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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN451+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:50 PM UTC 2026

% Result   : Theorem 0.20s 0.27s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :  113
% Syntax   : Number of formulae    :  747 (   6 unt; 112 def)
%            Number of atoms       : 5523 (   0 equ)
%            Maximal formula atoms :  599 (   7 avg)
%            Number of connectives : 7366 (2590   ~;3513   |; 875   &)
%                                         ( 112 <=>; 276  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   95 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  147 ( 146 usr; 143 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  668 (   0 sgn 668   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a730)
          & c3_1(a730)
          & ~ c1_1(a730) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c1_1(a731)
          & c3_1(a731)
          & ~ c2_1(a731) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c0_1(a732)
          & ~ c2_1(a732)
          & ~ c3_1(a732) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c2_1(a733)
          & ~ c0_1(a733)
          & ~ c1_1(a733) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a734)
          & ~ c0_1(a734)
          & ~ c3_1(a734) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a735)
          & c3_1(a735)
          & ~ c0_1(a735) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a738)
          & ~ c0_1(a738)
          & ~ c2_1(a738) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a741)
          & c3_1(a741)
          & ~ c0_1(a741) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c3_1(a744)
          & ~ c0_1(a744)
          & ~ c1_1(a744) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c3_1(a746)
          & ~ c0_1(a746)
          & ~ c2_1(a746) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c0_1(a748)
          & ~ c1_1(a748)
          & ~ c2_1(a748) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c0_1(a749)
          & ~ c1_1(a749)
          & ~ c3_1(a749) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a755)
          & c2_1(a755)
          & ~ c3_1(a755) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c2_1(a759)
          & c3_1(a759)
          & ~ c1_1(a759) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a762)
          & ~ c1_1(a762)
          & ~ c2_1(a762) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a763)
          & c1_1(a763)
          & ~ c2_1(a763) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a764)
          & c2_1(a764)
          & ~ c3_1(a764) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a766)
          & c2_1(a766)
          & ~ c0_1(a766) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a775)
          & ~ c2_1(a775)
          & ~ c3_1(a775) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a777)
          & ~ c0_1(a777)
          & ~ c3_1(a777) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a779)
          & ~ c1_1(a779)
          & ~ c3_1(a779) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a793)
          & c3_1(a793)
          & ~ c2_1(a793) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c3_1(a797)
          & ~ c1_1(a797)
          & ~ c2_1(a797) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a798)
          & c1_1(a798)
          & ~ c3_1(a798) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a802)
          & ~ c2_1(a802)
          & ~ c3_1(a802) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a729)
          & c2_1(a729)
          & c3_1(a729) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a737)
          & c2_1(a737)
          & c3_1(a737) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a750)
          & c1_1(a750)
          & c2_1(a750) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a784)
          & c1_1(a784)
          & c3_1(a784) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c3_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c0_1(X2)
              | ~ c1_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | ~ c0_1(X4)
              | ~ c3_1(X4) ) )
        | hskp25 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | hskp0
        | hskp1 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c3_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c2_1(X7)
              | ~ c3_1(X7) ) )
        | hskp2 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c3_1(X9)
              | ~ c1_1(X9) ) )
        | hskp3 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | ~ c0_1(X11)
              | ~ c1_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c0_1(X12)
              | ~ c1_1(X12)
              | ~ c3_1(X12) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c3_1(X13) ) )
        | hskp4
        | hskp5 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c2_1(X15)
              | ~ c1_1(X15) ) )
        | hskp0 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c2_1(X16) ) )
        | hskp26
        | hskp6 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | hskp1
        | hskp2 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c3_1(X19)
              | ~ c2_1(X19) ) )
        | hskp7 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | ~ c1_1(X21)
              | ~ c2_1(X21) ) )
        | hskp5 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c3_1(X23)
              | ~ c0_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | ~ c0_1(X24)
              | ~ c1_1(X24) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c1_1(X26)
              | ~ c0_1(X26)
              | ~ c2_1(X26) ) )
        | hskp4 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c3_1(X28)
              | ~ c2_1(X28) ) )
        | hskp8 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | hskp5
        | hskp9 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | ~ c1_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c3_1(X31)
              | ~ c1_1(X31) ) )
        | hskp5 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | ~ c2_1(X33)
              | ~ c3_1(X33) ) )
        | hskp10 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | ~ c1_1(X35)
              | ~ c3_1(X35) ) )
        | hskp11 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c0_1(X37)
              | ~ c1_1(X37)
              | ~ c2_1(X37) ) )
        | hskp27 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c1_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | ~ c1_1(X40)
              | ~ c3_1(X40) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | ~ c2_1(X43)
              | ~ c3_1(X43) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c3_1(X45)
              | ~ c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | ~ c0_1(X46)
              | ~ c1_1(X46) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp27
        | hskp11 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c2_1(X48)
              | ~ c3_1(X48) ) )
        | hskp25
        | hskp6 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c2_1(X49)
              | ~ c3_1(X49) ) )
        | hskp12
        | hskp7 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c2_1(X50)
              | ~ c3_1(X50) ) )
        | hskp6
        | hskp4 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c3_1(X51)
              | ~ c1_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | ~ c0_1(X52)
              | ~ c1_1(X52) ) )
        | hskp13 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) )
        | hskp0
        | hskp9 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | c3_1(X55)
              | ~ c1_1(X55) ) )
        | hskp14 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | hskp15 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | ~ c2_1(X59)
              | ~ c3_1(X59) ) )
        | hskp16 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | hskp27
        | hskp17 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c2_1(X62)
              | ~ c0_1(X62) ) )
        | hskp2 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c2_1(X65)
              | ~ c0_1(X65)
              | ~ c3_1(X65) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | c3_1(X66) ) )
        | hskp27
        | hskp0 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) )
        | hskp26 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | ~ c1_1(X70)
              | ~ c3_1(X70) ) )
        | hskp11 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | ~ c0_1(X71) ) )
        | hskp27
        | hskp5 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c3_1(X72)
              | ~ c2_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c0_1(X73)
              | ~ c3_1(X73) ) )
        | hskp5 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c3_1(X74)
              | ~ c2_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | ~ c1_1(X76)
              | ~ c2_1(X76) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c2_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | ~ c1_1(X78)
              | ~ c3_1(X78) ) )
        | hskp18 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c0_1(X79)
              | ~ c3_1(X79) ) )
        | hskp27
        | hskp19 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c2_1(X80)
              | ~ c3_1(X80) ) )
        | hskp5
        | hskp20 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | c3_1(X81)
              | ~ c0_1(X81) ) )
        | hskp25
        | hskp9 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | c3_1(X82)
              | ~ c0_1(X82) ) )
        | hskp16
        | hskp3 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | c3_1(X83)
              | ~ c1_1(X83) ) )
        | hskp28
        | hskp16 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c0_1(X84)
              | ~ c1_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c2_1(X85)
              | ~ c3_1(X85) ) )
        | hskp1 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c0_1(X86)
              | ~ c1_1(X86) ) )
        | hskp18
        | hskp11 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c1_1(X87)
              | ~ c2_1(X87) ) )
        | hskp27
        | hskp11 )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | hskp28
        | hskp11 )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | ~ c2_1(X89)
              | ~ c3_1(X89) ) )
        | hskp21 )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c2_1(X90)
              | ~ c3_1(X90) ) )
        | hskp21
        | hskp2 )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) )
        | hskp16
        | hskp22 )
      & ( hskp23
        | hskp21
        | hskp17 )
      & ( hskp23
        | hskp24
        | hskp13 )
      & ( hskp16
        | hskp18
        | hskp19 )
      & ( hskp0
        | hskp5
        | hskp19 )
      & ( hskp0
        | hskp8 )
      & ( hskp7
        | hskp1
        | hskp4 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a730)
            & c3_1(a730)
            & ~ c1_1(a730) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c1_1(a731)
            & c3_1(a731)
            & ~ c2_1(a731) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a732)
            & ~ c2_1(a732)
            & ~ c3_1(a732) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c2_1(a733)
            & ~ c0_1(a733)
            & ~ c1_1(a733) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a734)
            & ~ c0_1(a734)
            & ~ c3_1(a734) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a735)
            & c3_1(a735)
            & ~ c0_1(a735) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a738)
            & ~ c0_1(a738)
            & ~ c2_1(a738) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a741)
            & c3_1(a741)
            & ~ c0_1(a741) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c3_1(a744)
            & ~ c0_1(a744)
            & ~ c1_1(a744) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c3_1(a746)
            & ~ c0_1(a746)
            & ~ c2_1(a746) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c0_1(a748)
            & ~ c1_1(a748)
            & ~ c2_1(a748) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c0_1(a749)
            & ~ c1_1(a749)
            & ~ c3_1(a749) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a755)
            & c2_1(a755)
            & ~ c3_1(a755) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c2_1(a759)
            & c3_1(a759)
            & ~ c1_1(a759) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a762)
            & ~ c1_1(a762)
            & ~ c2_1(a762) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a763)
            & c1_1(a763)
            & ~ c2_1(a763) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a764)
            & c2_1(a764)
            & ~ c3_1(a764) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a766)
            & c2_1(a766)
            & ~ c0_1(a766) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a775)
            & ~ c2_1(a775)
            & ~ c3_1(a775) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a777)
            & ~ c0_1(a777)
            & ~ c3_1(a777) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a779)
            & ~ c1_1(a779)
            & ~ c3_1(a779) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a793)
            & c3_1(a793)
            & ~ c2_1(a793) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c3_1(a797)
            & ~ c1_1(a797)
            & ~ c2_1(a797) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a798)
            & c1_1(a798)
            & ~ c3_1(a798) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a802)
            & ~ c2_1(a802)
            & ~ c3_1(a802) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a729)
            & c2_1(a729)
            & c3_1(a729) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a737)
            & c2_1(a737)
            & c3_1(a737) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a750)
            & c1_1(a750)
            & c2_1(a750) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a784)
            & c1_1(a784)
            & c3_1(a784) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c3_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | ~ c1_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c0_1(X4)
                | ~ c3_1(X4) ) )
          | hskp25 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | hskp0
          | hskp1 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c2_1(X7)
                | ~ c3_1(X7) ) )
          | hskp2 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c3_1(X9)
                | ~ c1_1(X9) ) )
          | hskp3 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | ~ c0_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c3_1(X13) ) )
          | hskp4
          | hskp5 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c2_1(X15)
                | ~ c1_1(X15) ) )
          | hskp0 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | hskp26
          | hskp6 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | hskp1
          | hskp2 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c3_1(X19)
                | ~ c2_1(X19) ) )
          | hskp7 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | ~ c1_1(X21)
                | ~ c2_1(X21) ) )
          | hskp5 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c3_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | ~ c0_1(X24)
                | ~ c1_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c0_1(X26)
                | ~ c2_1(X26) ) )
          | hskp4 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c3_1(X28)
                | ~ c2_1(X28) ) )
          | hskp8 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | hskp5
          | hskp9 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c3_1(X31)
                | ~ c1_1(X31) ) )
          | hskp5 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c2_1(X33)
                | ~ c3_1(X33) ) )
          | hskp10 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | ~ c1_1(X35)
                | ~ c3_1(X35) ) )
          | hskp11 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | ~ c1_1(X37)
                | ~ c2_1(X37) ) )
          | hskp27 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c1_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | ~ c1_1(X40)
                | ~ c3_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | ~ c2_1(X43)
                | ~ c3_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c3_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c0_1(X46)
                | ~ c1_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp27
          | hskp11 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp25
          | hskp6 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | ~ c3_1(X49) ) )
          | hskp12
          | hskp7 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c2_1(X50)
                | ~ c3_1(X50) ) )
          | hskp6
          | hskp4 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c3_1(X51)
                | ~ c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | hskp13 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) )
          | hskp0
          | hskp9 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | c3_1(X55)
                | ~ c1_1(X55) ) )
          | hskp14 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | hskp15 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) )
          | hskp16 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | hskp27
          | hskp17 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | ~ c0_1(X62) ) )
          | hskp2 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c0_1(X65)
                | ~ c3_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | c3_1(X66) ) )
          | hskp27
          | hskp0 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) )
          | hskp26 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | ~ c1_1(X70)
                | ~ c3_1(X70) ) )
          | hskp11 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | ~ c0_1(X71) ) )
          | hskp27
          | hskp5 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c3_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c0_1(X73)
                | ~ c3_1(X73) ) )
          | hskp5 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | ~ c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c1_1(X76)
                | ~ c2_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | ~ c1_1(X78)
                | ~ c3_1(X78) ) )
          | hskp18 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c0_1(X79)
                | ~ c3_1(X79) ) )
          | hskp27
          | hskp19 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | hskp5
          | hskp20 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | c3_1(X81)
                | ~ c0_1(X81) ) )
          | hskp25
          | hskp9 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c3_1(X82)
                | ~ c0_1(X82) ) )
          | hskp16
          | hskp3 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c3_1(X83)
                | ~ c1_1(X83) ) )
          | hskp28
          | hskp16 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c2_1(X85)
                | ~ c3_1(X85) ) )
          | hskp1 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | ~ c1_1(X86) ) )
          | hskp18
          | hskp11 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c1_1(X87)
                | ~ c2_1(X87) ) )
          | hskp27
          | hskp11 )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp28
          | hskp11 )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) )
          | hskp21 )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c2_1(X90)
                | ~ c3_1(X90) ) )
          | hskp21
          | hskp2 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) )
          | hskp16
          | hskp22 )
        & ( hskp23
          | hskp21
          | hskp17 )
        & ( hskp23
          | hskp24
          | hskp13 )
        & ( hskp16
          | hskp18
          | hskp19 )
        & ( hskp0
          | hskp5
          | hskp19 )
        & ( hskp0
          | hskp8 )
        & ( hskp7
          | hskp1
          | hskp4 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a730)
        & c3_1(a730)
        & ~ c1_1(a730) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a731)
        & c3_1(a731)
        & ~ c2_1(a731) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a732)
        & ~ c2_1(a732)
        & ~ c3_1(a732) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a733)
        & ~ c0_1(a733)
        & ~ c1_1(a733) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a734)
        & ~ c0_1(a734)
        & ~ c3_1(a734) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a735)
        & c3_1(a735)
        & ~ c0_1(a735) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a738)
        & ~ c0_1(a738)
        & ~ c2_1(a738) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a741)
        & c3_1(a741)
        & ~ c0_1(a741) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a744)
        & ~ c0_1(a744)
        & ~ c1_1(a744) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a746)
        & ~ c0_1(a746)
        & ~ c2_1(a746) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a748)
        & ~ c1_1(a748)
        & ~ c2_1(a748) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a749)
        & ~ c1_1(a749)
        & ~ c3_1(a749) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a755)
        & c2_1(a755)
        & ~ c3_1(a755) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a759)
        & c3_1(a759)
        & ~ c1_1(a759) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a762)
        & ~ c1_1(a762)
        & ~ c2_1(a762) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a763)
        & c1_1(a763)
        & ~ c2_1(a763) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a764)
        & c2_1(a764)
        & ~ c3_1(a764) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a766)
        & c2_1(a766)
        & ~ c0_1(a766) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a775)
        & ~ c2_1(a775)
        & ~ c3_1(a775) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a777)
        & ~ c0_1(a777)
        & ~ c3_1(a777) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a779)
        & ~ c1_1(a779)
        & ~ c3_1(a779) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a793)
        & c3_1(a793)
        & ~ c2_1(a793) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a797)
        & ~ c1_1(a797)
        & ~ c2_1(a797) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a798)
        & c1_1(a798)
        & ~ c3_1(a798) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a802)
        & ~ c2_1(a802)
        & ~ c3_1(a802) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a729)
        & c2_1(a729)
        & c3_1(a729) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a737)
        & c2_1(a737)
        & c3_1(a737) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a750)
        & c1_1(a750)
        & c2_1(a750) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a784)
        & c1_1(a784)
        & c3_1(a784) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c3_1(X1)
            | ~ c2_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c0_1(X2)
            | ~ c1_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | ~ c0_1(X4)
            | ~ c3_1(X4) ) )
      | hskp25 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | hskp0
      | hskp1 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c2_1(X7)
            | ~ c3_1(X7) ) )
      | hskp2 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c2_1(X9)
            | c3_1(X9)
            | ~ c1_1(X9) ) )
      | hskp3 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c2_1(X11)
            | ~ c0_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | ~ c1_1(X12)
            | ~ c3_1(X12) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c3_1(X13) ) )
      | hskp4
      | hskp5 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c2_1(X15)
            | ~ c1_1(X15) ) )
      | hskp0 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c2_1(X16) ) )
      | hskp26
      | hskp6 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | hskp1
      | hskp2 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c3_1(X19)
            | ~ c2_1(X19) ) )
      | hskp7 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | ~ c1_1(X21)
            | ~ c2_1(X21) ) )
      | hskp5 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c3_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | ~ c0_1(X24)
            | ~ c1_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | ~ c0_1(X26)
            | ~ c2_1(X26) ) )
      | hskp4 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c2_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c3_1(X28)
            | ~ c2_1(X28) ) )
      | hskp8 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | hskp5
      | hskp9 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | ~ c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c3_1(X31)
            | ~ c1_1(X31) ) )
      | hskp5 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | ~ c2_1(X33)
            | ~ c3_1(X33) ) )
      | hskp10 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c2_1(X35)
            | ~ c1_1(X35)
            | ~ c3_1(X35) ) )
      | hskp11 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | ~ c1_1(X37)
            | ~ c2_1(X37) ) )
      | hskp27 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c1_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | ~ c1_1(X40)
            | ~ c3_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c2_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | ~ c2_1(X43)
