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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN506+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:16:17 PM UTC 2026

% Result   : Theorem 0.10s 0.25s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :  124
% Syntax   : Number of formulae    :  805 (  33 unt; 123 def)
%            Number of atoms       : 6403 (   0 equ)
%            Maximal formula atoms :  759 (   7 avg)
%            Number of connectives : 8492 (2894   ~;4122   |; 975   &)
%                                         ( 123 <=>; 378  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  116 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  158 ( 157 usr; 154 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  830 (   0 sgn 830   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a322)
          & c3_1(a322)
          & ~ c0_1(a322) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c1_1(a323)
          & ~ c2_1(a323)
          & ~ c3_1(a323) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c0_1(a324)
          & ~ c1_1(a324)
          & ~ c3_1(a324) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a325)
          & c1_1(a325)
          & ~ c2_1(a325) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a326)
          & c2_1(a326)
          & ~ c1_1(a326) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a327)
          & c1_1(a327)
          & ~ c3_1(a327) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a329)
          & ~ c1_1(a329)
          & ~ c3_1(a329) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a330)
          & ~ c0_1(a330)
          & ~ c1_1(a330) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c0_1(a332)
          & ~ c2_1(a332)
          & ~ c3_1(a332) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a334)
          & ~ c0_1(a334)
          & ~ c1_1(a334) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a337)
          & ~ c2_1(a337)
          & ~ c3_1(a337) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c0_1(a338)
          & ~ c1_1(a338)
          & ~ c2_1(a338) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a345)
          & c3_1(a345)
          & ~ c2_1(a345) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a346)
          & c2_1(a346)
          & ~ c3_1(a346) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a347)
          & c3_1(a347)
          & ~ c1_1(a347) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a348)
          & ~ c1_1(a348)
          & ~ c3_1(a348) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a349)
          & c3_1(a349)
          & ~ c2_1(a349) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a353)
          & c2_1(a353)
          & ~ c0_1(a353) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a354)
          & ~ c2_1(a354)
          & ~ c3_1(a354) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a355)
          & c2_1(a355)
          & ~ c3_1(a355) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a358)
          & ~ c0_1(a358)
          & ~ c3_1(a358) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a359)
          & ~ c0_1(a359)
          & ~ c2_1(a359) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c3_1(a367)
          & ~ c1_1(a367)
          & ~ c2_1(a367) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a377)
          & c3_1(a377)
          & ~ c0_1(a377) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a401)
          & ~ c0_1(a401)
          & ~ c2_1(a401) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a419)
          & ~ c1_1(a419)
          & ~ c2_1(a419) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a333)
          & c1_1(a333)
          & c3_1(a333) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a341)
          & c2_1(a341)
          & c3_1(a341) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a343)
          & c1_1(a343)
          & c2_1(a343) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | ~ c1_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | ~ c3_1(X3) ) )
        | hskp1 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c3_1(X5)
              | ~ c2_1(X5) ) )
        | hskp2 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | hskp3
        | hskp4 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | hskp5
        | hskp1 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c0_1(X9)
              | ~ c1_1(X9)
              | ~ c2_1(X9) ) )
        | hskp6 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c0_1(X11)
              | ~ c2_1(X11)
              | ~ c3_1(X11) ) )
        | hskp7 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | ~ c1_1(X13)
              | ~ c2_1(X13) ) )
        | hskp5 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | ~ c0_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c1_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)
              | ~ c2_1(X18)
              | ~ c3_1(X18) ) )
        | hskp8 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c2_1(X20)
              | ~ c0_1(X20) ) )
        | hskp26 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c2_1(X22)
              | ~ c0_1(X22) ) )
        | hskp9 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c0_1(X24)
              | ~ c1_1(X24)
              | ~ c2_1(X24) ) )
        | hskp7 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | hskp5
        | hskp10 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c3_1(X27)
              | ~ c1_1(X27) ) )
        | hskp11 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c1_1(X29)
              | ~ c0_1(X29)
              | ~ c2_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c3_1(X30)
              | ~ c0_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | ~ c2_1(X32)
              | ~ c3_1(X32) ) )
        | hskp5 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | ~ c0_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | ~ c2_1(X35)
              | ~ c3_1(X35) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | ~ c1_1(X37)
              | ~ c2_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | ~ c1_1(X38)
              | ~ c2_1(X38) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c3_1(X40)
              | ~ c1_1(X40)
              | ~ c2_1(X40) ) )
        | hskp4 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c3_1(X42)
              | ~ c1_1(X42) ) )
        | hskp27 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | hskp7 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c2_1(X46)
              | ~ c0_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | ~ c2_1(X47)
              | ~ c3_1(X47) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c2_1(X48)
              | ~ c3_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c2_1(X49)
              | ~ c0_1(X49)
              | ~ c3_1(X49) ) )
        | hskp28 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c1_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | ~ c0_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | c3_1(X52)
              | ~ c1_1(X52) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c0_1(X54)
              | ~ c3_1(X54) ) )
        | hskp26 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c3_1(X55)
              | ~ c2_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | ~ c0_1(X56)
              | ~ c3_1(X56) ) )
        | hskp12 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | c3_1(X57)
              | ~ c2_1(X57) ) )
        | hskp13
        | hskp14 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | ~ c0_1(X59) ) )
        | hskp15 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | hskp16
        | hskp9 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c2_1(X62)
              | ~ c0_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c2_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c0_1(X65)
              | ~ c2_1(X65) ) )
        | hskp12 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c0_1(X67)
              | ~ c2_1(X67) ) )
        | hskp4 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) )
        | hskp17
        | hskp18 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | ~ c2_1(X69)
              | ~ c3_1(X69) ) )
        | hskp19
        | hskp11 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c3_1(X71) ) )
        | hskp12 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c0_1(X73)
              | ~ c3_1(X73) ) )
        | hskp20 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c0_1(X75)
              | ~ c1_1(X75) ) )
        | hskp21 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | c3_1(X76) ) )
        | hskp5
        | hskp14 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | c3_1(X77) ) )
        | hskp15
        | hskp16 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c0_1(X78) ) )
        | hskp19
        | hskp0 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c2_1(X79)
              | ~ c0_1(X79) ) )
        | hskp7
        | hskp22 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) )
        | hskp2 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | ~ c1_1(X84)
              | ~ c2_1(X84) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | hskp22 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c3_1(X87)
              | ~ c2_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c2_1(X88) ) )
        | hskp5 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c3_1(X89)
              | ~ c2_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) )
        | hskp19 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c0_1(X91)
              | ~ c2_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( c3_1(X92)
              | ~ c0_1(X92)
              | ~ c1_1(X92) ) )
        | hskp19 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | ~ c0_1(X93)
              | ~ c2_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | ~ c1_1(X94)
              | ~ c3_1(X94) ) )
        | hskp6 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c0_1(X95)
              | ~ c2_1(X95) ) )
        | hskp26
        | hskp27 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c1_1(X97)
              | ~ c3_1(X97) ) )
        | hskp14 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp23
        | hskp22 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | hskp17 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | ~ c2_1(X101)
              | ~ c3_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp22 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp15 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | c3_1(X104)
              | ~ c0_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | ~ c0_1(X105)
              | ~ c3_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | ~ c2_1(X106)
              | ~ c3_1(X106) ) ) )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | c3_1(X107)
              | ~ c0_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c1_1(X108)
              | ~ c2_1(X108) ) )
        | hskp10 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | c3_1(X109)
              | ~ c0_1(X109) ) )
        | hskp28
        | hskp27 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | c3_1(X110)
              | ~ c0_1(X110) ) )
        | hskp3
        | hskp8 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | ~ c0_1(X111)
              | ~ c1_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( c3_1(X112)
              | ~ c0_1(X112)
              | ~ c1_1(X112) ) )
        | hskp8 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | ~ c0_1(X113)
              | ~ c1_1(X113) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c2_1(X114)
              | ~ c3_1(X114) ) )
        | hskp20 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c2_1(X115)
              | ~ c0_1(X115)
              | ~ c1_1(X115) ) )
        | hskp13
        | hskp12 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c2_1(X116)
              | ~ c1_1(X116)
              | ~ c3_1(X116) ) )
        | hskp28 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c3_1(X117)
              | ~ c0_1(X117)
              | ~ c2_1(X117) ) )
        | hskp3
        | hskp10 )
      & ( ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c0_1(X118)
              | ~ c2_1(X118) ) )
        | hskp4
        | hskp16 )
      & ( ! [X119] :
            ( ndr1_0
           => ( c3_1(X119)
              | ~ c0_1(X119)
              | ~ c2_1(X119) ) )
        | hskp2
        | hskp1 )
      & ( ! [X120] :
            ( ndr1_0
           => ( c3_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | hskp28
        | hskp7 )
      & ( ! [X121] :
            ( ndr1_0
           => ( ~ c0_1(X121)
              | ~ c1_1(X121)
              | ~ c2_1(X121) ) )
        | hskp17
        | hskp24 )
      & ( ! [X122] :
            ( ndr1_0
           => ( ~ c0_1(X122)
              | ~ c1_1(X122)
              | ~ c3_1(X122) ) )
        | ! [X123] :
            ( ndr1_0
           => ( ~ c1_1(X123)
              | ~ c2_1(X123)
              | ~ c3_1(X123) ) )
        | hskp10 )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c0_1(X124)
              | ~ c2_1(X124)
              | ~ c3_1(X124) ) )
        | hskp5
        | hskp16 )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c1_1(X125)
              | ~ c2_1(X125)
              | ~ c3_1(X125) ) )
        | hskp3
        | hskp10 )
      & ( hskp26
        | hskp24
        | hskp2 )
      & ( hskp3
        | hskp5
        | hskp4 )
      & ( hskp4
        | hskp13
        | hskp8 )
      & ( hskp12
        | hskp17
        | hskp14 )
      & ( hskp25
        | hskp16 )
      & ( hskp25
        | hskp11
        | hskp1 )
      & ( hskp17
        | hskp24
        | hskp8 )
      & ( hskp17
        | hskp18
        | hskp11 )
      & ( hskp24
        | hskp7 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a322)
            & c3_1(a322)
            & ~ c0_1(a322) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c1_1(a323)
            & ~ c2_1(a323)
            & ~ c3_1(a323) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a324)
            & ~ c1_1(a324)
            & ~ c3_1(a324) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a325)
            & c1_1(a325)
            & ~ c2_1(a325) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a326)
            & c2_1(a326)
            & ~ c1_1(a326) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a327)
            & c1_1(a327)
            & ~ c3_1(a327) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a329)
            & ~ c1_1(a329)
            & ~ c3_1(a329) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a330)
            & ~ c0_1(a330)
            & ~ c1_1(a330) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c0_1(a332)
            & ~ c2_1(a332)
            & ~ c3_1(a332) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a334)
            & ~ c0_1(a334)
            & ~ c1_1(a334) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a337)
            & ~ c2_1(a337)
            & ~ c3_1(a337) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c0_1(a338)
            & ~ c1_1(a338)
            & ~ c2_1(a338) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a345)
            & c3_1(a345)
            & ~ c2_1(a345) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a346)
            & c2_1(a346)
            & ~ c3_1(a346) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a347)
            & c3_1(a347)
            & ~ c1_1(a347) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a348)
            & ~ c1_1(a348)
            & ~ c3_1(a348) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a349)
            & c3_1(a349)
            & ~ c2_1(a349) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a353)
            & c2_1(a353)
            & ~ c0_1(a353) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a354)
            & ~ c2_1(a354)
            & ~ c3_1(a354) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a355)
            & c2_1(a355)
            & ~ c3_1(a355) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a358)
            & ~ c0_1(a358)
            & ~ c3_1(a358) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a359)
            & ~ c0_1(a359)
            & ~ c2_1(a359) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c3_1(a367)
            & ~ c1_1(a367)
            & ~ c2_1(a367) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a377)
            & c3_1(a377)
            & ~ c0_1(a377) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a401)
            & ~ c0_1(a401)
            & ~ c2_1(a401) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a419)
            & ~ c1_1(a419)
            & ~ c2_1(a419) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a333)
            & c1_1(a333)
            & c3_1(a333) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a341)
            & c2_1(a341)
            & c3_1(a341) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a343)
            & c1_1(a343)
            & c2_1(a343) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | ~ c1_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | ~ c3_1(X3) ) )
          | hskp1 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c3_1(X5)
