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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN508+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:00:01 PM UTC 2026

% Result   : Theorem 2.83s 1.15s
% Output   : Refutation 4.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :  133
% Syntax   : Number of formulae    :  796 (  18 unt; 132 def)
%            Number of atoms       : 6397 (   0 equ)
%            Maximal formula atoms :  747 (   8 avg)
%            Number of connectives : 8473 (2872   ~;4086   |;1035   &)
%                                         ( 132 <=>; 348  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  119 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  170 ( 169 usr; 166 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  770 (   0 sgn 770   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ c0_1(a706)
          & ~ c1_1(a706)
          & ~ c2_1(a706) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a707)
          & ~ c1_1(a707)
          & ~ c2_1(a707) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a708)
          & ~ c0_1(a708)
          & ~ c3_1(a708) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c1_1(a710)
          & ~ c2_1(a710)
          & ~ c3_1(a710) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a711)
          & ~ c1_1(a711)
          & ~ c3_1(a711) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a713)
          & ~ c2_1(a713)
          & ~ c3_1(a713) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a716)
          & c2_1(a716)
          & ~ c3_1(a716) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a717)
          & ~ c2_1(a717)
          & ~ c3_1(a717) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a718)
          & ~ c0_1(a718)
          & ~ c2_1(a718) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c1_1(a719)
          & c2_1(a719)
          & ~ c0_1(a719) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c3_1(a720)
          & ~ c1_1(a720)
          & ~ c2_1(a720) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a721)
          & ~ c0_1(a721)
          & ~ c1_1(a721) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c2_1(a725)
          & ~ c0_1(a725)
          & ~ c1_1(a725) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a727)
          & ~ c0_1(a727)
          & ~ c2_1(a727) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a730)
          & c3_1(a730)
          & ~ c2_1(a730) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a731)
          & ~ c0_1(a731)
          & ~ c3_1(a731) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a732)
          & c3_1(a732)
          & ~ c1_1(a732) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a734)
          & ~ c1_1(a734)
          & ~ c3_1(a734) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c2_1(a739)
          & c3_1(a739)
          & ~ c1_1(a739) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a741)
          & c3_1(a741)
          & ~ c0_1(a741) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a747)
          & ~ c2_1(a747)
          & ~ c3_1(a747) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a748)
          & c3_1(a748)
          & ~ c0_1(a748) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a756)
          & c2_1(a756)
          & ~ c3_1(a756) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a757)
          & c1_1(a757)
          & ~ c2_1(a757) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a762)
          & c3_1(a762)
          & ~ c2_1(a762) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a764)
          & c2_1(a764)
          & ~ c1_1(a764) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a773)
          & c1_1(a773)
          & ~ c3_1(a773) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c2_1(a780)
          & ~ c1_1(a780)
          & ~ c3_1(a780) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a705)
          & c1_1(a705)
          & c2_1(a705) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a709)
          & c2_1(a709)
          & c3_1(a709) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a714)
          & c2_1(a714)
          & c3_1(a714) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a723)
          & c1_1(a723)
          & c3_1(a723) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | hskp28
        | hskp0 )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | hskp1
        | hskp2 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c3_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | ~ c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | ~ c2_1(X4)
              | ~ c3_1(X4) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c2_1(X6)
              | c3_1(X6) ) )
        | hskp29 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | ~ c2_1(X8)
              | ~ c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c0_1(X9)
              | ~ c1_1(X9)
              | ~ c3_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | ~ c0_1(X11)
              | ~ c3_1(X11) ) )
        | hskp3 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c2_1(X14)
              | ~ c3_1(X14) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c2_1(X17)
              | c3_1(X17)
              | ~ c1_1(X17) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c3_1(X19)
              | ~ c2_1(X19) ) )
        | hskp4 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | ~ c2_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c1_1(X22)
              | ~ c2_1(X22)
              | ~ c3_1(X22) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c2_1(X23) ) )
        | hskp4
        | hskp5 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | ~ c0_1(X26)
              | ~ c2_1(X26) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | ~ c0_1(X28)
              | ~ c2_1(X28) ) )
        | hskp30 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c1_1(X29)
              | ~ c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c3_1(X30)
              | ~ c0_1(X30) ) )
        | hskp29 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c1_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | ~ c1_1(X32)
              | ~ c3_1(X32) ) )
        | hskp6 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c1_1(X33)
              | ~ c3_1(X33) ) )
        | hskp7
        | hskp8 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c2_1(X35)
              | ~ c0_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c0_1(X36)
              | ~ c2_1(X36)
              | ~ c3_1(X36) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | c3_1(X37) ) )
        | hskp9
        | hskp10 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | c2_1(X39)
              | ~ c0_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | ~ c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c0_1(X43)
              | ~ c1_1(X43)
              | ~ c2_1(X43) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | ~ c2_1(X45)
              | ~ c3_1(X45) ) )
        | hskp11 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | ~ c0_1(X47)
              | ~ c1_1(X47) ) )
        | hskp28 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c2_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | ~ c1_1(X49)
              | ~ c3_1(X49) ) )
        | hskp31 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c2_1(X50)
              | ~ c1_1(X50) ) )
        | hskp1
        | hskp12 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c2_1(X51)
              | ~ c1_1(X51) ) )
        | hskp8
        | hskp13 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c2_1(X52)
              | ~ c3_1(X52) ) )
        | hskp30
        | hskp7 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c2_1(X53)
              | ~ c3_1(X53) ) )
        | hskp14
        | hskp15 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c1_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | ~ c0_1(X55)
              | ~ c3_1(X55) ) )
        | hskp16 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c1_1(X56) ) )
        | hskp15
        | hskp17 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | c3_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) )
        | hskp29 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c3_1(X59)
              | ~ c2_1(X59) ) )
        | hskp4
        | hskp3 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | hskp28
        | hskp18 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | ~ c0_1(X62)
              | ~ c3_1(X62) ) )
        | hskp2 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | hskp19 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c1_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | hskp28 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c1_1(X67)
              | ~ c3_1(X67) ) )
        | hskp1
        | hskp8 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c1_1(X68)
              | ~ c3_1(X68) ) )
        | hskp18
        | hskp17 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | ~ c2_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c3_1(X70)
              | ~ c1_1(X70) ) )
        | hskp20 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c0_1(X71)
              | ~ c2_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | ~ c0_1(X72)
              | ~ c2_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | ~ c1_1(X73)
              | ~ c2_1(X73) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( c0_1(X74)
              | ~ c2_1(X74)
              | ~ c3_1(X74) ) )
        | hskp21
        | hskp17 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c3_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | c3_1(X77)
              | ~ c1_1(X77) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | c3_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c2_1(X79) ) )
        | hskp17 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c0_1(X80) ) )
        | hskp30
        | hskp18 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c2_1(X81)
              | ~ c0_1(X81) ) )
        | hskp6
        | hskp13 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | ~ c0_1(X82) ) )
        | hskp16
        | hskp22 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c2_1(X83)
              | ~ c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c0_1(X84)
              | ~ c3_1(X84) ) )
        | hskp23 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c2_1(X85)
              | ~ c3_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c1_1(X86)
              | ~ c2_1(X86) ) ) )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c2_1(X87)
              | ~ c3_1(X87) ) )
        | hskp14
        | hskp17 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c3_1(X88)
              | ~ c0_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | ~ c2_1(X89)
              | ~ c3_1(X89) ) )
        | hskp4 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | c3_1(X90)
              | ~ c2_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c0_1(X91) ) )
        | hskp13 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c3_1(X92)
              | ~ c2_1(X92) ) )
        | hskp24
        | hskp18 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | ~ c0_1(X93)
              | ~ c3_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | ~ c2_1(X94)
              | ~ c3_1(X94) ) )
        | hskp25 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c0_1(X95)
              | ~ c3_1(X95) ) )
        | hskp29
        | hskp5 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | hskp0
        | hskp5 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c2_1(X97)
              | ~ c3_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | hskp14 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | hskp30
        | hskp22 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | c3_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | hskp16 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | c3_1(X102)
              | ~ c1_1(X102) ) )
        | hskp26
        | hskp11 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | c3_1(X103)
              | ~ c1_1(X103) ) )
        | hskp29
        | hskp13 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | ~ c0_1(X104)
              | ~ c1_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | ~ c0_1(X105)
              | ~ c1_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c0_1(X106)
              | ~ c2_1(X106) ) ) )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | ~ c0_1(X107)
              | ~ c1_1(X107) ) )
        | hskp28
        | hskp31 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c0_1(X108)
              | ~ c1_1(X108) ) )
        | hskp31
        | hskp27 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c0_1(X109)
              | ~ c1_1(X109) ) )
        | hskp16
        | hskp17 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | ~ c0_1(X110)
              | ~ c1_1(X110) ) )
        | hskp19
        | hskp8 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c3_1(X111)
              | ~ c0_1(X111)
              | ~ c1_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c2_1(X112)
              | ~ c3_1(X112) ) )
        | hskp2 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c3_1(X113)
              | ~ c0_1(X113)
              | ~ c1_1(X113) ) )
        | hskp7
        | hskp27 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c3_1(X114)
              | ~ c0_1(X114)
              | ~ c2_1(X114) ) )
        | hskp31
        | hskp1 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c3_1(X115)
              | ~ c1_1(X115)
              | ~ c2_1(X115) ) )
        | hskp8
        | hskp0 )
      & ( hskp23
        | hskp30
        | hskp17 )
      & ( hskp25
        | hskp29
        | hskp9 )
      & ( hskp25
        | hskp18
        | hskp12 )
      & ( hskp6
        | hskp1
        | hskp21 )
      & ( hskp6
        | hskp8
        | hskp18 )
      & ( hskp16
        | hskp24
        | hskp4 )
      & ( hskp24
        | hskp1
        | hskp2 )
      & ( hskp7
        | hskp14
        | hskp8 )
      & ( hskp29
        | hskp18
        | hskp10 )
      & ( hskp9
        | hskp20
        | hskp18 )
      & ( hskp22
        | hskp8
        | hskp11 )
      & ( hskp18
        | hskp11
        | hskp5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c0_1(a706)
            & ~ c1_1(a706)
            & ~ c2_1(a706) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a707)
            & ~ c1_1(a707)
            & ~ c2_1(a707) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a708)
            & ~ c0_1(a708)
            & ~ c3_1(a708) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c1_1(a710)
            & ~ c2_1(a710)
            & ~ c3_1(a710) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a711)
            & ~ c1_1(a711)
            & ~ c3_1(a711) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a713)
            & ~ c2_1(a713)
            & ~ c3_1(a713) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a716)
            & c2_1(a716)
            & ~ c3_1(a716) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a717)
            & ~ c2_1(a717)
            & ~ c3_1(a717) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a718)
            & ~ c0_1(a718)
            & ~ c2_1(a718) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a719)
            & c2_1(a719)
            & ~ c0_1(a719) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c3_1(a720)
            & ~ c1_1(a720)
            & ~ c2_1(a720) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a721)
            & ~ c0_1(a721)
            & ~ c1_1(a721) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a725)
            & ~ c0_1(a725)
            & ~ c1_1(a725) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a727)
            & ~ c0_1(a727)
            & ~ c2_1(a727) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a730)
            & c3_1(a730)
            & ~ c2_1(a730) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a731)
            & ~ c0_1(a731)
            & ~ c3_1(a731) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a732)
            & c3_1(a732)
            & ~ c1_1(a732) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a734)
            & ~ c1_1(a734)
            & ~ c3_1(a734) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c2_1(a739)
            & c3_1(a739)
            & ~ c1_1(a739) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a741)
            & c3_1(a741)
            & ~ c0_1(a741) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a747)
            & ~ c2_1(a747)
            & ~ c3_1(a747) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a748)
            & c3_1(a748)
            & ~ c0_1(a748) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a756)
            & c2_1(a756)
            & ~ c3_1(a756) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a757)
            & c1_1(a757)
            & ~ c2_1(a757) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a762)
            & c3_1(a762)
            & ~ c2_1(a762) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a764)
            & c2_1(a764)
            & ~ c1_1(a764) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a773)
            & c1_1(a773)
            & ~ c3_1(a773) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c2_1(a780)
            & ~ c1_1(a780)
            & ~ c3_1(a780) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a705)
            & c1_1(a705)
            & c2_1(a705) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a709)
            & c2_1(a709)
            & c3_1(a709) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a714)
            & c2_1(a714)
            & c3_1(a714) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a723)
            & c1_1(a723)
            & c3_1(a723) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | hskp28
          | hskp0 )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | hskp1
          | hskp2 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | ~ c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | ~ c2_1(X4)
                | ~ c3_1(X4) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c2_1(X6)
                | c3_1(X6) ) )
          | hskp29 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | ~ c2_1(X8)
                | ~ c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | ~ c1_1(X9)
                | ~ c3_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | ~ c0_1(X11)
                | ~ c3_1(X11) ) )
          | hskp3 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c2_1(X14)
                | ~ c3_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c2_1(X17)
                | c3_1(X17)
                | ~ c1_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c3_1(X19)
                | ~ c2_1(X19) ) )
          | hskp4 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c2_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c2_1(X23) ) )
          | hskp4
          | hskp5 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | ~ c0_1(X26)
                | ~ c2_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | ~ c0_1(X28)
                | ~ c2_1(X28) ) )
          | hskp30 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c3_1(X30)
                | ~ c0_1(X30) ) )
          | hskp29 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c1_1(X32)
                | ~ c3_1(X32) ) )
          | hskp6 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c1_1(X33)
                | ~ c3_1(X33) ) )
          | hskp7
          | hskp8 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c2_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | ~ c2_1(X36)
                | ~ c3_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | c3_1(X37) ) )
          | hskp9
          | hskp10 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c2_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | ~ c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | ~ c1_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c2_1(X45)
                | ~ c3_1(X45) ) )
          | hskp11 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | ~ c0_1(X47)
                | ~ c1_1(X47) ) )
          | hskp28 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | ~ c1_1(X49)
                | ~ c3_1(X49) ) )
          | hskp31 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c2_1(X50)
                | ~ c1_1(X50) ) )
          | hskp1
          | hskp12 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c1_1(X51) ) )
          | hskp8
          | hskp13 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c2_1(X52)
                | ~ c3_1(X52) ) )
          | hskp30
          | hskp7 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp14
          | hskp15 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c0_1(X55)
                | ~ c3_1(X55) ) )
          | hskp16 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c1_1(X56) ) )
          | hskp15
          | hskp17 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c3_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | hskp29 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c2_1(X59) ) )
          | hskp4
          | hskp3 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | hskp28
          | hskp18 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c0_1(X62)
                | ~ c3_1(X62) ) )
          | hskp2 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | hskp19 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | hskp28 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c1_1(X67)
                | ~ c3_1(X67) ) )
          | hskp1
          | hskp8 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c1_1(X68)
                | ~ c3_1(X68) ) )
          | hskp18
          | hskp17 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c3_1(X70)
                | ~ c1_1(X70) ) )
          | hskp20 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | ~ c1_1(X73)
                | ~ c2_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c0_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp21
          | hskp17 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c3_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | c3_1(X77)
                | ~ c1_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c2_1(X79) ) )
          | hskp17 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c0_1(X80) ) )
          | hskp30
          | hskp18 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c2_1(X81)
                | ~ c0_1(X81) ) )
          | hskp6
          | hskp13 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | ~ c0_1(X82) ) )
          | hskp16
          | hskp22 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c2_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c0_1(X84)
                | ~ c3_1(X84) ) )
          | hskp23 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c2_1(X85)
                | ~ c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c1_1(X86)
                | ~ c2_1(X86) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp14
