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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 SAT

% Computer : n019.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 02:16:31 PM UTC 2026

% Result   : Theorem 0.20s 0.31s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :  119
% Syntax   : Number of formulae    :  752 (   7 unt; 118 def)
%            Number of atoms       : 6145 (   0 equ)
%            Maximal formula atoms :  747 (   8 avg)
%            Number of connectives : 8084 (2691   ~;3892   |;1035   &)
%                                         ( 118 <=>; 348  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  119 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  156 ( 155 usr; 152 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  752 (   0 sgn 752   !;   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(f9,plain,
    ( hskp29
    | hskp18
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f11,plain,
    ( hskp24
    | hskp1
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ( hskp25
    | hskp18
    | hskp12 ),
    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(f19,plain,
    ! [X114] :
      ( c3_1(X114)
      | ~ c0_1(X114)
      | ~ c2_1(X114)
      | ~ ndr1_0
      | hskp31
      | hskp1 ),
    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(f30,plain,
    ! [X99] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | hskp30
      | hskp22 ),
    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(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(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(f54,plain,
    ! [X60] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | hskp28
      | hskp18 ),
    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(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(f72,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | c2_1(X30)
      | c3_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0
      | hskp29 ),
    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(f75,plain,
    ! [X23] :
      ( c0_1(X23)
      | c1_1(X23)
      | ~ c2_1(X23)
      | ~ ndr1_0
      | hskp4
      | hskp5 ),
    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(f80,plain,
    ! [X10,X11] :
      ( c0_1(X10)
      | c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | c2_1(X11)
      | ~ c0_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | hskp3 ),
    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(f86,plain,
    ( ~ hskp31
    | c3_1(a723) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp31
    | c1_1(a723) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp31
    | c0_1(a723) ),
    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(f98,plain,
    ( ~ hskp28
    | c2_1(a705) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp28
    | c1_1(a705) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp28
    | c0_1(a705) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp25
    | ~ c1_1(a764) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp25
    | c2_1(a764) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp25
    | c0_1(a764) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ( ~ hskp24
    | ndr1_0 ),
    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(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(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(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(f170,plain,
    ( ~ hskp10
    | ~ c2_1(a720) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp10
    | ~ c1_1(a720) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp10
    | c3_1(a720) ),
    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(f183,plain,
    ( ~ hskp7
    | ~ c2_1(a717) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp7
    | c0_1(a717) ),
    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(f198,plain,
    ( ~ hskp3
    | ~ c3_1(a710) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp3
    | ~ c2_1(a710) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp3
    | ~ c1_1(a710) ),
    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(f205,plain,
    ( ~ hskp2
    | ndr1_0 ),
    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(f209,plain,
    ( ~ hskp1
    | ndr1_0 ),
    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,
    ( ~ hskp0
    | c2_1(a706) ),
    inference(consistent_polarity_flipping,[],[f210]) ).

fof(f215,plain,
    ( hskp1
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f209]) ).

fof(f216,plain,
    ( hskp1
    | c0_1(a707) ),
    inference(consistent_polarity_flipping,[],[f208]) ).

fof(f217,plain,
    ( hskp1
    | ~ c1_1(a707) ),
    inference(consistent_polarity_flipping,[],[f207]) ).

fof(f218,plain,
    ( hskp1
    | c2_1(a707) ),
    inference(consistent_polarity_flipping,[],[f206]) ).

fof(f219,plain,
    ( hskp2
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f205]) ).

fof(f220,plain,
    ( hskp2
    | c1_1(a708) ),
    inference(consistent_polarity_flipping,[],[f204]) ).

fof(f221,plain,
    ( hskp2
    | ~ c0_1(a708) ),
    inference(consistent_polarity_flipping,[],[f203]) ).

fof(f222,plain,
    ( hskp2
    | ~ c3_1(a708) ),
    inference(consistent_polarity_flipping,[],[f202]) ).

fof(f223,plain,
    ( ~ hskp3
    | c2_1(a710) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f224,plain,
    ( hskp5
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f225,plain,
    ( hskp5
    | ~ c0_1(a713) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f226,plain,
    ( hskp5
    | c2_1(a713) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f227,plain,
    ( hskp5
    | ~ c3_1(a713) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f230,plain,
    ( hskp7
    | c0_1(a717) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f231,plain,
    ( hskp7
    | c2_1(a717) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f234,plain,
    ( hskp8
    | c1_1(a718) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f235,plain,
    ( hskp8
    | ~ c0_1(a718) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f236,plain,
    ( hskp8
    | c2_1(a718) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f242,plain,
    ( hskp10
    | c3_1(a720) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f243,plain,
    ( hskp10
    | ~ c1_1(a720) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f244,plain,
    ( hskp10
    | c2_1(a720) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f246,plain,
    ( hskp11
    | c3_1(a721) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f247,plain,
    ( hskp11
    | ~ c0_1(a721) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f248,plain,
    ( hskp11
    | ~ c1_1(a721) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f250,plain,
    ( hskp12
    | ~ c2_1(a725) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f251,plain,
    ( hskp12
    | ~ c0_1(a725) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f252,plain,
    ( hskp12
    | ~ c1_1(a725) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f254,plain,
    ( ~ hskp14
    | c2_1(a730) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f264,plain,
    ( hskp18
    | ~ c2_1(a739) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f265,plain,
    ( hskp18
    | c3_1(a739) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f266,plain,
    ( hskp18
    | ~ c1_1(a739) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f268,plain,
    ( hskp19
    | c1_1(a741) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f269,plain,
    ( hskp19
    | c3_1(a741) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f270,plain,
    ( hskp19
    | ~ c0_1(a741) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f277,plain,
    ( hskp22
    | c1_1(a756) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f278,plain,
    ( hskp22
    | ~ c2_1(a756) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f279,plain,
    ( hskp22
    | ~ c3_1(a756) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f280,plain,
    ( ~ hskp23
    | c2_1(a757) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f281,plain,
    ( hskp24
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f286,plain,
    ( hskp25
    | c0_1(a764) ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f287,plain,
    ( hskp25
    | ~ c2_1(a764) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f288,plain,
    ( hskp25
    | ~ c1_1(a764) ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f293,plain,
    ( ~ hskp28
    | ~ c2_1(a705) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f295,plain,
    ( hskp29
    | c1_1(a709) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f296,plain,
    ( hskp29
    | ~ c2_1(a709) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f297,plain,
    ( hskp29
    | c3_1(a709) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f299,plain,
    ( hskp30
    | c0_1(a714) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f300,plain,
    ( hskp30
    | ~ c2_1(a714) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f303,plain,
    ( hskp31
    | c0_1(a723) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f304,plain,
    ( hskp31
    | c1_1(a723) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f305,plain,
    ( hskp31
    | c3_1(a723) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f308,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(consistent_polarity_flipping,[],[f83]) ).

fof(f309,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(consistent_polarity_flipping,[],[f82]) ).

fof(f311,plain,
    ! [X10,X11] :
      ( c0_1(X10)
      | c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | ~ c2_1(X11)
      | ~ c0_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f312,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(consistent_polarity_flipping,[],[f79]) ).

fof(f316,plain,
    ! [X23] :
      ( c0_1(X23)
      | c1_1(X23)
      | c2_1(X23)
      | ~ ndr1_0
      | hskp4
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f317,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(consistent_polarity_flipping,[],[f74]) ).

fof(f319,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f322,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(consistent_polarity_flipping,[],[f69]) ).

fof(f324,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(consistent_polarity_flipping,[],[f67]) ).

fof(f326,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(consistent_polarity_flipping,[],[f65]) ).

fof(f329,plain,
    ! [X50] :
      ( c0_1(X50)
      | ~ c2_1(X50)
      | ~ c1_1(X50)
      | ~ ndr1_0
      | ~ hskp1
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f337,plain,
    ! [X60] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | c2_1(X60)
      | ~ ndr1_0
      | hskp28
      | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f338,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(consistent_polarity_flipping,[],[f53]) ).

fof(f341,plain,
    ! [X67] :
      ( c0_1(X67)
      | ~ c1_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | ~ hskp1
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f344,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(consistent_polarity_flipping,[],[f47]) ).

fof(f350,plain,
    ! [X82] :
      ( c1_1(X82)
      | ~ c2_1(X82)
      | ~ c0_1(X82)
      | ~ ndr1_0
      | hskp16
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f351,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(consistent_polarity_flipping,[],[f40]) ).

fof(f352,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(consistent_polarity_flipping,[],[f39]) ).

fof(f361,plain,
    ! [X99] :
      ( c1_1(X99)
      | c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | ~ hskp30
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f369,plain,
    ! [X110] :
      ( ~ c2_1(X110)
      | ~ c0_1(X110)
      | ~ c1_1(X110)
      | ~ ndr1_0
      | ~ hskp19
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f372,plain,
    ! [X114] :
      ( c3_1(X114)
      | ~ c0_1(X114)
      | c2_1(X114)
      | ~ ndr1_0
      | ~ hskp31
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f373,plain,
    ! [X115] :
      ( c3_1(X115)
      | ~ c1_1(X115)
      | c2_1(X115)
      | ~ ndr1_0
      | ~ hskp8
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f376,plain,
    ( ~ hskp25
    | ~ hskp18
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f380,plain,
    ( ~ hskp24
    | ~ hskp1
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f381,plain,
    ( ~ hskp7
    | hskp14
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f382,plain,
    ( ~ hskp29
    | ~ hskp18
    | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f384,plain,
    ( ~ hskp22
    | ~ hskp8
    | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f385,plain,
    ( ~ hskp18
    | ~ hskp11
    | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f393,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,[],[f352]) ).

fof(f394,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,[],[f351]) ).

fof(f397,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,[],[f344]) ).

fof(f401,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,[],[f338]) ).

fof(f406,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,[],[f326]) ).

fof(f408,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,[],[f324]) ).

fof(f409,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,[],[f322]) ).