                | ~ c2_1(X5) ) )
          | hskp2 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | hskp3
          | hskp4 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | hskp5
          | hskp1 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | ~ c1_1(X9)
                | ~ c2_1(X9) ) )
          | hskp6 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | ~ c2_1(X11)
                | ~ c3_1(X11) ) )
          | hskp7 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | ~ c1_1(X13)
                | ~ c2_1(X13) ) )
          | hskp5 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | ~ c0_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c1_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)
                | ~ c2_1(X18)
                | ~ c3_1(X18) ) )
          | hskp8 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c2_1(X20)
                | ~ c0_1(X20) ) )
          | hskp26 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c2_1(X22)
                | ~ c0_1(X22) ) )
          | hskp9 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | ~ c1_1(X24)
                | ~ c2_1(X24) ) )
          | hskp7 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | hskp5
          | hskp10 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c3_1(X27)
                | ~ c1_1(X27) ) )
          | hskp11 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c1_1(X29)
                | ~ c0_1(X29)
                | ~ c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c3_1(X30)
                | ~ c0_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | ~ c2_1(X32)
                | ~ c3_1(X32) ) )
          | hskp5 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c0_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c2_1(X35)
                | ~ c3_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c1_1(X37)
                | ~ c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | ~ c1_1(X40)
                | ~ c2_1(X40) ) )
          | hskp4 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c1_1(X42) ) )
          | hskp27 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | hskp7 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | ~ c0_1(X49)
                | ~ c3_1(X49) ) )
          | hskp28 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | ~ c0_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | c3_1(X52)
                | ~ c1_1(X52) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c0_1(X54)
                | ~ c3_1(X54) ) )
          | hskp26 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | ~ c0_1(X56)
                | ~ c3_1(X56) ) )
          | hskp12 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c3_1(X57)
                | ~ c2_1(X57) ) )
          | hskp13
          | hskp14 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | ~ c0_1(X59) ) )
          | hskp15 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | hskp16
          | hskp9 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c0_1(X65)
                | ~ c2_1(X65) ) )
          | hskp12 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c0_1(X67)
                | ~ c2_1(X67) ) )
          | hskp4 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) )
          | hskp17
          | hskp18 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp19
          | hskp11 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c3_1(X71) ) )
          | hskp12 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c0_1(X73)
                | ~ c3_1(X73) ) )
          | hskp20 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c0_1(X75)
                | ~ c1_1(X75) ) )
          | hskp21 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | c3_1(X76) ) )
          | hskp5
          | hskp14 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | c3_1(X77) ) )
          | hskp15
          | hskp16 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c0_1(X78) ) )
          | hskp19
          | hskp0 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c0_1(X79) ) )
          | hskp7
          | hskp22 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) )
          | hskp2 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c1_1(X84)
                | ~ c2_1(X84) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | hskp22 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c3_1(X87)
                | ~ c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | hskp5 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c3_1(X89)
                | ~ c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | hskp19 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c0_1(X92)
                | ~ c1_1(X92) ) )
          | hskp19 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c0_1(X93)
                | ~ c2_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c1_1(X94)
                | ~ c3_1(X94) ) )
          | hskp6 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c0_1(X95)
                | ~ c2_1(X95) ) )
          | hskp26
          | hskp27 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c1_1(X97)
                | ~ c3_1(X97) ) )
          | hskp14 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp23
          | hskp22 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp17 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c2_1(X101)
                | ~ c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp22 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp15 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c3_1(X104)
                | ~ c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | ~ c0_1(X105)
                | ~ c3_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c2_1(X106)
                | ~ c3_1(X106) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c3_1(X107)
                | ~ c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c1_1(X108)
                | ~ c2_1(X108) ) )
          | hskp10 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c3_1(X109)
                | ~ c0_1(X109) ) )
          | hskp28
          | hskp27 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c3_1(X110)
                | ~ c0_1(X110) ) )
          | hskp3
          | hskp8 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c0_1(X111)
                | ~ c1_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | ~ c0_1(X112)
                | ~ c1_1(X112) ) )
          | hskp8 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c0_1(X113)
                | ~ c1_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c2_1(X114)
                | ~ c3_1(X114) ) )
          | hskp20 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | ~ c0_1(X115)
                | ~ c1_1(X115) ) )
          | hskp13
          | hskp12 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c1_1(X116)
                | ~ c3_1(X116) ) )
          | hskp28 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | ~ c0_1(X117)
                | ~ c2_1(X117) ) )
          | hskp3
          | hskp10 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c0_1(X118)
                | ~ c2_1(X118) ) )
          | hskp4
          | hskp16 )
        & ( ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | ~ c0_1(X119)
                | ~ c2_1(X119) ) )
          | hskp2
          | hskp1 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp28
          | hskp7 )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c0_1(X121)
                | ~ c1_1(X121)
                | ~ c2_1(X121) ) )
          | hskp17
          | hskp24 )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c1_1(X122)
                | ~ c3_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( ~ c1_1(X123)
                | ~ c2_1(X123)
                | ~ c3_1(X123) ) )
          | hskp10 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c0_1(X124)
                | ~ c2_1(X124)
                | ~ c3_1(X124) ) )
          | hskp5
          | hskp16 )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c1_1(X125)
                | ~ c2_1(X125)
                | ~ c3_1(X125) ) )
          | hskp3
          | hskp10 )
        & ( hskp26
          | hskp24
          | hskp2 )
        & ( hskp3
          | hskp5
          | hskp4 )
        & ( hskp4
          | hskp13
          | hskp8 )
        & ( hskp12
          | hskp17
          | hskp14 )
        & ( hskp25
          | hskp16 )
        & ( hskp25
          | hskp11
          | hskp1 )
        & ( hskp17
          | hskp24
          | hskp8 )
        & ( hskp17
          | hskp18
          | hskp11 )
        & ( hskp24
          | hskp7 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a322)
        & c3_1(a322)
        & ~ c0_1(a322) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c1_1(a323)
        & ~ c2_1(a323)
        & ~ c3_1(a323) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a324)
        & ~ c1_1(a324)
        & ~ c3_1(a324) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a325)
        & c1_1(a325)
        & ~ c2_1(a325) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a326)
        & c2_1(a326)
        & ~ c1_1(a326) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a327)
        & c1_1(a327)
        & ~ c3_1(a327) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a329)
        & ~ c1_1(a329)
        & ~ c3_1(a329) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a330)
        & ~ c0_1(a330)
        & ~ c1_1(a330) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a332)
        & ~ c2_1(a332)
        & ~ c3_1(a332) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a334)
        & ~ c0_1(a334)
        & ~ c1_1(a334) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a337)
        & ~ c2_1(a337)
        & ~ c3_1(a337) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a338)
        & ~ c1_1(a338)
        & ~ c2_1(a338) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a345)
        & c3_1(a345)
        & ~ c2_1(a345) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a346)
        & c2_1(a346)
        & ~ c3_1(a346) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a347)
        & c3_1(a347)
        & ~ c1_1(a347) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a348)
        & ~ c1_1(a348)
        & ~ c3_1(a348) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a349)
        & c3_1(a349)
        & ~ c2_1(a349) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a353)
        & c2_1(a353)
        & ~ c0_1(a353) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a354)
        & ~ c2_1(a354)
        & ~ c3_1(a354) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a355)
        & c2_1(a355)
        & ~ c3_1(a355) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a358)
        & ~ c0_1(a358)
        & ~ c3_1(a358) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a359)
        & ~ c0_1(a359)
        & ~ c2_1(a359) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a367)
        & ~ c1_1(a367)
        & ~ c2_1(a367) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a377)
        & c3_1(a377)
        & ~ c0_1(a377) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a401)
        & ~ c0_1(a401)
        & ~ c2_1(a401) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a419)
        & ~ c1_1(a419)
        & ~ c2_1(a419) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a333)
        & c1_1(a333)
        & c3_1(a333) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a341)
        & c2_1(a341)
        & c3_1(a341) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a343)
        & c1_1(a343)
        & c2_1(a343) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | ~ c1_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c2_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c2_1(X3)
            | ~ c3_1(X3) ) )
      | hskp1 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c2_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | c3_1(X5)
            | ~ c2_1(X5) ) )
      | hskp2 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | hskp3
      | hskp4 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c2_1(X7) ) )
      | hskp5
      | hskp1 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c0_1(X9)
            | ~ c1_1(X9)
            | ~ c2_1(X9) ) )
      | hskp6 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c0_1(X11)
            | ~ c2_1(X11)
            | ~ c3_1(X11) ) )
      | hskp7 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | ~ c1_1(X13)
            | ~ c2_1(X13) ) )
      | hskp5 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | ~ c0_1(X15)
            | ~ c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c1_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)
            | ~ c2_1(X18)
            | ~ c3_1(X18) ) )
      | hskp8 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | ~ c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c2_1(X20)
            | ~ c0_1(X20) ) )
      | hskp26 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | c2_1(X22)
            | ~ c0_1(X22) ) )
      | hskp9 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | ~ c1_1(X24)
            | ~ c2_1(X24) ) )
      | hskp7 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | hskp5
      | hskp10 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | ~ c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c3_1(X27)
            | ~ c1_1(X27) ) )
      | hskp11 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c1_1(X29)
            | ~ c0_1(X29)
            | ~ c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | c3_1(X30)
            | ~ c0_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | ~ c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c1_1(X32)
            | ~ c2_1(X32)
            | ~ c3_1(X32) ) )
      | hskp5 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | ~ c0_1(X34)
            | ~ c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | ~ c2_1(X35)
            | ~ c3_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | ~ c1_1(X37)
            | ~ c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | ~ c1_1(X38)
            | ~ c2_1(X38) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | ~ c1_1(X40)
            | ~ c2_1(X40) ) )
      | hskp4 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c3_1(X42)
            | ~ c1_1(X42) ) )
      | hskp27 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | ~ c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c1_1(X44) ) )
      | hskp7 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c2_1(X46)
            | ~ c0_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | ~ c2_1(X47)
            | ~ c3_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c2_1(X48)
            | ~ c3_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c2_1(X49)
            | ~ c0_1(X49)
            | ~ c3_1(X49) ) )
      | hskp28 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | c3_1(X50)
            | ~ c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | ~ c0_1(X51)
            | ~ c2_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | c3_1(X52)
            | ~ c1_1(X52) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c3_1(X53)
            | ~ c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | ~ c0_1(X54)
            | ~ c3_1(X54) ) )
      | hskp26 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c0_1(X55)
            | c3_1(X55)
            | ~ c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | ~ c0_1(X56)
            | ~ c3_1(X56) ) )
      | hskp12 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | c3_1(X57)
            | ~ c2_1(X57) ) )
      | hskp13
      | hskp14 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c2_1(X59)
            | ~ c0_1(X59) ) )
      | hskp15 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | hskp16
      | hskp9 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c2_1(X62)
            | ~ c0_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | ~ c1_1(X63)
            | ~ c3_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c1_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c0_1(X65)
            | ~ c2_1(X65) ) )
      | hskp12 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c2_1(X66)
            | ~ c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | ~ c0_1(X67)
            | ~ c2_1(X67) ) )
      | hskp4 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c2_1(X68)
            | ~ c3_1(X68) ) )
      | hskp17
      | hskp18 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c0_1(X69)
            | ~ c2_1(X69)
            | ~ c3_1(X69) ) )
      | hskp19
      | hskp11 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c2_1(X71)
            | ~ c3_1(X71) ) )
      | hskp12 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c0_1(X73)
            | ~ c3_1(X73) ) )
      | hskp20 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | ~ c0_1(X75)
            | ~ c1_1(X75) ) )
      | hskp21 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | c3_1(X76) ) )
      | hskp5
      | hskp14 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | c3_1(X77) ) )
      | hskp15
