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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN472+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:10:54 PM UTC 2026

% Result   : Theorem 0.19s 0.31s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :  145
% Syntax   : Number of formulae    : 1026 (   7 unt; 144 def)
%            Number of atoms       : 7149 (   0 equ)
%            Maximal formula atoms :  713 (   6 avg)
%            Number of connectives : 9375 (3252   ~;4662   |; 975   &)
%                                         ( 144 <=>; 342  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  109 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  181 ( 180 usr; 177 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  828 (   0 sgn 828   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a692)
          & ~ c0_1(a692)
          & ~ c1_1(a692) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a693)
          & ~ c1_1(a693)
          & ~ c3_1(a693) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a696)
          & c1_1(a696)
          & ~ c2_1(a696) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a697)
          & c2_1(a697)
          & ~ c3_1(a697) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a698)
          & ~ c2_1(a698)
          & ~ c3_1(a698) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a701)
          & c2_1(a701)
          & ~ c1_1(a701) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a702)
          & c3_1(a702)
          & ~ c2_1(a702) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a708)
          & c2_1(a708)
          & ~ c3_1(a708) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a710)
          & c3_1(a710)
          & ~ c0_1(a710) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c0_1(a712)
          & ~ c1_1(a712)
          & ~ c2_1(a712) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a717)
          & c3_1(a717)
          & ~ c2_1(a717) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a722)
          & c3_1(a722)
          & ~ c1_1(a722) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a725)
          & ~ c1_1(a725)
          & ~ c3_1(a725) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a726)
          & ~ c0_1(a726)
          & ~ c3_1(a726) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a730)
          & c1_1(a730)
          & ~ c3_1(a730) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c3_1(a734)
          & ~ c1_1(a734)
          & ~ c2_1(a734) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a738)
          & c3_1(a738)
          & ~ c1_1(a738) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c1_1(a744)
          & ~ c2_1(a744)
          & ~ c3_1(a744) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a751)
          & ~ c1_1(a751)
          & ~ c3_1(a751) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a752)
          & ~ c2_1(a752)
          & ~ c3_1(a752) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a754)
          & ~ c0_1(a754)
          & ~ c3_1(a754) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c1_1(a760)
          & c3_1(a760)
          & ~ c0_1(a760) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a761)
          & ~ c0_1(a761)
          & ~ c2_1(a761) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a763)
          & ~ c1_1(a763)
          & ~ c2_1(a763) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a764)
          & ~ c2_1(a764)
          & ~ c3_1(a764) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a773)
          & c2_1(a773)
          & ~ c0_1(a773) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c3_1(a777)
          & ~ c0_1(a777)
          & ~ c1_1(a777) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a691)
          & c1_1(a691)
          & c3_1(a691) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a695)
          & c1_1(a695)
          & c2_1(a695) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a713)
          & c2_1(a713)
          & c3_1(a713) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c1_1(a733)
          & c2_1(a733)
          & c3_1(a733) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c3_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c3_1(X1)
              | ~ c0_1(X1) ) )
        | hskp27 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c3_1(X2) ) )
        | hskp0
        | hskp1 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | ~ c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c2_1(X4)
              | ~ c1_1(X4) ) )
        | hskp27 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | ~ c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c2_1(X6)
              | ~ c0_1(X6) ) )
        | hskp28 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | ~ c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | c3_1(X8)
              | ~ c0_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | ~ c1_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | ~ c2_1(X11)
              | ~ c3_1(X11) ) )
        | hskp2 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | hskp3
        | hskp4 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c2_1(X14)
              | ~ c1_1(X14) ) )
        | hskp3 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c3_1(X16)
              | ~ c1_1(X16) ) )
        | hskp0 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c3_1(X17) ) )
        | hskp5
        | hskp6 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c1_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c3_1(X22)
              | ~ c1_1(X22) ) )
        | hskp6 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | ~ c0_1(X24)
              | ~ c3_1(X24) ) )
        | hskp0 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | ~ c0_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | ~ c2_1(X27)
              | ~ c3_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | hskp27
        | hskp6 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | hskp2
        | hskp7 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) )
        | hskp5
        | hskp8 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | hskp3
        | hskp9 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | ~ c1_1(X33)
              | ~ c2_1(X33) ) )
        | hskp29 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) )
        | hskp29 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | ~ c0_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | ~ c1_1(X38)
              | ~ c2_1(X38) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c2_1(X40)
              | ~ c0_1(X40) ) )
        | hskp5 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c3_1(X43)
              | ~ c2_1(X43) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | ~ c2_1(X45)
              | ~ c3_1(X45) ) )
        | hskp28 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | ~ c0_1(X48)
              | ~ c3_1(X48) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c3_1(X50) ) )
        | hskp10 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c3_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c2_1(X52)
              | ~ c0_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c3_1(X53)
              | ~ c0_1(X53) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | c3_1(X55)
              | ~ c1_1(X55) ) )
        | hskp6 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | ~ c2_1(X57)
              | ~ c3_1(X57) ) )
        | hskp8 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | ~ c0_1(X59)
              | ~ c1_1(X59) ) )
        | hskp5 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c2_1(X61)
              | ~ c0_1(X61) ) )
        | hskp4 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | c3_1(X64)
              | ~ c1_1(X64) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | c3_1(X66)
              | ~ c0_1(X66) ) )
        | hskp11 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | ~ c1_1(X68)
              | ~ c3_1(X68) ) )
        | hskp8 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | ~ c0_1(X70)
              | ~ c1_1(X70) ) )
        | hskp3 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | ~ c0_1(X72)
              | ~ c1_1(X72) ) )
        | hskp12 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c3_1(X74)
              | ~ c0_1(X74) ) )
        | hskp13 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c0_1(X77)
              | ~ c1_1(X77) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c3_1(X78) ) )
        | hskp3
        | hskp1 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c3_1(X80) ) )
        | hskp0 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c3_1(X81)
              | ~ c0_1(X81) ) )
        | hskp14
        | hskp3 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c3_1(X82)
              | ~ c0_1(X82) ) )
        | hskp14
        | hskp30 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c0_1(X83) ) )
        | hskp15
        | hskp12 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c3_1(X84)
              | ~ c2_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | hskp28 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c3_1(X86)
              | ~ c2_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) )
        | hskp14 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c2_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | ~ c1_1(X89)
              | ~ c2_1(X89) ) )
        | hskp16 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | ~ c2_1(X90) ) )
        | hskp7
        | hskp16 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) )
        | hskp7
        | hskp13 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c0_1(X92) ) )
        | hskp29
        | hskp17 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | ~ c1_1(X94)
              | ~ c2_1(X94) ) )
        | hskp28 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c2_1(X96)
              | ~ c3_1(X96) ) )
        | hskp30 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c1_1(X97) ) )
        | hskp5
        | hskp1 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | hskp28 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c1_1(X100)
              | ~ c3_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | hskp17 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | ~ c1_1(X102)
              | ~ c3_1(X102) ) )
        | hskp18
        | hskp19 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | ~ c1_1(X103)
              | ~ c3_1(X103) ) )
        | hskp16
        | hskp20 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | ~ c1_1(X104) ) )
        | hskp11
        | hskp7 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | ~ c0_1(X105)
              | ~ c1_1(X105) ) )
        | hskp16
        | hskp15 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c0_1(X106)
              | ~ c2_1(X106) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) )
        | hskp3 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c2_1(X108) ) )
        | hskp21
        | hskp22 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c1_1(X109)
              | ~ c2_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c2_1(X110)
              | ~ c3_1(X110) ) )
        | hskp20 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | ~ c2_1(X111) ) )
        | hskp23
        | hskp24 )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c3_1(X112) ) )
        | hskp27
        | hskp18 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | ~ c3_1(X113) ) )
        | hskp30
        | hskp20 )
      & ( hskp28
        | hskp30
        | hskp12 )
      & ( hskp28
        | hskp25
        | hskp22 )
      & ( hskp14
        | hskp7
        | hskp26 )
      & ( hskp29
        | hskp7
        | hskp13 )
      & ( hskp11
        | hskp23
        | hskp13 )
      & ( hskp23
        | hskp18
        | hskp21 )
      & ( hskp30
        | hskp20
        | hskp1 )
      & ( hskp13
        | hskp20
        | hskp12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a692)
            & ~ c0_1(a692)
            & ~ c1_1(a692) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a693)
            & ~ c1_1(a693)
            & ~ c3_1(a693) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a696)
            & c1_1(a696)
            & ~ c2_1(a696) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a697)
            & c2_1(a697)
            & ~ c3_1(a697) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a698)
            & ~ c2_1(a698)
            & ~ c3_1(a698) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a701)
            & c2_1(a701)
            & ~ c1_1(a701) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a702)
            & c3_1(a702)
            & ~ c2_1(a702) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a708)
            & c2_1(a708)
            & ~ c3_1(a708) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a710)
            & c3_1(a710)
            & ~ c0_1(a710) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c0_1(a712)
            & ~ c1_1(a712)
            & ~ c2_1(a712) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a717)
            & c3_1(a717)
            & ~ c2_1(a717) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a722)
            & c3_1(a722)
            & ~ c1_1(a722) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a725)
            & ~ c1_1(a725)
            & ~ c3_1(a725) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a726)
            & ~ c0_1(a726)
            & ~ c3_1(a726) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a730)
            & c1_1(a730)
            & ~ c3_1(a730) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c3_1(a734)
            & ~ c1_1(a734)
            & ~ c2_1(a734) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a738)
            & c3_1(a738)
            & ~ c1_1(a738) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c1_1(a744)
            & ~ c2_1(a744)
            & ~ c3_1(a744) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a751)
            & ~ c1_1(a751)
            & ~ c3_1(a751) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a752)
            & ~ c2_1(a752)
            & ~ c3_1(a752) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a754)
            & ~ c0_1(a754)
            & ~ c3_1(a754) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c1_1(a760)
            & c3_1(a760)
            & ~ c0_1(a760) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a761)
            & ~ c0_1(a761)
            & ~ c2_1(a761) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a763)
            & ~ c1_1(a763)
            & ~ c2_1(a763) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a764)
            & ~ c2_1(a764)
            & ~ c3_1(a764) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a773)
            & c2_1(a773)
            & ~ c0_1(a773) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c3_1(a777)
            & ~ c0_1(a777)
            & ~ c1_1(a777) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a691)
            & c1_1(a691)
            & c3_1(a691) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a695)
            & c1_1(a695)
            & c2_1(a695) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a713)
            & c2_1(a713)
            & c3_1(a713) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a733)
            & c2_1(a733)
            & c3_1(a733) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c3_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | ~ c0_1(X1) ) )
          | hskp27 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) )
          | hskp0
          | hskp1 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | ~ c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | ~ c1_1(X4) ) )
          | hskp27 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | ~ c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c2_1(X6)
                | ~ c0_1(X6) ) )
          | hskp28 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | c3_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | ~ c1_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | ~ c2_1(X11)
                | ~ c3_1(X11) ) )
          | hskp2 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | hskp3
          | hskp4 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c2_1(X14)
                | ~ c1_1(X14) ) )
          | hskp3 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c3_1(X16)
                | ~ c1_1(X16) ) )
          | hskp0 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | hskp5
          | hskp6 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c3_1(X22)
                | ~ c1_1(X22) ) )
          | hskp6 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | ~ c0_1(X24)
                | ~ c3_1(X24) ) )
          | hskp0 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | ~ c0_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c2_1(X27)
                | ~ c3_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | hskp27
          | hskp6 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | hskp2
          | hskp7 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) )
          | hskp5
          | hskp8 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | hskp3
          | hskp9 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c1_1(X33)
                | ~ c2_1(X33) ) )
          | hskp29 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | hskp29 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c0_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | ~ c0_1(X40) ) )
          | hskp5 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c3_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c2_1(X45)
                | ~ c3_1(X45) ) )
          | hskp28 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c0_1(X48)
                | ~ c3_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c3_1(X50) ) )
          | hskp10 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c3_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c2_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c0_1(X53) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | c3_1(X55)
                | ~ c1_1(X55) ) )
          | hskp6 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp8 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | ~ c0_1(X59)
                | ~ c1_1(X59) ) )
          | hskp5 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | ~ c0_1(X61) ) )
          | hskp4 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c3_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) )
          | hskp11 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | ~ c1_1(X68)
                | ~ c3_1(X68) ) )
          | hskp8 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | ~ c0_1(X70)
                | ~ c1_1(X70) ) )
          | hskp3 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c0_1(X72)
                | ~ c1_1(X72) ) )
          | hskp12 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) )
          | hskp13 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp3
          | hskp1 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c3_1(X80) ) )
          | hskp0 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c0_1(X81) ) )
          | hskp14
          | hskp3 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c3_1(X82)
                | ~ c0_1(X82) ) )
          | hskp14
          | hskp30 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) )
          | hskp15
          | hskp12 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | ~ c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | hskp28 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c3_1(X86)
                | ~ c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp14 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | ~ c1_1(X89)
                | ~ c2_1(X89) ) )
          | hskp16 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c2_1(X90) ) )
          | hskp7
          | hskp16 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) )
          | hskp7
          | hskp13 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c0_1(X92) ) )
          | hskp29
          | hskp17 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c1_1(X94)
                | ~ c2_1(X94) ) )
          | hskp28 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c2_1(X96)
                | ~ c3_1(X96) ) )
          | hskp30 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | hskp5
          | hskp1 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp28 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c1_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp17 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | ~ c1_1(X102)
                | ~ c3_1(X102) ) )
          | hskp18
          | hskp19 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c1_1(X103)
                | ~ c3_1(X103) ) )
          | hskp16
          | hskp20 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | ~ c1_1(X104) ) )
          | hskp11
          | hskp7 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | hskp16
          | hskp15 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c2_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) )
          | hskp3 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c2_1(X108) ) )
          | hskp21
          | hskp22 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c1_1(X109)
                | ~ c2_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c2_1(X110)
                | ~ c3_1(X110) ) )
          | hskp20 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) )
          | hskp23
          | hskp24 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c3_1(X112) ) )
          | hskp27
          | hskp18 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c3_1(X113) ) )
          | hskp30
          | hskp20 )
        & ( hskp28
          | hskp30
          | hskp12 )
        & ( hskp28
          | hskp25
          | hskp22 )
        & ( hskp14
          | hskp7
          | hskp26 )
        & ( hskp29
          | hskp7
          | hskp13 )
        & ( hskp11
          | hskp23
          | hskp13 )
        & ( hskp23
          | hskp18
          | hskp21 )
        & ( hskp30
          | hskp20
          | hskp1 )
        & ( hskp13
          | hskp20
          | hskp12 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a692)
        & ~ c0_1(a692)
        & ~ c1_1(a692) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a693)
        & ~ c1_1(a693)
        & ~ c3_1(a693) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a696)
        & c1_1(a696)
        & ~ c2_1(a696) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a697)
        & c2_1(a697)
        & ~ c3_1(a697) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a698)
        & ~ c2_1(a698)
        & ~ c3_1(a698) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a701)
        & c2_1(a701)
        & ~ c1_1(a701) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a702)
        & c3_1(a702)
        & ~ c2_1(a702) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a708)
        & c2_1(a708)
        & ~ c3_1(a708) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a710)
        & c3_1(a710)
        & ~ c0_1(a710) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a712)
        & ~ c1_1(a712)
        & ~ c2_1(a712) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a717)
        & c3_1(a717)
        & ~ c2_1(a717) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a722)
        & c3_1(a722)
        & ~ c1_1(a722) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a725)
        & ~ c1_1(a725)
        & ~ c3_1(a725) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a726)
        & ~ c0_1(a726)
        & ~ c3_1(a726) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a730)
        & c1_1(a730)
        & ~ c3_1(a730) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a734)
        & ~ c1_1(a734)
        & ~ c2_1(a734) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a738)
        & c3_1(a738)
        & ~ c1_1(a738) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a744)
        & ~ c2_1(a744)
        & ~ c3_1(a744) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a751)
        & ~ c1_1(a751)
        & ~ c3_1(a751) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a752)
        & ~ c2_1(a752)
        & ~ c3_1(a752) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a754)
        & ~ c0_1(a754)
        & ~ c3_1(a754) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a760)
        & c3_1(a760)
        & ~ c0_1(a760) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a761)
        & ~ c0_1(a761)
        & ~ c2_1(a761) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a763)
        & ~ c1_1(a763)
        & ~ c2_1(a763) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a764)
        & ~ c2_1(a764)
        & ~ c3_1(a764) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a773)
        & c2_1(a773)
        & ~ c0_1(a773) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c3_1(a777)
        & ~ c0_1(a777)
        & ~ c1_1(a777) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a691)
        & c1_1(a691)
        & c3_1(a691) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a695)
        & c1_1(a695)
        & c2_1(a695) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a713)
        & c2_1(a713)
        & c3_1(a713) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a733)
        & c2_1(a733)
        & c3_1(a733) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c3_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | ~ c0_1(X1) ) )
      | hskp27 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c3_1(X2) ) )
      | hskp0
      | hskp1 )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | ~ c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c2_1(X4)
            | ~ c1_1(X4) ) )
      | hskp27 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | ~ c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | c2_1(X6)
            | ~ c0_1(X6) ) )
      | hskp28 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | ~ c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | c3_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | ~ c1_1(X9)
            | ~ c2_1(X9) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | ~ c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | ~ c2_1(X11)
            | ~ c3_1(X11) ) )
      | hskp2 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | hskp3
      | hskp4 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c2_1(X14)
            | ~ c1_1(X14) ) )
      | hskp3 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | c3_1(X16)
            | ~ c1_1(X16) ) )
      | hskp0 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c3_1(X17) ) )
      | hskp5
      | hskp6 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c2_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | ~ c1_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c2_1(X20)
            | c3_1(X20) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c2_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c3_1(X22)
            | ~ c1_1(X22) ) )
      | hskp6 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | ~ c0_1(X24)
            | ~ c3_1(X24) ) )
      | hskp0 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | ~ c0_1(X26)
            | ~ c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c2_1(X27)
            | ~ c3_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | hskp27
      | hskp6 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | hskp2