            | ~ c3_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | c3_1(X45)
            | ~ c2_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c2_1(X46)
            | ~ c0_1(X46)
            | ~ c1_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c2_1(X47)
            | ~ c3_1(X47) ) )
      | hskp27
      | hskp11 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c2_1(X48)
            | ~ c3_1(X48) ) )
      | hskp25
      | hskp6 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c2_1(X49)
            | ~ c3_1(X49) ) )
      | hskp12
      | hskp7 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c2_1(X50)
            | ~ c3_1(X50) ) )
      | hskp6
      | hskp4 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c3_1(X51)
            | ~ c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | ~ c0_1(X52)
            | ~ c1_1(X52) ) )
      | hskp13 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c3_1(X53)
            | ~ c1_1(X53) ) )
      | hskp0
      | hskp9 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | c3_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | c3_1(X55)
            | ~ c1_1(X55) ) )
      | hskp14 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c3_1(X56)
            | ~ c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) )
      | hskp15 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | ~ c2_1(X59)
            | ~ c3_1(X59) ) )
      | hskp16 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | hskp27
      | hskp17 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c2_1(X62)
            | ~ c0_1(X62) ) )
      | hskp2 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | ~ c0_1(X65)
            | ~ c3_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c2_1(X66)
            | c3_1(X66) ) )
      | hskp27
      | hskp0 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c2_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | ~ c2_1(X68)
            | ~ c3_1(X68) ) )
      | hskp26 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | ~ c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | ~ c1_1(X70)
            | ~ c3_1(X70) ) )
      | hskp11 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c3_1(X71)
            | ~ c0_1(X71) ) )
      | hskp27
      | hskp5 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c3_1(X72)
            | ~ c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c0_1(X73)
            | ~ c3_1(X73) ) )
      | hskp5 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c3_1(X74)
            | ~ c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c0_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | ~ c1_1(X76)
            | ~ c2_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c3_1(X77)
            | ~ c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | ~ c1_1(X78)
            | ~ c3_1(X78) ) )
      | hskp18 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c0_1(X79)
            | ~ c3_1(X79) ) )
      | hskp27
      | hskp19 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c2_1(X80)
            | ~ c3_1(X80) ) )
      | hskp5
      | hskp20 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | c3_1(X81)
            | ~ c0_1(X81) ) )
      | hskp25
      | hskp9 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | c3_1(X82)
            | ~ c0_1(X82) ) )
      | hskp16
      | hskp3 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | c3_1(X83)
            | ~ c1_1(X83) ) )
      | hskp28
      | hskp16 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | ~ c0_1(X84)
            | ~ c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | ~ c2_1(X85)
            | ~ c3_1(X85) ) )
      | hskp1 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | ~ c0_1(X86)
            | ~ c1_1(X86) ) )
      | hskp18
      | hskp11 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | ~ c1_1(X87)
            | ~ c2_1(X87) ) )
      | hskp27
      | hskp11 )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | ~ c2_1(X88)
            | ~ c3_1(X88) ) )
      | hskp28
      | hskp11 )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | ~ c2_1(X89)
            | ~ c3_1(X89) ) )
      | hskp21 )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | ~ c2_1(X90)
            | ~ c3_1(X90) ) )
      | hskp21
      | hskp2 )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | ~ c2_1(X91)
            | ~ c3_1(X91) ) )
      | hskp16
      | hskp22 )
    & ( hskp23
      | hskp21
      | hskp17 )
    & ( hskp23
      | hskp24
      | hskp13 )
    & ( hskp16
      | hskp18
      | hskp19 )
    & ( hskp0
      | hskp5
      | hskp19 )
    & ( hskp0
      | hskp8 )
    & ( hskp7
      | hskp1
      | hskp4 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a730)
        & c3_1(a730)
        & ~ c1_1(a730) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a731)
        & c3_1(a731)
        & ~ c2_1(a731) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a732)
        & ~ c2_1(a732)
        & ~ c3_1(a732) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a733)
        & ~ c0_1(a733)
        & ~ c1_1(a733) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a734)
        & ~ c0_1(a734)
        & ~ c3_1(a734) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a735)
        & c3_1(a735)
        & ~ c0_1(a735) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a738)
        & ~ c0_1(a738)
        & ~ c2_1(a738) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a741)
        & c3_1(a741)
        & ~ c0_1(a741) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a744)
        & ~ c0_1(a744)
        & ~ c1_1(a744) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a746)
        & ~ c0_1(a746)
        & ~ c2_1(a746) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a748)
        & ~ c1_1(a748)
        & ~ c2_1(a748) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a749)
        & ~ c1_1(a749)
        & ~ c3_1(a749) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a755)
        & c2_1(a755)
        & ~ c3_1(a755) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a759)
        & c3_1(a759)
        & ~ c1_1(a759) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a762)
        & ~ c1_1(a762)
        & ~ c2_1(a762) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a763)
        & c1_1(a763)
        & ~ c2_1(a763) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a764)
        & c2_1(a764)
        & ~ c3_1(a764) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a766)
        & c2_1(a766)
        & ~ c0_1(a766) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a775)
        & ~ c2_1(a775)
        & ~ c3_1(a775) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a777)
        & ~ c0_1(a777)
        & ~ c3_1(a777) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a779)
        & ~ c1_1(a779)
        & ~ c3_1(a779) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a793)
        & c3_1(a793)
        & ~ c2_1(a793) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a797)
        & ~ c1_1(a797)
        & ~ c2_1(a797) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a798)
        & c1_1(a798)
        & ~ c3_1(a798) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a802)
        & ~ c2_1(a802)
        & ~ c3_1(a802) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a729)
        & c2_1(a729)
        & c3_1(a729) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a737)
        & c2_1(a737)
        & c3_1(a737) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a750)
        & c1_1(a750)
        & c2_1(a750) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a784)
        & c1_1(a784)
        & c3_1(a784) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c2_1(X9)
          | c3_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c0_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | hskp26
      | hskp6 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c3_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c3_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | c3_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | hskp5
      | hskp9 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c0_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c2_1(X35)
          | ~ c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | ~ c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c1_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | c3_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | ~ c0_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp27
      | hskp11 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp25
      | hskp6 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp12
      | hskp7 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp6
      | hskp4 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp0
      | hskp9 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp27
      | hskp17 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | hskp27
      | hskp0 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp27
      | hskp5 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c2_1(X78)
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X80] :
          ( c1_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp5
      | hskp20 )
    & ( ! [X81] :
          ( c2_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp25
      | hskp9 )
    & ( ! [X82] :
          ( c2_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | hskp16
      | hskp3 )
    & ( ! [X83] :
          ( c2_1(X83)
          | c3_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X84] :
          ( c3_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp18
      | hskp11 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp27
      | hskp11 )
    & ( ! [X88] :
          ( ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp28
      | hskp11 )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp21
      | hskp2 )
    & ( ! [X91] :
          ( ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp16
      | hskp22 )
    & ( hskp23
      | hskp21
      | hskp17 )
    & ( hskp23
      | hskp24
      | hskp13 )
    & ( hskp16
      | hskp18
      | hskp19 )
    & ( hskp0
      | hskp5
      | hskp19 )
    & ( hskp0
      | hskp8 )
    & ( hskp7
      | hskp1
      | hskp4 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a730)
        & c3_1(a730)
        & ~ c1_1(a730) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c1_1(a731)
        & c3_1(a731)
        & ~ c2_1(a731) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a732)
        & ~ c2_1(a732)
        & ~ c3_1(a732) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a733)
        & ~ c0_1(a733)
        & ~ c1_1(a733) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a734)
        & ~ c0_1(a734)
        & ~ c3_1(a734) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a735)
        & c3_1(a735)
        & ~ c0_1(a735) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a738)
        & ~ c0_1(a738)
        & ~ c2_1(a738) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a741)
        & c3_1(a741)
        & ~ c0_1(a741) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c3_1(a744)
        & ~ c0_1(a744)
        & ~ c1_1(a744) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a746)
        & ~ c0_1(a746)
        & ~ c2_1(a746) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a748)
        & ~ c1_1(a748)
        & ~ c2_1(a748) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a749)
        & ~ c1_1(a749)
        & ~ c3_1(a749) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a755)
        & c2_1(a755)
        & ~ c3_1(a755) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a759)
        & c3_1(a759)
        & ~ c1_1(a759) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a762)
        & ~ c1_1(a762)
        & ~ c2_1(a762) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a763)
        & c1_1(a763)
        & ~ c2_1(a763) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a764)
        & c2_1(a764)
        & ~ c3_1(a764) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a766)
        & c2_1(a766)
        & ~ c0_1(a766) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a775)
        & ~ c2_1(a775)
        & ~ c3_1(a775) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a777)
        & ~ c0_1(a777)
        & ~ c3_1(a777) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a779)
        & ~ c1_1(a779)
        & ~ c3_1(a779) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a793)
        & c3_1(a793)
        & ~ c2_1(a793) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a797)
        & ~ c1_1(a797)
        & ~ c2_1(a797) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a798)
        & c1_1(a798)
        & ~ c3_1(a798) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a802)
        & ~ c2_1(a802)
        & ~ c3_1(a802) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a729)
        & c2_1(a729)
        & c3_1(a729) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a737)
        & c2_1(a737)
        & c3_1(a737) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a750)
        & c1_1(a750)
        & c2_1(a750) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a784)
        & c1_1(a784)
        & c3_1(a784) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c2_1(X9)
          | c3_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c0_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | hskp26
      | hskp6 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c3_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | c3_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | c3_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | hskp5
      | hskp9 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c0_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | ~ c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c2_1(X35)
          | ~ c1_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | ~ c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c1_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | c3_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | ~ c0_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp27
      | hskp11 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp25
      | hskp6 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp12
      | hskp7 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp6
      | hskp4 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp0
      | hskp9 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp27
      | hskp17 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | hskp27
      | hskp0 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp27
      | hskp5 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c3_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c2_1(X78)
          | ~ c1_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp27
      | hskp19 )
    & ( ! [X80] :
          ( c1_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp5
      | hskp20 )
    & ( ! [X81] :
          ( c2_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp25
      | hskp9 )
    & ( ! [X82] :
          ( c2_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | hskp16
      | hskp3 )
    & ( ! [X83] :
          ( c2_1(X83)
          | c3_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | hskp28
      | hskp16 )
    & ( ! [X84] :
          ( c3_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp18
      | hskp11 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp27
      | hskp11 )
    & ( ! [X88] :
          ( ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp28
      | hskp11 )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | ~ c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp21
      | hskp2 )
    & ( ! [X91] :
          ( ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp16
      | hskp22 )
    & ( hskp23
      | hskp21
      | hskp17 )
    & ( hskp23
      | hskp24
      | hskp13 )
    & ( hskp16
      | hskp18
      | hskp19 )
    & ( hskp0
      | hskp5
      | hskp19 )
    & ( hskp0
      | hskp8 )
    & ( hskp7
      | hskp1
      | hskp4 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp7
    | hskp1
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp0
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp0
    | hskp5
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp23
    | hskp24
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X89] :
      ( ~ c0_1(X89)
      | ~ c2_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X86] :
      ( c3_1(X86)
      | ~ c0_1(X86)
      | ~ c1_1(X86)
      | ~ ndr1_0
      | hskp18
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X84,X85] :
      ( c3_1(X84)
      | ~ c0_1(X84)
      | ~ c1_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X81] :
      ( c2_1(X81)
      | c3_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | hskp25
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X80] :
      ( c1_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp5
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X79] :
      ( c1_1(X79)
      | ~ c0_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | hskp27
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X76,X74,X75] :
      ( c1_1(X74)
      | c3_1(X74)
      | ~ c2_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | c3_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | ~ c0_1(X76)
      | ~ c1_1(X76)
      | ~ c2_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | c3_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | c1_1(X73)
      | ~ c0_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X70,X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c2_1(X70)
      | ~ c1_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X65,X63,X64] :
      ( c0_1(X63)
      | ~ c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | c1_1(X64)
      | ~ c2_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | c2_1(X65)
      | ~ c0_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X62,X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | ~ c1_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | ~ c0_1(X59)
      | ~ c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | c3_1(X51)
      | ~ c1_1(X51)
      | ~ ndr1_0
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X46,X44,X45] :
      ( c0_1(X44)
      | c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | c3_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | c2_1(X46)
      | ~ c0_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c0_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | ~ c1_1(X43)
      | ~ c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c0_1(X39)
      | ~ c1_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c2_1(X40)
      | ~ c1_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | c0_1(X33)
      | ~ c2_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | c0_1(X31)
      | c3_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | c3_1(X28)
      | ~ c2_1(X28)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | c0_1(X21)
      | ~ c1_1(X21)
      | ~ c2_1(X21)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | hskp1
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | c2_1(X15)
      | ~ c1_1(X15)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | c3_1(X13)
      | ~ ndr1_0
      | hskp4
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X10,X11,X12] :
      ( c0_1(X10)
      | c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | c2_1(X11)
      | ~ c0_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | ~ c0_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | hskp0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c1_1(X4)
      | ~ c0_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp27
    | c2_1(a750) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp27
    | c1_1(a750) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp27
    | c0_1(a750) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp25
    | c3_1(a729) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp25
    | c2_1(a729) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp25
    | c0_1(a729) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp24
    | ~ c3_1(a802) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp24
    | ~ c2_1(a802) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp24
    | c0_1(a802) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp23
    | ~ c3_1(a798) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp23
    | c1_1(a798) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp23
    | c0_1(a798) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp21
    | ~ c2_1(a793) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp21
    | c3_1(a793) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp21
    | c0_1(a793) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp20
    | ~ c3_1(a779) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp20
    | ~ c1_1(a779) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp20
    | c2_1(a779) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp19
    | ~ c3_1(a777) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp19
    | ~ c0_1(a777) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp19
    | c2_1(a777) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp18
    | ~ c2_1(a775) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp18
    | c1_1(a775) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp16
    | ~ c3_1(a764) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp16
    | c2_1(a764) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp16
    | c0_1(a764) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp13
    | ~ c1_1(a759) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp13
    | c3_1(a759) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp13
    | c2_1(a759) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp11
    | ~ c3_1(a749) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp11
    | ~ c1_1(a749) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp11
    | ~ c0_1(a749) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp10
    | ~ c2_1(a748) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp10
    | ~ c1_1(a748) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp10
    | ~ c0_1(a748) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp9
    | ~ c0_1(a746) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp9
    | c3_1(a746) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp8
    | ~ c1_1(a744) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp8
    | ~ c0_1(a744) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp8
    | c3_1(a744) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp7
    | ~ c0_1(a741) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp7
    | c3_1(a741) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp7
    | c1_1(a741) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp5
    | ~ c0_1(a735) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp5
    | c3_1(a735) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp5
    | c2_1(a735) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp4
    | ~ c3_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp4
    | ~ c0_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp4
    | c1_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f165,plain,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp2
    | ~ c3_1(a732) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp2
    | ~ c2_1(a732) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp2
    | ~ c0_1(a732) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp1
    | ~ c2_1(a731) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp1
    | c3_1(a731) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp1
    | c1_1(a731) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp0
    | ~ c1_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp0
    | c3_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp0
    | c0_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp0
    | ~ c0_1(a730) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f183,plain,
    ( ~ hskp0
    | c1_1(a730) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f184,plain,
    ( ~ hskp1
    | ~ c1_1(a731) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f185,plain,
    ( ~ hskp1
    | c2_1(a731) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f187,plain,
    ( hskp2
    | c0_1(a732) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f188,plain,
    ( hskp2
    | c2_1(a732) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f189,plain,
    ( hskp2
    | ~ c3_1(a732) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f193,plain,
    ( hskp4
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f194,plain,
    ( hskp4
    | ~ c1_1(a734) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f195,plain,
    ( hskp4
    | c0_1(a734) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f196,plain,
    ( hskp4
    | ~ c3_1(a734) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f198,plain,
    ( hskp5
    | ~ c2_1(a735) ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f199,plain,
    ( hskp5
    | c3_1(a735) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f200,plain,
    ( hskp5
    | c0_1(a735) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f206,plain,
    ( hskp7
    | ~ c1_1(a741) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f207,plain,
    ( hskp7
    | c3_1(a741) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f208,plain,
    ( hskp7
    | c0_1(a741) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f209,plain,
    ( hskp8
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f149]) ).

