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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN450+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:51:45 PM UTC 2026

% Result   : Theorem 2.92s 1.12s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :  144
% Syntax   : Number of formulae    :  843 (  24 unt; 143 def)
%            Number of atoms       : 5648 (   0 equ)
%            Maximal formula atoms :  599 (   6 avg)
%            Number of connectives : 7440 (2635   ~;3497   |; 895   &)
%                                         ( 143 <=>; 270  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   96 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  179 ( 178 usr; 175 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  610 (   0 sgn 610   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a641)
          & c3_1(a641)
          & ~ c1_1(a641) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a642)
          & c3_1(a642)
          & ~ c1_1(a642) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a643)
          & c2_1(a643)
          & ~ c0_1(a643) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a645)
          & c3_1(a645)
          & ~ c2_1(a645) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c1_1(a646)
          & ~ c2_1(a646)
          & ~ c3_1(a646) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a647)
          & ~ c0_1(a647)
          & ~ c3_1(a647) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a648)
          & ~ c2_1(a648)
          & ~ c3_1(a648) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a651)
          & ~ c0_1(a651)
          & ~ c1_1(a651) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a652)
          & c3_1(a652)
          & ~ c2_1(a652) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c0_1(a654)
          & ~ c1_1(a654)
          & ~ c2_1(a654) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a656)
          & c2_1(a656)
          & ~ c1_1(a656) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a657)
          & c2_1(a657)
          & ~ c3_1(a657) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a660)
          & ~ c1_1(a660)
          & ~ c2_1(a660) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a661)
          & ~ c1_1(a661)
          & ~ c3_1(a661) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a665)
          & ~ c0_1(a665)
          & ~ c1_1(a665) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c3_1(a667)
          & ~ c0_1(a667)
          & ~ c2_1(a667) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a672)
          & ~ c2_1(a672)
          & ~ c3_1(a672) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a675)
          & ~ c1_1(a675)
          & ~ c3_1(a675) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a676)
          & c1_1(a676)
          & ~ c2_1(a676) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c3_1(a682)
          & ~ c1_1(a682)
          & ~ c2_1(a682) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a686)
          & c2_1(a686)
          & ~ c3_1(a686) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ c0_1(a691)
          & ~ c1_1(a691)
          & ~ c3_1(a691) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c2_1(a693)
          & c3_1(a693)
          & ~ c0_1(a693) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a695)
          & ~ c0_1(a695)
          & ~ c3_1(a695) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a698)
          & ~ c0_1(a698)
          & ~ c2_1(a698) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c0_1(a710)
          & ~ c2_1(a710)
          & ~ c3_1(a710) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a640)
          & c1_1(a640)
          & c3_1(a640) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a655)
          & c2_1(a655)
          & c3_1(a655) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a671)
          & c1_1(a671)
          & c2_1(a671) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a688)
          & c2_1(a688)
          & c3_1(a688) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | hskp26
        | hskp0 )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | ~ c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | ~ c0_1(X3)
              | ~ c1_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | ~ c2_1(X5)
              | ~ c3_1(X5) ) )
        | hskp1 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c3_1(X6) ) )
        | hskp2
        | hskp0 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | hskp3
        | hskp4 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c1_1(X9)
              | c3_1(X9)
              | ~ c2_1(X9) ) )
        | hskp5 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c2_1(X10) ) )
        | hskp6
        | hskp2 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | c3_1(X12)
              | ~ c1_1(X12) ) )
        | hskp2 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | ~ c0_1(X14)
              | ~ c3_1(X14) ) )
        | hskp7 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | ~ c1_1(X16)
              | ~ c2_1(X16) ) )
        | hskp8 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | ~ c2_1(X18)
              | ~ c3_1(X18) ) )
        | hskp3 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | ~ c1_1(X21)
              | ~ c3_1(X21) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c3_1(X23)
              | ~ c2_1(X23) ) )
        | hskp9 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | c2_1(X25)
              | ~ c3_1(X25) ) )
        | hskp27 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | ~ c0_1(X27)
              | ~ c1_1(X27) ) )
        | hskp10 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c3_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | ~ c1_1(X29)
              | ~ c2_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | c2_1(X30)
              | ~ c0_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c3_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c1_1(X32)
              | ~ c3_1(X32) ) )
        | hskp11 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c3_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | ~ c2_1(X34)
              | ~ c3_1(X34) ) )
        | hskp27 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c3_1(X35)
              | ~ c1_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c1_1(X36)
              | ~ c3_1(X36) ) )
        | hskp6 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c3_1(X37)
              | ~ c1_1(X37) ) )
        | hskp12
        | hskp13 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c3_1(X38)
              | ~ c2_1(X38) ) )
        | hskp6
        | hskp3 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c1_1(X39)
              | ~ c2_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | ~ c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c1_1(X41)
              | ~ c2_1(X41) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c1_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | ~ c2_1(X43)
              | ~ c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | ~ c2_1(X44)
              | ~ c3_1(X44) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c1_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c3_1(X46)
              | ~ c0_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | ~ c0_1(X47)
              | ~ c1_1(X47) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c2_1(X48)
              | ~ c3_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c3_1(X49)
              | ~ c0_1(X49) ) )
        | hskp7 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c2_1(X50)
              | ~ c3_1(X50) ) )
        | hskp14
        | hskp4 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c2_1(X51)
              | ~ c3_1(X51) ) )
        | hskp15
        | hskp9 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c2_1(X52)
              | c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c2_1(X53)
              | ~ c3_1(X53) ) )
        | hskp4 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c2_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c3_1(X55)
              | ~ c0_1(X55) ) )
        | hskp12 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | c2_1(X56)
              | ~ c3_1(X56) ) )
        | hskp28
        | hskp16 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c3_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | ~ c0_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | ~ c0_1(X59)
              | ~ c2_1(X59) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c3_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | hskp7 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c3_1(X62)
              | ~ c2_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | ~ c0_1(X64)
              | ~ c1_1(X64) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c0_1(X65)
              | ~ c3_1(X65) ) )
        | hskp28
        | hskp17 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c0_1(X66)
              | ~ c3_1(X66) ) )
        | hskp18
        | hskp4 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | ~ c0_1(X68)
              | ~ c1_1(X68) ) )
        | hskp9 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | ~ c2_1(X69)
              | ~ c3_1(X69) ) )
        | hskp17
        | hskp7 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp17
        | hskp19 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | c3_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | ~ c0_1(X72)
              | ~ c2_1(X72) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | ~ c2_1(X74)
              | ~ c3_1(X74) ) )
        | hskp11 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) )
        | hskp8
        | hskp19 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | c3_1(X76)
              | ~ c0_1(X76) ) )
        | hskp20
        | hskp5 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | c3_1(X77)
              | ~ c1_1(X77) ) )
        | hskp29
        | hskp5 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | ~ c0_1(X78)
              | ~ c3_1(X78) ) )
        | hskp11
        | hskp21 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | ~ c0_1(X79)
              | ~ c3_1(X79) ) )
        | hskp20
        | hskp22 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c3_1(X80) ) )
        | hskp5
        | hskp23 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c1_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp8 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) )
        | hskp2
        | hskp24 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c1_1(X84)
              | ~ c3_1(X84) ) )
        | hskp3
        | hskp15 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | hskp1
        | hskp29 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c0_1(X86)
              | ~ c2_1(X86) ) )
        | hskp12
        | hskp20 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c0_1(X87)
              | ~ c2_1(X87) ) )
        | hskp15
        | hskp9 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | ~ c1_1(X88)
              | ~ c2_1(X88) ) )
        | hskp10
        | hskp29 )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | ~ c1_1(X89)
              | ~ c2_1(X89) ) )
        | hskp23
        | hskp25 )
      & ( hskp18
        | hskp1
        | hskp7 )
      & ( hskp18
        | hskp2
        | hskp20 )
      & ( hskp1
        | hskp14
        | hskp17 )
      & ( hskp2
        | hskp22
        | hskp19 )
      & ( hskp20
        | hskp24
        | hskp0 )
      & ( hskp24
        | hskp14
        | hskp17 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a641)
            & c3_1(a641)
            & ~ c1_1(a641) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a642)
            & c3_1(a642)
            & ~ c1_1(a642) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a643)
            & c2_1(a643)
            & ~ c0_1(a643) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a645)
            & c3_1(a645)
            & ~ c2_1(a645) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c1_1(a646)
            & ~ c2_1(a646)
            & ~ c3_1(a646) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a647)
            & ~ c0_1(a647)
            & ~ c3_1(a647) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a648)
            & ~ c2_1(a648)
            & ~ c3_1(a648) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a651)
            & ~ c0_1(a651)
            & ~ c1_1(a651) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a652)
            & c3_1(a652)
            & ~ c2_1(a652) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c0_1(a654)
            & ~ c1_1(a654)
            & ~ c2_1(a654) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a656)
            & c2_1(a656)
            & ~ c1_1(a656) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a657)
            & c2_1(a657)
            & ~ c3_1(a657) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a660)
            & ~ c1_1(a660)
            & ~ c2_1(a660) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a661)
            & ~ c1_1(a661)
            & ~ c3_1(a661) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a665)
            & ~ c0_1(a665)
            & ~ c1_1(a665) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c3_1(a667)
            & ~ c0_1(a667)
            & ~ c2_1(a667) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a672)
            & ~ c2_1(a672)
            & ~ c3_1(a672) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a675)
            & ~ c1_1(a675)
            & ~ c3_1(a675) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a676)
            & c1_1(a676)
            & ~ c2_1(a676) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c3_1(a682)
            & ~ c1_1(a682)
            & ~ c2_1(a682) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a686)
            & c2_1(a686)
            & ~ c3_1(a686) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c0_1(a691)
            & ~ c1_1(a691)
            & ~ c3_1(a691) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c2_1(a693)
            & c3_1(a693)
            & ~ c0_1(a693) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a695)
            & ~ c0_1(a695)
            & ~ c3_1(a695) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a698)
            & ~ c0_1(a698)
            & ~ c2_1(a698) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a710)
            & ~ c2_1(a710)
            & ~ c3_1(a710) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a640)
            & c1_1(a640)
            & c3_1(a640) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a655)
            & c2_1(a655)
            & c3_1(a655) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a671)
            & c1_1(a671)
            & c2_1(a671) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a688)
            & c2_1(a688)
            & c3_1(a688) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | hskp26
          | hskp0 )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | ~ c0_1(X3)
                | ~ c1_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | ~ c2_1(X5)
                | ~ c3_1(X5) ) )
          | hskp1 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) )
          | hskp2
          | hskp0 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | hskp3
          | hskp4 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) )
          | hskp5 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) )
          | hskp6
          | hskp2 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | hskp2 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | ~ c0_1(X14)
                | ~ c3_1(X14) ) )
          | hskp7 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | ~ c1_1(X16)
                | ~ c2_1(X16) ) )
          | hskp8 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c2_1(X18)
                | ~ c3_1(X18) ) )
          | hskp3 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | ~ c1_1(X21)
                | ~ c3_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c3_1(X23)
                | ~ c2_1(X23) ) )
          | hskp9 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c2_1(X25)
                | ~ c3_1(X25) ) )
          | hskp27 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c0_1(X27)
                | ~ c1_1(X27) ) )
          | hskp10 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c3_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c1_1(X29)
                | ~ c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c2_1(X30)
                | ~ c0_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c3_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c1_1(X32)
                | ~ c3_1(X32) ) )
          | hskp11 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | ~ c2_1(X34)
                | ~ c3_1(X34) ) )
          | hskp27 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c3_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c1_1(X36)
                | ~ c3_1(X36) ) )
          | hskp6 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c3_1(X37)
                | ~ c1_1(X37) ) )
          | hskp12
          | hskp13 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | ~ c2_1(X38) ) )
          | hskp6
          | hskp3 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c1_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c1_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | ~ c2_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | ~ c2_1(X44)
                | ~ c3_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c1_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c3_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c0_1(X47)
                | ~ c1_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c2_1(X48)
                | ~ c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c3_1(X49)
                | ~ c0_1(X49) ) )
          | hskp7 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c2_1(X50)
                | ~ c3_1(X50) ) )
          | hskp14
          | hskp4 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp15
          | hskp9 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c2_1(X52)
                | c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp4 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c2_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c3_1(X55)
                | ~ c0_1(X55) ) )
          | hskp12 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c2_1(X56)
                | ~ c3_1(X56) ) )
          | hskp28
          | hskp16 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c3_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c0_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | ~ c0_1(X59)
                | ~ c2_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c3_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | hskp7 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c3_1(X62)
                | ~ c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | ~ c0_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c0_1(X65)
                | ~ c3_1(X65) ) )
          | hskp28
          | hskp17 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c0_1(X66)
                | ~ c3_1(X66) ) )
          | hskp18
          | hskp4 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | ~ c0_1(X68)
                | ~ c1_1(X68) ) )
          | hskp9 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp17
          | hskp7 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp17
          | hskp19 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | c3_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp11 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | hskp8
          | hskp19 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | c3_1(X76)
                | ~ c0_1(X76) ) )
          | hskp20
          | hskp5 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | c3_1(X77)
                | ~ c1_1(X77) ) )
          | hskp29
          | hskp5 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | ~ c0_1(X78)
                | ~ c3_1(X78) ) )
          | hskp11
          | hskp21 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | ~ c0_1(X79)
                | ~ c3_1(X79) ) )
          | hskp20
          | hskp22 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c3_1(X80) ) )
          | hskp5
          | hskp23 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c1_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp8 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) )
          | hskp2
          | hskp24 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c1_1(X84)
                | ~ c3_1(X84) ) )
          | hskp3
          | hskp15 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | hskp1
          | hskp29 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) )
          | hskp12
          | hskp20 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c0_1(X87)
                | ~ c2_1(X87) ) )
          | hskp15
          | hskp9 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c1_1(X88)
                | ~ c2_1(X88) ) )
          | hskp10
          | hskp29 )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | ~ c1_1(X89)
                | ~ c2_1(X89) ) )
          | hskp23
          | hskp25 )
        & ( hskp18
          | hskp1
          | hskp7 )
        & ( hskp18
          | hskp2
          | hskp20 )
        & ( hskp1
          | hskp14
          | hskp17 )
        & ( hskp2
          | hskp22
          | hskp19 )
        & ( hskp20
          | hskp24
          | hskp0 )
        & ( hskp24
          | hskp14
          | hskp17 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a641)
        & c3_1(a641)
        & ~ c1_1(a641) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a642)
        & c3_1(a642)
        & ~ c1_1(a642) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a643)
        & c2_1(a643)
        & ~ c0_1(a643) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a645)
        & c3_1(a645)
        & ~ c2_1(a645) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a646)
        & ~ c2_1(a646)
        & ~ c3_1(a646) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a647)
        & ~ c0_1(a647)
        & ~ c3_1(a647) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a648)
        & ~ c2_1(a648)
        & ~ c3_1(a648) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a651)
        & ~ c0_1(a651)
        & ~ c1_1(a651) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a652)
        & c3_1(a652)
        & ~ c2_1(a652) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a654)
        & ~ c1_1(a654)
        & ~ c2_1(a654) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a656)
        & c2_1(a656)
        & ~ c1_1(a656) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a657)
        & c2_1(a657)
        & ~ c3_1(a657) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a660)
        & ~ c1_1(a660)
        & ~ c2_1(a660) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a661)
        & ~ c1_1(a661)
        & ~ c3_1(a661) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a665)
        & ~ c0_1(a665)
        & ~ c1_1(a665) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a667)
        & ~ c0_1(a667)
        & ~ c2_1(a667) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a672)
        & ~ c2_1(a672)
        & ~ c3_1(a672) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a675)
        & ~ c1_1(a675)
        & ~ c3_1(a675) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a676)
        & c1_1(a676)
        & ~ c2_1(a676) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a682)
        & ~ c1_1(a682)
        & ~ c2_1(a682) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a686)
        & c2_1(a686)
        & ~ c3_1(a686) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a691)
        & ~ c1_1(a691)
        & ~ c3_1(a691) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a693)
        & c3_1(a693)
        & ~ c0_1(a693) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a695)
        & ~ c0_1(a695)
        & ~ c3_1(a695) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a698)
        & ~ c0_1(a698)
        & ~ c2_1(a698) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a710)
        & ~ c2_1(a710)
        & ~ c3_1(a710) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a640)
        & c1_1(a640)
        & c3_1(a640) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a655)
        & c2_1(a655)
        & c3_1(a655) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a671)
        & c1_1(a671)
        & c2_1(a671) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a688)
        & c2_1(a688)
        & c3_1(a688) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | hskp26
      | hskp0 )
    & ( ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | ~ c2_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | ~ c0_1(X3)
            | ~ c1_1(X3) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | ~ c2_1(X5)
            | ~ c3_1(X5) ) )
      | hskp1 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) )
      | hskp2
      | hskp0 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | hskp3
      | hskp4 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | ~ c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | c3_1(X9)
            | ~ c2_1(X9) ) )
      | hskp5 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | ~ c2_1(X10) ) )
      | hskp6
      | hskp2 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | c3_1(X12)
            | ~ c1_1(X12) ) )
      | hskp2 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | ~ c0_1(X14)
            | ~ c3_1(X14) ) )
      | hskp7 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | ~ c1_1(X16)
            | ~ c2_1(X16) ) )
      | hskp8 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c2_1(X18)
            | ~ c3_1(X18) ) )
      | hskp3 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c2_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | ~ c1_1(X21)
            | ~ c3_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c2_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c3_1(X23)
            | ~ c2_1(X23) ) )
      | hskp9 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c1_1(X25)
            | c2_1(X25)
            | ~ c3_1(X25) ) )
      | hskp27 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | ~ c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | ~ c0_1(X27)
            | ~ c1_1(X27) ) )
      | hskp10 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c3_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | ~ c1_1(X29)
            | ~ c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c1_1(X30)
            | c2_1(X30)
            | ~ c0_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c3_1(X31)
            | ~ c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | ~ c1_1(X32)
            | ~ c3_1(X32) ) )
      | hskp11 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c3_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | ~ c2_1(X34)
            | ~ c3_1(X34) ) )
      | hskp27 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c3_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | ~ c1_1(X36)
            | ~ c3_1(X36) ) )
      | hskp6 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c3_1(X37)
            | ~ c1_1(X37) ) )
      | hskp12
      | hskp13 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c3_1(X38)
            | ~ c2_1(X38) ) )
      | hskp6
      | hskp3 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c1_1(X39)
            | ~ c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | ~ c2_1(X40)
            | ~ c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | ~ c1_1(X41)
            | ~ c2_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c1_1(X42)
            | ~ c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | ~ c2_1(X43)
            | ~ c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | ~ c2_1(X44)
            | ~ c3_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | ~ c1_1(X45)
            | ~ c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c3_1(X46)
            | ~ c0_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c2_1(X47)
            | ~ c0_1(X47)
            | ~ c1_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | ~ c2_1(X48)
            | ~ c3_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c3_1(X49)
            | ~ c0_1(X49) ) )
      | hskp7 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c2_1(X50)
            | ~ c3_1(X50) ) )
      | hskp14
      | hskp4 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c2_1(X51)
            | ~ c3_1(X51) ) )
      | hskp15
      | hskp9 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c2_1(X52)
            | c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | c2_1(X53)
            | ~ c3_1(X53) ) )
      | hskp4 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c2_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c3_1(X55)
            | ~ c0_1(X55) ) )