      | hskp7 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | c3_1(X30) ) )
      | hskp5
      | hskp8 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | hskp3
      | hskp9 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | ~ c1_1(X33)
            | ~ c2_1(X33) ) )
      | hskp29 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | c2_1(X35)
            | ~ c3_1(X35) ) )
      | hskp29 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | ~ c0_1(X37)
            | ~ c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | ~ c1_1(X38)
            | ~ c2_1(X38) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c2_1(X40)
            | ~ c0_1(X40) ) )
      | hskp5 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | c2_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | c3_1(X43)
            | ~ c2_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | ~ c2_1(X45)
            | ~ c3_1(X45) ) )
      | hskp28 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c2_1(X48)
            | ~ c0_1(X48)
            | ~ c3_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | ~ c3_1(X50) ) )
      | hskp10 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c3_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c2_1(X52)
            | ~ c0_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c3_1(X53)
            | ~ c0_1(X53) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | c3_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | c3_1(X55)
            | ~ c1_1(X55) ) )
      | hskp6 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c3_1(X56)
            | ~ c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | ~ c2_1(X57)
            | ~ c3_1(X57) ) )
      | hskp8 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | ~ c0_1(X59)
            | ~ c1_1(X59) ) )
      | hskp5 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c2_1(X61)
            | ~ c0_1(X61) ) )
      | hskp4 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | c3_1(X64)
            | ~ c1_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) )
      | hskp11 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | ~ c1_1(X68)
            | ~ c3_1(X68) ) )
      | hskp8 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | ~ c0_1(X70)
            | ~ c1_1(X70) ) )
      | hskp3 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | ~ c0_1(X72)
            | ~ c1_1(X72) ) )
      | hskp12 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c2_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) )
      | hskp13 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c2_1(X75)
            | ~ c3_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | ~ c3_1(X78) ) )
      | hskp3
      | hskp1 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | ~ c0_1(X80)
            | ~ c3_1(X80) ) )
      | hskp0 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | c3_1(X81)
            | ~ c0_1(X81) ) )
      | hskp14
      | hskp3 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c3_1(X82)
            | ~ c0_1(X82) ) )
      | hskp14
      | hskp30 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c3_1(X83)
            | ~ c0_1(X83) ) )
      | hskp15
      | hskp12 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c3_1(X84)
            | ~ c2_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c2_1(X85)
            | c3_1(X85)
            | ~ c0_1(X85) ) )
      | hskp28 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c3_1(X86)
            | ~ c2_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) )
      | hskp14 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c0_1(X88)
            | ~ c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | ~ c1_1(X89)
            | ~ c2_1(X89) ) )
      | hskp16 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c0_1(X90)
            | ~ c2_1(X90) ) )
      | hskp7
      | hskp16 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c2_1(X91)
            | ~ c3_1(X91) ) )
      | hskp7
      | hskp13 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | c3_1(X92)
            | ~ c0_1(X92) ) )
      | hskp29
      | hskp17 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c3_1(X93)
            | ~ c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | ~ c1_1(X94)
            | ~ c2_1(X94) ) )
      | hskp28 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | c3_1(X95)
            | ~ c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | ~ c2_1(X96)
            | ~ c3_1(X96) ) )
      | hskp30 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c0_1(X97)
            | ~ c1_1(X97) ) )
      | hskp5
      | hskp1 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | hskp28 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | ~ c1_1(X100)
            | ~ c3_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c0_1(X101)
            | ~ c1_1(X101) ) )
      | hskp17 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | ~ c1_1(X102)
            | ~ c3_1(X102) ) )
      | hskp18
      | hskp19 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | ~ c1_1(X103)
            | ~ c3_1(X103) ) )
      | hskp16
      | hskp20 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | ~ c0_1(X104)
            | ~ c1_1(X104) ) )
      | hskp11
      | hskp7 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c3_1(X105)
            | ~ c0_1(X105)
            | ~ c1_1(X105) ) )
      | hskp16
      | hskp15 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c0_1(X106)
            | ~ c2_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | ~ c2_1(X107)
            | ~ c3_1(X107) ) )
      | hskp3 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | ~ c0_1(X108)
            | ~ c2_1(X108) ) )
      | hskp21
      | hskp22 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | ~ c1_1(X109)
            | ~ c2_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | ~ c2_1(X110)
            | ~ c3_1(X110) ) )
      | hskp20 )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c1_1(X111)
            | ~ c2_1(X111) ) )
      | hskp23
      | hskp24 )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | ~ c1_1(X112)
            | ~ c3_1(X112) ) )
      | hskp27
      | hskp18 )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | ~ c1_1(X113)
            | ~ c3_1(X113) ) )
      | hskp30
      | hskp20 )
    & ( hskp28
      | hskp30
      | hskp12 )
    & ( hskp28
      | hskp25
      | hskp22 )
    & ( hskp14
      | hskp7
      | hskp26 )
    & ( hskp29
      | hskp7
      | hskp13 )
    & ( hskp11
      | hskp23
      | hskp13 )
    & ( hskp23
      | hskp18
      | hskp21 )
    & ( hskp30
      | hskp20
      | hskp1 )
    & ( hskp13
      | hskp20
      | hskp12 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a692)
        & ~ c0_1(a692)
        & ~ c1_1(a692) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a693)
        & ~ c1_1(a693)
        & ~ c3_1(a693) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a696)
        & c1_1(a696)
        & ~ c2_1(a696) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a697)
        & c2_1(a697)
        & ~ c3_1(a697) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a698)
        & ~ c2_1(a698)
        & ~ c3_1(a698) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a701)
        & c2_1(a701)
        & ~ c1_1(a701) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a702)
        & c3_1(a702)
        & ~ c2_1(a702) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a708)
        & c2_1(a708)
        & ~ c3_1(a708) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a710)
        & c3_1(a710)
        & ~ c0_1(a710) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a712)
        & ~ c1_1(a712)
        & ~ c2_1(a712) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a717)
        & c3_1(a717)
        & ~ c2_1(a717) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a722)
        & c3_1(a722)
        & ~ c1_1(a722) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a725)
        & ~ c1_1(a725)
        & ~ c3_1(a725) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a726)
        & ~ c0_1(a726)
        & ~ c3_1(a726) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a730)
        & c1_1(a730)
        & ~ c3_1(a730) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a734)
        & ~ c1_1(a734)
        & ~ c2_1(a734) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a738)
        & c3_1(a738)
        & ~ c1_1(a738) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a744)
        & ~ c2_1(a744)
        & ~ c3_1(a744) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a751)
        & ~ c1_1(a751)
        & ~ c3_1(a751) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a752)
        & ~ c2_1(a752)
        & ~ c3_1(a752) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a754)
        & ~ c0_1(a754)
        & ~ c3_1(a754) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a760)
        & c3_1(a760)
        & ~ c0_1(a760) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a761)
        & ~ c0_1(a761)
        & ~ c2_1(a761) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a763)
        & ~ c1_1(a763)
        & ~ c2_1(a763) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a764)
        & ~ c2_1(a764)
        & ~ c3_1(a764) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a773)
        & c2_1(a773)
        & ~ c0_1(a773) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c3_1(a777)
        & ~ c0_1(a777)
        & ~ c1_1(a777) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a691)
        & c1_1(a691)
        & c3_1(a691) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a695)
        & c1_1(a695)
        & c2_1(a695) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a713)
        & c2_1(a713)
        & c3_1(a713) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a733)
        & c2_1(a733)
        & c3_1(a733) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c2_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | c3_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp27
      | hskp6 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp5
      | hskp8 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp3
      | hskp9 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c1_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | ~ c0_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp3
      | hskp1 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp14
      | hskp3 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | hskp14
      | hskp30 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | hskp15
      | hskp12 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp7
      | hskp16 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp7
      | hskp13 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp29
      | hskp17 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp5
      | hskp1 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c1_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c1_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp16
      | hskp20 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | hskp11
      | hskp7 )
    & ( ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp16
      | hskp15 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X109] :
          ( c3_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ c2_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp23
      | hskp24 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp27
      | hskp18 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp30
      | hskp20 )
    & ( hskp28
      | hskp30
      | hskp12 )
    & ( hskp28
      | hskp25
      | hskp22 )
    & ( hskp14
      | hskp7
      | hskp26 )
    & ( hskp29
      | hskp7
      | hskp13 )
    & ( hskp11
      | hskp23
      | hskp13 )
    & ( hskp23
      | hskp18
      | hskp21 )
    & ( hskp30
      | hskp20
      | hskp1 )
    & ( hskp13
      | hskp20
      | hskp12 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a692)
        & ~ c0_1(a692)
        & ~ c1_1(a692) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a693)
        & ~ c1_1(a693)
        & ~ c3_1(a693) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a696)
        & c1_1(a696)
        & ~ c2_1(a696) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a697)
        & c2_1(a697)
        & ~ c3_1(a697) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a698)
        & ~ c2_1(a698)
        & ~ c3_1(a698) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a701)
        & c2_1(a701)
        & ~ c1_1(a701) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a702)
        & c3_1(a702)
        & ~ c2_1(a702) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a708)
        & c2_1(a708)
        & ~ c3_1(a708) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a710)
        & c3_1(a710)
        & ~ c0_1(a710) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c0_1(a712)
        & ~ c1_1(a712)
        & ~ c2_1(a712) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a717)
        & c3_1(a717)
        & ~ c2_1(a717) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a722)
        & c3_1(a722)
        & ~ c1_1(a722) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a725)
        & ~ c1_1(a725)
        & ~ c3_1(a725) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a726)
        & ~ c0_1(a726)
        & ~ c3_1(a726) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a730)
        & c1_1(a730)
        & ~ c3_1(a730) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a734)
        & ~ c1_1(a734)
        & ~ c2_1(a734) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a738)
        & c3_1(a738)
        & ~ c1_1(a738) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a744)
        & ~ c2_1(a744)
        & ~ c3_1(a744) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a751)
        & ~ c1_1(a751)
        & ~ c3_1(a751) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a752)
        & ~ c2_1(a752)
        & ~ c3_1(a752) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a754)
        & ~ c0_1(a754)
        & ~ c3_1(a754) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a760)
        & c3_1(a760)
        & ~ c0_1(a760) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a761)
        & ~ c0_1(a761)
        & ~ c2_1(a761) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a763)
        & ~ c1_1(a763)
        & ~ c2_1(a763) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a764)
        & ~ c2_1(a764)
        & ~ c3_1(a764) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a773)
        & c2_1(a773)
        & ~ c0_1(a773) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c3_1(a777)
        & ~ c0_1(a777)
        & ~ c1_1(a777) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a691)
        & c1_1(a691)
        & c3_1(a691) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a695)
        & c1_1(a695)
        & c2_1(a695) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a713)
        & c2_1(a713)
        & c3_1(a713) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a733)
        & c2_1(a733)
        & c3_1(a733) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c2_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | c3_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | ~ c1_1(X14)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | c3_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp27
      | hskp6 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp5
      | hskp8 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp3
      | hskp9 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c1_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | ~ c0_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp3
      | hskp1 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp14
      | hskp3 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | hskp14
      | hskp30 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | hskp15
      | hskp12 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c2_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp7
      | hskp16 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp7
      | hskp13 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp29
      | hskp17 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | hskp5
      | hskp1 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c1_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c1_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp16
      | hskp20 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | hskp11
      | hskp7 )
    & ( ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | hskp16
      | hskp15 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X109] :
          ( c3_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ c2_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp23
      | hskp24 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp27
      | hskp18 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp30
      | hskp20 )
    & ( hskp28
      | hskp30
      | hskp12 )
    & ( hskp28
      | hskp25
      | hskp22 )
    & ( hskp14
      | hskp7
      | hskp26 )
    & ( hskp29
      | hskp7
      | hskp13 )
    & ( hskp11
      | hskp23
      | hskp13 )
    & ( hskp23
      | hskp18
      | hskp21 )
    & ( hskp30
      | hskp20
      | hskp1 )
    & ( hskp13
      | hskp20
      | hskp12 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp13
    | hskp20
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp30
    | hskp20
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp23
    | hskp18
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp11
    | hskp23
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp29
    | hskp7
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp14
    | hskp7
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X113] :
      ( ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ c3_1(X113)
      | ~ ndr1_0
      | hskp30
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X112] :
      ( ~ c0_1(X112)
      | ~ c1_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | hskp27
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X109,X110] :
      ( c3_1(X109)
      | ~ c1_1(X109)
      | ~ c2_1(X109)
      | ~ ndr1_0
      | ~ c0_1(X110)
      | ~ c2_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X108] :
      ( c3_1(X108)
      | ~ c0_1(X108)
      | ~ c2_1(X108)
      | ~ ndr1_0
      | hskp21
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X105] :
      ( c3_1(X105)
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ ndr1_0
      | hskp16
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X103] :
      ( c2_1(X103)
      | ~ c1_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp16
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X102] :
      ( c2_1(X102)
      | ~ c1_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | ~ c1_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X96,X95] :
      ( c2_1(X95)
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | ~ c0_1(X96)
      | ~ c2_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X91] :
      ( c1_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | hskp7
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X86,X87] :
      ( c1_1(X86)
      | c3_1(X86)
      | ~ c2_1(X86)
      | ~ ndr1_0
      | ~ c0_1(X87)
      | ~ c2_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | c3_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0
      | c2_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X83] :
      ( c1_1(X83)
      | c3_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | hskp15
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X82] :
      ( c1_1(X82)
      | c3_1(X82)
      | ~ c0_1(X82)
      | ~ ndr1_0
      | hskp14
      | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X81] :
      ( c1_1(X81)
      | c3_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | hskp14
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X78] :
      ( c1_1(X78)
      | c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | hskp3
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X76,X77,X75] :
      ( c1_1(X75)
      | c2_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | c1_1(X74)
      | c3_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | c3_1(X69)
      | ~ ndr1_0
      | c2_1(X70)
      | ~ c0_1(X70)
      | ~ c1_1(X70)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X62,X63,X64] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | c1_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | c2_1(X64)
      | c3_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X56,X57] :
      ( c0_1(X56)
      | c3_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | c2_1(X55)
      | c3_1(X55)
      | ~ c1_1(X55)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X51,X52,X53] :
      ( c0_1(X51)
      | c3_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | c2_1(X53)
      | c3_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c0_1(X50)
      | ~ c1_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X48,X46,X47] :
      ( c0_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | c0_1(X47)
      | c3_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | c3_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X38,X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | ~ c0_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c3_1(X38)
      | ~ c1_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X28] :
      ( c0_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | hskp27
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c3_1(X26)
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | c2_1(X24)
      | ~ c0_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c2_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | c3_1(X22)
      | ~ c1_1(X22)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X8,X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | ~ c2_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | c3_1(X8)
      | ~ c0_1(X8)
      | ~ ndr1_0
      | c3_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | ~ c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | c2_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | ~ c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp30
    | c3_1(a733) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp30
    | c2_1(a733) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp30
    | c1_1(a733) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ( ~ hskp30
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp29
    | c3_1(a713) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp29
    | c2_1(a713) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp29
    | c0_1(a713) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp28
    | c2_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp28
    | c1_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp28
    | c0_1(a695) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp27
    | c3_1(a691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp27
    | c1_1(a691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp27
    | c0_1(a691) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp26
    | ~ c1_1(a777) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp26
    | ~ c0_1(a777) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp26
    | c3_1(a777) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp23
    | ~ c2_1(a763) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp23
    | ~ c1_1(a763) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp23
    | c0_1(a763) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp22
    | ~ c2_1(a761) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp22
    | ~ c0_1(a761) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp22
    | c1_1(a761) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp21
    | ~ c0_1(a760) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp21
    | c3_1(a760) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp21
    | c1_1(a760) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp20
    | ~ c3_1(a754) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp20
    | ~ c0_1(a754) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp20
    | c2_1(a754) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp19
    | ~ c3_1(a752) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp19
    | ~ c2_1(a752) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp19
    | c0_1(a752) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp18
    | ~ c3_1(a751) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp18
    | ~ c1_1(a751) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp18
    | c0_1(a751) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp17
    | ~ c3_1(a744) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp17
    | ~ c2_1(a744) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp17
    | ~ c1_1(a744) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp16
    | ~ c1_1(a738) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp16
    | c3_1(a738) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp16
    | c2_1(a738) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp15
    | ~ c2_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp15
    | ~ c1_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp15
    | c3_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp14
    | ~ c3_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp14
    | c1_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp14
    | c0_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp13
    | ~ c3_1(a726) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp13
    | ~ c0_1(a726) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp13
    | c1_1(a726) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp12
    | ~ c3_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp12
    | ~ c1_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp12
    | ~ c0_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp11
    | c3_1(a722) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp11
    | c0_1(a722) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp10
    | ~ c2_1(a717) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp10
    | c3_1(a717) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp10
    | c1_1(a717) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp8
    | ~ c0_1(a710) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp8
    | c3_1(a710) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp8
    | c2_1(a710) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp7
    | ~ c3_1(a708) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp7
    | c2_1(a708) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp7
    | c1_1(a708) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp6
    | ~ c2_1(a702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp6
    | c3_1(a702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp6
    | c0_1(a702) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp3
    | ~ c3_1(a697) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp3
    | c2_1(a697) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp1
    | ~ c3_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp1
    | ~ c1_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp1
    | c2_1(a693) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp0
    | ~ c1_1(a692) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp0
    | ~ c0_1(a692) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp0
    | c2_1(a692) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( hskp0
    | ~ c2_1(a692) ),
    inference(consistent_polarity_flipping,[],[f200]) ).