fof(f411,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | ~ c0_1(X30)
      | ~ hskp29 ),
    inference(duplicate_literal_removal,[],[f319]) ).

fof(f413,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,[],[f317]) ).

fof(f417,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,[],[f312]) ).

fof(f418,plain,
    ! [X10,X11] :
      ( c0_1(X10)
      | c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | ~ c2_1(X11)
      | ~ c0_1(X11)
      | ~ c3_1(X11)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f311]) ).

fof(f420,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,[],[f309]) ).

fof(f421,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,[],[f308]) ).

fof(f423,definition,
    ( spl0_1
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f427,definition,
    ( spl0_2
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f431,definition,
    ( spl0_3
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f434,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f385,f431,f427,f423]) ).

fof(f436,definition,
    ( spl0_4
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f440,definition,
    ( spl0_5
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f443,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f384,f440,f436,f427]) ).

fof(f454,definition,
    ( spl0_8
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f458,definition,
    ( spl0_9
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f461,plain,
    ( ~ spl0_8
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f382,f458,f431,f454]) ).

fof(f463,definition,
    ( spl0_10
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f467,definition,
    ( spl0_11
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f470,plain,
    ( ~ spl0_4
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f381,f467,f463,f436]) ).

fof(f472,definition,
    ( spl0_12
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f476,definition,
    ( spl0_13
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f480,definition,
    ( spl0_14
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f483,plain,
    ( ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f380,f480,f476,f472]) ).

fof(f485,definition,
    ( spl0_15
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f489,definition,
    ( spl0_16
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f504,definition,
    ( spl0_19
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f508,definition,
    ( spl0_20
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f511,plain,
    ( ~ spl0_19
    | ~ spl0_3
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f376,f508,f431,f504]) ).

fof(f518,definition,
    ( spl0_22
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f522,definition,
    ( spl0_23
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f527,definition,
    ( spl0_24
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f531,definition,
    ( spl0_25
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f535,definition,
    ( spl0_26
  <=> ! [X115] :
        ( c3_1(X115)
        | c2_1(X115)
        | ~ c1_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f536,plain,
    ( ! [X115] :
        ( c3_1(X115)
        | c2_1(X115)
        | ~ c1_1(X115) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f537,plain,
    ( spl0_24
    | ~ spl0_4
    | ~ spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f373,f535,f531,f436,f527]) ).

fof(f539,definition,
    ( spl0_27
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f543,definition,
    ( spl0_28
  <=> ! [X114] :
        ( c3_1(X114)
        | c2_1(X114)
        | ~ c0_1(X114) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f544,plain,
    ( ! [X114] :
        ( c3_1(X114)
        | c2_1(X114)
        | ~ c0_1(X114) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f545,plain,
    ( ~ spl0_13
    | ~ spl0_27
    | ~ spl0_25
    | spl0_28 ),
    inference(avatar_split_clause,[],[f372,f543,f531,f539,f476]) ).

fof(f555,definition,
    ( spl0_31
  <=> ! [X112] :
        ( ~ c0_1(X112)
        | ~ c3_1(X112)
        | c2_1(X112) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f556,plain,
    ( ! [X112] :
        ( ~ c3_1(X112)
        | ~ c0_1(X112)
        | c2_1(X112) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f559,definition,
    ( spl0_32
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f563,definition,
    ( spl0_33
  <=> ! [X110] :
        ( ~ c2_1(X110)
        | ~ c1_1(X110)
        | ~ c0_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f564,plain,
    ( ! [X110] :
        ( ~ c2_1(X110)
        | ~ c1_1(X110)
        | ~ c0_1(X110) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f565,plain,
    ( ~ spl0_4
    | ~ spl0_32
    | ~ spl0_25
    | spl0_33 ),
    inference(avatar_split_clause,[],[f369,f563,f531,f559,f436]) ).

fof(f569,definition,
    ( spl0_34
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f588,definition,
    ( spl0_38
  <=> ! [X100] :
        ( ~ c2_1(X100)
        | ~ c0_1(X100)
        | c3_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f589,plain,
    ( ! [X100] :
        ( c3_1(X100)
        | ~ c0_1(X100)
        | ~ c2_1(X100) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f592,definition,
    ( spl0_39
  <=> ! [X99] :
        ( c1_1(X99)
        | ~ c3_1(X99)
        | c2_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f593,plain,
    ( ! [X99] :
        ( ~ c3_1(X99)
        | c1_1(X99)
        | c2_1(X99) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f594,plain,
    ( ~ spl0_5
    | ~ spl0_22
    | ~ spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f361,f592,f531,f518,f440]) ).

fof(f597,definition,
    ( spl0_40
  <=> ! [X96] :
        ( c1_1(X96)
        | ~ c3_1(X96)
        | ~ c0_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f598,plain,
    ( ! [X96] :
        ( ~ c3_1(X96)
        | c1_1(X96)
        | ~ c0_1(X96) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f612,definition,
    ( spl0_43
  <=> ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c2_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f613,plain,
    ( ! [X87] :
        ( ~ c3_1(X87)
        | c1_1(X87)
        | ~ c2_1(X87) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f615,plain,
    ( spl0_26
    | ~ spl0_25
    | spl0_43 ),
    inference(avatar_split_clause,[],[f393,f612,f531,f535]) ).

fof(f616,plain,
    ( spl0_23
    | spl0_40
    | ~ spl0_25
    | spl0_43 ),
    inference(avatar_split_clause,[],[f394,f612,f531,f597,f522]) ).

fof(f618,definition,
    ( spl0_44
  <=> ! [X82] :
        ( c1_1(X82)
        | ~ c0_1(X82)
        | ~ c2_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f619,plain,
    ( ! [X82] :
        ( ~ c2_1(X82)
        | ~ c0_1(X82)
        | c1_1(X82) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f620,plain,
    ( ~ spl0_5
    | spl0_16
    | ~ spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f350,f618,f531,f489,f440]) ).

fof(f629,definition,
    ( spl0_46
  <=> ! [X74] :
        ( c0_1(X74)
        | ~ c3_1(X74)
        | c2_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f630,plain,
    ( ! [X74] :
        ( ~ c3_1(X74)
        | c0_1(X74)
        | c2_1(X74) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f633,definition,
    ( spl0_47
  <=> ! [X73] :
        ( ~ c0_1(X73)
        | c2_1(X73)
        | ~ c1_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f634,plain,
    ( ! [X73] :
        ( c2_1(X73)
        | ~ c0_1(X73)
        | ~ c1_1(X73) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f635,plain,
    ( spl0_47
    | spl0_28
    | ~ spl0_25
    | spl0_46 ),
    inference(avatar_split_clause,[],[f397,f629,f531,f543,f633]) ).

fof(f638,definition,
    ( spl0_48
  <=> ! [X68] :
        ( c0_1(X68)
        | ~ c3_1(X68)
        | ~ c1_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f639,plain,
    ( ! [X68] :
        ( ~ c3_1(X68)
        | c0_1(X68)
        | ~ c1_1(X68) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f641,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_25
    | spl0_48 ),
    inference(avatar_split_clause,[],[f341,f638,f531,f476,f436]) ).

fof(f647,plain,
    ( ~ spl0_12
    | spl0_40
    | ~ spl0_25
    | spl0_48 ),
    inference(avatar_split_clause,[],[f401,f638,f531,f597,f472]) ).

fof(f649,definition,
    ( spl0_50
  <=> ! [X60] :
        ( c0_1(X60)
        | c2_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f650,plain,
    ( ! [X60] :
        ( c2_1(X60)
        | c0_1(X60)
        | ~ c1_1(X60) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f651,plain,
    ( ~ spl0_3
    | spl0_34
    | ~ spl0_25
    | spl0_50 ),
    inference(avatar_split_clause,[],[f337,f649,f531,f569,f431]) ).

fof(f653,definition,
    ( spl0_51
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f670,definition,
    ( spl0_55
  <=> ! [X55] :
        ( ~ c2_1(X55)
        | ~ c3_1(X55)
        | ~ c0_1(X55) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f671,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | ~ c2_1(X55)
        | ~ c0_1(X55) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f679,definition,
    ( spl0_57
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c1_1(X51)
        | ~ c2_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f680,plain,
    ( ! [X51] :
        ( ~ c2_1(X51)
        | ~ c1_1(X51)
        | c0_1(X51) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f682,plain,
    ( ~ spl0_19
    | ~ spl0_13
    | ~ spl0_25
    | spl0_57 ),
    inference(avatar_split_clause,[],[f329,f679,f531,f476,f504]) ).

fof(f685,plain,
    ( ~ spl0_2
    | spl0_39
    | ~ spl0_25
    | spl0_57 ),
    inference(avatar_split_clause,[],[f406,f679,f531,f592,f427]) ).

fof(f687,plain,
    ( spl0_43
    | spl0_44
    | ~ spl0_25
    | spl0_57 ),
    inference(avatar_split_clause,[],[f408,f679,f531,f618,f612]) ).

fof(f689,definition,
    ( spl0_58
  <=> ! [X37] :
        ( c0_1(X37)
        | c3_1(X37)
        | ~ c2_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f690,plain,
    ( ! [X37] :
        ( c3_1(X37)
        | c0_1(X37)
        | ~ c2_1(X37) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f692,plain,
    ( spl0_31
    | spl0_44
    | ~ spl0_25
    | spl0_58 ),
    inference(avatar_split_clause,[],[f409,f689,f531,f618,f555]) ).

fof(f694,definition,
    ( spl0_59
  <=> ! [X33] :
        ( c0_1(X33)
        | ~ c3_1(X33)
        | c1_1(X33) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f695,plain,
    ( ! [X33] :
        ( ~ c3_1(X33)
        | c0_1(X33)
        | c1_1(X33) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f701,plain,
    ( ~ spl0_9
    | spl0_38
    | ~ spl0_25
    | spl0_59 ),
    inference(avatar_split_clause,[],[f411,f694,f531,f588,f458]) ).

