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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN471+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:53:47 PM UTC 2026

% Result   : Theorem 1.67s 0.61s
% Output   : Refutation 2.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :  147
% Syntax   : Number of formulae    :  945 (  33 unt; 146 def)
%            Number of atoms       : 6755 (   0 equ)
%            Maximal formula atoms :  718 (   7 avg)
%            Number of connectives : 9088 (3278   ~;4324   |; 995   &)
%                                         ( 146 <=>; 345  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  110 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  184 ( 183 usr; 180 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  777 (   0 sgn 777   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a593)
          & ~ c0_1(a593)
          & ~ c3_1(a593) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a594)
          & c1_1(a594)
          & ~ c3_1(a594) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c2_1(a596)
          & ~ c0_1(a596)
          & ~ c1_1(a596) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a597)
          & c2_1(a597)
          & ~ c3_1(a597) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a598)
          & ~ c1_1(a598)
          & ~ c2_1(a598) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a599)
          & c3_1(a599)
          & ~ c1_1(a599) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c3_1(a600)
          & ~ c1_1(a600)
          & ~ c2_1(a600) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a602)
          & c3_1(a602)
          & ~ c0_1(a602) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a603)
          & ~ c1_1(a603)
          & ~ c2_1(a603) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c1_1(a604)
          & c2_1(a604)
          & ~ c0_1(a604) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a605)
          & c2_1(a605)
          & ~ c3_1(a605) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a608)
          & ~ c0_1(a608)
          & ~ c3_1(a608) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c2_1(a609)
          & ~ c1_1(a609)
          & ~ c3_1(a609) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a614)
          & ~ c2_1(a614)
          & ~ c3_1(a614) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a615)
          & c2_1(a615)
          & ~ c1_1(a615) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a619)
          & ~ c1_1(a619)
          & ~ c3_1(a619) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a620)
          & ~ c0_1(a620)
          & ~ c2_1(a620) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a624)
          & c1_1(a624)
          & ~ c2_1(a624) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c3_1(a625)
          & ~ c0_1(a625)
          & ~ c1_1(a625) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a627)
          & ~ c2_1(a627)
          & ~ c3_1(a627) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a630)
          & c3_1(a630)
          & ~ c2_1(a630) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a631)
          & c3_1(a631)
          & ~ c1_1(a631) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a644)
          & ~ c2_1(a644)
          & ~ c3_1(a644) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c3_1(a645)
          & ~ c0_1(a645)
          & ~ c2_1(a645) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a651)
          & c3_1(a651)
          & ~ c2_1(a651) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a656)
          & c3_1(a656)
          & ~ c0_1(a656) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c0_1(a667)
          & ~ c1_1(a667)
          & ~ c3_1(a667) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c1_1(a690)
          & ~ c2_1(a690)
          & ~ c3_1(a690) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a595)
          & c2_1(a595)
          & c3_1(a595) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a618)
          & c1_1(a618)
          & c3_1(a618) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a637)
          & c1_1(a637)
          & c2_1(a637) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a672)
          & c2_1(a672)
          & c3_1(a672) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | ~ c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | ~ c0_1(X5)
              | ~ c2_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c3_1(X7)
              | ~ c0_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | ~ c0_1(X8)
              | ~ c3_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | ~ c0_1(X10)
              | ~ c2_1(X10) ) )
        | hskp0 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | ~ c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c0_1(X13)
              | ~ c1_1(X13)
              | ~ c2_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | ~ c2_1(X16)
              | ~ c3_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | ~ c0_1(X18)
              | ~ c3_1(X18) ) )
        | hskp1 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c2_1(X19) ) )
        | hskp28
        | hskp2 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | hskp3
        | hskp4 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | ~ c2_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c3_1(X25)
              | ~ c1_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | ~ c0_1(X26)
              | ~ c1_1(X26) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | ~ c2_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | ~ c0_1(X29)
              | ~ c3_1(X29) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c1_1(X30)
              | ~ c3_1(X30) ) )
        | hskp5
        | hskp6 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c3_1(X32)
              | ~ c1_1(X32) ) )
        | hskp5 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | c3_1(X34)
              | ~ c0_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | ~ c1_1(X35)
              | ~ c2_1(X35) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c0_1(X37)
              | ~ c1_1(X37)
              | ~ c2_1(X37) ) )
        | hskp7 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | c2_1(X39)
              | ~ c0_1(X39) ) )
        | hskp8 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c1_1(X41)
              | c3_1(X41)
              | ~ c2_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | ~ c2_1(X42)
              | ~ c3_1(X42) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | ~ c2_1(X44)
              | ~ c3_1(X44) ) )
        | hskp9 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | ~ c2_1(X46)
              | ~ c3_1(X46) ) )
        | hskp10 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | ~ c0_1(X48)
              | ~ c3_1(X48) ) )
        | hskp1 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c1_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | ~ c1_1(X50)
              | ~ c3_1(X50) ) )
        | hskp28 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c3_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c3_1(X52)
              | ~ c0_1(X52) ) )
        | hskp11 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c3_1(X53)
              | ~ c2_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | hskp12 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c3_1(X55)
              | ~ c2_1(X55) ) )
        | hskp10
        | hskp5 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c2_1(X56) ) )
        | hskp28
        | hskp7 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | ~ c2_1(X59)
              | ~ c3_1(X59) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c2_1(X61)
              | ~ c0_1(X61)
              | ~ c3_1(X61) ) )
        | hskp13 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | ~ c1_1(X63)
              | ~ c2_1(X63) ) )
        | hskp14 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | hskp14
        | hskp8 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | c3_1(X66)
              | ~ c1_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | ~ c1_1(X67)
              | ~ c2_1(X67) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | ~ c1_1(X69)
              | ~ c2_1(X69) ) )
        | hskp29 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c0_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp15
        | hskp16 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | c3_1(X71) ) )
        | hskp14
        | hskp4 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | ~ c0_1(X73)
              | ~ c3_1(X73) ) )
        | hskp12 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c3_1(X74) ) )
        | hskp17
        | hskp18 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c3_1(X75)
              | ~ c2_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | ~ c1_1(X76)
              | ~ c3_1(X76) ) )
        | hskp18 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c2_1(X77) ) )
        | hskp19
        | hskp7 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c0_1(X78)
              | ~ c2_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | ~ c0_1(X79)
              | ~ c1_1(X79) ) )
        | hskp12 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c0_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | c3_1(X81)
              | ~ c0_1(X81) ) )
        | hskp20 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | c3_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c1_1(X84)
              | ~ c2_1(X84) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c3_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c0_1(X86)
              | ~ c1_1(X86) ) )
        | hskp21 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) )
        | hskp14
        | hskp5 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | hskp13
        | hskp12 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | ~ c1_1(X90) ) )
        | hskp29 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | ~ c2_1(X92)
              | ~ c3_1(X92) ) )
        | hskp30 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c0_1(X93) ) )
        | hskp19
        | hskp28 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | c3_1(X94)
              | ~ c1_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | ~ c1_1(X95)
              | ~ c2_1(X95) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c2_1(X96)
              | ~ c3_1(X96) ) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c1_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c1_1(X98)
              | ~ c2_1(X98) ) )
        | hskp18 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c0_1(X99)
              | ~ c1_1(X99) ) )
        | hskp8
        | hskp4 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | hskp4
        | hskp22 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | ~ c0_1(X101)
              | ~ c3_1(X101) ) )
        | hskp23
        | hskp22 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | ~ c1_1(X102)
              | ~ c3_1(X102) ) )
        | hskp29
        | hskp6 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | ~ c1_1(X103)
              | ~ c3_1(X103) ) )
        | hskp10
        | hskp5 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c0_1(X104)
              | ~ c1_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c2_1(X105)
              | ~ c3_1(X105) ) )
        | hskp24 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c3_1(X106)
              | ~ c0_1(X106)
              | ~ c1_1(X106) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) )
        | hskp17 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c2_1(X108) ) )
        | hskp14 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c0_1(X109)
              | ~ c2_1(X109) ) )
        | hskp28
        | hskp4 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c3_1(X110)
              | ~ c0_1(X110)
              | ~ c2_1(X110) ) )
        | hskp25 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c3_1(X111)
              | ~ c1_1(X111)
              | ~ c2_1(X111) ) )
        | hskp0
        | hskp22 )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c2_1(X112) ) )
        | hskp29
        | hskp16 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c2_1(X113)
              | ~ c3_1(X113) ) )
        | hskp28
        | hskp2 )
      & ( ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c2_1(X114)
              | ~ c3_1(X114) ) )
        | hskp5
        | hskp18 )
      & ( hskp30
        | hskp3
        | hskp26 )
      & ( hskp29
        | hskp25
        | hskp23 )
      & ( hskp1
        | hskp31
        | hskp24 )
      & ( hskp1
        | hskp21
        | hskp4 )
      & ( hskp10
        | hskp28
        | hskp2 )
      & ( hskp10
        | hskp9
        | hskp12 )
      & ( hskp10
        | hskp12
        | hskp18 )
      & ( hskp9
        | hskp24 )
      & ( hskp3
        | hskp13
        | hskp27 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a593)
            & ~ c0_1(a593)
            & ~ c3_1(a593) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a594)
            & c1_1(a594)
            & ~ c3_1(a594) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c2_1(a596)
            & ~ c0_1(a596)
            & ~ c1_1(a596) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a597)
            & c2_1(a597)
            & ~ c3_1(a597) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a598)
            & ~ c1_1(a598)
            & ~ c2_1(a598) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a599)
            & c3_1(a599)
            & ~ c1_1(a599) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c3_1(a600)
            & ~ c1_1(a600)
            & ~ c2_1(a600) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a602)
            & c3_1(a602)
            & ~ c0_1(a602) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a603)
            & ~ c1_1(a603)
            & ~ c2_1(a603) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a604)
            & c2_1(a604)
            & ~ c0_1(a604) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a605)
            & c2_1(a605)
            & ~ c3_1(a605) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a608)
            & ~ c0_1(a608)
            & ~ c3_1(a608) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a609)
            & ~ c1_1(a609)
            & ~ c3_1(a609) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a614)
            & ~ c2_1(a614)
            & ~ c3_1(a614) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a615)
            & c2_1(a615)
            & ~ c1_1(a615) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a619)
            & ~ c1_1(a619)
            & ~ c3_1(a619) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a620)
            & ~ c0_1(a620)
            & ~ c2_1(a620) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a624)
            & c1_1(a624)
            & ~ c2_1(a624) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c3_1(a625)
            & ~ c0_1(a625)
            & ~ c1_1(a625) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a627)
            & ~ c2_1(a627)
            & ~ c3_1(a627) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a630)
            & c3_1(a630)
            & ~ c2_1(a630) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a631)
            & c3_1(a631)
            & ~ c1_1(a631) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a644)
            & ~ c2_1(a644)
            & ~ c3_1(a644) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c3_1(a645)
            & ~ c0_1(a645)
            & ~ c2_1(a645) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a651)
            & c3_1(a651)
            & ~ c2_1(a651) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a656)
            & c3_1(a656)
            & ~ c0_1(a656) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c0_1(a667)
            & ~ c1_1(a667)
            & ~ c3_1(a667) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c1_1(a690)
            & ~ c2_1(a690)
            & ~ c3_1(a690) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a595)
            & c2_1(a595)
            & c3_1(a595) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a618)
            & c1_1(a618)
            & c3_1(a618) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a637)
            & c1_1(a637)
            & c2_1(a637) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a672)
            & c2_1(a672)
            & c3_1(a672) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | ~ c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | ~ c0_1(X5)
                | ~ c2_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c3_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c0_1(X8)
                | ~ c3_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c0_1(X10)
                | ~ c2_1(X10) ) )
          | hskp0 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | ~ c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | ~ c1_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | ~ c2_1(X16)
                | ~ c3_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | ~ c0_1(X18)
                | ~ c3_1(X18) ) )
          | hskp1 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c2_1(X19) ) )
          | hskp28
          | hskp2 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | hskp3
          | hskp4 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c3_1(X25)
                | ~ c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | ~ c0_1(X26)
                | ~ c1_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | ~ c2_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c0_1(X29)
                | ~ c3_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c1_1(X30)
                | ~ c3_1(X30) ) )
          | hskp5
          | hskp6 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c3_1(X32)
                | ~ c1_1(X32) ) )
          | hskp5 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c3_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | ~ c1_1(X37)
                | ~ c2_1(X37) ) )
          | hskp7 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c2_1(X39)
                | ~ c0_1(X39) ) )
          | hskp8 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | c3_1(X41)
                | ~ c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | ~ c2_1(X42)
                | ~ c3_1(X42) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | ~ c2_1(X44)
                | ~ c3_1(X44) ) )
          | hskp9 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c2_1(X46)
                | ~ c3_1(X46) ) )
          | hskp10 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | ~ c0_1(X48)
                | ~ c3_1(X48) ) )
          | hskp1 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c1_1(X50)
                | ~ c3_1(X50) ) )
          | hskp28 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c3_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c0_1(X52) ) )
          | hskp11 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | hskp12 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) )
          | hskp10
          | hskp5 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) )
          | hskp28
          | hskp7 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | ~ c0_1(X61)
                | ~ c3_1(X61) ) )
          | hskp13 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | ~ c1_1(X63)
                | ~ c2_1(X63) ) )
          | hskp14 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | hskp14
          | hskp8 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c3_1(X66)
                | ~ c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | ~ c1_1(X67)
                | ~ c2_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | ~ c1_1(X69)
                | ~ c2_1(X69) ) )
          | hskp29 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp15
          | hskp16 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | c3_1(X71) ) )
          | hskp14
          | hskp4 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c0_1(X73)
                | ~ c3_1(X73) ) )
          | hskp12 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp17
          | hskp18 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c3_1(X75)
                | ~ c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) )
          | hskp18 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c2_1(X77) ) )
          | hskp19
          | hskp7 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c0_1(X78)
                | ~ c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | ~ c0_1(X79)
                | ~ c1_1(X79) ) )
          | hskp12 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c0_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | c3_1(X81)
                | ~ c0_1(X81) ) )
          | hskp20 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c3_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c1_1(X84)
                | ~ c2_1(X84) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | ~ c1_1(X86) ) )
          | hskp21 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | hskp14
          | hskp5 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp13
          | hskp12 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | ~ c1_1(X90) ) )
          | hskp29 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c2_1(X92)
                | ~ c3_1(X92) ) )
          | hskp30 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c0_1(X93) ) )
          | hskp19
          | hskp28 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c1_1(X95)
                | ~ c2_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c2_1(X96)
                | ~ c3_1(X96) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c1_1(X98)
                | ~ c2_1(X98) ) )
          | hskp18 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | hskp8
          | hskp4 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp4
          | hskp22 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | ~ c0_1(X101)
                | ~ c3_1(X101) ) )
          | hskp23
          | hskp22 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | ~ c1_1(X102)
                | ~ c3_1(X102) ) )
          | hskp29
          | hskp6 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c1_1(X103)
                | ~ c3_1(X103) ) )
          | hskp10
          | hskp5 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c0_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c2_1(X105)
                | ~ c3_1(X105) ) )
          | hskp24 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c3_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) )
          | hskp17 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c2_1(X108) ) )
          | hskp14 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c0_1(X109)
                | ~ c2_1(X109) ) )
          | hskp28
          | hskp4 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c0_1(X110)
                | ~ c2_1(X110) ) )
          | hskp25 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) )
          | hskp0
          | hskp22 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp29
          | hskp16 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c2_1(X113)
                | ~ c3_1(X113) ) )
          | hskp28
          | hskp2 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c2_1(X114)
                | ~ c3_1(X114) ) )
          | hskp5
          | hskp18 )
        & ( hskp30
          | hskp3
          | hskp26 )
        & ( hskp29
          | hskp25
          | hskp23 )
        & ( hskp1
          | hskp31
          | hskp24 )
        & ( hskp1
          | hskp21
          | hskp4 )
        & ( hskp10
          | hskp28
          | hskp2 )
        & ( hskp10
          | hskp9
          | hskp12 )
        & ( hskp10
          | hskp12
          | hskp18 )
        & ( hskp9
          | hskp24 )
        & ( hskp3
          | hskp13
          | hskp27 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a593)
        & ~ c0_1(a593)
        & ~ c3_1(a593) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a594)
        & c1_1(a594)
        & ~ c3_1(a594) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a596)
        & ~ c0_1(a596)
        & ~ c1_1(a596) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a597)
        & c2_1(a597)
        & ~ c3_1(a597) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a598)
        & ~ c1_1(a598)
        & ~ c2_1(a598) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a599)
        & c3_1(a599)
        & ~ c1_1(a599) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c3_1(a600)
        & ~ c1_1(a600)
        & ~ c2_1(a600) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a602)
        & c3_1(a602)
        & ~ c0_1(a602) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a603)
        & ~ c1_1(a603)
        & ~ c2_1(a603) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a604)
        & c2_1(a604)
        & ~ c0_1(a604) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a605)
        & c2_1(a605)
        & ~ c3_1(a605) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a608)
        & ~ c0_1(a608)
        & ~ c3_1(a608) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a609)
        & ~ c1_1(a609)
        & ~ c3_1(a609) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a614)
        & ~ c2_1(a614)
        & ~ c3_1(a614) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a615)
        & c2_1(a615)
        & ~ c1_1(a615) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a619)
        & ~ c1_1(a619)
        & ~ c3_1(a619) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a620)
        & ~ c0_1(a620)
        & ~ c2_1(a620) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a624)
        & c1_1(a624)
        & ~ c2_1(a624) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a625)
        & ~ c0_1(a625)
        & ~ c1_1(a625) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a627)
        & ~ c2_1(a627)
        & ~ c3_1(a627) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a630)
        & c3_1(a630)
        & ~ c2_1(a630) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a631)
        & c3_1(a631)
        & ~ c1_1(a631) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a644)
        & ~ c2_1(a644)
        & ~ c3_1(a644) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a645)
        & ~ c0_1(a645)
        & ~ c2_1(a645) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a651)
        & c3_1(a651)
        & ~ c2_1(a651) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a656)
        & c3_1(a656)
        & ~ c0_1(a656) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a667)
        & ~ c1_1(a667)
        & ~ c3_1(a667) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a690)
        & ~ c2_1(a690)
        & ~ c3_1(a690) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a595)
        & c2_1(a595)
        & c3_1(a595) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a618)
        & c1_1(a618)
        & c3_1(a618) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a637)
        & c1_1(a637)
        & c2_1(a637) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a672)
        & c2_1(a672)
        & c3_1(a672) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c2_1(X2)
            | c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | ~ c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | ~ c0_1(X5)
            | ~ c2_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | c3_1(X7)
            | ~ c0_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | ~ c0_1(X8)
            | ~ c3_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | ~ c0_1(X10)
            | ~ c2_1(X10) ) )
      | hskp0 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | ~ c1_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | ~ c1_1(X13)
            | ~ c2_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | ~ c2_1(X16)
            | ~ c3_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | ~ c0_1(X18)
            | ~ c3_1(X18) ) )
      | hskp1 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | ~ c2_1(X19) ) )
      | hskp28
      | hskp2 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | hskp3
      | hskp4 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c2_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | ~ c2_1(X23)
            | ~ c3_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c3_1(X25)
            | ~ c1_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | ~ c0_1(X26)
            | ~ c1_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | ~ c2_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | ~ c0_1(X29)
            | ~ c3_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c1_1(X30)
            | ~ c3_1(X30) ) )
      | hskp5
      | hskp6 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c3_1(X32)
            | ~ c1_1(X32) ) )
      | hskp5 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | c3_1(X34)
            | ~ c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | ~ c1_1(X35)
            | ~ c2_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | ~ c1_1(X37)
            | ~ c2_1(X37) ) )
      | hskp7 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | c2_1(X39)
            | ~ c0_1(X39) ) )
      | hskp8 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | c3_1(X41)
            | ~ c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | ~ c2_1(X42)
            | ~ c3_1(X42) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | ~ c2_1(X44)
            | ~ c3_1(X44) ) )
      | hskp9 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | ~ c2_1(X46)
            | ~ c3_1(X46) ) )
      | hskp10 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | ~ c0_1(X48)
            | ~ c3_1(X48) ) )
      | hskp1 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | ~ c1_1(X50)
            | ~ c3_1(X50) ) )
      | hskp28 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c3_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c3_1(X52)
            | ~ c0_1(X52) ) )
      | hskp11 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c3_1(X53)
            | ~ c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | hskp12 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | c3_1(X55)
            | ~ c2_1(X55) ) )
      | hskp10
      | hskp5 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c3_1(X56)
            | ~ c2_1(X56) ) )
      | hskp28
      | hskp7 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | ~ c2_1(X59)
            | ~ c3_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | ~ c0_1(X61)
            | ~ c3_1(X61) ) )
      | hskp13 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c1_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | ~ c1_1(X63)
            | ~ c2_1(X63) ) )
      | hskp14 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c1_1(X64)
            | ~ c3_1(X64) ) )
      | hskp14
      | hskp8 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | c3_1(X66)
            | ~ c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | ~ c1_1(X67)
            | ~ c2_1(X67) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c2_1(X68)
            | ~ c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | ~ c1_1(X69)
            | ~ c2_1(X69) ) )
      | hskp29 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | ~ c2_1(X70)
            | ~ c3_1(X70) ) )
      | hskp15
      | hskp16 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | c3_1(X71) ) )
      | hskp14
      | hskp4 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | ~ c0_1(X73)
            | ~ c3_1(X73) ) )
      | hskp12 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c3_1(X74) ) )
      | hskp17
      | hskp18 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c3_1(X75)
            | ~ c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | ~ c1_1(X76)
            | ~ c3_1(X76) ) )
      | hskp18 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c3_1(X77)
            | ~ c2_1(X77) ) )
      | hskp19
      | hskp7 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c0_1(X78)
            | ~ c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c2_1(X79)
            | ~ c0_1(X79)
            | ~ c1_1(X79) ) )
      | hskp12 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c0_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | c3_1(X81)
            | ~ c0_1(X81) ) )
      | hskp20 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | ~ c0_1(X82)