fof(f210,plain,
    ( hskp8
    | c3_1(a744) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f211,plain,
    ( hskp8
    | c0_1(a744) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f212,plain,
    ( hskp8
    | c1_1(a744) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f213,plain,
    ( ~ hskp9
    | c0_1(a746) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f215,plain,
    ( ~ hskp10
    | c0_1(a748) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f216,plain,
    ( ~ hskp10
    | c1_1(a748) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f217,plain,
    ( ~ hskp10
    | c2_1(a748) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f218,plain,
    ( ~ hskp11
    | c0_1(a749) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f219,plain,
    ( ~ hskp11
    | c1_1(a749) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f223,plain,
    ( hskp13
    | ~ c2_1(a759) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f224,plain,
    ( hskp13
    | c3_1(a759) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f225,plain,
    ( hskp13
    | c1_1(a759) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f234,plain,
    ( hskp16
    | ~ c0_1(a764) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f235,plain,
    ( hskp16
    | ~ c2_1(a764) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f236,plain,
    ( hskp16
    | ~ c3_1(a764) ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f241,plain,
    ( ~ hskp18
    | ~ c1_1(a775) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f242,plain,
    ( ~ hskp18
    | c2_1(a775) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f244,plain,
    ( hskp19
    | ~ c2_1(a777) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f245,plain,
    ( hskp19
    | c0_1(a777) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f246,plain,
    ( hskp19
    | ~ c3_1(a777) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f247,plain,
    ( ~ hskp20
    | ~ c2_1(a779) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f248,plain,
    ( ~ hskp20
    | c1_1(a779) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f250,plain,
    ( hskp21
    | ~ c0_1(a793) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f251,plain,
    ( hskp21
    | c3_1(a793) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f252,plain,
    ( hskp21
    | c2_1(a793) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f258,plain,
    ( hskp23
    | ~ c0_1(a798) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f259,plain,
    ( hskp23
    | ~ c1_1(a798) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f260,plain,
    ( hskp23
    | ~ c3_1(a798) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f262,plain,
    ( hskp24
    | ~ c0_1(a802) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f263,plain,
    ( hskp24
    | c2_1(a802) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f264,plain,
    ( hskp24
    | ~ c3_1(a802) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f265,plain,
    ( ~ hskp25
    | ~ c0_1(a729) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f266,plain,
    ( ~ hskp25
    | ~ c2_1(a729) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f269,plain,
    ( ~ hskp27
    | ~ c0_1(a750) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f270,plain,
    ( ~ hskp27
    | ~ c1_1(a750) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f271,plain,
    ( ~ hskp27
    | ~ c2_1(a750) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f277,plain,
    ! [X3,X4] :
      ( ~ c0_1(X3)
      | ~ c1_1(X3)
      | ~ c2_1(X3)
      | ~ ndr1_0
      | ~ c1_1(X4)
      | c0_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | hskp25 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f278,plain,
    ! [X5] :
      ( ~ c0_1(X5)
      | ~ c1_1(X5)
      | ~ c2_1(X5)
      | ~ ndr1_0
      | hskp0
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f281,plain,
    ! [X10,X11,X12] :
      ( ~ c0_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | ~ c2_1(X11)
      | c0_1(X11)
      | c1_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f282,plain,
    ! [X13] :
      ( ~ c0_1(X13)
      | ~ c1_1(X13)
      | c3_1(X13)
      | ~ ndr1_0
      | ~ hskp4
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f283,plain,
    ! [X14,X15] :
      ( ~ c0_1(X14)
      | ~ c1_1(X14)
      | c2_1(X14)
      | ~ ndr1_0
      | ~ c0_1(X15)
      | ~ c2_1(X15)
      | c1_1(X15)
      | ~ ndr1_0
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f285,plain,
    ! [X17] :
      ( ~ c0_1(X17)
      | ~ c1_1(X17)
      | c2_1(X17)
      | ~ ndr1_0
      | hskp1
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f287,plain,
    ! [X21,X20] :
      ( ~ c0_1(X20)
      | ~ c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c1_1(X21)
      | c2_1(X21)
      | ~ ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f290,plain,
    ! [X28,X27] :
      ( ~ c0_1(X27)
      | ~ c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c0_1(X28)
      | c3_1(X28)
      | c2_1(X28)
      | ~ ndr1_0
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f292,plain,
    ! [X31,X30] :
      ( ~ c0_1(X30)
      | ~ c2_1(X30)
      | c1_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c3_1(X31)
      | c1_1(X31)
      | ~ ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f293,plain,
    ! [X32,X33] :
      ( ~ c0_1(X32)
      | ~ c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | c2_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f296,plain,
    ! [X40,X38,X39] :
      ( ~ c0_1(X38)
      | ~ c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | c1_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | ~ c2_1(X40)
      | c1_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f297,plain,
    ! [X41,X42,X43] :
      ( ~ c0_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f298,plain,
    ! [X46,X44,X45] :
      ( ~ c0_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | ~ c1_1(X45)
      | c3_1(X45)
      | c2_1(X45)
      | ~ ndr1_0
      | ~ c2_1(X46)
      | c0_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f303,plain,
    ! [X51,X52] :
      ( ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | ~ c2_1(X52)
      | c0_1(X52)
      | c1_1(X52)
      | ~ ndr1_0
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f307,plain,
    ! [X58,X59] :
      ( ~ c0_1(X58)
      | c1_1(X58)
      | c2_1(X58)
      | ~ ndr1_0
      | c0_1(X59)
      | c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f309,plain,
    ! [X62,X61] :
      ( ~ c0_1(X61)
      | c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | ~ c2_1(X62)
      | c0_1(X62)
      | ~ ndr1_0
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f310,plain,
    ! [X65,X63,X64] :
      ( ~ c0_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | c2_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | ~ c2_1(X65)
      | c0_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f313,plain,
    ! [X70,X69] :
      ( ~ c1_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | c1_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f315,plain,
    ! [X72,X73] :
      ( ~ c1_1(X72)
      | c3_1(X72)
      | c2_1(X72)
      | ~ ndr1_0
      | ~ c1_1(X73)
      | c0_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f316,plain,
    ! [X76,X74,X75] :
      ( ~ c1_1(X74)
      | c3_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c3_1(X75)
      | c0_1(X75)
      | ~ ndr1_0
      | c0_1(X76)
      | c1_1(X76)
      | c2_1(X76)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f318,plain,
    ! [X79] :
      ( ~ c1_1(X79)
      | c0_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | hskp27
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f319,plain,
    ! [X80] :
      ( ~ c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | ~ hskp5
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f320,plain,
    ! [X81] :
      ( ~ c2_1(X81)
      | c3_1(X81)
      | c0_1(X81)
      | ~ ndr1_0
      | hskp25
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f323,plain,
    ! [X84,X85] :
      ( c3_1(X84)
      | c0_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | c0_1(X85)
      | c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f324,plain,
    ! [X86] :
      ( c3_1(X86)
      | c0_1(X86)
      | c1_1(X86)
      | ~ ndr1_0
      | hskp18
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f327,plain,
    ! [X89] :
      ( c0_1(X89)
      | c2_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f331,plain,
    ( ~ hskp23
    | ~ hskp24
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f333,plain,
    ( hskp0
    | ~ hskp5
    | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f334,plain,
    ( hskp0
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f335,plain,
    ( ~ hskp7
    | hskp1
    | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f336,plain,
    ! [X84,X85] :
      ( c3_1(X84)
      | c0_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | c0_1(X85)
      | c2_1(X85)
      | ~ c3_1(X85)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f338,plain,
    ! [X76,X74,X75] :
      ( ~ c1_1(X74)
      | c3_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c3_1(X75)
      | c0_1(X75)
      | c0_1(X76)
      | c1_1(X76)
      | c2_1(X76) ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f339,plain,
    ! [X72,X73] :
      ( ~ c1_1(X72)
      | c3_1(X72)
      | c2_1(X72)
      | ~ ndr1_0
      | ~ c1_1(X73)
      | c0_1(X73)
      | ~ c3_1(X73)
      | ~ hskp5 ),
    inference(duplicate_literal_removal,[],[f315]) ).

fof(f340,plain,
    ! [X70,X69] :
      ( ~ c1_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | ~ c2_1(X70)
      | c1_1(X70)
      | ~ c3_1(X70)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f313]) ).

fof(f342,plain,
    ! [X65,X63,X64] :
      ( ~ c0_1(X63)
      | c2_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | c2_1(X64)
      | ~ c3_1(X64)
      | ~ c2_1(X65)
      | c0_1(X65)
      | ~ c3_1(X65) ),
    inference(duplicate_literal_removal,[],[f310]) ).

fof(f343,plain,
    ! [X62,X61] :
      ( ~ c0_1(X61)
      | c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | ~ c2_1(X62)
      | c0_1(X62)
      | ~ hskp2 ),
    inference(duplicate_literal_removal,[],[f309]) ).

fof(f344,plain,
    ! [X58,X59] :
      ( ~ c0_1(X58)
      | c1_1(X58)
      | c2_1(X58)
      | ~ ndr1_0
      | c0_1(X59)
      | c2_1(X59)
      | ~ c3_1(X59)
      | ~ hskp16 ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f347,plain,
    ! [X51,X52] :
      ( ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | ~ c2_1(X52)
      | c0_1(X52)
      | c1_1(X52)
      | ~ hskp13 ),
    inference(duplicate_literal_removal,[],[f303]) ).