fof(f703,definition,
    ( spl0_61
  <=> ! [X28] :
        ( c1_1(X28)
        | c2_1(X28)
        | ~ c0_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f704,plain,
    ( ! [X28] :
        ( c2_1(X28)
        | c1_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f706,plain,
    ( spl0_28
    | spl0_58
    | ~ spl0_25
    | spl0_59 ),
    inference(avatar_split_clause,[],[f413,f694,f531,f689,f543]) ).

fof(f708,definition,
    ( spl0_62
  <=> ! [X23] :
        ( c0_1(X23)
        | c2_1(X23)
        | c1_1(X23) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f709,plain,
    ( ! [X23] :
        ( c2_1(X23)
        | c0_1(X23)
        | c1_1(X23) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f710,plain,
    ( ~ spl0_1
    | spl0_15
    | ~ spl0_25
    | spl0_62 ),
    inference(avatar_split_clause,[],[f316,f708,f531,f485,f423]) ).

fof(f717,plain,
    ( spl0_46
    | spl0_59
    | ~ spl0_25
    | spl0_62 ),
    inference(avatar_split_clause,[],[f417,f708,f531,f694,f629]) ).

fof(f719,definition,
    ( spl0_64
  <=> ! [X10] :
        ( c0_1(X10)
        | c3_1(X10)
        | c1_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f720,plain,
    ( ! [X10] :
        ( c3_1(X10)
        | c0_1(X10)
        | c1_1(X10) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f721,plain,
    ( spl0_51
    | spl0_55
    | ~ spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f418,f719,f531,f670,f653]) ).

fof(f723,plain,
    ( ~ spl0_9
    | spl0_58
    | ~ spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f420,f719,f531,f689,f458]) ).

fof(f724,plain,
    ( spl0_31
    | spl0_62
    | ~ spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f421,f719,f531,f708,f555]) ).

fof(f726,definition,
    ( spl0_65
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f727,plain,
    ( ! [X1] :
        ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f731,definition,
    ( spl0_66
  <=> c3_1(a723) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f733,plain,
    ( c3_1(a723)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f734,plain,
    ( spl0_66
    | spl0_27 ),
    inference(avatar_split_clause,[],[f305,f539,f731]) ).

fof(f736,definition,
    ( spl0_67
  <=> c1_1(a723) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f739,plain,
    ( spl0_67
    | spl0_27 ),
    inference(avatar_split_clause,[],[f304,f539,f736]) ).

fof(f741,definition,
    ( spl0_68
  <=> c0_1(a723) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f744,plain,
    ( spl0_68
    | spl0_27 ),
    inference(avatar_split_clause,[],[f303,f539,f741]) ).

fof(f752,definition,
    ( spl0_70
  <=> c2_1(a714) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f754,plain,
    ( ~ c2_1(a714)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f755,plain,
    ( ~ spl0_70
    | spl0_22 ),
    inference(avatar_split_clause,[],[f300,f518,f752]) ).

fof(f757,definition,
    ( spl0_71
  <=> c0_1(a714) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f760,plain,
    ( spl0_71
    | spl0_22 ),
    inference(avatar_split_clause,[],[f299,f518,f757]) ).

fof(f763,definition,
    ( spl0_72
  <=> c3_1(a709) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f765,plain,
    ( c3_1(a709)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f766,plain,
    ( spl0_72
    | spl0_9 ),
    inference(avatar_split_clause,[],[f297,f458,f763]) ).

fof(f768,definition,
    ( spl0_73
  <=> c2_1(a709) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f770,plain,
    ( ~ c2_1(a709)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( ~ spl0_73
    | spl0_9 ),
    inference(avatar_split_clause,[],[f296,f458,f768]) ).

fof(f773,definition,
    ( spl0_74
  <=> c1_1(a709) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f776,plain,
    ( spl0_74
    | spl0_9 ),
    inference(avatar_split_clause,[],[f295,f458,f773]) ).

fof(f779,definition,
    ( spl0_75
  <=> c2_1(a705) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f781,plain,
    ( ~ c2_1(a705)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f782,plain,
    ( ~ spl0_75
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f293,f569,f779]) ).

fof(f784,definition,
    ( spl0_76
  <=> c1_1(a705) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f787,plain,
    ( spl0_76
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f99,f569,f784]) ).

fof(f789,definition,
    ( spl0_77
  <=> c0_1(a705) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f792,plain,
    ( spl0_77
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f100,f569,f789]) ).

fof(f827,definition,
    ( spl0_84
  <=> c1_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f830,plain,
    ( ~ spl0_84
    | spl0_20 ),
    inference(avatar_split_clause,[],[f288,f508,f827]) ).

fof(f832,definition,
    ( spl0_85
  <=> c2_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f834,plain,
    ( ~ c2_1(a764)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f835,plain,
    ( ~ spl0_85
    | spl0_20 ),
    inference(avatar_split_clause,[],[f287,f508,f832]) ).

fof(f837,definition,
    ( spl0_86
  <=> c0_1(a764) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f840,plain,
    ( spl0_86
    | spl0_20 ),
    inference(avatar_split_clause,[],[f286,f508,f837]) ).

fof(f857,plain,
    ( spl0_25
    | spl0_14 ),
    inference(avatar_split_clause,[],[f281,f480,f531]) ).

fof(f859,definition,
    ( spl0_90
  <=> c2_1(a757) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f861,plain,
    ( c2_1(a757)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f862,plain,
    ( spl0_90
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f280,f522,f859]) ).

fof(f864,definition,
    ( spl0_91
  <=> c1_1(a757) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f867,plain,
    ( spl0_91
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f119,f522,f864]) ).

fof(f869,definition,
    ( spl0_92
  <=> c0_1(a757) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f872,plain,
    ( spl0_92
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f120,f522,f869]) ).

fof(f875,definition,
    ( spl0_93
  <=> c3_1(a756) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ c3_1(a756)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f878,plain,
    ( ~ spl0_93
    | spl0_5 ),
    inference(avatar_split_clause,[],[f279,f440,f875]) ).

fof(f880,definition,
    ( spl0_94
  <=> c2_1(a756) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f883,plain,
    ( ~ spl0_94
    | spl0_5 ),
    inference(avatar_split_clause,[],[f278,f440,f880]) ).

fof(f885,definition,
    ( spl0_95
  <=> c1_1(a756) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f888,plain,
    ( spl0_95
    | spl0_5 ),
    inference(avatar_split_clause,[],[f277,f440,f885]) ).

fof(f923,definition,
    ( spl0_102
  <=> c0_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f926,plain,
    ( ~ spl0_102
    | spl0_32 ),
    inference(avatar_split_clause,[],[f270,f559,f923]) ).

fof(f928,definition,
    ( spl0_103
  <=> c3_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f930,plain,
    ( c3_1(a741)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f931,plain,
    ( spl0_103
    | spl0_32 ),
    inference(avatar_split_clause,[],[f269,f559,f928]) ).

fof(f933,definition,
    ( spl0_104
  <=> c1_1(a741) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f936,plain,
    ( spl0_104
    | spl0_32 ),
    inference(avatar_split_clause,[],[f268,f559,f933]) ).

fof(f939,definition,
    ( spl0_105
  <=> c1_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f942,plain,
    ( ~ spl0_105
    | spl0_3 ),
    inference(avatar_split_clause,[],[f266,f431,f939]) ).

fof(f944,definition,
    ( spl0_106
  <=> c3_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f946,plain,
    ( c3_1(a739)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f947,plain,
    ( spl0_106
    | spl0_3 ),
    inference(avatar_split_clause,[],[f265,f431,f944]) ).

fof(f949,definition,
    ( spl0_107
  <=> c2_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f951,plain,
    ( ~ c2_1(a739)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f952,plain,
    ( ~ spl0_107
    | spl0_3 ),
    inference(avatar_split_clause,[],[f264,f431,f949]) ).

fof(f971,definition,
    ( spl0_111
  <=> c1_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f974,plain,
    ( ~ spl0_111
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f146,f489,f971]) ).

fof(f976,definition,
    ( spl0_112
  <=> c3_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f978,plain,
    ( c3_1(a732)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f979,plain,
    ( spl0_112
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f147,f489,f976]) ).

fof(f981,definition,
    ( spl0_113
  <=> c0_1(a732) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f984,plain,
    ( spl0_113
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f148,f489,f981]) ).

fof(f1003,definition,
    ( spl0_117
  <=> c2_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f1005,plain,
    ( c2_1(a730)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f1006,plain,
    ( spl0_117
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f254,f463,f1003]) ).

fof(f1008,definition,
    ( spl0_118
  <=> c3_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1010,plain,
    ( c3_1(a730)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f1011,plain,
    ( spl0_118
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f155,f463,f1008]) ).

fof(f1013,definition,
    ( spl0_119
  <=> c1_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1016,plain,
    ( spl0_119
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f156,f463,f1013]) ).

fof(f1035,definition,
    ( spl0_123
  <=> c1_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1037,plain,
    ( ~ c1_1(a725)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1038,plain,
    ( ~ spl0_123
    | spl0_19 ),
    inference(avatar_split_clause,[],[f252,f504,f1035]) ).

fof(f1040,definition,
    ( spl0_124
  <=> c0_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1043,plain,
    ( ~ spl0_124
    | spl0_19 ),
    inference(avatar_split_clause,[],[f251,f504,f1040]) ).

fof(f1045,definition,
    ( spl0_125
  <=> c2_1(a725) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1047,plain,
    ( ~ c2_1(a725)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f1045]) ).

fof(f1048,plain,
    ( ~ spl0_125
    | spl0_19 ),
    inference(avatar_split_clause,[],[f250,f504,f1045]) ).