      | hskp16 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | ~ c0_1(X78) ) )
      | hskp19
      | hskp0 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c2_1(X79)
            | ~ c0_1(X79) ) )
      | hskp7
      | hskp22 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c0_1(X81)
            | ~ c3_1(X81) ) )
      | hskp2 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c2_1(X82)
            | ~ c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | ~ c1_1(X83)
            | ~ c3_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | ~ c1_1(X84)
            | ~ c2_1(X84) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c3_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c3_1(X86)
            | ~ c0_1(X86) ) )
      | hskp22 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c3_1(X87)
            | ~ c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c0_1(X88)
            | ~ c2_1(X88) ) )
      | hskp5 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c3_1(X89)
            | ~ c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c0_1(X90)
            | ~ c3_1(X90) ) )
      | hskp19 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c0_1(X91)
            | ~ c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | ~ c0_1(X92)
            | ~ c1_1(X92) ) )
      | hskp19 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | ~ c0_1(X93)
            | ~ c2_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c0_1(X94)
            | ~ c1_1(X94)
            | ~ c3_1(X94) ) )
      | hskp6 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | ~ c0_1(X95)
            | ~ c2_1(X95) ) )
      | hskp26
      | hskp27 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c0_1(X96)
            | ~ c3_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c1_1(X97)
            | ~ c3_1(X97) ) )
      | hskp14 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | ~ c0_1(X98)
            | ~ c3_1(X98) ) )
      | hskp23
      | hskp22 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | ~ c0_1(X100)
            | ~ c1_1(X100) ) )
      | hskp17 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c1_1(X101)
            | ~ c2_1(X101)
            | ~ c3_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp22 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | ~ c2_1(X103)
            | ~ c3_1(X103) ) )
      | hskp15 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c3_1(X104)
            | ~ c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | ~ c0_1(X105)
            | ~ c3_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c0_1(X106)
            | ~ c2_1(X106)
            | ~ c3_1(X106) ) ) )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | c3_1(X107)
            | ~ c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c0_1(X108)
            | ~ c1_1(X108)
            | ~ c2_1(X108) ) )
      | hskp10 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c3_1(X109)
            | ~ c0_1(X109) ) )
      | hskp28
      | hskp27 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c3_1(X110)
            | ~ c0_1(X110) ) )
      | hskp3
      | hskp8 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | ~ c0_1(X111)
            | ~ c1_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | ~ c0_1(X112)
            | ~ c1_1(X112) ) )
      | hskp8 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | ~ c0_1(X113)
            | ~ c1_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | ~ c2_1(X114)
            | ~ c3_1(X114) ) )
      | hskp20 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | ~ c0_1(X115)
            | ~ c1_1(X115) ) )
      | hskp13
      | hskp12 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | ~ c1_1(X116)
            | ~ c3_1(X116) ) )
      | hskp28 )
    & ( ! [X117] :
          ( ndr1_0
         => ( c3_1(X117)
            | ~ c0_1(X117)
            | ~ c2_1(X117) ) )
      | hskp3
      | hskp10 )
    & ( ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | ~ c0_1(X118)
            | ~ c2_1(X118) ) )
      | hskp4
      | hskp16 )
    & ( ! [X119] :
          ( ndr1_0
         => ( c3_1(X119)
            | ~ c0_1(X119)
            | ~ c2_1(X119) ) )
      | hskp2
      | hskp1 )
    & ( ! [X120] :
          ( ndr1_0
         => ( c3_1(X120)
            | ~ c1_1(X120)
            | ~ c2_1(X120) ) )
      | hskp28
      | hskp7 )
    & ( ! [X121] :
          ( ndr1_0
         => ( ~ c0_1(X121)
            | ~ c1_1(X121)
            | ~ c2_1(X121) ) )
      | hskp17
      | hskp24 )
    & ( ! [X122] :
          ( ndr1_0
         => ( ~ c0_1(X122)
            | ~ c1_1(X122)
            | ~ c3_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( ~ c1_1(X123)
            | ~ c2_1(X123)
            | ~ c3_1(X123) ) )
      | hskp10 )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c0_1(X124)
            | ~ c2_1(X124)
            | ~ c3_1(X124) ) )
      | hskp5
      | hskp16 )
    & ( ! [X125] :
          ( ndr1_0
         => ( ~ c1_1(X125)
            | ~ c2_1(X125)
            | ~ c3_1(X125) ) )
      | hskp3
      | hskp10 )
    & ( hskp26
      | hskp24
      | hskp2 )
    & ( hskp3
      | hskp5
      | hskp4 )
    & ( hskp4
      | hskp13
      | hskp8 )
    & ( hskp12
      | hskp17
      | hskp14 )
    & ( hskp25
      | hskp16 )
    & ( hskp25
      | hskp11
      | hskp1 )
    & ( hskp17
      | hskp24
      | hskp8 )
    & ( hskp17
      | hskp18
      | hskp11 )
    & ( hskp24
      | hskp7 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a322)
        & c3_1(a322)
        & ~ c0_1(a322) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c1_1(a323)
        & ~ c2_1(a323)
        & ~ c3_1(a323) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a324)
        & ~ c1_1(a324)
        & ~ c3_1(a324) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a325)
        & c1_1(a325)
        & ~ c2_1(a325) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a326)
        & c2_1(a326)
        & ~ c1_1(a326) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a327)
        & c1_1(a327)
        & ~ c3_1(a327) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a329)
        & ~ c1_1(a329)
        & ~ c3_1(a329) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a330)
        & ~ c0_1(a330)
        & ~ c1_1(a330) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a332)
        & ~ c2_1(a332)
        & ~ c3_1(a332) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a334)
        & ~ c0_1(a334)
        & ~ c1_1(a334) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a337)
        & ~ c2_1(a337)
        & ~ c3_1(a337) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a338)
        & ~ c1_1(a338)
        & ~ c2_1(a338) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a345)
        & c3_1(a345)
        & ~ c2_1(a345) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a346)
        & c2_1(a346)
        & ~ c3_1(a346) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a347)
        & c3_1(a347)
        & ~ c1_1(a347) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a348)
        & ~ c1_1(a348)
        & ~ c3_1(a348) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a349)
        & c3_1(a349)
        & ~ c2_1(a349) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a353)
        & c2_1(a353)
        & ~ c0_1(a353) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a354)
        & ~ c2_1(a354)
        & ~ c3_1(a354) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a355)
        & c2_1(a355)
        & ~ c3_1(a355) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a358)
        & ~ c0_1(a358)
        & ~ c3_1(a358) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a359)
        & ~ c0_1(a359)
        & ~ c2_1(a359) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a367)
        & ~ c1_1(a367)
        & ~ c2_1(a367) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a377)
        & c3_1(a377)
        & ~ c0_1(a377) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a401)
        & ~ c0_1(a401)
        & ~ c2_1(a401) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a419)
        & ~ c1_1(a419)
        & ~ c2_1(a419) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a333)
        & c1_1(a333)
        & c3_1(a333) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a341)
        & c2_1(a341)
        & c3_1(a341) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a343)
        & c1_1(a343)
        & c2_1(a343) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c2_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c3_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | hskp5
      | hskp1 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c0_1(X11)
          | ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | ~ c0_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c1_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)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | hskp5
      | hskp10 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | c3_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c1_1(X29)
          | ~ c0_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c1_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c3_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c2_1(X49)
          | ~ c0_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | ~ c0_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | ~ c0_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X57] :
          ( c0_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp13
      | hskp14 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp16
      | hskp9 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c2_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X69] :
          ( c0_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp19
      | hskp11 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | hskp5
      | hskp14 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | hskp15
      | hskp16 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp19
      | hskp0 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp7
      | hskp22 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X93] :
          ( c1_1(X93)
          | ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp26
      | hskp27 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c2_1(X97)
          | ~ c1_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp23
      | hskp22 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | ~ c0_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 )
      | hskp28
      | hskp27 )
    & ( ! [X110] :
          ( c2_1(X110)
          | c3_1(X110)
          | ~ c0_1(X110)
          | ~ ndr1_0 )
      | hskp3
      | hskp8 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c1_1(X114)
          | ~ c2_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp13
      | hskp12 )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp3
      | hskp10 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | hskp4
      | hskp16 )
    & ( ! [X119] :
          ( c3_1(X119)
          | ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X121] :
          ( ~ c0_1(X121)
          | ~ c1_1(X121)
          | ~ c2_1(X121)
          | ~ ndr1_0 )
      | hskp17
      | hskp24 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c1_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp5
      | hskp16 )
    & ( ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp3
      | hskp10 )
    & ( hskp26
      | hskp24
      | hskp2 )
    & ( hskp3
      | hskp5
      | hskp4 )
    & ( hskp4
      | hskp13
      | hskp8 )
    & ( hskp12
      | hskp17
      | hskp14 )
    & ( hskp25
      | hskp16 )
    & ( hskp25
      | hskp11
      | hskp1 )
    & ( hskp17
      | hskp24
      | hskp8 )
    & ( hskp17
      | hskp18
      | hskp11 )
    & ( hskp24
      | hskp7 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a322)
        & c3_1(a322)
        & ~ c0_1(a322) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c1_1(a323)
        & ~ c2_1(a323)
        & ~ c3_1(a323) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a324)
        & ~ c1_1(a324)
        & ~ c3_1(a324) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a325)
        & c1_1(a325)
        & ~ c2_1(a325) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a326)
        & c2_1(a326)
        & ~ c1_1(a326) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a327)
        & c1_1(a327)
        & ~ c3_1(a327) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a329)
        & ~ c1_1(a329)
        & ~ c3_1(a329) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a330)
        & ~ c0_1(a330)
        & ~ c1_1(a330) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a332)
        & ~ c2_1(a332)
        & ~ c3_1(a332) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a334)
        & ~ c0_1(a334)
        & ~ c1_1(a334) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a337)
        & ~ c2_1(a337)
        & ~ c3_1(a337) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a338)
        & ~ c1_1(a338)
        & ~ c2_1(a338) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a345)
        & c3_1(a345)
        & ~ c2_1(a345) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a346)
        & c2_1(a346)
        & ~ c3_1(a346) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a347)
        & c3_1(a347)
        & ~ c1_1(a347) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a348)
        & ~ c1_1(a348)
        & ~ c3_1(a348) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a349)
        & c3_1(a349)
        & ~ c2_1(a349) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a353)
        & c2_1(a353)
        & ~ c0_1(a353) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a354)
        & ~ c2_1(a354)
        & ~ c3_1(a354) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a355)
        & c2_1(a355)
        & ~ c3_1(a355) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a358)
        & ~ c0_1(a358)
        & ~ c3_1(a358) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a359)
        & ~ c0_1(a359)
        & ~ c2_1(a359) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a367)
        & ~ c1_1(a367)
        & ~ c2_1(a367) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a377)
        & c3_1(a377)
        & ~ c0_1(a377) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a401)
        & ~ c0_1(a401)
        & ~ c2_1(a401) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a419)
        & ~ c1_1(a419)
        & ~ c2_1(a419) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a333)
        & c1_1(a333)
        & c3_1(a333) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a341)
        & c2_1(a341)
        & c3_1(a341) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a343)
        & c1_1(a343)
        & c2_1(a343) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c2_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | c3_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | hskp5
      | hskp1 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c0_1(X11)
          | ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | ~ c0_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c1_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)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | hskp5
      | hskp10 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c0_1(X27)
          | c3_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c1_1(X29)
          | ~ c0_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c1_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c3_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c2_1(X49)
          | ~ c0_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X50] :
          ( c0_1(X50)
          | c3_1(X50)
          | ~ c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | ~ c0_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | c3_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X55] :
          ( c0_1(X55)
          | c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | ~ c0_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X57] :
          ( c0_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp13
      | hskp14 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp16
      | hskp9 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c2_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X69] :
          ( c0_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp19
      | hskp11 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c1_1(X71)
          | c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | hskp5
      | hskp14 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | hskp15
      | hskp16 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | hskp19
      | hskp0 )
    & ( ! [X79] :
          ( c1_1(X79)
          | c2_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp7
      | hskp22 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c3_1(X92)
          | ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X93] :
          ( c1_1(X93)
          | ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp26
      | hskp27 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c2_1(X97)
