ~ spl0_27
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s167,plain,
    ( ~ spl0_27
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s169,plain,
    ( ~ spl0_28
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s170,plain,
    ( ~ spl0_28
    | spl0_145 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s171,plain,
    ( ~ spl0_28
    | spl0_146 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s173,plain,
    ( ~ spl0_59
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s174,plain,
    ( ~ spl0_59
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s175,plain,
    ( ~ spl0_59
    | spl0_149 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s177,plain,
    ( ~ spl0_2
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s178,plain,
    ( ~ spl0_2
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s179,plain,
    ( ~ spl0_2
    | spl0_152 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s180,plain,
    ( ~ spl0_2
    | spl0_23 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s181,plain,
    ( ~ spl0_8
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s182,plain,
    ( ~ spl0_8
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s183,plain,
    ( ~ spl0_8
    | spl0_155 ),
    inference(sat_conversion,[],[f897]) ).

cnf(s186,plain,
    ( ~ spl0_31
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s190,plain,
    ( ~ spl0_29
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s191,plain,
    ( ~ spl0_29
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s196,plain,
    ( ~ spl0_35
    | ~ spl0_63
    | ~ spl0_64
    | spl0_156 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s197,plain,
    ( ~ spl0_35
    | spl0_102
    | ~ spl0_104
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f967]) ).

cnf(s202,plain,
    ( ~ spl0_38
    | ~ spl0_39
    | spl0_44 ),
    inference(sat_conversion,[],[f1004]) ).

cnf(s205,plain,
    ( ~ spl0_40
    | ~ spl0_88
    | ~ spl0_89
    | spl0_158 ),
    inference(sat_conversion,[],[f1020]) ).

cnf(s207,plain,
    ( ~ spl0_35
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s211,plain,
    ( ~ spl0_39
    | ~ spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s217,plain,
    ( ~ spl0_37
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s218,plain,
    ( ~ spl0_33
    | spl0_153
    | ~ spl0_155
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s219,plain,
    ( ~ spl0_39
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s222,plain,
    ( ~ spl0_37
    | spl0_117
    | ~ spl0_119
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s224,plain,
    ( ~ spl0_42
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1127]) ).

cnf(s226,plain,
    ( ~ spl0_24
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s230,plain,
    ( ~ spl0_29
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1145]) ).

cnf(s246,plain,
    ( ~ spl0_26
    | spl0_36
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f1215]) ).

cnf(s270,plain,
    ( ~ spl0_45
    | ~ spl0_47
    | spl0_55 ),
    inference(sat_conversion,[],[f1304]) ).

cnf(s276,plain,
    ( ~ spl0_49
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1323]) ).

cnf(s283,plain,
    ( ~ spl0_35
    | ~ spl0_51
    | spl0_58 ),
    inference(sat_conversion,[],[f1350]) ).

cnf(s284,plain,
    ( ~ spl0_45
    | ~ spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f1357]) ).

cnf(s294,plain,
    ( ~ spl0_51
    | spl0_117
    | spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1380]) ).

cnf(s314,plain,
    ( ~ spl0_26
    | ~ spl0_63
    | ~ spl0_65
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1436]) ).

cnf(s328,plain,
    ( ~ spl0_51
    | spl0_141
    | spl0_143
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1499]) ).

cnf(s346,plain,
    ( ~ spl0_58
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1575]) ).

cnf(s365,plain,
    ( ~ spl0_29
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1620]) ).

cnf(s366,plain,
    ( ~ spl0_36
    | spl0_79
    | ~ spl0_80
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1635]) ).

cnf(s368,plain,
    ( ~ spl0_36
    | spl0_144
    | ~ spl0_146
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s375,plain,
    ( ~ spl0_47
    | ~ spl0_72
    | ~ spl0_74
    | spl0_167 ),
    inference(sat_conversion,[],[f1667]) ).

cnf(s377,plain,
    ( ~ spl0_47
    | spl0_49
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f1669]) ).

cnf(s378,plain,
    ( ~ spl0_37
    | ~ spl0_47
    | spl0_49 ),
    inference(sat_conversion,[],[f1670]) ).

cnf(s382,plain,
    ( ~ spl0_34
    | spl0_144
    | ~ spl0_145
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1674]) ).

cnf(s400,plain,
    ( ~ spl0_54
    | spl0_103
    | ~ spl0_104
    | spl0_159 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s404,plain,
    ( ~ spl0_55
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1696]) ).

cnf(s417,plain,
    ( ~ spl0_37
    | spl0_87
    | ~ spl0_88
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1710]) ).