      | hskp12 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | c2_1(X56)
            | ~ c3_1(X56) ) )
      | hskp28
      | hskp16 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c3_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c0_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | ~ c0_1(X59)
            | ~ c2_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c3_1(X60)
            | ~ c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | ~ c1_1(X61)
            | ~ c2_1(X61) ) )
      | hskp7 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c3_1(X62)
            | ~ c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | ~ c0_1(X64)
            | ~ c1_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c0_1(X65)
            | ~ c3_1(X65) ) )
      | hskp28
      | hskp17 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | ~ c0_1(X66)
            | ~ c3_1(X66) ) )
      | hskp18
      | hskp4 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | ~ c0_1(X68)
            | ~ c1_1(X68) ) )
      | hskp9 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | ~ c2_1(X69)
            | ~ c3_1(X69) ) )
      | hskp17
      | hskp7 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c2_1(X70)
            | ~ c3_1(X70) ) )
      | hskp17
      | hskp19 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | c3_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | ~ c0_1(X72)
            | ~ c2_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | c3_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | ~ c2_1(X74)
            | ~ c3_1(X74) ) )
      | hskp11 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c0_1(X75) ) )
      | hskp8
      | hskp19 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c2_1(X76)
            | c3_1(X76)
            | ~ c0_1(X76) ) )
      | hskp20
      | hskp5 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | c3_1(X77)
            | ~ c1_1(X77) ) )
      | hskp29
      | hskp5 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | ~ c0_1(X78)
            | ~ c3_1(X78) ) )
      | hskp11
      | hskp21 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c2_1(X79)
            | ~ c0_1(X79)
            | ~ c3_1(X79) ) )
      | hskp20
      | hskp22 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | ~ c0_1(X80)
            | ~ c3_1(X80) ) )
      | hskp5
      | hskp23 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c1_1(X81)
            | ~ c3_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp8 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | ~ c1_1(X83)
            | ~ c3_1(X83) ) )
      | hskp2
      | hskp24 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c1_1(X84)
            | ~ c3_1(X84) ) )
      | hskp3
      | hskp15 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c0_1(X85)
            | ~ c2_1(X85) ) )
      | hskp1
      | hskp29 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | ~ c0_1(X86)
            | ~ c2_1(X86) ) )
      | hskp12
      | hskp20 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | ~ c0_1(X87)
            | ~ c2_1(X87) ) )
      | hskp15
      | hskp9 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | ~ c1_1(X88)
            | ~ c2_1(X88) ) )
      | hskp10
      | hskp29 )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | ~ c1_1(X89)
            | ~ c2_1(X89) ) )
      | hskp23
      | hskp25 )
    & ( hskp18
      | hskp1
      | hskp7 )
    & ( hskp18
      | hskp2
      | hskp20 )
    & ( hskp1
      | hskp14
      | hskp17 )
    & ( hskp2
      | hskp22
      | hskp19 )
    & ( hskp20
      | hskp24
      | hskp0 )
    & ( hskp24
      | hskp14
      | hskp17 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a641)
        & c3_1(a641)
        & ~ c1_1(a641) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a642)
        & c3_1(a642)
        & ~ c1_1(a642) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a643)
        & c2_1(a643)
        & ~ c0_1(a643) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a645)
        & c3_1(a645)
        & ~ c2_1(a645) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a646)
        & ~ c2_1(a646)
        & ~ c3_1(a646) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a647)
        & ~ c0_1(a647)
        & ~ c3_1(a647) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a648)
        & ~ c2_1(a648)
        & ~ c3_1(a648) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a651)
        & ~ c0_1(a651)
        & ~ c1_1(a651) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a652)
        & c3_1(a652)
        & ~ c2_1(a652) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a654)
        & ~ c1_1(a654)
        & ~ c2_1(a654) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a656)
        & c2_1(a656)
        & ~ c1_1(a656) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a657)
        & c2_1(a657)
        & ~ c3_1(a657) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a660)
        & ~ c1_1(a660)
        & ~ c2_1(a660) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a661)
        & ~ c1_1(a661)
        & ~ c3_1(a661) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a665)
        & ~ c0_1(a665)
        & ~ c1_1(a665) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a667)
        & ~ c0_1(a667)
        & ~ c2_1(a667) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a672)
        & ~ c2_1(a672)
        & ~ c3_1(a672) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a675)
        & ~ c1_1(a675)
        & ~ c3_1(a675) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a676)
        & c1_1(a676)
        & ~ c2_1(a676) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a682)
        & ~ c1_1(a682)
        & ~ c2_1(a682) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a686)
        & c2_1(a686)
        & ~ c3_1(a686) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a691)
        & ~ c1_1(a691)
        & ~ c3_1(a691) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a693)
        & c3_1(a693)
        & ~ c0_1(a693) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a695)
        & ~ c0_1(a695)
        & ~ c3_1(a695) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a698)
        & ~ c0_1(a698)
        & ~ c2_1(a698) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a710)
        & ~ c2_1(a710)
        & ~ c3_1(a710) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a640)
        & c1_1(a640)
        & c3_1(a640) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a655)
        & c2_1(a655)
        & c3_1(a655) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a671)
        & c1_1(a671)
        & c2_1(a671) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a688)
        & c2_1(a688)
        & c3_1(a688) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp26
      | hskp0 )
    & ( ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | ~ c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp6
      | hskp2 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c0_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c1_1(X25)
          | c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c3_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | c2_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp6
      | hskp3 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c1_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp14
      | hskp4 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp15
      | hskp9 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c3_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c1_1(X60)
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp28
      | hskp17 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp18
      | hskp4 )
    & ( ! [X67] :
          ( c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X69] :
          ( c1_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp17
      | hskp7 )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp17
      | hskp19 )
    & ( ! [X71] :
          ( c2_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp8
      | hskp19 )
    & ( ! [X76] :
          ( c2_1(X76)
          | c3_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp20
      | hskp5 )
    & ( ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X78] :
          ( c2_1(X78)
          | ~ c0_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp11
      | hskp21 )
    & ( ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp20
      | hskp22 )
    & ( ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp5
      | hskp23 )
    & ( ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp2
      | hskp24 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp1
      | hskp29 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp12
      | hskp20 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp15
      | hskp9 )
    & ( ! [X88] :
          ( c3_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp10
      | hskp29 )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp23
      | hskp25 )
    & ( hskp18
      | hskp1
      | hskp7 )
    & ( hskp18
      | hskp2
      | hskp20 )
    & ( hskp1
      | hskp14
      | hskp17 )
    & ( hskp2
      | hskp22
      | hskp19 )
    & ( hskp20
      | hskp24
      | hskp0 )
    & ( hskp24
      | hskp14
      | hskp17 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a641)
        & c3_1(a641)
        & ~ c1_1(a641) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a642)
        & c3_1(a642)
        & ~ c1_1(a642) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a643)
        & c2_1(a643)
        & ~ c0_1(a643) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a645)
        & c3_1(a645)
        & ~ c2_1(a645) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a646)
        & ~ c2_1(a646)
        & ~ c3_1(a646) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a647)
        & ~ c0_1(a647)
        & ~ c3_1(a647) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a648)
        & ~ c2_1(a648)
        & ~ c3_1(a648) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a651)
        & ~ c0_1(a651)
        & ~ c1_1(a651) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a652)
        & c3_1(a652)
        & ~ c2_1(a652) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a654)
        & ~ c1_1(a654)
        & ~ c2_1(a654) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a656)
        & c2_1(a656)
        & ~ c1_1(a656) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a657)
        & c2_1(a657)
        & ~ c3_1(a657) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a660)
        & ~ c1_1(a660)
        & ~ c2_1(a660) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a661)
        & ~ c1_1(a661)
        & ~ c3_1(a661) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a665)
        & ~ c0_1(a665)
        & ~ c1_1(a665) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a667)
        & ~ c0_1(a667)
        & ~ c2_1(a667) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a672)
        & ~ c2_1(a672)
        & ~ c3_1(a672) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a675)
        & ~ c1_1(a675)
        & ~ c3_1(a675) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a676)
        & c1_1(a676)
        & ~ c2_1(a676) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a682)
        & ~ c1_1(a682)
        & ~ c2_1(a682) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a686)
        & c2_1(a686)
        & ~ c3_1(a686) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a691)
        & ~ c1_1(a691)
        & ~ c3_1(a691) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a693)
        & c3_1(a693)
        & ~ c0_1(a693) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a695)
        & ~ c0_1(a695)
        & ~ c3_1(a695) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a698)
        & ~ c0_1(a698)
        & ~ c2_1(a698) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a710)
        & ~ c2_1(a710)
        & ~ c3_1(a710) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a640)
        & c1_1(a640)
        & c3_1(a640) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a655)
        & c2_1(a655)
        & c3_1(a655) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a671)
        & c1_1(a671)
        & c2_1(a671) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a688)
        & c2_1(a688)
        & c3_1(a688) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp26
      | hskp0 )
    & ( ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c2_1(X3)
          | ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | ~ c2_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c1_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp6
      | hskp2 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c0_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c1_1(X25)
          | c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c3_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | c2_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp6
      | hskp3 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c1_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp14
      | hskp4 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp15
      | hskp9 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c3_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c1_1(X60)
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp28
      | hskp17 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp18
      | hskp4 )
    & ( ! [X67] :
          ( c1_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c3_1(X68)
          | ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X69] :
          ( c1_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp17
      | hskp7 )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp17
      | hskp19 )
    & ( ! [X71] :
          ( c2_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp8
      | hskp19 )
    & ( ! [X76] :
          ( c2_1(X76)
          | c3_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp20
      | hskp5 )
    & ( ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X78] :
          ( c2_1(X78)
          | ~ c0_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp11
      | hskp21 )
    & ( ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp20
      | hskp22 )
    & ( ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp5
      | hskp23 )
    & ( ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp2
      | hskp24 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp1
      | hskp29 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp12
      | hskp20 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp15
      | hskp9 )
    & ( ! [X88] :
          ( c3_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp10
      | hskp29 )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp23
      | hskp25 )
    & ( hskp18
      | hskp1
      | hskp7 )
    & ( hskp18
      | hskp2
      | hskp20 )
    & ( hskp1
      | hskp14
      | hskp17 )
    & ( hskp2
      | hskp22
      | hskp19 )
    & ( hskp20
      | hskp24
      | hskp0 )
    & ( hskp24
      | hskp14
      | hskp17 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp24
    | hskp14
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp2
    | hskp22
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp1
    | hskp14
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp18
    | hskp2
    | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp18
    | hskp1
    | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X88] :
      ( c3_1(X88)
      | ~ c1_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | hskp10
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X85] :
      ( c3_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | hskp1
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X82,X81] :
      ( c2_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X82)
      | ~ c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X80] :
      ( c2_1(X80)
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp5
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X79] :
      ( c2_1(X79)
      | ~ c0_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | hskp20
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X78] :
      ( c2_1(X78)
      | ~ c0_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | hskp11
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X76] :
      ( c2_1(X76)
      | c3_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | hskp20
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X75] :
      ( c2_1(X75)
      | c3_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | hskp8
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X73,X74] :
      ( c2_1(X73)
      | c3_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | ~ c2_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X72,X71] :
      ( c2_1(X71)
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X70] :
      ( c1_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp17
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X69] :
      ( c1_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp17
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X66] :
      ( c1_1(X66)
      | ~ c0_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | hskp18
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X65] :
      ( c1_1(X65)
      | ~ c0_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | hskp28
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X60,X61] :
      ( c1_1(X60)
      | c3_1(X60)
      | ~ c0_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X58,X59,X57] :
      ( c1_1(X57)
      | c3_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | c3_1(X59)
      | ~ c0_1(X59)
      | ~ c2_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X56] :
      ( c1_1(X56)
      | c2_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | hskp28
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X54,X55] :
      ( c1_1(X54)
      | c2_1(X54)
      | ~ c0_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | ~ c1_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | ~ c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | ~ c1_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | ~ c1_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | ~ c1_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X38] :
      ( c0_1(X38)
      | c3_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0
      | hskp6
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X37] :
      ( c0_1(X37)
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | hskp12
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c3_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c3_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c3_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c3_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | ~ c1_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0
      | c1_1(X30)
      | c2_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | c2_1(X27)
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | ~ c1_1(X18)
      | ~ c2_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | ~ c1_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | c2_1(X12)
      | c3_1(X12)
      | ~ c1_1(X12)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X10] :
      ( c0_1(X10)
      | c1_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | hskp6
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | c1_1(X9)
      | c3_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X6] :
      ( c0_1(X6)
      | c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | hskp2
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X4,X5] :
      ( c0_1(X4)
      | c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | ~ c2_1(X5)
      | ~ c3_1(X5)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ hskp29
    | c3_1(a688) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp29
    | c2_1(a688) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp29
    | c1_1(a688) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp28
    | c2_1(a671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp28
    | c1_1(a671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp28
    | c0_1(a671) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp27
    | c2_1(a655) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp27
    | c0_1(a655) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp24
    | ~ c2_1(a698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp24
    | ~ c0_1(a698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp24
    | c1_1(a698) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp23
    | ~ c3_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp23
    | ~ c0_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp23
    | c2_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp22
    | ~ c0_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp22
    | c3_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp22
    | c2_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp21
    | ~ c3_1(a691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp21
    | ~ c1_1(a691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp21
    | ~ c0_1(a691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp20
    | ~ c3_1(a686) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp20
    | c2_1(a686) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp20
    | c1_1(a686) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp19
    | ~ c2_1(a682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp19
    | ~ c1_1(a682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp19
    | c3_1(a682) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp18
    | ~ c2_1(a676) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp18
    | c1_1(a676) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp18
    | c0_1(a676) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp17
    | ~ c3_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp17
    | ~ c1_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp17
    | c2_1(a675) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp16
    | ~ c3_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp16
    | ~ c2_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp16
    | c1_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp14
    | ~ c1_1(a665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp14
    | ~ c0_1(a665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp14
    | c2_1(a665) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp13
    | ~ c3_1(a661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp13
    | ~ c1_1(a661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp13
    | c0_1(a661) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp12
    | ~ c2_1(a660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp12
    | ~ c1_1(a660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp12
    | c0_1(a660) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp11
    | ~ c3_1(a657) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp11
    | c2_1(a657) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp11
    | c0_1(a657) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp10
    | ~ c1_1(a656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp10
    | c2_1(a656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp10
    | c0_1(a656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp8
    | ~ c2_1(a652) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp8
    | c3_1(a652) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp8
    | c0_1(a652) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp7
    | ~ c1_1(a651) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp7
    | ~ c0_1(a651) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp7
    | c3_1(a651) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp6
    | ~ c3_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp6
    | ~ c2_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp6
    | c0_1(a648) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp5
    | ~ c3_1(a647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp5
    | ~ c0_1(a647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp5
    | c1_1(a647) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp4
    | ~ c3_1(a646) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp4
    | ~ c2_1(a646) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp4
    | ~ c1_1(a646) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp3
    | ~ c2_1(a645) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp3
    | c3_1(a645) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp3
    | c1_1(a645) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp2
    | ~ c0_1(a643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp2
    | c2_1(a643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp2
    | c1_1(a643) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp1
    | ~ c1_1(a642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp1
    | c3_1(a642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp1
    | c0_1(a642) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp0
    | ~ c1_1(a641) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp0
    | c3_1(a641) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp0
    | c2_1(a641) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ! [X82,X81] :
      ( c2_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | ~ c1_1(X82)
      | ~ c2_1(X82)
      | ~ c3_1(X82)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f187,plain,
    ! [X73,X74] :
      ( c2_1(X73)
      | c3_1(X73)
      | ~ c0_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | ~ c2_1(X74)
      | ~ c3_1(X74)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f188,plain,
    ! [X72,X71] :
      ( c2_1(X71)
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72) ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f191,plain,
    ! [X60,X61] :
      ( c1_1(X60)
      | c3_1(X60)
      | ~ c0_1(X60)
      | ~ ndr1_0
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | ~ c2_1(X61)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f192,plain,
    ! [X58,X59,X57] :
      ( c1_1(X57)
      | c3_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c2_1(X58)
      | c3_1(X59)
      | ~ c0_1(X59)
      | ~ c2_1(X59) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f193,plain,
    ! [X54,X55] :
      ( c1_1(X54)
      | c2_1(X54)
      | ~ c0_1(X54)
      | ~ ndr1_0
      | c1_1(X55)
      | c3_1(X55)
      | ~ c0_1(X55)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f197,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | ~ c1_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | ~ c2_1(X43)
      | ~ c3_1(X43)
      | ~ c1_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44) ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f198,plain,
    ! [X40,X41,X39] :
      ( c0_1(X39)
      | ~ c1_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | ~ c0_1(X41)
      | ~ c1_1(X41)
      | ~ c2_1(X41) ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f199,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c3_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ c3_1(X36)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f200,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c3_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | hskp27 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f201,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c3_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f202,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c3_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | ~ c1_1(X29)
      | ~ c2_1(X29)
      | c1_1(X30)
      | c2_1(X30)
      | ~ c0_1(X30) ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f203,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | c2_1(X27)
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f207,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | ~ c1_1(X18)
      | ~ c2_1(X18)
      | ~ c3_1(X18)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f208,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | ~ c1_1(X16)
      | ~ c2_1(X16)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f210,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | c2_1(X12)
      | c3_1(X12)
      | ~ c1_1(X12)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f211,plain,
    ! [X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | c1_1(X9)
      | c3_1(X9)
      | ~ c2_1(X9)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f212,plain,
    ! [X4,X5] :
      ( c0_1(X4)
      | c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0
      | c0_1(X5)
      | ~ c2_1(X5)
      | ~ c3_1(X5)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f215,definition,
    ( spl0_1
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f218,definition,
    ( spl0_2
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f221,definition,
    ( spl0_3
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f223,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f221,f218,f215]) ).