fof(f348,plain,
    ! [X46,X44,X45] :
      ( ~ c0_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | ~ c1_1(X45)
      | c3_1(X45)
      | c2_1(X45)
      | ~ c2_1(X46)
      | c0_1(X46)
      | c1_1(X46) ),
    inference(duplicate_literal_removal,[],[f298]) ).

fof(f349,plain,
    ! [X41,X42,X43] :
      ( ~ c0_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c2_1(X42)
      | ~ c3_1(X42)
      | c1_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43) ),
    inference(duplicate_literal_removal,[],[f297]) ).

fof(f350,plain,
    ! [X40,X38,X39] :
      ( ~ c0_1(X38)
      | ~ c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | c1_1(X39)
      | ~ c3_1(X39)
      | ~ c2_1(X40)
      | c1_1(X40)
      | ~ c3_1(X40) ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f353,plain,
    ! [X32,X33] :
      ( ~ c0_1(X32)
      | ~ c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0
      | ~ c0_1(X33)
      | c2_1(X33)
      | ~ c3_1(X33)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f293]) ).

fof(f354,plain,
    ! [X31,X30] :
      ( ~ c0_1(X30)
      | ~ c2_1(X30)
      | c1_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c3_1(X31)
      | c1_1(X31)
      | ~ hskp5 ),
    inference(duplicate_literal_removal,[],[f292]) ).

fof(f355,plain,
    ! [X28,X27] :
      ( ~ c0_1(X27)
      | ~ c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c0_1(X28)
      | c3_1(X28)
      | c2_1(X28)
      | ~ hskp8 ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f358,plain,
    ! [X21,X20] :
      ( ~ c0_1(X20)
      | ~ c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | c1_1(X21)
      | c2_1(X21)
      | ~ hskp5 ),
    inference(duplicate_literal_removal,[],[f287]) ).

fof(f360,plain,
    ! [X14,X15] :
      ( ~ c0_1(X14)
      | ~ c1_1(X14)
      | c2_1(X14)
      | ~ ndr1_0
      | ~ c0_1(X15)
      | ~ c2_1(X15)
      | c1_1(X15)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f283]) ).

fof(f361,plain,
    ! [X10,X11,X12] :
      ( ~ c0_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | ~ c2_1(X11)
      | c0_1(X11)
      | c1_1(X11)
      | c0_1(X12)
      | c1_1(X12)
      | ~ c3_1(X12) ),
    inference(duplicate_literal_removal,[],[f281]) ).

fof(f364,plain,
    ! [X3,X4] :
      ( ~ c0_1(X3)
      | ~ c1_1(X3)
      | ~ c2_1(X3)
      | ~ ndr1_0
      | ~ c1_1(X4)
      | c0_1(X4)
      | ~ c3_1(X4)
      | hskp25 ),
    inference(duplicate_literal_removal,[],[f277]) ).

fof(f367,definition,
    ( spl0_1
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f371,definition,
    ( spl0_2
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f375,definition,
    ( spl0_3
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f378,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f335,f375,f371,f367]) ).

fof(f380,definition,
    ( spl0_4
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f384,definition,
    ( spl0_5
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f387,plain,
    ( ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f334,f384,f380]) ).

fof(f389,definition,
    ( spl0_6
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f393,definition,
    ( spl0_7
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f396,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f333,f384,f393,f389]) ).

fof(f398,definition,
    ( spl0_8
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f402,definition,
    ( spl0_9
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f407,definition,
    ( spl0_10
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f411,definition,
    ( spl0_11
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f415,definition,
    ( spl0_12
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f418,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f331,f415,f411,f407]) ).

fof(f424,definition,
    ( spl0_14
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f433,definition,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f437,definition,
    ( spl0_17
  <=> ! [X91] :
        ( c1_1(X91)
        | ~ c3_1(X91)
        | c2_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X91] :
        ( c2_1(X91)
        | ~ c3_1(X91)
        | c1_1(X91) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f441,definition,
    ( spl0_18
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f445,definition,
    ( spl0_19
  <=> ! [X90] :
        ( c0_1(X90)
        | ~ c3_1(X90)
        | c2_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f446,plain,
    ( ! [X90] :
        ( c2_1(X90)
        | ~ c3_1(X90)
        | c0_1(X90) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f448,plain,
    ( ~ spl0_14
    | ~ spl0_16
    | spl0_19 ),
    inference(avatar_split_clause,[],[f327,f445,f433,f424]) ).

fof(f450,definition,
    ( spl0_20
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f459,definition,
    ( spl0_22
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f467,definition,
    ( spl0_24
  <=> ! [X86] :
        ( c3_1(X86)
        | c1_1(X86)
        | c0_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f468,plain,
    ( ! [X86] :
        ( c1_1(X86)
        | c3_1(X86)
        | c0_1(X86) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f469,plain,
    ( spl0_20
    | spl0_8
    | ~ spl0_16
    | spl0_24 ),
    inference(avatar_split_clause,[],[f324,f467,f433,f398,f450]) ).

fof(f470,plain,
    ( spl0_2
    | spl0_19
    | ~ spl0_16
    | spl0_24 ),
    inference(avatar_split_clause,[],[f336,f467,f433,f445,f371]) ).

fof(f480,definition,
    ( spl0_27
  <=> ! [X82] :
        ( ~ c2_1(X82)
        | c0_1(X82)
        | c3_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f481,plain,
    ( ! [X82] :
        ( ~ c2_1(X82)
        | c0_1(X82)
        | c3_1(X82) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f484,definition,
    ( spl0_28
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f488,definition,
    ( spl0_29
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f491,plain,
    ( spl0_28
    | spl0_29
    | ~ spl0_16
    | spl0_27 ),
    inference(avatar_split_clause,[],[f320,f480,f433,f488,f484]) ).

fof(f493,definition,
    ( spl0_30
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f497,definition,
    ( spl0_31
  <=> ! [X80] :
        ( ~ c1_1(X80)
        | ~ c3_1(X80)
        | c2_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f498,plain,
    ( ! [X80] :
        ( c2_1(X80)
        | ~ c3_1(X80)
        | ~ c1_1(X80) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f499,plain,
    ( spl0_30
    | ~ spl0_7
    | ~ spl0_16
    | spl0_31 ),
    inference(avatar_split_clause,[],[f319,f497,f433,f393,f493]) ).

fof(f501,definition,
    ( spl0_32
  <=> ! [X79] :
        ( ~ c1_1(X79)
        | ~ c3_1(X79)
        | c0_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X79] :
        ( ~ c1_1(X79)
        | ~ c3_1(X79)
        | c0_1(X79) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f503,plain,
    ( ~ spl0_6
    | spl0_22
    | ~ spl0_16
    | spl0_32 ),
    inference(avatar_split_clause,[],[f318,f501,f433,f459,f389]) ).

fof(f505,definition,
    ( spl0_33
  <=> ! [X78] :
        ( ~ c2_1(X78)
        | ~ c3_1(X78)
        | c1_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f506,plain,
    ( ! [X78] :
        ( ~ c2_1(X78)
        | ~ c3_1(X78)
        | c1_1(X78) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f508,definition,
    ( spl0_34
  <=> ! [X77] :
        ( ~ c1_1(X77)
        | c2_1(X77)
        | c3_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f509,plain,
    ( ! [X77] :
        ( c2_1(X77)
        | ~ c1_1(X77)
        | c3_1(X77) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f512,definition,
    ( spl0_35
  <=> ! [X76] :
        ( c0_1(X76)
        | c2_1(X76)
        | c1_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f513,plain,
    ( ! [X76] :
        ( c2_1(X76)
        | c0_1(X76)
        | c1_1(X76) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f514,plain,
    ( spl0_35
    | spl0_27
    | ~ spl0_16
    | spl0_34 ),
    inference(avatar_split_clause,[],[f338,f508,f433,f480,f512]) ).

fof(f515,plain,
    ( ~ spl0_7
    | spl0_32
    | ~ spl0_16
    | spl0_34 ),
    inference(avatar_split_clause,[],[f339,f508,f433,f501,f393]) ).

fof(f521,definition,
    ( spl0_37
  <=> ! [X69] :
        ( ~ c1_1(X69)
        | ~ c3_1(X69)
        | ~ c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f522,plain,
    ( ! [X69] :
        ( ~ c2_1(X69)
        | ~ c3_1(X69)
        | ~ c1_1(X69) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f523,plain,
    ( spl0_20
    | spl0_33
    | ~ spl0_16
    | spl0_37 ),
    inference(avatar_split_clause,[],[f340,f521,f433,f505,f450]) ).

fof(f529,definition,
    ( spl0_39
  <=> ! [X67] :
        ( ~ c1_1(X67)
        | c0_1(X67)
        | ~ c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f530,plain,
    ( ! [X67] :
        ( ~ c2_1(X67)
        | c0_1(X67)
        | ~ c1_1(X67) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f537,definition,
    ( spl0_41
  <=> ! [X65] :
        ( ~ c2_1(X65)
        | ~ c3_1(X65)
        | c0_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f538,plain,
    ( ! [X65] :
        ( ~ c2_1(X65)
        | ~ c3_1(X65)
        | c0_1(X65) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f540,definition,
    ( spl0_42
  <=> ! [X63] :
        ( ~ c0_1(X63)
        | ~ c3_1(X63)
        | c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f541,plain,
    ( ! [X63] :
        ( c2_1(X63)
        | ~ c3_1(X63)
        | ~ c0_1(X63) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f542,plain,
    ( spl0_41
    | spl0_31
    | ~ spl0_16
    | spl0_42 ),
    inference(avatar_split_clause,[],[f342,f540,f433,f497,f537]) ).

fof(f544,definition,
    ( spl0_43
  <=> ! [X61] :
        ( ~ c0_1(X61)
        | ~ c3_1(X61)
        | c1_1(X61) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f545,plain,
    ( ! [X61] :
        ( c1_1(X61)
        | ~ c3_1(X61)
        | ~ c0_1(X61) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f546,plain,
    ( ~ spl0_18
    | spl0_39
    | ~ spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f343,f544,f433,f529,f441]) ).

fof(f548,definition,
    ( spl0_44
  <=> ! [X60] :
        ( ~ c0_1(X60)
        | c2_1(X60)
        | c1_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f549,plain,
    ( ! [X60] :
        ( c2_1(X60)
        | ~ c0_1(X60)
        | c1_1(X60) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f551,plain,
    ( ~ spl0_9
    | spl0_19
    | ~ spl0_16
    | spl0_44 ),
    inference(avatar_split_clause,[],[f344,f548,f433,f445,f402]) ).

fof(f557,definition,
    ( spl0_46
  <=> ! [X57] :
        ( c0_1(X57)
        | ~ c3_1(X57)
        | c1_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f558,plain,
    ( ! [X57] :
        ( c1_1(X57)
        | ~ c3_1(X57)
        | c0_1(X57) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f560,definition,
    ( spl0_47
  <=> ! [X56] :
        ( ~ c0_1(X56)
        | c2_1(X56)
        | c3_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f561,plain,
    ( ! [X56] :
        ( c2_1(X56)
        | ~ c0_1(X56)
        | c3_1(X56) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f569,definition,
    ( spl0_49
  <=> ! [X53] :
        ( ~ c0_1(X53)
        | c1_1(X53)
        | c3_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f570,plain,
    ( ! [X53] :
        ( c1_1(X53)
        | ~ c0_1(X53)
        | c3_1(X53) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f573,definition,
    ( spl0_50
  <=> ! [X52] :
        ( ~ c2_1(X52)
        | c1_1(X52)
        | c0_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f574,plain,
    ( ! [X52] :
        ( ~ c2_1(X52)
        | c1_1(X52)
        | c0_1(X52) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f575,plain,
    ( ~ spl0_10
    | spl0_50
    | ~ spl0_16
    | spl0_49 ),
    inference(avatar_split_clause,[],[f347,f569,f433,f573,f407]) ).

fof(f581,definition,
    ( spl0_52
  <=> ! [X50] :
        ( ~ c0_1(X50)
        | ~ c3_1(X50)
        | ~ c2_1(X50) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f582,plain,
    ( ! [X50] :
        ( ~ c2_1(X50)
        | ~ c3_1(X50)
        | ~ c0_1(X50) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f591,plain,
    ( spl0_50
    | spl0_34
    | ~ spl0_16
    | spl0_52 ),
    inference(avatar_split_clause,[],[f348,f581,f433,f508,f573]) ).

fof(f592,plain,
    ( spl0_17
    | spl0_42
    | ~ spl0_16
    | spl0_52 ),
    inference(avatar_split_clause,[],[f349,f581,f433,f540,f437]) ).

fof(f593,plain,
    ( spl0_33
    | spl0_43
    | ~ spl0_16
    | spl0_52 ),
    inference(avatar_split_clause,[],[f350,f581,f433,f544,f505]) ).

fof(f595,definition,
    ( spl0_54
  <=> ! [X36] :
        ( ~ c0_1(X36)
        | c1_1(X36)
        | ~ c2_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f596,plain,
    ( ! [X36] :
        ( ~ c2_1(X36)
        | c1_1(X36)
        | ~ c0_1(X36) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f600,definition,
    ( spl0_55
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f603,plain,
    ( spl0_55
    | spl0_42
    | ~ spl0_16
    | spl0_54 ),
    inference(avatar_split_clause,[],[f353,f595,f433,f540,f600]) ).

fof(f604,plain,
    ( ~ spl0_7
    | spl0_49
    | ~ spl0_16
    | spl0_54 ),
    inference(avatar_split_clause,[],[f354,f595,f433,f569,f393]) ).

fof(f606,definition,
    ( spl0_56
  <=> ! [X29] :
        ( ~ c0_1(X29)
        | c3_1(X29)
        | ~ c2_1(X29) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f607,plain,
    ( ! [X29] :
        ( ~ c2_1(X29)
        | c3_1(X29)
        | ~ c0_1(X29) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f609,plain,
    ( ~ spl0_4
    | spl0_47
    | ~ spl0_16
    | spl0_56 ),
    inference(avatar_split_clause,[],[f355,f606,f433,f560,f380]) ).

fof(f614,definition,
    ( spl0_58
  <=> ! [X25] :
        ( ~ c0_1(X25)
        | ~ c3_1(X25)
        | ~ c1_1(X25) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f615,plain,
    ( ! [X25] :
        ( ~ c1_1(X25)
        | ~ c3_1(X25)
        | ~ c0_1(X25) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f618,plain,
    ( ~ spl0_7
    | spl0_44
    | ~ spl0_16
    | spl0_58 ),
    inference(avatar_split_clause,[],[f358,f614,f433,f548,f393]) ).