            | ~ c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | c3_1(X83)
            | ~ c1_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | ~ c1_1(X84)
            | ~ c2_1(X84) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | ~ c0_1(X85)
            | ~ c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | ~ c0_1(X86)
            | ~ c1_1(X86) ) )
      | hskp21 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | ~ c0_1(X87)
            | ~ c3_1(X87) ) )
      | hskp14
      | hskp5 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c2_1(X88)
            | ~ c3_1(X88) ) )
      | hskp13
      | hskp12 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c3_1(X89)
            | ~ c0_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c0_1(X90)
            | ~ c1_1(X90) ) )
      | hskp29 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c3_1(X91)
            | ~ c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | ~ c2_1(X92)
            | ~ c3_1(X92) ) )
      | hskp30 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | c3_1(X93)
            | ~ c0_1(X93) ) )
      | hskp19
      | hskp28 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | c3_1(X94)
            | ~ c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | ~ c1_1(X95)
            | ~ c2_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | ~ c2_1(X96)
            | ~ c3_1(X96) ) ) )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c0_1(X97)
            | ~ c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c0_1(X98)
            | ~ c1_1(X98)
            | ~ c2_1(X98) ) )
      | hskp18 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | ~ c0_1(X99)
            | ~ c1_1(X99) ) )
      | hskp8
      | hskp4 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | ~ c0_1(X100)
            | ~ c1_1(X100) ) )
      | hskp4
      | hskp22 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | ~ c0_1(X101)
            | ~ c3_1(X101) ) )
      | hskp23
      | hskp22 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | ~ c1_1(X102)
            | ~ c3_1(X102) ) )
      | hskp29
      | hskp6 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | ~ c1_1(X103)
            | ~ c3_1(X103) ) )
      | hskp10
      | hskp5 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | ~ c0_1(X104)
            | ~ c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | ~ c2_1(X105)
            | ~ c3_1(X105) ) )
      | hskp24 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c3_1(X106)
            | ~ c0_1(X106)
            | ~ c1_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | ~ c2_1(X107)
            | ~ c3_1(X107) ) )
      | hskp17 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | ~ c0_1(X108)
            | ~ c2_1(X108) ) )
      | hskp14 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | ~ c0_1(X109)
            | ~ c2_1(X109) ) )
      | hskp28
      | hskp4 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | ~ c0_1(X110)
            | ~ c2_1(X110) ) )
      | hskp25 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | ~ c1_1(X111)
            | ~ c2_1(X111) ) )
      | hskp0
      | hskp22 )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c0_1(X112)
            | ~ c1_1(X112)
            | ~ c2_1(X112) ) )
      | hskp29
      | hskp16 )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | ~ c2_1(X113)
            | ~ c3_1(X113) ) )
      | hskp28
      | hskp2 )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | ~ c2_1(X114)
            | ~ c3_1(X114) ) )
      | hskp5
      | hskp18 )
    & ( hskp30
      | hskp3
      | hskp26 )
    & ( hskp29
      | hskp25
      | hskp23 )
    & ( hskp1
      | hskp31
      | hskp24 )
    & ( hskp1
      | hskp21
      | hskp4 )
    & ( hskp10
      | hskp28
      | hskp2 )
    & ( hskp10
      | hskp9
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp18 )
    & ( hskp9
      | hskp24 )
    & ( hskp3
      | hskp13
      | hskp27 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a593)
        & ~ c0_1(a593)
        & ~ c3_1(a593) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a594)
        & c1_1(a594)
        & ~ c3_1(a594) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a596)
        & ~ c0_1(a596)
        & ~ c1_1(a596) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a597)
        & c2_1(a597)
        & ~ c3_1(a597) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a598)
        & ~ c1_1(a598)
        & ~ c2_1(a598) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a599)
        & c3_1(a599)
        & ~ c1_1(a599) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c3_1(a600)
        & ~ c1_1(a600)
        & ~ c2_1(a600) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a602)
        & c3_1(a602)
        & ~ c0_1(a602) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a603)
        & ~ c1_1(a603)
        & ~ c2_1(a603) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a604)
        & c2_1(a604)
        & ~ c0_1(a604) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a605)
        & c2_1(a605)
        & ~ c3_1(a605) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a608)
        & ~ c0_1(a608)
        & ~ c3_1(a608) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a609)
        & ~ c1_1(a609)
        & ~ c3_1(a609) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a614)
        & ~ c2_1(a614)
        & ~ c3_1(a614) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a615)
        & c2_1(a615)
        & ~ c1_1(a615) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a619)
        & ~ c1_1(a619)
        & ~ c3_1(a619) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a620)
        & ~ c0_1(a620)
        & ~ c2_1(a620) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a624)
        & c1_1(a624)
        & ~ c2_1(a624) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a625)
        & ~ c0_1(a625)
        & ~ c1_1(a625) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a627)
        & ~ c2_1(a627)
        & ~ c3_1(a627) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a630)
        & c3_1(a630)
        & ~ c2_1(a630) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a631)
        & c3_1(a631)
        & ~ c1_1(a631) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a644)
        & ~ c2_1(a644)
        & ~ c3_1(a644) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a645)
        & ~ c0_1(a645)
        & ~ c2_1(a645) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a651)
        & c3_1(a651)
        & ~ c2_1(a651) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a656)
        & c3_1(a656)
        & ~ c0_1(a656) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a667)
        & ~ c1_1(a667)
        & ~ c3_1(a667) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a690)
        & ~ c2_1(a690)
        & ~ c3_1(a690) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a595)
        & c2_1(a595)
        & c3_1(a595) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a618)
        & c1_1(a618)
        & c3_1(a618) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a637)
        & c1_1(a637)
        & c2_1(a637) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a672)
        & c2_1(a672)
        & c3_1(a672) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c3_1(X5)
          | ~ c0_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c2_1(X7)
          | c3_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | ~ c0_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | ~ c0_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c3_1(X12)
          | ~ c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp28
      | hskp2 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | c3_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c1_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | ~ c1_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c3_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp10
      | hskp5 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c2_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp14
      | hskp8 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp15
      | hskp16 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | hskp14
      | hskp4 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | hskp19
      | hskp7 )
    & ( ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | c3_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp14
      | hskp5 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp13
      | hskp12 )
    & ( ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp19
      | hskp28 )
    & ( ! [X94] :
          ( c2_1(X94)
          | c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp8
      | hskp4 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp4
      | hskp22 )
    & ( ! [X101] :
          ( c2_1(X101)
          | ~ c0_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp23
      | hskp22 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c1_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp29
      | hskp6 )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp10
      | hskp5 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X109] :
          ( c3_1(X109)
          | ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp28
      | hskp4 )
    & ( ! [X110] :
          ( c3_1(X110)
          | ~ c0_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X111] :
          ( c3_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp0
      | hskp22 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp29
      | hskp16 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp28
      | hskp2 )
    & ( ! [X114] :
          ( ~ c1_1(X114)
          | ~ c2_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp5
      | hskp18 )
    & ( hskp30
      | hskp3
      | hskp26 )
    & ( hskp29
      | hskp25
      | hskp23 )
    & ( hskp1
      | hskp31
      | hskp24 )
    & ( hskp1
      | hskp21
      | hskp4 )
    & ( hskp10
      | hskp28
      | hskp2 )
    & ( hskp10
      | hskp9
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp18 )
    & ( hskp9
      | hskp24 )
    & ( hskp3
      | hskp13
      | hskp27 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a593)
        & ~ c0_1(a593)
        & ~ c3_1(a593) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a594)
        & c1_1(a594)
        & ~ c3_1(a594) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a596)
        & ~ c0_1(a596)
        & ~ c1_1(a596) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a597)
        & c2_1(a597)
        & ~ c3_1(a597) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a598)
        & ~ c1_1(a598)
        & ~ c2_1(a598) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a599)
        & c3_1(a599)
        & ~ c1_1(a599) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c3_1(a600)
        & ~ c1_1(a600)
        & ~ c2_1(a600) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a602)
        & c3_1(a602)
        & ~ c0_1(a602) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a603)
        & ~ c1_1(a603)
        & ~ c2_1(a603) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c1_1(a604)
        & c2_1(a604)
        & ~ c0_1(a604) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a605)
        & c2_1(a605)
        & ~ c3_1(a605) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a608)
        & ~ c0_1(a608)
        & ~ c3_1(a608) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a609)
        & ~ c1_1(a609)
        & ~ c3_1(a609) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a614)
        & ~ c2_1(a614)
        & ~ c3_1(a614) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a615)
        & c2_1(a615)
        & ~ c1_1(a615) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a619)
        & ~ c1_1(a619)
        & ~ c3_1(a619) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a620)
        & ~ c0_1(a620)
        & ~ c2_1(a620) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a624)
        & c1_1(a624)
        & ~ c2_1(a624) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a625)
        & ~ c0_1(a625)
        & ~ c1_1(a625) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a627)
        & ~ c2_1(a627)
        & ~ c3_1(a627) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a630)
        & c3_1(a630)
        & ~ c2_1(a630) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a631)
        & c3_1(a631)
        & ~ c1_1(a631) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a644)
        & ~ c2_1(a644)
        & ~ c3_1(a644) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a645)
        & ~ c0_1(a645)
        & ~ c2_1(a645) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a651)
        & c3_1(a651)
        & ~ c2_1(a651) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a656)
        & c3_1(a656)
        & ~ c0_1(a656) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a667)
        & ~ c1_1(a667)
        & ~ c3_1(a667) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a690)
        & ~ c2_1(a690)
        & ~ c3_1(a690) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a595)
        & c2_1(a595)
        & c3_1(a595) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a618)
        & c1_1(a618)
        & c3_1(a618) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a637)
        & c1_1(a637)
        & c2_1(a637) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a672)
        & c2_1(a672)
        & c3_1(a672) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c3_1(X5)
          | ~ c0_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c2_1(X7)
          | c3_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | ~ c0_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | ~ c0_1(X10)
          | ~ c2_1(X10)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c3_1(X12)
          | ~ c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | ~ c0_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | hskp28
      | hskp2 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | c3_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c1_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | ~ c1_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c1_1(X52)
          | c3_1(X52)
          | ~ c0_1(X52)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp10
      | hskp5 )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c2_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp14
      | hskp8 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp15
      | hskp16 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | hskp14
      | hskp4 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | hskp19
      | hskp7 )
    & ( ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c2_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X80] :
          ( c1_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | c3_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c1_1(X85)
          | ~ c0_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp14
      | hskp5 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp13
      | hskp12 )
    & ( ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X93] :
          ( c2_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp19
      | hskp28 )
    & ( ! [X94] :
          ( c2_1(X94)
          | c3_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c2_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp8
      | hskp4 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp4
      | hskp22 )
    & ( ! [X101] :
          ( c2_1(X101)
          | ~ c0_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | hskp23
      | hskp22 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c1_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp29
      | hskp6 )
    & ( ! [X103] :
          ( c2_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp10
      | hskp5 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c0_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X106] :
          ( c3_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X109] :
          ( c3_1(X109)
          | ~ c0_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp28
      | hskp4 )
    & ( ! [X110] :
          ( c3_1(X110)
          | ~ c0_1(X110)
          | ~ c2_1(X110)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X111] :
          ( c3_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111)
          | ~ ndr1_0 )
      | hskp0
      | hskp22 )
    & ( ! [X112] :
          ( ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp29
      | hskp16 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c2_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | hskp28
      | hskp2 )
    & ( ! [X114] :
          ( ~ c1_1(X114)
          | ~ c2_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp5
      | hskp18 )
    & ( hskp30
      | hskp3
      | hskp26 )
    & ( hskp29
      | hskp25
      | hskp23 )
    & ( hskp1
      | hskp31
      | hskp24 )
    & ( hskp1
      | hskp21
      | hskp4 )
    & ( hskp10
      | hskp28
      | hskp2 )
    & ( hskp10
      | hskp9
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp18 )
    & ( hskp9
      | hskp24 )
    & ( hskp3
      | hskp13
      | hskp27 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp3
    | hskp13
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp9
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp10
    | hskp12
    | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp10
    | hskp9
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp10
    | hskp28
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp1
    | hskp21
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp1
    | hskp31
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp30
    | hskp3
    | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X114] :
      ( ~ c1_1(X114)
      | ~ c2_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | hskp5
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X110] :
      ( c3_1(X110)
      | ~ c0_1(X110)
      | ~ c2_1(X110)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X109] :
      ( c3_1(X109)
      | ~ c0_1(X109)
      | ~ c2_1(X109)
      | ~ ndr1_0
      | hskp28
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X104,X105] :
      ( c3_1(X104)
      | ~ c0_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c2_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X103] :
      ( c2_1(X103)
      | ~ c1_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp10
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X102] :
      ( c2_1(X102)
      | ~ c1_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp29
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X98,X97] :
      ( c2_1(X97)
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ~ ndr1_0
      | ~ c0_1(X98)
      | ~ c1_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X96,X94,X95] :
      ( c2_1(X94)
      | c3_1(X94)
      | ~ c1_1(X94)
      | ~ ndr1_0
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | ~ c0_1(X96)
      | ~ c2_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X91,X92] :
      ( c2_1(X91)
      | c3_1(X91)
      | ~ c0_1(X91)
      | ~ ndr1_0
      | ~ c0_1(X92)
      | ~ c2_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X88] :
      ( c1_1(X88)
      | ~ c2_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | hskp13
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | ~ c0_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | c3_1(X86)
      | ~ c0_1(X86)
      | ~ c1_1(X86)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X82,X83,X84] :
      ( c1_1(X82)
      | ~ c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | c2_1(X83)
      | c3_1(X83)
      | ~ c1_1(X83)
      | ~ ndr1_0
      | c3_1(X84)
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X76,X75] :
      ( c1_1(X75)
      | c3_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | ~ c0_1(X76)
      | ~ c1_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X68,X69] :
      ( c0_1(X68)
      | ~ c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ c2_1(X69)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X65,X66,X67] :
      ( c0_1(X65)
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | c2_1(X66)
      | c3_1(X66)
      | ~ c1_1(X66)
      | ~ ndr1_0
      | ~ c0_1(X67)
      | ~ c1_1(X67)
      | ~ c2_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X64] :
      ( c0_1(X64)
      | ~ c1_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | hskp14
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | c2_1(X61)
      | ~ c0_1(X61)
      | ~ c3_1(X61)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X58,X59,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | c0_1(X58)
      | ~ c1_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | ~ c1_1(X59)
      | ~ c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X56] :
      ( c0_1(X56)
      | c3_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | hskp28
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X55] :
      ( c0_1(X55)
      | c3_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | hskp10
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | c3_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c3_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | c2_1(X50)
      | ~ c1_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | ~ c1_1(X46)
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X44,X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | c3_1(X32)
      | ~ c1_1(X32)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X28,X29,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | c2_1(X29)
      | ~ c0_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | c3_1(X25)
      | ~ c1_1(X25)
      | ~ ndr1_0
      | c3_1(X26)
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | c2_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | c0_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | hskp3
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | c1_1(X18)
      | ~ c0_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | c1_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X16)
      | ~ c2_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | c3_1(X12)
      | ~ c1_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0
      | ~ c0_1(X13)
      | ~ c1_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0
      | c3_1(X10)
      | ~ c0_1(X10)
      | ~ c2_1(X10)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X8,X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c2_1(X7)
      | c3_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | c2_1(X8)
      | ~ c0_1(X8)
      | ~ c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c1_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | c3_1(X5)
      | ~ c0_1(X5)
      | ~ c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp31
    | c3_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp31
    | c2_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp31
    | c0_1(a672) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp30
    | c2_1(a637) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp30
    | c1_1(a637) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp30
    | c0_1(a637) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp29
    | c3_1(a618) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp29
    | c1_1(a618) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp29
    | c0_1(a618) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp28
    | c3_1(a595) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp28
    | c2_1(a595) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp28
    | c1_1(a595) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp27
    | ~ c3_1(a690) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp27
    | ~ c2_1(a690) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp27
    | ~ c1_1(a690) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ~ hskp27
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp26
    | ~ c3_1(a667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp26
    | ~ c1_1(a667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp26
    | ~ c0_1(a667) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp25
    | ~ c0_1(a656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp25
    | c3_1(a656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp25
    | c1_1(a656) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp24
    | ~ c2_1(a651) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp24
    | c3_1(a651) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp24
    | c1_1(a651) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp21
    | ~ c1_1(a631) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp21
    | c3_1(a631) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp21
    | c0_1(a631) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp18
    | ~ c1_1(a625) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp18
    | ~ c0_1(a625) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp18
    | c3_1(a625) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp14
    | ~ c1_1(a615) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp14
    | c2_1(a615) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp14
    | c0_1(a615) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp13
    | ~ c3_1(a614) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp13
    | ~ c2_1(a614) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp13
    | c1_1(a614) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp12
    | ~ c3_1(a609) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp12
    | ~ c1_1(a609) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp12
    | c2_1(a609) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp11
    | ~ c3_1(a608) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp11
    | ~ c0_1(a608) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp11
    | c1_1(a608) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp10
    | ~ c3_1(a605) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp10
    | c2_1(a605) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp10
    | c0_1(a605) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp9
    | ~ c0_1(a604) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp9
    | c2_1(a604) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp9
    | c1_1(a604) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp8
    | ~ c1_1(a603) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp8
    | c0_1(a603) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp7
    | ~ c0_1(a602) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp7
    | c3_1(a602) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp7
    | c2_1(a602) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp6
    | ~ c2_1(a600) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp6
    | ~ c1_1(a600) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp6
    | c3_1(a600) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp5
    | ~ c1_1(a599) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp5
    | c3_1(a599) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp5
    | c2_1(a599) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp4
    | ~ c2_1(a598) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp4
    | ~ c1_1(a598) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp4
    | ~ c0_1(a598) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp3
    | ~ c3_1(a597) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp3
    | c2_1(a597) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp3
    | c1_1(a597) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp2
    | ~ c1_1(a596) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp2
    | ~ c0_1(a596) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp2
    | c2_1(a596) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp1
    | ~ c3_1(a594) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp1
    | c1_1(a594) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp1
    | c0_1(a594) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp0
    | ~ c3_1(a593) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp0
    | ~ c0_1(a593) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp0
    | c2_1(a593) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ! [X104,X105] :
      ( c3_1(X104)
      | ~ c0_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | ~ c0_1(X105)
      | ~ c2_1(X105)
      | ~ c3_1(X105)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f208,plain,
    ! [X98,X97] :
      ( c2_1(X97)
      | ~ c0_1(X97)
      | ~ c1_1(X97)
      | ~ ndr1_0
      | ~ c0_1(X98)
      | ~ c1_1(X98)
      | ~ c2_1(X98)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f209,plain,
    ! [X96,X94,X95] :
      ( c2_1(X94)
      | c3_1(X94)
      | ~ c1_1(X94)
      | ~ ndr1_0
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | ~ c2_1(X95)
      | ~ c0_1(X96)
      | ~ c2_1(X96)
      | ~ c3_1(X96) ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f210,plain,
    ! [X91,X92] :
      ( c2_1(X91)
      | c3_1(X91)
      | ~ c0_1(X91)
      | ~ ndr1_0
      | ~ c0_1(X92)
      | ~ c2_1(X92)
      | ~ c3_1(X92)
      | hskp30 ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f212,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | ~ c0_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | c3_1(X86)
      | ~ c0_1(X86)
      | ~ c1_1(X86)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f213,plain,
    ! [X82,X83,X84] :
      ( c1_1(X82)
      | ~ c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | c2_1(X83)
      | c3_1(X83)
      | ~ c1_1(X83)
      | c3_1(X84)
      | ~ c1_1(X84)
      | ~ c2_1(X84) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f216,plain,
    ! [X76,X75] :
      ( c1_1(X75)
      | c3_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | ~ c0_1(X76)
      | ~ c1_1(X76)
      | ~ c3_1(X76)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f218,plain,
    ! [X68,X69] :
      ( c0_1(X68)
      | ~ c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ c2_1(X69)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f219,plain,
    ! [X65,X66,X67] :
      ( c0_1(X65)
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | c2_1(X66)
      | c3_1(X66)
      | ~ c1_1(X66)
      | ~ c0_1(X67)
      | ~ c1_1(X67)
      | ~ c2_1(X67) ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f220,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | ~ c1_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ c2_1(X63)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f221,plain,
    ! [X60,X61] :
      ( c0_1(X60)
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | c2_1(X61)
      | ~ c0_1(X61)
      | ~ c3_1(X61)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f222,plain,
    ! [X58,X59,X57] :
      ( c0_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | c0_1(X58)
      | ~ c1_1(X58)
      | ~ c3_1(X58)
      | ~ c1_1(X59)
      | ~ c2_1(X59)
      | ~ c3_1(X59) ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f224,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | c3_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | c1_1(X52)
      | c3_1(X52)
      | ~ c0_1(X52)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f225,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | c2_1(X50)
      | ~ c1_1(X50)
      | ~ c3_1(X50)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f226,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f227,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c1_1(X45)
      | ~ ndr1_0
      | ~ c1_1(X46)
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f228,plain,
    ! [X44,X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | ~ c1_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | ~ c3_1(X44)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f233,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | c3_1(X32)
      | ~ c1_1(X32)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f234,plain,
    ! [X28,X29,X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | c2_1(X29)
      | ~ c0_1(X29)
      | ~ c3_1(X29) ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f235,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | c3_1(X25)
      | ~ c1_1(X25)
      | c3_1(X26)
      | ~ c0_1(X26)
      | ~ c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f236,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | c2_1(X22)
      | c3_1(X22)
      | c0_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23) ),
    inference(duplicate_literal_removal,[],[f68]) ).