fof(f1051,definition,
    ( spl0_126
  <=> c1_1(a721) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1054,plain,
    ( ~ spl0_126
    | spl0_2 ),
    inference(avatar_split_clause,[],[f248,f427,f1051]) ).

fof(f1056,definition,
    ( spl0_127
  <=> c0_1(a721) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1059,plain,
    ( ~ spl0_127
    | spl0_2 ),
    inference(avatar_split_clause,[],[f247,f427,f1056]) ).

fof(f1061,definition,
    ( spl0_128
  <=> c3_1(a721) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1063,plain,
    ( c3_1(a721)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1064,plain,
    ( spl0_128
    | spl0_2 ),
    inference(avatar_split_clause,[],[f246,f427,f1061]) ).

fof(f1067,definition,
    ( spl0_129
  <=> c2_1(a720) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1070,plain,
    ( spl0_129
    | spl0_8 ),
    inference(avatar_split_clause,[],[f244,f454,f1067]) ).

fof(f1072,definition,
    ( spl0_130
  <=> c1_1(a720) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1075,plain,
    ( ~ spl0_130
    | spl0_8 ),
    inference(avatar_split_clause,[],[f243,f454,f1072]) ).

fof(f1077,definition,
    ( spl0_131
  <=> c3_1(a720) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1079,plain,
    ( c3_1(a720)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f1080,plain,
    ( spl0_131
    | spl0_8 ),
    inference(avatar_split_clause,[],[f242,f454,f1077]) ).

fof(f1099,definition,
    ( spl0_135
  <=> c2_1(a718) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1101,plain,
    ( c2_1(a718)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f1102,plain,
    ( spl0_135
    | spl0_4 ),
    inference(avatar_split_clause,[],[f236,f436,f1099]) ).

fof(f1104,definition,
    ( spl0_136
  <=> c0_1(a718) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1107,plain,
    ( ~ spl0_136
    | spl0_4 ),
    inference(avatar_split_clause,[],[f235,f436,f1104]) ).

fof(f1109,definition,
    ( spl0_137
  <=> c1_1(a718) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1112,plain,
    ( spl0_137
    | spl0_4 ),
    inference(avatar_split_clause,[],[f234,f436,f1109]) ).

fof(f1120,definition,
    ( spl0_139
  <=> c2_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1122,plain,
    ( c2_1(a717)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1120]) ).

fof(f1123,plain,
    ( spl0_139
    | spl0_11 ),
    inference(avatar_split_clause,[],[f231,f467,f1120]) ).

fof(f1125,definition,
    ( spl0_140
  <=> c0_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1128,plain,
    ( spl0_140
    | spl0_11 ),
    inference(avatar_split_clause,[],[f230,f467,f1125]) ).

fof(f1147,definition,
    ( spl0_144
  <=> c3_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1149,plain,
    ( ~ c3_1(a713)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1147]) ).

fof(f1150,plain,
    ( ~ spl0_144
    | spl0_1 ),
    inference(avatar_split_clause,[],[f227,f423,f1147]) ).

fof(f1152,definition,
    ( spl0_145
  <=> c2_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1155,plain,
    ( spl0_145
    | spl0_1 ),
    inference(avatar_split_clause,[],[f226,f423,f1152]) ).

fof(f1157,definition,
    ( spl0_146
  <=> c0_1(a713) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1160,plain,
    ( ~ spl0_146
    | spl0_1 ),
    inference(avatar_split_clause,[],[f225,f423,f1157]) ).

fof(f1161,plain,
    ( spl0_25
    | spl0_1 ),
    inference(avatar_split_clause,[],[f224,f423,f531]) ).

fof(f1163,definition,
    ( spl0_147
  <=> c3_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1165,plain,
    ( ~ c3_1(a711)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f1163]) ).

fof(f1166,plain,
    ( ~ spl0_147
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f194,f485,f1163]) ).

fof(f1168,definition,
    ( spl0_148
  <=> c1_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1171,plain,
    ( ~ spl0_148
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f195,f485,f1168]) ).

fof(f1173,definition,
    ( spl0_149
  <=> c0_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1176,plain,
    ( spl0_149
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f196,f485,f1173]) ).

fof(f1179,definition,
    ( spl0_150
  <=> c3_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1181,plain,
    ( ~ c3_1(a710)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1179]) ).

fof(f1182,plain,
    ( ~ spl0_150
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f198,f653,f1179]) ).

fof(f1184,definition,
    ( spl0_151
  <=> c2_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1186,plain,
    ( c2_1(a710)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f1187,plain,
    ( spl0_151
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f223,f653,f1184]) ).

fof(f1189,definition,
    ( spl0_152
  <=> c1_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1192,plain,
    ( ~ spl0_152
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f200,f653,f1189]) ).

fof(f1195,definition,
    ( spl0_153
  <=> c3_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1197,plain,
    ( ~ c3_1(a708)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1195]) ).

fof(f1198,plain,
    ( ~ spl0_153
    | spl0_12 ),
    inference(avatar_split_clause,[],[f222,f472,f1195]) ).

fof(f1200,definition,
    ( spl0_154
  <=> c0_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1203,plain,
    ( ~ spl0_154
    | spl0_12 ),
    inference(avatar_split_clause,[],[f221,f472,f1200]) ).

fof(f1205,definition,
    ( spl0_155
  <=> c1_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1208,plain,
    ( spl0_155
    | spl0_12 ),
    inference(avatar_split_clause,[],[f220,f472,f1205]) ).

fof(f1209,plain,
    ( spl0_25
    | spl0_12 ),
    inference(avatar_split_clause,[],[f219,f472,f531]) ).

fof(f1211,definition,
    ( spl0_156
  <=> c2_1(a707) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1213,plain,
    ( c2_1(a707)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1211]) ).

fof(f1214,plain,
    ( spl0_156
    | spl0_13 ),
    inference(avatar_split_clause,[],[f218,f476,f1211]) ).

fof(f1216,definition,
    ( spl0_157
  <=> c1_1(a707) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1219,plain,
    ( ~ spl0_157
    | spl0_13 ),
    inference(avatar_split_clause,[],[f217,f476,f1216]) ).

fof(f1221,definition,
    ( spl0_158
  <=> c0_1(a707) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1224,plain,
    ( spl0_158
    | spl0_13 ),
    inference(avatar_split_clause,[],[f216,f476,f1221]) ).

fof(f1225,plain,
    ( spl0_25
    | spl0_13 ),
    inference(avatar_split_clause,[],[f215,f476,f531]) ).

fof(f1227,definition,
    ( spl0_159
  <=> c2_1(a706) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1229,plain,
    ( c2_1(a706)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1227]) ).

fof(f1230,plain,
    ( spl0_159
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f214,f527,f1227]) ).

fof(f1232,definition,
    ( spl0_160
  <=> c1_1(a706) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1234,plain,
    ( ~ c1_1(a706)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1232]) ).

fof(f1235,plain,
    ( ~ spl0_160
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f211,f527,f1232]) ).

fof(f1237,definition,
    ( spl0_161
  <=> c0_1(a706) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1240,plain,
    ( ~ spl0_161
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f212,f527,f1237]) ).

fof(f1242,plain,
    ( c2_1(a708)
    | ~ c1_1(a708)
    | ~ spl0_26
    | spl0_153 ),
    inference(resolution,[],[f536,f1197]) ).

fof(f1256,plain,
    ( c2_1(a756)
    | ~ c1_1(a756)
    | ~ spl0_26
    | spl0_93 ),
    inference(resolution,[],[f536,f877]) ).

fof(f1278,definition,
    ( spl0_165
  <=> c1_1(a717) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1289,plain,
    ( c2_1(a711)
    | ~ c0_1(a711)
    | ~ spl0_28
    | spl0_147 ),
    inference(resolution,[],[f544,f1165]) ).

fof(f1326,definition,
    ( spl0_171
  <=> c0_1(a710) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1330,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_31 ),
    inference(resolution,[],[f556,f544]) ).

fof(f1331,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(resolution,[],[f556,f536]) ).

fof(f1334,plain,
    ( ~ c0_1(a739)
    | c2_1(a739)
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(resolution,[],[f556,f946]) ).

fof(f1337,plain,
    ( ~ c0_1(a709)
    | c2_1(a709)
    | ~ spl0_31
    | ~ spl0_72 ),
    inference(resolution,[],[f556,f765]) ).

fof(f1338,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f1331]) ).

fof(f1339,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f1330]) ).

fof(f1341,definition,
    ( spl0_172
  <=> c0_1(a709) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1346,definition,
    ( spl0_173
  <=> c0_1(a739) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1350,plain,
    ( spl0_47
    | ~ spl0_26
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f1338,f555,f535,f633]) ).

fof(f1362,plain,
    ( ~ c0_1(a739)
    | ~ spl0_28
    | ~ spl0_31
    | spl0_107 ),
    inference(resolution,[],[f1339,f951]) ).

fof(f1367,plain,
    ( ~ c0_1(a764)
    | ~ spl0_28
    | ~ spl0_31
    | spl0_85 ),
    inference(resolution,[],[f1339,f834]) ).

fof(f1369,plain,
    ( ~ c0_1(a705)
    | ~ spl0_28
    | ~ spl0_31
    | spl0_75 ),
    inference(resolution,[],[f1339,f781]) ).

fof(f1370,plain,
    ( ~ c0_1(a709)
    | ~ spl0_28
    | ~ spl0_31
    | spl0_73 ),
    inference(resolution,[],[f1339,f770]) ).

fof(f1371,plain,
    ( ~ c0_1(a714)
    | ~ spl0_28
    | ~ spl0_31
    | spl0_70 ),
    inference(resolution,[],[f1339,f754]) ).

fof(f1374,plain,
    ( ~ c1_1(a730)
    | ~ c0_1(a730)
    | ~ spl0_33
    | ~ spl0_117 ),
    inference(resolution,[],[f564,f1005]) ).