fof(f204,plain,
    ( hskp0
    | c0_1(a692) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f205,plain,
    ( hskp0
    | ~ c1_1(a692) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f206,plain,
    ( hskp1
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f197]) ).

fof(f207,plain,
    ( hskp1
    | ~ c2_1(a693) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f208,plain,
    ( hskp1
    | ~ c1_1(a693) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f209,plain,
    ( hskp1
    | ~ c3_1(a693) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f213,plain,
    ( ~ hskp3
    | ~ c2_1(a697) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f220,plain,
    ( ~ hskp6
    | ~ c0_1(a702) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f221,plain,
    ( ~ hskp6
    | c2_1(a702) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f223,plain,
    ( hskp7
    | c1_1(a708) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f224,plain,
    ( hskp7
    | ~ c2_1(a708) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f225,plain,
    ( hskp7
    | ~ c3_1(a708) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f227,plain,
    ( hskp8
    | ~ c2_1(a710) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f228,plain,
    ( hskp8
    | c3_1(a710) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f229,plain,
    ( hskp8
    | c0_1(a710) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f232,plain,
    ( ~ hskp10
    | c2_1(a717) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f233,plain,
    ( ~ hskp11
    | ~ c0_1(a722) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f234,plain,
    ( hskp12
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f235,plain,
    ( hskp12
    | c0_1(a725) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f236,plain,
    ( hskp12
    | ~ c1_1(a725) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f237,plain,
    ( hskp12
    | ~ c3_1(a725) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f239,plain,
    ( hskp13
    | c1_1(a726) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f240,plain,
    ( hskp13
    | c0_1(a726) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f241,plain,
    ( hskp13
    | ~ c3_1(a726) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f242,plain,
    ( ~ hskp14
    | ~ c0_1(a730) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f243,plain,
    ( ~ hskp15
    | c2_1(a734) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f244,plain,
    ( ~ hskp16
    | ~ c2_1(a738) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f246,plain,
    ( hskp17
    | ~ c1_1(a744) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f247,plain,
    ( hskp17
    | c2_1(a744) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f248,plain,
    ( hskp17
    | ~ c3_1(a744) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f250,plain,
    ( hskp18
    | ~ c0_1(a751) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f251,plain,
    ( hskp18
    | ~ c1_1(a751) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f252,plain,
    ( hskp18
    | ~ c3_1(a751) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f253,plain,
    ( ~ hskp19
    | ~ c0_1(a752) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f254,plain,
    ( ~ hskp19
    | c2_1(a752) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f255,plain,
    ( ~ hskp20
    | ~ c2_1(a754) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f256,plain,
    ( ~ hskp20
    | c0_1(a754) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f258,plain,
    ( hskp21
    | c1_1(a760) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f259,plain,
    ( hskp21
    | c3_1(a760) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f260,plain,
    ( hskp21
    | c0_1(a760) ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f262,plain,
    ( hskp22
    | c1_1(a761) ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f263,plain,
    ( hskp22
    | c0_1(a761) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f264,plain,
    ( hskp22
    | c2_1(a761) ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f265,plain,
    ( ~ hskp23
    | ~ c0_1(a763) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f266,plain,
    ( ~ hskp23
    | c2_1(a763) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f271,plain,
    ( hskp26
    | c3_1(a777) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f272,plain,
    ( hskp26
    | c0_1(a777) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f273,plain,
    ( hskp26
    | ~ c1_1(a777) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f274,plain,
    ( ~ hskp27
    | ~ c0_1(a691) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f275,plain,
    ( ~ hskp28
    | ~ c0_1(a695) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f276,plain,
    ( ~ hskp28
    | ~ c2_1(a695) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f277,plain,
    ( ~ hskp29
    | ~ c0_1(a713) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f278,plain,
    ( ~ hskp29
    | ~ c2_1(a713) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f279,plain,
    ( ~ hskp30
    | ~ c2_1(a733) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f282,plain,
    ! [X3,X4] :
      ( ~ c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ ndr1_0
      | hskp27 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f283,plain,
    ! [X6,X5] :
      ( ~ c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | ~ c2_1(X6)
      | c0_1(X6)
      | ~ ndr1_0
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f284,plain,
    ! [X8,X9,X7] :
      ( ~ c0_1(X7)
      | c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | c3_1(X8)
      | c0_1(X8)
      | ~ ndr1_0
      | c3_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f291,plain,
    ! [X21,X22] :
      ( ~ c0_1(X21)
      | ~ c2_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c0_1(X22)
      | c3_1(X22)
      | ~ c1_1(X22)
      | ~ ndr1_0
      | hskp6 ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f292,plain,
    ! [X24,X23] :
      ( ~ c0_1(X23)
      | ~ c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | c0_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f293,plain,
    ! [X26,X27,X25] :
      ( ~ c0_1(X25)
      | ~ c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c3_1(X26)
      | c0_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f294,plain,
    ! [X28] :
      ( ~ c0_1(X28)
      | ~ c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | hskp27
      | hskp6 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f300,plain,
    ! [X38,X36,X37] :
      ( ~ c0_1(X36)
      | ~ c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | c0_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c3_1(X38)
      | ~ c1_1(X38)
      | c2_1(X38)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f302,plain,
    ! [X41,X42,X43] :
      ( ~ c0_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | c3_1(X43)
      | c2_1(X43)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f304,plain,
    ! [X48,X46,X47] :
      ( ~ c0_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | ~ c0_1(X47)
      | c3_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | ~ c2_1(X48)
      | c0_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f305,plain,
    ! [X50,X49] :
      ( ~ c0_1(X49)
      | c3_1(X49)
      | c2_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | ~ c1_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f306,plain,
    ! [X51,X52,X53] :
      ( ~ c0_1(X51)
      | c3_1(X51)
      | c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | ~ c2_1(X52)
      | c0_1(X52)
      | ~ ndr1_0
      | ~ c2_1(X53)
      | c3_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f307,plain,
    ! [X54,X55] :
      ( ~ c0_1(X54)
      | c3_1(X54)
      | c2_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | c3_1(X55)
      | ~ c1_1(X55)
      | ~ ndr1_0
      | hskp6 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f308,plain,
    ! [X56,X57] :
      ( ~ c0_1(X56)
      | c3_1(X56)
      | c2_1(X56)
      | ~ ndr1_0
      | ~ c1_1(X57)
      | c2_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f311,plain,
    ! [X62,X63,X64] :
      ( ~ c0_1(X62)
      | c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | c1_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | c3_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f314,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | ~ c2_1(X69)
      | c3_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | c0_1(X70)
      | ~ c1_1(X70)
      | ~ ndr1_0
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f316,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | c1_1(X74)
      | c3_1(X74)
      | c0_1(X74)
      | ~ ndr1_0
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f317,plain,
    ! [X76,X77,X75] :
      ( c1_1(X75)
      | ~ c2_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | c0_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f318,plain,
    ! [X78] :
      ( c1_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | hskp3
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f319,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | c0_1(X79)
      | ~ ndr1_0
      | ~ c2_1(X80)
      | c0_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f320,plain,
    ! [X81] :
      ( c1_1(X81)
      | c3_1(X81)
      | c0_1(X81)
      | ~ ndr1_0
      | hskp14
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f321,plain,
    ! [X82] :
      ( c1_1(X82)
      | c3_1(X82)
      | c0_1(X82)
      | ~ ndr1_0
      | hskp14
      | hskp30 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f322,plain,
    ! [X83] :
      ( c1_1(X83)
      | c3_1(X83)
      | c0_1(X83)
      | ~ ndr1_0
      | hskp15
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f323,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | c3_1(X84)
      | c2_1(X84)
      | ~ ndr1_0
      | ~ c2_1(X85)
      | c3_1(X85)
      | c0_1(X85)
      | ~ ndr1_0
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f324,plain,
    ! [X86,X87] :
      ( c1_1(X86)
      | c3_1(X86)
      | c2_1(X86)
      | ~ ndr1_0
      | c0_1(X87)
      | c2_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f327,plain,
    ! [X91] :
      ( c1_1(X91)
      | c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | ~ hskp7
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f330,plain,
    ! [X96,X95] :
      ( ~ c2_1(X95)
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | c0_1(X96)
      | c2_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | hskp30 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f333,plain,
    ! [X101,X100] :
      ( ~ c2_1(X100)
      | ~ c1_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | c0_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f334,plain,
    ! [X102] :
      ( ~ c2_1(X102)
      | ~ c1_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | ~ hskp18
      | hskp19 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f335,plain,
    ! [X103] :
      ( ~ c2_1(X103)
      | ~ c1_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp16
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f337,plain,
    ! [X105] :
      ( c3_1(X105)
      | c0_1(X105)
      | ~ c1_1(X105)
      | ~ ndr1_0
      | hskp16
      | hskp15 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f339,plain,
    ! [X108] :
      ( c3_1(X108)
      | c0_1(X108)
      | c2_1(X108)
      | ~ ndr1_0
      | ~ hskp21
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f340,plain,
    ! [X109,X110] :
      ( c3_1(X109)
      | ~ c1_1(X109)
      | c2_1(X109)
      | ~ ndr1_0
      | c0_1(X110)
      | c2_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f342,plain,
    ! [X112] :
      ( c0_1(X112)
      | ~ c1_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | hskp27
      | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f343,plain,
    ! [X113] :
      ( c0_1(X113)
      | ~ c1_1(X113)
      | ~ c3_1(X113)
      | ~ ndr1_0
      | hskp30
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f346,plain,
    ( hskp14
    | ~ hskp7
    | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f347,plain,
    ( hskp29
    | ~ hskp7
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f348,plain,
    ( hskp11
    | hskp23
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f349,plain,
    ( hskp23
    | ~ hskp18
    | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f350,plain,
    ( hskp30
    | hskp20
    | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f351,plain,
    ( ~ hskp13
    | hskp20
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f352,plain,
    ! [X109,X110] :
      ( c3_1(X109)
      | ~ c1_1(X109)
      | c2_1(X109)
      | ~ ndr1_0
      | c0_1(X110)
      | c2_1(X110)
      | ~ c3_1(X110)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f340]) ).

fof(f354,plain,
    ! [X101,X100] :
      ( ~ c2_1(X100)
      | ~ c1_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | c0_1(X101)
      | ~ c1_1(X101)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f333]) ).

fof(f356,plain,
    ! [X96,X95] :
      ( ~ c2_1(X95)
      | c3_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | c0_1(X96)
      | c2_1(X96)
      | ~ c3_1(X96)
      | hskp30 ),
    inference(duplicate_literal_removal,[],[f330]) ).

fof(f359,plain,
    ! [X86,X87] :
      ( c1_1(X86)
      | c3_1(X86)
      | c2_1(X86)
      | ~ ndr1_0
      | c0_1(X87)
      | c2_1(X87)
      | ~ c3_1(X87)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f324]) ).

fof(f360,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | c3_1(X84)
      | c2_1(X84)
      | ~ ndr1_0
      | ~ c2_1(X85)
      | c3_1(X85)
      | c0_1(X85)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f361,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | c3_1(X79)
      | c0_1(X79)
      | ~ ndr1_0
      | ~ c2_1(X80)
      | c0_1(X80)
      | ~ c3_1(X80)
      | ~ hskp0 ),
    inference(duplicate_literal_removal,[],[f319]) ).

fof(f362,plain,
    ! [X76,X77,X75] :
      ( c1_1(X75)
      | ~ c2_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | c2_1(X76)
      | ~ c3_1(X76)
      | c3_1(X77)
      | c0_1(X77)
      | ~ c1_1(X77) ),
    inference(duplicate_literal_removal,[],[f317]) ).

fof(f363,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | ~ c2_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | c1_1(X74)
      | c3_1(X74)
      | c0_1(X74)
      | ~ hskp13 ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f365,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | ~ c2_1(X69)
      | c3_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | c0_1(X70)
      | ~ c1_1(X70)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f314]) ).

fof(f368,plain,
    ! [X62,X63,X64] :
      ( ~ c0_1(X62)
      | c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | c1_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | ~ c2_1(X64)
      | c3_1(X64)
      | ~ c1_1(X64) ),
    inference(duplicate_literal_removal,[],[f311]) ).

fof(f371,plain,
    ! [X56,X57] :
      ( ~ c0_1(X56)
      | c3_1(X56)
      | c2_1(X56)
      | ~ ndr1_0
      | ~ c1_1(X57)
      | c2_1(X57)
      | ~ c3_1(X57)
      | ~ hskp8 ),
    inference(duplicate_literal_removal,[],[f308]) ).

fof(f372,plain,
    ! [X54,X55] :
      ( ~ c0_1(X54)
      | c3_1(X54)
      | c2_1(X54)
      | ~ ndr1_0
      | ~ c2_1(X55)
      | c3_1(X55)
      | ~ c1_1(X55)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f373,plain,
    ! [X51,X52,X53] :
      ( ~ c0_1(X51)
      | c3_1(X51)
      | c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | ~ c2_1(X52)
      | c0_1(X52)
      | ~ c2_1(X53)
      | c3_1(X53)
      | c0_1(X53) ),
    inference(duplicate_literal_removal,[],[f306]) ).

fof(f374,plain,
    ! [X50,X49] :
      ( ~ c0_1(X49)
      | c3_1(X49)
      | c2_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | ~ c1_1(X50)
      | ~ c3_1(X50)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f305]) ).

fof(f375,plain,
    ! [X48,X46,X47] :
      ( ~ c0_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | ~ c0_1(X47)
      | c3_1(X47)
      | c2_1(X47)
      | ~ c2_1(X48)
      | c0_1(X48)
      | ~ c3_1(X48) ),
    inference(duplicate_literal_removal,[],[f304]) ).

fof(f377,plain,
    ! [X41,X42,X43] :
      ( ~ c0_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | c1_1(X43)
      | c3_1(X43)
      | c2_1(X43) ),
    inference(duplicate_literal_removal,[],[f302]) ).

fof(f379,plain,
    ! [X38,X36,X37] :
      ( ~ c0_1(X36)
      | ~ c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | c0_1(X37)
      | ~ c1_1(X37)
      | c3_1(X38)
      | ~ c1_1(X38)
      | c2_1(X38) ),
    inference(duplicate_literal_removal,[],[f300]) ).

fof(f382,plain,
    ! [X26,X27,X25] :
      ( ~ c0_1(X25)
      | ~ c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c3_1(X26)
      | c0_1(X26)
      | ~ c1_1(X26)
      | c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27) ),
    inference(duplicate_literal_removal,[],[f293]) ).

fof(f383,plain,
    ! [X24,X23] :
      ( ~ c0_1(X23)
      | ~ c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | c0_1(X24)
      | ~ c3_1(X24)
      | ~ hskp0 ),
    inference(duplicate_literal_removal,[],[f292]) ).

fof(f384,plain,
    ! [X21,X22] :
      ( ~ c0_1(X21)
      | ~ c2_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c0_1(X22)
      | c3_1(X22)
      | ~ c1_1(X22)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f389,plain,
    ! [X8,X9,X7] :
      ( ~ c0_1(X7)
      | c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | c3_1(X8)
      | c0_1(X8)
      | c3_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9) ),
    inference(duplicate_literal_removal,[],[f284]) ).

fof(f390,plain,
    ! [X6,X5] :
      ( ~ c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | ~ c2_1(X6)
      | c0_1(X6)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f283]) ).

fof(f391,plain,
    ! [X3,X4] :
      ( ~ c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | hskp27 ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f394,definition,
    ( spl0_1
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f398,definition,
    ( spl0_2
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f402,definition,
    ( spl0_3
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f405,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f351,f402,f398,f394]) ).

fof(f407,definition,
    ( spl0_4
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f411,definition,
    ( spl0_5
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f414,plain,
    ( ~ spl0_4
    | spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f350,f411,f398,f407]) ).

fof(f416,definition,
    ( spl0_6
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f420,definition,
    ( spl0_7
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f424,definition,
    ( spl0_8
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f427,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f349,f424,f420,f416]) ).

fof(f429,definition,
    ( spl0_9
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f432,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f348,f429,f424,f402]) ).

fof(f434,definition,
    ( spl0_10
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f438,definition,
    ( spl0_11
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f441,plain,
    ( ~ spl0_3
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f347,f438,f434,f402]) ).

fof(f443,definition,
    ( spl0_12
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f447,definition,
    ( spl0_13
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f450,plain,
    ( ~ spl0_12
    | ~ spl0_10
    | spl0_13 ),
    inference(avatar_split_clause,[],[f346,f447,f434,f443]) ).

fof(f452,definition,
    ( spl0_14
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f460,definition,
    ( spl0_16
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f466,definition,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f470,definition,
    ( spl0_18
  <=> ! [X113] :
        ( c0_1(X113)
        | ~ c3_1(X113)
        | ~ c1_1(X113) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f471,plain,
    ( ! [X113] :
        ( ~ c3_1(X113)
        | c0_1(X113)
        | ~ c1_1(X113) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f472,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f343,f470,f466,f411,f398]) ).

fof(f474,definition,
    ( spl0_19
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ spl0_7
    | spl0_19
    | ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f342,f470,f466,f474,f420]) ).

fof(f483,definition,
    ( spl0_21
  <=> ! [X111] :
        ( c0_1(X111)
        | c2_1(X111)
        | ~ c1_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X111] :
        ( ~ c1_1(X111)
        | c2_1(X111)
        | c0_1(X111) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f487,definition,
    ( spl0_22
  <=> ! [X110] :
        ( c0_1(X110)
        | ~ c3_1(X110)
        | c2_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X110] :
        ( ~ c3_1(X110)
        | c0_1(X110)
        | c2_1(X110) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f490,definition,
    ( spl0_23
  <=> ! [X109] :
        ( c3_1(X109)
        | c2_1(X109)
        | ~ c1_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f491,plain,
    ( ! [X109] :
        ( c3_1(X109)
        | c2_1(X109)
        | ~ c1_1(X109) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f492,plain,
    ( spl0_2
    | spl0_22
    | ~ spl0_17
    | spl0_23 ),
    inference(avatar_split_clause,[],[f352,f490,f466,f487,f398]) ).

fof(f494,definition,
    ( spl0_24
  <=> ! [X108] :
        ( c3_1(X108)
        | c2_1(X108)
        | c0_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f495,plain,
    ( ! [X108] :
        ( c3_1(X108)
        | c2_1(X108)
        | c0_1(X108) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f496,plain,
    ( ~ spl0_14
    | ~ spl0_6
    | ~ spl0_17
    | spl0_24 ),
    inference(avatar_split_clause,[],[f339,f494,f466,f416,f452]) ).

fof(f498,definition,
    ( spl0_25
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f502,definition,
    ( spl0_26
  <=> ! [X107] :
        ( ~ c1_1(X107)
        | ~ c3_1(X107)
        | c2_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f503,plain,
    ( ! [X107] :
        ( ~ c3_1(X107)
        | ~ c1_1(X107)
        | c2_1(X107) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f506,definition,
    ( spl0_27
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f510,definition,
    ( spl0_28
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f514,definition,
    ( spl0_29
  <=> ! [X105] :
        ( c3_1(X105)
        | ~ c1_1(X105)
        | c0_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f515,plain,
    ( ! [X105] :
        ( c3_1(X105)
        | ~ c1_1(X105)
        | c0_1(X105) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f516,plain,
    ( spl0_27
    | spl0_28
    | ~ spl0_17
    | spl0_29 ),
    inference(avatar_split_clause,[],[f337,f514,f466,f510,f506]) ).

fof(f519,definition,
    ( spl0_30
  <=> ! [X103] :
        ( ~ c2_1(X103)
        | ~ c3_1(X103)
        | ~ c1_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f520,plain,
    ( ! [X103] :
        ( ~ c3_1(X103)
        | ~ c2_1(X103)
        | ~ c1_1(X103) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f521,plain,
    ( spl0_2
    | spl0_28
    | ~ spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f335,f519,f466,f510,f398]) ).

fof(f523,definition,
    ( spl0_31
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f526,plain,
    ( spl0_31
    | ~ spl0_7
    | ~ spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f334,f519,f466,f420,f523]) ).

fof(f528,definition,
    ( spl0_32
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f531,plain,
    ( ~ spl0_32
    | spl0_29
    | ~ spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f354,f519,f466,f514,f528]) ).

fof(f533,definition,
    ( spl0_33
  <=> ! [X98] :
        ( ~ c2_1(X98)
        | ~ c3_1(X98)
        | c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f534,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | ~ c2_1(X98)
        | c0_1(X98) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f541,definition,
    ( spl0_35
  <=> ! [X97] :
        ( ~ c2_1(X97)
        | ~ c1_1(X97)
        | c0_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f542,plain,
    ( ! [X97] :
        ( ~ c1_1(X97)
        | ~ c2_1(X97)
        | c0_1(X97) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f545,definition,
    ( spl0_36
  <=> ! [X95] :
        ( ~ c2_1(X95)
        | ~ c1_1(X95)
        | c3_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f546,plain,
    ( ! [X95] :
        ( c3_1(X95)
        | ~ c1_1(X95)
        | ~ c2_1(X95) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f547,plain,
    ( spl0_5
    | spl0_22
    | ~ spl0_17
    | spl0_36 ),
    inference(avatar_split_clause,[],[f356,f545,f466,f487,f411]) ).