          | hskp17 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c3_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) )
          | hskp4 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c3_1(X90)
                | ~ c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c0_1(X91) ) )
          | hskp13 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c3_1(X92)
                | ~ c2_1(X92) ) )
          | hskp24
          | hskp18 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c0_1(X93)
                | ~ c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) )
          | hskp25 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c0_1(X95)
                | ~ c3_1(X95) ) )
          | hskp29
          | hskp5 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | hskp0
          | hskp5 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp14 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp30
          | hskp22 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c3_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp16 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | c3_1(X102)
                | ~ c1_1(X102) ) )
          | hskp26
          | hskp11 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | c3_1(X103)
                | ~ c1_1(X103) ) )
          | hskp29
          | hskp13 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c0_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c2_1(X106) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c0_1(X107)
                | ~ c1_1(X107) ) )
          | hskp28
          | hskp31 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c0_1(X108)
                | ~ c1_1(X108) ) )
          | hskp31
          | hskp27 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c0_1(X109)
                | ~ c1_1(X109) ) )
          | hskp16
          | hskp17 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | ~ c0_1(X110)
                | ~ c1_1(X110) ) )
          | hskp19
          | hskp8 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | ~ c0_1(X111)
                | ~ c1_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c2_1(X112)
                | ~ c3_1(X112) ) )
          | hskp2 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | ~ c0_1(X113)
                | ~ c1_1(X113) ) )
          | hskp7
          | hskp27 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c0_1(X114)
                | ~ c2_1(X114) ) )
          | hskp31
          | hskp1 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | ~ c1_1(X115)
                | ~ c2_1(X115) ) )
          | hskp8
          | hskp0 )
        & ( hskp23
          | hskp30
          | hskp17 )
        & ( hskp25
          | hskp29
          | hskp9 )
        & ( hskp25
          | hskp18
          | hskp12 )
        & ( hskp6
          | hskp1
          | hskp21 )
        & ( hskp6
          | hskp8
          | hskp18 )
        & ( hskp16
          | hskp24
          | hskp4 )
        & ( hskp24
          | hskp1
          | hskp2 )
        & ( hskp7
          | hskp14
          | hskp8 )
        & ( hskp29
          | hskp18
          | hskp10 )
        & ( hskp9
          | hskp20
          | hskp18 )
        & ( hskp22
          | hskp8
          | hskp11 )
        & ( hskp18
          | hskp11
          | hskp5 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a706)
        & ~ c1_1(a706)
        & ~ c2_1(a706) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a707)
        & ~ c1_1(a707)
        & ~ c2_1(a707) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a708)
        & ~ c0_1(a708)
        & ~ c3_1(a708) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a710)
        & ~ c2_1(a710)
        & ~ c3_1(a710) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a711)
        & ~ c1_1(a711)
        & ~ c3_1(a711) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a713)
        & ~ c2_1(a713)
        & ~ c3_1(a713) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a716)
        & c2_1(a716)
        & ~ c3_1(a716) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a717)
        & ~ c2_1(a717)
        & ~ c3_1(a717) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a718)
        & ~ c0_1(a718)
        & ~ c2_1(a718) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a719)
        & c2_1(a719)
        & ~ c0_1(a719) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a720)
        & ~ c1_1(a720)
        & ~ c2_1(a720) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a721)
        & ~ c0_1(a721)
        & ~ c1_1(a721) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a725)
        & ~ c0_1(a725)
        & ~ c1_1(a725) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a727)
        & ~ c0_1(a727)
        & ~ c2_1(a727) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a730)
        & c3_1(a730)
        & ~ c2_1(a730) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a731)
        & ~ c0_1(a731)
        & ~ c3_1(a731) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a732)
        & c3_1(a732)
        & ~ c1_1(a732) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a734)
        & ~ c1_1(a734)
        & ~ c3_1(a734) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a739)
        & c3_1(a739)
        & ~ c1_1(a739) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a741)
        & c3_1(a741)
        & ~ c0_1(a741) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a747)
        & ~ c2_1(a747)
        & ~ c3_1(a747) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a748)
        & c3_1(a748)
        & ~ c0_1(a748) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a756)
        & c2_1(a756)
        & ~ c3_1(a756) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a757)
        & c1_1(a757)
        & ~ c2_1(a757) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a762)
        & c3_1(a762)
        & ~ c2_1(a762) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a764)
        & c2_1(a764)
        & ~ c1_1(a764) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a773)
        & c1_1(a773)
        & ~ c3_1(a773) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a780)
        & ~ c1_1(a780)
        & ~ c3_1(a780) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a705)
        & c1_1(a705)
        & c2_1(a705) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a709)
        & c2_1(a709)
        & c3_1(a709) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a714)
        & c2_1(a714)
        & c3_1(a714) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a723)
        & c1_1(a723)
        & c3_1(a723) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | hskp28
      | hskp0 )
    & ( ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | c2_1(X1) ) )
      | hskp1
      | hskp2 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c3_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | ~ c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | ~ c2_1(X4)
            | ~ c3_1(X4) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c3_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c2_1(X6)
            | c3_1(X6) ) )
      | hskp29 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | ~ c2_1(X8)
            | ~ c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c0_1(X9)
            | ~ c1_1(X9)
            | ~ c3_1(X9) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c2_1(X11)
            | ~ c0_1(X11)
            | ~ c3_1(X11) ) )
      | hskp3 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | ~ c2_1(X14)
            | ~ c3_1(X14) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c2_1(X17)
            | c3_1(X17)
            | ~ c1_1(X17) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c3_1(X19)
            | ~ c2_1(X19) ) )
      | hskp4 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c1_1(X21)
            | ~ c2_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c2_1(X22)
            | ~ c3_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c2_1(X23) ) )
      | hskp4
      | hskp5 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | ~ c0_1(X26)
            | ~ c2_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | ~ c0_1(X28)
            | ~ c2_1(X28) ) )
      | hskp30 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c1_1(X29)
            | ~ c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | c3_1(X30)
            | ~ c0_1(X30) ) )
      | hskp29 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c1_1(X31)
            | ~ c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | ~ c1_1(X32)
            | ~ c3_1(X32) ) )
      | hskp6 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c1_1(X33)
            | ~ c3_1(X33) ) )
      | hskp7
      | hskp8 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | c2_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | ~ c2_1(X36)
            | ~ c3_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | c3_1(X37) ) )
      | hskp9
      | hskp10 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | c2_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c2_1(X40)
            | ~ c3_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | ~ c2_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | ~ c1_1(X43)
            | ~ c2_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c2_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c2_1(X45)
            | ~ c3_1(X45) ) )
      | hskp11 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c2_1(X46)
            | ~ c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | ~ c0_1(X47)
            | ~ c1_1(X47) ) )
      | hskp28 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c2_1(X48)
            | ~ c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | ~ c1_1(X49)
            | ~ c3_1(X49) ) )
      | hskp31 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c2_1(X50)
            | ~ c1_1(X50) ) )
      | hskp1
      | hskp12 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c2_1(X51)
            | ~ c1_1(X51) ) )
      | hskp8
      | hskp13 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c2_1(X52)
            | ~ c3_1(X52) ) )
      | hskp30
      | hskp7 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c2_1(X53)
            | ~ c3_1(X53) ) )
      | hskp14
      | hskp15 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | c3_1(X54)
            | ~ c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | ~ c0_1(X55)
            | ~ c3_1(X55) ) )
      | hskp16 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c3_1(X56)
            | ~ c1_1(X56) ) )
      | hskp15
      | hskp17 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | c3_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c2_1(X58)
            | ~ c3_1(X58) ) )
      | hskp29 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | c3_1(X59)
            | ~ c2_1(X59) ) )
      | hskp4
      | hskp3 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | hskp28
      | hskp18 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | ~ c0_1(X62)
            | ~ c3_1(X62) ) )
      | hskp2 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | ~ c1_1(X63)
            | ~ c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | ~ c1_1(X64)
            | ~ c3_1(X64) ) )
      | hskp19 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c1_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | ~ c2_1(X66)
            | ~ c3_1(X66) ) )
      | hskp28 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c0_1(X67)
            | ~ c1_1(X67)
            | ~ c3_1(X67) ) )
      | hskp1
      | hskp8 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c1_1(X68)
            | ~ c3_1(X68) ) )
      | hskp18
      | hskp17 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | ~ c2_1(X69)
            | ~ c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | c3_1(X70)
            | ~ c1_1(X70) ) )
      | hskp20 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | ~ c2_1(X71)
            | ~ c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | ~ c0_1(X72)
            | ~ c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | ~ c1_1(X73)
            | ~ c2_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( c0_1(X74)
            | ~ c2_1(X74)
            | ~ c3_1(X74) ) )
      | hskp21
      | hskp17 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c2_1(X75)
            | c3_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c3_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | c3_1(X77)
            | ~ c1_1(X77) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | c3_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c2_1(X79) ) )
      | hskp17 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | ~ c0_1(X80) ) )
      | hskp30
      | hskp18 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | c2_1(X81)
            | ~ c0_1(X81) ) )
      | hskp6
      | hskp13 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c2_1(X82)
            | ~ c0_1(X82) ) )
      | hskp16
      | hskp22 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c2_1(X83)
            | ~ c3_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c0_1(X84)
            | ~ c3_1(X84) ) )
      | hskp23 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c2_1(X85)
            | ~ c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | ~ c1_1(X86)
            | ~ c2_1(X86) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c2_1(X87)
            | ~ c3_1(X87) ) )
      | hskp14
      | hskp17 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | c3_1(X88)
            | ~ c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | ~ c2_1(X89)
            | ~ c3_1(X89) ) )
      | hskp4 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | c3_1(X90)
            | ~ c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c3_1(X91)
            | ~ c0_1(X91) ) )
      | hskp13 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | c3_1(X92)
            | ~ c2_1(X92) ) )
      | hskp24
      | hskp18 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | ~ c0_1(X93)
            | ~ c3_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c0_1(X94)
            | ~ c2_1(X94)
            | ~ c3_1(X94) ) )
      | hskp25 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | ~ c0_1(X95)
            | ~ c3_1(X95) ) )
      | hskp29
      | hskp5 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c0_1(X96)
            | ~ c3_1(X96) ) )
      | hskp0
      | hskp5 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | ~ c2_1(X97)
            | ~ c3_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c1_1(X98) ) )
      | hskp14 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | hskp30
      | hskp22 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c3_1(X100)
            | ~ c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c0_1(X101)
            | ~ c1_1(X101) ) )
      | hskp16 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | c3_1(X102)
            | ~ c1_1(X102) ) )
      | hskp26
      | hskp11 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | c3_1(X103)
            | ~ c1_1(X103) ) )
      | hskp29
      | hskp13 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | ~ c0_1(X104)
            | ~ c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c3_1(X105)
            | ~ c0_1(X105)
            | ~ c1_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c0_1(X106)
            | ~ c2_1(X106) ) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | ~ c0_1(X107)
            | ~ c1_1(X107) ) )
      | hskp28
      | hskp31 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | ~ c0_1(X108)
            | ~ c1_1(X108) ) )
      | hskp31
      | hskp27 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | ~ c0_1(X109)
            | ~ c1_1(X109) ) )
      | hskp16
      | hskp17 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | ~ c0_1(X110)
            | ~ c1_1(X110) ) )
      | hskp19
      | hskp8 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | ~ c0_1(X111)
            | ~ c1_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | ~ c2_1(X112)
            | ~ c3_1(X112) ) )
      | hskp2 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | ~ c0_1(X113)
            | ~ c1_1(X113) ) )
      | hskp7
      | hskp27 )
    & ( ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | ~ c0_1(X114)
            | ~ c2_1(X114) ) )
      | hskp31
      | hskp1 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | ~ c1_1(X115)
            | ~ c2_1(X115) ) )
      | hskp8
      | hskp0 )
    & ( hskp23
      | hskp30
      | hskp17 )
    & ( hskp25
      | hskp29
      | hskp9 )
    & ( hskp25
      | hskp18
      | hskp12 )
    & ( hskp6
      | hskp1
      | hskp21 )
    & ( hskp6
      | hskp8
      | hskp18 )
    & ( hskp16
      | hskp24
      | hskp4 )
    & ( hskp24
      | hskp1
      | hskp2 )
    & ( hskp7
      | hskp14
      | hskp8 )
    & ( hskp29
      | hskp18
      | hskp10 )
    & ( hskp9
      | hskp20
      | hskp18 )
    & ( hskp22
      | hskp8
      | hskp11 )
    & ( hskp18
      | hskp11
      | hskp5 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a706)
        & ~ c1_1(a706)
        & ~ c2_1(a706) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a707)
        & ~ c1_1(a707)
        & ~ c2_1(a707) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a708)
        & ~ c0_1(a708)
        & ~ c3_1(a708) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a710)
        & ~ c2_1(a710)
        & ~ c3_1(a710) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a711)
        & ~ c1_1(a711)
        & ~ c3_1(a711) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a713)
        & ~ c2_1(a713)
        & ~ c3_1(a713) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a716)
        & c2_1(a716)
        & ~ c3_1(a716) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a717)
        & ~ c2_1(a717)
        & ~ c3_1(a717) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a718)
        & ~ c0_1(a718)
        & ~ c2_1(a718) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a719)
        & c2_1(a719)
        & ~ c0_1(a719) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a720)
        & ~ c1_1(a720)
        & ~ c2_1(a720) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a721)
        & ~ c0_1(a721)
        & ~ c1_1(a721) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a725)
        & ~ c0_1(a725)
        & ~ c1_1(a725) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a727)
        & ~ c0_1(a727)
        & ~ c2_1(a727) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a730)
        & c3_1(a730)
        & ~ c2_1(a730) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a731)
        & ~ c0_1(a731)
        & ~ c3_1(a731) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a732)
        & c3_1(a732)
        & ~ c1_1(a732) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a734)
        & ~ c1_1(a734)
        & ~ c3_1(a734) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a739)
        & c3_1(a739)
        & ~ c1_1(a739) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a741)
        & c3_1(a741)
        & ~ c0_1(a741) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a747)
        & ~ c2_1(a747)
        & ~ c3_1(a747) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a748)
        & c3_1(a748)
        & ~ c0_1(a748) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a756)
        & c2_1(a756)
        & ~ c3_1(a756) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a757)
        & c1_1(a757)
        & ~ c2_1(a757) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a762)
        & c3_1(a762)
        & ~ c2_1(a762) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a764)
        & c2_1(a764)
        & ~ c1_1(a764) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a773)
        & c1_1(a773)
        & ~ c3_1(a773) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a780)
        & ~ c1_1(a780)
        & ~ c3_1(a780) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a705)
        & c1_1(a705)
        & c2_1(a705) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a709)
        & c2_1(a709)
        & c3_1(a709) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a714)
        & c2_1(a714)
        & c3_1(a714) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a723)
        & c1_1(a723)
        & c3_1(a723) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp28
      | hskp0 )
    & ( ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | c2_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | ~ c0_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c3_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c0_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c1_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c0_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | hskp1
      | hskp12 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp8
      | hskp13 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp30
      | hskp7 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp14
      | hskp15 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | ~ c0_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | hskp15
      | hskp17 )
    & ( ! [X57] :
          ( c0_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp4
      | hskp3 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp28
      | hskp18 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | ~ c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c1_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c1_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp1
      | hskp8 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp18
      | hskp17 )
    & ( ! [X69] :
          ( c0_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp21
      | hskp17 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | hskp30
      | hskp18 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c2_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp6
      | hskp13 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | hskp16
      | hskp22 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp14
      | hskp17 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c3_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp24
      | hskp18 )
    & ( ! [X93] :
          ( c1_1(X93)
          | ~ c0_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp0
      | hskp5 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp30
      | hskp22 )
    & ( ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X102] :
          ( c2_1(X102)
          | c3_1(X102)
          | ~ c1_1(X102)
          | ~ ndr1_0 )
      | hskp26
      | hskp11 )
    & ( ! [X103] :
          ( c2_1(X103)
          | c3_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | hskp29
      | hskp13 )
    & ( ! [X104] :
          ( c2_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp28
      | hskp31 )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | hskp31
      | hskp27 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | hskp19
      | hskp8 )
    & ( ! [X111] :
          ( c3_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ c2_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X113] :