fof(f237,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | c1_1(X18)
      | ~ c0_1(X18)
      | ~ c3_1(X18)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f238,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | c1_1(X15)
      | ~ c3_1(X15)
      | ~ c0_1(X16)
      | ~ c2_1(X16)
      | ~ c3_1(X16) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f239,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | c3_1(X12)
      | ~ c1_1(X12)
      | ~ c2_1(X12)
      | ~ c0_1(X13)
      | ~ c1_1(X13)
      | ~ c2_1(X13) ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f240,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0
      | c3_1(X10)
      | ~ c0_1(X10)
      | ~ c2_1(X10)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f241,plain,
    ! [X8,X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c2_1(X7)
      | c3_1(X7)
      | ~ c0_1(X7)
      | c2_1(X8)
      | ~ c0_1(X8)
      | ~ c3_1(X8) ),
    inference(duplicate_literal_removal,[],[f75]) ).

fof(f242,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c1_1(X4)
      | ~ c3_1(X4)
      | c3_1(X5)
      | ~ c0_1(X5)
      | ~ c2_1(X5) ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f243,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c3_1(X2) ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f245,definition,
    ( spl0_1
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f248,definition,
    ( spl0_2
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f251,definition,
    ( spl0_3
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f253,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f251,f248,f245]) ).

fof(f255,definition,
    ( spl0_4
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f258,definition,
    ( spl0_5
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f260,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f258,f255]) ).

fof(f262,definition,
    ( spl0_6
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f265,definition,
    ( spl0_7
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_8
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f270,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f268,f265,f262]) ).

fof(f271,plain,
    ( spl0_7
    | spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f9,f268,f258,f265]) ).

fof(f273,definition,
    ( spl0_9
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f276,definition,
    ( spl0_10
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f278,plain,
    ( spl0_9
    | spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f10,f268,f276,f273]) ).

fof(f280,definition,
    ( spl0_11
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f283,definition,
    ( spl0_12
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f286,definition,
    ( spl0_13
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f288,plain,
    ( spl0_11
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f11,f286,f283,f280]) ).

fof(f290,definition,
    ( spl0_14
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f292,plain,
    ( spl0_4
    | spl0_14
    | spl0_13 ),
    inference(avatar_split_clause,[],[f12,f286,f290,f255]) ).

fof(f297,definition,
    ( spl0_16
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f300,definition,
    ( spl0_17
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f304,definition,
    ( spl0_18
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f307,definition,
    ( spl0_19
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f309,plain,
    ( spl0_18
    | spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f14,f307,f251,f304]) ).

fof(f311,definition,
    ( spl0_20
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f314,definition,
    ( spl0_21
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f317,definition,
    ( spl0_22
  <=> ! [X114] :
        ( ~ c1_1(X114)
        | ~ c3_1(X114)
        | ~ c2_1(X114) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f318,plain,
    ( ! [X114] :
        ( ~ c1_1(X114)
        | ~ c3_1(X114)
        | ~ c2_1(X114) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f319,plain,
    ( spl0_6
    | spl0_20
    | ~ spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f15,f317,f314,f311,f262]) ).

fof(f321,definition,
    ( spl0_23
  <=> ! [X113] :
        ( ~ c0_1(X113)
        | ~ c3_1(X113)
        | ~ c2_1(X113) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f322,plain,
    ( ! [X113] :
        ( ~ c3_1(X113)
        | ~ c0_1(X113)
        | ~ c2_1(X113) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f328,definition,
    ( spl0_25
  <=> ! [X112] :
        ( ~ c0_1(X112)
        | ~ c2_1(X112)
        | ~ c1_1(X112) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f329,plain,
    ( ! [X112] :
        ( ~ c1_1(X112)
        | ~ c2_1(X112)
        | ~ c0_1(X112) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f335,definition,
    ( spl0_27
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f338,definition,
    ( spl0_28
  <=> ! [X111] :
        ( c3_1(X111)
        | ~ c2_1(X111)
        | ~ c1_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f339,plain,
    ( ! [X111] :
        ( ~ c1_1(X111)
        | ~ c2_1(X111)
        | c3_1(X111) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f342,definition,
    ( spl0_29
  <=> ! [X110] :
        ( c3_1(X110)
        | ~ c2_1(X110)
        | ~ c0_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X110] :
        ( c3_1(X110)
        | ~ c2_1(X110)
        | ~ c0_1(X110) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f344,plain,
    ( spl0_16
    | ~ spl0_21
    | spl0_29 ),
    inference(avatar_split_clause,[],[f19,f342,f314,f297]) ).

fof(f345,plain,
    ( spl0_11
    | spl0_10
    | ~ spl0_21
    | spl0_29 ),
    inference(avatar_split_clause,[],[f20,f342,f314,f276,f280]) ).

fof(f347,definition,
    ( spl0_30
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f354,definition,
    ( spl0_32
  <=> ! [X106] :
        ( c3_1(X106)
        | ~ c1_1(X106)
        | ~ c0_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f355,plain,
    ( ! [X106] :
        ( ~ c1_1(X106)
        | c3_1(X106)
        | ~ c0_1(X106) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f357,plain,
    ( spl0_4
    | spl0_23
    | ~ spl0_21
    | spl0_32 ),
    inference(avatar_split_clause,[],[f207,f354,f314,f321,f255]) ).

fof(f359,definition,
    ( spl0_33
  <=> ! [X103] :
        ( c2_1(X103)
        | ~ c3_1(X103)
        | ~ c1_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f360,plain,
    ( ! [X103] :
        ( ~ c1_1(X103)
        | ~ c3_1(X103)
        | c2_1(X103) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f361,plain,
    ( spl0_20
    | spl0_8
    | ~ spl0_21
    | spl0_33 ),
    inference(avatar_split_clause,[],[f24,f359,f314,f268,f311]) ).

fof(f363,definition,
    ( spl0_34
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f365,plain,
    ( spl0_34
    | spl0_17
    | ~ spl0_21
    | spl0_33 ),
    inference(avatar_split_clause,[],[f25,f359,f314,f300,f363]) ).

fof(f367,definition,
    ( spl0_35
  <=> ! [X101] :
        ( c2_1(X101)
        | ~ c3_1(X101)
        | ~ c0_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X101] :
        ( ~ c3_1(X101)
        | c2_1(X101)
        | ~ c0_1(X101) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f371,definition,
    ( spl0_36
  <=> ! [X100] :
        ( c2_1(X100)
        | ~ c1_1(X100)
        | ~ c0_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f372,plain,
    ( ! [X100] :
        ( ~ c1_1(X100)
        | c2_1(X100)
        | ~ c0_1(X100) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f375,definition,
    ( spl0_37
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f378,plain,
    ( spl0_6
    | spl0_25
    | ~ spl0_21
    | spl0_36 ),
    inference(avatar_split_clause,[],[f208,f371,f314,f328,f262]) ).

fof(f380,definition,
    ( spl0_38
  <=> ! [X94] :
        ( c2_1(X94)
        | ~ c1_1(X94)
        | c3_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | c2_1(X94)
        | c3_1(X94) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f382,plain,
    ( spl0_23
    | spl0_25
    | ~ spl0_21
    | spl0_38 ),
    inference(avatar_split_clause,[],[f209,f380,f314,f328,f321]) ).

fof(f387,definition,
    ( spl0_40
  <=> ! [X93] :
        ( c2_1(X93)
        | ~ c0_1(X93)
        | c3_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f388,plain,
    ( ! [X93] :
        ( c3_1(X93)
        | ~ c0_1(X93)
        | c2_1(X93) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f390,plain,
    ( spl0_19
    | spl0_23
    | ~ spl0_21
    | spl0_40 ),
    inference(avatar_split_clause,[],[f210,f387,f314,f321,f307]) ).

fof(f393,definition,
    ( spl0_41
  <=> ! [X88] :
        ( c1_1(X88)
        | ~ c3_1(X88)
        | ~ c2_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f394,plain,
    ( ! [X88] :
        ( c1_1(X88)
        | ~ c3_1(X88)
        | ~ c2_1(X88) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f395,plain,
    ( spl0_7
    | spl0_2
    | ~ spl0_21
    | spl0_41 ),
    inference(avatar_split_clause,[],[f34,f393,f314,f248,f265]) ).

fof(f397,definition,
    ( spl0_42
  <=> ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c0_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f398,plain,
    ( ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c0_1(X87) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f400,plain,
    ( spl0_12
    | spl0_32
    | ~ spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f212,f397,f314,f354,f283]) ).

fof(f401,plain,
    ( spl0_28
    | spl0_38
    | ~ spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f213,f397,f314,f380,f338]) ).

fof(f411,definition,
    ( spl0_45
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f414,definition,
    ( spl0_46
  <=> ! [X77] :
        ( c1_1(X77)
        | ~ c2_1(X77)
        | c3_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f415,plain,
    ( ! [X77] :
        ( c1_1(X77)
        | ~ c2_1(X77)
        | c3_1(X77) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f418,definition,
    ( spl0_47
  <=> ! [X76] :
        ( ~ c0_1(X76)
        | ~ c3_1(X76)
        | ~ c1_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f419,plain,
    ( ! [X76] :
        ( ~ c1_1(X76)
        | ~ c3_1(X76)
        | ~ c0_1(X76) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f420,plain,
    ( spl0_6
    | spl0_47
    | ~ spl0_21
    | spl0_46 ),
    inference(avatar_split_clause,[],[f216,f414,f314,f418,f262]) ).