fof(f621,definition,
    ( spl0_59
  <=> ! [X17] :
        ( ~ c0_1(X17)
        | c2_1(X17)
        | ~ c1_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f622,plain,
    ( ! [X17] :
        ( c2_1(X17)
        | ~ c0_1(X17)
        | ~ c1_1(X17) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f623,plain,
    ( ~ spl0_18
    | spl0_2
    | ~ spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f285,f621,f433,f371,f441]) ).

fof(f625,plain,
    ( spl0_5
    | spl0_54
    | ~ spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f360,f621,f433,f595,f384]) ).

fof(f627,definition,
    ( spl0_60
  <=> ! [X13] :
        ( ~ c0_1(X13)
        | c3_1(X13)
        | ~ c1_1(X13) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f628,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | c3_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f629,plain,
    ( ~ spl0_7
    | ~ spl0_1
    | ~ spl0_16
    | spl0_60 ),
    inference(avatar_split_clause,[],[f282,f627,f433,f367,f393]) ).

fof(f630,plain,
    ( spl0_46
    | spl0_50
    | ~ spl0_16
    | spl0_60 ),
    inference(avatar_split_clause,[],[f361,f627,f433,f573,f557]) ).

fof(f634,definition,
    ( spl0_61
  <=> ! [X5] :
        ( ~ c0_1(X5)
        | ~ c2_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f635,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | ~ c0_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f636,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_16
    | spl0_61 ),
    inference(avatar_split_clause,[],[f278,f634,f433,f384,f371]) ).

fof(f637,plain,
    ( spl0_29
    | spl0_32
    | ~ spl0_16
    | spl0_61 ),
    inference(avatar_split_clause,[],[f364,f634,f433,f501,f488]) ).

fof(f656,definition,
    ( spl0_65
  <=> c2_1(a750) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f658,plain,
    ( ~ c2_1(a750)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f659,plain,
    ( ~ spl0_65
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f271,f459,f656]) ).

fof(f661,definition,
    ( spl0_66
  <=> c1_1(a750) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ spl0_66
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f270,f459,f661]) ).

fof(f666,definition,
    ( spl0_67
  <=> c0_1(a750) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f669,plain,
    ( ~ spl0_67
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f269,f459,f666]) ).

fof(f688,definition,
    ( spl0_71
  <=> c3_1(a729) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f691,plain,
    ( spl0_71
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f78,f488,f688]) ).

fof(f693,definition,
    ( spl0_72
  <=> c2_1(a729) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ c2_1(a729)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f696,plain,
    ( ~ spl0_72
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f266,f488,f693]) ).

fof(f698,definition,
    ( spl0_73
  <=> c0_1(a729) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f701,plain,
    ( ~ spl0_73
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f265,f488,f698]) ).

fof(f704,definition,
    ( spl0_74
  <=> c3_1(a802) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f707,plain,
    ( ~ spl0_74
    | spl0_11 ),
    inference(avatar_split_clause,[],[f264,f411,f704]) ).

fof(f709,definition,
    ( spl0_75
  <=> c2_1(a802) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f711,plain,
    ( c2_1(a802)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f712,plain,
    ( spl0_75
    | spl0_11 ),
    inference(avatar_split_clause,[],[f263,f411,f709]) ).

fof(f714,definition,
    ( spl0_76
  <=> c0_1(a802) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f717,plain,
    ( ~ spl0_76
    | spl0_11 ),
    inference(avatar_split_clause,[],[f262,f411,f714]) ).

fof(f720,definition,
    ( spl0_77
  <=> c3_1(a798) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f723,plain,
    ( ~ spl0_77
    | spl0_12 ),
    inference(avatar_split_clause,[],[f260,f415,f720]) ).

fof(f725,definition,
    ( spl0_78
  <=> c1_1(a798) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f727,plain,
    ( ~ c1_1(a798)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f728,plain,
    ( ~ spl0_78
    | spl0_12 ),
    inference(avatar_split_clause,[],[f259,f415,f725]) ).

fof(f730,definition,
    ( spl0_79
  <=> c0_1(a798) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ spl0_79
    | spl0_12 ),
    inference(avatar_split_clause,[],[f258,f415,f730]) ).

fof(f752,definition,
    ( spl0_83
  <=> c2_1(a793) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f754,plain,
    ( c2_1(a793)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f755,plain,
    ( spl0_83
    | spl0_14 ),
    inference(avatar_split_clause,[],[f252,f424,f752]) ).

fof(f757,definition,
    ( spl0_84
  <=> c3_1(a793) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f760,plain,
    ( spl0_84
    | spl0_14 ),
    inference(avatar_split_clause,[],[f251,f424,f757]) ).

fof(f762,definition,
    ( spl0_85
  <=> c0_1(a793) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f765,plain,
    ( ~ spl0_85
    | spl0_14 ),
    inference(avatar_split_clause,[],[f250,f424,f762]) ).

fof(f768,definition,
    ( spl0_86
  <=> c3_1(a779) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f771,plain,
    ( ~ spl0_86
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f98,f493,f768]) ).

fof(f773,definition,
    ( spl0_87
  <=> c1_1(a779) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f776,plain,
    ( spl0_87
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f248,f493,f773]) ).

fof(f778,definition,
    ( spl0_88
  <=> c2_1(a779) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f780,plain,
    ( ~ c2_1(a779)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( ~ spl0_88
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f247,f493,f778]) ).

fof(f784,definition,
    ( spl0_89
  <=> c3_1(a777) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f787,plain,
    ( ~ spl0_89
    | spl0_6 ),
    inference(avatar_split_clause,[],[f246,f389,f784]) ).

fof(f789,definition,
    ( spl0_90
  <=> c0_1(a777) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f792,plain,
    ( spl0_90
    | spl0_6 ),
    inference(avatar_split_clause,[],[f245,f389,f789]) ).

fof(f794,definition,
    ( spl0_91
  <=> c2_1(a777) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f796,plain,
    ( ~ c2_1(a777)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f797,plain,
    ( ~ spl0_91
    | spl0_6 ),
    inference(avatar_split_clause,[],[f244,f389,f794]) ).

fof(f805,definition,
    ( spl0_93
  <=> c2_1(a775) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f807,plain,
    ( c2_1(a775)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f808,plain,
    ( spl0_93
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f242,f398,f805]) ).

fof(f810,definition,
    ( spl0_94
  <=> c1_1(a775) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f813,plain,
    ( ~ spl0_94
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f241,f398,f810]) ).

fof(f832,definition,
    ( spl0_98
  <=> c3_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f835,plain,
    ( ~ spl0_98
    | spl0_9 ),
    inference(avatar_split_clause,[],[f236,f402,f832]) ).

fof(f837,definition,
    ( spl0_99
  <=> c2_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f839,plain,
    ( ~ c2_1(a764)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f840,plain,
    ( ~ spl0_99
    | spl0_9 ),
    inference(avatar_split_clause,[],[f235,f402,f837]) ).

fof(f842,definition,
    ( spl0_100
  <=> c0_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f845,plain,
    ( ~ spl0_100
    | spl0_9 ),
    inference(avatar_split_clause,[],[f234,f402,f842]) ).

fof(f880,definition,
    ( spl0_107
  <=> c1_1(a759) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f883,plain,
    ( spl0_107
    | spl0_10 ),
    inference(avatar_split_clause,[],[f225,f407,f880]) ).

fof(f885,definition,
    ( spl0_108
  <=> c3_1(a759) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f888,plain,
    ( spl0_108
    | spl0_10 ),
    inference(avatar_split_clause,[],[f224,f407,f885]) ).

fof(f890,definition,
    ( spl0_109
  <=> c2_1(a759) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f892,plain,
    ( ~ c2_1(a759)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f893,plain,
    ( ~ spl0_109
    | spl0_10 ),
    inference(avatar_split_clause,[],[f223,f407,f890]) ).

fof(f912,definition,
    ( spl0_113
  <=> c3_1(a749) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f915,plain,
    ( ~ spl0_113
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f134,f450,f912]) ).

fof(f917,definition,
    ( spl0_114
  <=> c1_1(a749) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f919,plain,
    ( c1_1(a749)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f920,plain,
    ( spl0_114
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f219,f450,f917]) ).

fof(f922,definition,
    ( spl0_115
  <=> c0_1(a749) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f925,plain,
    ( spl0_115
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f218,f450,f922]) ).

fof(f928,definition,
    ( spl0_116
  <=> c2_1(a748) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f930,plain,
    ( c2_1(a748)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f931,plain,
    ( spl0_116
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f217,f600,f928]) ).

fof(f933,definition,
    ( spl0_117
  <=> c1_1(a748) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f936,plain,
    ( spl0_117
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f216,f600,f933]) ).

fof(f938,definition,
    ( spl0_118
  <=> c0_1(a748) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f941,plain,
    ( spl0_118
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f215,f600,f938]) ).

fof(f949,definition,
    ( spl0_120
  <=> c0_1(a746) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f952,plain,
    ( spl0_120
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f213,f484,f949]) ).

fof(f954,definition,
    ( spl0_121
  <=> c3_1(a746) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f957,plain,
    ( spl0_121
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f144,f484,f954]) ).

fof(f960,definition,
    ( spl0_122
  <=> c1_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f962,plain,
    ( c1_1(a744)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f963,plain,
    ( spl0_122
    | spl0_4 ),
    inference(avatar_split_clause,[],[f212,f380,f960]) ).

fof(f965,definition,
    ( spl0_123
  <=> c0_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f968,plain,
    ( spl0_123
    | spl0_4 ),
    inference(avatar_split_clause,[],[f211,f380,f965]) ).

fof(f970,definition,
    ( spl0_124
  <=> c3_1(a744) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f972,plain,
    ( c3_1(a744)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f973,plain,
    ( spl0_124
    | spl0_4 ),
    inference(avatar_split_clause,[],[f210,f380,f970]) ).

fof(f974,plain,
    ( spl0_16
    | spl0_4 ),
    inference(avatar_split_clause,[],[f209,f380,f433]) ).

fof(f976,definition,
    ( spl0_125
  <=> c0_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f979,plain,
    ( spl0_125
    | spl0_3 ),
    inference(avatar_split_clause,[],[f208,f375,f976]) ).

fof(f981,definition,
    ( spl0_126
  <=> c3_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f984,plain,
    ( spl0_126
    | spl0_3 ),
    inference(avatar_split_clause,[],[f207,f375,f981]) ).

fof(f986,definition,
    ( spl0_127
  <=> c1_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f988,plain,
    ( ~ c1_1(a741)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f986]) ).

fof(f989,plain,
    ( ~ spl0_127
    | spl0_3 ),
    inference(avatar_split_clause,[],[f206,f375,f986]) ).

fof(f1008,definition,
    ( spl0_131
  <=> c0_1(a735) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1011,plain,
    ( spl0_131
    | spl0_7 ),
    inference(avatar_split_clause,[],[f200,f393,f1008]) ).

fof(f1013,definition,
    ( spl0_132
  <=> c3_1(a735) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1016,plain,
    ( spl0_132
    | spl0_7 ),
    inference(avatar_split_clause,[],[f199,f393,f1013]) ).

fof(f1018,definition,
    ( spl0_133
  <=> c2_1(a735) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1020,plain,
    ( ~ c2_1(a735)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f1018]) ).

fof(f1021,plain,
    ( ~ spl0_133
    | spl0_7 ),
    inference(avatar_split_clause,[],[f198,f393,f1018]) ).

fof(f1024,definition,
    ( spl0_134
  <=> c3_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1027,plain,
    ( ~ spl0_134
    | spl0_1 ),
    inference(avatar_split_clause,[],[f196,f367,f1024]) ).

fof(f1029,definition,
    ( spl0_135
  <=> c0_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1032,plain,
    ( spl0_135
    | spl0_1 ),
    inference(avatar_split_clause,[],[f195,f367,f1029]) ).

fof(f1034,definition,
    ( spl0_136
  <=> c1_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1036,plain,
    ( ~ c1_1(a734)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f1037,plain,
    ( ~ spl0_136
    | spl0_1 ),
    inference(avatar_split_clause,[],[f194,f367,f1034]) ).

fof(f1038,plain,
    ( spl0_16
    | spl0_1 ),
    inference(avatar_split_clause,[],[f193,f367,f433]) ).

fof(f1056,definition,
    ( spl0_140
  <=> c3_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1059,plain,
    ( ~ spl0_140
    | spl0_18 ),
    inference(avatar_split_clause,[],[f189,f441,f1056]) ).

fof(f1061,definition,
    ( spl0_141
  <=> c2_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1063,plain,
    ( c2_1(a732)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1064,plain,
    ( spl0_141
    | spl0_18 ),
    inference(avatar_split_clause,[],[f188,f441,f1061]) ).

fof(f1066,definition,
    ( spl0_142
  <=> c0_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1069,plain,
    ( spl0_142
    | spl0_18 ),
    inference(avatar_split_clause,[],[f187,f441,f1066]) ).

fof(f1072,definition,
    ( spl0_143
  <=> c2_1(a731) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1074,plain,
    ( c2_1(a731)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1072]) ).

fof(f1075,plain,
    ( spl0_143
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f185,f371,f1072]) ).

fof(f1077,definition,
    ( spl0_144
  <=> c3_1(a731) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1080,plain,
    ( spl0_144
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f175,f371,f1077]) ).

fof(f1082,definition,
    ( spl0_145
  <=> c1_1(a731) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1084,plain,
    ( ~ c1_1(a731)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1082]) ).

fof(f1085,plain,
    ( ~ spl0_145
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f184,f371,f1082]) ).

fof(f1088,definition,
    ( spl0_146
  <=> c1_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1090,plain,
    ( c1_1(a730)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1091,plain,
    ( spl0_146
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f183,f384,f1088]) ).

fof(f1093,definition,
    ( spl0_147
  <=> c3_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1095,plain,
    ( c3_1(a730)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1093]) ).

fof(f1096,plain,
    ( spl0_147
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f179,f384,f1093]) ).

fof(f1098,definition,
    ( spl0_148
  <=> c0_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1101,plain,
    ( ~ spl0_148
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f182,f384,f1098]) ).

fof(f1102,plain,
    ( spl0_16
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f181,f384,f433]) ).