cnf(s426,plain,
    ( ~ spl0_42
    | spl0_87
    | ~ spl0_89
    | spl0_158 ),
    inference(sat_conversion,[],[f1754]) ).

cnf(s431,plain,
    ( ~ spl0_43
    | spl0_102
    | ~ spl0_104
    | spl0_159 ),
    inference(sat_conversion,[],[f1764]) ).

cnf(s432,plain,
    ( ~ spl0_43
    | spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s433,plain,
    ( ~ spl0_49
    | ~ spl0_73
    | ~ spl0_74
    | spl0_167 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s443,plain,
    ( ~ spl0_55
    | spl0_79
    | ~ spl0_80
    | spl0_173 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s445,plain,
    ( ~ spl0_55
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1831]) ).

cnf(s462,plain,
    ( ~ spl0_49
    | ~ spl0_97
    | ~ spl0_98
    | spl0_157 ),
    inference(sat_conversion,[],[f1857]) ).

cnf(s464,plain,
    ( ~ spl0_38
    | ~ spl0_63
    | ~ spl0_65
    | spl0_156 ),
    inference(sat_conversion,[],[f1863]) ).

cnf(s480,plain,
    ( ~ spl0_44
    | spl0_154
    | ~ spl0_155
    | spl0_166 ),
    inference(sat_conversion,[],[f1915]) ).

cnf(s482,plain,
    ( ~ spl0_58
    | spl0_126
    | ~ spl0_128
    | spl0_163 ),
    inference(sat_conversion,[],[f1930]) ).

cnf(s490,plain,
    ( ~ spl0_44
    | spl0_147
    | spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1960]) ).

cnf(s493,plain,
    ( ~ spl0_60
    | spl0_141
    | spl0_142
    | spl0_143 ),
    inference(sat_conversion,[],[f1961]) ).

cnf(s494,plain,
    ( ~ spl0_60
    | spl0_129
    | spl0_131
    | spl0_164 ),
    inference(sat_conversion,[],[f1962]) ).

cnf(s495,plain,
    ( ~ spl0_60
    | spl0_117
    | spl0_118
    | spl0_160 ),
    inference(sat_conversion,[],[f1963]) ).

cnf(s496,plain,
    ( ~ spl0_60
    | spl0_84
    | spl0_86
    | spl0_161 ),
    inference(sat_conversion,[],[f1964]) ).

cnf(s497,plain,
    ( ~ spl0_38
    | ~ spl0_145
    | ~ spl0_146
    | spl0_176 ),
    inference(sat_conversion,[],[f1965]) ).

cnf(s499,plain,
    ( ~ spl0_43
    | spl0_144
    | ~ spl0_145
    | spl0_176 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s502,plain,
    ( ~ spl0_53
    | spl0_129
    | spl0_131
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1970]) ).

cnf(s503,plain,
    ( ~ spl0_55
    | spl0_130
    | spl0_131
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1971]) ).

cnf(s506,plain,
    ( ~ spl0_44
    | spl0_85
    | spl0_86
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1974]) ).

cnf(s512,plain,
    ( ~ spl0_36
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1979]) ).

cnf(s515,plain,
    ( ~ spl0_36
    | spl0_154
    | ~ spl0_155
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1982]) ).

cnf(s526,plain,
    ( ~ spl0_45
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f1993]) ).

cnf(s536,plain,
    ( ~ spl0_56
    | spl0_141
    | spl0_143
    | spl0_172 ),
    inference(sat_conversion,[],[f2002]) ).

cnf(s537,plain,
    ( ~ spl0_56
    | spl0_129
    | spl0_130
    | spl0_131 ),
    inference(sat_conversion,[],[f2003]) ).

cnf(s540,plain,
    ( ~ spl0_56
    | spl0_84
    | spl0_85
    | spl0_161 ),
    inference(sat_conversion,[],[f2006]) ).

cnf(s543,plain,
    ( ~ spl0_38
    | spl0_126
    | ~ spl0_127
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2009]) ).

cnf(s544,plain,
    ( ~ spl0_57
    | spl0_126
    | ~ spl0_127
    | spl0_163 ),
    inference(sat_conversion,[],[f2010]) ).

cnf(s545,plain,
    ( spl0_8
    | spl0_7
    | ~ spl0_3 ),
    inference(rat,[],[s230,s433,s74,s75,s26,s38,s426,s190,s16,s186,s93,s94,s95,s19,s207,s145,s146,s147,s47,s445,s125,s126,s127,s40,s294,s133,s134,s135,s136]) ).