          ( c3_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | hskp7
      | hskp27 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0 )
      | hskp31
      | hskp1 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c1_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp8
      | hskp0 )
    & ( hskp23
      | hskp30
      | hskp17 )
    & ( hskp25
      | hskp29
      | hskp9 )
    & ( hskp25
      | hskp18
      | hskp12 )
    & ( hskp6
      | hskp1
      | hskp21 )
    & ( hskp6
      | hskp8
      | hskp18 )
    & ( hskp16
      | hskp24
      | hskp4 )
    & ( hskp24
      | hskp1
      | hskp2 )
    & ( hskp7
      | hskp14
      | hskp8 )
    & ( hskp29
      | hskp18
      | hskp10 )
    & ( hskp9
      | hskp20
      | hskp18 )
    & ( hskp22
      | hskp8
      | hskp11 )
    & ( hskp18
      | hskp11
      | hskp5 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a706)
        & ~ c1_1(a706)
        & ~ c2_1(a706) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a707)
        & ~ c1_1(a707)
        & ~ c2_1(a707) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a708)
        & ~ c0_1(a708)
        & ~ c3_1(a708) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a710)
        & ~ c2_1(a710)
        & ~ c3_1(a710) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a711)
        & ~ c1_1(a711)
        & ~ c3_1(a711) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a713)
        & ~ c2_1(a713)
        & ~ c3_1(a713) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a716)
        & c2_1(a716)
        & ~ c3_1(a716) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a717)
        & ~ c2_1(a717)
        & ~ c3_1(a717) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a718)
        & ~ c0_1(a718)
        & ~ c2_1(a718) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a719)
        & c2_1(a719)
        & ~ c0_1(a719) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a720)
        & ~ c1_1(a720)
        & ~ c2_1(a720) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a721)
        & ~ c0_1(a721)
        & ~ c1_1(a721) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a725)
        & ~ c0_1(a725)
        & ~ c1_1(a725) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a727)
        & ~ c0_1(a727)
        & ~ c2_1(a727) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a730)
        & c3_1(a730)
        & ~ c2_1(a730) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a731)
        & ~ c0_1(a731)
        & ~ c3_1(a731) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a732)
        & c3_1(a732)
        & ~ c1_1(a732) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a734)
        & ~ c1_1(a734)
        & ~ c3_1(a734) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a739)
        & c3_1(a739)
        & ~ c1_1(a739) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a741)
        & c3_1(a741)
        & ~ c0_1(a741) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a747)
        & ~ c2_1(a747)
        & ~ c3_1(a747) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a748)
        & c3_1(a748)
        & ~ c0_1(a748) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a756)
        & c2_1(a756)
        & ~ c3_1(a756) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a757)
        & c1_1(a757)
        & ~ c2_1(a757) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a762)
        & c3_1(a762)
        & ~ c2_1(a762) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a764)
        & c2_1(a764)
        & ~ c1_1(a764) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a773)
        & c1_1(a773)
        & ~ c3_1(a773) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a780)
        & ~ c1_1(a780)
        & ~ c3_1(a780) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a705)
        & c1_1(a705)
        & c2_1(a705) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a709)
        & c2_1(a709)
        & c3_1(a709) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a714)
        & c2_1(a714)
        & c3_1(a714) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a723)
        & c1_1(a723)
        & c3_1(a723) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp28
      | hskp0 )
    & ( ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | c2_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | ~ c0_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c2_1(X17)
          | c3_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c3_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c0_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c1_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c2_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c0_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c2_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | hskp1
      | hskp12 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp8
      | hskp13 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp30
      | hskp7 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp14
      | hskp15 )
    & ( ! [X54] :
          ( c0_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | ~ c0_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | hskp15
      | hskp17 )
    & ( ! [X57] :
          ( c0_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp4
      | hskp3 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp28
      | hskp18 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | ~ c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X63] :
          ( c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c1_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X67] :
          ( c0_1(X67)
          | ~ c1_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp1
      | hskp8 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp18
      | hskp17 )
    & ( ! [X69] :
          ( c0_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c1_1(X70)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( c0_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp21
      | hskp17 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c2_1(X77)
          | c3_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | hskp30
      | hskp18 )
    & ( ! [X81] :
          ( c1_1(X81)
          | c2_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp6
      | hskp13 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | hskp16
      | hskp22 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp14
      | hskp17 )
    & ( ! [X88] :
          ( c1_1(X88)
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c3_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp24
      | hskp18 )
    & ( ! [X93] :
          ( c1_1(X93)
          | ~ c0_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp0
      | hskp5 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp30
      | hskp22 )
    & ( ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X102] :
          ( c2_1(X102)
          | c3_1(X102)
          | ~ c1_1(X102)
          | ~ ndr1_0 )
      | hskp26
      | hskp11 )
    & ( ! [X103] :
          ( c2_1(X103)
          | c3_1(X103)
          | ~ c1_1(X103)
          | ~ ndr1_0 )
      | hskp29
      | hskp13 )
    & ( ! [X104] :
          ( c2_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( c2_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp28
      | hskp31 )
    & ( ! [X108] :
          ( c2_1(X108)
          | ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | hskp31
      | hskp27 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( ! [X110] :
          ( c2_1(X110)
          | ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | hskp19
      | hskp8 )
    & ( ! [X111] :
          ( c3_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c0_1(X112)
          | ~ c2_1(X112)
          | ~ c3_1(X112)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X113] :
          ( c3_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | hskp7
      | hskp27 )
    & ( ! [X114] :
          ( c3_1(X114)
          | ~ c0_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0 )
      | hskp31
      | hskp1 )
    & ( ! [X115] :
          ( c3_1(X115)
          | ~ c1_1(X115)
          | ~ c2_1(X115)
          | ~ ndr1_0 )
      | hskp8
      | hskp0 )
    & ( hskp23
      | hskp30
      | hskp17 )
    & ( hskp25
      | hskp29
      | hskp9 )
    & ( hskp25
      | hskp18
      | hskp12 )
    & ( hskp6
      | hskp1
      | hskp21 )
    & ( hskp6
      | hskp8
      | hskp18 )
    & ( hskp16
      | hskp24
      | hskp4 )
    & ( hskp24
      | hskp1
      | hskp2 )
    & ( hskp7
      | hskp14
      | hskp8 )
    & ( hskp29
      | hskp18
      | hskp10 )
    & ( hskp9
      | hskp20
      | hskp18 )
    & ( hskp22
      | hskp8
      | hskp11 )
    & ( hskp18
      | hskp11
      | hskp5 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp18
    | hskp11
    | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp22
    | hskp8
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp7
    | hskp14
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp6
    | hskp8
    | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X115] :
      ( c3_1(X115)
      | ~ c1_1(X115)
      | ~ c2_1(X115)
      | ~ ndr1_0
      | hskp8
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X111,X112] :
      ( c3_1(X111)
      | ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | ~ c0_1(X112)
      | ~ c2_1(X112)
      | ~ c3_1(X112)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X110] :
      ( c2_1(X110)
      | ~ c0_1(X110)
      | ~ c1_1(X110)
      | ~ ndr1_0
      | hskp19
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X106,X104,X105] :
      ( c2_1(X104)
      | ~ c0_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | c3_1(X105)
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | ~ ndr1_0
      | c3_1(X106)
      | ~ c0_1(X106)
      | ~ c2_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X102] :
      ( c2_1(X102)
      | c3_1(X102)
      | ~ c1_1(X102)
      | ~ ndr1_0
      | hskp26
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X96] :
      ( c1_1(X96)
      | ~ c0_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | hskp0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X95] :
      ( c1_1(X95)
      | ~ c0_1(X95)
      | ~ c3_1(X95)
      | ~ ndr1_0
      | hskp29
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X92] :
      ( c1_1(X92)
      | c3_1(X92)
      | ~ c2_1(X92)
      | ~ ndr1_0
      | hskp24
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | c3_1(X86)
      | ~ c1_1(X86)
      | ~ c2_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | c1_1(X84)
      | ~ c0_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X82] :
      ( c1_1(X82)
      | c2_1(X82)
      | ~ c0_1(X82)
      | ~ ndr1_0
      | hskp16
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X81] :
      ( c1_1(X81)
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ ndr1_0
      | hskp6
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X80] :
      ( c1_1(X80)
      | c2_1(X80)
      | ~ c0_1(X80)
      | ~ ndr1_0
      | hskp30
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X76,X77,X75] :
      ( c1_1(X75)
      | c2_1(X75)
      | c3_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | c3_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | c2_1(X77)
      | c3_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X72,X73,X71] :
      ( c0_1(X71)
      | ~ c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X70,X69] :
      ( c0_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c2_1(X70)
      | c3_1(X70)
      | ~ c1_1(X70)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X68] :
      ( c0_1(X68)
      | ~ c1_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | hskp18
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X67] :
      ( c0_1(X67)
      | ~ c1_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | hskp1
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X62,X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | ~ c0_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X52] :
      ( c0_1(X52)
      | c2_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | hskp30
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X50] :
      ( c0_1(X50)
      | c2_1(X50)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | hskp1
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c2_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | ~ c0_1(X43)
      | ~ c1_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | c2_1(X39)
      | ~ c0_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X36,X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c2_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | ~ c0_1(X36)
      | ~ c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X33] :
      ( c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | hskp7
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c1_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | ~ c0_1(X28)
      | ~ c2_1(X28)
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c3_1(X26)
      | ~ c0_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c2_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | c3_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X16,X17,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | c0_1(X16)
      | c1_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | c2_1(X17)
      | c3_1(X17)
      | ~ c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X14,X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | ~ c2_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ! [X8,X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c0_1(X8)
      | ~ c2_1(X8)
      | ~ c3_1(X8)
      | ~ ndr1_0
      | ~ c0_1(X9)
      | ~ c1_1(X9)
      | ~ c3_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0
      | c0_1(X6)
      | c2_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ! [X2,X3,X4] :
      ( c0_1(X2)
      | c1_1(X2)
      | c3_1(X2)
      | ~ ndr1_0
      | c0_1(X3)
      | c1_1(X3)
      | ~ c2_1(X3)
      | ~ ndr1_0
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp30
    | c3_1(a714) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp30
    | c2_1(a714) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp30
    | c0_1(a714) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp29
    | c3_1(a709) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp29
    | c2_1(a709) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp29
    | c1_1(a709) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp26
    | ~ c3_1(a773) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp26
    | c1_1(a773) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp26
    | c0_1(a773) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp24
    | ~ c2_1(a762) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp24
    | c3_1(a762) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp24
    | c0_1(a762) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp23
    | ~ c2_1(a757) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp23
    | c1_1(a757) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp23
    | c0_1(a757) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp22
    | ~ c3_1(a756) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp22
    | c2_1(a756) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp22
    | c1_1(a756) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp20
    | ~ c3_1(a747) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp20
    | ~ c2_1(a747) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp20
    | c1_1(a747) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp19
    | ~ c0_1(a741) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp19
    | c3_1(a741) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp19
    | c1_1(a741) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp18
    | ~ c1_1(a739) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp18
    | c3_1(a739) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp18
    | c2_1(a739) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    ( ~ hskp18
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp17
    | ~ c3_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp17
    | ~ c1_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp17
    | ~ c0_1(a734) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp16
    | ~ c1_1(a732) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp16
    | c3_1(a732) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp16
    | c0_1(a732) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp14
    | ~ c2_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp14
    | c3_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp14
    | c1_1(a730) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp13
    | ~ c2_1(a727) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp13
    | c3_1(a727) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp12
    | ~ c1_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp12
    | ~ c0_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp12
    | c2_1(a725) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp11
    | ~ c1_1(a721) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp11
    | ~ c0_1(a721) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp11
    | c3_1(a721) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp8
    | ~ c2_1(a718) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp8
    | ~ c0_1(a718) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp8
    | c1_1(a718) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp7
    | ~ c3_1(a717) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp7
    | ~ c2_1(a717) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp7
    | c0_1(a717) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp6
    | ~ c3_1(a716) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp6
    | c2_1(a716) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp6
    | c0_1(a716) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp5
    | ~ c3_1(a713) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp5
    | ~ c2_1(a713) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp5
    | ~ c0_1(a713) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ hskp5
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp4
    | ~ c3_1(a711) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp4
    | ~ c1_1(a711) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp4
    | c0_1(a711) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp2
    | ~ c3_1(a708) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp2
    | ~ c0_1(a708) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp2
    | c1_1(a708) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp1
    | ~ c2_1(a707) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp1
    | ~ c1_1(a707) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ hskp1
    | c0_1(a707) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ hskp0
    | ~ c2_1(a706) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( ~ hskp0
    | ~ c1_1(a706) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f212,plain,
    ( ~ hskp0
    | ~ c0_1(a706) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f214,plain,
    ! [X111,X112] :
      ( c3_1(X111)
      | ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | ~ c0_1(X112)
      | ~ c2_1(X112)
      | ~ c3_1(X112)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f215,plain,
    ! [X106,X104,X105] :
      ( c2_1(X104)
      | ~ c0_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | c3_1(X105)
      | ~ c0_1(X105)
      | ~ c1_1(X105)
      | c3_1(X106)
      | ~ c0_1(X106)
      | ~ c2_1(X106) ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f216,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | c3_1(X101)
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f221,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | c3_1(X86)
      | ~ c1_1(X86)
      | ~ c2_1(X86) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f222,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | c1_1(X84)
      | ~ c0_1(X84)
      | ~ c3_1(X84)
      | hskp23 ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f224,plain,
    ! [X76,X77,X75] :
      ( c1_1(X75)
      | c2_1(X75)
      | c3_1(X75)
      | ~ ndr1_0
      | c1_1(X76)
      | c3_1(X76)
      | ~ c0_1(X76)
      | c2_1(X77)
      | c3_1(X77)
      | ~ c1_1(X77) ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f225,plain,
    ! [X72,X73,X71] :
      ( c0_1(X71)
      | ~ c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c3_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72)
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | ~ c2_1(X73) ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f226,plain,
    ! [X70,X69] :
      ( c0_1(X69)
      | ~ c2_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | c2_1(X70)
      | c3_1(X70)
      | ~ c1_1(X70)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f229,plain,
    ! [X62,X61] :
      ( c0_1(X61)
      | ~ c1_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | ~ c0_1(X62)
      | ~ c3_1(X62)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f234,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c2_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f235,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | ~ c0_1(X43)
      | ~ c1_1(X43)
      | ~ c2_1(X43) ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f236,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | c2_1(X39)
      | ~ c0_1(X39)
      | c1_1(X40)
      | c2_1(X40)
      | ~ c3_1(X40) ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f237,plain,
    ! [X36,X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | c3_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c2_1(X35)
      | ~ c0_1(X35)
      | ~ c0_1(X36)
      | ~ c2_1(X36)
      | ~ c3_1(X36) ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f238,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c1_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f240,plain,
    ! [X28,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | ~ c0_1(X28)
      | ~ c2_1(X28)
      | hskp30 ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f241,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | c3_1(X26)
      | ~ c0_1(X26)
      | ~ c2_1(X26) ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f243,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c2_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | c3_1(X19)
      | ~ c2_1(X19)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f244,plain,
    ! [X16,X17,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | c0_1(X16)
      | c1_1(X16)
      | ~ c3_1(X16)
      | c2_1(X17)
      | c3_1(X17)
      | ~ c1_1(X17) ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f245,plain,
    ! [X14,X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | c0_1(X14)
      | ~ c2_1(X14)
      | ~ c3_1(X14) ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f247,plain,
    ! [X8,X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c0_1(X8)
      | ~ c2_1(X8)
      | ~ c3_1(X8)
      | ~ c0_1(X9)
      | ~ c1_1(X9)
      | ~ c3_1(X9) ),
    inference(duplicate_literal_removal,[],[f81]) ).