fof(f225,definition,
    ( spl0_4
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f228,definition,
    ( spl0_5
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f232,definition,
    ( spl0_6
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f235,definition,
    ( spl0_7
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f238,definition,
    ( spl0_8
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f240,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f238,f235,f232]) ).

fof(f242,definition,
    ( spl0_9
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f244,plain,
    ( spl0_1
    | spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f9,f242,f218,f215]) ).

fof(f246,definition,
    ( spl0_10
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f248,plain,
    ( spl0_5
    | spl0_8
    | spl0_10 ),
    inference(avatar_split_clause,[],[f10,f246,f238,f228]) ).

fof(f250,definition,
    ( spl0_11
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f252,plain,
    ( spl0_11
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f11,f246,f242,f250]) ).

fof(f257,definition,
    ( spl0_13
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f260,definition,
    ( spl0_14
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f263,definition,
    ( spl0_15
  <=> ! [X89] :
        ( ~ c0_1(X89)
        | ~ c2_1(X89)
        | ~ c1_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f264,plain,
    ( ! [X89] :
        ( ~ c0_1(X89)
        | ~ c2_1(X89)
        | ~ c1_1(X89) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f267,definition,
    ( spl0_16
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f270,definition,
    ( spl0_17
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f273,definition,
    ( spl0_18
  <=> ! [X88] :
        ( c3_1(X88)
        | ~ c2_1(X88)
        | ~ c1_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f274,plain,
    ( ! [X88] :
        ( ~ c1_1(X88)
        | ~ c2_1(X88)
        | c3_1(X88) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f275,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_14
    | spl0_18 ),
    inference(avatar_split_clause,[],[f13,f273,f260,f270,f267]) ).

fof(f283,definition,
    ( spl0_21
  <=> ! [X87] :
        ( c3_1(X87)
        | ~ c2_1(X87)
        | ~ c0_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f284,plain,
    ( ! [X87] :
        ( ~ c0_1(X87)
        | ~ c2_1(X87)
        | c3_1(X87) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f287,definition,
    ( spl0_22
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f290,plain,
    ( spl0_16
    | spl0_9
    | ~ spl0_14
    | spl0_21 ),
    inference(avatar_split_clause,[],[f16,f283,f260,f242,f267]) ).

fof(f292,definition,
    ( spl0_23
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f295,definition,
    ( spl0_24
  <=> ! [X84] :
        ( c2_1(X84)
        | ~ c3_1(X84)
        | ~ c1_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f296,plain,
    ( ! [X84] :
        ( ~ c1_1(X84)
        | ~ c3_1(X84)
        | c2_1(X84) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f300,definition,
    ( spl0_25
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f303,definition,
    ( spl0_26
  <=> ! [X82] :
        ( ~ c1_1(X82)
        | ~ c3_1(X82)
        | ~ c2_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f304,plain,
    ( ! [X82] :
        ( ~ c1_1(X82)
        | ~ c3_1(X82)
        | ~ c2_1(X82) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f305,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f186,f295,f260,f303,f300]) ).

fof(f307,definition,
    ( spl0_27
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f310,definition,
    ( spl0_28
  <=> ! [X80] :
        ( c2_1(X80)
        | ~ c3_1(X80)
        | ~ c0_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f311,plain,
    ( ! [X80] :
        ( ~ c0_1(X80)
        | ~ c3_1(X80)
        | c2_1(X80) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f312,plain,
    ( spl0_13
    | spl0_27
    | ~ spl0_14
    | spl0_28 ),
    inference(avatar_split_clause,[],[f20,f310,f260,f307,f257]) ).

fof(f313,plain,
    ( spl0_7
    | spl0_5
    | ~ spl0_14
    | spl0_28 ),
    inference(avatar_split_clause,[],[f21,f310,f260,f228,f235]) ).

fof(f315,definition,
    ( spl0_29
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f318,definition,
    ( spl0_30
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f320,plain,
    ( spl0_29
    | spl0_30
    | ~ spl0_14
    | spl0_28 ),
    inference(avatar_split_clause,[],[f22,f310,f260,f318,f315]) ).

fof(f322,definition,
    ( spl0_31
  <=> ! [X77] :
        ( c2_1(X77)
        | ~ c1_1(X77)
        | c3_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f323,plain,
    ( ! [X77] :
        ( ~ c1_1(X77)
        | c2_1(X77)
        | c3_1(X77) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f326,definition,
    ( spl0_32
  <=> ! [X76] :
        ( c2_1(X76)
        | ~ c0_1(X76)
        | c3_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f327,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | c2_1(X76)
        | c3_1(X76) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f326]) ).

fof(f328,plain,
    ( spl0_27
    | spl0_5
    | ~ spl0_14
    | spl0_32 ),
    inference(avatar_split_clause,[],[f24,f326,f260,f228,f307]) ).

fof(f329,plain,
    ( spl0_6
    | spl0_25
    | ~ spl0_14
    | spl0_32 ),
    inference(avatar_split_clause,[],[f25,f326,f260,f300,f232]) ).

fof(f330,plain,
    ( spl0_30
    | spl0_26
    | ~ spl0_14
    | spl0_32 ),
    inference(avatar_split_clause,[],[f187,f326,f260,f303,f318]) ).

fof(f331,plain,
    ( spl0_21
    | ~ spl0_14
    | spl0_32 ),
    inference(avatar_split_clause,[],[f188,f326,f260,f283]) ).

fof(f333,definition,
    ( spl0_33
  <=> ! [X70] :
        ( c1_1(X70)
        | ~ c3_1(X70)
        | ~ c2_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f334,plain,
    ( ! [X70] :
        ( c1_1(X70)
        | ~ c3_1(X70)
        | ~ c2_1(X70) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f335,plain,
    ( spl0_6
    | spl0_1
    | ~ spl0_14
    | spl0_33 ),
    inference(avatar_split_clause,[],[f28,f333,f260,f215,f232]) ).

fof(f336,plain,
    ( spl0_11
    | spl0_1
    | ~ spl0_14
    | spl0_33 ),
    inference(avatar_split_clause,[],[f29,f333,f260,f215,f250]) ).

fof(f342,definition,
    ( spl0_35
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f345,definition,
    ( spl0_36
  <=> ! [X66] :
        ( c1_1(X66)
        | ~ c3_1(X66)
        | ~ c0_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X66] :
        ( ~ c0_1(X66)
        | ~ c3_1(X66)
        | c1_1(X66) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f347,plain,
    ( spl0_35
    | spl0_10
    | ~ spl0_14
    | spl0_36 ),
    inference(avatar_split_clause,[],[f31,f345,f260,f246,f342]) ).

fof(f349,definition,
    ( spl0_37
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f351,plain,
    ( spl0_1
    | spl0_37
    | ~ spl0_14
    | spl0_36 ),
    inference(avatar_split_clause,[],[f32,f345,f260,f349,f215]) ).

fof(f353,definition,
    ( spl0_38
  <=> ! [X64] :
        ( c2_1(X64)
        | ~ c1_1(X64)
        | ~ c0_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f354,plain,
    ( ! [X64] :
        ( ~ c0_1(X64)
        | ~ c1_1(X64)
        | c2_1(X64) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f356,definition,
    ( spl0_39
  <=> ! [X62] :
        ( c1_1(X62)
        | ~ c2_1(X62)
        | c3_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f357,plain,
    ( ! [X62] :
        ( c1_1(X62)
        | ~ c2_1(X62)
        | c3_1(X62) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f360,definition,
    ( spl0_40
  <=> ! [X60] :
        ( c1_1(X60)
        | ~ c0_1(X60)
        | c3_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f361,plain,
    ( ! [X60] :
        ( ~ c0_1(X60)
        | c1_1(X60)
        | c3_1(X60) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f362,plain,
    ( spl0_11
    | spl0_15
    | ~ spl0_14
    | spl0_40 ),
    inference(avatar_split_clause,[],[f191,f360,f260,f263,f250]) ).