          | ~ c1_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X98] :
          ( c1_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp23
      | hskp22 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c2_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | ~ c0_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 ) )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c0_1(X108)
          | ~ c1_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c0_1(X109)
          | ~ ndr1_0 )
      | hskp28
      | hskp27 )
    & ( ! [X110] :
          ( c2_1(X110)
          | c3_1(X110)
          | ~ c0_1(X110)
          | ~ ndr1_0 )
      | hskp3
      | hskp8 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c1_1(X114)
          | ~ c2_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp13
      | hskp12 )
    & ( ! [X116] :
          ( c2_1(X116)
          | ~ c1_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp3
      | hskp10 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c0_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | hskp4
      | hskp16 )
    & ( ! [X119] :
          ( c3_1(X119)
          | ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ ndr1_0 )
      | hskp2
      | hskp1 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X121] :
          ( ~ c0_1(X121)
          | ~ c1_1(X121)
          | ~ c2_1(X121)
          | ~ ndr1_0 )
      | hskp17
      | hskp24 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c1_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X124] :
          ( ~ c0_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp5
      | hskp16 )
    & ( ! [X125] :
          ( ~ c1_1(X125)
          | ~ c2_1(X125)
          | ~ c3_1(X125)
          | ~ ndr1_0 )
      | hskp3
      | hskp10 )
    & ( hskp26
      | hskp24
      | hskp2 )
    & ( hskp3
      | hskp5
      | hskp4 )
    & ( hskp4
      | hskp13
      | hskp8 )
    & ( hskp12
      | hskp17
      | hskp14 )
    & ( hskp25
      | hskp16 )
    & ( hskp25
      | hskp11
      | hskp1 )
    & ( hskp17
      | hskp24
      | hskp8 )
    & ( hskp17
      | hskp18
      | hskp11 )
    & ( hskp24
      | hskp7 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp24
    | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp25
    | hskp11
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp25
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp12
    | hskp17
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X124] :
      ( ~ c0_1(X124)
      | ~ c2_1(X124)
      | ~ c3_1(X124)
      | ~ ndr1_0
      | hskp5
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X122,X123] :
      ( ~ c0_1(X122)
      | ~ c1_1(X122)
      | ~ c3_1(X122)
      | ~ ndr1_0
      | ~ c1_1(X123)
      | ~ c2_1(X123)
      | ~ c3_1(X123)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X120] :
      ( c3_1(X120)
      | ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ ndr1_0
      | hskp28
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X117] :
      ( c3_1(X117)
      | ~ c0_1(X117)
      | ~ c2_1(X117)
      | ~ ndr1_0
      | hskp3
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X116] :
      ( c2_1(X116)
      | ~ c1_1(X116)
      | ~ c3_1(X116)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X113,X114] :
      ( c2_1(X113)
      | ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | ~ c1_1(X114)
      | ~ c2_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X111,X112] :
      ( c2_1(X111)
      | ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | ~ c0_1(X112)
      | ~ c1_1(X112)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X110] :
      ( c2_1(X110)
      | c3_1(X110)
      | ~ c0_1(X110)
      | ~ ndr1_0
      | hskp3
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X106,X104,X105] :
      ( c2_1(X104)
      | c3_1(X104)
      | ~ c0_1(X104)
      | ~ ndr1_0
      | c2_1(X105)
      | ~ c0_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | ~ c0_1(X106)
      | ~ c2_1(X106)
      | ~ c3_1(X106)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X103] :
      ( c1_1(X103)
      | ~ c2_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X101,X102] :
      ( c1_1(X101)
      | ~ c2_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c2_1(X100)
      | ~ c0_1(X100)
      | ~ c1_1(X100)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X82,X83,X84] :
      ( c1_1(X82)
      | c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | c2_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | ~ c0_1(X84)
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X79] :
      ( c1_1(X79)
      | c2_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | hskp7
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | hskp15
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X76] :
      ( c1_1(X76)
      | c2_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | hskp5
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | c3_1(X75)
      | ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | c1_1(X71)
      | c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X66,X67] :
      ( c0_1(X66)
      | ~ c2_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | c3_1(X67)
      | ~ c0_1(X67)
      | ~ c2_1(X67)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X57] :
      ( c0_1(X57)
      | c3_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | hskp13
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X54,X53] :
      ( c0_1(X53)
      | c3_1(X53)
      | ~ c1_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | ~ c0_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X46,X47,X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c2_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | c1_1(X47)
      | ~ c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X44,X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c0_1(X42)
      | c3_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X38,X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ c2_1(X37)
      | ~ ndr1_0
      | ~ c0_1(X38)
      | ~ c1_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c1_1(X29)
      | ~ c0_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0
      | c2_1(X30)
      | c3_1(X30)
      | ~ c0_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c1_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | ~ c0_1(X24)
      | ~ c1_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | c1_1(X20)
      | c2_1(X20)
      | ~ c0_1(X20)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp28
    | c2_1(a343) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp28
    | c1_1(a343) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp28
    | c0_1(a343) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp27
    | c3_1(a341) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp27
    | c2_1(a341) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp27
    | c1_1(a341) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp26
    | c3_1(a333) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp26
    | c1_1(a333) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp26
    | c0_1(a333) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp25
    | ~ c2_1(a419) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp25
    | ~ c1_1(a419) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp25
    | c0_1(a419) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp24
    | ~ c2_1(a401) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp24
    | ~ c0_1(a401) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp24
    | c1_1(a401) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp22
    | ~ c2_1(a367) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp22
    | ~ c1_1(a367) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp22
    | c3_1(a367) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp21
    | ~ c2_1(a359) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp21
    | ~ c0_1(a359) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp21
    | c3_1(a359) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp20
    | ~ c3_1(a358) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp20
    | ~ c0_1(a358) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp20
    | c2_1(a358) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp17
    | ~ c0_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp17
    | c2_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp17
    | c1_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp16
    | ~ c2_1(a349) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp16
    | c3_1(a349) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp16
    | c1_1(a349) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp15
    | ~ c3_1(a348) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp15
    | ~ c1_1(a348) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp15
    | c0_1(a348) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp14
    | ~ c1_1(a347) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp14
    | c3_1(a347) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp14
    | c2_1(a347) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp13
    | ~ c3_1(a346) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp13
    | c2_1(a346) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp13
    | c0_1(a346) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp12
    | ~ c2_1(a345) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp12
    | c3_1(a345) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp12
    | c0_1(a345) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp11
    | ~ c2_1(a338) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp11
    | ~ c1_1(a338) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp10
    | ~ c3_1(a337) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp10
    | ~ c2_1(a337) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp10
    | c0_1(a337) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp8
    | ~ c3_1(a332) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp8
    | ~ c2_1(a332) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp8
    | ~ c0_1(a332) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp7
    | ~ c1_1(a330) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp7
    | ~ c0_1(a330) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp7
    | c3_1(a330) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp5
    | ~ c3_1(a327) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp5
    | c1_1(a327) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp5
    | c0_1(a327) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp4
    | ~ c1_1(a326) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp4
    | c2_1(a326) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp4
    | c0_1(a326) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp3
    | ~ c2_1(a325) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp3
    | c1_1(a325) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp3
    | c0_1(a325) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp1
    | ~ c3_1(a323) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp1
    | ~ c2_1(a323) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp1
    | ~ c1_1(a323) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( hskp1
    | ~ c1_1(a323) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f205,plain,
    ( hskp1
    | ~ c2_1(a323) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f206,plain,
    ( hskp1
    | ~ c3_1(a323) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f209,plain,
    ( hskp3
    | ~ c0_1(a325) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f210,plain,
    ( hskp3
    | c1_1(a325) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f211,plain,
    ( hskp3
    | ~ c2_1(a325) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f213,plain,
    ( hskp4
    | ~ c0_1(a326) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f214,plain,
    ( hskp4
    | c2_1(a326) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f215,plain,
    ( hskp4
    | ~ c1_1(a326) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f217,plain,
    ( hskp5
    | ~ c0_1(a327) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f218,plain,
    ( hskp5
    | c1_1(a327) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f219,plain,
    ( hskp5
    | ~ c3_1(a327) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f220,plain,
    ( hskp7
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f221,plain,
    ( hskp7
    | c3_1(a330) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f222,plain,
    ( hskp7
    | c0_1(a330) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f223,plain,
    ( hskp7
    | ~ c1_1(a330) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f225,plain,
    ( hskp8
    | c0_1(a332) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f226,plain,
    ( hskp8
    | ~ c2_1(a332) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f227,plain,
    ( hskp8
    | ~ c3_1(a332) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f229,plain,
    ( ~ hskp10
    | ~ c0_1(a337) ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f232,plain,
    ( hskp11
    | ~ c1_1(a338) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f233,plain,
    ( hskp11
    | ~ c2_1(a338) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f235,plain,
    ( hskp12
    | ~ c0_1(a345) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f236,plain,
    ( hskp12
    | c3_1(a345) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f237,plain,
    ( hskp12
    | ~ c2_1(a345) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f239,plain,
    ( hskp13
    | ~ c0_1(a346) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f240,plain,
    ( hskp13
    | c2_1(a346) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f241,plain,
    ( hskp13
    | ~ c3_1(a346) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f243,plain,
    ( hskp14
    | c2_1(a347) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f244,plain,
    ( hskp14
    | c3_1(a347) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f245,plain,
    ( hskp14
    | ~ c1_1(a347) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f246,plain,
    ( ~ hskp15
    | ~ c0_1(a348) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f248,plain,
    ( hskp16
    | c1_1(a349) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f249,plain,
    ( hskp16
    | c3_1(a349) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f250,plain,
    ( hskp16
    | ~ c2_1(a349) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f252,plain,
    ( hskp17
    | c1_1(a353) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f253,plain,
    ( hskp17
    | c2_1(a353) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f254,plain,
    ( hskp17
    | c0_1(a353) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f259,plain,
    ( ~ hskp20
    | c0_1(a358) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f261,plain,
    ( hskp21
    | c3_1(a359) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f262,plain,
    ( hskp21
    | c0_1(a359) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f263,plain,
    ( hskp21
    | ~ c2_1(a359) ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f265,plain,
    ( hskp22
    | c3_1(a367) ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f266,plain,
    ( hskp22
    | ~ c1_1(a367) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f267,plain,
    ( hskp22
    | ~ c2_1(a367) ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f272,plain,
    ( hskp24
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f273,plain,
    ( hskp24
    | c1_1(a401) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f274,plain,
    ( hskp24
    | c0_1(a401) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f275,plain,
    ( hskp24
    | ~ c2_1(a401) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f276,plain,
    ( ~ hskp25
    | ~ c0_1(a419) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f278,plain,
    ( hskp26
    | ~ c0_1(a333) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f279,plain,
    ( hskp26
    | c1_1(a333) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f280,plain,
    ( hskp26
    | c3_1(a333) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f282,plain,
    ( hskp27
    | c1_1(a341) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f283,plain,
    ( hskp27
    | c2_1(a341) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f284,plain,
    ( hskp27
    | c3_1(a341) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f286,plain,
    ( hskp28
    | ~ c0_1(a343) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f287,plain,
    ( hskp28
    | c1_1(a343) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f288,plain,
    ( hskp28
    | c2_1(a343) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f299,plain,
    ! [X19,X20] :
      ( ~ c0_1(X19)
      | c1_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | c1_1(X20)
      | c2_1(X20)
      | c0_1(X20)
      | ~ ndr1_0
      | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f301,plain,
    ! [X24,X23] :
      ( ~ c0_1(X23)
      | c1_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | c0_1(X24)
      | ~ c1_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f73]) ).