fof(f248,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0
      | c0_1(X6)
      | c2_1(X6)
      | c3_1(X6)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f82]) ).

fof(f249,plain,
    ! [X2,X3,X4] :
      ( c0_1(X2)
      | c1_1(X2)
      | c3_1(X2)
      | ~ ndr1_0
      | c0_1(X3)
      | c1_1(X3)
      | ~ c2_1(X3)
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ c3_1(X4) ),
    inference(duplicate_literal_removal,[],[f83]) ).

fof(f251,definition,
    ( spl0_1
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f254,definition,
    ( spl0_2
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f257,definition,
    ( spl0_3
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f259,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f257,f254,f251]) ).

fof(f261,definition,
    ( spl0_4
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f264,definition,
    ( spl0_5
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f266,plain,
    ( spl0_2
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f264,f261,f254]) ).

fof(f268,definition,
    ( spl0_6
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f278,definition,
    ( spl0_9
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f282,definition,
    ( spl0_10
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f285,definition,
    ( spl0_11
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f287,plain,
    ( spl0_4
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f10,f285,f282,f261]) ).

fof(f289,definition,
    ( spl0_12
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f292,definition,
    ( spl0_13
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f295,definition,
    ( spl0_14
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f299,definition,
    ( spl0_15
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f302,definition,
    ( spl0_16
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f306,definition,
    ( spl0_17
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f308,plain,
    ( spl0_3
    | spl0_4
    | spl0_17 ),
    inference(avatar_split_clause,[],[f13,f306,f261,f257]) ).

fof(f314,definition,
    ( spl0_19
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f322,definition,
    ( spl0_21
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f325,definition,
    ( spl0_22
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f328,definition,
    ( spl0_23
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f332,definition,
    ( spl0_24
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f335,definition,
    ( spl0_25
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f338,definition,
    ( spl0_26
  <=> ! [X115] :
        ( c3_1(X115)
        | ~ c2_1(X115)
        | ~ c1_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f339,plain,
    ( ! [X115] :
        ( ~ c2_1(X115)
        | c3_1(X115)
        | ~ c1_1(X115) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f340,plain,
    ( spl0_24
    | spl0_4
    | ~ spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f18,f338,f335,f261,f332]) ).

fof(f345,definition,
    ( spl0_28
  <=> ! [X114] :
        ( c3_1(X114)
        | ~ c2_1(X114)
        | ~ c0_1(X114) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X114] :
        ( ~ c2_1(X114)
        | c3_1(X114)
        | ~ c0_1(X114) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f352,definition,
    ( spl0_30
  <=> ! [X113] :
        ( c3_1(X113)
        | ~ c1_1(X113)
        | ~ c0_1(X113) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f353,plain,
    ( ! [X113] :
        ( c3_1(X113)
        | ~ c1_1(X113)
        | ~ c0_1(X113) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f356,definition,
    ( spl0_31
  <=> ! [X112] :
        ( ~ c0_1(X112)
        | ~ c3_1(X112)
        | ~ c2_1(X112) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f357,plain,
    ( ! [X112] :
        ( ~ c2_1(X112)
        | ~ c3_1(X112)
        | ~ c0_1(X112) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f358,plain,
    ( spl0_12
    | spl0_31
    | ~ spl0_25
    | spl0_30 ),
    inference(avatar_split_clause,[],[f214,f352,f335,f356,f289]) ).

fof(f360,definition,
    ( spl0_32
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f363,definition,
    ( spl0_33
  <=> ! [X110] :
        ( c2_1(X110)
        | ~ c1_1(X110)
        | ~ c0_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X110] :
        ( c2_1(X110)
        | ~ c1_1(X110)
        | ~ c0_1(X110) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f365,plain,
    ( spl0_4
    | spl0_32
    | ~ spl0_25
    | spl0_33 ),
    inference(avatar_split_clause,[],[f22,f363,f335,f360,f261]) ).

fof(f372,plain,
    ( spl0_28
    | spl0_30
    | ~ spl0_25
    | spl0_33 ),
    inference(avatar_split_clause,[],[f215,f363,f335,f352,f345]) ).

fof(f374,definition,
    ( spl0_35
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f377,definition,
    ( spl0_36
  <=> ! [X103] :
        ( c2_1(X103)
        | ~ c1_1(X103)
        | c3_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f378,plain,
    ( ! [X103] :
        ( c2_1(X103)
        | ~ c1_1(X103)
        | c3_1(X103) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f381,definition,
    ( spl0_37
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f383,plain,
    ( spl0_2
    | spl0_37
    | ~ spl0_25
    | spl0_36 ),
    inference(avatar_split_clause,[],[f28,f377,f335,f381,f254]) ).

fof(f385,definition,
    ( spl0_38
  <=> ! [X100] :
        ( c2_1(X100)
        | ~ c0_1(X100)
        | c3_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f386,plain,
    ( ! [X100] :
        ( c2_1(X100)
        | ~ c0_1(X100)
        | c3_1(X100) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f387,plain,
    ( spl0_16
    | spl0_30
    | ~ spl0_25
    | spl0_38 ),
    inference(avatar_split_clause,[],[f216,f385,f335,f352,f302]) ).

fof(f389,definition,
    ( spl0_39
  <=> ! [X99] :
        ( c1_1(X99)
        | ~ c3_1(X99)
        | ~ c2_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X99] :
        ( ~ c2_1(X99)
        | ~ c3_1(X99)
        | c1_1(X99) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f394,definition,
    ( spl0_40
  <=> ! [X96] :
        ( c1_1(X96)
        | ~ c3_1(X96)
        | ~ c0_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f395,plain,
    ( ! [X96] :
        ( ~ c3_1(X96)
        | c1_1(X96)
        | ~ c0_1(X96) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f396,plain,
    ( spl0_1
    | spl0_24
    | ~ spl0_25
    | spl0_40 ),
    inference(avatar_split_clause,[],[f32,f394,f335,f332,f251]) ).

fof(f397,plain,
    ( spl0_1
    | spl0_9
    | ~ spl0_25
    | spl0_40 ),
    inference(avatar_split_clause,[],[f33,f394,f335,f278,f251]) ).

fof(f400,definition,
    ( spl0_41
  <=> ! [X92] :
        ( c1_1(X92)
        | ~ c2_1(X92)
        | c3_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X92] :
        ( ~ c2_1(X92)
        | c1_1(X92)
        | c3_1(X92) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f402,plain,
    ( spl0_3
    | spl0_14
    | ~ spl0_25
    | spl0_41 ),
    inference(avatar_split_clause,[],[f35,f400,f335,f295,f257]) ).

fof(f405,definition,
    ( spl0_42
  <=> ! [X88] :
        ( c1_1(X88)
        | ~ c0_1(X88)
        | c3_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f406,plain,
    ( ! [X88] :
        ( c3_1(X88)
        | ~ c0_1(X88)
        | c1_1(X88) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f409,definition,
    ( spl0_43
  <=> ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | c2_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f410,plain,
    ( ! [X87] :
        ( c2_1(X87)
        | ~ c3_1(X87)
        | c1_1(X87) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f412,plain,
    ( spl0_26
    | ~ spl0_25
    | spl0_43 ),
    inference(avatar_split_clause,[],[f221,f409,f335,f338]) ).

fof(f413,plain,
    ( spl0_23
    | spl0_40
    | ~ spl0_25
    | spl0_43 ),
    inference(avatar_split_clause,[],[f222,f409,f335,f394,f328]) ).

fof(f415,definition,
    ( spl0_44
  <=> ! [X82] :
        ( c1_1(X82)
        | ~ c0_1(X82)
        | c2_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f416,plain,
    ( ! [X82] :
        ( c2_1(X82)
        | ~ c0_1(X82)
        | c1_1(X82) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f417,plain,
    ( spl0_5
    | spl0_16
    | ~ spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f41,f415,f335,f302,f264]) ).

fof(f418,plain,
    ( spl0_35
    | spl0_17
    | ~ spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f42,f415,f335,f306,f374]) ).

fof(f419,plain,
    ( spl0_3
    | spl0_22
    | ~ spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f43,f415,f335,f325,f257]) ).

fof(f421,definition,
    ( spl0_45
  <=> ! [X78] :
        ( c1_1(X78)
        | c3_1(X78)
        | c2_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X78] :
        ( c2_1(X78)
        | c3_1(X78)
        | c1_1(X78) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f424,plain,
    ( spl0_36
    | spl0_42
    | ~ spl0_25
    | spl0_45 ),
    inference(avatar_split_clause,[],[f224,f421,f335,f405,f377]) ).

fof(f426,definition,
    ( spl0_46
  <=> ! [X74] :
        ( c0_1(X74)
        | ~ c3_1(X74)
        | ~ c2_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f427,plain,
    ( ! [X74] :
        ( ~ c2_1(X74)
        | ~ c3_1(X74)
        | c0_1(X74) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f430,definition,
    ( spl0_47
  <=> ! [X73] :
        ( ~ c0_1(X73)
        | ~ c2_1(X73)
        | ~ c1_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f431,plain,
    ( ! [X73] :
        ( ~ c2_1(X73)
        | ~ c0_1(X73)
        | ~ c1_1(X73) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f432,plain,
    ( spl0_47
    | spl0_28
    | ~ spl0_25
    | spl0_46 ),
    inference(avatar_split_clause,[],[f225,f426,f335,f345,f430]) ).

fof(f433,plain,
    ( spl0_6
    | spl0_36
    | ~ spl0_25
    | spl0_46 ),
    inference(avatar_split_clause,[],[f226,f426,f335,f377,f268]) ).

fof(f435,definition,
    ( spl0_48
  <=> ! [X68] :
        ( c0_1(X68)
        | ~ c3_1(X68)
        | ~ c1_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f436,plain,
    ( ! [X68] :
        ( ~ c3_1(X68)
        | c0_1(X68)
        | ~ c1_1(X68) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f437,plain,
    ( spl0_21
    | spl0_3
    | ~ spl0_25
    | spl0_48 ),
    inference(avatar_split_clause,[],[f49,f435,f335,f257,f322]) ).

fof(f438,plain,
    ( spl0_4
    | spl0_13
    | ~ spl0_25
    | spl0_48 ),
    inference(avatar_split_clause,[],[f50,f435,f335,f292,f261]) ).

fof(f441,definition,
    ( spl0_49
  <=> ! [X64] :
        ( ~ c0_1(X64)
        | ~ c3_1(X64)
        | ~ c1_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f442,plain,
    ( ! [X64] :
        ( ~ c3_1(X64)
        | ~ c0_1(X64)
        | ~ c1_1(X64) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f444,plain,
    ( spl0_12
    | spl0_40
    | ~ spl0_25
    | spl0_48 ),
    inference(avatar_split_clause,[],[f229,f435,f335,f394,f289]) ).

fof(f453,definition,
    ( spl0_52
  <=> ! [X59] :
        ( c0_1(X59)
        | ~ c2_1(X59)
        | c3_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f454,plain,
    ( ! [X59] :
        ( ~ c2_1(X59)
        | c0_1(X59)
        | c3_1(X59) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f461,definition,
    ( spl0_54
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c1_1(X56)
        | c3_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f462,plain,
    ( ! [X56] :
        ( c3_1(X56)
        | ~ c1_1(X56)
        | c0_1(X56) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f469,definition,
    ( spl0_56
  <=> ! [X53] :
        ( c0_1(X53)
        | ~ c3_1(X53)
        | c2_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X53] :
        ( c2_1(X53)
        | ~ c3_1(X53)
        | c0_1(X53) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f472,plain,
    ( spl0_11
    | spl0_22
    | ~ spl0_25
    | spl0_56 ),
    inference(avatar_split_clause,[],[f60,f469,f335,f325,f285]) ).

fof(f474,definition,
    ( spl0_57
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c1_1(X51)
        | c2_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f475,plain,
    ( ! [X51] :
        ( c2_1(X51)
        | ~ c1_1(X51)
        | c0_1(X51) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f477,plain,
    ( spl0_19
    | spl0_13
    | ~ spl0_25
    | spl0_57 ),
    inference(avatar_split_clause,[],[f62,f474,f335,f292,f314]) ).

fof(f480,plain,
    ( spl0_2
    | spl0_39
    | ~ spl0_25
    | spl0_57 ),
    inference(avatar_split_clause,[],[f234,f474,f335,f389,f254]) ).

fof(f481,plain,
    ( spl0_47
    | spl0_39
    | ~ spl0_25
    | spl0_57 ),
    inference(avatar_split_clause,[],[f235,f474,f335,f389,f430]) ).

fof(f482,plain,
    ( spl0_43
    | spl0_44
    | ~ spl0_25
    | spl0_57 ),
    inference(avatar_split_clause,[],[f236,f474,f335,f415,f409]) ).

fof(f484,definition,
    ( spl0_58
  <=> ! [X37] :
        ( c0_1(X37)
        | c3_1(X37)
        | c2_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X37] :
        ( c2_1(X37)
        | c3_1(X37)
        | c0_1(X37) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f487,plain,
    ( spl0_31
    | spl0_44
    | ~ spl0_25
    | spl0_58 ),
    inference(avatar_split_clause,[],[f237,f484,f335,f415,f356]) ).

fof(f489,definition,
    ( spl0_59
  <=> ! [X33] :
        ( c0_1(X33)
        | ~ c3_1(X33)
        | c1_1(X33) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f490,plain,
    ( ! [X33] :
        ( ~ c3_1(X33)
        | c0_1(X33)
        | c1_1(X33) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f491,plain,
    ( spl0_4
    | spl0_11
    | ~ spl0_25
    | spl0_59 ),
    inference(avatar_split_clause,[],[f70,f489,f335,f285,f261]) ).

fof(f493,definition,
    ( spl0_60
  <=> ! [X32] :
        ( c2_1(X32)
        | ~ c3_1(X32)
        | ~ c1_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f494,plain,
    ( ! [X32] :
        ( c2_1(X32)
        | ~ c3_1(X32)
        | ~ c1_1(X32) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f495,plain,
    ( spl0_17
    | spl0_60
    | ~ spl0_25
    | spl0_59 ),
    inference(avatar_split_clause,[],[f238,f489,f335,f493,f306]) ).

fof(f498,definition,
    ( spl0_61
  <=> ! [X28] :
        ( c1_1(X28)
        | ~ c2_1(X28)
        | ~ c0_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f499,plain,
    ( ! [X28] :
        ( ~ c2_1(X28)
        | c1_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f500,plain,
    ( spl0_22
    | spl0_61
    | ~ spl0_25
    | spl0_59 ),
    inference(avatar_split_clause,[],[f240,f489,f335,f498,f325]) ).

fof(f501,plain,
    ( spl0_28
    | spl0_58
    | ~ spl0_25
    | spl0_59 ),
    inference(avatar_split_clause,[],[f241,f489,f335,f484,f345]) ).

fof(f503,definition,
    ( spl0_62
  <=> ! [X23] :
        ( c0_1(X23)
        | ~ c2_1(X23)
        | c1_1(X23) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f504,plain,
    ( ! [X23] :
        ( ~ c2_1(X23)
        | c0_1(X23)
        | c1_1(X23) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f510,plain,
    ( spl0_15
    | spl0_52
    | ~ spl0_25
    | spl0_62 ),
    inference(avatar_split_clause,[],[f243,f503,f335,f453,f299]) ).

fof(f511,plain,
    ( spl0_36
    | spl0_59
    | ~ spl0_25
    | spl0_62 ),
    inference(avatar_split_clause,[],[f244,f503,f335,f489,f377]) ).

fof(f512,plain,
    ( spl0_46
    | spl0_59
    | ~ spl0_25
    | spl0_62 ),
    inference(avatar_split_clause,[],[f245,f503,f335,f489,f426]) ).

fof(f514,definition,
    ( spl0_64
  <=> ! [X10] :
        ( c0_1(X10)
        | c3_1(X10)
        | c1_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f515,plain,
    ( ! [X10] :
        ( c3_1(X10)
        | c0_1(X10)
        | c1_1(X10) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f517,plain,
    ( spl0_49
    | spl0_46
    | ~ spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f247,f514,f335,f426,f441]) ).

fof(f518,plain,
    ( spl0_9
    | spl0_58
    | ~ spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f248,f514,f335,f484,f278]) ).

fof(f519,plain,
    ( spl0_31
    | spl0_62
    | ~ spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f249,f514,f335,f503,f356]) ).

fof(f541,definition,
    ( spl0_69
  <=> c3_1(a714) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f542,plain,
    ( c3_1(a714)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f544,plain,
    ( spl0_69
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f90,f325,f541]) ).