fof(f364,definition,
    ( spl0_41
  <=> ! [X58] :
        ( c1_1(X58)
        | ~ c2_1(X58)
        | ~ c0_1(X58) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f365,plain,
    ( ! [X58] :
        ( ~ c0_1(X58)
        | ~ c2_1(X58)
        | c1_1(X58) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f366,plain,
    ( spl0_21
    | spl0_41
    | ~ spl0_14
    | spl0_40 ),
    inference(avatar_split_clause,[],[f192,f360,f260,f364,f283]) ).

fof(f368,definition,
    ( spl0_42
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f371,definition,
    ( spl0_43
  <=> ! [X56] :
        ( c1_1(X56)
        | ~ c3_1(X56)
        | c2_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f372,plain,
    ( ! [X56] :
        ( c1_1(X56)
        | ~ c3_1(X56)
        | c2_1(X56) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f373,plain,
    ( spl0_42
    | spl0_37
    | ~ spl0_14
    | spl0_43 ),
    inference(avatar_split_clause,[],[f36,f371,f260,f349,f368]) ).

fof(f375,definition,
    ( spl0_44
  <=> ! [X54] :
        ( c1_1(X54)
        | ~ c0_1(X54)
        | c2_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X54] :
        ( ~ c0_1(X54)
        | c1_1(X54)
        | c2_1(X54) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f377,plain,
    ( spl0_22
    | spl0_40
    | ~ spl0_14
    | spl0_44 ),
    inference(avatar_split_clause,[],[f193,f375,f260,f360,f287]) ).

fof(f379,definition,
    ( spl0_45
  <=> ! [X52] :
        ( c1_1(X52)
        | c3_1(X52)
        | c2_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f380,plain,
    ( ! [X52] :
        ( c1_1(X52)
        | c3_1(X52)
        | c2_1(X52) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f383,definition,
    ( spl0_46
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | ~ c2_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f384,plain,
    ( ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | ~ c2_1(X51) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f389,definition,
    ( spl0_47
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c3_1(X45)
        | ~ c1_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X45] :
        ( c0_1(X45)
        | ~ c3_1(X45)
        | ~ c1_1(X45) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f393,definition,
    ( spl0_48
  <=> ! [X42] :
        ( c0_1(X42)
        | ~ c2_1(X42)
        | ~ c1_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f394,plain,
    ( ! [X42] :
        ( c0_1(X42)
        | ~ c2_1(X42)
        | ~ c1_1(X42) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f395,plain,
    ( spl0_26
    | spl0_33
    | ~ spl0_14
    | spl0_48 ),
    inference(avatar_split_clause,[],[f197,f393,f260,f333,f303]) ).

fof(f396,plain,
    ( spl0_15
    | spl0_33
    | ~ spl0_14
    | spl0_48 ),
    inference(avatar_split_clause,[],[f198,f393,f260,f333,f263]) ).

fof(f398,definition,
    ( spl0_49
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f401,definition,
    ( spl0_50
  <=> ! [X38] :
        ( c0_1(X38)
        | ~ c2_1(X38)
        | c3_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X38] :
        ( c0_1(X38)
        | ~ c2_1(X38)
        | c3_1(X38) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f403,plain,
    ( spl0_23
    | spl0_49
    | ~ spl0_14
    | spl0_50 ),
    inference(avatar_split_clause,[],[f45,f401,f260,f398,f292]) ).

fof(f405,definition,
    ( spl0_51
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f408,definition,
    ( spl0_52
  <=> ! [X37] :
        ( c0_1(X37)
        | ~ c1_1(X37)
        | c3_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X37] :
        ( c0_1(X37)
        | ~ c1_1(X37)
        | c3_1(X37) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f410,plain,
    ( spl0_51
    | spl0_22
    | ~ spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f46,f408,f260,f287,f405]) ).

fof(f411,plain,
    ( spl0_49
    | spl0_24
    | ~ spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f199,f408,f260,f295,f398]) ).

fof(f413,definition,
    ( spl0_53
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f415,plain,
    ( spl0_53
    | spl0_33
    | ~ spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f200,f408,f260,f333,f413]) ).

fof(f416,plain,
    ( spl0_30
    | spl0_47
    | ~ spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f201,f408,f260,f389,f318]) ).

fof(f417,plain,
    ( spl0_44
    | spl0_48
    | ~ spl0_14
    | spl0_52 ),
    inference(avatar_split_clause,[],[f202,f408,f260,f393,f375]) ).

fof(f419,definition,
    ( spl0_54
  <=> ! [X26] :
        ( c0_1(X26)
        | ~ c3_1(X26)
        | c2_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f420,plain,
    ( ! [X26] :
        ( c0_1(X26)
        | ~ c3_1(X26)
        | c2_1(X26) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f421,plain,
    ( spl0_17
    | spl0_38
    | ~ spl0_14
    | spl0_54 ),
    inference(avatar_split_clause,[],[f203,f419,f260,f353,f270]) ).

fof(f432,definition,
    ( spl0_57
  <=> ! [X17] :
        ( c0_1(X17)
        | ~ c3_1(X17)
        | c1_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X17] :
        ( c0_1(X17)
        | ~ c3_1(X17)
        | c1_1(X17) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( spl0_23
    | spl0_26
    | ~ spl0_14
    | spl0_57 ),
    inference(avatar_split_clause,[],[f207,f432,f260,f303,f292]) ).

fof(f435,plain,
    ( spl0_25
    | spl0_15
    | ~ spl0_14
    | spl0_57 ),
    inference(avatar_split_clause,[],[f208,f432,f260,f263,f300]) ).

fof(f437,plain,
    ( spl0_8
    | spl0_31
    | ~ spl0_14
    | spl0_57 ),
    inference(avatar_split_clause,[],[f210,f432,f260,f322,f238]) ).

fof(f439,definition,
    ( spl0_58
  <=> ! [X10] :
        ( c0_1(X10)
        | ~ c2_1(X10)
        | c1_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f440,plain,
    ( ! [X10] :
        ( c0_1(X10)
        | ~ c2_1(X10)
        | c1_1(X10) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f441,plain,
    ( spl0_8
    | spl0_49
    | ~ spl0_14
    | spl0_58 ),
    inference(avatar_split_clause,[],[f59,f439,f260,f398,f238]) ).

fof(f442,plain,
    ( spl0_27
    | spl0_39
    | ~ spl0_14
    | spl0_58 ),
    inference(avatar_split_clause,[],[f211,f439,f260,f356,f307]) ).

fof(f444,definition,
    ( spl0_59
  <=> ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f445,plain,
    ( ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f447,plain,
    ( spl0_4
    | spl0_8
    | ~ spl0_14
    | spl0_59 ),
    inference(avatar_split_clause,[],[f62,f444,f260,f238,f225]) ).

fof(f448,plain,
    ( spl0_9
    | spl0_46
    | ~ spl0_14
    | spl0_59 ),
    inference(avatar_split_clause,[],[f212,f444,f260,f383,f242]) ).

fof(f458,definition,
    ( spl0_62
  <=> c3_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f461,plain,
    ( spl0_62
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f66,f267,f458]) ).

fof(f463,definition,
    ( spl0_63
  <=> c2_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f465,plain,
    ( spl0_63
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f67,f267,f463]) ).

fof(f467,definition,
    ( spl0_64
  <=> c1_1(a688) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f468,plain,
    ( c1_1(a688)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f469,plain,
    ( spl0_64
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f68,f267,f467]) ).

fof(f473,definition,
    ( spl0_65
  <=> c2_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f476,plain,
    ( spl0_65
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f70,f349,f473]) ).

fof(f478,definition,
    ( spl0_66
  <=> c1_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f479,plain,
    ( c1_1(a671)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f480,plain,
    ( spl0_66
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f71,f349,f478]) ).

fof(f482,definition,
    ( spl0_67
  <=> c0_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f483,plain,
    ( c0_1(a671)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f484,plain,
    ( spl0_67
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f72,f349,f482]) ).

fof(f492,definition,
    ( spl0_69
  <=> c2_1(a655) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f494,plain,
    ( spl0_69
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f75,f413,f492]) ).

fof(f496,definition,
    ( spl0_70
  <=> c0_1(a655) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f497,plain,
    ( c0_1(a655)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f498,plain,
    ( spl0_70
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f76,f413,f496]) ).

fof(f529,definition,
    ( spl0_77
  <=> c2_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f532,plain,
    ( ~ spl0_77
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f86,f221,f529]) ).

fof(f534,definition,
    ( spl0_78
  <=> c0_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ c0_1(a698)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f536,plain,
    ( ~ spl0_78
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f87,f221,f534]) ).

fof(f538,definition,
    ( spl0_79
  <=> c1_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f539,plain,
    ( c1_1(a698)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f540,plain,
    ( spl0_79
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f88,f221,f538]) ).

fof(f543,definition,
    ( spl0_80
  <=> c3_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f546,plain,
    ( ~ spl0_80
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f90,f257,f543]) ).

fof(f548,definition,
    ( spl0_81
  <=> c0_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f549,plain,
    ( ~ c0_1(a695)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f550,plain,
    ( ~ spl0_81
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f91,f257,f548]) ).

fof(f552,definition,
    ( spl0_82
  <=> c2_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f554,plain,
    ( spl0_82
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f92,f257,f552]) ).

fof(f557,definition,
    ( spl0_83
  <=> c0_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ c0_1(a693)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f560,plain,
    ( ~ spl0_83
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f94,f235,f557]) ).

fof(f562,definition,
    ( spl0_84
  <=> c3_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f564,plain,
    ( spl0_84
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f95,f235,f562]) ).

fof(f566,definition,
    ( spl0_85
  <=> c2_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f568,plain,
    ( spl0_85
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f96,f235,f566]) ).

fof(f571,definition,
    ( spl0_86
  <=> c3_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f574,plain,
    ( ~ spl0_86
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f98,f315,f571]) ).

fof(f576,definition,
    ( spl0_87
  <=> c1_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f578,plain,
    ( ~ spl0_87
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f99,f315,f576]) ).

fof(f580,definition,
    ( spl0_88
  <=> c0_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f581,plain,
    ( ~ c0_1(a691)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f582,plain,
    ( ~ spl0_88
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f100,f315,f580]) ).

fof(f585,definition,
    ( spl0_89
  <=> c3_1(a686) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f588,plain,
    ( ~ spl0_89
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f102,f228,f585]) ).

fof(f590,definition,
    ( spl0_90
  <=> c2_1(a686) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f592,plain,
    ( spl0_90
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f103,f228,f590]) ).

fof(f594,definition,
    ( spl0_91
  <=> c1_1(a686) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f595,plain,
    ( c1_1(a686)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f596,plain,
    ( spl0_91
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f104,f228,f594]) ).

fof(f599,definition,
    ( spl0_92
  <=> c2_1(a682) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f602,plain,
    ( ~ spl0_92
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f106,f232,f599]) ).

fof(f604,definition,
    ( spl0_93
  <=> c1_1(a682) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ c1_1(a682)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f606,plain,
    ( ~ spl0_93
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f107,f232,f604]) ).

fof(f608,definition,
    ( spl0_94
  <=> c3_1(a682) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f610,plain,
    ( spl0_94
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f108,f232,f608]) ).

fof(f613,definition,
    ( spl0_95
  <=> c2_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f616,plain,
    ( ~ spl0_95
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f110,f246,f613]) ).

fof(f618,definition,
    ( spl0_96
  <=> c1_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f619,plain,
    ( c1_1(a676)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f620,plain,
    ( spl0_96
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f111,f246,f618]) ).

fof(f622,definition,
    ( spl0_97
  <=> c0_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f623,plain,
    ( c0_1(a676)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f622]) ).

fof(f624,plain,
    ( spl0_97
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f112,f246,f622]) ).

fof(f627,definition,
    ( spl0_98
  <=> c3_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f630,plain,
    ( ~ spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f114,f215,f627]) ).

fof(f632,definition,
    ( spl0_99
  <=> c1_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ c1_1(a675)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f634,plain,
    ( ~ spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f115,f215,f632]) ).

fof(f636,definition,
    ( spl0_100
  <=> c2_1(a675) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f638,plain,
    ( spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f116,f215,f636]) ).

fof(f639,plain,
    ( spl0_14
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f117,f215,f260]) ).

fof(f641,definition,
    ( spl0_101
  <=> c3_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f644,plain,
    ( ~ spl0_101
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f118,f368,f641]) ).

fof(f646,definition,
    ( spl0_102
  <=> c2_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f648,plain,
    ( ~ spl0_102
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f119,f368,f646]) ).

fof(f650,definition,
    ( spl0_103
  <=> c1_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f651,plain,
    ( c1_1(a672)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f652,plain,
    ( spl0_103
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f120,f368,f650]) ).

fof(f669,definition,
    ( spl0_107
  <=> c1_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f670,plain,
    ( ~ c1_1(a665)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f672,plain,
    ( ~ spl0_107
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f126,f218,f669]) ).

fof(f674,definition,
    ( spl0_108
  <=> c0_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f675,plain,
    ( ~ c0_1(a665)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f676,plain,
    ( ~ spl0_108
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f127,f218,f674]) ).

fof(f678,definition,
    ( spl0_109
  <=> c2_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f680,plain,
    ( spl0_109
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f128,f218,f678]) ).

fof(f681,plain,
    ( spl0_14
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f129,f218,f260]) ).

fof(f683,definition,
    ( spl0_110
  <=> c3_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f686,plain,
    ( ~ spl0_110
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f130,f405,f683]) ).

fof(f688,definition,
    ( spl0_111
  <=> c1_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f690,plain,
    ( ~ spl0_111
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f131,f405,f688]) ).

fof(f692,definition,
    ( spl0_112
  <=> c0_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f693,plain,
    ( c0_1(a661)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f694,plain,
    ( spl0_112
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f132,f405,f692]) ).

fof(f697,definition,
    ( spl0_113
  <=> c2_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f700,plain,
    ( ~ spl0_113
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f134,f287,f697]) ).

fof(f702,definition,
    ( spl0_114
  <=> c1_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f704,plain,
    ( ~ spl0_114
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f135,f287,f702]) ).

fof(f706,definition,
    ( spl0_115
  <=> c0_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f707,plain,
    ( c0_1(a660)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f708,plain,
    ( spl0_115
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f136,f287,f706]) ).

fof(f711,definition,
    ( spl0_116
  <=> c3_1(a657) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f714,plain,
    ( ~ spl0_116
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f138,f318,f711]) ).