cnf(s546,plain,
    ( spl0_39
    | spl0_60
    | spl0_55
    | ~ spl0_23
    | spl0_2 ),
    inference(rat,[],[s490,s173,s174,s175,s57,s32,s537,s270,s149,s150,s151,s55,s21,s368,s497,s169,s170,s171,s56,s482,s544,s543,s23,s207,s145,s146,s147,s47]) ).

cnf(s547,plain,
    ( spl0_8
    | ~ spl0_3 ),
    inference(rat,[],[s38,s462,s426,s191,s190,s16,s186,s106,s107,s93,s94,s95,s545,s19,s207,s145,s146,s147,s47,s445,s125,s126,s127,s40,s294,s133,s134,s135,s136]) ).

cnf(s548,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s219,s181,s182,s183,s547,s546,s493,s445,s165,s166,s167,s125,s126,s127,s39,s40,s294,s133,s134,s135,s136,s1]) ).

cnf(s549,plain,
    ( ~ spl0_10
    | ~ spl0_31 ),
    inference(rat,[],[s186,s93,s94,s95]) ).

cnf(s551,plain,
    ( ~ spl0_38
    | ~ spl0_36
    | ~ spl0_6
    | ~ spl0_23 ),
    inference(rat,[],[s368,s497,s169,s170,s171,s56,s482,s544,s543,s147,s146,s145]) ).

cnf(s552,plain,
    ( ~ spl0_45
    | spl0_55
    | ~ spl0_23 ),
    inference(rat,[],[s512,s117,s118,s119,s35,s551,s246,s46,s270,s284,s47]) ).

cnf(s553,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s490,s173,s174,s175,s57,s495,s222,s29,s515,s480,s32,s552,s445,s125,s126,s127,s219,s40,s181,s182,s183,s294,s547,s133,s134,s135,s537,s149,s150,s151,s27,s432,s177,s178,s179,s180]) ).

cnf(s554,plain,
    ( ~ spl0_4
    | ~ spl0_55
    | ~ spl0_36 ),
    inference(rat,[],[s366,s443,s82,s83]) ).

cnf(s555,plain,
    ( ~ spl0_55
    | ~ spl0_36
    | spl0_3 ),
    inference(rat,[],[s125,s445,s126,s127,s2,s554]) ).

cnf(s556,plain,
    ( spl0_154
    | ~ spl0_155
    | ~ spl0_44
    | ~ spl0_36 ),
    inference(rat,[],[s480,s515]) ).

cnf(s557,plain,
    ( ~ spl0_74
    | ~ spl0_73
    | ~ spl0_49
    | ~ spl0_29 ),
    inference(rat,[],[s433,s230]) ).

cnf(s558,plain,
    ( ~ spl0_7
    | ~ spl0_49
    | ~ spl0_29 ),
    inference(rat,[],[s462,s191,s106,s107]) ).

cnf(s559,plain,
    ( spl0_8
    | spl0_35
    | spl0_38
    | ~ spl0_23 ),
    inference(rat,[],[s226,s73,s74,s75,s26,s558,s38,s25,s426,s205,s190,s16,s549,s93,s94,s95,s19]) ).

cnf(s560,plain,
    ( ~ spl0_36
    | ~ spl0_2 ),
    inference(rat,[],[s219,s32,s181,s556,s182,s183,s559,s207,s551,s145,s146,s147,s552,s47,s555,s180,s553]) ).

cnf(s561,plain,
    ( ~ spl0_5
    | ~ spl0_113
    | ~ spl0_55 ),
    inference(rat,[],[s404,s125,s126]) ).

cnf(s562,plain,
    ( ~ spl0_4
    | ~ spl0_45 ),
    inference(rat,[],[s526,s81,s82,s83]) ).

cnf(s563,plain,
    ( ~ spl0_45
    | ~ spl0_2 ),
    inference(rat,[],[s561,s127,s2,s562,s552,s180,s553]) ).

cnf(s564,plain,
    ( ~ spl0_59
    | ~ spl0_44 ),
    inference(rat,[],[s490,s173,s174,s175]) ).

cnf(s565,plain,
    ( ~ spl0_27
    | ~ spl0_60 ),
    inference(rat,[],[s493,s165,s166,s167]) ).

cnf(s566,plain,
    ( ~ spl0_8
    | ~ spl0_2 ),
    inference(rat,[],[s224,s161,s162,s163,s54,s53,s482,s543,s145,s146,s147,s47,s503,s565,s43,s502,s494,s57,s564,s218,s480,s32,s219,s181,s182,s183,s537,s149,s150,s151,s27,s432,s177,s178,s179,s180,s563]) ).