fof(f546,definition,
    ( spl0_70
  <=> c2_1(a714) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f547,plain,
    ( c2_1(a714)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f548,plain,
    ( spl0_70
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f91,f325,f546]) ).

fof(f550,definition,
    ( spl0_71
  <=> c0_1(a714) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f552,plain,
    ( spl0_71
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f92,f325,f550]) ).

fof(f555,definition,
    ( spl0_72
  <=> c3_1(a709) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f556,plain,
    ( c3_1(a709)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f558,plain,
    ( spl0_72
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f94,f278,f555]) ).

fof(f560,definition,
    ( spl0_73
  <=> c2_1(a709) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f561,plain,
    ( c2_1(a709)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f562,plain,
    ( spl0_73
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f95,f278,f560]) ).

fof(f564,definition,
    ( spl0_74
  <=> c1_1(a709) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f566,plain,
    ( spl0_74
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f96,f278,f564]) ).

fof(f597,definition,
    ( spl0_81
  <=> c3_1(a773) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f598,plain,
    ( ~ c3_1(a773)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f600,plain,
    ( ~ spl0_81
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f106,f381,f597]) ).

fof(f602,definition,
    ( spl0_82
  <=> c1_1(a773) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f604,plain,
    ( spl0_82
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f107,f381,f602]) ).

fof(f606,definition,
    ( spl0_83
  <=> c0_1(a773) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f608,plain,
    ( spl0_83
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f108,f381,f606]) ).

fof(f625,definition,
    ( spl0_87
  <=> c2_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f626,plain,
    ( ~ c2_1(a762)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f628,plain,
    ( ~ spl0_87
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f114,f295,f625]) ).

fof(f630,definition,
    ( spl0_88
  <=> c3_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f631,plain,
    ( c3_1(a762)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f632,plain,
    ( spl0_88
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f115,f295,f630]) ).

fof(f634,definition,
    ( spl0_89
  <=> c0_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f636,plain,
    ( spl0_89
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f116,f295,f634]) ).

fof(f639,definition,
    ( spl0_90
  <=> c2_1(a757) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f640,plain,
    ( ~ c2_1(a757)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f642,plain,
    ( ~ spl0_90
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f118,f328,f639]) ).

fof(f644,definition,
    ( spl0_91
  <=> c1_1(a757) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f646,plain,
    ( spl0_91
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f119,f328,f644]) ).

fof(f648,definition,
    ( spl0_92
  <=> c0_1(a757) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f650,plain,
    ( spl0_92
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f120,f328,f648]) ).

fof(f653,definition,
    ( spl0_93
  <=> c3_1(a756) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f656,plain,
    ( ~ spl0_93
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f122,f264,f653]) ).

fof(f658,definition,
    ( spl0_94
  <=> c2_1(a756) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f659,plain,
    ( c2_1(a756)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f660,plain,
    ( spl0_94
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f123,f264,f658]) ).

fof(f662,definition,
    ( spl0_95
  <=> c1_1(a756) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f664,plain,
    ( spl0_95
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f124,f264,f662]) ).

fof(f681,definition,
    ( spl0_99
  <=> c3_1(a747) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f684,plain,
    ( ~ spl0_99
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f130,f268,f681]) ).

fof(f686,definition,
    ( spl0_100
  <=> c2_1(a747) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f687,plain,
    ( ~ c2_1(a747)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f688,plain,
    ( ~ spl0_100
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f131,f268,f686]) ).

fof(f690,definition,
    ( spl0_101
  <=> c1_1(a747) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f692,plain,
    ( spl0_101
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f132,f268,f690]) ).

fof(f695,definition,
    ( spl0_102
  <=> c0_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f698,plain,
    ( ~ spl0_102
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f134,f360,f695]) ).

fof(f700,definition,
    ( spl0_103
  <=> c3_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f701,plain,
    ( c3_1(a741)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f702,plain,
    ( spl0_103
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f135,f360,f700]) ).

fof(f704,definition,
    ( spl0_104
  <=> c1_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f706,plain,
    ( spl0_104
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f136,f360,f704]) ).

fof(f709,definition,
    ( spl0_105
  <=> c1_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f712,plain,
    ( ~ spl0_105
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f257,f709]) ).

fof(f714,definition,
    ( spl0_106
  <=> c3_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f715,plain,
    ( c3_1(a739)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f716,plain,
    ( spl0_106
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f139,f257,f714]) ).

fof(f718,definition,
    ( spl0_107
  <=> c2_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f719,plain,
    ( c2_1(a739)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f720,plain,
    ( spl0_107
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f257,f718]) ).

fof(f721,plain,
    ( spl0_25
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f141,f257,f335]) ).

fof(f723,definition,
    ( spl0_108
  <=> c3_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f724,plain,
    ( ~ c3_1(a734)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f726,plain,
    ( ~ spl0_108
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f142,f322,f723]) ).

fof(f728,definition,
    ( spl0_109
  <=> c1_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f730,plain,
    ( ~ spl0_109
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f143,f322,f728]) ).

fof(f732,definition,
    ( spl0_110
  <=> c0_1(a734) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f734,plain,
    ( ~ spl0_110
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f144,f322,f732]) ).

fof(f737,definition,
    ( spl0_111
  <=> c1_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f740,plain,
    ( ~ spl0_111
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f146,f302,f737]) ).

fof(f742,definition,
    ( spl0_112
  <=> c3_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f743,plain,
    ( c3_1(a732)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f744,plain,
    ( spl0_112
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f147,f302,f742]) ).

fof(f746,definition,
    ( spl0_113
  <=> c0_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f748,plain,
    ( spl0_113
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f148,f302,f746]) ).

fof(f765,definition,
    ( spl0_117
  <=> c2_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f766,plain,
    ( ~ c2_1(a730)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f768,plain,
    ( ~ spl0_117
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f154,f282,f765]) ).

fof(f770,definition,
    ( spl0_118
  <=> c3_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f771,plain,
    ( c3_1(a730)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f772,plain,
    ( spl0_118
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f155,f282,f770]) ).

fof(f774,definition,
    ( spl0_119
  <=> c1_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f776,plain,
    ( spl0_119
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f156,f282,f774]) ).

fof(f779,definition,
    ( spl0_120
  <=> c2_1(a727) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f780,plain,
    ( ~ c2_1(a727)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f782,plain,
    ( ~ spl0_120
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f158,f374,f779]) ).

fof(f788,definition,
    ( spl0_122
  <=> c3_1(a727) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f790,plain,
    ( spl0_122
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f160,f374,f788]) ).

fof(f793,definition,
    ( spl0_123
  <=> c1_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f796,plain,
    ( ~ spl0_123
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f162,f314,f793]) ).

fof(f798,definition,
    ( spl0_124
  <=> c0_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f800,plain,
    ( ~ spl0_124
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f163,f314,f798]) ).

fof(f802,definition,
    ( spl0_125
  <=> c2_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f803,plain,
    ( c2_1(a725)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f804,plain,
    ( spl0_125
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f164,f314,f802]) ).

fof(f807,definition,
    ( spl0_126
  <=> c1_1(a721) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f810,plain,
    ( ~ spl0_126
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f166,f254,f807]) ).

fof(f812,definition,
    ( spl0_127
  <=> c0_1(a721) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f814,plain,
    ( ~ spl0_127
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f167,f254,f812]) ).

fof(f816,definition,
    ( spl0_128
  <=> c3_1(a721) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f817,plain,
    ( c3_1(a721)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f818,plain,
    ( spl0_128
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f168,f254,f816]) ).

fof(f819,plain,
    ( spl0_25
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f169,f254,f335]) ).

fof(f849,definition,
    ( spl0_135
  <=> c2_1(a718) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f850,plain,
    ( ~ c2_1(a718)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f852,plain,
    ( ~ spl0_135
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f178,f261,f849]) ).

fof(f854,definition,
    ( spl0_136
  <=> c0_1(a718) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f856,plain,
    ( ~ spl0_136
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f179,f261,f854]) ).

fof(f858,definition,
    ( spl0_137
  <=> c1_1(a718) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f860,plain,
    ( spl0_137
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f180,f261,f858]) ).

fof(f863,definition,
    ( spl0_138
  <=> c3_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f864,plain,
    ( ~ c3_1(a717)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f866,plain,
    ( ~ spl0_138
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f182,f285,f863]) ).

fof(f868,definition,
    ( spl0_139
  <=> c2_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f869,plain,
    ( ~ c2_1(a717)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f870,plain,
    ( ~ spl0_139
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f183,f285,f868]) ).

fof(f872,definition,
    ( spl0_140
  <=> c0_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f874,plain,
    ( spl0_140
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f184,f285,f872]) ).

fof(f877,definition,
    ( spl0_141
  <=> c3_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f880,plain,
    ( ~ spl0_141
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f186,f306,f877]) ).

fof(f882,definition,
    ( spl0_142
  <=> c2_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f883,plain,
    ( c2_1(a716)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f884,plain,
    ( spl0_142
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f187,f306,f882]) ).

fof(f886,definition,
    ( spl0_143
  <=> c0_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f888,plain,
    ( spl0_143
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f188,f306,f886]) ).

fof(f891,definition,
    ( spl0_144
  <=> c3_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f892,plain,
    ( ~ c3_1(a713)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f894,plain,
    ( ~ spl0_144
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f190,f251,f891]) ).

fof(f896,definition,
    ( spl0_145
  <=> c2_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f897,plain,
    ( ~ c2_1(a713)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f898,plain,
    ( ~ spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f191,f251,f896]) ).

fof(f900,definition,
    ( spl0_146
  <=> c0_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f902,plain,
    ( ~ spl0_146
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f192,f251,f900]) ).

fof(f903,plain,
    ( spl0_25
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f193,f251,f335]) ).

fof(f905,definition,
    ( spl0_147
  <=> c3_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f906,plain,
    ( ~ c3_1(a711)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f908,plain,
    ( ~ spl0_147
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f194,f299,f905]) ).

fof(f910,definition,
    ( spl0_148
  <=> c1_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f912,plain,
    ( ~ spl0_148
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f195,f299,f910]) ).

fof(f914,definition,
    ( spl0_149
  <=> c0_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f916,plain,
    ( spl0_149
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f196,f299,f914]) ).

fof(f933,definition,
    ( spl0_153
  <=> c3_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f934,plain,
    ( ~ c3_1(a708)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f936,plain,
    ( ~ spl0_153
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f202,f289,f933]) ).

fof(f938,definition,
    ( spl0_154
  <=> c0_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f940,plain,
    ( ~ spl0_154
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f203,f289,f938]) ).

fof(f942,definition,
    ( spl0_155
  <=> c1_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f944,plain,
    ( spl0_155
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f204,f289,f942]) ).

fof(f947,definition,
    ( spl0_156
  <=> c2_1(a707) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ c2_1(a707)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f950,plain,
    ( ~ spl0_156
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f206,f292,f947]) ).

fof(f952,definition,
    ( spl0_157
  <=> c1_1(a707) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f954,plain,
    ( ~ spl0_157
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f207,f292,f952]) ).

fof(f956,definition,
    ( spl0_158
  <=> c0_1(a707) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f958,plain,
    ( spl0_158
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f208,f292,f956]) ).

fof(f961,definition,
    ( spl0_159
  <=> c2_1(a706) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f962,plain,
    ( ~ c2_1(a706)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f964,plain,
    ( ~ spl0_159
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f210,f332,f961]) ).

fof(f966,definition,
    ( spl0_160
  <=> c1_1(a706) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f968,plain,
    ( ~ spl0_160
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f211,f332,f966]) ).

fof(f970,definition,
    ( spl0_161
  <=> c0_1(a706) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f972,plain,
    ( ~ spl0_161
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f212,f332,f970]) ).

fof(f976,plain,
    ( c3_1(a756)
    | ~ c1_1(a756)
    | ~ spl0_26
    | ~ spl0_94 ),
    inference(resolution,[],[f339,f659]) ).

fof(f1003,definition,
    ( spl0_163
  <=> c0_1(a709) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1008,definition,
    ( spl0_164
  <=> c0_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1015,plain,
    ( ~ c1_1(a730)
    | ~ c0_1(a730)
    | ~ spl0_33
    | spl0_117 ),
    inference(resolution,[],[f364,f766]) ).

fof(f1021,definition,
    ( spl0_165
  <=> c1_1(a762) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1025,definition,
    ( spl0_166
  <=> c0_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1028,plain,
    ( ~ spl0_166
    | ~ spl0_119
    | ~ spl0_33
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1015,f765,f363,f774,f1025]) ).

fof(f1058,definition,
    ( spl0_168
  <=> c1_1(a714) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1094,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_44 ),
    inference(resolution,[],[f416,f346]) ).

fof(f1098,plain,
    ( ~ c0_1(a762)
    | c1_1(a762)
    | ~ spl0_44
    | spl0_87 ),
    inference(resolution,[],[f416,f626]) ).

fof(f1099,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1094]) ).

fof(f1104,plain,
    ( ~ c3_1(a739)
    | c0_1(a739)
    | ~ spl0_46
    | ~ spl0_107 ),
    inference(resolution,[],[f427,f719]) ).

fof(f1121,plain,
    ( c0_1(a730)
    | ~ c1_1(a730)
    | ~ spl0_48
    | ~ spl0_118 ),
    inference(resolution,[],[f436,f771]) ).

fof(f1123,plain,
    ( c0_1(a741)
    | ~ c1_1(a741)
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(resolution,[],[f436,f701]) ).

fof(f1144,definition,
    ( spl0_172
  <=> c3_1(a718) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1145,plain,
    ( c3_1(a718)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1144]) ).

fof(f1158,plain,
    ( ~ c0_1(a762)
    | ~ c1_1(a762)
    | ~ spl0_49
    | ~ spl0_88 ),
    inference(resolution,[],[f442,f631]) ).

fof(f1160,plain,
    ( ~ c0_1(a709)
    | ~ c1_1(a709)
    | ~ spl0_49
    | ~ spl0_72 ),
    inference(resolution,[],[f442,f556]) ).

fof(f1178,plain,
    ( ~ c3_1(a718)
    | c0_1(a718)
    | ~ spl0_56
    | spl0_135 ),
    inference(resolution,[],[f470,f850]) ).

fof(f1192,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_57 ),
    inference(resolution,[],[f475,f339]) ).

fof(f1194,plain,
    ( ~ c1_1(a718)
    | c0_1(a718)
    | ~ spl0_57
    | spl0_135 ),
    inference(resolution,[],[f475,f850]) ).

fof(f1195,plain,
    ( ~ c1_1(a730)
    | c0_1(a730)
    | ~ spl0_57
    | spl0_117 ),
    inference(resolution,[],[f475,f766]) ).

fof(f1197,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_26
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f1192]) ).

fof(f1198,plain,
    ( spl0_166
    | ~ spl0_119
    | ~ spl0_57
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1195,f765,f474,f774,f1025]) ).

fof(f1203,plain,
    ( ~ spl0_165
    | ~ spl0_89
    | ~ spl0_49
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1158,f630,f441,f634,f1021]) ).

fof(f1233,definition,
    ( spl0_174
  <=> c3_1(a706) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1248,plain,
    ( ~ c3_1(a714)
    | ~ c0_1(a714)
    | ~ spl0_31
    | ~ spl0_70 ),
    inference(resolution,[],[f357,f547]) ).

fof(f1263,plain,
    ( ~ c1_1(a762)
    | ~ c0_1(a762)
    | ~ spl0_33
    | spl0_87 ),
    inference(resolution,[],[f364,f626]) ).

fof(f1266,plain,
    ( ~ spl0_89
    | ~ spl0_165
    | ~ spl0_33
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1263,f625,f363,f1021,f634]) ).

fof(f1272,plain,
    ( ~ c3_1(a739)
    | c1_1(a739)
    | ~ spl0_39
    | ~ spl0_107 ),
    inference(resolution,[],[f390,f719]) ).

fof(f1286,definition,
    ( spl0_176
  <=> c3_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1291,plain,
    ( c1_1(a725)
    | c3_1(a725)
    | ~ spl0_41
    | ~ spl0_125 ),
    inference(resolution,[],[f401,f803]) ).