fof(f1383,definition,
    ( spl0_175
  <=> c0_1(a730) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1386,plain,
    ( ~ spl0_175
    | ~ spl0_119
    | ~ spl0_33
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1374,f1003,f563,f1013,f1383]) ).

fof(f1437,plain,
    ( c1_1(a739)
    | c2_1(a739)
    | ~ spl0_39
    | ~ spl0_106 ),
    inference(resolution,[],[f593,f946]) ).

fof(f1450,definition,
    ( spl0_178
  <=> c2_1(a721) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1451,plain,
    ( ~ c2_1(a721)
    | spl0_178 ),
    inference(avatar_component_clause,[],[f1450]) ).

fof(f1459,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_40 ),
    inference(resolution,[],[f598,f544]) ).

fof(f1467,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_28
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f1459]) ).

fof(f1470,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_38
    | ~ spl0_43 ),
    inference(resolution,[],[f613,f589]) ).

fof(f1474,plain,
    ( c1_1(a721)
    | ~ c2_1(a721)
    | ~ spl0_43
    | ~ spl0_128 ),
    inference(resolution,[],[f613,f1063]) ).

fof(f1481,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_38
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1470]) ).

fof(f1485,plain,
    ( ~ c1_1(a757)
    | ~ c0_1(a757)
    | ~ spl0_33
    | ~ spl0_90 ),
    inference(resolution,[],[f861,f564]) ).

fof(f1497,definition,
    ( spl0_179
  <=> c2_1(a708) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1499,plain,
    ( c2_1(a708)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1497]) ).

fof(f1503,definition,
    ( spl0_180
  <=> c2_1(a711) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1504,plain,
    ( c2_1(a711)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1503]) ).

fof(f1511,plain,
    ( ~ spl0_92
    | ~ spl0_91
    | ~ spl0_33
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1485,f859,f563,f864,f869]) ).

fof(f1512,plain,
    ( ~ spl0_149
    | spl0_180
    | ~ spl0_28
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1289,f1163,f543,f1503,f1173]) ).

fof(f1513,plain,
    ( spl0_61
    | ~ spl0_28
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1467,f597,f543,f703]) ).

fof(f1517,plain,
    ( ~ c0_1(a707)
    | c1_1(a707)
    | ~ spl0_44
    | ~ spl0_156 ),
    inference(resolution,[],[f1213,f619]) ).

fof(f1519,plain,
    ( spl0_157
    | ~ spl0_158
    | ~ spl0_44
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1517,f1211,f618,f1221,f1216]) ).

fof(f1523,plain,
    ( ~ c0_1(a711)
    | c1_1(a711)
    | ~ spl0_44
    | ~ spl0_180 ),
    inference(resolution,[],[f1504,f619]) ).

fof(f1525,plain,
    ( spl0_148
    | ~ spl0_149
    | ~ spl0_44
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f1523,f1503,f618,f1173,f1168]) ).

fof(f1608,plain,
    ( ~ spl0_178
    | spl0_126
    | ~ spl0_43
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1474,f1061,f612,f1051,f1450]) ).

fof(f1618,plain,
    ( ~ c0_1(a717)
    | c1_1(a717)
    | ~ spl0_44
    | ~ spl0_139 ),
    inference(resolution,[],[f1122,f619]) ).

fof(f1619,plain,
    ( ~ c1_1(a717)
    | ~ c0_1(a717)
    | ~ spl0_33
    | ~ spl0_139 ),
    inference(resolution,[],[f1122,f564]) ).

fof(f1621,plain,
    ( ~ spl0_140
    | ~ spl0_165
    | ~ spl0_33
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1619,f1120,f563,f1278,f1125]) ).

fof(f1624,plain,
    ( ~ c0_1(a710)
    | c1_1(a710)
    | ~ spl0_44
    | ~ spl0_151 ),
    inference(resolution,[],[f1186,f619]) ).

fof(f1670,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_46 ),
    inference(resolution,[],[f630,f536]) ).

fof(f1674,plain,
    ( c0_1(a721)
    | c2_1(a721)
    | ~ spl0_46
    | ~ spl0_128 ),
    inference(resolution,[],[f630,f1063]) ).

fof(f1688,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1670]) ).

fof(f1750,plain,
    ( c0_1(a730)
    | ~ c1_1(a730)
    | ~ spl0_48
    | ~ spl0_118 ),
    inference(resolution,[],[f639,f1010]) ).

fof(f1769,plain,
    ( ~ spl0_119
    | spl0_175
    | ~ spl0_48
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1750,f1008,f638,f1383,f1013]) ).

fof(f1818,plain,
    ( c0_1(a709)
    | ~ c1_1(a709)
    | ~ spl0_50
    | spl0_73 ),
    inference(resolution,[],[f650,f770]) ).

fof(f1856,plain,
    ( ~ c2_1(a723)
    | ~ c0_1(a723)
    | ~ spl0_55
    | ~ spl0_66 ),
    inference(resolution,[],[f671,f733]) ).

fof(f1861,definition,
    ( spl0_185
  <=> c2_1(a723) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f1863,plain,
    ( ~ c2_1(a723)
    | spl0_185 ),
    inference(avatar_component_clause,[],[f1861]) ).

fof(f1893,plain,
    ( ~ c1_1(a708)
    | c0_1(a708)
    | ~ spl0_57
    | ~ spl0_179 ),
    inference(resolution,[],[f680,f1499]) ).

fof(f1897,plain,
    ( ~ c1_1(a718)
    | c0_1(a718)
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(resolution,[],[f680,f1101]) ).

fof(f1912,plain,
    ( spl0_154
    | ~ spl0_155
    | ~ spl0_57
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1893,f1497,f679,f1205,f1200]) ).

fof(f1946,plain,
    ( ~ spl0_74
    | spl0_172
    | ~ spl0_50
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1818,f768,f649,f1341,f773]) ).

fof(f1959,plain,
    ( ~ spl0_173
    | ~ spl0_28
    | ~ spl0_31
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1362,f949,f555,f543,f1346]) ).

fof(f1961,plain,
    ( ~ spl0_86
    | ~ spl0_28
    | ~ spl0_31
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1367,f832,f555,f543,f837]) ).

fof(f1963,plain,
    ( ~ spl0_77
    | ~ spl0_28
    | ~ spl0_31
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1369,f779,f555,f543,f789]) ).

fof(f1964,plain,
    ( ~ spl0_172
    | ~ spl0_28
    | ~ spl0_31
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1370,f768,f555,f543,f1341]) ).

fof(f1965,plain,
    ( ~ spl0_71
    | ~ spl0_28
    | ~ spl0_31
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1371,f752,f555,f543,f757]) ).

fof(f2011,plain,
    ( c1_1(a720)
    | ~ c2_1(a720)
    | ~ spl0_43
    | ~ spl0_131 ),
    inference(resolution,[],[f613,f1079]) ).

fof(f2046,plain,
    ( ~ c0_1(a705)
    | ~ c1_1(a705)
    | ~ spl0_47
    | spl0_75 ),
    inference(resolution,[],[f634,f781]) ).

fof(f2048,plain,
    ( ~ c0_1(a723)
    | ~ c1_1(a723)
    | ~ spl0_47
    | spl0_185 ),
    inference(resolution,[],[f634,f1863]) ).

fof(f2065,plain,
    ( c0_1(a741)
    | ~ c1_1(a741)
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(resolution,[],[f639,f930]) ).

fof(f2091,plain,
    ( c1_1(a732)
    | ~ c0_1(a732)
    | ~ spl0_40
    | ~ spl0_112 ),
    inference(resolution,[],[f598,f978]) ).

fof(f2092,plain,
    ( c1_1(a739)
    | ~ c0_1(a739)
    | ~ spl0_40
    | ~ spl0_106 ),
    inference(resolution,[],[f598,f946]) ).

fof(f2125,plain,
    ( spl0_44
    | ~ spl0_38
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1481,f612,f588,f618]) ).

fof(f2148,plain,
    ( ~ c0_1(a709)
    | ~ c1_1(a709)
    | ~ spl0_47
    | spl0_73 ),
    inference(resolution,[],[f770,f634]) ).

fof(f2253,plain,
    ( spl0_136
    | ~ spl0_137
    | ~ spl0_57
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1897,f1099,f679,f1109,f1104]) ).

fof(f2262,plain,
    ( spl0_178
    | spl0_127
    | ~ spl0_46
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1674,f1061,f629,f1056,f1450]) ).

fof(f2271,plain,
    ( ~ spl0_129
    | spl0_130
    | ~ spl0_43
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2011,f1077,f612,f1072,f1067]) ).

fof(f2348,plain,
    ( c0_1(a739)
    | c2_1(a739)
    | ~ spl0_46
    | ~ spl0_106 ),
    inference(resolution,[],[f630,f946]) ).

fof(f2352,plain,
    ( c0_1(a709)
    | c2_1(a709)
    | ~ spl0_46
    | ~ spl0_72 ),
    inference(resolution,[],[f630,f765]) ).

fof(f2360,plain,
    ( ~ spl0_104
    | spl0_102
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2065,f928,f638,f923,f933]) ).

fof(f2420,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_43
    | ~ spl0_58 ),
    inference(resolution,[],[f690,f613]) ).

fof(f2422,plain,
    ( c0_1(a710)
    | ~ c2_1(a710)
    | ~ spl0_58
    | spl0_150 ),
    inference(resolution,[],[f690,f1181]) ).

fof(f2424,plain,
    ( c0_1(a713)
    | ~ c2_1(a713)
    | ~ spl0_58
    | spl0_144 ),
    inference(resolution,[],[f690,f1149]) ).

fof(f2436,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_43
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f2420]) ).

fof(f2443,plain,
    ( ~ spl0_145
    | spl0_146
    | ~ spl0_58
    | spl0_144 ),
    inference(avatar_split_clause,[],[f2424,f1147,f689,f1157,f1152]) ).