fof(f437,definition,
    ( spl0_52
  <=> ! [X70] :
        ( c0_1(X70)
        | ~ c3_1(X70)
        | ~ c2_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | c0_1(X70)
        | ~ c2_1(X70) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f440,plain,
    ( spl0_17
    | spl0_25
    | ~ spl0_21
    | spl0_52 ),
    inference(avatar_split_clause,[],[f218,f437,f314,f328,f300]) ).

fof(f441,plain,
    ( spl0_25
    | spl0_38
    | ~ spl0_21
    | spl0_52 ),
    inference(avatar_split_clause,[],[f219,f437,f314,f380,f328]) ).

fof(f443,definition,
    ( spl0_53
  <=> ! [X64] :
        ( c0_1(X64)
        | ~ c3_1(X64)
        | ~ c1_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f444,plain,
    ( ! [X64] :
        ( ~ c1_1(X64)
        | ~ c3_1(X64)
        | c0_1(X64) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f445,plain,
    ( spl0_37
    | spl0_30
    | ~ spl0_21
    | spl0_53 ),
    inference(avatar_split_clause,[],[f48,f443,f314,f347,f375]) ).

fof(f446,plain,
    ( spl0_30
    | spl0_25
    | ~ spl0_21
    | spl0_53 ),
    inference(avatar_split_clause,[],[f220,f443,f314,f328,f347]) ).

fof(f448,definition,
    ( spl0_54
  <=> ! [X60] :
        ( c0_1(X60)
        | ~ c2_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f449,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | ~ c2_1(X60)
        | c0_1(X60) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f450,plain,
    ( spl0_2
    | spl0_35
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f221,f448,f314,f367,f248]) ).

fof(f451,plain,
    ( spl0_22
    | spl0_53
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f222,f448,f314,f443,f317]) ).

fof(f453,definition,
    ( spl0_55
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c2_1(X56)
        | c3_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f454,plain,
    ( ! [X56] :
        ( c3_1(X56)
        | ~ c2_1(X56)
        | c0_1(X56) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f455,plain,
    ( spl0_45
    | spl0_10
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f52,f453,f314,f276,f411]) ).

fof(f456,plain,
    ( spl0_20
    | spl0_8
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f53,f453,f314,f268,f311]) ).

fof(f459,definition,
    ( spl0_56
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f462,definition,
    ( spl0_57
  <=> ! [X52] :
        ( c1_1(X52)
        | ~ c0_1(X52)
        | c3_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f463,plain,
    ( ! [X52] :
        ( c1_1(X52)
        | ~ c0_1(X52)
        | c3_1(X52) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f464,plain,
    ( spl0_56
    | spl0_57
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f224,f453,f314,f462,f459]) ).

fof(f466,definition,
    ( spl0_58
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c1_1(X49)
        | c3_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f467,plain,
    ( ! [X49] :
        ( ~ c1_1(X49)
        | c0_1(X49)
        | c3_1(X49) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f468,plain,
    ( spl0_10
    | spl0_33
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f225,f466,f314,f359,f276]) ).

fof(f469,plain,
    ( spl0_13
    | spl0_42
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f226,f466,f314,f397,f286]) ).

fof(f471,definition,
    ( spl0_59
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c1_1(X45)
        | c2_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f472,plain,
    ( ! [X45] :
        ( ~ c1_1(X45)
        | c0_1(X45)
        | c2_1(X45) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f473,plain,
    ( spl0_8
    | spl0_22
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f227,f471,f314,f317,f268]) ).

fof(f474,plain,
    ( spl0_5
    | spl0_23
    | ~ spl0_21
    | spl0_59 ),
    inference(avatar_split_clause,[],[f228,f471,f314,f321,f258]) ).

fof(f478,definition,
    ( spl0_60
  <=> ! [X36] :
        ( c0_1(X36)
        | c3_1(X36)
        | c2_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f479,plain,
    ( ! [X36] :
        ( c3_1(X36)
        | c0_1(X36)
        | c2_1(X36) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f482,plain,
    ( spl0_20
    | spl0_58
    | ~ spl0_21
    | spl0_60 ),
    inference(avatar_split_clause,[],[f233,f478,f314,f466,f311]) ).

fof(f484,definition,
    ( spl0_61
  <=> ! [X30] :
        ( c0_1(X30)
        | ~ c3_1(X30)
        | c1_1(X30) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X30] :
        ( c1_1(X30)
        | ~ c3_1(X30)
        | c0_1(X30) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f487,plain,
    ( spl0_35
    | spl0_52
    | ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f234,f484,f314,f437,f367]) ).

fof(f488,plain,
    ( spl0_32
    | spl0_58
    | ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f235,f484,f314,f466,f354]) ).

fof(f489,plain,
    ( spl0_52
    | spl0_60
    | ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f236,f484,f314,f478,f437]) ).

fof(f491,definition,
    ( spl0_62
  <=> ! [X20] :
        ( c0_1(X20)
        | ~ c2_1(X20)
        | c1_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f492,plain,
    ( ! [X20] :
        ( c1_1(X20)
        | ~ c2_1(X20)
        | c0_1(X20) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f493,plain,
    ( spl0_11
    | spl0_3
    | ~ spl0_21
    | spl0_62 ),
    inference(avatar_split_clause,[],[f69,f491,f314,f251,f280]) ).

fof(f495,plain,
    ( spl0_13
    | spl0_42
    | ~ spl0_21
    | spl0_62 ),
    inference(avatar_split_clause,[],[f237,f491,f314,f397,f286]) ).

fof(f497,definition,
    ( spl0_63
  <=> ! [X14] :
        ( c0_1(X14)
        | c3_1(X14)
        | c1_1(X14) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f498,plain,
    ( ! [X14] :
        ( c1_1(X14)
        | c3_1(X14)
        | c0_1(X14) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f499,plain,
    ( spl0_23
    | spl0_61
    | ~ spl0_21
    | spl0_63 ),
    inference(avatar_split_clause,[],[f238,f497,f314,f484,f321]) ).

fof(f501,definition,
    ( spl0_64
  <=> ! [X11] :
        ( c0_1(X11)
        | c2_1(X11)
        | c1_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X11] :
        ( c1_1(X11)
        | c2_1(X11)
        | c0_1(X11) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f503,plain,
    ( spl0_25
    | spl0_28
    | ~ spl0_21
    | spl0_64 ),
    inference(avatar_split_clause,[],[f239,f501,f314,f338,f328]) ).

fof(f504,plain,
    ( spl0_27
    | spl0_29
    | ~ spl0_21
    | spl0_64 ),
    inference(avatar_split_clause,[],[f240,f501,f314,f342,f335]) ).

fof(f505,plain,
    ( spl0_35
    | spl0_40
    | ~ spl0_21
    | spl0_64 ),
    inference(avatar_split_clause,[],[f241,f501,f314,f387,f367]) ).

fof(f506,plain,
    ( spl0_29
    | spl0_61
    | ~ spl0_21
    | spl0_64 ),
    inference(avatar_split_clause,[],[f242,f501,f314,f484,f342]) ).

fof(f507,plain,
    ( spl0_60
    | spl0_63
    | ~ spl0_21
    | spl0_64 ),
    inference(avatar_split_clause,[],[f243,f501,f314,f497,f478]) ).

fof(f509,definition,
    ( spl0_65
  <=> c3_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f510,plain,
    ( c3_1(a672)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f512,plain,
    ( spl0_65
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f78,f290,f509]) ).

fof(f514,definition,
    ( spl0_66
  <=> c2_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f516,plain,
    ( spl0_66
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f79,f290,f514]) ).

fof(f518,definition,
    ( spl0_67
  <=> c0_1(a672) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f520,plain,
    ( spl0_67
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f80,f290,f518]) ).

fof(f524,definition,
    ( spl0_68
  <=> c2_1(a637) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f527,plain,
    ( spl0_68
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f82,f307,f524]) ).

fof(f529,definition,
    ( spl0_69
  <=> c1_1(a637) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f530,plain,
    ( c1_1(a637)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f531,plain,
    ( spl0_69
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f83,f307,f529]) ).

fof(f533,definition,
    ( spl0_70
  <=> c0_1(a637) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f535,plain,
    ( spl0_70
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f84,f307,f533]) ).

fof(f538,definition,
    ( spl0_71
  <=> c3_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f539,plain,
    ( c3_1(a618)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f541,plain,
    ( spl0_71
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f86,f300,f538]) ).

fof(f543,definition,
    ( spl0_72
  <=> c1_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f544,plain,
    ( c1_1(a618)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f545,plain,
    ( spl0_72
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f87,f300,f543]) ).

fof(f547,definition,
    ( spl0_73
  <=> c0_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f549,plain,
    ( spl0_73
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f88,f300,f547]) ).

fof(f552,definition,
    ( spl0_74
  <=> c3_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f553,plain,
    ( c3_1(a595)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f555,plain,
    ( spl0_74
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f90,f276,f552]) ).

fof(f557,definition,
    ( spl0_75
  <=> c2_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f559,plain,
    ( spl0_75
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f91,f276,f557]) ).

fof(f561,definition,
    ( spl0_76
  <=> c1_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f562,plain,
    ( c1_1(a595)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f563,plain,
    ( spl0_76
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f92,f276,f561]) ).

fof(f566,definition,
    ( spl0_77
  <=> c3_1(a690) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f567,plain,
    ( ~ c3_1(a690)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f569,plain,
    ( ~ spl0_77
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f94,f245,f566]) ).

fof(f571,definition,
    ( spl0_78
  <=> c2_1(a690) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f573,plain,
    ( ~ spl0_78
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f95,f245,f571]) ).

fof(f575,definition,
    ( spl0_79
  <=> c1_1(a690) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f576,plain,
    ( ~ c1_1(a690)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f577,plain,
    ( ~ spl0_79
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f96,f245,f575]) ).

fof(f578,plain,
    ( spl0_21
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f97,f245,f314]) ).

fof(f580,definition,
    ( spl0_80
  <=> c3_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f581,plain,
    ( ~ c3_1(a667)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f583,plain,
    ( ~ spl0_80
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f98,f304,f580]) ).

fof(f585,definition,
    ( spl0_81
  <=> c1_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f586,plain,
    ( ~ c1_1(a667)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f587,plain,
    ( ~ spl0_81
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f99,f304,f585]) ).

fof(f589,definition,
    ( spl0_82
  <=> c0_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f591,plain,
    ( ~ spl0_82
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f100,f304,f589]) ).

fof(f594,definition,
    ( spl0_83
  <=> c0_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f597,plain,
    ( ~ spl0_83
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f102,f297,f594]) ).

fof(f599,definition,
    ( spl0_84
  <=> c3_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f601,plain,
    ( spl0_84
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f103,f297,f599]) ).

fof(f603,definition,
    ( spl0_85
  <=> c1_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f604,plain,
    ( c1_1(a656)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f605,plain,
    ( spl0_85
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f104,f297,f603]) ).

fof(f608,definition,
    ( spl0_86
  <=> c2_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ spl0_86
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f106,f255,f608]) ).

fof(f613,definition,
    ( spl0_87
  <=> c3_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f614,plain,
    ( c3_1(a651)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f615,plain,
    ( spl0_87
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f107,f255,f613]) ).

fof(f617,definition,
    ( spl0_88
  <=> c1_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f618,plain,
    ( c1_1(a651)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f619,plain,
    ( spl0_88
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f108,f255,f617]) ).

fof(f650,definition,
    ( spl0_95
  <=> c1_1(a631) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f651,plain,
    ( ~ c1_1(a631)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f653,plain,
    ( ~ spl0_95
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f118,f283,f650]) ).

fof(f655,definition,
    ( spl0_96
  <=> c3_1(a631) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f656,plain,
    ( c3_1(a631)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f657,plain,
    ( spl0_96
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f119,f283,f655]) ).

fof(f659,definition,
    ( spl0_97
  <=> c0_1(a631) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f661,plain,
    ( spl0_97
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f120,f283,f659]) ).

fof(f692,definition,
    ( spl0_104
  <=> c1_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f693,plain,
    ( ~ c1_1(a625)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f695,plain,
    ( ~ spl0_104
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f130,f262,f692]) ).

fof(f697,definition,
    ( spl0_105
  <=> c0_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f699,plain,
    ( ~ spl0_105
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f131,f262,f697]) ).

fof(f701,definition,
    ( spl0_106
  <=> c3_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f702,plain,
    ( c3_1(a625)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f703,plain,
    ( spl0_106
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f132,f262,f701]) ).

fof(f748,definition,
    ( spl0_116
  <=> c1_1(a615) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ c1_1(a615)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( ~ spl0_116
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f146,f347,f748]) ).

fof(f753,definition,
    ( spl0_117
  <=> c2_1(a615) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f755,plain,
    ( spl0_117
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f147,f347,f753]) ).

fof(f757,definition,
    ( spl0_118
  <=> c0_1(a615) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f759,plain,
    ( spl0_118
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f148,f347,f757]) ).

fof(f762,definition,
    ( spl0_119
  <=> c3_1(a614) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f763,plain,
    ( ~ c3_1(a614)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f765,plain,
    ( ~ spl0_119
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f150,f248,f762]) ).

fof(f767,definition,
    ( spl0_120
  <=> c2_1(a614) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f769,plain,
    ( ~ spl0_120
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f151,f248,f767]) ).

fof(f771,definition,
    ( spl0_121
  <=> c1_1(a614) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f772,plain,
    ( c1_1(a614)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f773,plain,
    ( spl0_121
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f152,f248,f771]) ).

fof(f774,plain,
    ( spl0_21
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f153,f248,f314]) ).

fof(f776,definition,
    ( spl0_122
  <=> c3_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f777,plain,
    ( ~ c3_1(a609)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f779,plain,
    ( ~ spl0_122
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f154,f265,f776]) ).

fof(f781,definition,
    ( spl0_123
  <=> c1_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f782,plain,
    ( ~ c1_1(a609)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f783,plain,
    ( ~ spl0_123
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f155,f265,f781]) ).

fof(f785,definition,
    ( spl0_124
  <=> c2_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f787,plain,
    ( spl0_124
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f156,f265,f785]) ).

fof(f790,definition,
    ( spl0_125
  <=> c3_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f791,plain,
    ( ~ c3_1(a608)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f790]) ).

fof(f793,plain,
    ( ~ spl0_125
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f158,f459,f790]) ).

fof(f795,definition,
    ( spl0_126
  <=> c0_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f797,plain,
    ( ~ spl0_126
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f159,f459,f795]) ).

fof(f799,definition,
    ( spl0_127
  <=> c1_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f800,plain,
    ( c1_1(a608)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f801,plain,
    ( spl0_127
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f160,f459,f799]) ).

fof(f804,definition,
    ( spl0_128
  <=> c3_1(a605) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ c3_1(a605)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f807,plain,
    ( ~ spl0_128
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f162,f268,f804]) ).

fof(f809,definition,
    ( spl0_129
  <=> c2_1(a605) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f811,plain,
    ( spl0_129
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f163,f268,f809]) ).

fof(f813,definition,
    ( spl0_130
  <=> c0_1(a605) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f815,plain,
    ( spl0_130
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f164,f268,f813]) ).

fof(f818,definition,
    ( spl0_131
  <=> c0_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f821,plain,
    ( ~ spl0_131
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f166,f258,f818]) ).

fof(f823,definition,
    ( spl0_132
  <=> c2_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f825,plain,
    ( spl0_132
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f167,f258,f823]) ).

fof(f827,definition,
    ( spl0_133
  <=> c1_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f828,plain,
    ( c1_1(a604)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f829,plain,
    ( spl0_133
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f168,f258,f827]) ).

fof(f837,definition,
    ( spl0_135
  <=> c1_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f838,plain,
    ( ~ c1_1(a603)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f839,plain,
    ( ~ spl0_135
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f171,f375,f837]) ).

fof(f841,definition,
    ( spl0_136
  <=> c0_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f843,plain,
    ( spl0_136
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f172,f375,f841]) ).

fof(f846,definition,
    ( spl0_137
  <=> c0_1(a602) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f849,plain,
    ( ~ spl0_137
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f174,f411,f846]) ).

fof(f851,definition,
    ( spl0_138
  <=> c3_1(a602) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f852,plain,
    ( c3_1(a602)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f853,plain,
    ( spl0_138
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f175,f411,f851]) ).

fof(f855,definition,
    ( spl0_139
  <=> c2_1(a602) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f857,plain,
    ( spl0_139
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f176,f411,f855]) ).

fof(f860,definition,
    ( spl0_140
  <=> c2_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f863,plain,
    ( ~ spl0_140
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f178,f363,f860]) ).

fof(f865,definition,
    ( spl0_141
  <=> c1_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f866,plain,
    ( ~ c1_1(a600)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f865]) ).

fof(f867,plain,
    ( ~ spl0_141
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f179,f363,f865]) ).

fof(f869,definition,
    ( spl0_142
  <=> c3_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f870,plain,
    ( c3_1(a600)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f871,plain,
    ( spl0_142
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f180,f363,f869]) ).

fof(f874,definition,
    ( spl0_143
  <=> c1_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f875,plain,
    ( ~ c1_1(a599)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f877,plain,
    ( ~ spl0_143
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f182,f311,f874]) ).

fof(f879,definition,
    ( spl0_144
  <=> c3_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f880,plain,
    ( c3_1(a599)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f881,plain,
    ( spl0_144
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f183,f311,f879]) ).

fof(f883,definition,
    ( spl0_145
  <=> c2_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f885,plain,
    ( spl0_145
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f184,f311,f883]) ).

fof(f888,definition,
    ( spl0_146
  <=> c2_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f891,plain,
    ( ~ spl0_146
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f186,f280,f888]) ).

fof(f893,definition,
    ( spl0_147
  <=> c1_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f894,plain,
    ( ~ c1_1(a598)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f895,plain,
    ( ~ spl0_147
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f187,f280,f893]) ).