fof(f716,definition,
    ( spl0_117
  <=> c2_1(a657) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f718,plain,
    ( spl0_117
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f139,f318,f716]) ).

fof(f720,definition,
    ( spl0_118
  <=> c0_1(a657) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f721,plain,
    ( c0_1(a657)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f722,plain,
    ( spl0_118
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f140,f318,f720]) ).

fof(f725,definition,
    ( spl0_119
  <=> c1_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f726,plain,
    ( ~ c1_1(a656)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f728,plain,
    ( ~ spl0_119
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f142,f270,f725]) ).

fof(f730,definition,
    ( spl0_120
  <=> c2_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f732,plain,
    ( spl0_120
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f143,f270,f730]) ).

fof(f734,definition,
    ( spl0_121
  <=> c0_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f735,plain,
    ( c0_1(a656)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f736,plain,
    ( spl0_121
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f144,f270,f734]) ).

fof(f753,definition,
    ( spl0_125
  <=> c2_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f756,plain,
    ( ~ spl0_125
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f150,f300,f753]) ).

fof(f758,definition,
    ( spl0_126
  <=> c3_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f760,plain,
    ( spl0_126
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f151,f300,f758]) ).

fof(f762,definition,
    ( spl0_127
  <=> c0_1(a652) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f763,plain,
    ( c0_1(a652)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f764,plain,
    ( spl0_127
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f152,f300,f762]) ).

fof(f767,definition,
    ( spl0_128
  <=> c1_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f770,plain,
    ( ~ spl0_128
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f154,f250,f767]) ).

fof(f772,definition,
    ( spl0_129
  <=> c0_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f773,plain,
    ( ~ c0_1(a651)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f774,plain,
    ( ~ spl0_129
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f155,f250,f772]) ).

fof(f776,definition,
    ( spl0_130
  <=> c3_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f778,plain,
    ( spl0_130
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f156,f250,f776]) ).

fof(f781,definition,
    ( spl0_131
  <=> c3_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f784,plain,
    ( ~ spl0_131
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f158,f398,f781]) ).

fof(f786,definition,
    ( spl0_132
  <=> c2_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f788,plain,
    ( ~ spl0_132
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f159,f398,f786]) ).

fof(f790,definition,
    ( spl0_133
  <=> c0_1(a648) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f791,plain,
    ( c0_1(a648)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f792,plain,
    ( spl0_133
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f160,f398,f790]) ).

fof(f795,definition,
    ( spl0_134
  <=> c3_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f798,plain,
    ( ~ spl0_134
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f162,f307,f795]) ).

fof(f800,definition,
    ( spl0_135
  <=> c0_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f801,plain,
    ( ~ c0_1(a647)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f802,plain,
    ( ~ spl0_135
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f163,f307,f800]) ).

fof(f804,definition,
    ( spl0_136
  <=> c1_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f805,plain,
    ( c1_1(a647)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f806,plain,
    ( spl0_136
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f164,f307,f804]) ).

fof(f809,definition,
    ( spl0_137
  <=> c3_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f812,plain,
    ( ~ spl0_137
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f166,f342,f809]) ).

fof(f814,definition,
    ( spl0_138
  <=> c2_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f816,plain,
    ( ~ spl0_138
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f167,f342,f814]) ).

fof(f818,definition,
    ( spl0_139
  <=> c1_1(a646) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f819,plain,
    ( ~ c1_1(a646)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f820,plain,
    ( ~ spl0_139
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f168,f342,f818]) ).

fof(f823,definition,
    ( spl0_140
  <=> c2_1(a645) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f826,plain,
    ( ~ spl0_140
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f170,f292,f823]) ).

fof(f828,definition,
    ( spl0_141
  <=> c3_1(a645) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f830,plain,
    ( spl0_141
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f171,f292,f828]) ).

fof(f832,definition,
    ( spl0_142
  <=> c1_1(a645) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f833,plain,
    ( c1_1(a645)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f834,plain,
    ( spl0_142
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f172,f292,f832]) ).

fof(f837,definition,
    ( spl0_143
  <=> c0_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f838,plain,
    ( ~ c0_1(a643)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f840,plain,
    ( ~ spl0_143
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f174,f238,f837]) ).

fof(f842,definition,
    ( spl0_144
  <=> c2_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f844,plain,
    ( spl0_144
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f175,f238,f842]) ).

fof(f846,definition,
    ( spl0_145
  <=> c1_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f847,plain,
    ( c1_1(a643)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f846]) ).

fof(f848,plain,
    ( spl0_145
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f176,f238,f846]) ).

fof(f851,definition,
    ( spl0_146
  <=> c1_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f852,plain,
    ( ~ c1_1(a642)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( ~ spl0_146
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f178,f242,f851]) ).

fof(f856,definition,
    ( spl0_147
  <=> c3_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f858,plain,
    ( spl0_147
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f179,f242,f856]) ).

fof(f860,definition,
    ( spl0_148
  <=> c0_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f861,plain,
    ( c0_1(a642)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f862,plain,
    ( spl0_148
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f180,f242,f860]) ).

fof(f863,plain,
    ( spl0_14
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f181,f242,f260]) ).

fof(f865,definition,
    ( spl0_149
  <=> c1_1(a641) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f866,plain,
    ( ~ c1_1(a641)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f868,plain,
    ( ~ spl0_149
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f182,f225,f865]) ).

fof(f870,definition,
    ( spl0_150
  <=> c3_1(a641) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f872,plain,
    ( spl0_150
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f183,f225,f870]) ).

fof(f874,definition,
    ( spl0_151
  <=> c2_1(a641) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f876,plain,
    ( spl0_151
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f184,f225,f874]) ).

fof(f883,plain,
    ( ~ c3_1(a676)
    | c2_1(a676)
    | ~ spl0_24
    | ~ spl0_96 ),
    inference(resolution,[],[f296,f619]) ).

fof(f886,definition,
    ( spl0_152
  <=> c3_1(a676) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f891,definition,
    ( spl0_153
  <=> c3_1(a698) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f896,plain,
    ( ~ c3_1(a676)
    | c2_1(a676)
    | ~ spl0_28
    | ~ spl0_97 ),
    inference(resolution,[],[f311,f623]) ).

fof(f903,plain,
    ( ~ c3_1(a688)
    | ~ c2_1(a688)
    | ~ spl0_26
    | ~ spl0_64 ),
    inference(resolution,[],[f468,f304]) ).

fof(f917,plain,
    ( ~ c2_1(a657)
    | c3_1(a657)
    | ~ spl0_21
    | ~ spl0_118 ),
    inference(resolution,[],[f721,f284]) ).

fof(f931,plain,
    ( ~ c3_1(a665)
    | ~ c2_1(a665)
    | ~ spl0_33
    | spl0_107 ),
    inference(resolution,[],[f334,f670]) ).

fof(f936,definition,
    ( spl0_155
  <=> c3_1(a665) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f938,plain,
    ( ~ spl0_109
    | ~ spl0_155
    | ~ spl0_33
    | spl0_107 ),
    inference(avatar_split_clause,[],[f931,f669,f333,f936,f678]) ).

fof(f958,plain,
    ( ~ c3_1(a682)
    | c2_1(a682)
    | ~ spl0_43
    | spl0_93 ),
    inference(resolution,[],[f372,f605]) ).

fof(f962,plain,
    ( spl0_92
    | ~ spl0_94
    | ~ spl0_43
    | spl0_93 ),
    inference(avatar_split_clause,[],[f958,f604,f371,f608,f599]) ).

fof(f970,plain,
    ( ~ c3_1(a642)
    | c2_1(a642)
    | ~ spl0_43
    | spl0_146 ),
    inference(resolution,[],[f852,f372]) ).

fof(f973,definition,
    ( spl0_158
  <=> c2_1(a642) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f979,plain,
    ( spl0_95
    | ~ spl0_152
    | ~ spl0_28
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f896,f622,f310,f886,f613]) ).

fof(f992,definition,
    ( spl0_159
  <=> c3_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1012,plain,
    ( ~ c3_1(a642)
    | c1_1(a642)
    | ~ spl0_36
    | ~ spl0_148 ),
    inference(resolution,[],[f861,f346]) ).

fof(f1015,plain,
    ( spl0_146
    | ~ spl0_147
    | ~ spl0_36
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1012,f860,f345,f856,f851]) ).

fof(f1016,plain,
    ( c1_1(a642)
    | c2_1(a642)
    | ~ spl0_44
    | ~ spl0_148 ),
    inference(resolution,[],[f376,f861]) ).

fof(f1036,plain,
    ( ~ c2_1(a665)
    | c3_1(a665)
    | ~ spl0_50
    | spl0_108 ),
    inference(resolution,[],[f402,f675]) ).

fof(f1085,definition,
    ( spl0_163
  <=> c1_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1086,plain,
    ( ~ c1_1(a695)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f1099,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_44
    | ~ spl0_54 ),
    inference(resolution,[],[f420,f376]) ).

fof(f1113,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_44
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1099]) ).

fof(f1126,definition,
    ( spl0_165
  <=> c3_1(a643) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1173,plain,
    ( spl0_116
    | ~ spl0_117
    | ~ spl0_21
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f917,f720,f283,f716,f711]) ).

fof(f1184,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_21
    | ~ spl0_52 ),
    inference(resolution,[],[f284,f409]) ).

fof(f1190,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_21
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1184]) ).

fof(f1192,plain,
    ( spl0_18
    | ~ spl0_21
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1190,f408,f283,f273]) ).

fof(f1210,definition,
    ( spl0_166
  <=> c3_1(a660) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1214,plain,
    ( c1_1(a660)
    | c2_1(a660)
    | ~ spl0_44
    | ~ spl0_115 ),
    inference(resolution,[],[f707,f376]) ).

fof(f1218,plain,
    ( spl0_113
    | spl0_114
    | ~ spl0_44
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1214,f706,f375,f702,f697]) ).

fof(f1232,definition,
    ( spl0_167
  <=> c2_1(a647) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1289,plain,
    ( ~ c3_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_33
    | spl0_119 ),
    inference(resolution,[],[f726,f334]) ).

fof(f1291,plain,
    ( ~ c3_1(a656)
    | c1_1(a656)
    | ~ spl0_36
    | ~ spl0_121 ),
    inference(resolution,[],[f735,f346]) ).

fof(f1292,plain,
    ( spl0_119
    | ~ spl0_159
    | ~ spl0_36
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1291,f734,f345,f992,f725]) ).

fof(f1304,plain,
    ( c2_1(a647)
    | c3_1(a647)
    | ~ spl0_31
    | ~ spl0_136 ),
    inference(resolution,[],[f323,f805]) ).

fof(f1312,plain,
    ( c2_1(a648)
    | c3_1(a648)
    | ~ spl0_32
    | ~ spl0_133 ),
    inference(resolution,[],[f327,f791]) ).

fof(f1324,plain,
    ( ~ c2_1(a656)
    | c1_1(a656)
    | ~ spl0_41
    | ~ spl0_121 ),
    inference(resolution,[],[f365,f735]) ).

fof(f1326,plain,
    ( spl0_119
    | ~ spl0_120
    | ~ spl0_41
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1324,f734,f364,f730,f725]) ).

fof(f1332,plain,
    ( spl0_95
    | ~ spl0_152
    | ~ spl0_24
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f883,f618,f295,f886,f613]) ).

fof(f1335,plain,
    ( ~ spl0_63
    | ~ spl0_62
    | ~ spl0_26
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f903,f467,f303,f458,f463]) ).

fof(f1359,plain,
    ( ~ c2_1(a686)
    | c3_1(a686)
    | ~ spl0_18
    | ~ spl0_91 ),
    inference(resolution,[],[f274,f595]) ).

fof(f1366,definition,
    ( spl0_169
  <=> c3_1(a671) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1369,plain,
    ( spl0_89
    | ~ spl0_90
    | ~ spl0_18
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1359,f594,f273,f590,f585]) ).

fof(f1421,plain,
    ( ~ c3_1(a693)
    | ~ c2_1(a693)
    | ~ spl0_46
    | spl0_83 ),
    inference(resolution,[],[f384,f558]) ).

fof(f1446,definition,
    ( spl0_170
  <=> c2_1(a661) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1470,definition,
    ( spl0_171
  <=> c1_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1475,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_21
    | ~ spl0_48 ),
    inference(resolution,[],[f394,f284]) ).

fof(f1484,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_21
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1475]) ).

fof(f1535,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_28
    | ~ spl0_57 ),
    inference(resolution,[],[f311,f433]) ).

fof(f1540,plain,
    ( ~ c3_1(a652)
    | c2_1(a652)
    | ~ spl0_28
    | ~ spl0_127 ),
    inference(resolution,[],[f311,f763]) ).

fof(f1541,plain,
    ( ~ c3_1(a660)
    | c2_1(a660)
    | ~ spl0_28
    | ~ spl0_115 ),
    inference(resolution,[],[f311,f707]) ).

fof(f1546,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_28
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f1535]) ).

fof(f1548,plain,
    ( spl0_113
    | ~ spl0_166
    | ~ spl0_28
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1541,f706,f310,f1210,f697]) ).

fof(f1549,plain,
    ( spl0_125
    | ~ spl0_126
    | ~ spl0_28
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1540,f762,f310,f758,f753]) ).

fof(f1550,plain,
    ( spl0_43
    | ~ spl0_28
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1546,f432,f310,f371]) ).

fof(f1554,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_32
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1312,f790,f326,f786,f781]) ).

fof(f1558,plain,
    ( spl0_155
    | ~ spl0_109
    | ~ spl0_50
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1036,f674,f401,f678,f936]) ).

fof(f1569,definition,
    ( spl0_172
  <=> c1_1(a655) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1589,plain,
    ( ~ c2_1(a643)
    | ~ c1_1(a643)
    | ~ spl0_48
    | spl0_143 ),
    inference(resolution,[],[f838,f394]) ).

fof(f1590,plain,
    ( ~ spl0_145
    | ~ spl0_144
    | ~ spl0_48
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1589,f837,f393,f842,f846]) ).

fof(f1598,plain,
    ( spl0_158
    | spl0_146
    | ~ spl0_44
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1016,f860,f375,f851,f973]) ).

fof(f1600,plain,
    ( spl0_43
    | ~ spl0_44
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1113,f419,f375,f371]) ).

fof(f1609,plain,
    ( ~ c2_1(a655)
    | ~ c1_1(a655)
    | ~ spl0_15
    | ~ spl0_70 ),
    inference(resolution,[],[f264,f497]) ).

fof(f1610,plain,
    ( ~ c2_1(a671)
    | ~ c1_1(a671)
    | ~ spl0_15
    | ~ spl0_67 ),
    inference(resolution,[],[f264,f483]) ).

fof(f1611,plain,
    ( ~ spl0_66
    | ~ spl0_65
    | ~ spl0_15
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1610,f482,f263,f473,f478]) ).