fof(f304,plain,
    ! [X28,X29,X30] :
      ( ~ c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c1_1(X29)
      | c0_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0
      | c2_1(X30)
      | c3_1(X30)
      | c0_1(X30)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f307,plain,
    ! [X38,X36,X37] :
      ( ~ c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ c2_1(X37)
      | ~ ndr1_0
      | c0_1(X38)
      | ~ c1_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f309,plain,
    ! [X41,X42] :
      ( ~ c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c3_1(X42)
      | ~ c1_1(X42)
      | ~ ndr1_0
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f310,plain,
    ! [X44,X43] :
      ( ~ c0_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f311,plain,
    ! [X46,X47,X45] :
      ( ~ c0_1(X45)
      | c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c2_1(X46)
      | c0_1(X46)
      | ~ ndr1_0
      | c1_1(X47)
      | ~ c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f314,plain,
    ! [X54,X53] :
      ( ~ c0_1(X53)
      | c3_1(X53)
      | ~ c1_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c0_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f316,plain,
    ! [X57] :
      ( ~ c0_1(X57)
      | c3_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | ~ hskp13
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f321,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | ~ c2_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | c3_1(X67)
      | c0_1(X67)
      | ~ c2_1(X67)
      | ~ ndr1_0
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f324,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | c1_1(X71)
      | c2_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f326,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | c3_1(X75)
      | c0_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f327,plain,
    ! [X76] :
      ( c1_1(X76)
      | c2_1(X76)
      | c3_1(X76)
      | ~ ndr1_0
      | ~ hskp5
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f328,plain,
    ! [X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | hskp15
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f330,plain,
    ! [X79] :
      ( c1_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0
      | ~ hskp7
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f332,plain,
    ! [X82,X83,X84] :
      ( c1_1(X82)
      | c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | c2_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | c0_1(X84)
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f333,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | c0_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | c0_1(X86)
      | ~ ndr1_0
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f341,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c2_1(X100)
      | c0_1(X100)
      | ~ c1_1(X100)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f342,plain,
    ! [X101,X102] :
      ( c1_1(X101)
      | ~ c2_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f343,plain,
    ! [X106,X104,X105] :
      ( c2_1(X104)
      | c3_1(X104)
      | c0_1(X104)
      | ~ ndr1_0
      | c2_1(X105)
      | c0_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | c0_1(X106)
      | ~ c2_1(X106)
      | ~ c3_1(X106)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f346,plain,
    ! [X110] :
      ( c2_1(X110)
      | c3_1(X110)
      | c0_1(X110)
      | ~ ndr1_0
      | ~ hskp3
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f347,plain,
    ! [X111,X112] :
      ( c2_1(X111)
      | c0_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | c0_1(X112)
      | ~ c1_1(X112)
      | ~ ndr1_0
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f348,plain,
    ! [X113,X114] :
      ( c2_1(X113)
      | c0_1(X113)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | ~ c1_1(X114)
      | ~ c2_1(X114)
      | ~ c3_1(X114)
      | ~ ndr1_0
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f350,plain,
    ! [X116] :
      ( c2_1(X116)
      | ~ c1_1(X116)
      | ~ c3_1(X116)
      | ~ ndr1_0
      | ~ hskp28 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f351,plain,
    ! [X117] :
      ( c3_1(X117)
      | c0_1(X117)
      | ~ c2_1(X117)
      | ~ ndr1_0
      | ~ hskp3
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f354,plain,
    ! [X120] :
      ( c3_1(X120)
      | ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ ndr1_0
      | ~ hskp28
      | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f356,plain,
    ! [X122,X123] :
      ( c0_1(X122)
      | ~ c1_1(X122)
      | ~ c3_1(X122)
      | ~ ndr1_0
      | ~ c1_1(X123)
      | ~ c2_1(X123)
      | ~ c3_1(X123)
      | ~ ndr1_0
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f357,plain,
    ! [X124] :
      ( c0_1(X124)
      | ~ c2_1(X124)
      | ~ c3_1(X124)
      | ~ ndr1_0
      | ~ hskp5
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f362,plain,
    ( ~ hskp12
    | ~ hskp17
    | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f363,plain,
    ( hskp25
    | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f364,plain,
    ( hskp25
    | ~ hskp11
    | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f367,plain,
    ( ~ hskp24
    | ~ hskp7 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f368,plain,
    ! [X122,X123] :
      ( c0_1(X122)
      | ~ c1_1(X122)
      | ~ c3_1(X122)
      | ~ ndr1_0
      | ~ c1_1(X123)
      | ~ c2_1(X123)
      | ~ c3_1(X123)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f356]) ).