fof(f550,definition,
    ( spl0_37
  <=> ! [X92] :
        ( ~ c2_1(X92)
        | c0_1(X92)
        | c3_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f551,plain,
    ( ! [X92] :
        ( c3_1(X92)
        | c0_1(X92)
        | ~ c2_1(X92) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f554,definition,
    ( spl0_38
  <=> ! [X91] :
        ( c1_1(X91)
        | ~ c3_1(X91)
        | c2_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f555,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c1_1(X91)
        | c2_1(X91) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f556,plain,
    ( ~ spl0_3
    | ~ spl0_10
    | ~ spl0_17
    | spl0_38 ),
    inference(avatar_split_clause,[],[f327,f554,f466,f434,f402]) ).

fof(f563,definition,
    ( spl0_40
  <=> ! [X86] :
        ( c1_1(X86)
        | c2_1(X86)
        | c3_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f564,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c2_1(X86)
        | c1_1(X86) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f565,plain,
    ( spl0_13
    | spl0_22
    | ~ spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f359,f563,f466,f487,f447]) ).

fof(f566,plain,
    ( spl0_16
    | spl0_37
    | ~ spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f360,f563,f466,f550,f460]) ).

fof(f568,definition,
    ( spl0_41
  <=> ! [X83] :
        ( c1_1(X83)
        | c0_1(X83)
        | c3_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f569,plain,
    ( ! [X83] :
        ( c3_1(X83)
        | c0_1(X83)
        | c1_1(X83) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f570,plain,
    ( ~ spl0_1
    | spl0_27
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f322,f568,f466,f506,f394]) ).

fof(f571,plain,
    ( spl0_5
    | spl0_13
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f321,f568,f466,f447,f411]) ).

fof(f572,plain,
    ( spl0_25
    | spl0_13
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f320,f568,f466,f447,f498]) ).

fof(f574,definition,
    ( spl0_42
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f577,plain,
    ( ~ spl0_42
    | spl0_33
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f361,f568,f466,f533,f574]) ).

fof(f579,definition,
    ( spl0_43
  <=> ! [X78] :
        ( c1_1(X78)
        | ~ c3_1(X78)
        | ~ c2_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f580,plain,
    ( ! [X78] :
        ( ~ c3_1(X78)
        | c1_1(X78)
        | ~ c2_1(X78) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f581,plain,
    ( ~ spl0_4
    | spl0_25
    | ~ spl0_17
    | spl0_43 ),
    inference(avatar_split_clause,[],[f318,f579,f466,f498,f407]) ).

fof(f582,plain,
    ( spl0_29
    | spl0_38
    | ~ spl0_17
    | spl0_43 ),
    inference(avatar_split_clause,[],[f362,f579,f466,f554,f514]) ).

fof(f583,plain,
    ( ~ spl0_3
    | spl0_41
    | ~ spl0_17
    | spl0_43 ),
    inference(avatar_split_clause,[],[f363,f579,f466,f568,f402]) ).

fof(f585,definition,
    ( spl0_44
  <=> ! [X71] :
        ( c1_1(X71)
        | c0_1(X71)
        | ~ c2_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f586,plain,
    ( ! [X71] :
        ( c1_1(X71)
        | c0_1(X71)
        | ~ c2_1(X71) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f589,definition,
    ( spl0_45
  <=> ! [X69] :
        ( c1_1(X69)
        | c3_1(X69)
        | ~ c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f590,plain,
    ( ! [X69] :
        ( c3_1(X69)
        | c1_1(X69)
        | ~ c2_1(X69) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f591,plain,
    ( spl0_25
    | spl0_35
    | ~ spl0_17
    | spl0_45 ),
    inference(avatar_split_clause,[],[f365,f589,f466,f541,f498]) ).

fof(f593,definition,
    ( spl0_46
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f597,definition,
    ( spl0_47
  <=> ! [X67] :
        ( ~ c0_1(X67)
        | ~ c3_1(X67)
        | c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f598,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | ~ c0_1(X67)
        | c2_1(X67) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f601,plain,
    ( spl0_36
    | spl0_38
    | ~ spl0_17
    | spl0_47 ),
    inference(avatar_split_clause,[],[f368,f597,f466,f554,f545]) ).

fof(f607,definition,
    ( spl0_49
  <=> ! [X60] :
        ( ~ c0_1(X60)
        | ~ c3_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f608,plain,
    ( ! [X60] :
        ( ~ c3_1(X60)
        | ~ c0_1(X60)
        | ~ c1_1(X60) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f615,definition,
    ( spl0_51
  <=> ! [X56] :
        ( ~ c0_1(X56)
        | c2_1(X56)
        | c3_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f616,plain,
    ( ! [X56] :
        ( c3_1(X56)
        | c2_1(X56)
        | ~ c0_1(X56) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f617,plain,
    ( ~ spl0_46
    | spl0_26
    | ~ spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f371,f615,f466,f502,f593]) ).

fof(f619,definition,
    ( spl0_52
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f622,plain,
    ( spl0_52
    | spl0_36
    | ~ spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f372,f615,f466,f545,f619]) ).

fof(f623,plain,
    ( spl0_37
    | spl0_44
    | ~ spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f373,f615,f466,f585,f550]) ).

fof(f625,definition,
    ( spl0_53
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f628,plain,
    ( spl0_53
    | spl0_49
    | ~ spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f374,f615,f466,f607,f625]) ).

fof(f630,definition,
    ( spl0_54
  <=> ! [X46] :
        ( ~ c0_1(X46)
        | ~ c1_1(X46)
        | c3_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f631,plain,
    ( ! [X46] :
        ( c3_1(X46)
        | ~ c1_1(X46)
        | ~ c0_1(X46) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f632,plain,
    ( spl0_33
    | spl0_51
    | ~ spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f375,f630,f466,f615,f533]) ).

fof(f634,definition,
    ( spl0_55
  <=> ! [X44] :
        ( ~ c0_1(X44)
        | ~ c3_1(X44)
        | ~ c2_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f635,plain,
    ( ! [X44] :
        ( ~ c3_1(X44)
        | ~ c0_1(X44)
        | ~ c2_1(X44) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f637,plain,
    ( spl0_40
    | spl0_43
    | ~ spl0_17
    | spl0_55 ),
    inference(avatar_split_clause,[],[f377,f634,f466,f579,f563]) ).

fof(f640,definition,
    ( spl0_56
  <=> ! [X36] :
        ( ~ c0_1(X36)
        | ~ c1_1(X36)
        | ~ c2_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f641,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | ~ c0_1(X36)
        | ~ c2_1(X36) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f642,plain,
    ( spl0_23
    | spl0_29
    | ~ spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f379,f640,f466,f514,f490]) ).

fof(f650,definition,
    ( spl0_58
  <=> ! [X31] :
        ( ~ c0_1(X31)
        | c3_1(X31)
        | ~ c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f651,plain,
    ( ! [X31] :
        ( c3_1(X31)
        | ~ c0_1(X31)
        | ~ c2_1(X31) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f659,plain,
    ( spl0_52
    | spl0_19
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f294,f650,f466,f474,f619]) ).

fof(f660,plain,
    ( spl0_22
    | spl0_29
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f382,f650,f466,f514,f487]) ).

fof(f661,plain,
    ( ~ spl0_42
    | spl0_33
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f383,f650,f466,f533,f574]) ).

fof(f662,plain,
    ( spl0_52
    | spl0_54
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f384,f650,f466,f630,f619]) ).

fof(f671,definition,
    ( spl0_61
  <=> ! [X12] :
        ( ~ c0_1(X12)
        | c2_1(X12)
        | c1_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f672,plain,
    ( ! [X12] :
        ( c1_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f675,plain,
    ( spl0_23
    | spl0_41
    | ~ spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f389,f671,f466,f568,f490]) ).

fof(f676,plain,
    ( spl0_16
    | spl0_44
    | ~ spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f390,f671,f466,f585,f460]) ).

fof(f677,plain,
    ( spl0_19
    | spl0_56
    | ~ spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f391,f671,f466,f640,f474]) ).

fof(f684,definition,
    ( spl0_63
  <=> c3_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f686,plain,
    ( c3_1(a733)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f687,plain,
    ( spl0_63
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f78,f411,f684]) ).

fof(f689,definition,
    ( spl0_64
  <=> c2_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f692,plain,
    ( ~ spl0_64
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f279,f411,f689]) ).

fof(f694,definition,
    ( spl0_65
  <=> c1_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f697,plain,
    ( spl0_65
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f80,f411,f694]) ).

fof(f698,plain,
    ( spl0_17
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f81,f411,f466]) ).

fof(f700,definition,
    ( spl0_66
  <=> c3_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f702,plain,
    ( c3_1(a713)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f703,plain,
    ( spl0_66
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f82,f438,f700]) ).

fof(f705,definition,
    ( spl0_67
  <=> c2_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f708,plain,
    ( ~ spl0_67
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f278,f438,f705]) ).

fof(f710,definition,
    ( spl0_68
  <=> c0_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f713,plain,
    ( ~ spl0_68
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f277,f438,f710]) ).

fof(f716,definition,
    ( spl0_69
  <=> c2_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f719,plain,
    ( ~ spl0_69
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f276,f460,f716]) ).

fof(f721,definition,
    ( spl0_70
  <=> c1_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f723,plain,
    ( c1_1(a695)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f724,plain,
    ( spl0_70
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f87,f460,f721]) ).

fof(f726,definition,
    ( spl0_71
  <=> c0_1(a695) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f728,plain,
    ( ~ c0_1(a695)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f729,plain,
    ( ~ spl0_71
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f275,f460,f726]) ).

fof(f732,definition,
    ( spl0_72
  <=> c3_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f734,plain,
    ( c3_1(a691)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f735,plain,
    ( spl0_72
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f90,f474,f732]) ).

fof(f737,definition,
    ( spl0_73
  <=> c1_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f739,plain,
    ( c1_1(a691)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f740,plain,
    ( spl0_73
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f91,f474,f737]) ).

fof(f742,definition,
    ( spl0_74
  <=> c0_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f745,plain,
    ( ~ spl0_74
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f274,f474,f742]) ).

fof(f748,definition,
    ( spl0_75
  <=> c1_1(a777) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f751,plain,
    ( ~ spl0_75
    | spl0_12 ),
    inference(avatar_split_clause,[],[f273,f443,f748]) ).

fof(f753,definition,
    ( spl0_76
  <=> c0_1(a777) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f756,plain,
    ( spl0_76
    | spl0_12 ),
    inference(avatar_split_clause,[],[f272,f443,f753]) ).

fof(f758,definition,
    ( spl0_77
  <=> c3_1(a777) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f760,plain,
    ( c3_1(a777)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f761,plain,
    ( spl0_77
    | spl0_12 ),
    inference(avatar_split_clause,[],[f271,f443,f758]) ).

fof(f796,definition,
    ( spl0_84
  <=> c2_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f799,plain,
    ( spl0_84
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f266,f424,f796]) ).

fof(f801,definition,
    ( spl0_85
  <=> c1_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f803,plain,
    ( ~ c1_1(a763)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f804,plain,
    ( ~ spl0_85
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f107,f424,f801]) ).

fof(f806,definition,
    ( spl0_86
  <=> c0_1(a763) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f808,plain,
    ( ~ c0_1(a763)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f809,plain,
    ( ~ spl0_86
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f265,f424,f806]) ).

fof(f812,definition,
    ( spl0_87
  <=> c2_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f815,plain,
    ( spl0_87
    | spl0_14 ),
    inference(avatar_split_clause,[],[f264,f452,f812]) ).

fof(f817,definition,
    ( spl0_88
  <=> c0_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f820,plain,
    ( spl0_88
    | spl0_14 ),
    inference(avatar_split_clause,[],[f263,f452,f817]) ).

fof(f822,definition,
    ( spl0_89
  <=> c1_1(a761) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f824,plain,
    ( c1_1(a761)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f825,plain,
    ( spl0_89
    | spl0_14 ),
    inference(avatar_split_clause,[],[f262,f452,f822]) ).

fof(f828,definition,
    ( spl0_90
  <=> c0_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f831,plain,
    ( spl0_90
    | spl0_6 ),
    inference(avatar_split_clause,[],[f260,f416,f828]) ).

fof(f833,definition,
    ( spl0_91
  <=> c3_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f835,plain,
    ( c3_1(a760)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( spl0_91
    | spl0_6 ),
    inference(avatar_split_clause,[],[f259,f416,f833]) ).

fof(f838,definition,
    ( spl0_92
  <=> c1_1(a760) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f841,plain,
    ( spl0_92
    | spl0_6 ),
    inference(avatar_split_clause,[],[f258,f416,f838]) ).

fof(f844,definition,
    ( spl0_93
  <=> c3_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f846,plain,
    ( ~ c3_1(a754)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f847,plain,
    ( ~ spl0_93
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f118,f398,f844]) ).

fof(f849,definition,
    ( spl0_94
  <=> c0_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f852,plain,
    ( spl0_94
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f256,f398,f849]) ).

fof(f854,definition,
    ( spl0_95
  <=> c2_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f857,plain,
    ( ~ spl0_95
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f255,f398,f854]) ).

fof(f858,plain,
    ( spl0_17
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f121,f398,f466]) ).

fof(f860,definition,
    ( spl0_96
  <=> c3_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f862,plain,
    ( ~ c3_1(a752)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f863,plain,
    ( ~ spl0_96
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f122,f523,f860]) ).

fof(f865,definition,
    ( spl0_97
  <=> c2_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f868,plain,
    ( spl0_97
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f254,f523,f865]) ).

fof(f870,definition,
    ( spl0_98
  <=> c0_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f873,plain,
    ( ~ spl0_98
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f253,f523,f870]) ).

fof(f876,definition,
    ( spl0_99
  <=> c3_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f878,plain,
    ( ~ c3_1(a751)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f879,plain,
    ( ~ spl0_99
    | spl0_7 ),
    inference(avatar_split_clause,[],[f252,f420,f876]) ).

fof(f881,definition,
    ( spl0_100
  <=> c1_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f883,plain,
    ( ~ c1_1(a751)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f884,plain,
    ( ~ spl0_100
    | spl0_7 ),
    inference(avatar_split_clause,[],[f251,f420,f881]) ).

fof(f886,definition,
    ( spl0_101
  <=> c0_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f889,plain,
    ( ~ spl0_101
    | spl0_7 ),
    inference(avatar_split_clause,[],[f250,f420,f886]) ).

fof(f892,definition,
    ( spl0_102
  <=> c3_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f894,plain,
    ( ~ c3_1(a744)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f895,plain,
    ( ~ spl0_102
    | spl0_32 ),
    inference(avatar_split_clause,[],[f248,f528,f892]) ).

fof(f897,definition,
    ( spl0_103
  <=> c2_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f900,plain,
    ( spl0_103
    | spl0_32 ),
    inference(avatar_split_clause,[],[f247,f528,f897]) ).

fof(f902,definition,
    ( spl0_104
  <=> c1_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ spl0_104
    | spl0_32 ),
    inference(avatar_split_clause,[],[f246,f528,f902]) ).

fof(f908,definition,
    ( spl0_105
  <=> c1_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f911,plain,
    ( ~ spl0_105
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f134,f510,f908]) ).

fof(f913,definition,
    ( spl0_106
  <=> c3_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f915,plain,
    ( c3_1(a738)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f916,plain,
    ( spl0_106
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f135,f510,f913]) ).

fof(f918,definition,
    ( spl0_107
  <=> c2_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ spl0_107
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f244,f510,f918]) ).

fof(f924,definition,
    ( spl0_108
  <=> c2_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f927,plain,
    ( spl0_108
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f243,f506,f924]) ).

fof(f929,definition,
    ( spl0_109
  <=> c1_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f931,plain,
    ( ~ c1_1(a734)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f932,plain,
    ( ~ spl0_109
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f139,f506,f929]) ).

fof(f934,definition,
    ( spl0_110
  <=> c3_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f936,plain,
    ( c3_1(a734)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f937,plain,
    ( spl0_110
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f140,f506,f934]) ).

fof(f940,definition,
    ( spl0_111
  <=> c3_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f942,plain,
    ( ~ c3_1(a730)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f943,plain,
    ( ~ spl0_111
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f142,f447,f940]) ).

fof(f945,definition,
    ( spl0_112
  <=> c1_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f947,plain,
    ( c1_1(a730)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f948,plain,
    ( spl0_112
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f143,f447,f945]) ).

fof(f950,definition,
    ( spl0_113
  <=> c0_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f953,plain,
    ( ~ spl0_113
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f242,f447,f950]) ).

fof(f956,definition,
    ( spl0_114
  <=> c3_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f958,plain,
    ( ~ c3_1(a726)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f959,plain,
    ( ~ spl0_114
    | spl0_3 ),
    inference(avatar_split_clause,[],[f241,f402,f956]) ).

fof(f961,definition,
    ( spl0_115
  <=> c0_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f964,plain,
    ( spl0_115
    | spl0_3 ),
    inference(avatar_split_clause,[],[f240,f402,f961]) ).

fof(f966,definition,
    ( spl0_116
  <=> c1_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f969,plain,
    ( spl0_116
    | spl0_3 ),
    inference(avatar_split_clause,[],[f239,f402,f966]) ).

fof(f972,definition,
    ( spl0_117
  <=> c3_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f974,plain,
    ( ~ c3_1(a725)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f975,plain,
    ( ~ spl0_117
    | spl0_1 ),
    inference(avatar_split_clause,[],[f237,f394,f972]) ).

fof(f977,definition,
    ( spl0_118
  <=> c1_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f979,plain,
    ( ~ c1_1(a725)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f980,plain,
    ( ~ spl0_118
    | spl0_1 ),
    inference(avatar_split_clause,[],[f236,f394,f977]) ).

fof(f982,definition,
    ( spl0_119
  <=> c0_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f985,plain,
    ( spl0_119
    | spl0_1 ),
    inference(avatar_split_clause,[],[f235,f394,f982]) ).

fof(f986,plain,
    ( spl0_17
    | spl0_1 ),
    inference(avatar_split_clause,[],[f234,f394,f466]) ).

fof(f993,definition,
    ( spl0_121
  <=> c3_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f995,plain,
    ( c3_1(a722)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f996,plain,
    ( spl0_121
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f155,f429,f993]) ).