fof(f1615,plain,
    ( ~ c2_1(a656)
    | c3_1(a656)
    | ~ spl0_21
    | ~ spl0_121 ),
    inference(resolution,[],[f284,f735]) ).

fof(f1621,plain,
    ( spl0_159
    | ~ spl0_120
    | ~ spl0_21
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1615,f734,f283,f730,f992]) ).

fof(f1639,plain,
    ( c1_1(a661)
    | c2_1(a661)
    | ~ spl0_44
    | ~ spl0_112 ),
    inference(resolution,[],[f376,f693]) ).

fof(f1642,plain,
    ( spl0_170
    | spl0_111
    | ~ spl0_44
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1639,f692,f375,f688,f1446]) ).

fof(f1687,plain,
    ( c2_1(a672)
    | c3_1(a672)
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(resolution,[],[f323,f651]) ).

fof(f1690,plain,
    ( c2_1(a698)
    | c3_1(a698)
    | ~ spl0_31
    | ~ spl0_79 ),
    inference(resolution,[],[f323,f539]) ).

fof(f1697,plain,
    ( spl0_101
    | spl0_102
    | ~ spl0_31
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1687,f650,f322,f646,f641]) ).

fof(f1701,plain,
    ( c2_1(a660)
    | c3_1(a660)
    | ~ spl0_32
    | ~ spl0_115 ),
    inference(resolution,[],[f327,f707]) ).

fof(f1703,plain,
    ( c2_1(a676)
    | c3_1(a676)
    | ~ spl0_32
    | ~ spl0_97 ),
    inference(resolution,[],[f327,f623]) ).

fof(f1706,plain,
    ( spl0_152
    | spl0_95
    | ~ spl0_32
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1703,f622,f326,f613,f886]) ).

fof(f1728,plain,
    ( ~ c2_1(a665)
    | c3_1(a665)
    | ~ spl0_39
    | spl0_107 ),
    inference(resolution,[],[f357,f670]) ).

fof(f1729,plain,
    ( ~ c2_1(a675)
    | c3_1(a675)
    | ~ spl0_39
    | spl0_99 ),
    inference(resolution,[],[f357,f633]) ).

fof(f1735,plain,
    ( spl0_98
    | ~ spl0_100
    | ~ spl0_39
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1729,f632,f356,f636,f627]) ).

fof(f1736,plain,
    ( spl0_155
    | ~ spl0_109
    | ~ spl0_39
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1728,f669,f356,f678,f936]) ).

fof(f1752,plain,
    ( c3_1(a646)
    | c2_1(a646)
    | ~ spl0_45
    | spl0_139 ),
    inference(resolution,[],[f380,f819]) ).

fof(f1769,plain,
    ( spl0_138
    | spl0_137
    | ~ spl0_45
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1752,f818,f379,f809,f814]) ).

fof(f1791,plain,
    ( ~ c1_1(a647)
    | c3_1(a647)
    | ~ spl0_52
    | spl0_135 ),
    inference(resolution,[],[f409,f801]) ).

fof(f1798,plain,
    ( ~ c1_1(a695)
    | c3_1(a695)
    | ~ spl0_52
    | spl0_81 ),
    inference(resolution,[],[f409,f549]) ).

fof(f1804,plain,
    ( spl0_80
    | ~ spl0_163
    | ~ spl0_52
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1798,f548,f408,f1085,f543]) ).

fof(f1805,plain,
    ( spl0_134
    | ~ spl0_136
    | ~ spl0_52
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1791,f800,f408,f804,f795]) ).

fof(f1810,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_40
    | ~ spl0_58 ),
    inference(resolution,[],[f440,f361]) ).

fof(f1815,plain,
    ( ~ c2_1(a665)
    | c1_1(a665)
    | ~ spl0_58
    | spl0_108 ),
    inference(resolution,[],[f440,f675]) ).

fof(f1819,plain,
    ( ~ c2_1(a695)
    | c1_1(a695)
    | ~ spl0_58
    | spl0_81 ),
    inference(resolution,[],[f440,f549]) ).

fof(f1821,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_40
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f1810]) ).

fof(f1823,plain,
    ( spl0_163
    | ~ spl0_82
    | ~ spl0_58
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1819,f548,f439,f552,f1085]) ).

fof(f1847,plain,
    ( ~ spl0_120
    | ~ spl0_159
    | ~ spl0_33
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1289,f725,f333,f992,f730]) ).

fof(f1852,plain,
    ( ~ c1_1(a643)
    | c3_1(a643)
    | ~ spl0_52
    | spl0_143 ),
    inference(resolution,[],[f838,f409]) ).

fof(f1853,plain,
    ( spl0_165
    | ~ spl0_145
    | ~ spl0_52
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1852,f837,f408,f846,f1126]) ).

fof(f1855,plain,
    ( ~ c2_1(a643)
    | c3_1(a643)
    | ~ spl0_18
    | ~ spl0_145 ),
    inference(resolution,[],[f274,f847]) ).

fof(f1864,plain,
    ( spl0_165
    | ~ spl0_144
    | ~ spl0_18
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1855,f846,f273,f842,f1126]) ).

fof(f1872,plain,
    ( ~ c2_1(a661)
    | c3_1(a661)
    | ~ spl0_21
    | ~ spl0_112 ),
    inference(resolution,[],[f284,f693]) ).

fof(f1875,plain,
    ( ~ c2_1(a671)
    | c3_1(a671)
    | ~ spl0_21
    | ~ spl0_67 ),
    inference(resolution,[],[f284,f483]) ).

fof(f1877,plain,
    ( spl0_169
    | ~ spl0_65
    | ~ spl0_21
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1875,f482,f283,f473,f1366]) ).

fof(f1878,plain,
    ( spl0_110
    | ~ spl0_170
    | ~ spl0_21
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1872,f692,f283,f1446,f683]) ).

fof(f1881,plain,
    ( ~ c3_1(a641)
    | ~ c2_1(a641)
    | ~ spl0_33
    | spl0_149 ),
    inference(resolution,[],[f334,f866]) ).

fof(f1882,plain,
    ( ~ c3_1(a642)
    | ~ c2_1(a642)
    | ~ spl0_33
    | spl0_146 ),
    inference(resolution,[],[f334,f852]) ).

fof(f1893,plain,
    ( ~ spl0_158
    | ~ spl0_147
    | ~ spl0_33
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1882,f851,f333,f856,f973]) ).

fof(f1894,plain,
    ( ~ spl0_151
    | ~ spl0_150
    | ~ spl0_33
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1881,f865,f333,f870,f874]) ).

fof(f1900,plain,
    ( ~ c1_1(a676)
    | c2_1(a676)
    | ~ spl0_38
    | ~ spl0_97 ),
    inference(resolution,[],[f354,f623]) ).

fof(f1904,plain,
    ( spl0_95
    | ~ spl0_96
    | ~ spl0_38
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1900,f622,f353,f618,f613]) ).

fof(f1934,plain,
    ( ~ c2_1(a642)
    | c1_1(a642)
    | ~ spl0_41
    | ~ spl0_148 ),
    inference(resolution,[],[f365,f861]) ).

fof(f1937,plain,
    ( ~ c2_1(a661)
    | c1_1(a661)
    | ~ spl0_41
    | ~ spl0_112 ),
    inference(resolution,[],[f365,f693]) ).

fof(f1939,plain,
    ( ~ c2_1(a655)
    | c1_1(a655)
    | ~ spl0_41
    | ~ spl0_70 ),
    inference(resolution,[],[f365,f497]) ).

fof(f1944,plain,
    ( spl0_146
    | ~ spl0_158
    | ~ spl0_41
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1934,f860,f364,f973,f851]) ).

fof(f1978,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_32
    | ~ spl0_59 ),
    inference(resolution,[],[f445,f327]) ).

fof(f1985,plain,
    ( c3_1(a691)
    | c1_1(a691)
    | ~ spl0_59
    | spl0_88 ),
    inference(resolution,[],[f445,f581]) ).

fof(f1989,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_32
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f1978]) ).

fof(f1992,plain,
    ( spl0_87
    | spl0_86
    | ~ spl0_59
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1985,f580,f444,f571,f576]) ).

fof(f1994,plain,
    ( spl0_45
    | ~ spl0_32
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1989,f444,f326,f379]) ).

fof(f2033,plain,
    ( spl0_111
    | ~ spl0_170
    | ~ spl0_41
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1937,f692,f364,f1446,f688]) ).

fof(f2034,plain,
    ( spl0_172
    | ~ spl0_69
    | ~ spl0_41
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1939,f496,f364,f492,f1569]) ).

fof(f2039,plain,
    ( ~ c2_1(a695)
    | c3_1(a695)
    | ~ spl0_39
    | spl0_163 ),
    inference(resolution,[],[f1086,f357]) ).

fof(f2040,plain,
    ( spl0_80
    | ~ spl0_82
    | ~ spl0_39
    | spl0_163 ),
    inference(avatar_split_clause,[],[f2039,f1085,f356,f552,f543]) ).

fof(f2087,plain,
    ( spl0_107
    | ~ spl0_109
    | ~ spl0_58
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1815,f674,f439,f678,f669]) ).

fof(f2106,plain,
    ( ~ c3_1(a645)
    | c2_1(a645)
    | ~ spl0_24
    | ~ spl0_142 ),
    inference(resolution,[],[f296,f833]) ).

fof(f2111,plain,
    ( ~ c3_1(a698)
    | c2_1(a698)
    | ~ spl0_24
    | ~ spl0_79 ),
    inference(resolution,[],[f296,f539]) ).

fof(f2116,plain,
    ( ~ c3_1(a643)
    | ~ c2_1(a643)
    | ~ spl0_26
    | ~ spl0_145 ),
    inference(resolution,[],[f304,f847]) ).

fof(f2123,plain,
    ( ~ c3_1(a671)
    | ~ c2_1(a671)
    | ~ spl0_26
    | ~ spl0_66 ),
    inference(resolution,[],[f304,f479]) ).

fof(f2125,plain,
    ( ~ spl0_65
    | ~ spl0_169
    | ~ spl0_26
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f2123,f478,f303,f1366,f473]) ).

fof(f2127,plain,
    ( ~ spl0_144
    | ~ spl0_165
    | ~ spl0_26
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2116,f846,f303,f1126,f842]) ).

fof(f2133,plain,
    ( c1_1(a661)
    | c3_1(a661)
    | ~ spl0_40
    | ~ spl0_112 ),
    inference(resolution,[],[f361,f693]) ).

fof(f2137,plain,
    ( spl0_110
    | spl0_111
    | ~ spl0_40
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2133,f692,f360,f688,f683]) ).

fof(f2147,plain,
    ( ~ c3_1(a698)
    | ~ c1_1(a698)
    | ~ spl0_47
    | spl0_78 ),
    inference(resolution,[],[f390,f535]) ).

fof(f2152,plain,
    ( ~ c2_1(a647)
    | ~ c1_1(a647)
    | ~ spl0_48
    | spl0_135 ),
    inference(resolution,[],[f394,f801]) ).

fof(f2156,plain,
    ( ~ c2_1(a693)
    | ~ c1_1(a693)
    | ~ spl0_48
    | spl0_83 ),
    inference(resolution,[],[f394,f558]) ).

fof(f2198,plain,
    ( ~ c3_1(a651)
    | c1_1(a651)
    | ~ spl0_57
    | spl0_129 ),
    inference(resolution,[],[f433,f773]) ).

fof(f2201,plain,
    ( ~ c3_1(a693)
    | c1_1(a693)
    | ~ spl0_57
    | spl0_83 ),
    inference(resolution,[],[f433,f558]) ).

fof(f2206,plain,
    ( spl0_171
    | ~ spl0_84
    | ~ spl0_57
    | spl0_83 ),
    inference(avatar_split_clause,[],[f2201,f557,f432,f562,f1470]) ).

fof(f2207,plain,
    ( spl0_128
    | ~ spl0_130
    | ~ spl0_57
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2198,f772,f432,f776,f767]) ).

fof(f2210,plain,
    ( ~ spl0_172
    | ~ spl0_69
    | ~ spl0_15
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1609,f496,f263,f492,f1569]) ).

fof(f2215,plain,
    ( spl0_134
    | spl0_167
    | ~ spl0_31
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1304,f804,f322,f1232,f795]) ).

fof(f2217,plain,
    ( spl0_153
    | spl0_77
    | ~ spl0_31
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1690,f538,f322,f529,f891]) ).

fof(f2223,plain,
    ( spl0_158
    | ~ spl0_147
    | ~ spl0_43
    | spl0_146 ),
    inference(avatar_split_clause,[],[f970,f851,f371,f856,f973]) ).

fof(f2230,plain,
    ( spl0_39
    | ~ spl0_40
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1821,f439,f360,f356]) ).

fof(f2231,plain,
    ( spl0_18
    | ~ spl0_21
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1484,f393,f283,f273]) ).

fof(f2235,plain,
    ( spl0_140
    | ~ spl0_141
    | ~ spl0_24
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2106,f832,f295,f828,f823]) ).

fof(f2236,plain,
    ( spl0_77
    | ~ spl0_153
    | ~ spl0_24
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2111,f538,f295,f891,f529]) ).

fof(f2237,plain,
    ( ~ spl0_85
    | ~ spl0_84
    | ~ spl0_46
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1421,f557,f383,f562,f566]) ).

fof(f2241,plain,
    ( ~ spl0_79
    | ~ spl0_153
    | ~ spl0_47
    | spl0_78 ),
    inference(avatar_split_clause,[],[f2147,f534,f389,f891,f538]) ).

fof(f2247,plain,
    ( ~ spl0_136
    | ~ spl0_167
    | ~ spl0_48
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2152,f800,f393,f1232,f804]) ).

fof(f2248,plain,
    ( ~ spl0_171
    | ~ spl0_85
    | ~ spl0_48
    | spl0_83 ),
    inference(avatar_split_clause,[],[f2156,f557,f393,f566,f1470]) ).

fof(f2255,plain,
    ( spl0_166
    | spl0_113
    | ~ spl0_32
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1701,f706,f326,f697,f1210]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f223]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f240]) ).

cnf(s4,plain,
    ( spl0_1
    | spl0_2
    | spl0_9 ),
    inference(sat_conversion,[],[f244]) ).

cnf(s5,plain,
    ( spl0_5
    | spl0_8
    | spl0_10 ),
    inference(sat_conversion,[],[f248]) ).

cnf(s6,plain,
    ( spl0_9
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s8,plain,
    ( ~ spl0_14
    | spl0_16
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s11,plain,
    ( spl0_9
    | ~ spl0_14
    | spl0_16
    | spl0_21 ),
    inference(sat_conversion,[],[f290]) ).

cnf(s14,plain,
    ( ~ spl0_14
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f305]) ).

cnf(s15,plain,
    ( spl0_13
    | ~ spl0_14
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s16,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_14
    | spl0_28 ),
    inference(sat_conversion,[],[f313]) ).