fof(f369,plain,
    ! [X113,X114] :
      ( c2_1(X113)
      | c0_1(X113)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | ~ c1_1(X114)
      | ~ c2_1(X114)
      | ~ c3_1(X114)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f370,plain,
    ! [X111,X112] :
      ( c2_1(X111)
      | c0_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | c0_1(X112)
      | ~ c1_1(X112)
      | ~ hskp8 ),
    inference(duplicate_literal_removal,[],[f347]) ).

fof(f372,plain,
    ! [X106,X104,X105] :
      ( c2_1(X104)
      | c3_1(X104)
      | c0_1(X104)
      | ~ ndr1_0
      | c2_1(X105)
      | c0_1(X105)
      | ~ c3_1(X105)
      | c0_1(X106)
      | ~ c2_1(X106)
      | ~ c3_1(X106) ),
    inference(duplicate_literal_removal,[],[f343]) ).

fof(f373,plain,
    ! [X101,X102] :
      ( c1_1(X101)
      | ~ c2_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | ~ c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ hskp22 ),
    inference(duplicate_literal_removal,[],[f342]) ).

fof(f374,plain,
    ! [X99,X100] :
      ( c1_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | c2_1(X100)
      | c0_1(X100)
      | ~ c1_1(X100)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f341]) ).

fof(f380,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | c0_1(X85)
      | ~ ndr1_0
      | c2_1(X86)
      | c3_1(X86)
      | c0_1(X86)
      | ~ hskp22 ),
    inference(duplicate_literal_removal,[],[f333]) ).

fof(f381,plain,
    ! [X82,X83,X84] :
      ( c1_1(X82)
      | c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | c2_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | c0_1(X84)
      | ~ c1_1(X84)
      | ~ c2_1(X84) ),
    inference(duplicate_literal_removal,[],[f332]) ).

fof(f383,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | c3_1(X75)
      | c0_1(X75)
      | ~ c1_1(X75)
      | ~ hskp21 ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f385,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | c1_1(X71)
      | c2_1(X71)
      | ~ c3_1(X71)
      | ~ hskp12 ),
    inference(duplicate_literal_removal,[],[f324]) ).

fof(f386,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | ~ c2_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | c3_1(X67)
      | c0_1(X67)
      | ~ c2_1(X67)
      | ~ hskp4 ),
    inference(duplicate_literal_removal,[],[f321]) ).