fof(f998,definition,
    ( spl0_122
  <=> c0_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1001,plain,
    ( ~ spl0_122
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f233,f429,f998]) ).

fof(f1004,definition,
    ( spl0_123
  <=> c2_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1007,plain,
    ( spl0_123
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f232,f625,f1004]) ).

fof(f1009,definition,
    ( spl0_124
  <=> c3_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1011,plain,
    ( c3_1(a717)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1012,plain,
    ( spl0_124
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f159,f625,f1009]) ).

fof(f1014,definition,
    ( spl0_125
  <=> c1_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1017,plain,
    ( spl0_125
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f160,f625,f1014]) ).

fof(f1036,definition,
    ( spl0_129
  <=> c0_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1039,plain,
    ( spl0_129
    | spl0_46 ),
    inference(avatar_split_clause,[],[f229,f593,f1036]) ).

fof(f1041,definition,
    ( spl0_130
  <=> c3_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1043,plain,
    ( c3_1(a710)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1044,plain,
    ( spl0_130
    | spl0_46 ),
    inference(avatar_split_clause,[],[f228,f593,f1041]) ).

fof(f1046,definition,
    ( spl0_131
  <=> c2_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1049,plain,
    ( ~ spl0_131
    | spl0_46 ),
    inference(avatar_split_clause,[],[f227,f593,f1046]) ).

fof(f1052,definition,
    ( spl0_132
  <=> c3_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1054,plain,
    ( ~ c3_1(a708)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f1055,plain,
    ( ~ spl0_132
    | spl0_10 ),
    inference(avatar_split_clause,[],[f225,f434,f1052]) ).

fof(f1057,definition,
    ( spl0_133
  <=> c2_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1060,plain,
    ( ~ spl0_133
    | spl0_10 ),
    inference(avatar_split_clause,[],[f224,f434,f1057]) ).

fof(f1062,definition,
    ( spl0_134
  <=> c1_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1065,plain,
    ( spl0_134
    | spl0_10 ),
    inference(avatar_split_clause,[],[f223,f434,f1062]) ).

fof(f1068,definition,
    ( spl0_135
  <=> c2_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1071,plain,
    ( spl0_135
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f221,f619,f1068]) ).

fof(f1073,definition,
    ( spl0_136
  <=> c3_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1075,plain,
    ( c3_1(a702)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1076,plain,
    ( spl0_136
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f175,f619,f1073]) ).

fof(f1078,definition,
    ( spl0_137
  <=> c0_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1080,plain,
    ( ~ c0_1(a702)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1081,plain,
    ( ~ spl0_137
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f220,f619,f1078]) ).

fof(f1116,definition,
    ( spl0_144
  <=> c3_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1118,plain,
    ( ~ c3_1(a697)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1119,plain,
    ( ~ spl0_144
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f186,f498,f1116]) ).

fof(f1121,definition,
    ( spl0_145
  <=> c2_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1124,plain,
    ( ~ spl0_145
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f213,f498,f1121]) ).

fof(f1148,definition,
    ( spl0_150
  <=> c3_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1150,plain,
    ( ~ c3_1(a693)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1148]) ).

fof(f1151,plain,
    ( ~ spl0_150
    | spl0_4 ),
    inference(avatar_split_clause,[],[f209,f407,f1148]) ).

fof(f1153,definition,
    ( spl0_151
  <=> c1_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1156,plain,
    ( ~ spl0_151
    | spl0_4 ),
    inference(avatar_split_clause,[],[f208,f407,f1153]) ).

fof(f1158,definition,
    ( spl0_152
  <=> c2_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1161,plain,
    ( ~ spl0_152
    | spl0_4 ),
    inference(avatar_split_clause,[],[f207,f407,f1158]) ).

fof(f1162,plain,
    ( spl0_17
    | spl0_4 ),
    inference(avatar_split_clause,[],[f206,f407,f466]) ).

fof(f1164,definition,
    ( spl0_153
  <=> c1_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1166,plain,
    ( ~ c1_1(a692)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1167,plain,
    ( ~ spl0_153
    | spl0_42 ),
    inference(avatar_split_clause,[],[f205,f574,f1164]) ).

fof(f1169,definition,
    ( spl0_154
  <=> c0_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1172,plain,
    ( spl0_154
    | spl0_42 ),
    inference(avatar_split_clause,[],[f204,f574,f1169]) ).

fof(f1174,definition,
    ( spl0_155
  <=> c2_1(a692) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1177,plain,
    ( ~ spl0_155
    | spl0_42 ),
    inference(avatar_split_clause,[],[f203,f574,f1174]) ).

fof(f1179,plain,
    ( c0_1(a713)
    | ~ c1_1(a713)
    | ~ spl0_18
    | ~ spl0_66 ),
    inference(resolution,[],[f471,f702]) ).

fof(f1182,definition,
    ( spl0_156
  <=> c1_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1185,plain,
    ( ~ spl0_156
    | spl0_68
    | ~ spl0_18
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1179,f700,f470,f710,f1182]) ).

fof(f1186,plain,
    ( c0_1(a713)
    | c2_1(a713)
    | ~ spl0_22
    | ~ spl0_66 ),
    inference(resolution,[],[f488,f702]) ).

fof(f1188,plain,
    ( spl0_67
    | spl0_68
    | ~ spl0_22
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1186,f700,f487,f710,f705]) ).

fof(f1189,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_23 ),
    inference(resolution,[],[f491,f471]) ).

fof(f1191,plain,
    ( c2_1(a697)
    | ~ c1_1(a697)
    | ~ spl0_23
    | spl0_144 ),
    inference(resolution,[],[f491,f1118]) ).

fof(f1194,plain,
    ( c2_1(a708)
    | ~ c1_1(a708)
    | ~ spl0_23
    | spl0_132 ),
    inference(resolution,[],[f491,f1054]) ).

fof(f1199,plain,
    ( c2_1(a726)
    | ~ c1_1(a726)
    | ~ spl0_23
    | spl0_114 ),
    inference(resolution,[],[f491,f958]) ).

fof(f1200,plain,
    ( c2_1(a730)
    | ~ c1_1(a730)
    | ~ spl0_23
    | spl0_111 ),
    inference(resolution,[],[f491,f942]) ).

fof(f1211,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f1189]) ).

fof(f1213,definition,
    ( spl0_157
  <=> c1_1(a754) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1218,definition,
    ( spl0_158
  <=> c1_1(a752) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1220,plain,
    ( ~ c1_1(a752)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f1218]) ).

fof(f1223,definition,
    ( spl0_159
  <=> c1_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1228,definition,
    ( spl0_160
  <=> c1_1(a702) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1238,definition,
    ( spl0_162
  <=> c1_1(a697) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1242,plain,
    ( spl0_21
    | ~ spl0_18
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1211,f490,f470,f483]) ).

fof(f1247,plain,
    ( c2_1(a708)
    | c0_1(a708)
    | ~ spl0_24
    | spl0_132 ),
    inference(resolution,[],[f495,f1054]) ).

fof(f1264,definition,
    ( spl0_163
  <=> c2_1(a691) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1281,definition,
    ( spl0_166
  <=> c2_1(a751) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1286,definition,
    ( spl0_167
  <=> c0_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1291,definition,
    ( spl0_168
  <=> c0_1(a738) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1296,definition,
    ( spl0_169
  <=> c0_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1301,definition,
    ( spl0_170
  <=> c2_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1306,definition,
    ( spl0_171
  <=> c2_1(a726) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1311,definition,
    ( spl0_172
  <=> c2_1(a722) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1322,definition,
    ( spl0_174
  <=> c0_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1330,definition,
    ( spl0_175
  <=> c0_1(a693) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1385,plain,
    ( ~ c1_1(a730)
    | ~ c2_1(a730)
    | ~ spl0_36
    | spl0_111 ),
    inference(resolution,[],[f546,f942]) ).

fof(f1405,plain,
    ( c0_1(a730)
    | ~ c2_1(a730)
    | ~ spl0_37
    | spl0_111 ),
    inference(resolution,[],[f551,f942]) ).

fof(f1419,plain,
    ( c1_1(a777)
    | c2_1(a777)
    | ~ spl0_38
    | ~ spl0_77 ),
    inference(resolution,[],[f555,f760]) ).

fof(f1420,plain,
    ( c1_1(a713)
    | c2_1(a713)
    | ~ spl0_38
    | ~ spl0_66 ),
    inference(resolution,[],[f555,f702]) ).

fof(f1423,plain,
    ( spl0_67
    | spl0_156
    | ~ spl0_38
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1420,f700,f554,f1182,f705]) ).

fof(f1425,definition,
    ( spl0_176
  <=> c2_1(a777) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1428,plain,
    ( spl0_176
    | spl0_75
    | ~ spl0_38
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1419,f758,f554,f748,f1425]) ).

fof(f1429,plain,
    ( ~ spl0_116
    | spl0_171
    | ~ spl0_23
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1199,f956,f490,f1306,f966]) ).

fof(f1435,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_37 ),
    inference(resolution,[],[f520,f551]) ).

fof(f1436,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_36 ),
    inference(resolution,[],[f520,f546]) ).

fof(f1442,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_36 ),
    inference(duplicate_literal_removal,[],[f1436]) ).

fof(f1443,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_30
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f1435]) ).

fof(f1451,plain,
    ( spl0_35
    | ~ spl0_30
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f1443,f550,f519,f541]) ).

fof(f1501,definition,
    ( spl0_177
  <=> c0_1(a733) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1507,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_38
    | ~ spl0_40 ),
    inference(resolution,[],[f564,f555]) ).

fof(f1508,plain,
    ( c2_1(a693)
    | c1_1(a693)
    | ~ spl0_40
    | spl0_150 ),
    inference(resolution,[],[f564,f1150]) ).

fof(f1526,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_38
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f1507]) ).

fof(f1531,definition,
    ( spl0_178
  <=> c2_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1535,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_40
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1508,f1148,f563,f1158,f1153]) ).

fof(f1539,plain,
    ( c0_1(a693)
    | c1_1(a693)
    | ~ spl0_41
    | spl0_150 ),
    inference(resolution,[],[f569,f1150]) ).

fof(f1550,plain,
    ( c0_1(a744)
    | c1_1(a744)
    | ~ spl0_41
    | spl0_102 ),
    inference(resolution,[],[f569,f894]) ).

fof(f1561,plain,
    ( spl0_104
    | spl0_167
    | ~ spl0_41
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1550,f892,f568,f1286,f902]) ).

fof(f1569,plain,
    ( c1_1(a710)
    | c2_1(a710)
    | ~ spl0_38
    | ~ spl0_130 ),
    inference(resolution,[],[f1043,f555]) ).

fof(f1574,plain,
    ( ~ c0_1(a777)
    | c2_1(a777)
    | ~ spl0_47
    | ~ spl0_77 ),
    inference(resolution,[],[f598,f760]) ).

fof(f1585,plain,
    ( ~ c0_1(a733)
    | ~ c1_1(a733)
    | ~ spl0_49
    | ~ spl0_63 ),
    inference(resolution,[],[f608,f686]) ).

fof(f1596,plain,
    ( c0_1(a734)
    | ~ c2_1(a734)
    | ~ spl0_44
    | spl0_109 ),
    inference(resolution,[],[f586,f931]) ).

fof(f1598,plain,
    ( c0_1(a752)
    | ~ c2_1(a752)
    | ~ spl0_44
    | spl0_158 ),
    inference(resolution,[],[f586,f1220]) ).

fof(f1601,plain,
    ( c0_1(a763)
    | ~ c2_1(a763)
    | ~ spl0_44
    | spl0_85 ),
    inference(resolution,[],[f586,f803]) ).

fof(f1638,plain,
    ( c0_1(a722)
    | c2_1(a722)
    | ~ spl0_22
    | ~ spl0_121 ),
    inference(resolution,[],[f488,f995]) ).

fof(f1641,plain,
    ( c0_1(a733)
    | c2_1(a733)
    | ~ spl0_22
    | ~ spl0_63 ),
    inference(resolution,[],[f488,f686]) ).

fof(f1643,plain,
    ( ~ c2_1(a722)
    | c0_1(a722)
    | ~ spl0_33
    | ~ spl0_121 ),
    inference(resolution,[],[f534,f995]) ).

fof(f1644,plain,
    ( ~ c2_1(a734)
    | c0_1(a734)
    | ~ spl0_33
    | ~ spl0_110 ),
    inference(resolution,[],[f534,f936]) ).

fof(f1647,plain,
    ( spl0_169
    | ~ spl0_108
    | ~ spl0_33
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1644,f934,f533,f924,f1296]) ).

fof(f1648,plain,
    ( spl0_122
    | ~ spl0_172
    | ~ spl0_33
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1643,f993,f533,f1311,f998]) ).

fof(f1654,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_38
    | ~ spl0_51 ),
    inference(resolution,[],[f616,f555]) ).

fof(f1655,plain,
    ( c2_1(a693)
    | ~ c0_1(a693)
    | ~ spl0_51
    | spl0_150 ),
    inference(resolution,[],[f616,f1150]) ).

fof(f1659,plain,
    ( c2_1(a708)
    | ~ c0_1(a708)
    | ~ spl0_51
    | spl0_132 ),
    inference(resolution,[],[f616,f1054]) ).

fof(f1662,plain,
    ( c2_1(a726)
    | ~ c0_1(a726)
    | ~ spl0_51
    | spl0_114 ),
    inference(resolution,[],[f616,f958]) ).

fof(f1668,plain,
    ( c2_1(a754)
    | ~ c0_1(a754)
    | ~ spl0_51
    | spl0_93 ),
    inference(resolution,[],[f616,f846]) ).

fof(f1673,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_38
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1654]) ).

fof(f1685,plain,
    ( ~ spl0_108
    | spl0_169
    | ~ spl0_44
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1596,f929,f585,f1296,f924]) ).

fof(f1686,plain,
    ( ~ spl0_97
    | spl0_98
    | ~ spl0_44
    | spl0_158 ),
    inference(avatar_split_clause,[],[f1598,f1218,f585,f870,f865]) ).

fof(f1687,plain,
    ( ~ spl0_84
    | spl0_86
    | ~ spl0_44
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1601,f801,f585,f806,f796]) ).

fof(f1690,plain,
    ( c0_1(a691)
    | c2_1(a691)
    | ~ spl0_22
    | ~ spl0_72 ),
    inference(resolution,[],[f734,f488]) ).

fof(f1692,plain,
    ( spl0_163
    | spl0_74
    | ~ spl0_22
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1690,f732,f487,f742,f1264]) ).

fof(f1712,plain,
    ( c2_1(a730)
    | c0_1(a730)
    | ~ spl0_21
    | ~ spl0_112 ),
    inference(resolution,[],[f484,f947]) ).

fof(f1720,plain,
    ( c2_1(a695)
    | c0_1(a695)
    | ~ spl0_21
    | ~ spl0_70 ),
    inference(resolution,[],[f484,f723]) ).

fof(f1723,plain,
    ( spl0_71
    | spl0_69
    | ~ spl0_21
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1720,f721,f483,f716,f726]) ).

fof(f1727,plain,
    ( spl0_113
    | spl0_170
    | ~ spl0_21
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1712,f945,f483,f1301,f950]) ).

fof(f1756,plain,
    ( ~ c0_1(a710)
    | c2_1(a710)
    | ~ spl0_47
    | ~ spl0_130 ),
    inference(resolution,[],[f598,f1043]) ).

fof(f1763,plain,
    ( ~ c0_1(a733)
    | c2_1(a733)
    | ~ spl0_47
    | ~ spl0_63 ),
    inference(resolution,[],[f598,f686]) ).

fof(f1771,plain,
    ( ~ c1_1(a708)
    | ~ c0_1(a708)
    | ~ spl0_54
    | spl0_132 ),
    inference(resolution,[],[f631,f1054]) ).

fof(f1773,plain,
    ( ~ c1_1(a726)
    | ~ c0_1(a726)
    | ~ spl0_54
    | spl0_114 ),
    inference(resolution,[],[f631,f958]) ).

fof(f1779,plain,
    ( ~ c1_1(a754)
    | ~ c0_1(a754)
    | ~ spl0_54
    | spl0_93 ),
    inference(resolution,[],[f631,f846]) ).

fof(f1789,plain,
    ( spl0_131
    | spl0_159
    | ~ spl0_38
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1569,f1041,f554,f1223,f1046]) ).

fof(f1798,plain,
    ( c0_1(a751)
    | ~ c2_1(a751)
    | ~ spl0_44
    | spl0_100 ),
    inference(resolution,[],[f883,f586]) ).

fof(f1804,plain,
    ( c1_1(a738)
    | c2_1(a738)
    | ~ spl0_38
    | ~ spl0_106 ),
    inference(resolution,[],[f915,f555]) ).

fof(f1805,plain,
    ( spl0_107
    | spl0_105
    | ~ spl0_38
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1804,f913,f554,f908,f918]) ).

fof(f1813,plain,
    ( ~ c2_1(a702)
    | ~ c1_1(a702)
    | ~ spl0_30
    | ~ spl0_136 ),
    inference(resolution,[],[f520,f1075]) ).

fof(f1815,plain,
    ( ~ c2_1(a717)
    | ~ c1_1(a717)
    | ~ spl0_30
    | ~ spl0_124 ),
    inference(resolution,[],[f520,f1011]) ).

fof(f1834,plain,
    ( ~ spl0_162
    | spl0_145
    | ~ spl0_23
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1191,f1116,f490,f1121,f1238]) ).

fof(f1837,plain,
    ( ~ spl0_112
    | spl0_170
    | ~ spl0_23
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1200,f940,f490,f1301,f945]) ).

fof(f1843,plain,
    ( ~ spl0_170
    | spl0_113
    | ~ spl0_37
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1405,f940,f550,f950,f1301]) ).

fof(f1874,plain,
    ( c2_1(a692)
    | ~ spl0_38
    | ~ spl0_40
    | spl0_153 ),
    inference(resolution,[],[f1526,f1166]) ).

fof(f1891,plain,
    ( spl0_155
    | ~ spl0_38
    | ~ spl0_40
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1874,f1164,f563,f554,f1174]) ).

fof(f1899,plain,
    ( c2_1(a730)
    | c0_1(a730)
    | ~ spl0_24
    | spl0_111 ),
    inference(resolution,[],[f495,f942]) ).

fof(f1911,plain,
    ( ~ c1_1(a730)
    | c0_1(a730)
    | ~ spl0_29
    | spl0_111 ),
    inference(resolution,[],[f515,f942]) ).

fof(f1917,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_44 ),
    inference(resolution,[],[f542,f586]) ).

fof(f1935,plain,
    ( ~ c2_1(a691)
    | c0_1(a691)
    | ~ spl0_35
    | ~ spl0_73 ),
    inference(resolution,[],[f542,f739]) ).