fof(f2444,plain,
    ( ~ spl0_151
    | spl0_171
    | ~ spl0_58
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2422,f1179,f689,f1326,f1184]) ).

fof(f2454,plain,
    ( c0_1(a721)
    | c1_1(a721)
    | ~ spl0_59
    | ~ spl0_128 ),
    inference(resolution,[],[f695,f1063]) ).

fof(f2457,plain,
    ( c0_1(a739)
    | c1_1(a739)
    | ~ spl0_59
    | ~ spl0_106 ),
    inference(resolution,[],[f695,f946]) ).

fof(f2483,plain,
    ( c1_1(a764)
    | ~ c0_1(a764)
    | ~ spl0_61
    | spl0_85 ),
    inference(resolution,[],[f704,f834]) ).

fof(f2492,plain,
    ( ~ spl0_86
    | spl0_84
    | ~ spl0_61
    | spl0_85 ),
    inference(avatar_split_clause,[],[f2483,f832,f703,f827,f837]) ).

fof(f2502,plain,
    ( c0_1(a721)
    | c1_1(a721)
    | ~ spl0_62
    | spl0_178 ),
    inference(resolution,[],[f709,f1451]) ).

fof(f2503,plain,
    ( c0_1(a725)
    | c1_1(a725)
    | ~ spl0_62
    | spl0_125 ),
    inference(resolution,[],[f709,f1047]) ).

fof(f2508,plain,
    ( c0_1(a739)
    | c1_1(a739)
    | ~ spl0_62
    | spl0_107 ),
    inference(resolution,[],[f709,f951]) ).

fof(f2521,plain,
    ( spl0_123
    | spl0_124
    | ~ spl0_62
    | spl0_125 ),
    inference(avatar_split_clause,[],[f2503,f1045,f708,f1040,f1035]) ).

fof(f2542,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_59
    | ~ spl0_64 ),
    inference(resolution,[],[f720,f695]) ).

fof(f2544,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_46
    | ~ spl0_64 ),
    inference(resolution,[],[f720,f630]) ).

fof(f2561,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_46
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f2544]) ).

fof(f2563,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_59
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f2542]) ).

fof(f2564,plain,
    ( c0_1(a706)
    | ~ spl0_59
    | ~ spl0_64
    | spl0_160 ),
    inference(resolution,[],[f2563,f1234]) ).

fof(f2572,plain,
    ( c0_1(a725)
    | ~ spl0_59
    | ~ spl0_64
    | spl0_123 ),
    inference(resolution,[],[f2563,f1037]) ).

fof(f2581,plain,
    ( spl0_161
    | ~ spl0_59
    | ~ spl0_64
    | spl0_160 ),
    inference(avatar_split_clause,[],[f2564,f1232,f719,f694,f1237]) ).

fof(f2583,plain,
    ( c0_1(a706)
    | c1_1(a706)
    | ~ spl0_65
    | ~ spl0_159 ),
    inference(resolution,[],[f727,f1229]) ).

fof(f2594,plain,
    ( spl0_160
    | spl0_161
    | ~ spl0_65
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2583,f1227,f726,f1237,f1232]) ).

fof(f2595,plain,
    ( spl0_65
    | ~ spl0_43
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f2436,f689,f612,f726]) ).

fof(f2606,plain,
    ( spl0_105
    | spl0_173
    | ~ spl0_59
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2457,f944,f694,f1346,f939]) ).

fof(f2607,plain,
    ( spl0_105
    | spl0_173
    | ~ spl0_62
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2508,f949,f708,f1346,f939]) ).

fof(f2608,plain,
    ( spl0_126
    | spl0_127
    | ~ spl0_59
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2454,f1061,f694,f1056,f1051]) ).

fof(f2609,plain,
    ( spl0_126
    | spl0_127
    | ~ spl0_62
    | spl0_178 ),
    inference(avatar_split_clause,[],[f2502,f1450,f708,f1056,f1051]) ).

fof(f2610,plain,
    ( ~ spl0_155
    | spl0_179
    | ~ spl0_26
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1242,f1195,f535,f1497,f1205]) ).

fof(f2614,plain,
    ( ~ spl0_95
    | spl0_94
    | ~ spl0_26
    | spl0_93 ),
    inference(avatar_split_clause,[],[f1256,f875,f535,f880,f885]) ).

fof(f2618,plain,
    ( spl0_50
    | ~ spl0_26
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1688,f629,f535,f649]) ).

fof(f2620,plain,
    ( spl0_107
    | spl0_105
    | ~ spl0_39
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1437,f944,f592,f939,f949]) ).

fof(f2627,plain,
    ( ~ spl0_113
    | spl0_111
    | ~ spl0_40
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2091,f976,f597,f971,f981]) ).

fof(f2628,plain,
    ( ~ spl0_173
    | spl0_105
    | ~ spl0_40
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2092,f944,f597,f939,f1346]) ).

fof(f2633,plain,
    ( spl0_165
    | ~ spl0_140
    | ~ spl0_44
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1618,f1120,f618,f1125,f1278]) ).

fof(f2634,plain,
    ( spl0_152
    | ~ spl0_171
    | ~ spl0_44
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1624,f1184,f618,f1326,f1189]) ).

fof(f2639,plain,
    ( spl0_62
    | ~ spl0_46
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2561,f719,f629,f708]) ).

fof(f2641,plain,
    ( spl0_107
    | spl0_173
    | ~ spl0_46
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2348,f944,f629,f1346,f949]) ).

fof(f2643,plain,
    ( spl0_73
    | spl0_172
    | ~ spl0_46
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2352,f763,f629,f1341,f768]) ).

fof(f2644,plain,
    ( ~ spl0_68
    | ~ spl0_185
    | ~ spl0_55
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1856,f731,f670,f1861,f741]) ).

fof(f2654,plain,
    ( spl0_124
    | ~ spl0_59
    | ~ spl0_64
    | spl0_123 ),
    inference(avatar_split_clause,[],[f2572,f1035,f719,f694,f1040]) ).

fof(f2662,plain,
    ( spl0_107
    | ~ spl0_173
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1334,f944,f555,f1346,f949]) ).

fof(f2663,plain,
    ( spl0_73
    | ~ spl0_172
    | ~ spl0_31
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1337,f763,f555,f1341,f768]) ).

fof(f2667,plain,
    ( ~ spl0_76
    | ~ spl0_77
    | ~ spl0_47
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2046,f779,f633,f789,f784]) ).

fof(f2669,plain,
    ( ~ spl0_67
    | ~ spl0_68
    | ~ spl0_47
    | spl0_185 ),
    inference(avatar_split_clause,[],[f2048,f1861,f633,f741,f736]) ).

fof(f2670,plain,
    ( ~ spl0_74
    | ~ spl0_172
    | ~ spl0_47
    | spl0_73 ),
    inference(avatar_split_clause,[],[f2148,f768,f633,f1341,f773]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s2,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s5,plain,
    ( ~ spl0_4
    | spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s6,plain,
    ( ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s10,plain,
    ( ~ spl0_3
    | ~ spl0_19
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s13,plain,
    ( ~ spl0_4
    | spl0_24
    | ~ spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s14,plain,
    ( ~ spl0_13
    | ~ spl0_25
    | ~ spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s17,plain,
    ( ~ spl0_4
    | ~ spl0_25
    | ~ spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s25,plain,
    ( ~ spl0_5
    | ~ spl0_22
    | ~ spl0_25
    | spl0_39 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s34,plain,
    ( ~ spl0_25
    | spl0_26
    | spl0_43 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s35,plain,
    ( spl0_23
    | ~ spl0_25
    | spl0_40
    | spl0_43 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s36,plain,
    ( ~ spl0_5
    | spl0_16
    | ~ spl0_25
    | spl0_44 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s42,plain,
    ( ~ spl0_25
    | spl0_28
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s45,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_25
    | spl0_48 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s48,plain,
    ( ~ spl0_12
    | ~ spl0_25
    | spl0_40
    | spl0_48 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | ~ spl0_25
    | spl0_34
    | spl0_50 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s57,plain,
    ( ~ spl0_13
    | ~ spl0_19
    | ~ spl0_25
    | spl0_57 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s60,plain,
    ( ~ spl0_2
    | ~ spl0_25
    | spl0_39
    | spl0_57 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s62,plain,
    ( ~ spl0_25
    | spl0_43
    | spl0_44
    | spl0_57 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s64,plain,
    ( ~ spl0_25
    | spl0_31
    | spl0_44
    | spl0_58 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s67,plain,
    ( ~ spl0_9
    | ~ spl0_25
    | spl0_38
    | spl0_59 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s69,plain,
    ( ~ spl0_25
    | spl0_28
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s70,plain,
    ( ~ spl0_1
    | spl0_15
    | ~ spl0_25
    | spl0_62 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s74,plain,
    ( ~ spl0_25
    | spl0_46
    | spl0_59
    | spl0_62 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s75,plain,
    ( ~ spl0_25
    | spl0_51
    | spl0_55
    | spl0_64 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s77,plain,
    ( ~ spl0_9
    | ~ spl0_25
    | spl0_58
    | spl0_64 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s78,plain,
    ( ~ spl0_25
    | spl0_31
    | spl0_62
    | spl0_64 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s81,plain,
    ( spl0_27
    | spl0_66 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s82,plain,
    ( spl0_27
    | spl0_67 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s83,plain,
    ( spl0_27
    | spl0_68 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s86,plain,
    ( spl0_22
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s87,plain,
    ( spl0_22
    | spl0_71 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s89,plain,
    ( spl0_9
    | spl0_72 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s90,plain,
    ( spl0_9
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s91,plain,
    ( spl0_9
    | spl0_74 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s93,plain,
    ( ~ spl0_34
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s94,plain,
    ( ~ spl0_34
    | spl0_76 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s95,plain,
    ( ~ spl0_34
    | spl0_77 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s105,plain,
    ( spl0_20
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s106,plain,
    ( spl0_20
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s107,plain,
    ( spl0_20
    | spl0_86 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s112,plain,
    ( spl0_14
    | spl0_25 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s113,plain,
    ( ~ spl0_23
    | spl0_90 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s114,plain,
    ( ~ spl0_23
    | spl0_91 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s115,plain,
    ( ~ spl0_23
    | spl0_92 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s117,plain,
    ( spl0_5
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s118,plain,
    ( spl0_5
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s119,plain,
    ( spl0_5
    | spl0_95 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s129,plain,
    ( spl0_32
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s130,plain,
    ( spl0_32
    | spl0_103 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s131,plain,
    ( spl0_32
    | spl0_104 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s133,plain,
    ( spl0_3
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s134,plain,
    ( spl0_3
    | spl0_106 ),
    inference(sat_conversion,[],[f947]) ).