fof(f897,definition,
    ( spl0_148
  <=> c0_1(a598) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f899,plain,
    ( ~ spl0_148
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f188,f280,f897]) ).

fof(f902,definition,
    ( spl0_149
  <=> c3_1(a597) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f903,plain,
    ( ~ c3_1(a597)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f905,plain,
    ( ~ spl0_149
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f190,f251,f902]) ).

fof(f907,definition,
    ( spl0_150
  <=> c2_1(a597) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f909,plain,
    ( spl0_150
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f191,f251,f907]) ).

fof(f911,definition,
    ( spl0_151
  <=> c1_1(a597) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f912,plain,
    ( c1_1(a597)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f913,plain,
    ( spl0_151
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f192,f251,f911]) ).

fof(f914,plain,
    ( spl0_21
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f193,f251,f314]) ).

fof(f916,definition,
    ( spl0_152
  <=> c1_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f917,plain,
    ( ~ c1_1(a596)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f919,plain,
    ( ~ spl0_152
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f194,f273,f916]) ).

fof(f921,definition,
    ( spl0_153
  <=> c0_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f923,plain,
    ( ~ spl0_153
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f195,f273,f921]) ).

fof(f925,definition,
    ( spl0_154
  <=> c2_1(a596) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f927,plain,
    ( spl0_154
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f196,f273,f925]) ).

fof(f930,definition,
    ( spl0_155
  <=> c3_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f931,plain,
    ( ~ c3_1(a594)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f933,plain,
    ( ~ spl0_155
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f198,f286,f930]) ).

fof(f935,definition,
    ( spl0_156
  <=> c1_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f936,plain,
    ( c1_1(a594)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f937,plain,
    ( spl0_156
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f199,f286,f935]) ).

fof(f939,definition,
    ( spl0_157
  <=> c0_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f941,plain,
    ( spl0_157
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f200,f286,f939]) ).

fof(f944,definition,
    ( spl0_158
  <=> c3_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f945,plain,
    ( ~ c3_1(a593)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f947,plain,
    ( ~ spl0_158
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f202,f335,f944]) ).

fof(f949,definition,
    ( spl0_159
  <=> c0_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f951,plain,
    ( ~ spl0_159
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f203,f335,f949]) ).

fof(f953,definition,
    ( spl0_160
  <=> c2_1(a593) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f955,plain,
    ( spl0_160
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f204,f335,f953]) ).

fof(f959,plain,
    ( ~ c3_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_22
    | ~ spl0_76 ),
    inference(resolution,[],[f318,f562]) ).

fof(f962,definition,
    ( spl0_161
  <=> c2_1(a618) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f971,plain,
    ( ~ c0_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_23
    | ~ spl0_74 ),
    inference(resolution,[],[f322,f553]) ).

fof(f976,definition,
    ( spl0_162
  <=> c0_1(a595) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f981,plain,
    ( ~ c2_1(a595)
    | ~ c0_1(a595)
    | ~ spl0_25
    | ~ spl0_76 ),
    inference(resolution,[],[f329,f562]) ).

fof(f984,plain,
    ( ~ spl0_162
    | ~ spl0_75
    | ~ spl0_25
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f981,f561,f328,f557,f976]) ).

fof(f992,definition,
    ( spl0_163
  <=> c0_1(a609) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f996,plain,
    ( c3_1(a614)
    | ~ c0_1(a614)
    | ~ spl0_32
    | ~ spl0_121 ),
    inference(resolution,[],[f355,f772]) ).

fof(f1001,definition,
    ( spl0_164
  <=> c0_1(a614) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1004,plain,
    ( ~ spl0_164
    | spl0_119
    | ~ spl0_32
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f996,f771,f354,f762,f1001]) ).

fof(f1025,plain,
    ( c2_1(a618)
    | ~ c0_1(a618)
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(resolution,[],[f368,f539]) ).

fof(f1028,definition,
    ( spl0_165
  <=> c0_1(a651) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1041,plain,
    ( ~ c3_1(a651)
    | c2_1(a651)
    | ~ spl0_33
    | ~ spl0_88 ),
    inference(resolution,[],[f360,f618]) ).

fof(f1042,plain,
    ( ~ c3_1(a656)
    | c2_1(a656)
    | ~ spl0_33
    | ~ spl0_85 ),
    inference(resolution,[],[f360,f604]) ).

fof(f1047,definition,
    ( spl0_166
  <=> c2_1(a656) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1050,plain,
    ( spl0_166
    | ~ spl0_84
    | ~ spl0_33
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1042,f603,f359,f599,f1047]) ).

fof(f1051,plain,
    ( spl0_86
    | ~ spl0_87
    | ~ spl0_33
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1041,f617,f359,f613,f608]) ).

fof(f1058,plain,
    ( c2_1(a614)
    | c3_1(a614)
    | ~ spl0_38
    | ~ spl0_121 ),
    inference(resolution,[],[f381,f772]) ).

fof(f1067,plain,
    ( spl0_119
    | spl0_120
    | ~ spl0_38
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1058,f771,f380,f767,f762]) ).

fof(f1070,definition,
    ( spl0_168
  <=> c0_1(a600) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1084,definition,
    ( spl0_169
  <=> c0_1(a690) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1092,plain,
    ( ~ c3_1(a615)
    | ~ c0_1(a615)
    | ~ spl0_42
    | spl0_116 ),
    inference(resolution,[],[f398,f749]) ).

fof(f1099,definition,
    ( spl0_170
  <=> c3_1(a615) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1100,plain,
    ( ~ c3_1(a615)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1099]) ).

fof(f1101,plain,
    ( ~ spl0_118
    | ~ spl0_170
    | ~ spl0_42
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1092,f748,f397,f1099,f757]) ).

fof(f1117,definition,
    ( spl0_171
  <=> c2_1(a667) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1136,definition,
    ( spl0_172
  <=> c0_1(a599) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1140,plain,
    ( ~ c2_1(a605)
    | ~ c0_1(a605)
    | ~ spl0_29
    | spl0_128 ),
    inference(resolution,[],[f343,f805]) ).

fof(f1150,plain,
    ( ~ c3_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_41
    | spl0_143 ),
    inference(resolution,[],[f394,f875]) ).

fof(f1158,definition,
    ( spl0_173
  <=> c2_1(a625) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1166,plain,
    ( ~ spl0_145
    | ~ spl0_144
    | ~ spl0_41
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1150,f874,f393,f879,f883]) ).

fof(f1169,plain,
    ( ~ c0_1(a614)
    | c2_1(a614)
    | ~ spl0_40
    | spl0_119 ),
    inference(resolution,[],[f763,f388]) ).

fof(f1184,definition,
    ( spl0_174
  <=> c3_1(a604) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1210,plain,
    ( ~ c2_1(a609)
    | c3_1(a609)
    | ~ spl0_46
    | spl0_123 ),
    inference(resolution,[],[f415,f782]) ).

fof(f1213,plain,
    ( ~ c2_1(a667)
    | c3_1(a667)
    | ~ spl0_46
    | spl0_81 ),
    inference(resolution,[],[f415,f586]) ).

fof(f1218,plain,
    ( spl0_80
    | ~ spl0_171
    | ~ spl0_46
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1213,f585,f414,f1117,f580]) ).

fof(f1220,plain,
    ( spl0_122
    | ~ spl0_124
    | ~ spl0_46
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1210,f781,f414,f785,f776]) ).

fof(f1301,plain,
    ( ~ c3_1(a656)
    | c0_1(a656)
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(resolution,[],[f444,f604]) ).

fof(f1305,plain,
    ( spl0_83
    | ~ spl0_84
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1301,f603,f443,f599,f594]) ).

fof(f1316,definition,
    ( spl0_176
  <=> c3_1(a603) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1355,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_25
    | ~ spl0_42 ),
    inference(resolution,[],[f398,f329]) ).

fof(f1368,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f1355]) ).

fof(f1372,plain,
    ( spl0_23
    | ~ spl0_25
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1368,f397,f328,f321]) ).

fof(f1384,plain,
    ( ~ c0_1(a672)
    | ~ c2_1(a672)
    | ~ spl0_23
    | ~ spl0_65 ),
    inference(resolution,[],[f322,f510]) ).

fof(f1388,plain,
    ( ~ spl0_66
    | ~ spl0_67
    | ~ spl0_23
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1384,f509,f321,f518,f514]) ).

fof(f1390,plain,
    ( ~ c2_1(a594)
    | ~ c0_1(a594)
    | ~ spl0_29
    | spl0_155 ),
    inference(resolution,[],[f931,f343]) ).

fof(f1391,plain,
    ( ~ c0_1(a594)
    | c2_1(a594)
    | ~ spl0_40
    | spl0_155 ),
    inference(resolution,[],[f931,f388]) ).

fof(f1393,definition,
    ( spl0_178
  <=> c2_1(a594) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1396,plain,
    ( spl0_178
    | ~ spl0_157
    | ~ spl0_40
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1391,f930,f387,f939,f1393]) ).

fof(f1398,plain,
    ( ~ spl0_157
    | ~ spl0_178
    | ~ spl0_29
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1390,f930,f342,f1393,f939]) ).

fof(f1405,plain,
    ( ~ c0_1(a618)
    | ~ c2_1(a618)
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(resolution,[],[f539,f322]) ).

fof(f1406,plain,
    ( ~ spl0_161
    | ~ spl0_73
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1405,f538,f321,f547,f962]) ).

fof(f1438,plain,
    ( ~ c3_1(a604)
    | c0_1(a604)
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(resolution,[],[f444,f828]) ).

fof(f1441,plain,
    ( ~ c3_1(a651)
    | c0_1(a651)
    | ~ spl0_53
    | ~ spl0_88 ),
    inference(resolution,[],[f444,f618]) ).

fof(f1446,plain,
    ( spl0_165
    | ~ spl0_87
    | ~ spl0_53
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1441,f617,f443,f613,f1028]) ).

fof(f1447,plain,
    ( spl0_131
    | ~ spl0_174
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1438,f827,f443,f1184,f818]) ).

fof(f1461,plain,
    ( ~ c2_1(a609)
    | ~ c0_1(a609)
    | ~ spl0_29
    | spl0_122 ),
    inference(resolution,[],[f777,f343]) ).

fof(f1466,definition,
    ( spl0_179
  <=> c2_1(a608) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1481,plain,
    ( c0_1(a608)
    | c3_1(a608)
    | ~ spl0_58
    | ~ spl0_127 ),
    inference(resolution,[],[f467,f800]) ).

fof(f1482,plain,
    ( c0_1(a614)
    | c3_1(a614)
    | ~ spl0_58
    | ~ spl0_121 ),
    inference(resolution,[],[f467,f772]) ).

fof(f1491,plain,
    ( spl0_119
    | spl0_164
    | ~ spl0_58
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1482,f771,f466,f1001,f762]) ).

fof(f1498,plain,
    ( spl0_120
    | ~ spl0_164
    | ~ spl0_40
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1169,f762,f387,f1001,f767]) ).

fof(f1535,definition,
    ( spl0_182
  <=> c2_1(a631) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1546,plain,
    ( ~ c2_1(a594)
    | c3_1(a594)
    | ~ spl0_28
    | ~ spl0_156 ),
    inference(resolution,[],[f339,f936]) ).

fof(f1548,plain,
    ( ~ c2_1(a608)
    | c3_1(a608)
    | ~ spl0_28
    | ~ spl0_127 ),
    inference(resolution,[],[f339,f800]) ).

fof(f1553,plain,
    ( spl0_125
    | ~ spl0_179
    | ~ spl0_28
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1548,f799,f338,f1466,f790]) ).

fof(f1555,plain,
    ( spl0_155
    | ~ spl0_178
    | ~ spl0_28
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1546,f935,f338,f1393,f930]) ).

fof(f1564,plain,
    ( ~ c3_1(a618)
    | ~ c0_1(a618)
    | ~ spl0_47
    | ~ spl0_72 ),
    inference(resolution,[],[f419,f544]) ).

fof(f1567,plain,
    ( ~ spl0_73
    | ~ spl0_71
    | ~ spl0_47
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1564,f543,f418,f538,f547]) ).

fof(f1581,plain,
    ( c0_1(a602)
    | ~ c2_1(a602)
    | ~ spl0_52
    | ~ spl0_138 ),
    inference(resolution,[],[f438,f852]) ).

fof(f1596,plain,
    ( ~ spl0_139
    | spl0_137
    | ~ spl0_52
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1581,f851,f437,f846,f855]) ).

fof(f1610,definition,
    ( spl0_183
  <=> c3_1(a637) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1621,plain,
    ( c2_1(a594)
    | c3_1(a594)
    | ~ spl0_38
    | ~ spl0_156 ),
    inference(resolution,[],[f381,f936]) ).

fof(f1634,plain,
    ( spl0_155
    | spl0_178
    | ~ spl0_38
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1621,f935,f380,f1393,f930]) ).

fof(f1637,plain,
    ( ~ c2_1(a604)
    | c0_1(a604)
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(resolution,[],[f449,f828]) ).

fof(f1646,plain,
    ( spl0_131
    | ~ spl0_132
    | ~ spl0_54
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1637,f827,f448,f823,f818]) ).

fof(f1669,plain,
    ( ~ c2_1(a595)
    | c0_1(a595)
    | ~ spl0_54
    | ~ spl0_76 ),
    inference(resolution,[],[f562,f449]) ).

fof(f1672,plain,
    ( ~ c3_1(a595)
    | c0_1(a595)
    | ~ spl0_53
    | ~ spl0_76 ),
    inference(resolution,[],[f562,f444]) ).

fof(f1673,plain,
    ( spl0_162
    | ~ spl0_74
    | ~ spl0_53
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1672,f561,f443,f552,f976]) ).

fof(f1674,plain,
    ( spl0_162
    | ~ spl0_75
    | ~ spl0_54
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1669,f561,f448,f557,f976]) ).

fof(f1675,plain,
    ( ~ c2_1(a615)
    | ~ c0_1(a615)
    | ~ spl0_29
    | spl0_170 ),
    inference(resolution,[],[f1100,f343]) ).

fof(f1684,plain,
    ( ~ c0_1(a603)
    | c3_1(a603)
    | ~ spl0_57
    | spl0_135 ),
    inference(resolution,[],[f463,f838]) ).

fof(f1691,plain,
    ( ~ c0_1(a690)
    | c3_1(a690)
    | ~ spl0_57
    | spl0_79 ),
    inference(resolution,[],[f463,f576]) ).

fof(f1697,plain,
    ( spl0_176
    | ~ spl0_136
    | ~ spl0_57
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1684,f837,f462,f841,f1316]) ).

fof(f1704,plain,
    ( ~ spl0_73
    | spl0_161
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1025,f538,f367,f962,f547]) ).

fof(f1712,plain,
    ( c3_1(a594)
    | ~ c0_1(a594)
    | ~ spl0_32
    | ~ spl0_156 ),
    inference(resolution,[],[f355,f936]) ).

fof(f1724,plain,
    ( ~ spl0_157
    | spl0_155
    | ~ spl0_32
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1712,f935,f354,f930,f939]) ).

fof(f1727,plain,
    ( c2_1(a600)
    | ~ c0_1(a600)
    | ~ spl0_35
    | ~ spl0_142 ),
    inference(resolution,[],[f368,f870]) ).

fof(f1730,plain,
    ( c2_1(a631)
    | ~ c0_1(a631)
    | ~ spl0_35
    | ~ spl0_96 ),
    inference(resolution,[],[f368,f656]) ).

fof(f1739,plain,
    ( ~ spl0_97
    | spl0_182
    | ~ spl0_35
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1730,f655,f367,f1535,f659]) ).

fof(f1748,plain,
    ( ~ c3_1(a599)
    | ~ c0_1(a599)
    | ~ spl0_42
    | spl0_143 ),
    inference(resolution,[],[f398,f875]) ).

fof(f1750,plain,
    ( ~ c3_1(a603)
    | ~ c0_1(a603)
    | ~ spl0_42
    | spl0_135 ),
    inference(resolution,[],[f398,f838]) ).

fof(f1755,plain,
    ( ~ c3_1(a631)
    | ~ c0_1(a631)
    | ~ spl0_42
    | spl0_95 ),
    inference(resolution,[],[f398,f651]) ).

fof(f1760,plain,
    ( ~ spl0_97
    | ~ spl0_96
    | ~ spl0_42
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1755,f650,f397,f655,f659]) ).

fof(f1761,plain,
    ( ~ spl0_136
    | ~ spl0_176
    | ~ spl0_42
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1750,f837,f397,f1316,f841]) ).

fof(f1770,plain,
    ( c0_1(a651)
    | c2_1(a651)
    | ~ spl0_59
    | ~ spl0_88 ),
    inference(resolution,[],[f472,f618]) ).

fof(f1774,plain,
    ( spl0_86
    | spl0_165
    | ~ spl0_59
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1770,f617,f471,f1028,f608]) ).

fof(f1778,plain,
    ( c0_1(a608)
    | c2_1(a608)
    | ~ spl0_60
    | spl0_125 ),
    inference(resolution,[],[f479,f791]) ).

fof(f1780,plain,
    ( c0_1(a614)
    | c2_1(a614)
    | ~ spl0_60
    | spl0_119 ),
    inference(resolution,[],[f479,f763]) ).

fof(f1785,plain,
    ( c0_1(a667)
    | c2_1(a667)
    | ~ spl0_60
    | spl0_80 ),
    inference(resolution,[],[f479,f581]) ).

fof(f1786,plain,
    ( c0_1(a690)
    | c2_1(a690)
    | ~ spl0_60
    | spl0_77 ),
    inference(resolution,[],[f479,f567]) ).

fof(f1796,plain,
    ( spl0_120
    | spl0_164
    | ~ spl0_60
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1780,f762,f478,f1001,f767]) ).