fof(f1939,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_35
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1917]) ).

fof(f1940,plain,
    ( ~ c2_1(a702)
    | ~ spl0_35
    | ~ spl0_44
    | spl0_137 ),
    inference(resolution,[],[f1939,f1080]) ).

fof(f1959,plain,
    ( c2_1(a697)
    | c1_1(a697)
    | ~ spl0_40
    | spl0_144 ),
    inference(resolution,[],[f564,f1118]) ).

fof(f1966,plain,
    ( c2_1(a754)
    | c1_1(a754)
    | ~ spl0_40
    | spl0_93 ),
    inference(resolution,[],[f564,f846]) ).

fof(f1981,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_41
    | ~ spl0_43 ),
    inference(resolution,[],[f580,f569]) ).

fof(f1988,plain,
    ( c1_1(a702)
    | ~ c2_1(a702)
    | ~ spl0_43
    | ~ spl0_136 ),
    inference(resolution,[],[f580,f1075]) ).

fof(f1992,plain,
    ( c1_1(a734)
    | ~ c2_1(a734)
    | ~ spl0_43
    | ~ spl0_110 ),
    inference(resolution,[],[f580,f936]) ).

fof(f1997,plain,
    ( c1_1(a777)
    | ~ c2_1(a777)
    | ~ spl0_43
    | ~ spl0_77 ),
    inference(resolution,[],[f580,f760]) ).

fof(f2003,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_41
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1981]) ).

fof(f2007,plain,
    ( ~ spl0_108
    | spl0_109
    | ~ spl0_43
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1992,f934,f579,f929,f924]) ).

fof(f2013,plain,
    ( ~ spl0_170
    | ~ spl0_112
    | ~ spl0_36
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1385,f940,f545,f945,f1301]) ).

fof(f2030,plain,
    ( ~ spl0_125
    | ~ spl0_123
    | ~ spl0_30
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1815,f1009,f519,f1004,f1014]) ).

fof(f2031,plain,
    ( ~ spl0_160
    | ~ spl0_135
    | ~ spl0_30
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1813,f1073,f519,f1068,f1228]) ).

fof(f2032,plain,
    ( ~ spl0_135
    | spl0_160
    | ~ spl0_43
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1988,f1073,f579,f1228,f1068]) ).

fof(f2033,plain,
    ( ~ spl0_135
    | ~ spl0_35
    | ~ spl0_44
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1940,f1078,f585,f541,f1068]) ).

fof(f2052,plain,
    ( spl0_157
    | spl0_95
    | ~ spl0_40
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1966,f844,f563,f854,f1213]) ).

fof(f2071,plain,
    ( c0_1(a752)
    | c1_1(a752)
    | ~ spl0_41
    | spl0_96 ),
    inference(resolution,[],[f862,f569]) ).

fof(f2072,plain,
    ( c0_1(a752)
    | ~ c2_1(a752)
    | ~ spl0_37
    | spl0_96 ),
    inference(resolution,[],[f862,f551]) ).

fof(f2073,plain,
    ( c0_1(a751)
    | c1_1(a751)
    | ~ spl0_41
    | spl0_99 ),
    inference(resolution,[],[f878,f569]) ).

fof(f2074,plain,
    ( c0_1(a751)
    | ~ c2_1(a751)
    | ~ spl0_37
    | spl0_99 ),
    inference(resolution,[],[f878,f551]) ).

fof(f2130,plain,
    ( ~ c2_1(a691)
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_73 ),
    inference(resolution,[],[f1442,f739]) ).

fof(f2170,plain,
    ( c0_1(a702)
    | ~ c1_1(a702)
    | ~ spl0_18
    | ~ spl0_136 ),
    inference(resolution,[],[f471,f1075]) ).

fof(f2194,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(resolution,[],[f546,f471]) ).

fof(f2202,plain,
    ( ~ c1_1(a726)
    | ~ c2_1(a726)
    | ~ spl0_36
    | spl0_114 ),
    inference(resolution,[],[f546,f958]) ).

fof(f2207,plain,
    ( ~ c1_1(a752)
    | ~ c2_1(a752)
    | ~ spl0_36
    | spl0_96 ),
    inference(resolution,[],[f546,f862]) ).

fof(f2216,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(duplicate_literal_removal,[],[f2194]) ).

fof(f2224,plain,
    ( c2_1(a725)
    | c1_1(a725)
    | ~ spl0_40
    | spl0_117 ),
    inference(resolution,[],[f564,f974]) ).

fof(f2229,plain,
    ( c2_1(a751)
    | c1_1(a751)
    | ~ spl0_40
    | spl0_99 ),
    inference(resolution,[],[f564,f878]) ).

fof(f2245,plain,
    ( ~ c0_1(a710)
    | ~ c1_1(a710)
    | ~ spl0_49
    | ~ spl0_130 ),
    inference(resolution,[],[f608,f1043]) ).

fof(f2247,plain,
    ( ~ c0_1(a760)
    | ~ c1_1(a760)
    | ~ spl0_49
    | ~ spl0_91 ),
    inference(resolution,[],[f608,f835]) ).

fof(f2264,plain,
    ( spl0_131
    | ~ spl0_129
    | ~ spl0_47
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1756,f1041,f597,f1036,f1046]) ).

fof(f2274,plain,
    ( spl0_74
    | ~ spl0_163
    | ~ spl0_35
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1935,f737,f541,f1264,f742]) ).

fof(f2285,plain,
    ( ~ spl0_176
    | spl0_75
    | ~ spl0_43
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1997,f758,f579,f748,f1425]) ).

fof(f2288,plain,
    ( ~ spl0_163
    | ~ spl0_30
    | ~ spl0_36
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2130,f737,f545,f519,f1264]) ).

fof(f2306,plain,
    ( spl0_44
    | ~ spl0_41
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f2003,f579,f568,f585]) ).

fof(f2321,plain,
    ( ~ spl0_160
    | spl0_137
    | ~ spl0_18
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2170,f1073,f470,f1078,f1228]) ).

fof(f2330,plain,
    ( c0_1(a738)
    | c2_1(a738)
    | ~ spl0_22
    | ~ spl0_106 ),
    inference(resolution,[],[f488,f915]) ).

fof(f2341,plain,
    ( ~ c2_1(a702)
    | c0_1(a702)
    | ~ spl0_33
    | ~ spl0_136 ),
    inference(resolution,[],[f534,f1075]) ).

fof(f2347,plain,
    ( ~ c2_1(a691)
    | c0_1(a691)
    | ~ spl0_33
    | ~ spl0_72 ),
    inference(resolution,[],[f534,f734]) ).

fof(f2348,plain,
    ( spl0_74
    | ~ spl0_163
    | ~ spl0_33
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2347,f732,f533,f1264,f742]) ).

fof(f2350,plain,
    ( spl0_137
    | ~ spl0_135
    | ~ spl0_33
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2341,f1073,f533,f1068,f1078]) ).

fof(f2364,plain,
    ( ~ spl0_171
    | ~ spl0_116
    | ~ spl0_36
    | spl0_114 ),
    inference(avatar_split_clause,[],[f2202,f956,f545,f966,f1306]) ).

fof(f2366,plain,
    ( ~ spl0_97
    | ~ spl0_158
    | ~ spl0_36
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2207,f860,f545,f1218,f865]) ).

fof(f2371,plain,
    ( ~ spl0_166
    | spl0_101
    | ~ spl0_37
    | spl0_99 ),
    inference(avatar_split_clause,[],[f2074,f876,f550,f886,f1281]) ).

fof(f2376,plain,
    ( spl0_100
    | spl0_101
    | ~ spl0_41
    | spl0_99 ),
    inference(avatar_split_clause,[],[f2073,f876,f568,f886,f881]) ).

fof(f2377,plain,
    ( ~ spl0_166
    | spl0_101
    | ~ spl0_44
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1798,f881,f585,f886,f1281]) ).

fof(f2381,plain,
    ( spl0_35
    | ~ spl0_18
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f2216,f545,f470,f541]) ).

fof(f2384,plain,
    ( ~ spl0_115
    | spl0_171
    | ~ spl0_51
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1662,f956,f615,f1306,f961]) ).

fof(f2388,plain,
    ( spl0_64
    | spl0_177
    | ~ spl0_22
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1641,f684,f487,f1501,f689]) ).

fof(f2461,plain,
    ( c1_1(a725)
    | ~ c2_1(a725)
    | ~ spl0_45
    | spl0_117 ),
    inference(resolution,[],[f590,f974]) ).

fof(f2477,plain,
    ( ~ spl0_178
    | spl0_118
    | ~ spl0_45
    | spl0_117 ),
    inference(avatar_split_clause,[],[f2461,f972,f589,f977,f1531]) ).

fof(f2484,plain,
    ( ~ c0_1(a738)
    | c2_1(a738)
    | ~ spl0_47
    | ~ spl0_106 ),
    inference(resolution,[],[f598,f915]) ).

fof(f2488,plain,
    ( ~ c0_1(a733)
    | c2_1(a733)
    | ~ spl0_47
    | ~ spl0_63 ),
    inference(resolution,[],[f598,f686]) ).

fof(f2493,plain,
    ( spl0_174
    | spl0_133
    | ~ spl0_24
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1247,f1052,f494,f1057,f1322]) ).

fof(f2498,plain,
    ( spl0_113
    | spl0_170
    | ~ spl0_24
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1899,f940,f494,f1301,f950]) ).

fof(f2505,plain,
    ( spl0_113
    | ~ spl0_112
    | ~ spl0_29
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1911,f940,f514,f945,f950]) ).

fof(f2513,plain,
    ( ~ spl0_97
    | spl0_98
    | ~ spl0_37
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2072,f860,f550,f870,f865]) ).

fof(f2523,plain,
    ( spl0_151
    | spl0_175
    | ~ spl0_41
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1539,f1148,f568,f1330,f1153]) ).

fof(f2526,plain,
    ( spl0_158
    | spl0_98
    | ~ spl0_41
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2071,f860,f568,f870,f1218]) ).

fof(f2531,plain,
    ( ~ spl0_92
    | ~ spl0_90
    | ~ spl0_49
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f2247,f833,f607,f828,f838]) ).

fof(f2532,plain,
    ( spl0_176
    | ~ spl0_76
    | ~ spl0_47
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1574,f758,f597,f753,f1425]) ).

fof(f2566,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(resolution,[],[f495,f488]) ).

fof(f2585,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(duplicate_literal_removal,[],[f2566]) ).

fof(f2604,plain,
    ( c2_1(a695)
    | ~ spl0_22
    | ~ spl0_24
    | spl0_71 ),
    inference(resolution,[],[f2585,f728]) ).

fof(f2605,plain,
    ( spl0_69
    | ~ spl0_22
    | ~ spl0_24
    | spl0_71 ),
    inference(avatar_split_clause,[],[f2604,f726,f494,f487,f716]) ).

fof(f2615,plain,
    ( ~ c1_1(a733)
    | c2_1(a733)
    | ~ spl0_26
    | ~ spl0_63 ),
    inference(resolution,[],[f503,f686]) ).

fof(f2626,plain,
    ( ~ c1_1(a708)
    | c0_1(a708)
    | ~ spl0_29
    | spl0_132 ),
    inference(resolution,[],[f515,f1054]) ).

fof(f2670,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(resolution,[],[f551,f534]) ).

fof(f2691,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f2670]) ).

fof(f2695,plain,
    ( ~ c2_1(a763)
    | ~ spl0_33
    | ~ spl0_37
    | spl0_86 ),
    inference(resolution,[],[f2691,f808]) ).

fof(f2698,plain,
    ( ~ spl0_84
    | ~ spl0_33
    | ~ spl0_37
    | spl0_86 ),
    inference(avatar_split_clause,[],[f2695,f806,f550,f533,f796]) ).

fof(f2703,plain,
    ( ~ spl0_174
    | ~ spl0_134
    | ~ spl0_54
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1771,f1052,f630,f1062,f1322]) ).

fof(f2704,plain,
    ( ~ spl0_115
    | ~ spl0_116
    | ~ spl0_54
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1773,f956,f630,f966,f961]) ).

fof(f2707,plain,
    ( ~ spl0_94
    | ~ spl0_157
    | ~ spl0_54
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1779,f844,f630,f1213,f849]) ).

fof(f2714,plain,
    ( ~ spl0_175
    | spl0_152
    | ~ spl0_51
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1655,f1148,f615,f1158,f1330]) ).

fof(f2716,plain,
    ( ~ spl0_174
    | spl0_133
    | ~ spl0_51
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1659,f1052,f615,f1057,f1322]) ).

fof(f2720,plain,
    ( ~ spl0_94
    | spl0_95
    | ~ spl0_51
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1668,f844,f615,f854,f849]) ).

fof(f2723,plain,
    ( spl0_172
    | spl0_122
    | ~ spl0_22
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1638,f993,f487,f998,f1311]) ).

fof(f2811,plain,
    ( c2_1(a725)
    | ~ c0_1(a725)
    | ~ spl0_51
    | spl0_117 ),
    inference(resolution,[],[f616,f974]) ).

fof(f2855,plain,
    ( ~ c0_1(a734)
    | ~ c2_1(a734)
    | ~ spl0_55
    | ~ spl0_110 ),
    inference(resolution,[],[f635,f936]) ).

fof(f2864,plain,
    ( ~ spl0_108
    | ~ spl0_169
    | ~ spl0_55
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2855,f934,f634,f1296,f924]) ).

fof(f2879,plain,
    ( ~ c0_1(a761)
    | ~ c2_1(a761)
    | ~ spl0_56
    | ~ spl0_89 ),
    inference(resolution,[],[f641,f824]) ).

fof(f2897,plain,
    ( ~ c0_1(a725)
    | ~ c2_1(a725)
    | ~ spl0_58
    | spl0_117 ),
    inference(resolution,[],[f651,f974]) ).

fof(f2898,plain,
    ( ~ c0_1(a726)
    | ~ c2_1(a726)
    | ~ spl0_58
    | spl0_114 ),
    inference(resolution,[],[f651,f958]) ).

fof(f2901,plain,
    ( ~ c0_1(a744)
    | ~ c2_1(a744)
    | ~ spl0_58
    | spl0_102 ),
    inference(resolution,[],[f651,f894]) ).

fof(f2903,plain,
    ( ~ c0_1(a752)
    | ~ c2_1(a752)
    | ~ spl0_58
    | spl0_96 ),
    inference(resolution,[],[f651,f862]) ).

fof(f2910,plain,
    ( ~ spl0_97
    | ~ spl0_98
    | ~ spl0_58
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2903,f860,f650,f870,f865]) ).

fof(f2911,plain,
    ( ~ spl0_103
    | ~ spl0_167
    | ~ spl0_58
    | spl0_102 ),
    inference(avatar_split_clause,[],[f2901,f892,f650,f1286,f897]) ).

fof(f2912,plain,
    ( ~ spl0_171
    | ~ spl0_115
    | ~ spl0_58
    | spl0_114 ),
    inference(avatar_split_clause,[],[f2898,f956,f650,f961,f1306]) ).

fof(f2913,plain,
    ( ~ spl0_178
    | ~ spl0_119
    | ~ spl0_58
    | spl0_117 ),
    inference(avatar_split_clause,[],[f2897,f972,f650,f982,f1531]) ).

fof(f2940,plain,
    ( c2_1(a692)
    | ~ c0_1(a692)
    | ~ spl0_61
    | spl0_153 ),
    inference(resolution,[],[f672,f1166]) ).

fof(f2947,plain,
    ( c2_1(a725)
    | ~ c0_1(a725)
    | ~ spl0_61
    | spl0_118 ),
    inference(resolution,[],[f672,f979]) ).

fof(f2955,plain,
    ( ~ spl0_154
    | spl0_155
    | ~ spl0_61
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2940,f1164,f671,f1174,f1169]) ).

fof(f2956,plain,
    ( spl0_61
    | ~ spl0_38
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1673,f615,f554,f671]) ).

fof(f2964,plain,
    ( spl0_64
    | ~ spl0_65
    | ~ spl0_26
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2615,f684,f502,f694,f689]) ).

fof(f2965,plain,
    ( ~ spl0_65
    | ~ spl0_177
    | ~ spl0_49
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1585,f684,f607,f1501,f694]) ).

fof(f2967,plain,
    ( ~ spl0_159
    | ~ spl0_129
    | ~ spl0_49
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2245,f1041,f607,f1036,f1223]) ).

fof(f2973,plain,
    ( ~ spl0_119
    | spl0_178
    | ~ spl0_61
    | spl0_118 ),
    inference(avatar_split_clause,[],[f2947,f977,f671,f1531,f982]) ).

fof(f2977,plain,
    ( spl0_107
    | spl0_168
    | ~ spl0_22
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2330,f913,f487,f1291,f918]) ).

fof(f3059,plain,
    ( ~ spl0_134
    | spl0_133
    | ~ spl0_23
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1194,f1052,f490,f1057,f1062]) ).

fof(f3082,plain,
    ( spl0_174
    | ~ spl0_134
    | ~ spl0_29
    | spl0_132 ),
    inference(avatar_split_clause,[],[f2626,f1052,f514,f1062,f1322]) ).

fof(f3093,plain,
    ( spl0_162
    | spl0_145
    | ~ spl0_40
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1959,f1116,f563,f1121,f1238]) ).

fof(f3097,plain,
    ( spl0_118
    | spl0_178
    | ~ spl0_40
    | spl0_117 ),
    inference(avatar_split_clause,[],[f2224,f972,f563,f1531,f977]) ).

fof(f3099,plain,
    ( spl0_100
    | spl0_166
    | ~ spl0_40
    | spl0_99 ),
    inference(avatar_split_clause,[],[f2229,f876,f563,f1281,f881]) ).

fof(f3101,plain,
    ( spl0_64
    | ~ spl0_177
    | ~ spl0_47
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1763,f684,f597,f1501,f689]) ).

fof(f3102,plain,
    ( spl0_107
    | ~ spl0_168
    | ~ spl0_47
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2484,f913,f597,f1291,f918]) ).

fof(f3103,plain,
    ( spl0_64
    | ~ spl0_177
    | ~ spl0_47
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2488,f684,f597,f1501,f689]) ).

fof(f3109,plain,
    ( ~ spl0_119
    | spl0_178
    | ~ spl0_51
    | spl0_117 ),
    inference(avatar_split_clause,[],[f2811,f972,f615,f1531,f982]) ).