cnf(s135,plain,
    ( spl0_3
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f952]) ).

cnf(s141,plain,
    ( ~ spl0_16
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s142,plain,
    ( ~ spl0_16
    | spl0_112 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s143,plain,
    ( ~ spl0_16
    | spl0_113 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s149,plain,
    ( ~ spl0_10
    | spl0_117 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s150,plain,
    ( ~ spl0_10
    | spl0_118 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s151,plain,
    ( ~ spl0_10
    | spl0_119 ),
    inference(sat_conversion,[],[f1016]) ).

cnf(s157,plain,
    ( spl0_19
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s158,plain,
    ( spl0_19
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s159,plain,
    ( spl0_19
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1048]) ).

cnf(s161,plain,
    ( spl0_2
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s162,plain,
    ( spl0_2
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s163,plain,
    ( spl0_2
    | spl0_128 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s165,plain,
    ( spl0_8
    | spl0_129 ),
    inference(sat_conversion,[],[f1070]) ).

cnf(s166,plain,
    ( spl0_8
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s167,plain,
    ( spl0_8
    | spl0_131 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s173,plain,
    ( spl0_4
    | spl0_135 ),
    inference(sat_conversion,[],[f1102]) ).

cnf(s174,plain,
    ( spl0_4
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1107]) ).

cnf(s175,plain,
    ( spl0_4
    | spl0_137 ),
    inference(sat_conversion,[],[f1112]) ).

cnf(s178,plain,
    ( spl0_11
    | spl0_139 ),
    inference(sat_conversion,[],[f1123]) ).

cnf(s179,plain,
    ( spl0_11
    | spl0_140 ),
    inference(sat_conversion,[],[f1128]) ).

cnf(s185,plain,
    ( spl0_1
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1150]) ).

cnf(s186,plain,
    ( spl0_1
    | spl0_145 ),
    inference(sat_conversion,[],[f1155]) ).

cnf(s187,plain,
    ( spl0_1
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1160]) ).

cnf(s188,plain,
    ( spl0_1
    | spl0_25 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s189,plain,
    ( ~ spl0_15
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s190,plain,
    ( ~ spl0_15
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1171]) ).

cnf(s191,plain,
    ( ~ spl0_15
    | spl0_149 ),
    inference(sat_conversion,[],[f1176]) ).

cnf(s193,plain,
    ( ~ spl0_51
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1182]) ).

cnf(s194,plain,
    ( ~ spl0_51
    | spl0_151 ),
    inference(sat_conversion,[],[f1187]) ).

cnf(s195,plain,
    ( ~ spl0_51
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1192]) ).

cnf(s197,plain,
    ( spl0_12
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1198]) ).

cnf(s198,plain,
    ( spl0_12
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1203]) ).

cnf(s199,plain,
    ( spl0_12
    | spl0_155 ),
    inference(sat_conversion,[],[f1208]) ).

cnf(s200,plain,
    ( spl0_12
    | spl0_25 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s201,plain,
    ( spl0_13
    | spl0_156 ),
    inference(sat_conversion,[],[f1214]) ).

cnf(s202,plain,
    ( spl0_13
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1219]) ).

cnf(s203,plain,
    ( spl0_13
    | spl0_158 ),
    inference(sat_conversion,[],[f1224]) ).

cnf(s204,plain,
    ( spl0_13
    | spl0_25 ),
    inference(sat_conversion,[],[f1225]) ).

cnf(s205,plain,
    ( ~ spl0_24
    | spl0_159 ),
    inference(sat_conversion,[],[f1230]) ).

cnf(s206,plain,
    ( ~ spl0_24
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1235]) ).

cnf(s207,plain,
    ( ~ spl0_24
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s222,plain,
    ( ~ spl0_26
    | ~ spl0_31
    | spl0_47 ),
    inference(sat_conversion,[],[f1350]) ).

cnf(s224,plain,
    ( ~ spl0_33
    | ~ spl0_117
    | ~ spl0_119
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1386]) ).

cnf(s240,plain,
    ( ~ spl0_33
    | ~ spl0_90
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f1511]) ).

cnf(s241,plain,
    ( ~ spl0_28
    | spl0_147
    | ~ spl0_149
    | spl0_180 ),
    inference(sat_conversion,[],[f1512]) ).

cnf(s242,plain,
    ( ~ spl0_28
    | ~ spl0_40
    | spl0_61 ),
    inference(sat_conversion,[],[f1513]) ).

cnf(s244,plain,
    ( ~ spl0_44
    | ~ spl0_156
    | spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1519]) ).

cnf(s245,plain,
    ( ~ spl0_44
    | spl0_148
    | ~ spl0_149
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s262,plain,
    ( ~ spl0_43
    | spl0_126
    | ~ spl0_128
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1608]) ).

cnf(s271,plain,
    ( ~ spl0_33
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1621]) ).

cnf(s291,plain,
    ( ~ spl0_48
    | ~ spl0_118
    | ~ spl0_119
    | spl0_175 ),
    inference(sat_conversion,[],[f1769]) ).

cnf(s312,plain,
    ( ~ spl0_57
    | spl0_154
    | ~ spl0_155
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1912]) ).

cnf(s329,plain,
    ( ~ spl0_50
    | spl0_73
    | ~ spl0_74
    | spl0_172 ),
    inference(sat_conversion,[],[f1946]) ).

cnf(s340,plain,
    ( ~ spl0_28
    | ~ spl0_31
    | spl0_107
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1959]) ).

cnf(s342,plain,
    ( ~ spl0_28
    | ~ spl0_31
    | spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f1961]) ).

cnf(s344,plain,
    ( ~ spl0_28
    | ~ spl0_31
    | spl0_75
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f1963]) ).

cnf(s345,plain,
    ( ~ spl0_28
    | ~ spl0_31
    | spl0_73
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1964]) ).

cnf(s346,plain,
    ( ~ spl0_28
    | ~ spl0_31
    | spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f1965]) ).

cnf(s383,plain,
    ( ~ spl0_38
    | ~ spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f2125]) ).

cnf(s429,plain,
    ( ~ spl0_57
    | ~ spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2253]) ).

cnf(s438,plain,
    ( ~ spl0_46
    | spl0_127
    | ~ spl0_128
    | spl0_178 ),
    inference(sat_conversion,[],[f2262]) ).

cnf(s447,plain,
    ( ~ spl0_43
    | ~ spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2271]) ).

cnf(s461,plain,
    ( ~ spl0_48
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f2360]) ).

cnf(s478,plain,
    ( ~ spl0_58
    | spl0_144
    | ~ spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f2443]) ).

cnf(s479,plain,
    ( ~ spl0_58
    | spl0_150
    | ~ spl0_151
    | spl0_171 ),
    inference(sat_conversion,[],[f2444]) ).

cnf(s484,plain,
    ( ~ spl0_61
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f2492]) ).

cnf(s488,plain,
    ( ~ spl0_62
    | spl0_123
    | spl0_124
    | spl0_125 ),
    inference(sat_conversion,[],[f2521]) ).

cnf(s494,plain,
    ( ~ spl0_59
    | ~ spl0_64
    | spl0_160
    | spl0_161 ),
    inference(sat_conversion,[],[f2581]) ).

cnf(s495,plain,
    ( ~ spl0_65
    | ~ spl0_159
    | spl0_160
    | spl0_161 ),
    inference(sat_conversion,[],[f2594]) ).

cnf(s496,plain,
    ( ~ spl0_43
    | ~ spl0_58
    | spl0_65 ),
    inference(sat_conversion,[],[f2595]) ).

cnf(s510,plain,
    ( ~ spl0_59
    | spl0_105
    | ~ spl0_106
    | spl0_173 ),
    inference(sat_conversion,[],[f2606]) ).

cnf(s511,plain,
    ( ~ spl0_62
    | spl0_105
    | spl0_107
    | spl0_173 ),
    inference(sat_conversion,[],[f2607]) ).

cnf(s512,plain,
    ( ~ spl0_59
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2608]) ).

cnf(s513,plain,
    ( ~ spl0_62
    | spl0_126
    | spl0_127
    | spl0_178 ),
    inference(sat_conversion,[],[f2609]) ).

cnf(s514,plain,
    ( ~ spl0_26
    | spl0_153
    | ~ spl0_155
    | spl0_179 ),
    inference(sat_conversion,[],[f2610]) ).

cnf(s518,plain,
    ( ~ spl0_26
    | spl0_93
    | spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f2614]) ).

cnf(s522,plain,
    ( ~ spl0_26
    | ~ spl0_46
    | spl0_50 ),
    inference(sat_conversion,[],[f2618]) ).

cnf(s524,plain,
    ( ~ spl0_39
    | spl0_105
    | ~ spl0_106
    | spl0_107 ),
    inference(sat_conversion,[],[f2620]) ).

cnf(s531,plain,
    ( ~ spl0_40
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2627]) ).

cnf(s532,plain,
    ( ~ spl0_40
    | spl0_105
    | ~ spl0_106
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2628]) ).