fof(f1122,plain,
    ( ~ c3_1(a729)
    | c0_1(a729)
    | ~ spl0_19
    | spl0_72 ),
    inference(resolution,[],[f446,f695]) ).

fof(f1176,plain,
    ( c3_1(a798)
    | c0_1(a798)
    | ~ spl0_24
    | spl0_78 ),
    inference(resolution,[],[f468,f727]) ).

fof(f1199,definition,
    ( spl0_159
  <=> c0_1(a775) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1222,definition,
    ( spl0_162
  <=> c0_1(a731) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1286,plain,
    ( ~ c1_1(a764)
    | c3_1(a764)
    | ~ spl0_34
    | spl0_99 ),
    inference(resolution,[],[f509,f839]) ).

fof(f1289,plain,
    ( ~ c1_1(a779)
    | c3_1(a779)
    | ~ spl0_34
    | spl0_88 ),
    inference(resolution,[],[f509,f780]) ).

fof(f1308,definition,
    ( spl0_166
  <=> c1_1(a777) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1309,plain,
    ( c1_1(a777)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1308]) ).

fof(f1313,definition,
    ( spl0_167
  <=> c1_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1315,plain,
    ( ~ c1_1(a764)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1316,plain,
    ( spl0_98
    | ~ spl0_167
    | ~ spl0_34
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1286,f837,f508,f1313,f832]) ).

fof(f1318,definition,
    ( spl0_168
  <=> c1_1(a746) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1319,plain,
    ( c1_1(a746)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1318]) ).

fof(f1320,plain,
    ( ~ c1_1(a746)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1318]) ).

fof(f1323,definition,
    ( spl0_169
  <=> c1_1(a735) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1324,plain,
    ( c1_1(a735)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1323]) ).

fof(f1325,plain,
    ( ~ c1_1(a735)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1323]) ).

fof(f1328,definition,
    ( spl0_170
  <=> c1_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1329,plain,
    ( c1_1(a732)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f1330,plain,
    ( ~ c1_1(a732)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f1335,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_31
    | ~ spl0_39 ),
    inference(resolution,[],[f530,f498]) ).

fof(f1339,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_31
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1335]) ).

fof(f1370,plain,
    ( ~ c0_1(a735)
    | c1_1(a735)
    | ~ spl0_44
    | spl0_133 ),
    inference(resolution,[],[f549,f1020]) ).

fof(f1380,plain,
    ( ~ c0_1(a777)
    | c1_1(a777)
    | ~ spl0_44
    | spl0_91 ),
    inference(resolution,[],[f549,f796]) ).

fof(f1389,plain,
    ( spl0_166
    | ~ spl0_90
    | ~ spl0_44
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1380,f794,f548,f789,f1308]) ).

fof(f1399,plain,
    ( spl0_86
    | ~ spl0_87
    | ~ spl0_34
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1289,f778,f508,f773,f768]) ).

fof(f1405,plain,
    ( ~ c3_1(a730)
    | c0_1(a730)
    | ~ spl0_32
    | ~ spl0_146 ),
    inference(resolution,[],[f1090,f502]) ).

fof(f1413,plain,
    ( ~ c3_1(a735)
    | ~ c1_1(a735)
    | ~ spl0_31
    | spl0_133 ),
    inference(resolution,[],[f498,f1020]) ).

fof(f1418,plain,
    ( ~ c3_1(a759)
    | ~ c1_1(a759)
    | ~ spl0_31
    | spl0_109 ),
    inference(resolution,[],[f498,f892]) ).

fof(f1451,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(resolution,[],[f538,f446]) ).

fof(f1456,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_19
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1451]) ).

fof(f1466,plain,
    ( ~ c3_1(a741)
    | ~ c0_1(a741)
    | ~ spl0_43
    | spl0_127 ),
    inference(resolution,[],[f545,f988]) ).

fof(f1531,plain,
    ( ~ c0_1(a732)
    | c3_1(a732)
    | ~ spl0_49
    | spl0_170 ),
    inference(resolution,[],[f570,f1330]) ).

fof(f1571,plain,
    ( spl0_32
    | ~ spl0_31
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1339,f529,f497,f501]) ).

fof(f1572,plain,
    ( spl0_140
    | ~ spl0_142
    | ~ spl0_49
    | spl0_170 ),
    inference(avatar_split_clause,[],[f1531,f1328,f569,f1066,f1056]) ).

fof(f1601,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_31
    | ~ spl0_52 ),
    inference(resolution,[],[f582,f498]) ).

fof(f1611,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_31
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1601]) ).

fof(f1616,plain,
    ( spl0_58
    | ~ spl0_31
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1611,f581,f497,f614]) ).

fof(f1622,plain,
    ( ~ spl0_107
    | ~ spl0_108
    | ~ spl0_31
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1418,f890,f497,f885,f880]) ).

fof(f1635,plain,
    ( ~ c3_1(a735)
    | c1_1(a735)
    | ~ spl0_17
    | spl0_133 ),
    inference(resolution,[],[f438,f1020]) ).

fof(f1652,plain,
    ( ~ c3_1(a735)
    | ~ c0_1(a735)
    | ~ spl0_42
    | spl0_133 ),
    inference(resolution,[],[f541,f1020]) ).

fof(f1666,plain,
    ( ~ c3_1(a731)
    | ~ c0_1(a731)
    | ~ spl0_43
    | spl0_145 ),
    inference(resolution,[],[f545,f1084]) ).

fof(f1668,plain,
    ( ~ c3_1(a735)
    | ~ c0_1(a735)
    | ~ spl0_43
    | spl0_169 ),
    inference(resolution,[],[f545,f1325]) ).

fof(f1670,plain,
    ( ~ c3_1(a746)
    | ~ c0_1(a746)
    | ~ spl0_43
    | spl0_168 ),
    inference(resolution,[],[f545,f1320]) ).

fof(f1690,plain,
    ( c1_1(a731)
    | c0_1(a731)
    | ~ spl0_50
    | ~ spl0_143 ),
    inference(resolution,[],[f574,f1074]) ).

fof(f1693,plain,
    ( c1_1(a775)
    | c0_1(a775)
    | ~ spl0_50
    | ~ spl0_93 ),
    inference(resolution,[],[f574,f807]) ).

fof(f1700,plain,
    ( spl0_162
    | spl0_145
    | ~ spl0_50
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1690,f1072,f573,f1082,f1222]) ).

fof(f1748,plain,
    ( c0_1(a802)
    | c3_1(a802)
    | ~ spl0_27
    | ~ spl0_75 ),
    inference(resolution,[],[f711,f481]) ).

fof(f1749,plain,
    ( spl0_74
    | spl0_76
    | ~ spl0_27
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1748,f709,f480,f714,f704]) ).

fof(f1752,plain,
    ( ~ spl0_120
    | ~ spl0_121
    | ~ spl0_43
    | spl0_168 ),
    inference(avatar_split_clause,[],[f1670,f1318,f544,f954,f949]) ).

fof(f1772,plain,
    ( ~ c3_1(a731)
    | c0_1(a731)
    | ~ spl0_46
    | spl0_145 ),
    inference(resolution,[],[f558,f1084]) ).

fof(f1789,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_44
    | ~ spl0_54 ),
    inference(resolution,[],[f596,f549]) ).

fof(f1804,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_44
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1789]) ).

fof(f1812,plain,
    ( ~ spl0_131
    | ~ spl0_132
    | ~ spl0_43
    | spl0_169 ),
    inference(avatar_split_clause,[],[f1668,f1323,f544,f1013,f1008]) ).

fof(f1813,plain,
    ( spl0_169
    | ~ spl0_131
    | ~ spl0_44
    | spl0_133 ),
    inference(avatar_split_clause,[],[f1370,f1018,f548,f1008,f1323]) ).

fof(f1834,plain,
    ( ~ c0_1(a734)
    | c3_1(a734)
    | ~ spl0_49
    | spl0_136 ),
    inference(resolution,[],[f570,f1036]) ).

fof(f1850,plain,
    ( ~ c3_1(a731)
    | ~ c0_1(a731)
    | ~ spl0_52
    | ~ spl0_143 ),
    inference(resolution,[],[f582,f1074]) ).

fof(f1916,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_42
    | ~ spl0_52 ),
    inference(resolution,[],[f541,f582]) ).

fof(f1925,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_42
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1916]) ).

fof(f1929,plain,
    ( ~ c0_1(a744)
    | ~ spl0_42
    | ~ spl0_52
    | ~ spl0_124 ),
    inference(resolution,[],[f1925,f972]) ).

fof(f1936,plain,
    ( ~ spl0_123
    | ~ spl0_42
    | ~ spl0_52
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1929,f970,f581,f540,f965]) ).

fof(f1954,plain,
    ( c3_1(a732)
    | ~ c0_1(a732)
    | ~ spl0_56
    | ~ spl0_141 ),
    inference(resolution,[],[f607,f1063]) ).

fof(f1976,plain,
    ( ~ spl0_142
    | spl0_140
    | ~ spl0_56
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1954,f1061,f606,f1056,f1066]) ).

fof(f1991,plain,
    ( ~ c0_1(a734)
    | ~ spl0_44
    | ~ spl0_54
    | spl0_136 ),
    inference(resolution,[],[f1804,f1036]) ).

fof(f2034,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_31
    | ~ spl0_37 ),
    inference(resolution,[],[f522,f498]) ).

fof(f2049,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_31
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f2034]) ).

fof(f2058,plain,
    ( ~ c3_1(a731)
    | c1_1(a731)
    | ~ spl0_33
    | ~ spl0_143 ),
    inference(resolution,[],[f506,f1074]) ).

fof(f2073,plain,
    ( spl0_145
    | ~ spl0_144
    | ~ spl0_33
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2058,f1072,f505,f1077,f1082]) ).

fof(f2089,plain,
    ( ~ c3_1(a730)
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_146 ),
    inference(resolution,[],[f2049,f1090]) ).

fof(f2094,plain,
    ( ~ c3_1(a744)
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_122 ),
    inference(resolution,[],[f2049,f962]) ).

fof(f2103,plain,
    ( ~ spl0_124
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2094,f960,f521,f497,f970]) ).

fof(f2104,plain,
    ( ~ spl0_147
    | ~ spl0_31
    | ~ spl0_37
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2089,f1088,f521,f497,f1093]) ).

fof(f2119,plain,
    ( ~ spl0_135
    | ~ spl0_44
    | ~ spl0_54
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1991,f1034,f595,f548,f1029]) ).

fof(f2127,plain,
    ( spl0_148
    | ~ spl0_147
    | ~ spl0_32
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1405,f1088,f501,f1093,f1098]) ).

fof(f2138,plain,
    ( ~ spl0_169
    | ~ spl0_132
    | ~ spl0_31
    | spl0_133 ),
    inference(avatar_split_clause,[],[f1413,f1018,f497,f1013,f1323]) ).

fof(f2147,plain,
    ( ~ c0_1(a777)
    | c3_1(a777)
    | ~ spl0_47
    | spl0_91 ),
    inference(resolution,[],[f796,f561]) ).

fof(f2174,plain,
    ( c3_1(a764)
    | c0_1(a764)
    | ~ spl0_24
    | spl0_167 ),
    inference(resolution,[],[f468,f1315]) ).

fof(f2184,plain,
    ( spl0_100
    | spl0_98
    | ~ spl0_24
    | spl0_167 ),
    inference(avatar_split_clause,[],[f2174,f1313,f467,f832,f842]) ).

fof(f2189,plain,
    ( spl0_159
    | spl0_94
    | ~ spl0_50
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1693,f805,f573,f810,f1199]) ).

fof(f2253,plain,
    ( ~ spl0_131
    | ~ spl0_132
    | ~ spl0_42
    | spl0_133 ),
    inference(avatar_split_clause,[],[f1652,f1018,f540,f1013,f1008]) ).

fof(f2270,plain,
    ( spl0_162
    | ~ spl0_144
    | ~ spl0_46
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1772,f1082,f557,f1077,f1222]) ).

fof(f2283,plain,
    ( spl0_169
    | ~ spl0_132
    | ~ spl0_17
    | spl0_133 ),
    inference(avatar_split_clause,[],[f1635,f1018,f437,f1013,f1323]) ).

fof(f2295,plain,
    ( ~ spl0_125
    | ~ spl0_126
    | ~ spl0_43
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1466,f986,f544,f981,f976]) ).

fof(f2302,plain,
    ( ~ spl0_162
    | ~ spl0_144
    | ~ spl0_43
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1666,f1082,f544,f1077,f1222]) ).

fof(f2369,plain,
    ( c0_1(a750)
    | c1_1(a750)
    | ~ spl0_35
    | spl0_65 ),
    inference(resolution,[],[f513,f658]) ).

fof(f2415,plain,
    ( spl0_73
    | ~ spl0_71
    | ~ spl0_19
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1122,f693,f445,f688,f698]) ).

fof(f2422,plain,
    ( c0_1(a730)
    | ~ spl0_19
    | ~ spl0_41
    | ~ spl0_147 ),
    inference(resolution,[],[f1456,f1095]) ).

fof(f2438,plain,
    ( spl0_148
    | ~ spl0_19
    | ~ spl0_41
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2422,f1093,f537,f445,f1098]) ).

fof(f2476,plain,
    ( ~ spl0_162
    | ~ spl0_144
    | ~ spl0_52
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1850,f1072,f581,f1077,f1222]) ).

fof(f2628,plain,
    ( ~ c3_1(a735)
    | ~ c0_1(a735)
    | ~ spl0_58
    | ~ spl0_169 ),
    inference(resolution,[],[f615,f1324]) ).

fof(f2630,plain,
    ( ~ c3_1(a744)
    | ~ c0_1(a744)
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(resolution,[],[f615,f962]) ).

fof(f2631,plain,
    ( ~ c3_1(a746)
    | ~ c0_1(a746)
    | ~ spl0_58
    | ~ spl0_168 ),
    inference(resolution,[],[f615,f1319]) ).

fof(f2653,plain,
    ( ~ spl0_120
    | ~ spl0_121
    | ~ spl0_58
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2631,f1318,f614,f954,f949]) ).

fof(f2654,plain,
    ( ~ spl0_123
    | ~ spl0_124
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2630,f960,f614,f970,f965]) ).

fof(f2655,plain,
    ( ~ spl0_131
    | ~ spl0_132
    | ~ spl0_58
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f2628,f1323,f614,f1013,f1008]) ).