fof(f391,plain,
    ! [X54,X53] :
      ( ~ c0_1(X53)
      | c3_1(X53)
      | ~ c1_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c0_1(X54)
      | ~ c3_1(X54)
      | ~ hskp26 ),
    inference(duplicate_literal_removal,[],[f314]) ).

fof(f394,plain,
    ! [X46,X47,X45] :
      ( ~ c0_1(X45)
      | c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c2_1(X46)
      | c0_1(X46)
      | c1_1(X47)
      | ~ c2_1(X47)
      | ~ c3_1(X47) ),
    inference(duplicate_literal_removal,[],[f311]) ).

fof(f395,plain,
    ! [X44,X43] :
      ( ~ c0_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ hskp7 ),
    inference(duplicate_literal_removal,[],[f310]) ).

fof(f396,plain,
    ! [X41,X42] :
      ( ~ c0_1(X41)
      | c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | c3_1(X42)
      | ~ c1_1(X42)
      | ~ hskp27 ),
    inference(duplicate_literal_removal,[],[f309]) ).

fof(f398,plain,
    ! [X38,X36,X37] :
      ( ~ c0_1(X36)
      | c2_1(X36)
      | ~ c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ c2_1(X37)
      | c0_1(X38)
      | ~ c1_1(X38)
      | ~ c2_1(X38) ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f401,plain,
    ! [X28,X29,X30] :
      ( ~ c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c1_1(X29)
      | c0_1(X29)
      | ~ c2_1(X29)
      | c2_1(X30)
      | c3_1(X30)
      | c0_1(X30) ),
    inference(duplicate_literal_removal,[],[f304]) ).

fof(f403,plain,
    ! [X24,X23] :
      ( ~ c0_1(X23)
      | c1_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | c0_1(X24)
      | ~ c1_1(X24)
      | ~ c2_1(X24)
      | ~ hskp7 ),
    inference(duplicate_literal_removal,[],[f301]) ).

fof(f405,plain,
    ! [X19,X20] :
      ( ~ c0_1(X19)
      | c1_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | c1_1(X20)
      | c2_1(X20)
      | c0_1(X20)
      | ~ hskp26 ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f415,definition,
    ( spl0_1
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f419,definition,
    ( spl0_2
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f422,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f367,f419,f415]) ).

fof(f424,definition,
    ( spl0_3
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f432,definition,
    ( spl0_5
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f437,definition,
    ( spl0_6
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f442,definition,
    ( spl0_7
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f446,definition,
    ( spl0_8
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f449,plain,
    ( ~ spl0_7
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f364,f446,f424,f442]) ).

fof(f451,definition,
    ( spl0_9
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f454,plain,
    ( ~ spl0_9
    | spl0_8 ),
    inference(avatar_split_clause,[],[f363,f446,f451]) ).

fof(f456,definition,
    ( spl0_10
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f460,definition,
    ( spl0_11
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f463,plain,
    ( ~ spl0_10
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f362,f460,f432,f456]) ).

fof(f465,definition,
    ( spl0_12
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f469,definition,
    ( spl0_13
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f474,definition,
    ( spl0_14
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f478,definition,
    ( spl0_15
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f487,definition,
    ( spl0_17
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f492,definition,
    ( spl0_18
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f496,definition,
    ( spl0_19
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f500,definition,
    ( spl0_20
  <=> ! [X125] :
        ( ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ c2_1(X125) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X125] :
        ( ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ c2_1(X125) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f504,definition,
    ( spl0_21
  <=> ! [X124] :
        ( c0_1(X124)
        | ~ c3_1(X124)
        | ~ c2_1(X124) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f505,plain,
    ( ! [X124] :
        ( c0_1(X124)
        | ~ c3_1(X124)
        | ~ c2_1(X124) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f506,plain,
    ( ~ spl0_9
    | ~ spl0_14
    | ~ spl0_19
    | spl0_21 ),
    inference(avatar_split_clause,[],[f357,f504,f496,f474,f451]) ).

fof(f508,definition,
    ( spl0_22
  <=> ! [X122] :
        ( c0_1(X122)
        | ~ c3_1(X122)
        | ~ c1_1(X122) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f509,plain,
    ( ! [X122] :
        ( ~ c1_1(X122)
        | ~ c3_1(X122)
        | c0_1(X122) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f510,plain,
    ( spl0_18
    | spl0_20
    | ~ spl0_19
    | spl0_22 ),
    inference(avatar_split_clause,[],[f368,f508,f496,f500,f492]) ).

fof(f512,definition,
    ( spl0_23
  <=> ! [X121] :
        ( c0_1(X121)
        | ~ c2_1(X121)
        | ~ c1_1(X121) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f513,plain,
    ( ! [X121] :
        ( ~ c1_1(X121)
        | ~ c2_1(X121)
        | c0_1(X121) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f516,definition,
    ( spl0_24
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f520,definition,
    ( spl0_25
  <=> ! [X120] :
        ( c3_1(X120)
        | ~ c2_1(X120)
        | ~ c1_1(X120) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f521,plain,
    ( ! [X120] :
        ( ~ c1_1(X120)
        | ~ c2_1(X120)
        | c3_1(X120) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f522,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | ~ spl0_19
    | spl0_25 ),
    inference(avatar_split_clause,[],[f354,f520,f496,f516,f415]) ).

fof(f524,definition,
    ( spl0_26
  <=> ! [X119] :
        ( c3_1(X119)
        | ~ c2_1(X119)
        | c0_1(X119) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f525,plain,
    ( ! [X119] :
        ( c0_1(X119)
        | ~ c2_1(X119)
        | c3_1(X119) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f528,plain,
    ( spl0_18
    | ~ spl0_15
    | ~ spl0_19
    | spl0_26 ),
    inference(avatar_split_clause,[],[f351,f524,f496,f478,f492]) ).

fof(f530,definition,
    ( spl0_27
  <=> ! [X116] :
        ( c2_1(X116)
        | ~ c3_1(X116)
        | ~ c1_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f531,plain,
    ( ! [X116] :
        ( ~ c1_1(X116)
        | ~ c3_1(X116)
        | c2_1(X116) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f532,plain,
    ( ~ spl0_24
    | ~ spl0_19
    | spl0_27 ),
    inference(avatar_split_clause,[],[f350,f530,f496,f516]) ).

fof(f534,definition,
    ( spl0_28
  <=> ! [X115] :
        ( c2_1(X115)
        | ~ c1_1(X115)
        | c0_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f535,plain,
    ( ! [X115] :
        ( ~ c1_1(X115)
        | c2_1(X115)
        | c0_1(X115) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f538,definition,
    ( spl0_29
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f541,plain,
    ( spl0_29
    | spl0_20
    | ~ spl0_19
    | spl0_28 ),
    inference(avatar_split_clause,[],[f369,f534,f496,f500,f538]) ).

fof(f543,definition,
    ( spl0_30
  <=> ! [X112] :
        ( c3_1(X112)
        | ~ c1_1(X112)
        | c0_1(X112) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f544,plain,
    ( ! [X112] :
        ( ~ c1_1(X112)
        | c3_1(X112)
        | c0_1(X112) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f545,plain,
    ( ~ spl0_6
    | spl0_30
    | ~ spl0_19
    | spl0_28 ),
    inference(avatar_split_clause,[],[f370,f534,f496,f543,f437]) ).

fof(f547,definition,
    ( spl0_31
  <=> ! [X110] :
        ( c2_1(X110)
        | c0_1(X110)
        | c3_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f548,plain,
    ( ! [X110] :
        ( c0_1(X110)
        | c2_1(X110)
        | c3_1(X110) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f549,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | ~ spl0_19
    | spl0_31 ),
    inference(avatar_split_clause,[],[f346,f547,f496,f478,f437]) ).

fof(f551,definition,
    ( spl0_32
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f557,definition,
    ( spl0_33
  <=> ! [X105] :
        ( c2_1(X105)
        | ~ c3_1(X105)
        | c0_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f558,plain,
    ( ! [X105] :
        ( c0_1(X105)
        | ~ c3_1(X105)
        | c2_1(X105) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f559,plain,
    ( spl0_21
    | spl0_33
    | ~ spl0_19
    | spl0_31 ),
    inference(avatar_split_clause,[],[f372,f547,f496,f557,f504]) ).

fof(f561,definition,
    ( spl0_34
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f565,definition,
    ( spl0_35
  <=> ! [X103] :
        ( c1_1(X103)
        | ~ c3_1(X103)
        | ~ c2_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f566,plain,
    ( ! [X103] :
        ( c1_1(X103)
        | ~ c3_1(X103)
        | ~ c2_1(X103) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f567,plain,
    ( spl0_34
    | ~ spl0_19
    | spl0_35 ),
    inference(avatar_split_clause,[],[f31,f565,f496,f561]) ).

fof(f569,definition,
    ( spl0_36
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f572,plain,
    ( ~ spl0_36
    | spl0_20
    | ~ spl0_19
    | spl0_35 ),
    inference(avatar_split_clause,[],[f373,f565,f496,f500,f569]) ).

fof(f573,plain,
    ( ~ spl0_5
    | spl0_28
    | ~ spl0_19
    | spl0_35 ),
    inference(avatar_split_clause,[],[f374,f565,f496,f534,f432]) ).