fof(f3119,plain,
    ( ~ spl0_87
    | ~ spl0_88
    | ~ spl0_56
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2879,f822,f640,f817,f812]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s2,plain,
    ( spl0_2
    | ~ spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s3,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | ~ spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s6,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s9,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s10,plain,
    ( ~ spl0_7
    | ~ spl0_17
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s12,plain,
    ( spl0_2
    | ~ spl0_17
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s13,plain,
    ( ~ spl0_6
    | ~ spl0_14
    | ~ spl0_17
    | spl0_24 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s15,plain,
    ( ~ spl0_17
    | spl0_27
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s17,plain,
    ( spl0_2
    | ~ spl0_17
    | spl0_28
    | spl0_30 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s18,plain,
    ( ~ spl0_7
    | ~ spl0_17
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s19,plain,
    ( ~ spl0_17
    | spl0_29
    | spl0_30
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s22,plain,
    ( spl0_5
    | ~ spl0_17
    | spl0_22
    | spl0_36 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s25,plain,
    ( ~ spl0_3
    | ~ spl0_10
    | ~ spl0_17
    | spl0_38 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s28,plain,
    ( spl0_13
    | ~ spl0_17
    | spl0_22
    | spl0_40 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s29,plain,
    ( spl0_16
    | ~ spl0_17
    | spl0_37
    | spl0_40 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s30,plain,
    ( ~ spl0_1
    | ~ spl0_17
    | spl0_27
    | spl0_41 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s31,plain,
    ( spl0_5
    | spl0_13
    | ~ spl0_17
    | spl0_41 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s32,plain,
    ( spl0_13
    | ~ spl0_17
    | spl0_25
    | spl0_41 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s33,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_41
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s34,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | spl0_25
    | spl0_43 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s35,plain,
    ( ~ spl0_17
    | spl0_29
    | spl0_38
    | spl0_43 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | ~ spl0_17
    | spl0_41
    | spl0_43 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s38,plain,
    ( ~ spl0_17
    | spl0_25
    | spl0_35
    | spl0_45 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s41,plain,
    ( ~ spl0_17
    | spl0_36
    | spl0_38
    | spl0_47 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s44,plain,
    ( ~ spl0_17
    | spl0_26
    | ~ spl0_46
    | spl0_51 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s45,plain,
    ( ~ spl0_17
    | spl0_36
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s46,plain,
    ( ~ spl0_17
    | spl0_37
    | spl0_44
    | spl0_51 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s47,plain,
    ( ~ spl0_17
    | spl0_49
    | spl0_51
    | spl0_53 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s48,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_51
    | spl0_54 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s50,plain,
    ( ~ spl0_17
    | spl0_40
    | spl0_43
    | spl0_55 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s52,plain,
    ( ~ spl0_17
    | spl0_23
    | spl0_29
    | spl0_56 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s58,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_52
    | spl0_58 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s59,plain,
    ( ~ spl0_17
    | spl0_22
    | spl0_29
    | spl0_58 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s60,plain,
    ( ~ spl0_17
    | spl0_33
    | ~ spl0_42
    | spl0_58 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s61,plain,
    ( ~ spl0_17
    | spl0_52
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s68,plain,
    ( ~ spl0_17
    | spl0_23
    | spl0_41
    | spl0_61 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s69,plain,
    ( spl0_16
    | ~ spl0_17
    | spl0_44
    | spl0_61 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s70,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_56
    | spl0_61 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s73,plain,
    ( ~ spl0_5
    | spl0_63 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s74,plain,
    ( ~ spl0_5
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s75,plain,
    ( ~ spl0_5
    | spl0_65 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s76,plain,
    ( ~ spl0_5
    | spl0_17 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s77,plain,
    ( ~ spl0_11
    | spl0_66 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s78,plain,
    ( ~ spl0_11
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s79,plain,
    ( ~ spl0_11
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s81,plain,
    ( ~ spl0_16
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s82,plain,
    ( ~ spl0_16
    | spl0_70 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s83,plain,
    ( ~ spl0_16
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s85,plain,
    ( ~ spl0_19
    | spl0_72 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s86,plain,
    ( ~ spl0_19
    | spl0_73 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s87,plain,
    ( ~ spl0_19
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s89,plain,
    ( spl0_12
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s90,plain,
    ( spl0_12
    | spl0_76 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s91,plain,
    ( spl0_12
    | spl0_77 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s101,plain,
    ( ~ spl0_8
    | spl0_84 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s102,plain,
    ( ~ spl0_8
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s103,plain,
    ( ~ spl0_8
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s105,plain,
    ( spl0_14
    | spl0_87 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s106,plain,
    ( spl0_14
    | spl0_88 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s107,plain,
    ( spl0_14
    | spl0_89 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s109,plain,
    ( spl0_6
    | spl0_90 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s110,plain,
    ( spl0_6
    | spl0_91 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s111,plain,
    ( spl0_6
    | spl0_92 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s113,plain,
    ( ~ spl0_2
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s114,plain,
    ( ~ spl0_2
    | spl0_94 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s115,plain,
    ( ~ spl0_2
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s116,plain,
    ( ~ spl0_2
    | spl0_17 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s117,plain,
    ( ~ spl0_31
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s118,plain,
    ( ~ spl0_31
    | spl0_97 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s119,plain,
    ( ~ spl0_31
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s121,plain,
    ( spl0_7
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s122,plain,
    ( spl0_7
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s123,plain,
    ( spl0_7
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s125,plain,
    ( spl0_32
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s126,plain,
    ( spl0_32
    | spl0_103 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s127,plain,
    ( spl0_32
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s129,plain,
    ( ~ spl0_28
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s130,plain,
    ( ~ spl0_28
    | spl0_106 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s131,plain,
    ( ~ spl0_28
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s133,plain,
    ( ~ spl0_27
    | spl0_108 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s134,plain,
    ( ~ spl0_27
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s135,plain,
    ( ~ spl0_27
    | spl0_110 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s137,plain,
    ( ~ spl0_13
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s138,plain,
    ( ~ spl0_13
    | spl0_112 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s139,plain,
    ( ~ spl0_13
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s141,plain,
    ( spl0_3
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s142,plain,
    ( spl0_3
    | spl0_115 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s143,plain,
    ( spl0_3
    | spl0_116 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s145,plain,
    ( spl0_1
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s146,plain,
    ( spl0_1
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s147,plain,
    ( spl0_1
    | spl0_119 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s148,plain,
    ( spl0_1
    | spl0_17 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s150,plain,
    ( ~ spl0_9
    | spl0_121 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s151,plain,
    ( ~ spl0_9
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s153,plain,
    ( ~ spl0_53
    | spl0_123 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s154,plain,
    ( ~ spl0_53
    | spl0_124 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s155,plain,
    ( ~ spl0_53
    | spl0_125 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s161,plain,
    ( spl0_46
    | spl0_129 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s162,plain,
    ( spl0_46
    | spl0_130 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s163,plain,
    ( spl0_46
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s165,plain,
    ( spl0_10
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s166,plain,
    ( spl0_10
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s167,plain,
    ( spl0_10
    | spl0_134 ),
    inference(sat_conversion,[],[f1065]) ).

cnf(s169,plain,
    ( ~ spl0_52
    | spl0_135 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s170,plain,
    ( ~ spl0_52
    | spl0_136 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s171,plain,
    ( ~ spl0_52
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s181,plain,
    ( ~ spl0_25
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s182,plain,
    ( ~ spl0_25
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s189,plain,
    ( spl0_4
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s190,plain,
    ( spl0_4
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s191,plain,
    ( spl0_4
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s192,plain,
    ( spl0_4
    | spl0_17 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s193,plain,
    ( spl0_42
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s194,plain,
    ( spl0_42
    | spl0_154 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s195,plain,
    ( spl0_42
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1177]) ).

cnf(s197,plain,
    ( ~ spl0_18
    | ~ spl0_66
    | spl0_68
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1185]) ).

cnf(s198,plain,
    ( ~ spl0_22
    | ~ spl0_66
    | spl0_67
    | spl0_68 ),
    inference(sat_conversion,[],[f1188]) ).

cnf(s205,plain,
    ( ~ spl0_18
    | spl0_21
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1242]) ).

cnf(s228,plain,
    ( ~ spl0_38
    | ~ spl0_66
    | spl0_67
    | spl0_156 ),
    inference(sat_conversion,[],[f1423]) ).

cnf(s229,plain,
    ( ~ spl0_38
    | spl0_75
    | ~ spl0_77
    | spl0_176 ),
    inference(sat_conversion,[],[f1428]) ).

cnf(s230,plain,
    ( ~ spl0_23
    | spl0_114
    | ~ spl0_116
    | spl0_171 ),
    inference(sat_conversion,[],[f1429]) ).

cnf(s235,plain,
    ( ~ spl0_30
    | spl0_35
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s259,plain,
    ( ~ spl0_40
    | spl0_150
    | spl0_151
    | spl0_152 ),
    inference(sat_conversion,[],[f1535]) ).

cnf(s262,plain,
    ( ~ spl0_41
    | spl0_102
    | spl0_104
    | spl0_167 ),
    inference(sat_conversion,[],[f1561]) ).

cnf(s288,plain,
    ( ~ spl0_33
    | ~ spl0_108
    | ~ spl0_110
    | spl0_169 ),
    inference(sat_conversion,[],[f1647]) ).

cnf(s289,plain,
    ( ~ spl0_33
    | ~ spl0_121
    | spl0_122
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1648]) ).

cnf(s302,plain,
    ( ~ spl0_44
    | ~ spl0_108
    | spl0_109
    | spl0_169 ),
    inference(sat_conversion,[],[f1685]) ).

cnf(s303,plain,
    ( ~ spl0_44
    | ~ spl0_97
    | spl0_98
    | spl0_158 ),
    inference(sat_conversion,[],[f1686]) ).

cnf(s304,plain,
    ( ~ spl0_44
    | ~ spl0_84
    | spl0_85
    | spl0_86 ),
    inference(sat_conversion,[],[f1687]) ).

cnf(s307,plain,
    ( ~ spl0_22
    | ~ spl0_72
    | spl0_74
    | spl0_163 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s308,plain,
    ( ~ spl0_21
    | spl0_69
    | ~ spl0_70
    | spl0_71 ),
    inference(sat_conversion,[],[f1723]) ).

cnf(s312,plain,
    ( ~ spl0_21
    | ~ spl0_112
    | spl0_113
    | spl0_170 ),
    inference(sat_conversion,[],[f1727]) ).

cnf(s321,plain,
    ( ~ spl0_38
    | ~ spl0_130
    | spl0_131
    | spl0_159 ),
    inference(sat_conversion,[],[f1789]) ).

cnf(s327,plain,
    ( ~ spl0_38
    | spl0_105
    | ~ spl0_106
    | spl0_107 ),
    inference(sat_conversion,[],[f1805]) ).

cnf(s339,plain,
    ( ~ spl0_23
    | spl0_144
    | spl0_145
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1834]) ).

cnf(s342,plain,
    ( ~ spl0_23
    | spl0_111
    | ~ spl0_112
    | spl0_170 ),
    inference(sat_conversion,[],[f1837]) ).

cnf(s348,plain,
    ( ~ spl0_37
    | spl0_111
    | spl0_113
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1843]) ).

cnf(s355,plain,
    ( ~ spl0_38
    | ~ spl0_40
    | spl0_153
    | spl0_155 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s359,plain,
    ( ~ spl0_43
    | ~ spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2007]) ).

cnf(s365,plain,
    ( ~ spl0_36
    | spl0_111
    | ~ spl0_112
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2013]) ).

cnf(s382,plain,
    ( ~ spl0_30
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2030]) ).

cnf(s383,plain,
    ( ~ spl0_30
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2031]) ).

cnf(s384,plain,
    ( ~ spl0_43
    | ~ spl0_135
    | ~ spl0_136
    | spl0_160 ),
    inference(sat_conversion,[],[f2032]) ).

cnf(s385,plain,
    ( ~ spl0_35
    | ~ spl0_44
    | ~ spl0_135
    | spl0_137 ),
    inference(sat_conversion,[],[f2033]) ).

cnf(s405,plain,
    ( ~ spl0_40
    | spl0_93
    | spl0_95
    | spl0_157 ),
    inference(sat_conversion,[],[f2052]) ).

cnf(s444,plain,
    ( ~ spl0_47
    | ~ spl0_129
    | ~ spl0_130
    | spl0_131 ),
    inference(sat_conversion,[],[f2264]) ).

cnf(s454,plain,
    ( ~ spl0_35
    | ~ spl0_73
    | spl0_74
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2274]) ).

cnf(s465,plain,
    ( ~ spl0_43
    | spl0_75
    | ~ spl0_77
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2285]) ).

cnf(s469,plain,
    ( ~ spl0_30
    | ~ spl0_36
    | ~ spl0_73
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2288]) ).

cnf(s487,plain,
    ( ~ spl0_41
    | ~ spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f2306]) ).

cnf(s502,plain,
    ( ~ spl0_18
    | ~ spl0_136
    | spl0_137
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2321]) ).

cnf(s505,plain,
    ( ~ spl0_33
    | ~ spl0_72
    | spl0_74
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2348]) ).

cnf(s507,plain,
    ( ~ spl0_33
    | ~ spl0_135
    | ~ spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f2350]) ).

cnf(s521,plain,
    ( ~ spl0_36
    | spl0_114
    | ~ spl0_116
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2364]) ).

cnf(s523,plain,
    ( ~ spl0_36
    | spl0_96
    | ~ spl0_97
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2366]) ).

cnf(s528,plain,
    ( ~ spl0_37
    | spl0_99
    | spl0_101
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2371]) ).

cnf(s533,plain,
    ( ~ spl0_41
    | spl0_99
    | spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f2376]) ).

cnf(s534,plain,
    ( ~ spl0_44
    | spl0_100
    | spl0_101
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2377]) ).

cnf(s538,plain,
    ( ~ spl0_18
    | spl0_35
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f2381]) ).

cnf(s541,plain,
    ( ~ spl0_51
    | spl0_114
    | ~ spl0_115
    | spl0_171 ),
    inference(sat_conversion,[],[f2384]) ).

cnf(s545,plain,
    ( ~ spl0_22
    | ~ spl0_63
    | spl0_64
    | spl0_177 ),
    inference(sat_conversion,[],[f2388]) ).

cnf(s555,plain,
    ( ~ spl0_45
    | spl0_117
    | spl0_118
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2477]) ).

cnf(s563,plain,
    ( ~ spl0_24
    | spl0_132
    | spl0_133
    | spl0_174 ),
    inference(sat_conversion,[],[f2493]) ).

cnf(s568,plain,
    ( ~ spl0_24
    | spl0_111
    | spl0_113
    | spl0_170 ),
    inference(sat_conversion,[],[f2498]) ).

cnf(s575,plain,
    ( ~ spl0_29
    | spl0_111
    | ~ spl0_112
    | spl0_113 ),
    inference(sat_conversion,[],[f2505]) ).

cnf(s585,plain,
    ( ~ spl0_37
    | spl0_96
    | ~ spl0_97
    | spl0_98 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s595,plain,
    ( ~ spl0_41
    | spl0_150
    | spl0_151
    | spl0_175 ),
    inference(sat_conversion,[],[f2523]) ).

cnf(s598,plain,
    ( ~ spl0_41
    | spl0_96
    | spl0_98
    | spl0_158 ),
    inference(sat_conversion,[],[f2526]) ).

cnf(s603,plain,
    ( ~ spl0_49
    | ~ spl0_90
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f2531]) ).

cnf(s604,plain,
    ( ~ spl0_47
    | ~ spl0_76
    | ~ spl0_77
    | spl0_176 ),
    inference(sat_conversion,[],[f2532]) ).

cnf(s620,plain,
    ( ~ spl0_22
    | ~ spl0_24
    | spl0_69
    | spl0_71 ),
    inference(sat_conversion,[],[f2605]) ).

cnf(s626,plain,
    ( ~ spl0_33
    | ~ spl0_37
    | ~ spl0_84
    | spl0_86 ),
    inference(sat_conversion,[],[f2698]) ).

cnf(s631,plain,
    ( ~ spl0_54
    | spl0_132
    | ~ spl0_134
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2703]) ).

cnf(s632,plain,
    ( ~ spl0_54
    | spl0_114
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2704]) ).

cnf(s635,plain,
    ( ~ spl0_54
    | spl0_93
    | ~ spl0_94
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2707]) ).

cnf(s642,plain,
    ( ~ spl0_51
    | spl0_150
    | spl0_152
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2714]) ).

cnf(s644,plain,
    ( ~ spl0_51
    | spl0_132
    | spl0_133
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2716]) ).

cnf(s648,plain,
    ( ~ spl0_51
    | spl0_93
    | ~ spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f2720]) ).

cnf(s652,plain,
    ( ~ spl0_22
    | ~ spl0_121
    | spl0_122
    | spl0_172 ),
    inference(sat_conversion,[],[f2723]) ).

cnf(s660,plain,
    ( ~ spl0_55
    | ~ spl0_108
    | ~ spl0_110
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2864]) ).

cnf(s662,plain,
    ( ~ spl0_58
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f2910]) ).

cnf(s663,plain,
    ( ~ spl0_58
    | spl0_102
    | ~ spl0_103
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2911]) ).

cnf(s664,plain,
    ( ~ spl0_58
    | spl0_114
    | ~ spl0_115
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2912]) ).

cnf(s665,plain,
    ( ~ spl0_58
    | spl0_117
    | ~ spl0_119
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2913]) ).

cnf(s669,plain,
    ( ~ spl0_61
    | spl0_153
    | ~ spl0_154
    | spl0_155 ),
    inference(sat_conversion,[],[f2955]) ).

cnf(s670,plain,
    ( ~ spl0_38
    | ~ spl0_51
    | spl0_61 ),
    inference(sat_conversion,[],[f2956]) ).

cnf(s680,plain,
    ( ~ spl0_26
    | ~ spl0_63
    | spl0_64
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f2964]) ).

cnf(s681,plain,
    ( ~ spl0_49
    | ~ spl0_63
    | ~ spl0_65
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2965]) ).

cnf(s683,plain,
    ( ~ spl0_49
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2967]) ).

cnf(s689,plain,
    ( ~ spl0_61
    | spl0_118
    | ~ spl0_119
    | spl0_178 ),
    inference(sat_conversion,[],[f2973]) ).

cnf(s693,plain,
    ( ~ spl0_22
    | ~ spl0_106
    | spl0_107
    | spl0_168 ),
    inference(sat_conversion,[],[f2977]) ).

cnf(s717,plain,
    ( ~ spl0_23
    | spl0_132
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f3059]) ).

cnf(s740,plain,
    ( ~ spl0_29
    | spl0_132
    | ~ spl0_134
    | spl0_174 ),
    inference(sat_conversion,[],[f3082]) ).

cnf(s751,plain,
    ( ~ spl0_40
    | spl0_144
    | spl0_145
    | spl0_162 ),
    inference(sat_conversion,[],[f3093]) ).

cnf(s755,plain,
    ( ~ spl0_40
    | spl0_117
    | spl0_118
    | spl0_178 ),
    inference(sat_conversion,[],[f3097]) ).