fof(f1306,plain,
    ( spl0_176
    | spl0_123
    | ~ spl0_41
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1291,f802,f400,f793,f1286]) ).

fof(f1316,plain,
    ( ~ spl0_71
    | ~ spl0_69
    | ~ spl0_31
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1248,f546,f356,f541,f550]) ).

fof(f1326,definition,
    ( spl0_178
  <=> c1_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1333,definition,
    ( spl0_179
  <=> c1_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1339,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_43 ),
    inference(resolution,[],[f410,f357]) ).

fof(f1347,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1339]) ).

fof(f1350,definition,
    ( spl0_180
  <=> c1_1(a727) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1358,plain,
    ( spl0_40
    | ~ spl0_31
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1347,f409,f356,f394]) ).

fof(f1385,plain,
    ( c1_1(a714)
    | ~ c0_1(a714)
    | ~ spl0_40
    | ~ spl0_69 ),
    inference(resolution,[],[f395,f542]) ).

fof(f1397,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_31
    | ~ spl0_44 ),
    inference(resolution,[],[f416,f357]) ).

fof(f1404,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_31
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1397]) ).

fof(f1415,definition,
    ( spl0_181
  <=> c1_1(a716) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1471,plain,
    ( c3_1(a706)
    | c1_1(a706)
    | ~ spl0_45
    | spl0_159 ),
    inference(resolution,[],[f422,f962]) ).

fof(f1484,plain,
    ( spl0_160
    | spl0_174
    | ~ spl0_45
    | spl0_159 ),
    inference(avatar_split_clause,[],[f1471,f961,f421,f1233,f966]) ).

fof(f1493,plain,
    ( ~ c0_1(a709)
    | ~ c1_1(a709)
    | ~ spl0_47
    | ~ spl0_73 ),
    inference(resolution,[],[f431,f561]) ).

fof(f1494,plain,
    ( ~ c0_1(a714)
    | ~ c1_1(a714)
    | ~ spl0_47
    | ~ spl0_70 ),
    inference(resolution,[],[f431,f547]) ).

fof(f1521,plain,
    ( ~ spl0_119
    | spl0_166
    | ~ spl0_48
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1121,f770,f435,f1025,f774]) ).

fof(f1537,plain,
    ( ~ spl0_168
    | ~ spl0_71
    | ~ spl0_47
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1494,f546,f430,f550,f1058]) ).

fof(f1597,plain,
    ( ~ c0_1(a707)
    | c1_1(a707)
    | ~ spl0_44
    | spl0_156 ),
    inference(resolution,[],[f416,f948]) ).

fof(f1605,plain,
    ( spl0_157
    | ~ spl0_158
    | ~ spl0_44
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1597,f947,f415,f956,f952]) ).

fof(f1633,plain,
    ( ~ spl0_95
    | spl0_93
    | ~ spl0_26
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f976,f658,f338,f653,f662]) ).

fof(f1637,plain,
    ( ~ c1_1(a757)
    | ~ c0_1(a757)
    | ~ spl0_33
    | spl0_90 ),
    inference(resolution,[],[f640,f364]) ).

fof(f1640,plain,
    ( ~ spl0_92
    | ~ spl0_91
    | ~ spl0_33
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1637,f639,f363,f644,f648]) ).

fof(f1652,plain,
    ( spl0_54
    | ~ spl0_26
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1197,f474,f338,f461]) ).

fof(f1653,plain,
    ( spl0_136
    | ~ spl0_137
    | ~ spl0_57
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1194,f849,f474,f858,f854]) ).

fof(f1662,plain,
    ( spl0_164
    | ~ spl0_106
    | ~ spl0_46
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1104,f718,f426,f714,f1008]) ).

fof(f1666,plain,
    ( ~ c1_1(a717)
    | ~ c0_1(a717)
    | ~ spl0_33
    | spl0_139 ),
    inference(resolution,[],[f869,f364]) ).

fof(f1667,plain,
    ( ~ spl0_140
    | ~ spl0_178
    | ~ spl0_33
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1666,f868,f363,f1326,f872]) ).

fof(f1683,plain,
    ( ~ c3_1(a706)
    | c1_1(a706)
    | ~ spl0_43
    | spl0_159 ),
    inference(resolution,[],[f410,f962]) ).

fof(f1690,plain,
    ( spl0_160
    | ~ spl0_174
    | ~ spl0_43
    | spl0_159 ),
    inference(avatar_split_clause,[],[f1683,f961,f409,f1233,f966]) ).

fof(f1691,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(resolution,[],[f427,f410]) ).

fof(f1702,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1691]) ).

fof(f1708,plain,
    ( spl0_59
    | ~ spl0_43
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1702,f426,f409,f489]) ).

fof(f1714,plain,
    ( c0_1(a725)
    | c3_1(a725)
    | ~ spl0_52
    | ~ spl0_125 ),
    inference(resolution,[],[f454,f803]) ).

fof(f1722,plain,
    ( spl0_176
    | spl0_124
    | ~ spl0_52
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1714,f802,f453,f798,f1286]) ).

fof(f1727,plain,
    ( c0_1(a718)
    | ~ c1_1(a718)
    | ~ spl0_48
    | ~ spl0_172 ),
    inference(resolution,[],[f1145,f436]) ).

fof(f1728,plain,
    ( ~ spl0_137
    | spl0_136
    | ~ spl0_48
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1727,f1144,f435,f854,f858]) ).

fof(f1730,plain,
    ( ~ c1_1(a708)
    | c0_1(a708)
    | ~ spl0_54
    | spl0_153 ),
    inference(resolution,[],[f462,f934]) ).

fof(f1746,plain,
    ( spl0_154
    | ~ spl0_155
    | ~ spl0_54
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1730,f933,f461,f942,f938]) ).

fof(f1749,plain,
    ( c0_1(a709)
    | ~ c1_1(a709)
    | ~ spl0_48
    | ~ spl0_72 ),
    inference(resolution,[],[f556,f436]) ).

fof(f1751,plain,
    ( ~ c3_1(a709)
    | c0_1(a709)
    | ~ spl0_46
    | ~ spl0_73 ),
    inference(resolution,[],[f561,f427]) ).

fof(f1779,plain,
    ( ~ c1_1(a713)
    | c0_1(a713)
    | ~ spl0_57
    | spl0_145 ),
    inference(resolution,[],[f475,f897]) ).

fof(f1782,plain,
    ( spl0_146
    | ~ spl0_179
    | ~ spl0_57
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1779,f896,f474,f1333,f900]) ).

fof(f1788,plain,
    ( c3_1(a713)
    | c0_1(a713)
    | ~ spl0_58
    | spl0_145 ),
    inference(resolution,[],[f485,f897]) ).

fof(f1792,plain,
    ( spl0_146
    | spl0_144
    | ~ spl0_58
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1788,f896,f484,f891,f900]) ).

fof(f1816,plain,
    ( ~ spl0_74
    | ~ spl0_163
    | ~ spl0_49
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1160,f555,f441,f1003,f564]) ).

fof(f1821,plain,
    ( ~ c3_1(a727)
    | c1_1(a727)
    | ~ spl0_43
    | spl0_120 ),
    inference(resolution,[],[f780,f410]) ).

fof(f1827,plain,
    ( spl0_180
    | ~ spl0_122
    | ~ spl0_43
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1821,f779,f409,f788,f1350]) ).

fof(f1830,plain,
    ( ~ spl0_74
    | ~ spl0_163
    | ~ spl0_47
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1493,f560,f430,f1003,f564]) ).

fof(f1872,plain,
    ( ~ c3_1(a739)
    | ~ c0_1(a739)
    | ~ spl0_31
    | ~ spl0_107 ),
    inference(resolution,[],[f357,f719]) ).

fof(f1875,plain,
    ( ~ c3_1(a709)
    | ~ c0_1(a709)
    | ~ spl0_31
    | ~ spl0_73 ),
    inference(resolution,[],[f357,f561]) ).

fof(f1879,plain,
    ( ~ spl0_163
    | ~ spl0_72
    | ~ spl0_31
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1875,f560,f356,f555,f1003]) ).

fof(f1881,plain,
    ( ~ spl0_164
    | ~ spl0_106
    | ~ spl0_31
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1872,f718,f356,f714,f1008]) ).

fof(f1886,plain,
    ( c1_1(a739)
    | ~ c0_1(a739)
    | ~ spl0_40
    | ~ spl0_106 ),
    inference(resolution,[],[f395,f715]) ).

fof(f1891,plain,
    ( ~ spl0_164
    | spl0_105
    | ~ spl0_40
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1886,f714,f394,f709,f1008]) ).

fof(f1927,plain,
    ( c0_1(a739)
    | c1_1(a739)
    | ~ spl0_59
    | ~ spl0_106 ),
    inference(resolution,[],[f490,f715]) ).

fof(f1933,plain,
    ( spl0_105
    | spl0_164
    | ~ spl0_59
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1927,f714,f489,f1008,f709]) ).

fof(f1948,plain,
    ( ~ c3_1(a727)
    | ~ c1_1(a727)
    | ~ spl0_60
    | spl0_120 ),
    inference(resolution,[],[f494,f780]) ).

fof(f1952,plain,
    ( ~ c0_1(a716)
    | ~ c1_1(a716)
    | ~ spl0_47
    | ~ spl0_142 ),
    inference(resolution,[],[f883,f431]) ).

fof(f1954,plain,
    ( c3_1(a716)
    | ~ c0_1(a716)
    | ~ spl0_28
    | ~ spl0_142 ),
    inference(resolution,[],[f883,f346]) ).

fof(f1955,plain,
    ( ~ spl0_143
    | spl0_141
    | ~ spl0_28
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1954,f882,f345,f877,f886]) ).

fof(f1977,plain,
    ( c3_1(a706)
    | c0_1(a706)
    | ~ spl0_58
    | spl0_159 ),
    inference(resolution,[],[f485,f962]) ).

fof(f1982,plain,
    ( spl0_161
    | spl0_174
    | ~ spl0_58
    | spl0_159 ),
    inference(avatar_split_clause,[],[f1977,f961,f484,f1233,f970]) ).

fof(f1989,plain,
    ( c1_1(a716)
    | ~ c0_1(a716)
    | ~ spl0_61
    | ~ spl0_142 ),
    inference(resolution,[],[f499,f883]) ).

fof(f2001,plain,
    ( ~ spl0_143
    | spl0_181
    | ~ spl0_61
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1989,f882,f498,f1415,f886]) ).

fof(f2002,plain,
    ( spl0_42
    | ~ spl0_28
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1099,f415,f345,f405]) ).

fof(f2010,plain,
    ( spl0_136
    | ~ spl0_172
    | ~ spl0_56
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1178,f849,f469,f1144,f854]) ).

fof(f2014,plain,
    ( ~ spl0_180
    | ~ spl0_122
    | ~ spl0_60
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1948,f779,f493,f788,f1350]) ).

fof(f2026,plain,
    ( spl0_105
    | ~ spl0_106
    | ~ spl0_39
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1272,f718,f389,f714,f709]) ).

fof(f2037,plain,
    ( spl0_165
    | ~ spl0_89
    | ~ spl0_44
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1098,f625,f415,f634,f1021]) ).

fof(f2077,plain,
    ( ~ spl0_181
    | ~ spl0_143
    | ~ spl0_47
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1952,f882,f430,f886,f1415]) ).

fof(f2083,plain,
    ( spl0_40
    | ~ spl0_31
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1404,f415,f356,f394]) ).

fof(f2093,plain,
    ( ~ spl0_71
    | spl0_168
    | ~ spl0_40
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1385,f541,f394,f1058,f550]) ).

fof(f2103,plain,
    ( spl0_163
    | ~ spl0_72
    | ~ spl0_46
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1751,f560,f426,f555,f1003]) ).

fof(f2105,plain,
    ( ~ spl0_104
    | spl0_102
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1123,f700,f435,f695,f704]) ).

fof(f2108,plain,
    ( ~ spl0_74
    | spl0_163
    | ~ spl0_48
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1749,f555,f435,f1003,f564]) ).

fof(f2132,plain,
    ( ~ c1_1(a717)
    | ~ c0_1(a717)
    | ~ spl0_30
    | spl0_138 ),
    inference(resolution,[],[f353,f864]) ).

fof(f2138,plain,
    ( ~ c1_1(a773)
    | ~ c0_1(a773)
    | ~ spl0_30
    | spl0_81 ),
    inference(resolution,[],[f353,f598]) ).

fof(f2142,plain,
    ( ~ spl0_83
    | ~ spl0_82
    | ~ spl0_30
    | spl0_81 ),
    inference(avatar_split_clause,[],[f2138,f597,f352,f602,f606]) ).

fof(f2144,plain,
    ( ~ spl0_140
    | ~ spl0_178
    | ~ spl0_30
    | spl0_138 ),
    inference(avatar_split_clause,[],[f2132,f863,f352,f1326,f872]) ).

fof(f2163,plain,
    ( ~ c1_1(a713)
    | c3_1(a713)
    | ~ spl0_36
    | spl0_145 ),
    inference(resolution,[],[f378,f897]) ).

fof(f2164,plain,
    ( ~ c1_1(a717)
    | c3_1(a717)
    | ~ spl0_36
    | spl0_139 ),
    inference(resolution,[],[f378,f869]) ).

fof(f2165,plain,
    ( ~ c1_1(a718)
    | c3_1(a718)
    | ~ spl0_36
    | spl0_135 ),
    inference(resolution,[],[f378,f850]) ).

fof(f2167,plain,
    ( ~ c1_1(a747)
    | c3_1(a747)
    | ~ spl0_36
    | spl0_100 ),
    inference(resolution,[],[f378,f687]) ).

fof(f2174,plain,
    ( spl0_99
    | ~ spl0_101
    | ~ spl0_36
    | spl0_100 ),
    inference(avatar_split_clause,[],[f2167,f686,f377,f690,f681]) ).

fof(f2175,plain,
    ( spl0_172
    | ~ spl0_137
    | ~ spl0_36
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2165,f849,f377,f858,f1144]) ).

fof(f2176,plain,
    ( spl0_138
    | ~ spl0_178
    | ~ spl0_36
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2164,f868,f377,f1326,f863]) ).

fof(f2177,plain,
    ( spl0_144
    | ~ spl0_179
    | ~ spl0_36
    | spl0_145 ),
    inference(avatar_split_clause,[],[f2163,f896,f377,f1333,f891]) ).

fof(f2180,plain,
    ( ~ c0_1(a717)
    | c3_1(a717)
    | ~ spl0_38
    | spl0_139 ),
    inference(resolution,[],[f386,f869]) ).

fof(f2188,plain,
    ( spl0_138
    | ~ spl0_140
    | ~ spl0_38
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2180,f868,f385,f872,f863]) ).

fof(f2193,plain,
    ( ~ c3_1(a725)
    | c1_1(a725)
    | ~ spl0_39
    | ~ spl0_125 ),
    inference(resolution,[],[f390,f803]) ).

fof(f2203,plain,
    ( spl0_123
    | ~ spl0_176
    | ~ spl0_39
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2193,f802,f389,f1286,f793]) ).

fof(f2208,plain,
    ( c1_1(a732)
    | ~ c0_1(a732)
    | ~ spl0_40
    | ~ spl0_112 ),
    inference(resolution,[],[f395,f743]) ).

fof(f2217,plain,
    ( ~ spl0_113
    | spl0_111
    | ~ spl0_40
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2208,f742,f394,f737,f746]) ).

fof(f2228,plain,
    ( ~ c0_1(a711)
    | c1_1(a711)
    | ~ spl0_42
    | spl0_147 ),
    inference(resolution,[],[f406,f906]) ).

fof(f2231,plain,
    ( ~ c0_1(a717)
    | c1_1(a717)
    | ~ spl0_42
    | spl0_138 ),
    inference(resolution,[],[f406,f864]) ).

fof(f2240,plain,
    ( spl0_178
    | ~ spl0_140
    | ~ spl0_42
    | spl0_138 ),
    inference(avatar_split_clause,[],[f2231,f863,f405,f872,f1326]) ).