cnf(s537,plain,
    ( ~ spl0_44
    | ~ spl0_139
    | ~ spl0_140
    | spl0_165 ),
    inference(sat_conversion,[],[f2633]) ).

cnf(s538,plain,
    ( ~ spl0_44
    | ~ spl0_151
    | spl0_152
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2634]) ).

cnf(s543,plain,
    ( ~ spl0_46
    | spl0_62
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f2639]) ).

cnf(s545,plain,
    ( ~ spl0_46
    | ~ spl0_106
    | spl0_107
    | spl0_173 ),
    inference(sat_conversion,[],[f2641]) ).

cnf(s547,plain,
    ( ~ spl0_46
    | ~ spl0_72
    | spl0_73
    | spl0_172 ),
    inference(sat_conversion,[],[f2643]) ).

cnf(s548,plain,
    ( ~ spl0_55
    | ~ spl0_66
    | ~ spl0_68
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f2644]) ).

cnf(s558,plain,
    ( ~ spl0_59
    | ~ spl0_64
    | spl0_123
    | spl0_124 ),
    inference(sat_conversion,[],[f2654]) ).

cnf(s566,plain,
    ( ~ spl0_31
    | ~ spl0_106
    | spl0_107
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2662]) ).

cnf(s567,plain,
    ( ~ spl0_31
    | ~ spl0_72
    | spl0_73
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2663]) ).

cnf(s571,plain,
    ( ~ spl0_47
    | spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f2667]) ).

cnf(s573,plain,
    ( ~ spl0_47
    | ~ spl0_67
    | ~ spl0_68
    | spl0_185 ),
    inference(sat_conversion,[],[f2669]) ).

cnf(s574,plain,
    ( ~ spl0_47
    | spl0_73
    | ~ spl0_74
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2670]) ).

cnf(s579,plain,
    ( spl0_178
    | spl0_2
    | ~ spl0_25 ),
    inference(rat,[],[s74,s513,s438,s512,s161,s162,s163]) ).

cnf(s580,plain,
    ( spl0_5
    | ~ spl0_26 ),
    inference(rat,[],[s518,s117,s118,s119]) ).

cnf(s581,plain,
    ( ~ spl0_34
    | ~ spl0_47 ),
    inference(rat,[],[s571,s93,s94,s95]) ).

cnf(s586,plain,
    ( spl0_13
    | ~ spl0_44 ),
    inference(rat,[],[s244,s201,s202,s203]) ).

cnf(s587,plain,
    ( spl0_62
    | spl0_31
    | spl0_59
    | ~ spl0_25 ),
    inference(rat,[],[s543,s78,s74]) ).

cnf(s588,plain,
    ( spl0_19
    | ~ spl0_62 ),
    inference(rat,[],[s488,s157,s158,s159]) ).

cnf(s589,plain,
    ( ~ spl0_4
    | spl0_33
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(rat,[],[s461,s129,s130,s131,s17,s45]) ).

cnf(s590,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s173,s429,s174,s175,s589,s57,s588,s240,s113,s114,s115,s35,s532,s586,s511,s64,s587,s346,s86,s87,s25,s524,s133,s134,s135,s69,s512,s162,s478,s185,s186,s187,s580,s34,s262,s579,s163,s161,s188]) ).

cnf(s591,plain,
    ( spl0_62
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s329,s574,s90,s91,s77,s222,s522,s543,s587,s74,s478,s185,s186,s187,s512,s162,s34,s262,s579,s163,s161,s188]) ).

cnf(s592,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s429,s173,s174,s175,s589,s240,s113,s114,s115,s57,s35,s586,s242,s64,s484,s342,s105,s106,s107,s10,s588,s591,s590,s262,s579,s69,s512,s161,s162,s163,s188,s478,s185,s186,s187]) ).

cnf(s593,plain,
    ( spl0_31
    | spl0_57
    | spl0_1 ),
    inference(rat,[],[s558,s78,s587,s588,s157,s158,s57,s586,s64,s188,s478,s185,s186,s187]) ).

cnf(s594,plain,
    ( spl0_59
    | spl0_62
    | ~ spl0_31
    | spl0_1 ),
    inference(rat,[],[s547,s345,s89,s90,s77,s543,s74,s69,s188,s478,s185,s186,s187]) ).

cnf(s595,plain,
    ( spl0_3
    | ~ spl0_39 ),
    inference(rat,[],[s524,s133,s134,s135]) ).

cnf(s596,plain,
    ( spl0_9
    | ~ spl0_3
    | ~ spl0_31
    | ~ spl0_25 ),
    inference(rat,[],[s42,s344,s581,s93,s95,s49,s329,s547,s567,s89,s90,s91]) ).

cnf(s597,plain,
    ( spl0_57
    | spl0_1 ),
    inference(rat,[],[s594,s558,s588,s157,s158,s57,s586,s62,s447,s165,s166,s167,s4,s77,s596,s595,s593,s60,s188,s478,s185,s186,s187,s592]) ).

cnf(s598,plain,
    ( spl0_4
    | ~ spl0_57 ),
    inference(rat,[],[s429,s173,s174,s175]) ).

cnf(s599,plain,
    ( spl0_11
    | ~ spl0_33
    | ~ spl0_44 ),
    inference(rat,[],[s271,s537,s178,s179]) ).

cnf(s600,plain,
    ( ~ spl0_44
    | spl0_1 ),
    inference(rat,[],[s224,s291,s149,s150,s151,s5,s599,s589,s45,s586,s188,s598,s597]) ).

cnf(s601,plain,
    ( spl0_59
    | spl0_1 ),
    inference(rat,[],[s511,s340,s133,s135,s596,s67,s594,s69,s383,s34,s580,s2,s598,s597,s592,s64,s600,s188,s478,s185,s186,s187]) ).

cnf(s602,plain,
    spl0_1,
    inference(rat,[],[s510,s566,s133,s134,s135,s596,s77,s494,s601,s64,s600,s206,s207,s13,s580,s2,s598,s597,s592,s478,s185,s186,s187,s188]) ).

cnf(s603,plain,
    ( spl0_19
    | spl0_31
    | ~ spl0_25 ),
    inference(rat,[],[s558,s78,s587,s588,s157,s158]) ).

cnf(s604,plain,
    ( spl0_2
    | ~ spl0_43
    | ~ spl0_25 ),
    inference(rat,[],[s262,s579,s161,s163]) ).

cnf(s605,plain,
    ( ~ spl0_2
    | spl0_57
    | ~ spl0_25 ),
    inference(rat,[],[s595,s60,s1,s602]) ).

cnf(s606,plain,
    ( spl0_57
    | ~ spl0_25 ),
    inference(rat,[],[s479,s538,s193,s194,s195,s75,s548,s573,s81,s82,s83,s14,s69,s241,s245,s189,s190,s191,s543,s222,s70,s74,s603,s588,s57,s586,s62,s34,s512,s604,s161,s162,s163,s605,s602]) ).

cnf(s607,plain,
    ( ~ spl0_44
    | ~ spl0_25 ),
    inference(rat,[],[s224,s291,s149,s150,s151,s5,s599,s589,s45,s586,s598,s606]) ).

cnf(s608,plain,
    ( spl0_43
    | ~ spl0_25 ),
    inference(rat,[],[s514,s312,s197,s198,s199,s48,s461,s129,s130,s131,s17,s240,s113,s114,s115,s35,s531,s141,s142,s143,s36,s580,s34,s598,s606,s607]) ).

cnf(s609,plain,
    ~ spl0_25,
    inference(rat,[],[s74,s510,s511,s545,s566,s64,s496,s495,s205,s206,s207,s13,s580,s133,s134,s135,s2,s1,s604,s608,s607,s598,s606,s602]) ).

cnf(s611,plain,
    spl0_13,
    inference(rat,[],[s204,s609]) ).

cnf(s612,plain,
    spl0_12,
    inference(rat,[],[s200,s609]) ).

cnf(s633,plain,
    spl0_14,
    inference(rat,[],[s112,s609]) ).

cnf(s641,plain,
    $false,
    inference(rat,[],[s6,s611,s612,s633]) ).

fof(f2675,plain,
    $false,
    inference(avatar_sat_refutation,[],[s641]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN508+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n019.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 16:20:18 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.31  % (4129226)Will run a generic schedule for satisfiability detection.
% 0.20/0.31  % (4129231)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3945545405_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.31  % Detected minimum model sizes of [1]
% 0.20/0.31  % Detected maximum model sizes of [32]
% 0.20/0.31  % (4129232)% WARNING: option uhcvi not known.
% 0.20/0.31  % TRYING [1]
% 0.20/0.31  % TRYING [2]
% 0.20/0.31  % TRYING [3]
% 0.20/0.31  % (4129232)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3223495762:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.31  % (4129233)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3139107000:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.31  % (4129234)dis+10_1_sil=32000:sp=arity:random_seed=3067904452:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31  % (4129235)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3242265868:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.31  % (4129236)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=909399327:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.31  % (4129237)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=134355515:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.31  % TRYING [4]
% 0.20/0.31  % (4129237) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4129226-4129237"...
% 0.20/0.31  % TRYING [5]
% 0.20/0.31  % (4129237)...printing done.
% 0.20/0.31  % (4129237)Refutation found. Thanks to Tanya!
% 0.20/0.31  % SZS status Theorem for theBenchmark
% 0.20/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31  % (4129237)------------------------------
% 0.20/0.31  % (4129237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31  % (4129237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31  % (4129237)CaDiCaL version: 2.1.3
% 0.20/0.31  % (4129237)Termination reason: Refutation
% 0.20/0.31  % (4129237)Time elapsed: 0.036 s
% 0.20/0.31  % (4129237)Peak memory usage: 14 MB
% 0.20/0.31  % (4129237)Instructions burned: 60 (million)
% 0.20/0.31  % (4129226)Success in time 0.083 s
% 0.20/0.31  % Vampire exiting
%------------------------------------------------------------------------------