fof(f2704,plain,
    ( spl0_89
    | ~ spl0_90
    | ~ spl0_47
    | spl0_91 ),
    inference(avatar_split_clause,[],[f2147,f794,f560,f789,f784]) ).

fof(f2705,plain,
    ( spl0_66
    | spl0_67
    | ~ spl0_35
    | spl0_65 ),
    inference(avatar_split_clause,[],[f2369,f656,f512,f666,f661]) ).

fof(f2729,plain,
    ( ~ c3_1(a731)
    | c0_1(a731)
    | ~ spl0_41
    | ~ spl0_143 ),
    inference(resolution,[],[f1074,f538]) ).

fof(f2881,plain,
    ( spl0_134
    | ~ spl0_135
    | ~ spl0_49
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1834,f1034,f569,f1029,f1024]) ).

fof(f2954,plain,
    ( c1_1(a732)
    | ~ c0_1(a732)
    | ~ spl0_54
    | ~ spl0_141 ),
    inference(resolution,[],[f596,f1063]) ).

fof(f2956,plain,
    ( c1_1(a775)
    | ~ c0_1(a775)
    | ~ spl0_54
    | ~ spl0_93 ),
    inference(resolution,[],[f596,f807]) ).

fof(f2988,plain,
    ( c3_1(a732)
    | ~ c0_1(a732)
    | ~ spl0_60
    | ~ spl0_170 ),
    inference(resolution,[],[f628,f1329]) ).

fof(f2993,plain,
    ( c3_1(a749)
    | ~ c0_1(a749)
    | ~ spl0_60
    | ~ spl0_114 ),
    inference(resolution,[],[f628,f919]) ).

fof(f2998,plain,
    ( c3_1(a777)
    | ~ c0_1(a777)
    | ~ spl0_60
    | ~ spl0_166 ),
    inference(resolution,[],[f628,f1309]) ).

fof(f3003,plain,
    ( ~ spl0_90
    | spl0_89
    | ~ spl0_60
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2998,f1308,f627,f784,f789]) ).

fof(f3005,plain,
    ( ~ spl0_115
    | spl0_113
    | ~ spl0_60
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2993,f917,f627,f912,f922]) ).

fof(f3007,plain,
    ( ~ spl0_142
    | spl0_140
    | ~ spl0_60
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f2988,f1328,f627,f1056,f1066]) ).

fof(f3011,plain,
    ( ~ c0_1(a732)
    | ~ c1_1(a732)
    | ~ spl0_61
    | ~ spl0_141 ),
    inference(resolution,[],[f635,f1063]) ).

fof(f3012,plain,
    ( ~ c0_1(a748)
    | ~ c1_1(a748)
    | ~ spl0_61
    | ~ spl0_116 ),
    inference(resolution,[],[f635,f930]) ).

fof(f3019,plain,
    ( ~ spl0_117
    | ~ spl0_118
    | ~ spl0_61
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f3012,f928,f634,f938,f933]) ).

fof(f3020,plain,
    ( ~ spl0_170
    | ~ spl0_142
    | ~ spl0_61
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f3011,f1061,f634,f1066,f1328]) ).

fof(f3075,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_59
    | ~ spl0_61 ),
    inference(resolution,[],[f622,f635]) ).

fof(f3098,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_59
    | ~ spl0_61 ),
    inference(duplicate_literal_removal,[],[f3075]) ).

fof(f3116,plain,
    ( ~ c0_1(a744)
    | ~ spl0_59
    | ~ spl0_61
    | ~ spl0_122 ),
    inference(resolution,[],[f3098,f962]) ).

fof(f3117,plain,
    ( ~ c0_1(a749)
    | ~ spl0_59
    | ~ spl0_61
    | ~ spl0_114 ),
    inference(resolution,[],[f3098,f919]) ).

fof(f3121,plain,
    ( ~ spl0_115
    | ~ spl0_59
    | ~ spl0_61
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f3117,f917,f634,f621,f922]) ).

fof(f3122,plain,
    ( ~ spl0_123
    | ~ spl0_59
    | ~ spl0_61
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f3116,f960,f634,f621,f965]) ).

fof(f3125,plain,
    ( ~ spl0_159
    | spl0_94
    | ~ spl0_54
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f2956,f805,f595,f810,f1199]) ).

fof(f3129,plain,
    ( spl0_162
    | ~ spl0_144
    | ~ spl0_41
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2729,f1072,f537,f1077,f1222]) ).

fof(f3132,plain,
    ( spl0_79
    | spl0_77
    | ~ spl0_24
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1176,f725,f467,f720,f730]) ).

fof(f3162,plain,
    ( ~ spl0_142
    | spl0_170
    | ~ spl0_54
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2954,f1061,f595,f1328,f1066]) ).

fof(f3166,plain,
    ( ~ c3_1(a793)
    | c0_1(a793)
    | ~ spl0_41
    | ~ spl0_83 ),
    inference(resolution,[],[f754,f538]) ).

fof(f3169,plain,
    ( spl0_85
    | ~ spl0_84
    | ~ spl0_41
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f3166,f752,f537,f757,f762]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s2,plain,
    ( ~ spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s3,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s5,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s9,plain,
    ( ~ spl0_14
    | ~ spl0_16
    | spl0_19 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s12,plain,
    ( spl0_8
    | ~ spl0_16
    | spl0_20
    | spl0_24 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s13,plain,
    ( spl0_2
    | ~ spl0_16
    | spl0_19
    | spl0_24 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s16,plain,
    ( ~ spl0_16
    | spl0_27
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s17,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s18,plain,
    ( ~ spl0_6
    | ~ spl0_16
    | spl0_22
    | spl0_32 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s20,plain,
    ( ~ spl0_16
    | spl0_27
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s21,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | spl0_32
    | spl0_34 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s23,plain,
    ( ~ spl0_16
    | spl0_20
    | spl0_33
    | spl0_37 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s26,plain,
    ( ~ spl0_16
    | spl0_31
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s27,plain,
    ( ~ spl0_16
    | ~ spl0_18
    | spl0_39
    | spl0_43 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s29,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | spl0_19
    | spl0_44 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s33,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s38,plain,
    ( ~ spl0_16
    | spl0_34
    | spl0_50
    | spl0_52 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s39,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_42
    | spl0_52 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s40,plain,
    ( ~ spl0_16
    | spl0_33
    | spl0_43
    | spl0_52 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s43,plain,
    ( ~ spl0_16
    | spl0_42
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s44,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | spl0_49
    | spl0_54 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s46,plain,
    ( ~ spl0_4
    | ~ spl0_16
    | spl0_47
    | spl0_56 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s49,plain,
    ( ~ spl0_7
    | ~ spl0_16
    | spl0_44
    | spl0_58 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s51,plain,
    ( spl0_2
    | ~ spl0_16
    | ~ spl0_18
    | spl0_59 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s53,plain,
    ( spl0_5
    | ~ spl0_16
    | spl0_54
    | spl0_59 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s54,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_16
    | spl0_60 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s55,plain,
    ( ~ spl0_16
    | spl0_46
    | spl0_50
    | spl0_60 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s58,plain,
    ( spl0_2
    | spl0_5
    | ~ spl0_16
    | spl0_61 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s59,plain,
    ( ~ spl0_16
    | spl0_29
    | spl0_32
    | spl0_61 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s65,plain,
    ( ~ spl0_22
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s66,plain,
    ( ~ spl0_22
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s67,plain,
    ( ~ spl0_22
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s73,plain,
    ( ~ spl0_29
    | spl0_71 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s74,plain,
    ( ~ spl0_29
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s75,plain,
    ( ~ spl0_29
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s77,plain,
    ( spl0_11
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s78,plain,
    ( spl0_11
    | spl0_75 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s79,plain,
    ( spl0_11
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s81,plain,
    ( spl0_12
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s82,plain,
    ( spl0_12
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s83,plain,
    ( spl0_12
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s89,plain,
    ( spl0_14
    | spl0_83 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s90,plain,
    ( spl0_14
    | spl0_84 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s91,plain,
    ( spl0_14
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s93,plain,
    ( ~ spl0_30
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s94,plain,
    ( ~ spl0_30
    | spl0_87 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s95,plain,
    ( ~ spl0_30
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s97,plain,
    ( spl0_6
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s98,plain,
    ( spl0_6
    | spl0_90 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s99,plain,
    ( spl0_6
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s102,plain,
    ( ~ spl0_8
    | spl0_93 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s103,plain,
    ( ~ spl0_8
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s109,plain,
    ( spl0_9
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s110,plain,
    ( spl0_9
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s111,plain,
    ( spl0_9
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s121,plain,
    ( spl0_10
    | spl0_107 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s122,plain,
    ( spl0_10
    | spl0_108 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s123,plain,
    ( spl0_10
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s129,plain,
    ( ~ spl0_20
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s130,plain,
    ( ~ spl0_20
    | spl0_114 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s131,plain,
    ( ~ spl0_20
    | spl0_115 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s133,plain,
    ( ~ spl0_55
    | spl0_116 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s134,plain,
    ( ~ spl0_55
    | spl0_117 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s135,plain,
    ( ~ spl0_55
    | spl0_118 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s138,plain,
    ( ~ spl0_28
    | spl0_120 ),
    inference(sat_conversion,[],[f952]) ).

cnf(s139,plain,
    ( ~ spl0_28
    | spl0_121 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s141,plain,
    ( spl0_4
    | spl0_122 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s142,plain,
    ( spl0_4
    | spl0_123 ),
    inference(sat_conversion,[],[f968]) ).

cnf(s143,plain,
    ( spl0_4
    | spl0_124 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s144,plain,
    ( spl0_4
    | spl0_16 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s145,plain,
    ( spl0_3
    | spl0_125 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s146,plain,
    ( spl0_3
    | spl0_126 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s147,plain,
    ( spl0_3
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f989]) ).

cnf(s153,plain,
    ( spl0_7
    | spl0_131 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s154,plain,
    ( spl0_7
    | spl0_132 ),
    inference(sat_conversion,[],[f1016]) ).

cnf(s155,plain,
    ( spl0_7
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s157,plain,
    ( spl0_1
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1027]) ).

cnf(s158,plain,
    ( spl0_1
    | spl0_135 ),
    inference(sat_conversion,[],[f1032]) ).

cnf(s159,plain,
    ( spl0_1
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1037]) ).

cnf(s160,plain,
    ( spl0_1
    | spl0_16 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s165,plain,
    ( spl0_18
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s166,plain,
    ( spl0_18
    | spl0_141 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s167,plain,
    ( spl0_18
    | spl0_142 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s169,plain,
    ( ~ spl0_2
    | spl0_143 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s170,plain,
    ( ~ spl0_2
    | spl0_144 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s171,plain,
    ( ~ spl0_2
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1085]) ).

cnf(s173,plain,
    ( ~ spl0_5
    | spl0_146 ),
    inference(sat_conversion,[],[f1091]) ).

cnf(s174,plain,
    ( ~ spl0_5
    | spl0_147 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s175,plain,
    ( ~ spl0_5
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s176,plain,
    ( ~ spl0_5
    | spl0_16 ),
    inference(sat_conversion,[],[f1102]) ).

cnf(s212,plain,
    ( ~ spl0_34
    | spl0_98
    | spl0_99
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1316]) ).

cnf(s218,plain,
    ( ~ spl0_44
    | ~ spl0_90
    | spl0_91
    | spl0_166 ),
    inference(sat_conversion,[],[f1389]) ).

cnf(s224,plain,
    ( ~ spl0_34
    | spl0_86
    | ~ spl0_87
    | spl0_88 ),
    inference(sat_conversion,[],[f1399]) ).

cnf(s235,plain,
    ( ~ spl0_31
    | spl0_32
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1571]) ).

cnf(s236,plain,
    ( ~ spl0_49
    | spl0_140
    | ~ spl0_142
    | spl0_170 ),
    inference(sat_conversion,[],[f1572]) ).

cnf(s240,plain,
    ( ~ spl0_31
    | ~ spl0_52
    | spl0_58 ),
    inference(sat_conversion,[],[f1616]) ).

cnf(s246,plain,
    ( ~ spl0_31
    | ~ spl0_107
    | ~ spl0_108
    | spl0_109 ),
    inference(sat_conversion,[],[f1622]) ).

cnf(s255,plain,
    ( ~ spl0_50
    | ~ spl0_143
    | spl0_145
    | spl0_162 ),
    inference(sat_conversion,[],[f1700]) ).

cnf(s303,plain,
    ( ~ spl0_27
    | spl0_74
    | ~ spl0_75
    | spl0_76 ),
    inference(sat_conversion,[],[f1749]) ).

cnf(s306,plain,
    ( ~ spl0_43
    | ~ spl0_120
    | ~ spl0_121
    | spl0_168 ),
    inference(sat_conversion,[],[f1752]) ).

cnf(s313,plain,
    ( ~ spl0_43
    | ~ spl0_131
    | ~ spl0_132
    | spl0_169 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s314,plain,
    ( ~ spl0_44
    | ~ spl0_131
    | spl0_133
    | spl0_169 ),
    inference(sat_conversion,[],[f1813]) ).

cnf(s344,plain,
    ( ~ spl0_42
    | ~ spl0_52
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1936]) ).

cnf(s351,plain,
    ( ~ spl0_56
    | spl0_140
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1976]) ).

cnf(s363,plain,
    ( ~ spl0_33
    | ~ spl0_143
    | ~ spl0_144
    | spl0_145 ),
    inference(sat_conversion,[],[f2073]) ).

cnf(s368,plain,
    ( ~ spl0_31
    | ~ spl0_37
    | ~ spl0_122
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f2103]) ).

cnf(s369,plain,
    ( ~ spl0_31
    | ~ spl0_37
    | ~ spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2104]) ).

cnf(s384,plain,
    ( ~ spl0_44
    | ~ spl0_54
    | ~ spl0_135
    | spl0_136 ),
    inference(sat_conversion,[],[f2119]) ).

cnf(s392,plain,
    ( ~ spl0_32
    | ~ spl0_146
    | ~ spl0_147
    | spl0_148 ),
    inference(sat_conversion,[],[f2127]) ).

cnf(s403,plain,
    ( ~ spl0_31
    | ~ spl0_132
    | spl0_133
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2138]) ).

cnf(s406,plain,
    ( ~ spl0_24
    | spl0_98
    | spl0_100
    | spl0_167 ),
    inference(sat_conversion,[],[f2184]) ).

cnf(s411,plain,
    ( ~ spl0_50
    | ~ spl0_93
    | spl0_94
    | spl0_159 ),
    inference(sat_conversion,[],[f2189]) ).