cnf(s17,plain,
    ( ~ spl0_14
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f320]) ).

cnf(s19,plain,
    ( spl0_5
    | ~ spl0_14
    | spl0_27
    | spl0_32 ),
    inference(sat_conversion,[],[f328]) ).

cnf(s20,plain,
    ( spl0_6
    | ~ spl0_14
    | spl0_25
    | spl0_32 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s21,plain,
    ( ~ spl0_14
    | spl0_26
    | spl0_30
    | spl0_32 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s22,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_32 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s23,plain,
    ( spl0_1
    | spl0_6
    | ~ spl0_14
    | spl0_33 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s24,plain,
    ( spl0_1
    | spl0_11
    | ~ spl0_14
    | spl0_33 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s26,plain,
    ( spl0_10
    | ~ spl0_14
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s27,plain,
    ( spl0_1
    | ~ spl0_14
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s29,plain,
    ( spl0_11
    | ~ spl0_14
    | spl0_15
    | spl0_40 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s30,plain,
    ( ~ spl0_14
    | spl0_21
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s31,plain,
    ( ~ spl0_14
    | spl0_37
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s32,plain,
    ( ~ spl0_14
    | spl0_22
    | spl0_40
    | spl0_44 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s38,plain,
    ( ~ spl0_14
    | spl0_26
    | spl0_33
    | spl0_48 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s39,plain,
    ( ~ spl0_14
    | spl0_15
    | spl0_33
    | spl0_48 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s40,plain,
    ( ~ spl0_14
    | spl0_23
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s41,plain,
    ( ~ spl0_14
    | spl0_22
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s42,plain,
    ( ~ spl0_14
    | spl0_24
    | spl0_49
    | spl0_52 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s43,plain,
    ( ~ spl0_14
    | spl0_33
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s44,plain,
    ( ~ spl0_14
    | spl0_30
    | spl0_47
    | spl0_52 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s45,plain,
    ( ~ spl0_14
    | spl0_44
    | spl0_48
    | spl0_52 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s46,plain,
    ( ~ spl0_14
    | spl0_17
    | spl0_38
    | spl0_54 ),
    inference(sat_conversion,[],[f421]) ).

cnf(s50,plain,
    ( ~ spl0_14
    | spl0_23
    | spl0_26
    | spl0_57 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s51,plain,
    ( ~ spl0_14
    | spl0_15
    | spl0_25
    | spl0_57 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s53,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_31
    | spl0_57 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s54,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_49
    | spl0_58 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s55,plain,
    ( ~ spl0_14
    | spl0_27
    | spl0_39
    | spl0_58 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s57,plain,
    ( spl0_4
    | spl0_8
    | ~ spl0_14
    | spl0_59 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s58,plain,
    ( spl0_9
    | ~ spl0_14
    | spl0_46
    | spl0_59 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s61,plain,
    ( ~ spl0_16
    | spl0_62 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s62,plain,
    ( ~ spl0_16
    | spl0_63 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s63,plain,
    ( ~ spl0_16
    | spl0_64 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s65,plain,
    ( ~ spl0_37
    | spl0_65 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s66,plain,
    ( ~ spl0_37
    | spl0_66 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s67,plain,
    ( ~ spl0_37
    | spl0_67 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s70,plain,
    ( ~ spl0_53
    | spl0_69 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s71,plain,
    ( ~ spl0_53
    | spl0_70 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s81,plain,
    ( ~ spl0_3
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s82,plain,
    ( ~ spl0_3
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s83,plain,
    ( ~ spl0_3
    | spl0_79 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s85,plain,
    ( ~ spl0_13
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s86,plain,
    ( ~ spl0_13
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s87,plain,
    ( ~ spl0_13
    | spl0_82 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s89,plain,
    ( ~ spl0_7
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s90,plain,
    ( ~ spl0_7
    | spl0_84 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s91,plain,
    ( ~ spl0_7
    | spl0_85 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s93,plain,
    ( ~ spl0_29
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s94,plain,
    ( ~ spl0_29
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s95,plain,
    ( ~ spl0_29
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s97,plain,
    ( ~ spl0_5
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s98,plain,
    ( ~ spl0_5
    | spl0_90 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s99,plain,
    ( ~ spl0_5
    | spl0_91 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s101,plain,
    ( ~ spl0_6
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s102,plain,
    ( ~ spl0_6
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s103,plain,
    ( ~ spl0_6
    | spl0_94 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s105,plain,
    ( ~ spl0_10
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s106,plain,
    ( ~ spl0_10
    | spl0_96 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s107,plain,
    ( ~ spl0_10
    | spl0_97 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s109,plain,
    ( ~ spl0_1
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s110,plain,
    ( ~ spl0_1
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s111,plain,
    ( ~ spl0_1
    | spl0_100 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s112,plain,
    ( ~ spl0_1
    | spl0_14 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s113,plain,
    ( ~ spl0_42
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s114,plain,
    ( ~ spl0_42
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s115,plain,
    ( ~ spl0_42
    | spl0_103 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s121,plain,
    ( ~ spl0_2
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s122,plain,
    ( ~ spl0_2
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s123,plain,
    ( ~ spl0_2
    | spl0_109 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s124,plain,
    ( ~ spl0_2
    | spl0_14 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s125,plain,
    ( ~ spl0_51
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s126,plain,
    ( ~ spl0_51
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s127,plain,
    ( ~ spl0_51
    | spl0_112 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s129,plain,
    ( ~ spl0_22
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s130,plain,
    ( ~ spl0_22
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s131,plain,
    ( ~ spl0_22
    | spl0_115 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s133,plain,
    ( ~ spl0_30
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s134,plain,
    ( ~ spl0_30
    | spl0_117 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s135,plain,
    ( ~ spl0_30
    | spl0_118 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s137,plain,
    ( ~ spl0_17
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s138,plain,
    ( ~ spl0_17
    | spl0_120 ),
    inference(sat_conversion,[],[f732]) ).

cnf(s139,plain,
    ( ~ spl0_17
    | spl0_121 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s145,plain,
    ( ~ spl0_25
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s146,plain,
    ( ~ spl0_25
    | spl0_126 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s147,plain,
    ( ~ spl0_25
    | spl0_127 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s149,plain,
    ( ~ spl0_11
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s150,plain,
    ( ~ spl0_11
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s151,plain,
    ( ~ spl0_11
    | spl0_130 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s153,plain,
    ( ~ spl0_49
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s154,plain,
    ( ~ spl0_49
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s155,plain,
    ( ~ spl0_49
    | spl0_133 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s157,plain,
    ( ~ spl0_27
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s158,plain,
    ( ~ spl0_27
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s159,plain,
    ( ~ spl0_27
    | spl0_136 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s161,plain,
    ( ~ spl0_35
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s162,plain,
    ( ~ spl0_35
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s163,plain,
    ( ~ spl0_35
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s165,plain,
    ( ~ spl0_23
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s166,plain,
    ( ~ spl0_23
    | spl0_141 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s167,plain,
    ( ~ spl0_23
    | spl0_142 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s169,plain,
    ( ~ spl0_8
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s170,plain,
    ( ~ spl0_8
    | spl0_144 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s171,plain,
    ( ~ spl0_8
    | spl0_145 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s173,plain,
    ( ~ spl0_9
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s174,plain,
    ( ~ spl0_9
    | spl0_147 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s175,plain,
    ( ~ spl0_9
    | spl0_148 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s176,plain,
    ( ~ spl0_9
    | spl0_14 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s177,plain,
    ( ~ spl0_4
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s178,plain,
    ( ~ spl0_4
    | spl0_150 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s179,plain,
    ( ~ spl0_4
    | spl0_151 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s190,plain,
    ( ~ spl0_33
    | spl0_107
    | ~ spl0_109
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s195,plain,
    ( ~ spl0_43
    | spl0_92
    | spl0_93
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f962]) ).

cnf(s200,plain,
    ( ~ spl0_28
    | spl0_95
    | ~ spl0_97
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s209,plain,
    ( ~ spl0_36
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1015]) ).

cnf(s244,plain,
    ( ~ spl0_21
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1173]) ).

cnf(s249,plain,
    ( spl0_18
    | ~ spl0_21
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f1192]) ).

cnf(s261,plain,
    ( ~ spl0_44
    | spl0_113
    | spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f1218]) ).

cnf(s289,plain,
    ( ~ spl0_36
    | spl0_119
    | ~ spl0_121
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1292]) ).

cnf(s297,plain,
    ( ~ spl0_41
    | spl0_119
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1326]) ).

cnf(s303,plain,
    ( ~ spl0_24
    | spl0_95
    | ~ spl0_96
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1332]) ).

cnf(s306,plain,
    ( ~ spl0_26
    | ~ spl0_62
    | ~ spl0_63
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f1335]) ).

cnf(s320,plain,
    ( ~ spl0_18
    | spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f1369]) ).

cnf(s355,plain,
    ( ~ spl0_28
    | spl0_113
    | ~ spl0_115
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1548]) ).

cnf(s356,plain,
    ( ~ spl0_28
    | spl0_125
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1549]) ).

cnf(s357,plain,
    ( ~ spl0_28
    | spl0_43
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f1550]) ).

cnf(s361,plain,
    ( ~ spl0_32
    | spl0_131
    | spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1554]) ).

cnf(s366,plain,
    ( ~ spl0_50
    | spl0_108
    | ~ spl0_109
    | spl0_155 ),
    inference(sat_conversion,[],[f1558]) ).

cnf(s378,plain,
    ( ~ spl0_48
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1590]) ).

cnf(s386,plain,
    ( ~ spl0_44
    | spl0_146
    | ~ spl0_148
    | spl0_158 ),
    inference(sat_conversion,[],[f1598]) ).

cnf(s388,plain,
    ( spl0_43
    | ~ spl0_44
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f1600]) ).

cnf(s392,plain,
    ( ~ spl0_15
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f1611]) ).

cnf(s396,plain,
    ( ~ spl0_21
    | ~ spl0_120
    | ~ spl0_121
    | spl0_159 ),
    inference(sat_conversion,[],[f1621]) ).

cnf(s399,plain,
    ( ~ spl0_44
    | spl0_111
    | ~ spl0_112
    | spl0_170 ),
    inference(sat_conversion,[],[f1642]) ).

cnf(s441,plain,
    ( ~ spl0_31
    | spl0_101
    | spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f1697]) ).

cnf(s442,plain,
    ( ~ spl0_32
    | spl0_95
    | ~ spl0_97
    | spl0_152 ),
    inference(sat_conversion,[],[f1706]) ).

cnf(s447,plain,
    ( ~ spl0_39
    | spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s448,plain,
    ( ~ spl0_39
    | spl0_107
    | ~ spl0_109
    | spl0_155 ),
    inference(sat_conversion,[],[f1736]) ).

cnf(s455,plain,
    ( ~ spl0_45
    | spl0_137
    | spl0_138
    | spl0_139 ),
    inference(sat_conversion,[],[f1769]) ).

cnf(s462,plain,
    ( ~ spl0_52
    | spl0_80
    | spl0_81
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s463,plain,
    ( ~ spl0_52
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1805]) ).

cnf(s466,plain,
    ( ~ spl0_58
    | spl0_81
    | ~ spl0_82
    | spl0_163 ),
    inference(sat_conversion,[],[f1823]) ).

cnf(s488,plain,
    ( ~ spl0_33
    | spl0_119
    | ~ spl0_120
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1847]) ).

cnf(s493,plain,
    ( ~ spl0_52
    | spl0_143
    | ~ spl0_145
    | spl0_165 ),
    inference(sat_conversion,[],[f1853]) ).

cnf(s496,plain,
    ( ~ spl0_18
    | ~ spl0_144
    | ~ spl0_145
    | spl0_165 ),
    inference(sat_conversion,[],[f1864]) ).

cnf(s499,plain,
    ( ~ spl0_21
    | ~ spl0_65
    | ~ spl0_67
    | spl0_169 ),
    inference(sat_conversion,[],[f1877]) ).

cnf(s500,plain,
    ( ~ spl0_21
    | spl0_110
    | ~ spl0_112
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s503,plain,
    ( ~ spl0_33
    | spl0_146
    | ~ spl0_147
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1893]) ).

cnf(s504,plain,
    ( ~ spl0_33
    | spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1894]) ).

cnf(s505,plain,
    ( ~ spl0_38
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f1904]) ).

cnf(s517,plain,
    ( ~ spl0_41
    | spl0_146
    | ~ spl0_148
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1944]) ).

cnf(s529,plain,
    ( ~ spl0_59
    | spl0_86
    | spl0_87
    | spl0_88 ),
    inference(sat_conversion,[],[f1992]) ).

cnf(s531,plain,
    ( ~ spl0_32
    | spl0_45
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1994]) ).

cnf(s541,plain,
    ( ~ spl0_41
    | spl0_111
    | ~ spl0_112
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2033]) ).

cnf(s542,plain,
    ( ~ spl0_41
    | ~ spl0_69
    | ~ spl0_70
    | spl0_172 ),
    inference(sat_conversion,[],[f2034]) ).

cnf(s544,plain,
    ( ~ spl0_39
    | spl0_80
    | ~ spl0_82
    | spl0_163 ),
    inference(sat_conversion,[],[f2040]) ).

cnf(s591,plain,
    ( ~ spl0_58
    | spl0_107
    | spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f2087]) ).

cnf(s608,plain,
    ( ~ spl0_26
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2125]) ).

cnf(s610,plain,
    ( ~ spl0_26
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2127]) ).

cnf(s611,plain,
    ( ~ spl0_40
    | spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f2137]) ).

cnf(s623,plain,
    ( ~ spl0_57
    | spl0_83
    | ~ spl0_84
    | spl0_171 ),
    inference(sat_conversion,[],[f2206]) ).

cnf(s624,plain,
    ( ~ spl0_57
    | spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2207]) ).

cnf(s627,plain,
    ( ~ spl0_15
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2210]) ).

cnf(s633,plain,
    ( ~ spl0_31
    | spl0_134
    | ~ spl0_136
    | spl0_167 ),
    inference(sat_conversion,[],[f2215]) ).

cnf(s635,plain,
    ( ~ spl0_31
    | spl0_77
    | ~ spl0_79
    | spl0_153 ),
    inference(sat_conversion,[],[f2217]) ).

cnf(s641,plain,
    ( ~ spl0_43
    | spl0_146
    | ~ spl0_147
    | spl0_158 ),
    inference(sat_conversion,[],[f2223]) ).

cnf(s650,plain,
    ( spl0_39
    | ~ spl0_40
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f2230]) ).

cnf(s651,plain,
    ( spl0_18
    | ~ spl0_21
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f2231]) ).

cnf(s655,plain,
    ( ~ spl0_24
    | spl0_140
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2235]) ).

cnf(s656,plain,
    ( ~ spl0_24
    | spl0_77
    | ~ spl0_79
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2236]) ).