fof(f1797,plain,
    ( spl0_179
    | spl0_126
    | ~ spl0_60
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1778,f790,f478,f795,f1466]) ).

fof(f1811,plain,
    ( ~ c3_1(a599)
    | c0_1(a599)
    | ~ spl0_61
    | spl0_143 ),
    inference(resolution,[],[f485,f875]) ).

fof(f1812,plain,
    ( ~ c3_1(a600)
    | c0_1(a600)
    | ~ spl0_61
    | spl0_141 ),
    inference(resolution,[],[f485,f866]) ).

fof(f1817,plain,
    ( ~ c3_1(a625)
    | c0_1(a625)
    | ~ spl0_61
    | spl0_104 ),
    inference(resolution,[],[f485,f693]) ).

fof(f1824,plain,
    ( spl0_105
    | ~ spl0_106
    | ~ spl0_61
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1817,f692,f484,f701,f697]) ).

fof(f1826,plain,
    ( spl0_168
    | ~ spl0_142
    | ~ spl0_61
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1812,f865,f484,f869,f1070]) ).

fof(f1827,plain,
    ( spl0_172
    | ~ spl0_144
    | ~ spl0_61
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1811,f874,f484,f879,f1136]) ).

fof(f1837,plain,
    ( ~ c2_1(a596)
    | c0_1(a596)
    | ~ spl0_62
    | spl0_152 ),
    inference(resolution,[],[f492,f917]) ).

fof(f1842,plain,
    ( ~ c2_1(a609)
    | c0_1(a609)
    | ~ spl0_62
    | spl0_123 ),
    inference(resolution,[],[f492,f782]) ).

fof(f1847,plain,
    ( ~ c2_1(a667)
    | c0_1(a667)
    | ~ spl0_62
    | spl0_81 ),
    inference(resolution,[],[f492,f586]) ).

fof(f1851,plain,
    ( spl0_82
    | ~ spl0_171
    | ~ spl0_62
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1847,f585,f491,f1117,f589]) ).

fof(f1856,plain,
    ( spl0_163
    | ~ spl0_124
    | ~ spl0_62
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1842,f781,f491,f785,f992]) ).

fof(f1859,plain,
    ( spl0_153
    | ~ spl0_154
    | ~ spl0_62
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1837,f916,f491,f925,f921]) ).

fof(f1870,plain,
    ( c3_1(a609)
    | c0_1(a609)
    | ~ spl0_63
    | spl0_123 ),
    inference(resolution,[],[f498,f782]) ).

fof(f1875,plain,
    ( c3_1(a667)
    | c0_1(a667)
    | ~ spl0_63
    | spl0_81 ),
    inference(resolution,[],[f498,f586]) ).

fof(f1883,plain,
    ( spl0_82
    | spl0_80
    | ~ spl0_63
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1875,f585,f497,f580,f589]) ).

fof(f1899,plain,
    ( ~ spl0_168
    | spl0_140
    | ~ spl0_35
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1727,f869,f367,f860,f1070]) ).

fof(f1966,plain,
    ( c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_52
    | ~ spl0_144 ),
    inference(resolution,[],[f438,f880]) ).

fof(f1970,plain,
    ( c0_1(a625)
    | ~ c2_1(a625)
    | ~ spl0_52
    | ~ spl0_106 ),
    inference(resolution,[],[f438,f702]) ).

fof(f1984,plain,
    ( ~ spl0_173
    | spl0_105
    | ~ spl0_52
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1970,f701,f437,f697,f1158]) ).

fof(f1987,plain,
    ( ~ spl0_145
    | spl0_172
    | ~ spl0_52
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1966,f879,f437,f1136,f883]) ).

fof(f1990,plain,
    ( ~ c2_1(a593)
    | c0_1(a593)
    | ~ spl0_55
    | spl0_158 ),
    inference(resolution,[],[f454,f945]) ).

fof(f1999,plain,
    ( spl0_159
    | ~ spl0_160
    | ~ spl0_55
    | spl0_158 ),
    inference(avatar_split_clause,[],[f1990,f944,f453,f953,f949]) ).

fof(f2001,plain,
    ( ~ spl0_75
    | ~ spl0_74
    | ~ spl0_22
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f959,f561,f317,f552,f557]) ).

fof(f2014,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_58
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1481,f799,f466,f795,f790]) ).

fof(f2025,plain,
    ( spl0_163
    | spl0_122
    | ~ spl0_63
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1870,f781,f497,f776,f992]) ).

fof(f2041,plain,
    ( ~ spl0_75
    | ~ spl0_162
    | ~ spl0_23
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f971,f552,f321,f976,f557]) ).

fof(f2066,plain,
    ( c0_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_52
    | ~ spl0_74 ),
    inference(resolution,[],[f553,f438]) ).

fof(f2069,plain,
    ( ~ spl0_75
    | spl0_162
    | ~ spl0_52
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2066,f552,f437,f976,f557]) ).

fof(f2072,plain,
    ( c2_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_35
    | ~ spl0_87 ),
    inference(resolution,[],[f614,f368]) ).

fof(f2073,plain,
    ( ~ spl0_165
    | spl0_86
    | ~ spl0_35
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f2072,f613,f367,f608,f1028]) ).

fof(f2075,plain,
    ( ~ c2_1(a609)
    | c0_1(a609)
    | ~ spl0_55
    | spl0_122 ),
    inference(resolution,[],[f777,f454]) ).

fof(f2077,plain,
    ( spl0_163
    | ~ spl0_124
    | ~ spl0_55
    | spl0_122 ),
    inference(avatar_split_clause,[],[f2075,f776,f453,f785,f992]) ).

fof(f2084,plain,
    ( ~ c3_1(a604)
    | ~ c2_1(a604)
    | ~ spl0_22
    | ~ spl0_133 ),
    inference(resolution,[],[f318,f828]) ).

fof(f2089,plain,
    ( ~ c3_1(a656)
    | ~ c2_1(a656)
    | ~ spl0_22
    | ~ spl0_85 ),
    inference(resolution,[],[f318,f604]) ).

fof(f2090,plain,
    ( ~ c3_1(a595)
    | ~ c2_1(a595)
    | ~ spl0_22
    | ~ spl0_76 ),
    inference(resolution,[],[f318,f562]) ).

fof(f2091,plain,
    ( ~ c3_1(a637)
    | ~ c2_1(a637)
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(resolution,[],[f318,f530]) ).

fof(f2093,plain,
    ( ~ spl0_68
    | ~ spl0_183
    | ~ spl0_22
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2091,f529,f317,f1610,f524]) ).

fof(f2094,plain,
    ( ~ spl0_75
    | ~ spl0_74
    | ~ spl0_22
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f2090,f561,f317,f552,f557]) ).

fof(f2095,plain,
    ( ~ spl0_166
    | ~ spl0_84
    | ~ spl0_22
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2089,f603,f317,f599,f1047]) ).

fof(f2098,plain,
    ( ~ spl0_132
    | ~ spl0_174
    | ~ spl0_22
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2084,f827,f317,f1184,f823]) ).

fof(f2102,plain,
    ( ~ c2_1(a597)
    | c0_1(a597)
    | ~ spl0_55
    | spl0_149 ),
    inference(resolution,[],[f903,f454]) ).

fof(f2105,definition,
    ( spl0_184
  <=> c0_1(a597) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f2109,plain,
    ( spl0_184
    | ~ spl0_150
    | ~ spl0_55
    | spl0_149 ),
    inference(avatar_split_clause,[],[f2102,f902,f453,f907,f2105]) ).

fof(f2117,plain,
    ( ~ c0_1(a599)
    | ~ c2_1(a599)
    | ~ spl0_23
    | ~ spl0_144 ),
    inference(resolution,[],[f322,f880]) ).

fof(f2122,plain,
    ( ~ c0_1(a631)
    | ~ c2_1(a631)
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(resolution,[],[f322,f656]) ).

fof(f2128,plain,
    ( ~ spl0_182
    | ~ spl0_97
    | ~ spl0_23
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2122,f655,f321,f659,f1535]) ).

fof(f2130,plain,
    ( ~ spl0_145
    | ~ spl0_172
    | ~ spl0_23
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2117,f879,f321,f1136,f883]) ).

fof(f2134,plain,
    ( ~ c2_1(a597)
    | c3_1(a597)
    | ~ spl0_28
    | ~ spl0_151 ),
    inference(resolution,[],[f339,f912]) ).

fof(f2135,plain,
    ( ~ c2_1(a604)
    | c3_1(a604)
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(resolution,[],[f339,f828]) ).

fof(f2141,plain,
    ( ~ c2_1(a637)
    | c3_1(a637)
    | ~ spl0_28
    | ~ spl0_69 ),
    inference(resolution,[],[f339,f530]) ).

fof(f2142,plain,
    ( spl0_183
    | ~ spl0_68
    | ~ spl0_28
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2141,f529,f338,f524,f1610]) ).

fof(f2144,plain,
    ( spl0_174
    | ~ spl0_132
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2135,f827,f338,f823,f1184]) ).

fof(f2146,plain,
    ( spl0_149
    | ~ spl0_150
    | ~ spl0_28
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2134,f911,f338,f907,f902]) ).

fof(f2157,plain,
    ( ~ c2_1(a597)
    | ~ c0_1(a597)
    | ~ spl0_25
    | ~ spl0_151 ),
    inference(resolution,[],[f329,f912]) ).

fof(f2164,plain,
    ( ~ c2_1(a637)
    | ~ c0_1(a637)
    | ~ spl0_25
    | ~ spl0_69 ),
    inference(resolution,[],[f329,f530]) ).

fof(f2166,plain,
    ( ~ spl0_70
    | ~ spl0_68
    | ~ spl0_25
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2164,f529,f328,f524,f533]) ).

fof(f2169,plain,
    ( ~ spl0_184
    | ~ spl0_150
    | ~ spl0_25
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2157,f911,f328,f907,f2105]) ).

fof(f2175,plain,
    ( c2_1(a651)
    | ~ c0_1(a651)
    | ~ spl0_36
    | ~ spl0_88 ),
    inference(resolution,[],[f372,f618]) ).

fof(f2181,plain,
    ( ~ spl0_165
    | spl0_86
    | ~ spl0_36
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2175,f617,f371,f608,f1028]) ).

fof(f2197,plain,
    ( ~ c3_1(a625)
    | ~ c2_1(a625)
    | ~ spl0_41
    | spl0_104 ),
    inference(resolution,[],[f394,f693]) ).

fof(f2205,plain,
    ( ~ spl0_173
    | ~ spl0_106
    | ~ spl0_41
    | spl0_104 ),
    inference(avatar_split_clause,[],[f2197,f692,f393,f701,f1158]) ).

fof(f2209,plain,
    ( c0_1(a597)
    | c3_1(a597)
    | ~ spl0_58
    | ~ spl0_151 ),
    inference(resolution,[],[f467,f912]) ).

fof(f2210,plain,
    ( c0_1(a604)
    | c3_1(a604)
    | ~ spl0_58
    | ~ spl0_133 ),
    inference(resolution,[],[f467,f828]) ).

fof(f2217,plain,
    ( spl0_174
    | spl0_131
    | ~ spl0_58
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2210,f827,f466,f818,f1184]) ).

fof(f2218,plain,
    ( spl0_149
    | spl0_184
    | ~ spl0_58
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2209,f911,f466,f2105,f902]) ).

fof(f2226,plain,
    ( c2_1(a598)
    | c0_1(a598)
    | ~ spl0_64
    | spl0_147 ),
    inference(resolution,[],[f502,f894]) ).

fof(f2232,plain,
    ( c2_1(a625)
    | c0_1(a625)
    | ~ spl0_64
    | spl0_104 ),
    inference(resolution,[],[f502,f693]) ).

fof(f2234,plain,
    ( c2_1(a667)
    | c0_1(a667)
    | ~ spl0_64
    | spl0_81 ),
    inference(resolution,[],[f502,f586]) ).

fof(f2240,plain,
    ( spl0_82
    | spl0_171
    | ~ spl0_64
    | spl0_81 ),
    inference(avatar_split_clause,[],[f2234,f585,f501,f1117,f589]) ).

fof(f2242,plain,
    ( spl0_105
    | spl0_173
    | ~ spl0_64
    | spl0_104 ),
    inference(avatar_split_clause,[],[f2232,f692,f501,f1158,f697]) ).

fof(f2244,plain,
    ( spl0_148
    | spl0_146
    | ~ spl0_64
    | spl0_147 ),
    inference(avatar_split_clause,[],[f2226,f893,f501,f888,f897]) ).

fof(f2249,plain,
    ( ~ spl0_130
    | ~ spl0_129
    | ~ spl0_29
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1140,f804,f342,f809,f813]) ).

fof(f2251,plain,
    ( ~ spl0_163
    | ~ spl0_124
    | ~ spl0_29
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1461,f776,f342,f785,f992]) ).

fof(f2254,plain,
    ( ~ spl0_118
    | ~ spl0_117
    | ~ spl0_29
    | spl0_170 ),
    inference(avatar_split_clause,[],[f1675,f1099,f342,f753,f757]) ).

fof(f2260,plain,
    ( spl0_77
    | ~ spl0_169
    | ~ spl0_57
    | spl0_79 ),
    inference(avatar_split_clause,[],[f1691,f575,f462,f1084,f566]) ).

fof(f2263,plain,
    ( spl0_171
    | spl0_82
    | ~ spl0_60
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1785,f580,f478,f589,f1117]) ).

fof(f2264,plain,
    ( spl0_78
    | spl0_169
    | ~ spl0_60
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1786,f566,f478,f1084,f571]) ).

fof(f2266,plain,
    ( ~ spl0_172
    | ~ spl0_144
    | ~ spl0_42
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1748,f874,f397,f879,f1136]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f253]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f260]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f270]) ).

cnf(s4,plain,
    ( spl0_5
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s5,plain,
    ( spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s6,plain,
    ( spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f288]) ).

cnf(s7,plain,
    ( spl0_4
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f292]) ).

cnf(s9,plain,
    ( spl0_3
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f309]) ).

cnf(s10,plain,
    ( spl0_6
    | spl0_20
    | ~ spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f319]) ).

cnf(s14,plain,
    ( spl0_16
    | ~ spl0_21
    | spl0_29 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s15,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_21
    | spl0_29 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s18,plain,
    ( spl0_4
    | ~ spl0_21
    | spl0_23
    | spl0_32 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s19,plain,
    ( spl0_8
    | spl0_20
    | ~ spl0_21
    | spl0_33 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s20,plain,
    ( spl0_17
    | ~ spl0_21
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s24,plain,
    ( spl0_6
    | ~ spl0_21
    | spl0_25
    | spl0_36 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s25,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_25
    | spl0_38 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s27,plain,
    ( spl0_19
    | ~ spl0_21
    | spl0_23
    | spl0_40 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s29,plain,
    ( spl0_2
    | spl0_7
    | ~ spl0_21
    | spl0_41 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s31,plain,
    ( spl0_12
    | ~ spl0_21
    | spl0_32
    | spl0_42 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s32,plain,
    ( ~ spl0_21
    | spl0_28
    | spl0_38
    | spl0_42 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s36,plain,
    ( spl0_6
    | ~ spl0_21
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s41,plain,
    ( spl0_17
    | ~ spl0_21
    | spl0_25
    | spl0_52 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s42,plain,
    ( ~ spl0_21
    | spl0_25
    | spl0_38
    | spl0_52 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s43,plain,
    ( ~ spl0_21
    | spl0_30
    | spl0_37
    | spl0_53 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s44,plain,
    ( ~ spl0_21
    | spl0_25
    | spl0_30
    | spl0_53 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s45,plain,
    ( spl0_2
    | ~ spl0_21
    | spl0_35
    | spl0_54 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s46,plain,
    ( ~ spl0_21
    | spl0_22
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s47,plain,
    ( spl0_10
    | ~ spl0_21
    | spl0_45
    | spl0_55 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s48,plain,
    ( spl0_8
    | spl0_20
    | ~ spl0_21
    | spl0_55 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s50,plain,
    ( ~ spl0_21
    | spl0_55
    | spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s51,plain,
    ( spl0_10
    | ~ spl0_21
    | spl0_33
    | spl0_58 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s52,plain,
    ( spl0_13
    | ~ spl0_21
    | spl0_42
    | spl0_58 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s53,plain,
    ( spl0_8
    | ~ spl0_21
    | spl0_22
    | spl0_59 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s54,plain,
    ( spl0_5
    | ~ spl0_21
    | spl0_23
    | spl0_59 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s59,plain,
    ( spl0_20
    | ~ spl0_21
    | spl0_58
    | spl0_60 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s61,plain,
    ( ~ spl0_21
    | spl0_35
    | spl0_52
    | spl0_61 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s62,plain,
    ( ~ spl0_21
    | spl0_32
    | spl0_58
    | spl0_61 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s63,plain,
    ( ~ spl0_21
    | spl0_52
    | spl0_60
    | spl0_61 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s64,plain,
    ( spl0_3
    | spl0_11
    | ~ spl0_21
    | spl0_62 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s66,plain,
    ( spl0_13
    | ~ spl0_21
    | spl0_42
    | spl0_62 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s67,plain,
    ( ~ spl0_21
    | spl0_23
    | spl0_61
    | spl0_63 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s68,plain,
    ( ~ spl0_21
    | spl0_25
    | spl0_28
    | spl0_64 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s69,plain,
    ( ~ spl0_21
    | spl0_27
    | spl0_29
    | spl0_64 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s70,plain,
    ( ~ spl0_21
    | spl0_35
    | spl0_40
    | spl0_64 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s71,plain,
    ( ~ spl0_21
    | spl0_29
    | spl0_61
    | spl0_64 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s72,plain,
    ( ~ spl0_21
    | spl0_60
    | spl0_63
    | spl0_64 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s73,plain,
    ( ~ spl0_14
    | spl0_65 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s74,plain,
    ( ~ spl0_14
    | spl0_66 ),
    inference(sat_conversion,[],[f516]) ).