cnf(s757,plain,
    ( ~ spl0_40
    | spl0_99
    | spl0_100
    | spl0_166 ),
    inference(sat_conversion,[],[f3099]) ).

cnf(s759,plain,
    ( ~ spl0_47
    | ~ spl0_63
    | spl0_64
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f3101]) ).

cnf(s760,plain,
    ( ~ spl0_47
    | ~ spl0_106
    | spl0_107
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f3102]) ).

cnf(s761,plain,
    ( ~ spl0_47
    | ~ spl0_63
    | spl0_64
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f3103]) ).

cnf(s767,plain,
    ( ~ spl0_51
    | spl0_117
    | ~ spl0_119
    | spl0_178 ),
    inference(sat_conversion,[],[f3109]) ).

cnf(s777,plain,
    ( ~ spl0_56
    | ~ spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f3119]) ).

cnf(s778,plain,
    ( ~ spl0_61
    | spl0_41
    | spl0_54
    | spl0_1 ),
    inference(rat,[],[s669,s193,s194,s195,s33,s507,s169,s170,s171,s61,s665,s689,s148,s147,s146,s145]) ).

cnf(s779,plain,
    ( spl0_41
    | ~ spl0_18
    | spl0_5
    | spl0_40
    | spl0_54
    | spl0_1 ),
    inference(rat,[],[s308,s81,s82,s83,s29,s348,s205,s342,s68,s778,s137,s138,s139,s31,s148]) ).

cnf(s780,plain,
    ( spl0_7
    | ~ spl0_41 ),
    inference(rat,[],[s533,s121,s122,s123]) ).

cnf(s781,plain,
    ( spl0_30
    | ~ spl0_41
    | spl0_5
    | spl0_2
    | ~ spl0_17 ),
    inference(rat,[],[s760,s693,s41,s22,s523,s598,s117,s118,s119,s18,s327,s129,s130,s131,s17,s780]) ).

cnf(s782,plain,
    ( ~ spl0_52
    | ~ spl0_33 ),
    inference(rat,[],[s507,s169,s170,s171]) ).

cnf(s783,plain,
    ( ~ spl0_53
    | ~ spl0_30 ),
    inference(rat,[],[s382,s153,s154,s155]) ).

cnf(s784,plain,
    ( ~ spl0_97
    | spl0_96
    | ~ spl0_58
    | ~ spl0_36
    | ~ spl0_41 ),
    inference(rat,[],[s598,s662,s523]) ).

cnf(s785,plain,
    ( ~ spl0_13
    | ~ spl0_29 ),
    inference(rat,[],[s575,s137,s138,s139]) ).

cnf(s786,plain,
    ( ~ spl0_9
    | ~ spl0_22
    | ~ spl0_33 ),
    inference(rat,[],[s289,s652,s150,s151]) ).

cnf(s788,plain,
    ( spl0_6
    | ~ spl0_49 ),
    inference(rat,[],[s603,s109,s110,s111]) ).

cnf(s789,plain,
    ( spl0_5
    | spl0_4
    | spl0_54
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s46,s626,s304,s101,s102,s103,s3,s788,s47,s783,s781,s780,s48,s642,s595,s779,s9,s148,s259,s189,s190,s191]) ).

cnf(s790,plain,
    ( spl0_51
    | ~ spl0_5
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s523,s598,s117,s118,s119,s18,s783,s47,s681,s780,s545,s68,s12,s689,s230,s665,s521,s61,s45,s782,s48,s148,s147,s146,s145,s632,s141,s142,s143,s75,s74,s73]) ).

cnf(s791,plain,
    ( spl0_4
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s785,s28,s59,s545,s759,s41,s670,s778,s521,s595,s665,s541,s642,s767,s790,s73,s74,s789,s259,s189,s190,s191,s148,s147,s145,s632,s141,s142,s143]) ).

cnf(s793,plain,
    ( ~ spl0_25
    | ~ spl0_40
    | ~ spl0_23 ),
    inference(rat,[],[s339,s751,s181,s182]) ).

cnf(s794,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s385,s487,s38,s32,s34,s793,s28,s785,s12,s59,s545,s759,s41,s670,s669,s193,s194,s195,s60,s782,s169,s171,s61,s521,s555,s665,s541,s767,s790,s73,s74,s2,s791,s632,s141,s142,s143,s148,s147,s146,s145]) ).

cnf(s796,plain,
    ( ~ spl0_51
    | spl0_54
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s41,s523,s761,s598,s545,s117,s118,s119,s73,s74,s18,s9,s383,s502,s384,s35,s780,s740,s68,s12,s644,s717,s165,s166,s167,s25,s670,s669,s193,s194,s195,s60,s782,s169,s170,s171,s61,s665,s767,s148,s147,s145,s794]) ).

cnf(s797,plain,
    ( ~ spl0_8
    | ~ spl0_33
    | spl0_51
    | ~ spl0_17 ),
    inference(rat,[],[s46,s626,s304,s101,s102,s103]) ).

cnf(s798,plain,
    ( spl0_54
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s342,s365,s137,s138,s28,s12,s786,s4,s797,s755,s665,s61,s45,s782,s48,s796,s148,s147,s146,s145,s794]) ).

cnf(s799,plain,
    ( ~ spl0_33
    | ~ spl0_22
    | spl0_51
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(rat,[],[s4,s786,s797]) ).

cnf(s800,plain,
    ( spl0_14
    | ~ spl0_56 ),
    inference(rat,[],[s777,s105,s106,s107]) ).

cnf(s802,plain,
    ( spl0_41
    | spl0_23
    | spl0_33
    | ~ spl0_17 ),
    inference(rat,[],[s669,s193,s194,s195,s68,s33]) ).

cnf(s804,plain,
    ( spl0_5
    | spl0_37
    | ~ spl0_23
    | spl0_2
    | ~ spl0_17 ),
    inference(rat,[],[s308,s81,s82,s83,s29,s259,s205,s189,s190,s191,s9,s2]) ).

cnf(s806,plain,
    ( ~ spl0_19
    | ~ spl0_35
    | ~ spl0_22 ),
    inference(rat,[],[s307,s454,s85,s86,s87]) ).

cnf(s807,plain,
    ( spl0_61
    | spl0_19
    | spl0_44
    | ~ spl0_6
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(rat,[],[s13,s620,s800,s81,s83,s70,s69]) ).

cnf(s809,plain,
    ( ~ spl0_30
    | spl0_61
    | ~ spl0_7
    | ~ spl0_22
    | spl0_51
    | ~ spl0_17 ),
    inference(rat,[],[s806,s235,s807,s46,s304,s101,s102,s103,s3,s788,s47,s783]) ).

cnf(s811,plain,
    ( spl0_5
    | ~ spl0_23
    | spl0_41
    | spl0_2
    | ~ spl0_17 ),
    inference(rat,[],[s312,s348,s137,s138,s139,s205,s31,s804,s9]) ).

cnf(s812,plain,
    ( spl0_41
    | ~ spl0_22
    | spl0_51
    | ~ spl0_3
    | spl0_2
    | ~ spl0_17 ),
    inference(rat,[],[s717,s165,s166,s167,s25,s327,s129,s130,s131,s17,s783,s47,s681,s545,s73,s74,s75,s811,s802,s799]) ).

cnf(s813,plain,
    ( ~ spl0_61
    | spl0_33
    | spl0_1 ),
    inference(rat,[],[s669,s193,s194,s195,s60,s665,s689,s148,s147,s146,s145]) ).

cnf(s814,plain,
    ( ~ spl0_22
    | spl0_51
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s523,s41,s760,s598,s327,s693,s117,s118,s119,s129,s130,s131,s18,s17,s809,s813,s780,s812,s799,s148,s794]) ).

cnf(s815,plain,
    ( spl0_10
    | ~ spl0_23 ),
    inference(rat,[],[s717,s165,s166,s167]) ).

cnf(s816,plain,
    ( spl0_51
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s327,s129,s130,s131,s17,s783,s47,s683,s321,s161,s162,s163,s44,s680,s73,s74,s75,s9,s197,s228,s77,s78,s79,s25,s5,s815,s12,s814,s148,s794]) ).

cnf(s817,plain,
    ( ~ spl0_33
    | ~ spl0_22
    | spl0_58
    | ~ spl0_17 ),
    inference(rat,[],[s307,s505,s85,s87,s58,s782]) ).

cnf(s818,plain,
    ( spl0_4
    | ~ spl0_41
    | ~ spl0_51 ),
    inference(rat,[],[s595,s642,s189,s190,s191]) ).

cnf(s819,plain,
    ( ~ spl0_35
    | ~ spl0_44
    | ~ spl0_22
    | spl0_58
    | ~ spl0_17 ),
    inference(rat,[],[s385,s169,s171,s58,s806]) ).

cnf(s820,plain,
    ( ~ spl0_22
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s523,s598,s117,s118,s119,s18,s469,s307,s85,s86,s87,s10,s538,s819,s41,s761,s545,s73,s74,s2,s818,s487,s35,s780,s740,s802,s631,s815,s165,s167,s25,s670,s813,s817,s148,s794,s798,s665,s767,s816,s147,s145]) ).

cnf(s821,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s34,s465,s818,s229,s32,s89,s91,s793,s6,s28,s25,s785,s815,s59,s12,s820,s665,s767,s816,s794,s148,s147,s145]) ).

cnf(s822,plain,
    ( ~ spl0_33
    | ~ spl0_22
    | spl0_1 ),
    inference(rat,[],[s523,s598,s117,s118,s119,s18,s809,s780,s68,s230,s689,s664,s665,s141,s142,s143,s45,s817,s799,s782,s148,s147,s146,s145,s648,s113,s114,s115,s821]) ).

cnf(s823,plain,
    ( spl0_3
    | ~ spl0_54 ),
    inference(rat,[],[s632,s141,s142,s143]) ).

cnf(s825,plain,
    ( ~ spl0_27
    | ~ spl0_43 ),
    inference(rat,[],[s359,s133,s134,s135]) ).

cnf(s826,plain,
    ( spl0_38
    | spl0_29
    | spl0_36
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(rat,[],[s760,s693,s130,s131,s15,s825,s35,s41]) ).

cnf(s827,plain,
    ( ~ spl0_27
    | ~ spl0_44
    | spl0_40
    | ~ spl0_17 ),
    inference(rat,[],[s660,s50,s302,s825,s133,s134,s135]) ).

cnf(s828,plain,
    ( spl0_29
    | spl0_27
    | spl0_36
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(rat,[],[s327,s129,s130,s131,s15,s826]) ).

cnf(s830,plain,
    ( spl0_10
    | ~ spl0_29
    | ~ spl0_54 ),
    inference(rat,[],[s631,s740,s165,s167]) ).

cnf(s831,plain,
    ( ~ spl0_11
    | ~ spl0_22 ),
    inference(rat,[],[s198,s77,s78,s79]) ).

cnf(s832,plain,
    ( ~ spl0_22
    | spl0_1 ),
    inference(rat,[],[s827,s828,s46,s523,s585,s598,s117,s118,s119,s18,s809,s780,s802,s830,s815,s5,s831,s823,s405,s635,s813,s48,s822,s148,s648,s113,s114,s115,s821]) ).

cnf(s833,plain,
    ( ~ spl0_97
    | spl0_96
    | ~ spl0_41
    | spl0_40
    | spl0_1 ),
    inference(rat,[],[s444,s41,s161,s162,s163,s327,s44,s129,s130,s131,s680,s15,s73,s74,s75,s827,s22,s46,s784,s585,s662,s648,s113,s114,s115,s821,s59,s785,s28,s148,s832]) ).

cnf(s835,plain,
    ( ~ spl0_31
    | ~ spl0_41
    | spl0_40
    | spl0_1 ),
    inference(rat,[],[s833,s117,s118]) ).

cnf(s836,plain,
    ( ~ spl0_41
    | spl0_40
    | spl0_1 ),
    inference(rat,[],[s800,s52,s13,s342,s568,s348,s46,s304,s101,s102,s103,s3,s788,s47,s783,s18,s835,s780,s648,s113,s114,s115,s821,s139,s138,s137,s785,s28,s148,s832]) ).

cnf(s837,plain,
    ( ~ spl0_54
    | spl0_1 ),
    inference(rat,[],[s815,s25,s68,s327,s129,s130,s131,s15,s825,s36,s836,s689,s665,s59,s785,s28,s405,s823,s635,s148,s147,s146,s145,s115,s114,s113,s821,s832]) ).

cnf(s838,plain,
    spl0_1,
    inference(rat,[],[s342,s365,s68,s137,s138,s836,s28,s755,s689,s665,s61,s45,s782,s48,s837,s832,s648,s113,s114,s115,s821,s145,s146,s147,s148]) ).

cnf(s839,plain,
    ( ~ spl0_54
    | spl0_51
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(rat,[],[s827,s828,s46,s523,s585,s598,s117,s118,s119,s18,s783,s47,s788,s13,s800,s780,s563,s405,s52,s802,s631,s635,s830,s815,s165,s166,s167,s113,s114,s115,s5,s799,s1,s823,s831,s838]) ).

cnf(s840,plain,
    ( ~ spl0_41
    | ~ spl0_36
    | spl0_8
    | spl0_51
    | ~ spl0_17 ),
    inference(rat,[],[s523,s598,s117,s118,s119,s18,s783,s47,s788,s3,s780]) ).

cnf(s841,plain,
    ( ~ spl0_97
    | spl0_96
    | ~ spl0_36
    | ~ spl0_58
    | spl0_51
    | ~ spl0_17 ),
    inference(rat,[],[s46,s303,s585,s523,s662]) ).

cnf(s842,plain,
    ( spl0_7
    | ~ spl0_44
    | ~ spl0_40 ),
    inference(rat,[],[s757,s534,s121,s122,s123]) ).

cnf(s843,plain,
    ( ~ spl0_7
    | spl0_31
    | spl0_8
    | spl0_51
    | ~ spl0_17 ),
    inference(rat,[],[s47,s783,s788,s18,s3]) ).

cnf(s844,plain,
    ( spl0_7
    | ~ spl0_40
    | spl0_51
    | ~ spl0_17 ),
    inference(rat,[],[s528,s46,s757,s842,s121,s122,s123]) ).

cnf(s845,plain,
    ( spl0_51
    | ~ spl0_22
    | ~ spl0_17 ),
    inference(rat,[],[s841,s117,s118,s843,s844,s50,s660,s288,s825,s133,s135,s30,s840,s45,s817,s797,s782,s48,s839,s838]) ).

cnf(s846,plain,
    ( ~ spl0_2
    | ~ spl0_51 ),
    inference(rat,[],[s648,s113,s114,s115]) ).

cnf(s847,plain,
    ( ~ spl0_5
    | ~ spl0_47
    | ~ spl0_22 ),
    inference(rat,[],[s759,s545,s73,s74]) ).

cnf(s848,plain,
    ( ~ spl0_22
    | ~ spl0_17 ),
    inference(rat,[],[s818,s31,s2,s847,s785,s41,s826,s670,s669,s193,s194,s195,s60,s817,s521,s664,s541,s141,s142,s143,s1,s846,s845,s838]) ).

cnf(s849,plain,
    ( spl0_32
    | ~ spl0_58
    | ~ spl0_41 ),
    inference(rat,[],[s663,s262,s125,s126,s127]) ).

cnf(s850,plain,
    ( ~ spl0_13
    | ~ spl0_41
    | spl0_51
    | ~ spl0_17 ),
    inference(rat,[],[s800,s52,s13,s342,s568,s348,s46,s304,s101,s102,s103,s3,s788,s47,s783,s19,s849,s59,s785,s137,s138,s139,s848,s780]) ).

cnf(s851,plain,
    ( ~ spl0_54
    | ~ spl0_40 ),
    inference(rat,[],[s405,s635,s113,s114,s115,s1,s823,s838]) ).

cnf(s852,plain,
    ( ~ spl0_41
    | spl0_51
    | ~ spl0_17 ),
    inference(rat,[],[s840,s45,s797,s782,s48,s851,s28,s850,s848]) ).

cnf(s853,plain,
    ( spl0_51
    | ~ spl0_17 ),
    inference(rat,[],[s841,s117,s118,s843,s844,s50,s660,s61,s45,s288,s797,s782,s48,s823,s36,s825,s133,s135,s30,s852,s838]) ).

cnf(s854,plain,
    ~ spl0_17,
    inference(rat,[],[s465,s34,s604,s818,s41,s32,s355,s89,s90,s91,s793,s193,s195,s6,s28,s60,s785,s782,s59,s61,s521,s664,s230,s815,s823,s141,s142,s143,s12,s1,s846,s853,s848,s838]) ).

cnf(s856,plain,
    spl0_4,
    inference(rat,[],[s192,s854]) ).

cnf(s874,plain,
    ~ spl0_2,
    inference(rat,[],[s116,s854]) ).

cnf(s884,plain,
    ~ spl0_5,
    inference(rat,[],[s76,s854]) ).

cnf(s885,plain,
    $false,
    inference(rat,[],[s2,s874,s884,s856]) ).

fof(f3120,plain,
    $false,
    inference(avatar_sat_refutation,[],[s885]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN472+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n005.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:10:39 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.31  % (905239)Will run a generic schedule for satisfiability detection.
% 0.19/0.31  % (905244)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=183949206_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.31  % (905245)% WARNING: option uhcvi not known.
% 0.19/0.31  % Detected minimum model sizes of [1]
% 0.19/0.31  % Detected maximum model sizes of [31]
% 0.19/0.31  % TRYING [1]
% 0.19/0.31  % TRYING [2]
% 0.19/0.31  % TRYING [3]
% 0.19/0.31  % (905245)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1952371763:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.31  % (905246)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2904078822:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.31  % (905247)dis+10_1_sil=32000:sp=arity:random_seed=1604539556:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.31  % (905248)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1327775125:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.31  % (905250)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2749815980:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.31  % (905249)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1375557781:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.31  % TRYING [4]
% 0.19/0.31  % TRYING [5]
% 0.19/0.31  % (905250) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-905239-905250"...
% 0.19/0.31  % (905250)...printing done.
% 0.19/0.31  % (905250)Refutation found. Thanks to Tanya!
% 0.19/0.31  % SZS status Theorem for theBenchmark
% 0.19/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.32  % (905250)------------------------------
% 0.19/0.32  % (905250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32  % (905250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32  % (905250)CaDiCaL version: 2.1.3
% 0.19/0.32  % (905250)Termination reason: Refutation
% 0.19/0.32  % (905250)Time elapsed: 0.047 s
% 0.19/0.32  % (905250)Peak memory usage: 14 MB
% 0.19/0.32  % (905250)Instructions burned: 79 (million)
% 0.19/0.32  % (905239)Success in time 0.086 s
% 0.19/0.32  % Vampire exiting
%------------------------------------------------------------------------------