cnf(s657,plain,
    ( ~ spl0_46
    | spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f2237]) ).

cnf(s661,plain,
    ( ~ spl0_47
    | spl0_78
    | ~ spl0_79
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2241]) ).

cnf(s667,plain,
    ( ~ spl0_48
    | spl0_135
    | ~ spl0_136
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2247]) ).

cnf(s668,plain,
    ( ~ spl0_48
    | spl0_83
    | ~ spl0_85
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2248]) ).

cnf(s675,plain,
    ( ~ spl0_32
    | spl0_113
    | ~ spl0_115
    | spl0_166 ),
    inference(sat_conversion,[],[f2255]) ).

cnf(s679,plain,
    ( ~ spl0_28
    | spl0_43
    | spl0_15
    | ~ spl0_14 ),
    inference(rat,[],[s356,s145,s146,s147,s51,s357]) ).

cnf(s680,plain,
    ( ~ spl0_27
    | ~ spl0_52 ),
    inference(rat,[],[s463,s157,s158,s159]) ).

cnf(s681,plain,
    ( ~ spl0_52
    | spl0_28
    | ~ spl0_14 ),
    inference(rat,[],[s55,s544,s466,s462,s85,s86,s87,s15,s680]) ).

cnf(s682,plain,
    ( ~ spl0_153
    | spl0_52
    | spl0_77
    | spl0_78
    | ~ spl0_79
    | ~ spl0_14 ),
    inference(rat,[],[s22,s244,s361,s133,s134,s135,s153,s154,s155,s44,s42,s656,s661]) ).

cnf(s683,plain,
    ( spl0_158
    | spl0_5
    | spl0_15
    | spl0_77
    | spl0_78
    | ~ spl0_79
    | spl0_146
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_14 ),
    inference(rat,[],[s378,s169,s170,s171,s53,s635,s623,s682,s668,s45,s681,s89,s90,s91,s16,s679,s641,s386]) ).

cnf(s684,plain,
    ( spl0_33
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s378,s169,s170,s171,s53,s635,s682,s681,s679,s195,s624,s101,s102,s103,s149,s150,s151,s39,s23,s24,s83,s82,s81,s1,s392,s65,s66,s67,s27,s209,s173,s174,s175,s176,s4]) ).

cnf(s685,plain,
    ( ~ spl0_7
    | ~ spl0_57
    | ~ spl0_48 ),
    inference(rat,[],[s623,s668,s89,s90,s91]) ).

cnf(s687,plain,
    ( ~ spl0_49
    | ~ spl0_32 ),
    inference(rat,[],[s361,s153,s154,s155]) ).

cnf(s688,plain,
    ( ~ spl0_8
    | ~ spl0_145
    | ~ spl0_48 ),
    inference(rat,[],[s378,s169,s170]) ).

cnf(s689,plain,
    ( ~ spl0_11
    | ~ spl0_57 ),
    inference(rat,[],[s624,s149,s150,s151]) ).

cnf(s690,plain,
    ( ~ spl0_35
    | ~ spl0_45 ),
    inference(rat,[],[s455,s161,s162,s163]) ).

cnf(s691,plain,
    ( ~ spl0_10
    | ~ spl0_24
    | ~ spl0_32 ),
    inference(rat,[],[s303,s442,s105,s106,s107]) ).

cnf(s692,plain,
    ( ~ spl0_8
    | ~ spl0_48 ),
    inference(rat,[],[s688,s171]) ).

cnf(s693,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s504,s177,s178,s179,s57,s692,s531,s690,s26,s691,s42,s687,s22,s651,s45,s320,s681,s97,s98,s99,s679,s683,s641,s386,s503,s684,s392,s65,s66,s67,s27,s209,s81,s82,s83,s173,s174,s175,s176,s1,s4]) ).

cnf(s694,plain,
    ( spl0_32
    | ~ spl0_37
    | ~ spl0_14 ),
    inference(rat,[],[s244,s133,s134,s135,s21,s608,s499,s22,s67,s66,s65]) ).

cnf(s695,plain,
    ( ~ spl0_9
    | spl0_1 ),
    inference(rat,[],[s680,s55,s45,s448,s386,s190,s503,s39,s692,s54,s687,s694,s392,s65,s66,s67,s27,s209,s173,s174,s175,s124,s591,s121,s122,s123,s693]) ).

cnf(s697,plain,
    ( ~ spl0_5
    | ~ spl0_18 ),
    inference(rat,[],[s320,s97,s98,s99]) ).

cnf(s698,plain,
    ( ~ spl0_48
    | spl0_32
    | spl0_8
    | ~ spl0_14 ),
    inference(rat,[],[s195,s101,s102,s103,s357,s3,s16,s685,s53,s633,s667,s157,s158,s159,s19,s697,s651,s22]) ).

cnf(s699,plain,
    ( ~ spl0_52
    | spl0_32
    | ~ spl0_14 ),
    inference(rat,[],[s697,s19,s249,s680,s22]) ).

cnf(s701,plain,
    ( spl0_43
    | spl0_8
    | spl0_1 ),
    inference(rat,[],[s488,s396,s137,s138,s139,s46,s505,s105,s106,s107,s24,s6,s689,s53,s441,s113,s114,s115,s388,s31,s695,s22,s694,s45,s699,s698,s687,s54,s591,s121,s122,s123,s124,s693]) ).

cnf(s702,plain,
    ( ~ spl0_30
    | ~ spl0_21 ),
    inference(rat,[],[s244,s133,s134,s135]) ).

cnf(s703,plain,
    ( ~ spl0_6
    | ~ spl0_43 ),
    inference(rat,[],[s195,s101,s102,s103]) ).

cnf(s704,plain,
    ( spl0_8
    | spl0_1 ),
    inference(rat,[],[s529,s93,s94,s95,s17,s58,s356,s657,s145,s146,s147,s89,s90,s91,s20,s3,s703,s702,s701,s22,s687,s54,s124,s591,s121,s122,s123,s693,s695]) ).

cnf(s705,plain,
    ( spl0_155
    | spl0_49
    | ~ spl0_2 ),
    inference(rat,[],[s42,s655,s680,s165,s166,s167,s55,s40,s448,s366,s124,s591,s121,s122,s123]) ).

cnf(s706,plain,
    ( ~ spl0_16
    | ~ spl0_26 ),
    inference(rat,[],[s306,s61,s62,s63]) ).

cnf(s707,plain,
    ( spl0_33
    | spl0_1 ),
    inference(rat,[],[s392,s65,s66,s67,s27,s289,s396,s137,s138,s139,s11,s8,s706,s496,s610,s38,s39,s124,s693,s695,s171,s170,s692,s704]) ).

cnf(s708,plain,
    spl0_1,
    inference(rat,[],[s488,s396,s137,s138,s139,s8,s496,s706,s610,s21,s702,s22,s687,s705,s190,s707,s170,s171,s704,s121,s123,s124,s693]) ).

cnf(s709,plain,
    spl0_14,
    inference(rat,[],[s112,s708]) ).

cnf(s710,plain,
    spl0_100,
    inference(rat,[],[s111,s708]) ).

cnf(s711,plain,
    ~ spl0_99,
    inference(rat,[],[s110,s708]) ).

cnf(s712,plain,
    ~ spl0_98,
    inference(rat,[],[s109,s708]) ).

cnf(s713,plain,
    ~ spl0_39,
    inference(rat,[],[s447,s710,s711,s712]) ).

cnf(s714,plain,
    ( ~ spl0_17
    | ~ spl0_41 ),
    inference(rat,[],[s297,s137,s138,s139]) ).

cnf(s715,plain,
    ( ~ spl0_9
    | ~ spl0_41
    | ~ spl0_32
    | spl0_8 ),
    inference(rat,[],[s655,s165,s166,s167,s50,s689,s29,s627,s542,s70,s71,s43,s504,s177,s178,s179,s57,s706,s531,s8,s690,s697,s26,s5,s691,s42,s681,s355,s675,s129,s131,s32,s386,s517,s209,s173,s174,s175,s650,s54,s687,s714,s709,s713]) ).

cnf(s716,plain,
    ( ~ spl0_24
    | spl0_26
    | spl0_9
    | ~ spl0_32 ),
    inference(rat,[],[s655,s165,s166,s167,s50,s689,s6,s691,s709]) ).

cnf(s717,plain,
    ( spl0_21
    | ~ spl0_32
    | spl0_8 ),
    inference(rat,[],[s356,s681,s145,s146,s147,s42,s14,s716,s706,s11,s715,s30,s650,s54,s687,s709,s713]) ).

cnf(s718,plain,
    ( ~ spl0_48
    | spl0_8 ),
    inference(rat,[],[s681,s200,s42,s442,s691,s105,s107,s5,s697,s651,s717,s687,s698,s709]) ).

cnf(s719,plain,
    ( spl0_21
    | spl0_8 ),
    inference(rat,[],[s717,s22,s709]) ).

cnf(s721,plain,
    ( ~ spl0_23
    | ~ spl0_24 ),
    inference(rat,[],[s655,s165,s166,s167]) ).

cnf(s724,plain,
    ( ~ spl0_22
    | ~ spl0_44 ),
    inference(rat,[],[s261,s129,s130,s131]) ).

cnf(s725,plain,
    ( spl0_52
    | spl0_8 ),
    inference(rat,[],[s500,s399,s125,s126,s127,s41,s724,s45,s718,s719,s709]) ).

cnf(s726,plain,
    spl0_8,
    inference(rat,[],[s442,s699,s200,s105,s107,s5,s697,s249,s681,s725,s719,s709]) ).

cnf(s727,plain,
    spl0_145,
    inference(rat,[],[s171,s726]) ).

cnf(s728,plain,
    spl0_144,
    inference(rat,[],[s170,s726]) ).

cnf(s729,plain,
    ~ spl0_143,
    inference(rat,[],[s169,s726]) ).

cnf(s730,plain,
    ~ spl0_48,
    inference(rat,[],[s692,s726]) ).

cnf(s731,plain,
    ( spl0_52
    | ~ spl0_21 ),
    inference(rat,[],[s500,s399,s125,s126,s127,s41,s724,s45,s709,s730]) ).

cnf(s733,plain,
    ( ~ spl0_25
    | ~ spl0_28 ),
    inference(rat,[],[s356,s145,s146,s147]) ).

cnf(s734,plain,
    ~ spl0_52,
    inference(rat,[],[s641,s357,s503,s50,s173,s174,s721,s716,s14,s733,s38,s610,s493,s699,s681,s709,s730,s727,s728,s729]) ).

cnf(s735,plain,
    spl0_44,
    inference(rat,[],[s45,s730,s709,s734]) ).

cnf(s736,plain,
    ~ spl0_21,
    inference(rat,[],[s731,s734]) ).

cnf(s737,plain,
    ~ spl0_22,
    inference(rat,[],[s724,s735]) ).

cnf(s739,plain,
    spl0_51,
    inference(rat,[],[s41,s734,s709,s737]) ).

cnf(s742,plain,
    spl0_112,
    inference(rat,[],[s127,s739]) ).

cnf(s743,plain,
    ~ spl0_111,
    inference(rat,[],[s126,s739]) ).

cnf(s744,plain,
    ~ spl0_110,
    inference(rat,[],[s125,s739]) ).

cnf(s750,plain,
    spl0_170,
    inference(rat,[],[s399,s742,s735,s743]) ).

cnf(s751,plain,
    ~ spl0_40,
    inference(rat,[],[s611,s742,s743,s744]) ).

cnf(s754,plain,
    ~ spl0_41,
    inference(rat,[],[s541,s743,s742,s750]) ).

cnf(s755,plain,
    $false,
    inference(rat,[],[s30,s736,s709,s751,s754]) ).

fof(f2259,plain,
    $false,
    inference(avatar_sat_refutation,[],[s755]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN450+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n003.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 16:06:28 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.92/1.12  % (1722216)Detected formulas, will run a generic FOF schedule.
% 2.92/1.12  % (1722223)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=994064698:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.92/1.12  % (1722225)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2042791373:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.92/1.12  % (1722221)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=3805960460:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.92/1.12  % (1722224)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2435871514:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.92/1.12  % (1722222)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=3441956878:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.92/1.12  % (1722227)dis-21_1_sil=8000:lcm=predicate:random_seed=696709286: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)
% 2.92/1.12  % (1722226)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=369518973:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.92/1.12  % (1722227)First to succeed.
% 2.92/1.12  % (1722227)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1722216"
% 2.92/1.12  % (1722226)Also succeeded, but the first one will report.
% 2.92/1.12  % (1722225)Instruction limit reached! 
% 2.92/1.12  % (1722225)------------------------------
% 2.92/1.12  % (1722225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.12  % (1722225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.12  % (1722225)CaDiCaL version: 2.1.3
% 2.92/1.12  % (1722225)Termination reason: Instruction limit
% 2.92/1.12  % (1722225)Termination phase: Saturation
% 2.92/1.12  % (1722225)Time elapsed: 0.058 s
% 2.92/1.12  % (1722225)Peak memory usage: 88 MB
% 2.92/1.12  % (1722225)Instructions burned: 119 (million)
% 2.92/1.12  % (1722224)Instruction limit reached! 
% 2.92/1.12  % (1722224)------------------------------
% 2.92/1.12  % (1722224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.12  % (1722224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.12  % (1722224)CaDiCaL version: 2.1.3
% 2.92/1.12  % (1722224)Termination reason: Instruction limit
% 2.92/1.12  % (1722224)Termination phase: Saturation
% 2.92/1.12  % (1722224)Time elapsed: 0.070 s
% 2.92/1.12  % (1722224)Peak memory usage: 91 MB
% 2.92/1.12  % (1722224)Instructions burned: 109 (million)
% 2.92/1.12  % (1722235)lrs+10_1_sil=8000:sp=occurrence:random_seed=2451835736:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.92/1.12  % (1722236)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3639686492:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.92/1.12  % (1722235)Also succeeded, but the first one will report.
% 2.92/1.12  % (1722236)Also succeeded, but the first one will report.
% 2.92/1.12  % (1722227)Refutation found. Thanks to Tanya!
% 2.92/1.12  % SZS status Theorem for theBenchmark
% 2.92/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.31  % (1722227)------------------------------
% 0.19/1.31  % (1722227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.31  % (1722227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.31  % (1722227)CaDiCaL version: 2.1.3
% 0.19/1.31  % (1722227)Termination reason: Refutation
% 0.19/1.31  % (1722227)Time elapsed: 0.038 s
% 0.19/1.31  % (1722227)Peak memory usage: 90 MB
% 0.19/1.31  % (1722227)Instructions burned: 62 (million)
% 0.19/1.31  % (1722227)------------------------------
% 0.19/1.31  % (1722227)------------------------------
% 0.19/1.31  % (1722216)Success in time 0.443 s
% 0.19/1.31  % Vampire exiting
%------------------------------------------------------------------------------