cnf(s75,plain,
    ( ~ spl0_14
    | spl0_67 ),
    inference(sat_conversion,[],[f520]) ).

cnf(s77,plain,
    ( ~ spl0_19
    | spl0_68 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s78,plain,
    ( ~ spl0_19
    | spl0_69 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s79,plain,
    ( ~ spl0_19
    | spl0_70 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s81,plain,
    ( ~ spl0_17
    | spl0_71 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s82,plain,
    ( ~ spl0_17
    | spl0_72 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s83,plain,
    ( ~ spl0_17
    | spl0_73 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s85,plain,
    ( ~ spl0_10
    | spl0_74 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s86,plain,
    ( ~ spl0_10
    | spl0_75 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s87,plain,
    ( ~ spl0_10
    | spl0_76 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s89,plain,
    ( ~ spl0_1
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s90,plain,
    ( ~ spl0_1
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s91,plain,
    ( ~ spl0_1
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s92,plain,
    ( ~ spl0_1
    | spl0_21 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s93,plain,
    ( ~ spl0_18
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s94,plain,
    ( ~ spl0_18
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s95,plain,
    ( ~ spl0_18
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s97,plain,
    ( ~ spl0_16
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s98,plain,
    ( ~ spl0_16
    | spl0_84 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s99,plain,
    ( ~ spl0_16
    | spl0_85 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s101,plain,
    ( ~ spl0_4
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s102,plain,
    ( ~ spl0_4
    | spl0_87 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s103,plain,
    ( ~ spl0_4
    | spl0_88 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s113,plain,
    ( ~ spl0_12
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s114,plain,
    ( ~ spl0_12
    | spl0_96 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s115,plain,
    ( ~ spl0_12
    | spl0_97 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s125,plain,
    ( ~ spl0_6
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s126,plain,
    ( ~ spl0_6
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s127,plain,
    ( ~ spl0_6
    | spl0_106 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s141,plain,
    ( ~ spl0_30
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s142,plain,
    ( ~ spl0_30
    | spl0_117 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s143,plain,
    ( ~ spl0_30
    | spl0_118 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s145,plain,
    ( ~ spl0_2
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s146,plain,
    ( ~ spl0_2
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s147,plain,
    ( ~ spl0_2
    | spl0_121 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s148,plain,
    ( ~ spl0_2
    | spl0_21 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s149,plain,
    ( ~ spl0_7
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s150,plain,
    ( ~ spl0_7
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s151,plain,
    ( ~ spl0_7
    | spl0_124 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s153,plain,
    ( ~ spl0_56
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s154,plain,
    ( ~ spl0_56
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s155,plain,
    ( ~ spl0_56
    | spl0_127 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s157,plain,
    ( ~ spl0_8
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s158,plain,
    ( ~ spl0_8
    | spl0_129 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s159,plain,
    ( ~ spl0_8
    | spl0_130 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s161,plain,
    ( ~ spl0_5
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s162,plain,
    ( ~ spl0_5
    | spl0_132 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s163,plain,
    ( ~ spl0_5
    | spl0_133 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s166,plain,
    ( ~ spl0_37
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s167,plain,
    ( ~ spl0_37
    | spl0_136 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s169,plain,
    ( ~ spl0_45
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s170,plain,
    ( ~ spl0_45
    | spl0_138 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s171,plain,
    ( ~ spl0_45
    | spl0_139 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s173,plain,
    ( ~ spl0_34
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s174,plain,
    ( ~ spl0_34
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s175,plain,
    ( ~ spl0_34
    | spl0_142 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s177,plain,
    ( ~ spl0_20
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s178,plain,
    ( ~ spl0_20
    | spl0_144 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s179,plain,
    ( ~ spl0_20
    | spl0_145 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s181,plain,
    ( ~ spl0_11
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s182,plain,
    ( ~ spl0_11
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s183,plain,
    ( ~ spl0_11
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s185,plain,
    ( ~ spl0_3
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s186,plain,
    ( ~ spl0_3
    | spl0_150 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s187,plain,
    ( ~ spl0_3
    | spl0_151 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s188,plain,
    ( ~ spl0_3
    | spl0_21 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s189,plain,
    ( ~ spl0_9
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s190,plain,
    ( ~ spl0_9
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s191,plain,
    ( ~ spl0_9
    | spl0_154 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s193,plain,
    ( ~ spl0_13
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s194,plain,
    ( ~ spl0_13
    | spl0_156 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s195,plain,
    ( ~ spl0_13
    | spl0_157 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s197,plain,
    ( ~ spl0_27
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f947]) ).

cnf(s198,plain,
    ( ~ spl0_27
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s199,plain,
    ( ~ spl0_27
    | spl0_160 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s206,plain,
    ( ~ spl0_25
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s208,plain,
    ( ~ spl0_32
    | spl0_119
    | ~ spl0_121
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1004]) ).

cnf(s218,plain,
    ( ~ spl0_33
    | ~ spl0_84
    | ~ spl0_85
    | spl0_166 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s219,plain,
    ( ~ spl0_33
    | spl0_86
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f1051]) ).

cnf(s222,plain,
    ( ~ spl0_38
    | spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1067]) ).

cnf(s225,plain,
    ( ~ spl0_42
    | spl0_116
    | ~ spl0_118
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1101]) ).

cnf(s241,plain,
    ( ~ spl0_41
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s247,plain,
    ( ~ spl0_46
    | spl0_80
    | spl0_81
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1218]) ).

cnf(s249,plain,
    ( ~ spl0_46
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1220]) ).

cnf(s262,plain,
    ( ~ spl0_53
    | spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f1305]) ).

cnf(s280,plain,
    ( spl0_23
    | ~ spl0_25
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s283,plain,
    ( ~ spl0_23
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f1388]) ).

cnf(s285,plain,
    ( ~ spl0_40
    | spl0_155
    | ~ spl0_157
    | spl0_178 ),
    inference(sat_conversion,[],[f1396]) ).

cnf(s286,plain,
    ( ~ spl0_29
    | spl0_155
    | ~ spl0_157
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1398]) ).

cnf(s293,plain,
    ( ~ spl0_23
    | ~ spl0_71
    | ~ spl0_73
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1406]) ).

cnf(s298,plain,
    ( ~ spl0_53
    | ~ spl0_87
    | ~ spl0_88
    | spl0_165 ),
    inference(sat_conversion,[],[f1446]) ).

cnf(s299,plain,
    ( ~ spl0_53
    | spl0_131
    | ~ spl0_133
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1447]) ).

cnf(s306,plain,
    ( ~ spl0_58
    | spl0_119
    | ~ spl0_121
    | spl0_164 ),
    inference(sat_conversion,[],[f1491]) ).

cnf(s311,plain,
    ( ~ spl0_40
    | spl0_119
    | spl0_120
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1498]) ).

cnf(s334,plain,
    ( ~ spl0_28
    | spl0_125
    | ~ spl0_127
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1553]) ).

cnf(s336,plain,
    ( ~ spl0_28
    | spl0_155
    | ~ spl0_156
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1555]) ).

cnf(s337,plain,
    ( ~ spl0_47
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f1567]) ).

cnf(s349,plain,
    ( ~ spl0_52
    | spl0_137
    | ~ spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1596]) ).

cnf(s365,plain,
    ( ~ spl0_38
    | spl0_155
    | ~ spl0_156
    | spl0_178 ),
    inference(sat_conversion,[],[f1634]) ).

cnf(s369,plain,
    ( ~ spl0_54
    | spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1646]) ).

cnf(s379,plain,
    ( ~ spl0_53
    | ~ spl0_74
    | ~ spl0_76
    | spl0_162 ),
    inference(sat_conversion,[],[f1673]) ).

cnf(s380,plain,
    ( ~ spl0_54
    | ~ spl0_75
    | ~ spl0_76
    | spl0_162 ),
    inference(sat_conversion,[],[f1674]) ).

cnf(s382,plain,
    ( ~ spl0_57
    | spl0_135
    | ~ spl0_136
    | spl0_176 ),
    inference(sat_conversion,[],[f1697]) ).

cnf(s389,plain,
    ( ~ spl0_35
    | ~ spl0_71
    | ~ spl0_73
    | spl0_161 ),
    inference(sat_conversion,[],[f1704]) ).

cnf(s399,plain,
    ( ~ spl0_32
    | spl0_155
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1724]) ).

cnf(s401,plain,
    ( ~ spl0_35
    | ~ spl0_96
    | ~ spl0_97
    | spl0_182 ),
    inference(sat_conversion,[],[f1739]) ).

cnf(s403,plain,
    ( ~ spl0_42
    | spl0_95
    | ~ spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f1760]) ).

cnf(s404,plain,
    ( ~ spl0_42
    | spl0_135
    | ~ spl0_136
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1761]) ).

cnf(s407,plain,
    ( ~ spl0_59
    | spl0_86
    | ~ spl0_88
    | spl0_165 ),
    inference(sat_conversion,[],[f1774]) ).

cnf(s412,plain,
    ( ~ spl0_60
    | spl0_119
    | spl0_120
    | spl0_164 ),
    inference(sat_conversion,[],[f1796]) ).

cnf(s413,plain,
    ( ~ spl0_60
    | spl0_125
    | spl0_126
    | spl0_179 ),
    inference(sat_conversion,[],[f1797]) ).

cnf(s418,plain,
    ( ~ spl0_61
    | spl0_104
    | spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f1824]) ).

cnf(s420,plain,
    ( ~ spl0_61
    | spl0_141
    | ~ spl0_142
    | spl0_168 ),
    inference(sat_conversion,[],[f1826]) ).

cnf(s421,plain,
    ( ~ spl0_61
    | spl0_143
    | ~ spl0_144
    | spl0_172 ),
    inference(sat_conversion,[],[f1827]) ).

cnf(s424,plain,
    ( ~ spl0_62
    | spl0_81
    | spl0_82
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1851]) ).

cnf(s428,plain,
    ( ~ spl0_62
    | spl0_123
    | ~ spl0_124
    | spl0_163 ),
    inference(sat_conversion,[],[f1856]) ).

cnf(s431,plain,
    ( ~ spl0_62
    | spl0_152
    | spl0_153
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1859]) ).

cnf(s434,plain,
    ( ~ spl0_63
    | spl0_80
    | spl0_81
    | spl0_82 ),
    inference(sat_conversion,[],[f1883]) ).

cnf(s449,plain,
    ( ~ spl0_35
    | spl0_140
    | ~ spl0_142
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1899]) ).

cnf(s475,plain,
    ( ~ spl0_52
    | spl0_105
    | ~ spl0_106
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1984]) ).

cnf(s478,plain,
    ( ~ spl0_52
    | ~ spl0_144
    | ~ spl0_145
    | spl0_172 ),
    inference(sat_conversion,[],[f1987]) ).

cnf(s481,plain,
    ( ~ spl0_55
    | spl0_158
    | spl0_159
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1999]) ).

cnf(s483,plain,
    ( ~ spl0_22
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f2001]) ).

cnf(s496,plain,
    ( ~ spl0_58
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2014]) ).

cnf(s507,plain,
    ( ~ spl0_63
    | spl0_122
    | spl0_123
    | spl0_163 ),
    inference(sat_conversion,[],[f2025]) ).

cnf(s523,plain,
    ( ~ spl0_23
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2041]) ).

cnf(s549,plain,
    ( ~ spl0_52
    | ~ spl0_74
    | ~ spl0_75
    | spl0_162 ),
    inference(sat_conversion,[],[f2069]) ).

cnf(s550,plain,
    ( ~ spl0_35
    | spl0_86
    | ~ spl0_87
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2073]) ).

cnf(s551,plain,
    ( ~ spl0_55
    | spl0_122
    | ~ spl0_124
    | spl0_163 ),
    inference(sat_conversion,[],[f2077]) ).

cnf(s554,plain,
    ( ~ spl0_22
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f2093]) ).

cnf(s555,plain,
    ( ~ spl0_22
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f2094]) ).

cnf(s556,plain,
    ( ~ spl0_22
    | ~ spl0_84
    | ~ spl0_85
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2095]) ).

cnf(s559,plain,
    ( ~ spl0_22
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2098]) ).

cnf(s564,plain,
    ( ~ spl0_55
    | spl0_149
    | ~ spl0_150
    | spl0_184 ),
    inference(sat_conversion,[],[f2109]) ).

cnf(s566,plain,
    ( ~ spl0_23
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2128]) ).

cnf(s568,plain,
    ( ~ spl0_23
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2130]) ).

cnf(s571,plain,
    ( ~ spl0_28
    | ~ spl0_68
    | ~ spl0_69
    | spl0_183 ),
    inference(sat_conversion,[],[f2142]) ).

cnf(s573,plain,
    ( ~ spl0_28
    | ~ spl0_132
    | ~ spl0_133
    | spl0_174 ),
    inference(sat_conversion,[],[f2144]) ).

cnf(s574,plain,
    ( ~ spl0_28
    | spl0_149
    | ~ spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f2146]) ).

cnf(s583,plain,
    ( ~ spl0_25
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f2166]) ).

cnf(s585,plain,
    ( ~ spl0_25
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f2169]) ).

cnf(s587,plain,
    ( ~ spl0_36
    | spl0_86
    | ~ spl0_88
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2181]) ).

cnf(s592,plain,
    ( ~ spl0_41
    | spl0_104
    | ~ spl0_106
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2205]) ).

cnf(s595,plain,
    ( ~ spl0_58
    | spl0_131
    | ~ spl0_133
    | spl0_174 ),
    inference(sat_conversion,[],[f2217]) ).

cnf(s596,plain,
    ( ~ spl0_58
    | spl0_149
    | ~ spl0_151
    | spl0_184 ),
    inference(sat_conversion,[],[f2218]) ).

cnf(s598,plain,
    ( ~ spl0_64
    | spl0_81
    | spl0_82
    | spl0_171 ),
    inference(sat_conversion,[],[f2240]) ).

cnf(s600,plain,
    ( ~ spl0_64
    | spl0_104
    | spl0_105
    | spl0_173 ),
    inference(sat_conversion,[],[f2242]) ).

cnf(s602,plain,
    ( ~ spl0_64
    | spl0_146
    | spl0_147
    | spl0_148 ),
    inference(sat_conversion,[],[f2244]) ).

cnf(s607,plain,
    ( ~ spl0_29
    | spl0_128
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2249]) ).

cnf(s609,plain,
    ( ~ spl0_29
    | spl0_122
    | ~ spl0_124
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2251]) ).

cnf(s612,plain,
    ( ~ spl0_29
    | ~ spl0_117
    | ~ spl0_118
    | spl0_170 ),
    inference(sat_conversion,[],[f2254]) ).

cnf(s618,plain,
    ( ~ spl0_57
    | spl0_77
    | spl0_79
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2260]) ).

cnf(s621,plain,
    ( ~ spl0_60
    | spl0_80
    | spl0_82
    | spl0_171 ),
    inference(sat_conversion,[],[f2263]) ).

cnf(s622,plain,
    ( ~ spl0_60
    | spl0_77
    | spl0_78
    | spl0_169 ),
    inference(sat_conversion,[],[f2264]) ).

cnf(s624,plain,
    ( ~ spl0_42
    | spl0_143
    | ~ spl0_144
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2266]) ).

cnf(s625,plain,
    ( ~ spl0_16
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(rat,[],[s555,s85,s86,s87,s51,s218,s595,s556,s559,s46,s262,s97,s98,s99,s369,s161,s162,s163]) ).

cnf(s626,plain,
    ( ~ spl0_10
    | spl0_6
    | spl0_4
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s399,s193,s194,s195,s66,s624,s421,s67,s507,s428,s609,s149,s150,s151,s18,s29,s523,s241,s379,s177,s178,s179,s46,s10,s555,s85,s86,s87,s369,s161,s162,s163,s14,s625,s2]) ).

cnf(s627,plain,
    ( ~ spl0_17
    | ~ spl0_47 ),
    inference(rat,[],[s337,s81,s82,s83]) ).

cnf(s629,plain,
    ( spl0_23
    | ~ spl0_25
    | spl0_62
    | spl0_4
    | ~ spl0_21 ),
    inference(rat,[],[s399,s193,s194,s195,s66,s18,s280]) ).

cnf(s630,plain,
    ( ~ spl0_13
    | ~ spl0_32 ),
    inference(rat,[],[s399,s193,s194,s195]) ).

cnf(s631,plain,
    ( spl0_22
    | spl0_6
    | spl0_4
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s283,s73,s74,s75,s7,s630,s62,s421,s568,s629,s41,s627,s349,s169,s170,s171,s47,s428,s551,s36,s609,s249,s149,s150,s151,s29,s595,s241,s299,s177,s178,s179,s46,s10,s369,s161,s162,s163,s14,s625,s2,s626]) ).

cnf(s633,plain,
    ( ~ spl0_8
    | ~ spl0_29 ),
    inference(rat,[],[s607,s157,s158,s159]) ).

cnf(s634,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_61 ),
    inference(rat,[],[s421,s568,s177,s178,s179]) ).

cnf(s635,plain,
    ( spl0_6
    | spl0_4
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s283,s73,s74,s75,s7,s630,s62,s634,s629,s41,s349,s169,s170,s171,s627,s48,s47,s36,s551,s431,s249,s609,s189,s190,s191,s149,s150,s151,s5,s3,s595,s559,s631,s626,s163,s162,s161,s633,s14,s625,s2]) ).

cnf(s636,plain,
    ( ~ spl0_174
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(rat,[],[s46,s299,s559,s369,s161,s162,s163]) ).