fof(f2242,plain,
    ( spl0_148
    | ~ spl0_149
    | ~ spl0_42
    | spl0_147 ),
    inference(avatar_split_clause,[],[f2228,f905,f405,f914,f910]) ).

fof(f2259,plain,
    ( ~ c0_1(a717)
    | c1_1(a717)
    | ~ spl0_44
    | spl0_139 ),
    inference(resolution,[],[f416,f869]) ).

fof(f2268,plain,
    ( spl0_178
    | ~ spl0_140
    | ~ spl0_44
    | spl0_139 ),
    inference(avatar_split_clause,[],[f2259,f868,f415,f872,f1326]) ).

fof(f2276,plain,
    ( ~ c3_1(a725)
    | c0_1(a725)
    | ~ spl0_46
    | ~ spl0_125 ),
    inference(resolution,[],[f427,f803]) ).

fof(f2286,plain,
    ( spl0_124
    | ~ spl0_176
    | ~ spl0_46
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2276,f802,f426,f1286,f798]) ).

fof(f2329,plain,
    ( c0_1(a721)
    | c1_1(a721)
    | ~ spl0_59
    | ~ spl0_128 ),
    inference(resolution,[],[f490,f817]) ).

fof(f2341,plain,
    ( spl0_126
    | spl0_127
    | ~ spl0_59
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2329,f816,f489,f812,f807]) ).

fof(f2348,plain,
    ( c0_1(a725)
    | c1_1(a725)
    | ~ spl0_62
    | ~ spl0_125 ),
    inference(resolution,[],[f504,f803]) ).

fof(f2362,plain,
    ( spl0_123
    | spl0_124
    | ~ spl0_62
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2348,f802,f503,f798,f793]) ).

fof(f2367,plain,
    ( c0_1(a713)
    | c1_1(a713)
    | ~ spl0_64
    | spl0_144 ),
    inference(resolution,[],[f515,f892]) ).

fof(f2372,plain,
    ( c0_1(a734)
    | c1_1(a734)
    | ~ spl0_64
    | spl0_108 ),
    inference(resolution,[],[f515,f724]) ).

fof(f2381,plain,
    ( spl0_109
    | spl0_110
    | ~ spl0_64
    | spl0_108 ),
    inference(avatar_split_clause,[],[f2372,f723,f514,f732,f728]) ).

fof(f2385,plain,
    ( spl0_179
    | spl0_146
    | ~ spl0_64
    | spl0_144 ),
    inference(avatar_split_clause,[],[f2367,f891,f514,f900,f1333]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f266]) ).

cnf(s5,plain,
    ( spl0_4
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f287]) ).

cnf(s8,plain,
    ( spl0_3
    | spl0_4
    | spl0_17 ),
    inference(sat_conversion,[],[f308]) ).

cnf(s13,plain,
    ( spl0_4
    | spl0_24
    | ~ spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f340]) ).

cnf(s16,plain,
    ( spl0_12
    | ~ spl0_25
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f358]) ).

cnf(s17,plain,
    ( spl0_4
    | ~ spl0_25
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s21,plain,
    ( ~ spl0_25
    | spl0_28
    | spl0_30
    | spl0_33 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s23,plain,
    ( spl0_2
    | ~ spl0_25
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s24,plain,
    ( spl0_16
    | ~ spl0_25
    | spl0_30
    | spl0_38 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s27,plain,
    ( spl0_1
    | spl0_24
    | ~ spl0_25
    | spl0_40 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s28,plain,
    ( spl0_1
    | spl0_9
    | ~ spl0_25
    | spl0_40 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s30,plain,
    ( spl0_3
    | spl0_14
    | ~ spl0_25
    | spl0_41 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s34,plain,
    ( ~ spl0_25
    | spl0_26
    | spl0_43 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s35,plain,
    ( spl0_23
    | ~ spl0_25
    | spl0_40
    | spl0_43 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s36,plain,
    ( spl0_5
    | spl0_16
    | ~ spl0_25
    | spl0_44 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s37,plain,
    ( spl0_17
    | ~ spl0_25
    | spl0_35
    | spl0_44 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s38,plain,
    ( spl0_3
    | spl0_22
    | ~ spl0_25
    | spl0_44 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s40,plain,
    ( ~ spl0_25
    | spl0_36
    | spl0_42
    | spl0_45 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s42,plain,
    ( ~ spl0_25
    | spl0_28
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s43,plain,
    ( spl0_6
    | ~ spl0_25
    | spl0_36
    | spl0_46 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s44,plain,
    ( spl0_3
    | spl0_21
    | ~ spl0_25
    | spl0_48 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s45,plain,
    ( spl0_4
    | spl0_13
    | ~ spl0_25
    | spl0_48 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s48,plain,
    ( spl0_12
    | ~ spl0_25
    | spl0_40
    | spl0_48 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s55,plain,
    ( spl0_11
    | spl0_22
    | ~ spl0_25
    | spl0_56 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s57,plain,
    ( spl0_13
    | spl0_19
    | ~ spl0_25
    | spl0_57 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s60,plain,
    ( spl0_2
    | ~ spl0_25
    | spl0_39
    | spl0_57 ),
    inference(sat_conversion,[],[f480]) ).

cnf(s61,plain,
    ( ~ spl0_25
    | spl0_39
    | spl0_47
    | spl0_57 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s62,plain,
    ( ~ spl0_25
    | spl0_43
    | spl0_44
    | spl0_57 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s64,plain,
    ( ~ spl0_25
    | spl0_31
    | spl0_44
    | spl0_58 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s65,plain,
    ( spl0_4
    | spl0_11
    | ~ spl0_25
    | spl0_59 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s66,plain,
    ( spl0_17
    | ~ spl0_25
    | spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s68,plain,
    ( spl0_22
    | ~ spl0_25
    | spl0_59
    | spl0_61 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s69,plain,
    ( ~ spl0_25
    | spl0_28
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s72,plain,
    ( spl0_15
    | ~ spl0_25
    | spl0_52
    | spl0_62 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s73,plain,
    ( ~ spl0_25
    | spl0_36
    | spl0_59
    | spl0_62 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s74,plain,
    ( ~ spl0_25
    | spl0_46
    | spl0_59
    | spl0_62 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s76,plain,
    ( ~ spl0_25
    | spl0_46
    | spl0_49
    | spl0_64 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s77,plain,
    ( spl0_9
    | ~ spl0_25
    | spl0_58
    | spl0_64 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s78,plain,
    ( ~ spl0_25
    | spl0_31
    | spl0_62
    | spl0_64 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s85,plain,
    ( ~ spl0_22
    | spl0_69 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s86,plain,
    ( ~ spl0_22
    | spl0_70 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s87,plain,
    ( ~ spl0_22
    | spl0_71 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s89,plain,
    ( ~ spl0_9
    | spl0_72 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s90,plain,
    ( ~ spl0_9
    | spl0_73 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s91,plain,
    ( ~ spl0_9
    | spl0_74 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s101,plain,
    ( ~ spl0_37
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s102,plain,
    ( ~ spl0_37
    | spl0_82 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s103,plain,
    ( ~ spl0_37
    | spl0_83 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s109,plain,
    ( ~ spl0_14
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s110,plain,
    ( ~ spl0_14
    | spl0_88 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s111,plain,
    ( ~ spl0_14
    | spl0_89 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s113,plain,
    ( ~ spl0_23
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s114,plain,
    ( ~ spl0_23
    | spl0_91 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s115,plain,
    ( ~ spl0_23
    | spl0_92 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s117,plain,
    ( ~ spl0_5
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s118,plain,
    ( ~ spl0_5
    | spl0_94 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s119,plain,
    ( ~ spl0_5
    | spl0_95 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s125,plain,
    ( ~ spl0_6
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s126,plain,
    ( ~ spl0_6
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s127,plain,
    ( ~ spl0_6
    | spl0_101 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s129,plain,
    ( ~ spl0_32
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s130,plain,
    ( ~ spl0_32
    | spl0_103 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s131,plain,
    ( ~ spl0_32
    | spl0_104 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s133,plain,
    ( ~ spl0_3
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s134,plain,
    ( ~ spl0_3
    | spl0_106 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s135,plain,
    ( ~ spl0_3
    | spl0_107 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s136,plain,
    ( ~ spl0_3
    | spl0_25 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s137,plain,
    ( ~ spl0_21
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s138,plain,
    ( ~ spl0_21
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s139,plain,
    ( ~ spl0_21
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s141,plain,
    ( ~ spl0_16
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s142,plain,
    ( ~ spl0_16
    | spl0_112 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s143,plain,
    ( ~ spl0_16
    | spl0_113 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s149,plain,
    ( ~ spl0_10
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s150,plain,
    ( ~ spl0_10
    | spl0_118 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s151,plain,
    ( ~ spl0_10
    | spl0_119 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s153,plain,
    ( ~ spl0_35
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s155,plain,
    ( ~ spl0_35
    | spl0_122 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s157,plain,
    ( ~ spl0_19
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s158,plain,
    ( ~ spl0_19
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s159,plain,
    ( ~ spl0_19
    | spl0_125 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s161,plain,
    ( ~ spl0_2
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s162,plain,
    ( ~ spl0_2
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s163,plain,
    ( ~ spl0_2
    | spl0_128 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s164,plain,
    ( ~ spl0_2
    | spl0_25 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s173,plain,
    ( ~ spl0_4
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s174,plain,
    ( ~ spl0_4
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s175,plain,
    ( ~ spl0_4
    | spl0_137 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s177,plain,
    ( ~ spl0_11
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s178,plain,
    ( ~ spl0_11
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s179,plain,
    ( ~ spl0_11
    | spl0_140 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s181,plain,
    ( ~ spl0_17
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s182,plain,
    ( ~ spl0_17
    | spl0_142 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s183,plain,
    ( ~ spl0_17
    | spl0_143 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s185,plain,
    ( ~ spl0_1
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s186,plain,
    ( ~ spl0_1
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s187,plain,
    ( ~ spl0_1
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s188,plain,
    ( ~ spl0_1
    | spl0_25 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s189,plain,
    ( ~ spl0_15
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s190,plain,
    ( ~ spl0_15
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s191,plain,
    ( ~ spl0_15
    | spl0_149 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s197,plain,
    ( ~ spl0_12
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s198,plain,
    ( ~ spl0_12
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s199,plain,
    ( ~ spl0_12
    | spl0_155 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s201,plain,
    ( ~ spl0_13
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s202,plain,
    ( ~ spl0_13
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s203,plain,
    ( ~ spl0_13
    | spl0_158 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s205,plain,
    ( ~ spl0_24
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s206,plain,
    ( ~ spl0_24
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f968]) ).

cnf(s207,plain,
    ( ~ spl0_24
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f972]) ).

cnf(s215,plain,
    ( ~ spl0_33
    | spl0_117
    | ~ spl0_119
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s243,plain,
    ( ~ spl0_57
    | spl0_117
    | ~ spl0_119
    | spl0_166 ),
    inference(sat_conversion,[],[f1198]) ).

cnf(s248,plain,
    ( ~ spl0_49
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1203]) ).

cnf(s265,plain,
    ( ~ spl0_33
    | spl0_87
    | ~ spl0_89
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1266]) ).

cnf(s276,plain,
    ( ~ spl0_41
    | spl0_123
    | ~ spl0_125
    | spl0_176 ),
    inference(sat_conversion,[],[f1306]) ).

cnf(s286,plain,
    ( ~ spl0_31
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f1316]) ).

cnf(s295,plain,
    ( ~ spl0_31
    | spl0_40
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1358]) ).

cnf(s330,plain,
    ( ~ spl0_45
    | spl0_159
    | spl0_160
    | spl0_174 ),
    inference(sat_conversion,[],[f1484]) ).

cnf(s343,plain,
    ( ~ spl0_48
    | ~ spl0_118
    | ~ spl0_119
    | spl0_166 ),
    inference(sat_conversion,[],[f1521]) ).

cnf(s359,plain,
    ( ~ spl0_47
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1537]) ).

cnf(s371,plain,
    ( ~ spl0_44
    | spl0_156
    | spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1605]) ).

cnf(s379,plain,
    ( ~ spl0_26
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f1633]) ).

cnf(s382,plain,
    ( ~ spl0_33
    | spl0_90
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f1640]) ).

cnf(s395,plain,
    ( ~ spl0_26
    | spl0_54
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f1652]) ).

cnf(s396,plain,
    ( ~ spl0_57
    | spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1653]) ).

cnf(s406,plain,
    ( ~ spl0_46
    | ~ spl0_106
    | ~ spl0_107
    | spl0_164 ),
    inference(sat_conversion,[],[f1662]) ).

cnf(s409,plain,
    ( ~ spl0_33
    | spl0_139
    | ~ spl0_140
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1667]) ).

cnf(s416,plain,
    ( ~ spl0_43
    | spl0_159
    | spl0_160
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1690]) ).

cnf(s420,plain,
    ( ~ spl0_43
    | ~ spl0_46
    | spl0_59 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s422,plain,
    ( ~ spl0_52
    | spl0_124
    | ~ spl0_125
    | spl0_176 ),
    inference(sat_conversion,[],[f1722]) ).

cnf(s427,plain,
    ( ~ spl0_48
    | spl0_136
    | ~ spl0_137
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1728]) ).

cnf(s431,plain,
    ( ~ spl0_54
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1746]) ).

cnf(s439,plain,
    ( ~ spl0_57
    | spl0_145
    | spl0_146
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s440,plain,
    ( ~ spl0_58
    | spl0_144
    | spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f1792]) ).

cnf(s467,plain,
    ( ~ spl0_49
    | ~ spl0_72
    | ~ spl0_74
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1816]) ).

cnf(s472,plain,
    ( ~ spl0_43
    | spl0_120
    | ~ spl0_122
    | spl0_180 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s476,plain,
    ( ~ spl0_47
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1830]) ).

cnf(s487,plain,
    ( ~ spl0_31
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1879]) ).

cnf(s489,plain,
    ( ~ spl0_31
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1881]) ).

cnf(s492,plain,
    ( ~ spl0_40
    | spl0_105
    | ~ spl0_106
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s501,plain,
    ( ~ spl0_59
    | spl0_105
    | ~ spl0_106
    | spl0_164 ),
    inference(sat_conversion,[],[f1933]) ).

cnf(s506,plain,
    ( ~ spl0_28
    | spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1955]) ).

cnf(s520,plain,
    ( ~ spl0_58
    | spl0_159
    | spl0_161
    | spl0_174 ),
    inference(sat_conversion,[],[f1982]) ).

cnf(s522,plain,
    ( ~ spl0_61
    | ~ spl0_142
    | ~ spl0_143
    | spl0_181 ),
    inference(sat_conversion,[],[f2001]) ).

cnf(s523,plain,
    ( ~ spl0_28
    | spl0_42
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f2002]) ).

cnf(s531,plain,
    ( ~ spl0_56
    | spl0_135
    | spl0_136
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2010]) ).

cnf(s535,plain,
    ( ~ spl0_60
    | spl0_120
    | ~ spl0_122
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f2014]) ).

cnf(s547,plain,
    ( ~ spl0_39
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2026]) ).

cnf(s558,plain,
    ( ~ spl0_44
    | spl0_87
    | ~ spl0_89
    | spl0_165 ),
    inference(sat_conversion,[],[f2037]) ).

cnf(s594,plain,
    ( ~ spl0_47
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2077]) ).

cnf(s600,plain,
    ( ~ spl0_31
    | spl0_40
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f2083]) ).

cnf(s610,plain,
    ( ~ spl0_40
    | ~ spl0_69
    | ~ spl0_71
    | spl0_168 ),
    inference(sat_conversion,[],[f2093]) ).

cnf(s620,plain,
    ( ~ spl0_46
    | ~ spl0_72
    | ~ spl0_73
    | spl0_163 ),
    inference(sat_conversion,[],[f2103]) ).

cnf(s622,plain,
    ( ~ spl0_48
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f2105]) ).