cnf(s567,plain,
    ( ~ spl0_6
    | ~ spl0_2 ),
    inference(rat,[],[s557,s74,s75,s26,s558,s378,s426,s55,s16,s417,s482,s549,s93,s94,s95,s543,s19,s559,s207,s145,s146,s147,s29,s560,s180,s432,s177,s178,s179,s566]) ).

cnf(s568,plain,
    ~ spl0_2,
    inference(rat,[],[s217,s105,s106,s107,s3,s567,s566,s29,s560,s432,s177,s178,s179,s180]) ).

cnf(s569,plain,
    spl0_1,
    inference(rat,[],[s548,s568]) ).

cnf(s570,plain,
    spl0_23,
    inference(rat,[],[s80,s569]) ).

cnf(s574,plain,
    ( spl0_39
    | spl0_55 ),
    inference(rat,[],[s224,s161,s162,s163,s53,s54,s482,s565,s543,s546,s23,s147,s146,s145,s47,s570,s568]) ).

cnf(s575,plain,
    ( ~ spl0_8
    | ~ spl0_39 ),
    inference(rat,[],[s219,s181,s182,s183]) ).

cnf(s576,plain,
    spl0_55,
    inference(rat,[],[s375,s230,s73,s74,s75,s55,s50,s16,s482,s544,s549,s543,s551,s19,s559,s575,s574,s207,s145,s146,s147,s47,s570,s568]) ).

cnf(s577,plain,
    ~ spl0_5,
    inference(rat,[],[s561,s127,s576]) ).

cnf(s578,plain,
    spl0_51,
    inference(rat,[],[s40,s570,s577]) ).

cnf(s579,plain,
    ~ spl0_3,
    inference(rat,[],[s294,s133,s134,s135,s578]) ).

cnf(s580,plain,
    ~ spl0_36,
    inference(rat,[],[s555,s576,s579]) ).

cnf(s581,plain,
    spl0_4,
    inference(rat,[],[s2,s577,s579]) ).

cnf(s585,plain,
    ~ spl0_45,
    inference(rat,[],[s562,s581]) ).

cnf(s588,plain,
    ( ~ spl0_27
    | ~ spl0_56 ),
    inference(rat,[],[s536,s328,s165,s167,s578]) ).

cnf(s589,plain,
    ( ~ spl0_25
    | ~ spl0_56 ),
    inference(rat,[],[s537,s149,s150,s151]) ).

cnf(s590,plain,
    ( ~ spl0_9
    | ~ spl0_49 ),
    inference(rat,[],[s276,s157,s158,s159]) ).

cnf(s591,plain,
    ( ~ spl0_11
    | ~ spl0_56
    | ~ spl0_44 ),
    inference(rat,[],[s540,s506,s89,s90,s91]) ).

cnf(s593,plain,
    ( ~ spl0_20
    | ~ spl0_58 ),
    inference(rat,[],[s346,s137,s138,s139]) ).

cnf(s595,plain,
    ( ~ spl0_15
    | ~ spl0_26
    | ~ spl0_38 ),
    inference(rat,[],[s314,s464,s61,s63]) ).

cnf(s603,plain,
    ( spl0_34
    | ~ spl0_35
    | spl0_11
    | ~ spl0_38 ),
    inference(rat,[],[s197,s400,s113,s114,s115,s6,s595,s18,s44,s593,s283,s577,s570,s578]) ).

cnf(s604,plain,
    ( ~ spl0_14
    | spl0_25 ),
    inference(rat,[],[s197,s431,s113,s115,s27,s21,s580,s570]) ).

cnf(s605,plain,
    ( ~ spl0_56
    | spl0_39 ),
    inference(rat,[],[s382,s497,s169,s170,s171,s14,s365,s464,s61,s62,s63,s6,s604,s603,s21,s591,s589,s588,s23,s32,s570,s577,s580,s585,s568]) ).

cnf(s606,plain,
    ( ~ spl0_25
    | ~ spl0_60 ),
    inference(rat,[],[s494,s503,s149,s150,s151,s576]) ).

cnf(s607,plain,
    spl0_39,
    inference(rat,[],[s496,s506,s89,s90,s91,s18,s382,s497,s169,s170,s171,s14,s365,s464,s595,s61,s62,s63,s6,s604,s606,s565,s57,s605,s564,s32,s23,s570,s577,s585,s568]) ).

cnf(s608,plain,
    ~ spl0_8,
    inference(rat,[],[s575,s607]) ).

cnf(s610,plain,
    ~ spl0_56,
    inference(rat,[],[s382,s499,s169,s170,s14,s18,s365,s314,s196,s61,s62,s63,s591,s6,s211,s604,s21,s27,s589,s588,s570,s577,s607,s580]) ).