cnf(s637,plain,
    ( spl0_4
    | spl0_28
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s507,s609,s149,s150,s151,s29,s592,s600,s68,s67,s280,s283,s73,s74,s75,s52,s7,s630,s62,s595,s636,s418,s125,s126,s127,s635,s14,s625,s161,s163,s2]) ).

cnf(s640,plain,
    ( spl0_54
    | spl0_22
    | spl0_86
    | ~ spl0_87
    | ~ spl0_88
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s298,s550,s46,s45]) ).

cnf(s641,plain,
    ( ~ spl0_6
    | ~ spl0_61 ),
    inference(rat,[],[s418,s125,s126,s127]) ).

cnf(s642,plain,
    ( ~ spl0_10
    | ~ spl0_61
    | ~ spl0_133
    | spl0_131
    | spl0_86
    | ~ spl0_87
    | ~ spl0_88
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s587,s407,s24,s54,s162,s206,s634,s369,s380,s10,s640,s555,s85,s86,s87,s641]) ).

cnf(s643,plain,
    ( ~ spl0_61
    | ~ spl0_133
    | spl0_131
    | spl0_149
    | ~ spl0_150
    | ~ spl0_151
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s602,s181,s182,s183,s15,s633,s19,s634,s54,s407,s587,s24,s68,s585,s636,s596,s595,s51,s642,s641,s219,s101,s102,s103,s637,s574]) ).

cnf(s644,plain,
    ( ~ spl0_29
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118
    | spl0_5
    | ~ spl0_3 ),
    inference(rat,[],[s286,s365,s193,s194,s195,s66,s428,s609,s32,s149,s150,s151,s225,s4,s612,s633,s188,s574,s185,s186,s187]) ).

cnf(s645,plain,
    ( ~ spl0_11
    | ~ spl0_64 ),
    inference(rat,[],[s602,s181,s182,s183]) ).

cnf(s646,plain,
    ( ~ spl0_133
    | spl0_131
    | spl0_32
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s600,s475,s125,s126,s127,s24,s61,s587,s550,s407,s54,s523,s380,s640,s483,s86,s85,s87,s15,s645,s644,s141,s142,s143,s68,s44,s585,s636,s299,s596,s595,s62,s643,s103,s102,s101,s637,s574,s185,s186,s187,s188]) ).

cnf(s647,plain,
    ( spl0_58
    | spl0_5
    | spl0_32
    | spl0_86
    | ~ spl0_87
    | ~ spl0_88
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s587,s407,s24,s54,s206,s634,s380,s10,s640,s555,s85,s86,s87,s641,s51,s62,s219]) ).

cnf(s648,plain,
    ( ~ spl0_61
    | spl0_25
    | spl0_5
    | spl0_86
    | ~ spl0_87
    | ~ spl0_88
    | ~ spl0_3 ),
    inference(rat,[],[s555,s85,s86,s87,s15,s10,s644,s634,s141,s142,s143,s54,s44,s407,s298,s587,s24,s641,s645,s68,s188,s574,s185,s186,s187]) ).

cnf(s649,plain,
    ( ~ spl0_29
    | spl0_61
    | spl0_25
    | spl0_5
    | spl0_33
    | ~ spl0_21 ),
    inference(rat,[],[s293,s389,s81,s83,s41,s61,s478,s568,s67,s507,s609,s149,s150,s151,s178,s179,s4,s19,s633]) ).

cnf(s650,plain,
    ( spl0_5
    | spl0_32
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s600,s475,s125,s126,s127,s24,s61,s587,s550,s407,s54,s523,s380,s640,s555,s85,s86,s87,s15,s649,s648,s645,s68,s585,s596,s647,s219,s101,s102,s103,s637,s574,s185,s186,s187,s188]) ).

cnf(s651,plain,
    ( spl0_32
    | spl0_2
    | ~ spl0_3 ),
    inference(rat,[],[s646,s161,s163,s650]) ).

cnf(s652,plain,
    ( spl0_58
    | spl0_13
    | spl0_28
    | ~ spl0_21
    | spl0_2 ),
    inference(rat,[],[s403,s113,s114,s115,s6,s645,s68,s206,s380,s640,s555,s85,s86,s87,s52,s51,s219,s101,s102,s103,s637]) ).

cnf(s654,plain,
    ( spl0_5
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s600,s475,s125,s126,s127,s24,s61,s587,s550,s407,s54,s523,s380,s640,s555,s85,s86,s87,s15,s649,s648,s219,s101,s102,s103,s637,s645,s68,s585,s596,s652,s630,s651,s188,s574,s185,s186,s187]) ).

cnf(s655,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s595,s636,s161,s163,s654,s652,s630,s651,s574,s185,s186,s187,s188,s1]) ).

cnf(s656,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | spl0_58
    | ~ spl0_2 ),
    inference(rat,[],[s412,s63,s208,s478,s62,s568,s634,s178,s179,s148,s147,s146,s145]) ).

cnf(s657,plain,
    ( ~ spl0_25
    | spl0_58
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s555,s85,s86,s87,s51,s219,s101,s102,s103,s10,s2,s641,s625,s62,s14,s208,s633,s412,s48,s59,s656,s564,s280,s585,s32,s574,s185,s186,s187,s148,s222,s145,s146,s147]) ).

cnf(s658,plain,
    ( ~ spl0_29
    | spl0_6
    | spl0_20
    | ~ spl0_21 ),
    inference(rat,[],[s551,s609,s149,s151,s3,s48,s633]) ).

cnf(s659,plain,
    ( spl0_58
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s555,s85,s86,s87,s15,s658,s10,s641,s62,s208,s412,s59,s656,s645,s25,s68,s657,s148,s222,s145,s146,s147,s574,s185,s186,s187]) ).

cnf(s660,plain,
    ( ~ spl0_10
    | ~ spl0_23
    | ~ spl0_52 ),
    inference(rat,[],[s549,s523,s85,s86]) ).

cnf(s661,plain,
    ( ~ spl0_61
    | ~ spl0_29
    | ~ spl0_23
    | ~ spl0_21 ),
    inference(rat,[],[s658,s634,s641]) ).

cnf(s662,plain,
    ( ~ spl0_5
    | spl0_131
    | ~ spl0_58
    | ~ spl0_21 ),
    inference(rat,[],[s595,s636,s163]) ).

cnf(s663,plain,
    ( spl0_5
    | spl0_61
    | ~ spl0_29
    | spl0_25
    | ~ spl0_21 ),
    inference(rat,[],[s219,s101,s102,s103,s649,s2]) ).

cnf(s664,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s662,s161,s663,s661,s15,s660,s645,s25,s42,s68,s585,s596,s659,s574,s185,s186,s187,s148,s222,s145,s146,s147]) ).

cnf(s665,plain,
    ( ~ spl0_23
    | ~ spl0_29
    | spl0_58
    | ~ spl0_2 ),
    inference(rat,[],[s208,s412,s62,s59,s661,s656,s148,s147,s146,s145]) ).

cnf(s666,plain,
    ( ~ spl0_19
    | ~ spl0_25 ),
    inference(rat,[],[s583,s77,s78,s79]) ).

cnf(s667,plain,
    ( spl0_23
    | spl0_58
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(rat,[],[s285,s336,s193,s194,s195,s32,s52,s27,s280,s148,s222,s145,s146,s147,s666]) ).

cnf(s668,plain,
    ( spl0_58
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(rat,[],[s555,s85,s86,s87,s51,s10,s219,s641,s101,s102,s103,s62,s2,s208,s625,s412,s14,s59,s665,s656,s667,s148,s147,s146,s145]) ).

cnf(s669,plain,
    ( ~ spl0_5
    | ~ spl0_58
    | ~ spl0_21 ),
    inference(rat,[],[s662,s161]) ).

cnf(s672,plain,
    ( ~ spl0_56
    | ~ spl0_58 ),
    inference(rat,[],[s496,s153,s154,s155]) ).

cnf(s673,plain,
    ( ~ spl0_37
    | ~ spl0_42
    | ~ spl0_57 ),
    inference(rat,[],[s382,s404,s166,s167]) ).

cnf(s674,plain,
    ( ~ spl0_42
    | ~ spl0_57
    | spl0_53
    | ~ spl0_29
    | ~ spl0_21 ),
    inference(rat,[],[s612,s225,s141,s142,s143,s43,s673]) ).

cnf(s675,plain,
    ( ~ spl0_29
    | ~ spl0_25
    | ~ spl0_2 ),
    inference(rat,[],[s401,s566,s114,s115,s31,s674,s50,s298,s550,s70,s645,s64,s428,s551,s609,s149,s150,s151,s4,s633,s664,s208,s27,s311,s306,s147,s146,s145,s666,s103,s102,s101,s2,s669,s148,s672,s668]) ).

cnf(s676,plain,
    ( ~ spl0_64
    | ~ spl0_18
    | ~ spl0_2 ),
    inference(rat,[],[s424,s64,s598,s645,s148,s664,s95,s94]) ).

cnf(s677,plain,
    ( ~ spl0_25
    | ~ spl0_2 ),
    inference(rat,[],[s449,s420,s173,s174,s175,s20,s627,s36,s247,s641,s621,s70,s71,s72,s676,s675,s219,s101,s102,s103,s2,s669,s311,s306,s668,s434,s93,s94,s95,s9,s666,s148,s147,s146,s145,s664]) ).

cnf(s678,plain,
    ( ~ spl0_29
    | spl0_5
    | ~ spl0_2 ),
    inference(rat,[],[s663,s661,s25,s677,s222,s145,s146,s147,s148]) ).

cnf(s679,plain,
    ( ~ spl0_45
    | ~ spl0_52 ),
    inference(rat,[],[s349,s169,s170,s171]) ).

cnf(s680,plain,
    ( ~ spl0_27
    | ~ spl0_55 ),
    inference(rat,[],[s481,s197,s198,s199]) ).

cnf(s681,plain,
    ( ~ spl0_29
    | ~ spl0_2 ),
    inference(rat,[],[s669,s678,s665,s25,s677,s222,s145,s146,s147,s148]) ).

cnf(s682,plain,
    ~ spl0_2,
    inference(rat,[],[s645,s69,s15,s681,s680,s47,s679,s660,s25,s42,s677,s222,s145,s146,s147,s148]) ).

cnf(s683,plain,
    spl0_1,
    inference(rat,[],[s655,s682]) ).

cnf(s684,plain,
    spl0_21,
    inference(rat,[],[s92,s683]) ).

cnf(s685,plain,
    ~ spl0_79,
    inference(rat,[],[s91,s683]) ).

cnf(s686,plain,
    ~ spl0_78,
    inference(rat,[],[s90,s683]) ).

cnf(s687,plain,
    ~ spl0_77,
    inference(rat,[],[s89,s683]) ).

cnf(s688,plain,
    ( ~ spl0_58
    | ~ spl0_29 ),
    inference(rat,[],[s72,s622,s645,s618,s64,s50,s507,s428,s551,s609,s149,s150,s151,s4,s654,s672,s669,s633,s684,s686,s687,s685,s682]) ).

cnf(s689,plain,
    ( ~ spl0_4
    | ~ spl0_25
    | spl0_58 ),
    inference(rat,[],[s640,s380,s483,s206,s85,s86,s87,s51,s219,s101,s102,s103,s684,s682]) ).

cnf(s690,plain,
    spl0_4,
    inference(rat,[],[s573,s636,s162,s163,s637,s2,s684,s682]) ).

cnf(s691,plain,
    spl0_88,
    inference(rat,[],[s103,s690]) ).

cnf(s692,plain,
    spl0_87,
    inference(rat,[],[s102,s690]) ).

cnf(s693,plain,
    ~ spl0_86,
    inference(rat,[],[s101,s690]) ).

cnf(s694,plain,
    ~ spl0_33,
    inference(rat,[],[s219,s691,s692,s693]) ).

cnf(s695,plain,
    ~ spl0_29,
    inference(rat,[],[s67,s641,s507,s24,s609,s587,s523,s149,s150,s151,s407,s380,s29,s53,s640,s241,s483,s177,s178,s179,s85,s86,s87,s19,s51,s689,s688,s633,s684,s691,s693,s682,s692,s694,s690]) ).

cnf(s697,plain,
    spl0_16,
    inference(rat,[],[s14,s684,s695]) ).

cnf(s704,plain,
    ~ spl0_5,
    inference(rat,[],[s625,s684,s697]) ).

cnf(s707,plain,
    ~ spl0_3,
    inference(rat,[],[s654,s682,s704]) ).

cnf(s708,plain,
    ( ~ spl0_64
    | ~ spl0_18 ),
    inference(rat,[],[s424,s64,s598,s645,s95,s94,s707,s684]) ).

cnf(s709,plain,
    ( ~ spl0_18
    | spl0_56 ),
    inference(rat,[],[s618,s50,s622,s680,s72,s69,s708,s434,s93,s94,s95,s685,s687,s684,s686,s695]) ).

cnf(s710,plain,
    ( spl0_64
    | ~ spl0_23
    | ~ spl0_19 ),
    inference(rat,[],[s554,s10,s571,s634,s641,s68,s71,s78,s77,s666,s684,s695]) ).

cnf(s711,plain,
    ( ~ spl0_23
    | ~ spl0_19 ),
    inference(rat,[],[s380,s640,s523,s483,s85,s86,s87,s15,s645,s710,s695,s682,s684,s691,s692,s693]) ).

cnf(s712,plain,
    ~ spl0_19,
    inference(rat,[],[s475,s600,s61,s71,s641,s125,s126,s127,s24,s587,s550,s407,s54,s711,s666,s684,s695,s691,s693,s692,s704]) ).

cnf(s713,plain,
    spl0_18,
    inference(rat,[],[s9,s707,s712]) ).

cnf(s714,plain,
    ~ spl0_82,
    inference(rat,[],[s95,s713]) ).

cnf(s715,plain,
    ~ spl0_81,
    inference(rat,[],[s94,s713]) ).

cnf(s716,plain,
    ~ spl0_80,
    inference(rat,[],[s93,s713]) ).

cnf(s717,plain,
    ~ spl0_64,
    inference(rat,[],[s708,s713]) ).

cnf(s718,plain,
    spl0_56,
    inference(rat,[],[s709,s713]) ).

cnf(s719,plain,
    ~ spl0_63,
    inference(rat,[],[s434,s714,s715,s716]) ).

cnf(s722,plain,
    spl0_127,
    inference(rat,[],[s155,s718]) ).

cnf(s723,plain,
    ~ spl0_126,
    inference(rat,[],[s154,s718]) ).

cnf(s724,plain,
    ~ spl0_125,
    inference(rat,[],[s153,s718]) ).

cnf(s725,plain,
    ~ spl0_58,
    inference(rat,[],[s672,s718]) ).

cnf(s726,plain,
    spl0_60,
    inference(rat,[],[s72,s684,s717,s719]) ).

cnf(s732,plain,
    spl0_179,
    inference(rat,[],[s413,s723,s726,s724]) ).

cnf(s733,plain,
    ~ spl0_28,
    inference(rat,[],[s334,s732,s722,s724]) ).

cnf(s734,plain,
    ~ spl0_25,
    inference(rat,[],[s689,s690,s725]) ).

cnf(s742,plain,
    $false,
    inference(rat,[],[s68,s717,s684,s734,s733]) ).

fof(f2267,plain,
    $false,
    inference(avatar_sat_refutation,[],[s742]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYN471+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.02  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Mon Sep 28 16:09:49 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12  Running first-order theorem proving
% 0.08/0.12  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.67/0.61  % (3488811)Detected formulas, will run a generic FOF schedule.
% 1.67/0.61  % (3488816)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1305306613:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.67/0.61  % (3488819)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=120892837:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.67/0.61  % (3488821)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=385504410:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.67/0.61  % (3488820)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=485783270:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.67/0.61  % (3488818)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3680398866:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.67/0.61  % (3488822)dis-21_1_sil=8000:lcm=predicate:random_seed=129172977:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.67/0.61  % (3488817)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3859682002:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.67/0.61  % (3488822)First to succeed.
% 1.67/0.61  % (3488822)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3488811"
% 1.67/0.61  % (3488820)Instruction limit reached! 
% 1.67/0.61  % (3488820)------------------------------
% 1.67/0.61  % (3488820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.67/0.61  % (3488820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.61  % (3488820)CaDiCaL version: 2.1.3
% 1.67/0.61  % (3488820)Termination reason: Instruction limit
% 1.67/0.61  % (3488820)Termination phase: Saturation
% 1.67/0.61  % (3488820)Time elapsed: 0.031 s
% 1.67/0.61  % (3488820)Peak memory usage: 87 MB
% 1.67/0.61  % (3488820)Instructions burned: 121 (million)
% 1.67/0.61  % (3488821)Also succeeded, but the first one will report.
% 1.67/0.61  % (3488819)Also succeeded, but the first one will report.
% 1.67/0.61  % (3488830)lrs+10_1_sil=8000:sp=occurrence:random_seed=2860328223:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.67/0.61  % (3488830)Also succeeded, but the first one will report.
% 1.67/0.61  % (3488822)Refutation found. Thanks to Tanya!
% 1.67/0.61  % SZS status Theorem for theBenchmark
% 1.67/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 2.32/0.71  % (3488822)------------------------------
% 2.32/0.71  % (3488822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/0.71  % (3488822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.71  % (3488822)CaDiCaL version: 2.1.3
% 2.32/0.71  % (3488822)Termination reason: Refutation
% 2.32/0.71  % (3488822)Time elapsed: 0.021 s
% 2.32/0.71  % (3488822)Peak memory usage: 90 MB
% 2.32/0.71  % (3488822)Instructions burned: 62 (million)
% 2.32/0.71  % (3488822)------------------------------
% 2.32/0.71  % (3488822)------------------------------
% 2.32/0.71  % (3488811)Success in time 0.298 s
% 2.32/0.71  % Vampire exiting
%------------------------------------------------------------------------------