cnf(s625,plain,
    ( ~ spl0_48
    | ~ spl0_72
    | ~ spl0_74
    | spl0_163 ),
    inference(sat_conversion,[],[f2108]) ).

cnf(s636,plain,
    ( ~ spl0_30
    | spl0_81
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f2142]) ).

cnf(s638,plain,
    ( ~ spl0_30
    | spl0_138
    | ~ spl0_140
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2144]) ).

cnf(s658,plain,
    ( ~ spl0_36
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f2174]) ).

cnf(s659,plain,
    ( ~ spl0_36
    | spl0_135
    | ~ spl0_137
    | spl0_172 ),
    inference(sat_conversion,[],[f2175]) ).

cnf(s660,plain,
    ( ~ spl0_36
    | spl0_138
    | spl0_139
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2176]) ).

cnf(s661,plain,
    ( ~ spl0_36
    | spl0_144
    | spl0_145
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2177]) ).

cnf(s664,plain,
    ( ~ spl0_38
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2188]) ).

cnf(s667,plain,
    ( ~ spl0_39
    | spl0_123
    | ~ spl0_125
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2203]) ).

cnf(s669,plain,
    ( ~ spl0_40
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2217]) ).

cnf(s674,plain,
    ( ~ spl0_42
    | spl0_138
    | ~ spl0_140
    | spl0_178 ),
    inference(sat_conversion,[],[f2240]) ).

cnf(s676,plain,
    ( ~ spl0_42
    | spl0_147
    | spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f2242]) ).

cnf(s681,plain,
    ( ~ spl0_44
    | spl0_139
    | ~ spl0_140
    | spl0_178 ),
    inference(sat_conversion,[],[f2268]) ).

cnf(s683,plain,
    ( ~ spl0_46
    | spl0_124
    | ~ spl0_125
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2286]) ).

cnf(s700,plain,
    ( ~ spl0_59
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2341]) ).

cnf(s704,plain,
    ( ~ spl0_62
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2362]) ).

cnf(s707,plain,
    ( ~ spl0_64
    | spl0_108
    | spl0_109
    | spl0_110 ),
    inference(sat_conversion,[],[f2381]) ).

cnf(s711,plain,
    ( ~ spl0_64
    | spl0_144
    | spl0_146
    | spl0_179 ),
    inference(sat_conversion,[],[f2385]) ).

cnf(s715,plain,
    ( ~ spl0_16
    | ~ spl0_40 ),
    inference(rat,[],[s669,s141,s142,s143]) ).

cnf(s716,plain,
    ( spl0_17
    | spl0_44
    | spl0_59
    | ~ spl0_43
    | ~ spl0_25 ),
    inference(rat,[],[s472,s535,s153,s155,s66,s37]) ).

cnf(s717,plain,
    ( spl0_164
    | ~ spl0_11
    | spl0_6
    | spl0_58
    | ~ spl0_43
    | ~ spl0_3 ),
    inference(rat,[],[s506,s181,s182,s183,s716,s681,s660,s69,s43,s501,s406,s136,s135,s134,s133,s179,s178,s177]) ).

cnf(s718,plain,
    ( ~ spl0_11
    | spl0_6
    | spl0_58
    | ~ spl0_43
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s371,s201,s202,s203,s45,s622,s129,s130,s131,s17,s409,s681,s64,s489,s717,s178,s179,s136,s135,s134]) ).

cnf(s719,plain,
    ( spl0_11
    | spl0_58
    | spl0_4
    | ~ spl0_57
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_25 ),
    inference(rat,[],[s371,s201,s202,s203,s45,s622,s129,s130,s131,s17,s64,s215,s243,s489,s149,s151,s501,s5,s65]) ).

cnf(s720,plain,
    ( spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s371,s201,s202,s203,s64,s45,s295,s622,s715,s129,s130,s131,s24,s17,s638,s409,s674,s40,s658,s125,s126,s127,s664,s718,s177,s178,s179,s719,s520,s330,s416,s205,s206,s207,s13,s34,s379,s117,s118,s119,s2,s60,s547,s133,s134,s135,s136]) ).

cnf(s721,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s396,s173,s174,s175,s720,s60,s547,s133,s134,s135,s136,s1]) ).

cnf(s722,plain,
    ( spl0_4
    | spl0_26
    | ~ spl0_11
    | ~ spl0_3
    | ~ spl0_25 ),
    inference(rat,[],[s371,s201,s202,s203,s64,s45,s295,s622,s715,s129,s130,s131,s24,s17,s638,s409,s674,s40,s658,s125,s126,s127,s718,s520,s330,s416,s205,s206,s207,s13,s664,s177,s178,s179,s34]) ).

cnf(s723,plain,
    ( ~ spl0_17
    | ~ spl0_47
    | ~ spl0_43
    | spl0_1 ),
    inference(rat,[],[s520,s416,s205,s206,s207,s27,s610,s359,s85,s86,s87,s68,s69,s522,s506,s594,s181,s182,s183,s164,s700,s161,s162,s163,s721]) ).

cnf(s724,plain,
    ( ~ spl0_13
    | ~ spl0_44 ),
    inference(rat,[],[s371,s201,s202,s203]) ).

cnf(s725,plain,
    ( spl0_26
    | ~ spl0_11
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s704,s157,s158,s159,s57,s724,s716,s723,s61,s396,s173,s174,s175,s722,s74,s420,s34,s164,s700,s161,s162,s163,s721,s547,s133,s134,s135]) ).

cnf(s726,plain,
    ( ~ spl0_19
    | ~ spl0_62 ),
    inference(rat,[],[s704,s157,s158,s159]) ).

cnf(s727,plain,
    ( ~ spl0_44
    | spl0_19
    | ~ spl0_43
    | ~ spl0_26
    | spl0_138
    | spl0_139
    | ~ spl0_140
    | ~ spl0_25 ),
    inference(rat,[],[s431,s197,s198,s199,s16,s295,s715,s395,s24,s57,s638,s724,s681,s664]) ).

cnf(s728,plain,
    ( ~ spl0_43
    | ~ spl0_26
    | spl0_138
    | spl0_139
    | ~ spl0_140
    | spl0_1 ),
    inference(rat,[],[s42,s506,s723,s181,s182,s183,s716,s727,s726,s74,s420,s164,s700,s161,s162,s163,s721]) ).

cnf(s729,plain,
    ( ~ spl0_44
    | ~ spl0_26
    | spl0_138
    | spl0_139
    | ~ spl0_140
    | ~ spl0_2 ),
    inference(rat,[],[s431,s197,s198,s199,s16,s395,s600,s57,s715,s726,s24,s73,s638,s660,s724,s681,s164,s700,s161,s162,s163,s664]) ).

cnf(s730,plain,
    ( ~ spl0_4
    | ~ spl0_57 ),
    inference(rat,[],[s396,s173,s174,s175]) ).

cnf(s731,plain,
    ( ~ spl0_12
    | ~ spl0_54 ),
    inference(rat,[],[s431,s197,s198,s199]) ).

cnf(s732,plain,
    ( spl0_40
    | spl0_12
    | spl0_4
    | spl0_43
    | ~ spl0_25 ),
    inference(rat,[],[s622,s129,s130,s131,s17,s382,s113,s114,s115,s48,s35]) ).

cnf(s733,plain,
    ( ~ spl0_11
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s379,s117,s118,s119,s36,s715,s732,s731,s730,s395,s62,s729,s728,s725,s177,s178,s179,s164,s721]) ).

cnf(s734,plain,
    ( ~ spl0_43
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s57,s724,s726,s716,s74,s723,s420,s61,s730,s65,s733,s700,s161,s162,s163,s164,s721,s547,s133,s134,s135]) ).

cnf(s735,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s620,s476,s89,s90,s91,s28,s492,s406,s74,s726,s57,s724,s62,s734,s61,s730,s65,s733,s547,s133,s134,s135,s164,s700,s161,s162,s163,s721]) ).

cnf(s736,plain,
    ( ~ spl0_17
    | ~ spl0_43
    | spl0_1 ),
    inference(rat,[],[s42,s506,s723,s181,s182,s183,s164,s420,s700,s161,s162,s163,s721]) ).

cnf(s737,plain,
    ( ~ spl0_43
    | spl0_1 ),
    inference(rat,[],[s57,s730,s724,s8,s716,s736,s726,s74,s420,s164,s700,s161,s162,s163,s721,s735]) ).

cnf(s738,plain,
    ( ~ spl0_11
    | ~ spl0_44
    | spl0_1 ),
    inference(rat,[],[s729,s177,s178,s179,s34,s737,s164,s721]) ).

cnf(s739,plain,
    ( spl0_62
    | spl0_11
    | spl0_1 ),
    inference(rat,[],[s78,s286,s707,s85,s86,s87,s137,s138,s139,s55,s44,s531,s427,s659,s73,s735,s175,s174,s173,s65,s164,s700,s161,s162,s163,s721]) ).

cnf(s740,plain,
    ( ~ spl0_44
    | spl0_1 ),
    inference(rat,[],[s57,s726,s730,s739,s65,s738,s724,s164,s700,s161,s162,s163,s721]) ).

cnf(s741,plain,
    spl0_1,
    inference(rat,[],[s379,s117,s118,s119,s36,s715,s732,s731,s395,s730,s62,s740,s34,s737,s164,s721]) ).

cnf(s742,plain,
    spl0_25,
    inference(rat,[],[s188,s741]) ).

cnf(s743,plain,
    ~ spl0_146,
    inference(rat,[],[s187,s741]) ).

cnf(s744,plain,
    ~ spl0_145,
    inference(rat,[],[s186,s741]) ).

cnf(s745,plain,
    ~ spl0_144,
    inference(rat,[],[s185,s741]) ).

cnf(s746,plain,
    ~ spl0_58,
    inference(rat,[],[s440,s743,s744,s745]) ).

cnf(s748,plain,
    ( ~ spl0_2
    | ~ spl0_59 ),
    inference(rat,[],[s700,s161,s162,s163]) ).

cnf(s749,plain,
    ( ~ spl0_3
    | ~ spl0_39 ),
    inference(rat,[],[s547,s133,s134,s135]) ).

cnf(s750,plain,
    ( ~ spl0_11
    | ~ spl0_30
    | ~ spl0_44 ),
    inference(rat,[],[s638,s681,s177,s178,s179]) ).

cnf(s753,plain,
    ( ~ spl0_3
    | spl0_62
    | spl0_57 ),
    inference(rat,[],[s78,s711,s489,s661,s406,s73,s74,s748,s60,s749,s134,s135,s742,s743,s745,s744]) ).

cnf(s754,plain,
    ( spl0_59
    | ~ spl0_19
    | ~ spl0_44 ),
    inference(rat,[],[s676,s189,s190,s191,s72,s422,s683,s523,s74,s69,s159,s158,s726,s742,s746]) ).

cnf(s755,plain,
    ( ~ spl0_37
    | ~ spl0_30 ),
    inference(rat,[],[s636,s101,s102,s103]) ).

cnf(s756,plain,
    ( spl0_57
    | ~ spl0_44 ),
    inference(rat,[],[s620,s487,s89,s90,s78,s76,s77,s711,s661,s23,s755,s21,s248,s265,s523,s558,s676,s109,s110,s111,s189,s190,s191,s30,s72,s276,s422,s667,s60,s748,s754,s753,s726,s157,s158,s159,s57,s724,s742,s746,s743,s745,s744]) ).

cnf(s757,plain,
    ( ~ spl0_2
    | ~ spl0_44 ),
    inference(rat,[],[s729,s177,s178,s179,s34,s65,s420,s748,s76,s467,s625,s45,s730,s724,s91,s89,s77,s711,s439,s756,s742,s745,s743,s744,s746]) ).

cnf(s758,plain,
    ( ~ spl0_11
    | ~ spl0_44 ),
    inference(rat,[],[s409,s21,s681,s750,s178,s179,s506,s181,s182,s183,s8,s720,s757,s730,s756,s742]) ).

cnf(s759,plain,
    ~ spl0_44,
    inference(rat,[],[s622,s129,s130,s131,s17,s215,s343,s149,s150,s151,s5,s758,s45,s730,s756,s724,s742]) ).

cnf(s760,plain,
    spl0_31,
    inference(rat,[],[s64,s746,s742,s759]) ).

cnf(s761,plain,
    ( ~ spl0_17
    | ~ spl0_28 ),
    inference(rat,[],[s506,s181,s182,s183]) ).

cnf(s762,plain,
    spl0_43,
    inference(rat,[],[s379,s117,s118,s119,s36,s715,s732,s731,s730,s395,s62,s34,s742,s759]) ).

cnf(s776,plain,
    spl0_59,
    inference(rat,[],[s761,s716,s69,s762,s759,s742,s746]) ).

cnf(s778,plain,
    ~ spl0_22,
    inference(rat,[],[s286,s85,s86,s87,s760]) ).

cnf(s779,plain,
    spl0_3,
    inference(rat,[],[s38,s759,s742,s778]) ).

cnf(s780,plain,
    spl0_107,
    inference(rat,[],[s135,s779]) ).

cnf(s781,plain,
    spl0_106,
    inference(rat,[],[s134,s779]) ).

cnf(s782,plain,
    ~ spl0_105,
    inference(rat,[],[s133,s779]) ).

cnf(s785,plain,
    ~ spl0_164,
    inference(rat,[],[s489,s760,s780,s781]) ).

cnf(s786,plain,
    $false,
    inference(rat,[],[s501,s776,s781,s782,s785]) ).

fof(f2387,plain,
    $false,
    inference(avatar_sat_refutation,[],[s786]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN508+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n008.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 16:20:54 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.83/1.15  % (2373004)Detected formulas, will run a generic FOF schedule.
% 2.83/1.15  % (2373013)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3388905186:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.83/1.15  % (2373010)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=593272934:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.83/1.15  % (2373009)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2737378334:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.83/1.15  % (2373012)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2643042477:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.83/1.15  % (2373011)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=663443788:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.83/1.15  % (2373013)Instruction limit reached! 
% 2.83/1.15  % (2373013)------------------------------
% 2.83/1.15  % (2373013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.15  % (2373013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.15  % (2373013)CaDiCaL version: 2.1.3
% 2.83/1.15  % (2373013)Termination reason: Instruction limit
% 2.83/1.15  % (2373013)Termination phase: Saturation
% 2.83/1.15  % (2373013)Time elapsed: 0.031 s
% 2.83/1.15  % (2373013)Peak memory usage: 88 MB
% 2.83/1.15  % (2373013)Instructions burned: 123 (million)
% 2.83/1.15  % (2373015)dis-21_1_sil=8000:lcm=predicate:random_seed=4185729266:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.83/1.15  % (2373014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1284520903:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.83/1.15  % (2373015)First to succeed.
% 2.83/1.15  % (2373015)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2373004"
% 2.83/1.15  % (2373012)Also succeeded, but the first one will report.
% 2.83/1.15  % (2373014)Also succeeded, but the first one will report.
% 2.83/1.15  % (2373021)lrs+10_1_sil=8000:sp=occurrence:random_seed=955337629:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.83/1.15  % (2373021)Also succeeded, but the first one will report.
% 2.83/1.15  % (2373015)Refutation found. Thanks to Tanya!
% 2.83/1.15  % SZS status Theorem for theBenchmark
% 2.83/1.15  % SZS output start Proof for theBenchmark
% See solution above
% 4.01/1.34  % (2373015)------------------------------
% 4.01/1.34  % (2373015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.01/1.34  % (2373015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.01/1.34  % (2373015)CaDiCaL version: 2.1.3
% 4.01/1.34  % (2373015)Termination reason: Refutation
% 4.01/1.34  % (2373015)Time elapsed: 0.040 s
% 4.01/1.34  % (2373015)Peak memory usage: 90 MB
% 4.01/1.34  % (2373015)Instructions burned: 65 (million)
% 4.01/1.34  % (2373015)------------------------------
% 4.01/1.34  % (2373015)------------------------------
% 4.01/1.34  % (2373004)Success in time 0.482 s
% 4.01/1.34  % Vampire exiting
%------------------------------------------------------------------------------