cnf(s611,plain,
    spl0_25,
    inference(rat,[],[s207,s145,s146,s147,s4,s549,s16,s365,s196,s590,s61,s62,s63,s377,s6,s34,s604,s21,s570,s608,s578,s577,s580]) ).

cnf(s615,plain,
    ~ spl0_60,
    inference(rat,[],[s606,s611]) ).

cnf(s617,plain,
    spl0_59,
    inference(rat,[],[s57,s570,s610,s615]) ).

cnf(s622,plain,
    ~ spl0_44,
    inference(rat,[],[s564,s617]) ).

cnf(s623,plain,
    ~ spl0_43,
    inference(rat,[],[s211,s607,s622]) ).

cnf(s624,plain,
    ~ spl0_38,
    inference(rat,[],[s202,s607,s622]) ).

cnf(s625,plain,
    spl0_37,
    inference(rat,[],[s29,s580,s570,s623]) ).

cnf(s627,plain,
    spl0_35,
    inference(rat,[],[s559,s570,s608,s624]) ).

cnf(s633,plain,
    ~ spl0_6,
    inference(rat,[],[s207,s145,s146,s147,s627]) ).

cnf(s634,plain,
    spl0_7,
    inference(rat,[],[s3,s608,s633]) ).

cnf(s636,plain,
    spl0_98,
    inference(rat,[],[s107,s634]) ).

cnf(s637,plain,
    spl0_97,
    inference(rat,[],[s106,s634]) ).

cnf(s638,plain,
    ~ spl0_96,
    inference(rat,[],[s105,s634]) ).

cnf(s642,plain,
    $false,
    inference(rat,[],[s217,s636,s625,s637,s638]) ).

fof(f2011,plain,
    $false,
    inference(avatar_sat_refutation,[],[s642]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN462+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16  % Computer : n005.cluster.edu
% 0.10/0.16  % Model    : x86_64 x86_64
% 0.10/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16  % Memory   : 8046.5625MB
% 0.10/0.16  % OS       : Linux 6.8.0-71-generic
% 0.10/0.16  % CPULimit : 300
% 0.10/0.16  % WCLimit  : 300
% 0.10/0.16  % DateTime : Mon Sep 28 16:06:46 UTC 2026
% 0.10/0.17  % CPUTime  : 
% 0.10/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20  Running first-order theorem proving
% 0.10/0.20  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.17/1.10  % (904391)Detected formulas, will run a generic FOF schedule.
% 3.17/1.10  % (904397)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4114364042:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.17/1.10  % (904400)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1916695399:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.17/1.10  % (904398)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4094355716:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.17/1.10  % (904396)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2903055430:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.17/1.10  % (904401)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3400517919:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.17/1.10  % (904399)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1542692074:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.17/1.10  % (904402)dis-21_1_sil=8000:lcm=predicate:random_seed=715053632:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.17/1.10  % (904402)First to succeed.
% 3.17/1.10  % (904402)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-904391"
% 3.17/1.10  % (904401)Also succeeded, but the first one will report.
% 3.17/1.10  % (904400)Instruction limit reached! 
% 3.17/1.10  % (904400)------------------------------
% 3.17/1.10  % (904400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.10  % (904400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.10  % (904400)CaDiCaL version: 2.1.3
% 3.17/1.10  % (904400)Termination reason: Instruction limit
% 3.17/1.10  % (904400)Termination phase: Saturation
% 3.17/1.10  % (904400)Time elapsed: 0.059 s
% 3.17/1.10  % (904400)Peak memory usage: 87 MB
% 3.17/1.10  % (904400)Instructions burned: 120 (million)
% 3.17/1.10  % (904399)Also succeeded, but the first one will report.
% 3.17/1.10  % (904410)lrs+10_1_sil=8000:sp=occurrence:random_seed=3155019342:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.17/1.10  % (904402)Refutation found. Thanks to Tanya!
% 3.17/1.10  % SZS status Theorem for theBenchmark
% 3.17/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.20  % (904402)------------------------------
% 0.17/1.20  % (904402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.20  % (904402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.20  % (904402)CaDiCaL version: 2.1.3
% 0.17/1.20  % (904402)Termination reason: Refutation
% 0.17/1.20  % (904402)Time elapsed: 0.032 s
% 0.17/1.20  % (904402)Peak memory usage: 90 MB
% 0.17/1.20  % (904402)Instructions burned: 52 (million)
% 0.17/1.20  % (904402)------------------------------
% 0.17/1.20  % (904402)------------------------------
% 0.17/1.20  % (904391)Success in time 0.462 s
% 0.17/1.20  % Vampire exiting
%------------------------------------------------------------------------------