cnf(s456,plain,
    ( ~ spl0_42
    | ~ spl0_131
    | ~ spl0_132
    | spl0_133 ),
    inference(sat_conversion,[],[f2253]) ).

cnf(s473,plain,
    ( ~ spl0_46
    | ~ spl0_144
    | spl0_145
    | spl0_162 ),
    inference(sat_conversion,[],[f2270]) ).

cnf(s486,plain,
    ( ~ spl0_17
    | ~ spl0_132
    | spl0_133
    | spl0_169 ),
    inference(sat_conversion,[],[f2283]) ).

cnf(s498,plain,
    ( ~ spl0_43
    | ~ spl0_125
    | ~ spl0_126
    | spl0_127 ),
    inference(sat_conversion,[],[f2295]) ).

cnf(s505,plain,
    ( ~ spl0_43
    | ~ spl0_144
    | spl0_145
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2302]) ).

cnf(s530,plain,
    ( ~ spl0_19
    | ~ spl0_71
    | spl0_72
    | spl0_73 ),
    inference(sat_conversion,[],[f2415]) ).

cnf(s538,plain,
    ( ~ spl0_19
    | ~ spl0_41
    | ~ spl0_147
    | spl0_148 ),
    inference(sat_conversion,[],[f2438]) ).

cnf(s577,plain,
    ( ~ spl0_52
    | ~ spl0_143
    | ~ spl0_144
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2476]) ).

cnf(s629,plain,
    ( ~ spl0_58
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2653]) ).

cnf(s630,plain,
    ( ~ spl0_58
    | ~ spl0_122
    | ~ spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f2654]) ).

cnf(s631,plain,
    ( ~ spl0_58
    | ~ spl0_131
    | ~ spl0_132
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2655]) ).

cnf(s658,plain,
    ( ~ spl0_47
    | spl0_89
    | ~ spl0_90
    | spl0_91 ),
    inference(sat_conversion,[],[f2704]) ).

cnf(s659,plain,
    ( ~ spl0_35
    | spl0_65
    | spl0_66
    | spl0_67 ),
    inference(sat_conversion,[],[f2705]) ).

cnf(s690,plain,
    ( ~ spl0_49
    | spl0_134
    | ~ spl0_135
    | spl0_136 ),
    inference(sat_conversion,[],[f2881]) ).

cnf(s709,plain,
    ( ~ spl0_60
    | spl0_89
    | ~ spl0_90
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f3003]) ).

cnf(s711,plain,
    ( ~ spl0_60
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f3005]) ).

cnf(s713,plain,
    ( ~ spl0_60
    | spl0_140
    | ~ spl0_142
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f3007]) ).

cnf(s716,plain,
    ( ~ spl0_61
    | ~ spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f3019]) ).

cnf(s717,plain,
    ( ~ spl0_61
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f3020]) ).

cnf(s739,plain,
    ( ~ spl0_59
    | ~ spl0_61
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f3121]) ).

cnf(s740,plain,
    ( ~ spl0_59
    | ~ spl0_61
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f3122]) ).

cnf(s744,plain,
    ( ~ spl0_54
    | ~ spl0_93
    | spl0_94
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f3125]) ).

cnf(s748,plain,
    ( ~ spl0_41
    | ~ spl0_143
    | ~ spl0_144
    | spl0_162 ),
    inference(sat_conversion,[],[f3129]) ).

cnf(s751,plain,
    ( ~ spl0_24
    | spl0_77
    | spl0_78
    | spl0_79 ),
    inference(sat_conversion,[],[f3132]) ).

cnf(s781,plain,
    ( ~ spl0_54
    | ~ spl0_141
    | ~ spl0_142
    | spl0_170 ),
    inference(sat_conversion,[],[f3162]) ).

cnf(s784,plain,
    ( ~ spl0_41
    | ~ spl0_83
    | ~ spl0_84
    | spl0_85 ),
    inference(sat_conversion,[],[f3169]) ).

cnf(s785,plain,
    ( spl0_5
    | spl0_4
    | spl0_2
    | ~ spl0_16 ),
    inference(rat,[],[s717,s781,s166,s167,s53,s51,s740,s58,s142,s141]) ).

cnf(s786,plain,
    ( ~ spl0_54
    | spl0_18
    | spl0_32
    | spl0_58
    | spl0_1 ),
    inference(rat,[],[s39,s486,s240,s403,s26,s784,s89,s90,s91,s9,s530,s73,s74,s75,s456,s59,s153,s154,s155,s717,s49,s781,s384,s160,s159,s158,s167,s166]) ).

cnf(s787,plain,
    ( spl0_54
    | spl0_32
    | spl0_58
    | spl0_1 ),
    inference(rat,[],[s39,s486,s240,s403,s26,s784,s89,s90,s91,s9,s530,s73,s74,s75,s59,s716,s133,s134,s135,s43,s456,s153,s154,s155,s44,s160,s690,s157,s158,s159]) ).

cnf(s789,plain,
    ( spl0_6
    | ~ spl0_47 ),
    inference(rat,[],[s658,s97,s98,s99]) ).

cnf(s790,plain,
    ( spl0_10
    | ~ spl0_31 ),
    inference(rat,[],[s246,s121,s122,s123]) ).

cnf(s791,plain,
    ( spl0_11
    | ~ spl0_27 ),
    inference(rat,[],[s303,s77,s78,s79]) ).

cnf(s792,plain,
    ( ~ spl0_54
    | spl0_35
    | ~ spl0_141
    | ~ spl0_142
    | spl0_32
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s751,s81,s82,s83,s5,s791,s790,s20,s26,s456,s153,s154,s155,s21,s212,s406,s784,s109,s110,s111,s89,s90,s91,s29,s13,s9,s530,s73,s74,s75,s59,s717,s781,s384,s160,s159,s158]) ).

cnf(s793,plain,
    ( spl0_18
    | ~ spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s751,s81,s82,s83,s5,s791,s20,s790,s212,s26,s406,s784,s109,s110,s111,s89,s90,s91,s29,s13,s9,s530,s73,s74,s75,s59,s716,s133,s134,s135,s43,s314,s456,s631,s153,s154,s155,s787,s44,s792,s659,s65,s66,s67,s18,s789,s46,s351,s165,s166,s167,s160,s690,s157,s158,s159,s392,s173,s174,s175,s2]) ).

cnf(s795,plain,
    ( spl0_18
    | spl0_32
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s786,s787,s630,s141,s142,s143,s793]) ).

cnf(s796,plain,
    ( spl0_7
    | ~ spl0_43
    | ~ spl0_31 ),
    inference(rat,[],[s313,s403,s153,s154,s155]) ).

cnf(s798,plain,
    ( spl0_19
    | spl0_44
    | ~ spl0_34
    | spl0_2
    | ~ spl0_16 ),
    inference(rat,[],[s212,s406,s109,s110,s111,s29,s13]) ).

cnf(s799,plain,
    ( ~ spl0_29
    | ~ spl0_19 ),
    inference(rat,[],[s530,s73,s74,s75]) ).

cnf(s800,plain,
    ( ~ spl0_142
    | ~ spl0_141
    | ~ spl0_61
    | ~ spl0_54 ),
    inference(rat,[],[s717,s781]) ).

cnf(s801,plain,
    ( ~ spl0_28
    | ~ spl0_58
    | ~ spl0_43 ),
    inference(rat,[],[s306,s629,s138,s139]) ).

cnf(s803,plain,
    ( ~ spl0_20
    | ~ spl0_61
    | ~ spl0_59 ),
    inference(rat,[],[s739,s130,s131]) ).

cnf(s805,plain,
    ( spl0_32
    | spl0_29
    | ~ spl0_31
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s411,s744,s102,s103,s12,s751,s81,s82,s83,s5,s791,s16,s801,s49,s384,s44,s796,s803,s27,s51,s59,s795,s235,s33,s790,s160,s690,s157,s158,s159]) ).

cnf(s806,plain,
    ( ~ spl0_5
    | ~ spl0_32 ),
    inference(rat,[],[s392,s173,s174,s175]) ).

cnf(s807,plain,
    ( spl0_5
    | spl0_2
    | ~ spl0_16 ),
    inference(rat,[],[s785,s2]) ).

cnf(s808,plain,
    ( ~ spl0_31
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s384,s798,s44,s21,s796,s799,s27,s805,s235,s690,s157,s158,s159,s795,s806,s807,s160]) ).

cnf(s809,plain,
    ( ~ spl0_7
    | spl0_31
    | spl0_32
    | ~ spl0_16 ),
    inference(rat,[],[s224,s93,s94,s95,s17,s21]) ).

cnf(s810,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s784,s89,s90,s91,s9,s538,s26,s456,s153,s154,s155,s809,s808,s806,s174,s175,s807,s160]) ).

cnf(s811,plain,
    ( ~ spl0_162
    | spl0_1 ),
    inference(rat,[],[s40,s577,s505,s160,s363,s169,s170,s171,s810]) ).

cnf(s812,plain,
    ( spl0_7
    | ~ spl0_42 ),
    inference(rat,[],[s456,s153,s154,s155]) ).

cnf(s813,plain,
    spl0_1,
    inference(rat,[],[s344,s142,s143,s38,s2,s224,s806,s93,s94,s95,s809,s17,s812,s26,s790,s33,s748,s255,s811,s169,s170,s171,s810,s690,s157,s158,s159,s160]) ).

cnf(s814,plain,
    ( ~ spl0_7
    | spl0_18
    | ~ spl0_16 ),
    inference(rat,[],[s44,s236,s781,s713,s54,s167,s166,s165,s813]) ).

cnf(s815,plain,
    ( spl0_12
    | ~ spl0_24 ),
    inference(rat,[],[s751,s81,s82,s83]) ).

cnf(s816,plain,
    ( ~ spl0_22
    | ~ spl0_35 ),
    inference(rat,[],[s659,s65,s66,s67]) ).

cnf(s817,plain,
    ( spl0_4
    | ~ spl0_58 ),
    inference(rat,[],[s630,s141,s142,s143]) ).

cnf(s818,plain,
    ( ~ spl0_61
    | spl0_18
    | ~ spl0_16 ),
    inference(rat,[],[s716,s133,s134,s135,s43,s800,s167,s166,s812,s814]) ).

cnf(s819,plain,
    ( ~ spl0_31
    | spl0_2
    | spl0_32
    | ~ spl0_16 ),
    inference(rat,[],[s791,s5,s20,s815,s798,s13,s799,s59,s818,s816,s18,s789,s46,s817,s240,s39,s314,s486,s403,s812,s153,s154,s155,s814,s351,s165,s166,s167,s27,s235,s790,s498,s146,s147,s145,s1,s813]) ).

cnf(s820,plain,
    ( spl0_2
    | spl0_32
    | ~ spl0_16 ),
    inference(rat,[],[s784,s89,s90,s91,s9,s538,s26,s812,s809,s819,s174,s175,s807]) ).

cnf(s821,plain,
    ( ~ spl0_20
    | ~ spl0_60 ),
    inference(rat,[],[s711,s129,s130,s131]) ).

cnf(s822,plain,
    ( ~ spl0_5
    | ~ spl0_37
    | ~ spl0_31 ),
    inference(rat,[],[s369,s173,s174]) ).

cnf(s823,plain,
    ( ~ spl0_37
    | ~ spl0_31 ),
    inference(rat,[],[s368,s141,s143,s2,s822]) ).

cnf(s824,plain,
    ( ~ spl0_31
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(rat,[],[s55,s255,s473,s577,s40,s796,s54,s821,s23,s823,s363,s169,s170,s171,s813]) ).

cnf(s825,plain,
    ( spl0_32
    | ~ spl0_16 ),
    inference(rat,[],[s40,s577,s505,s748,s26,s812,s809,s824,s363,s169,s170,s171,s820]) ).

cnf(s826,plain,
    ( ~ spl0_7
    | ~ spl0_16 ),
    inference(rat,[],[s709,s218,s97,s98,s99,s49,s3,s54,s817,s2,s806,s825,s813]) ).

cnf(s827,plain,
    ( spl0_5
    | ~ spl0_16 ),
    inference(rat,[],[s40,s577,s505,s748,s26,s812,s826,s363,s824,s169,s170,s171,s807]) ).

cnf(s828,plain,
    ~ spl0_16,
    inference(rat,[],[s827,s806,s825]) ).

cnf(s829,plain,
    ~ spl0_5,
    inference(rat,[],[s176,s828]) ).

cnf(s836,plain,
    spl0_4,
    inference(rat,[],[s144,s828]) ).

cnf(s857,plain,
    $false,
    inference(rat,[],[s2,s829,s836]) ).

fof(f3170,plain,
    $false,
    inference(avatar_sat_refutation,[],[s857]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN451+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n003.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 16:06:43 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.27  % (1723061)Will run a generic schedule for satisfiability detection.
% 0.20/0.27  % (1723072)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3467050630:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27  % (1723067)% WARNING: option uhcvi not known.
% 0.20/0.27  % (1723068)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4142671531:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27  % (1723066)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1319525392_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27  % (1723071)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1771655712:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27  % (1723067)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1558170974:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27  % (1723069)dis+10_1_sil=32000:sp=arity:random_seed=2125891759:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27  % (1723070)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2624772927:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27  % Detected minimum model sizes of [1]
% 0.20/0.27  % Detected maximum model sizes of [29]
% 0.20/0.27  % TRYING [1]
% 0.20/0.27  % TRYING [2]
% 0.20/0.27  % TRYING [3]
% 0.20/0.27  % TRYING [4]
% 0.20/0.27  % (1723072) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1723061-1723072"...
% 0.20/0.27  % (1723072)...printing done.
% 0.20/0.27  % (1723072)Refutation found. Thanks to Tanya!
% 0.20/0.27  % SZS status Theorem for theBenchmark
% 0.20/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28  % (1723072)------------------------------
% 0.20/0.28  % (1723072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28  % (1723072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28  % (1723072)CaDiCaL version: 2.1.3
% 0.20/0.28  % (1723072)Termination reason: Refutation
% 0.20/0.28  % (1723072)Time elapsed: 0.025 s
% 0.20/0.28  % (1723072)Peak memory usage: 14 MB
% 0.20/0.28  % (1723072)Instructions burned: 75 (million)
% 0.20/0.28  % (1723061)Success in time 0.041 s
% 0.20/0.28  % Vampire exiting
%------------------------------------------------------------------------------