fof(f584,definition,
    ( spl0_39
  <=> ! [X95] :
        ( c1_1(X95)
        | ~ c2_1(X95)
        | c0_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f585,plain,
    ( ! [X95] :
        ( c1_1(X95)
        | ~ c2_1(X95)
        | c0_1(X95) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f603,definition,
    ( spl0_43
  <=> ! [X85] :
        ( c1_1(X85)
        | c0_1(X85)
        | c3_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f604,plain,
    ( ! [X85] :
        ( c1_1(X85)
        | c0_1(X85)
        | c3_1(X85) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f605,plain,
    ( ~ spl0_36
    | spl0_31
    | ~ spl0_19
    | spl0_43 ),
    inference(avatar_split_clause,[],[f380,f603,f496,f547,f569]) ).

fof(f607,definition,
    ( spl0_44
  <=> ! [X82] :
        ( c1_1(X82)
        | ~ c3_1(X82)
        | c2_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f608,plain,
    ( ! [X82] :
        ( c1_1(X82)
        | ~ c3_1(X82)
        | c2_1(X82) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f609,plain,
    ( spl0_23
    | spl0_27
    | ~ spl0_19
    | spl0_44 ),
    inference(avatar_split_clause,[],[f381,f607,f496,f530,f512]) ).

fof(f612,definition,
    ( spl0_45
  <=> ! [X79] :
        ( c1_1(X79)
        | c0_1(X79)
        | c2_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f613,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | c0_1(X79)
        | c2_1(X79) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f614,plain,
    ( ~ spl0_36
    | ~ spl0_1
    | ~ spl0_19
    | spl0_45 ),
    inference(avatar_split_clause,[],[f330,f612,f496,f415,f569]) ).

fof(f621,definition,
    ( spl0_47
  <=> ! [X77] :
        ( c1_1(X77)
        | c3_1(X77)
        | c2_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f622,plain,
    ( ! [X77] :
        ( c1_1(X77)
        | c3_1(X77)
        | c2_1(X77) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f623,plain,
    ( ~ spl0_9
    | spl0_34
    | ~ spl0_19
    | spl0_47 ),
    inference(avatar_split_clause,[],[f328,f621,f496,f561,f451]) ).

fof(f624,plain,
    ( ~ spl0_10
    | ~ spl0_14
    | ~ spl0_19
    | spl0_47 ),
    inference(avatar_split_clause,[],[f327,f621,f496,f474,f456]) ).

fof(f626,definition,
    ( spl0_48
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ spl0_48
    | spl0_30
    | ~ spl0_19
    | spl0_47 ),
    inference(avatar_split_clause,[],[f383,f621,f496,f543,f626]) ).

fof(f631,plain,
    ( ~ spl0_11
    | spl0_44
    | ~ spl0_19
    | spl0_47 ),
    inference(avatar_split_clause,[],[f385,f621,f496,f607,f460]) ).

fof(f633,definition,
    ( spl0_49
  <=> ! [X69] :
        ( ~ c0_1(X69)
        | ~ c3_1(X69)
        | ~ c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f634,plain,
    ( ! [X69] :
        ( ~ c0_1(X69)
        | ~ c3_1(X69)
        | ~ c2_1(X69) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f633]) ).

fof(f637,plain,
    ( ~ spl0_13
    | spl0_26
    | ~ spl0_19
    | spl0_49 ),
    inference(avatar_split_clause,[],[f386,f633,f496,f524,f469]) ).

fof(f653,definition,
    ( spl0_53
  <=> ! [X57] :
        ( ~ c0_1(X57)
        | ~ c2_1(X57)
        | c3_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f654,plain,
    ( ! [X57] :
        ( ~ c0_1(X57)
        | ~ c2_1(X57)
        | c3_1(X57) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f655,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | ~ spl0_19
    | spl0_53 ),
    inference(avatar_split_clause,[],[f316,f653,f496,f465,f456]) ).

fof(f658,definition,
    ( spl0_54
  <=> ! [X53] :
        ( ~ c0_1(X53)
        | ~ c1_1(X53)
        | c3_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f659,plain,
    ( ! [X53] :
        ( ~ c1_1(X53)
        | ~ c0_1(X53)
        | c3_1(X53) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f660,plain,
    ( ~ spl0_17
    | spl0_33
    | ~ spl0_19
    | spl0_54 ),
    inference(avatar_split_clause,[],[f391,f658,f496,f557,f487]) ).

fof(f666,definition,
    ( spl0_56
  <=> ! [X48] :
        ( ~ c0_1(X48)
        | ~ c3_1(X48)
        | c2_1(X48) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f667,plain,
    ( ! [X48] :
        ( ~ c0_1(X48)
        | ~ c3_1(X48)
        | c2_1(X48) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f669,plain,
    ( spl0_35
    | spl0_45
    | ~ spl0_19
    | spl0_56 ),
    inference(avatar_split_clause,[],[f394,f666,f496,f612,f565]) ).

fof(f670,plain,
    ( ~ spl0_1
    | spl0_54
    | ~ spl0_19
    | spl0_56 ),
    inference(avatar_split_clause,[],[f395,f666,f496,f658,f415]) ).

fof(f671,plain,
    ( ~ spl0_32
    | spl0_54
    | ~ spl0_19
    | spl0_56 ),
    inference(avatar_split_clause,[],[f396,f666,f496,f658,f551]) ).

fof(f673,definition,
    ( spl0_57
  <=> ! [X39] :
        ( ~ c0_1(X39)
        | ~ c1_1(X39)
        | c2_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f674,plain,
    ( ! [X39] :
        ( ~ c1_1(X39)
        | ~ c0_1(X39)
        | c2_1(X39) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f676,plain,
    ( spl0_23
    | spl0_25
    | ~ spl0_19
    | spl0_57 ),
    inference(avatar_split_clause,[],[f398,f673,f496,f520,f512]) ).

fof(f679,plain,
    ( spl0_31
    | spl0_39
    | ~ spl0_19
    | spl0_57 ),
    inference(avatar_split_clause,[],[f401,f673,f496,f584,f547]) ).

fof(f682,definition,
    ( spl0_58
  <=> ! [X25] :
        ( ~ c0_1(X25)
        | c3_1(X25)
        | c2_1(X25) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f683,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c3_1(X25)
        | c2_1(X25) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f686,definition,
    ( spl0_59
  <=> ! [X23] :
        ( ~ c0_1(X23)
        | ~ c3_1(X23)
        | c1_1(X23) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f687,plain,
    ( ! [X23] :
        ( c1_1(X23)
        | ~ c3_1(X23)
        | ~ c0_1(X23) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f688,plain,
    ( ~ spl0_1
    | spl0_23
    | ~ spl0_19
    | spl0_59 ),
    inference(avatar_split_clause,[],[f403,f686,f496,f512,f415]) ).

fof(f690,plain,
    ( ~ spl0_17
    | spl0_45
    | ~ spl0_19
    | spl0_59 ),
    inference(avatar_split_clause,[],[f405,f686,f496,f612,f487]) ).

fof(f711,definition,
    ( spl0_63
  <=> c2_1(a343) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f714,plain,
    ( spl0_63
    | spl0_24 ),
    inference(avatar_split_clause,[],[f288,f516,f711]) ).

fof(f716,definition,
    ( spl0_64
  <=> c1_1(a343) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f718,plain,
    ( c1_1(a343)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( spl0_64
    | spl0_24 ),
    inference(avatar_split_clause,[],[f287,f516,f716]) ).

fof(f721,definition,
    ( spl0_65
  <=> c0_1(a343) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f723,plain,
    ( ~ c0_1(a343)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f721]) ).

fof(f724,plain,
    ( ~ spl0_65
    | spl0_24 ),
    inference(avatar_split_clause,[],[f286,f516,f721]) ).

fof(f727,definition,
    ( spl0_66
  <=> c3_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f730,plain,
    ( spl0_66
    | spl0_32 ),
    inference(avatar_split_clause,[],[f284,f551,f727]) ).

fof(f732,definition,
    ( spl0_67
  <=> c2_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f735,plain,
    ( spl0_67
    | spl0_32 ),
    inference(avatar_split_clause,[],[f283,f551,f732]) ).

fof(f737,definition,
    ( spl0_68
  <=> c1_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f739,plain,
    ( c1_1(a341)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f740,plain,
    ( spl0_68
    | spl0_32 ),
    inference(avatar_split_clause,[],[f282,f551,f737]) ).

fof(f743,definition,
    ( spl0_69
  <=> c3_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f746,plain,
    ( spl0_69
    | spl0_17 ),
    inference(avatar_split_clause,[],[f280,f487,f743]) ).

fof(f748,definition,
    ( spl0_70
  <=> c1_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f750,plain,
    ( c1_1(a333)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( spl0_70
    | spl0_17 ),
    inference(avatar_split_clause,[],[f279,f487,f748]) ).

fof(f753,definition,
    ( spl0_71
  <=> c0_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f755,plain,
    ( ~ c0_1(a333)
    | spl0_71 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f756,plain,
    ( ~ spl0_71
    | spl0_17 ),
    inference(avatar_split_clause,[],[f278,f487,f753]) ).

fof(f759,definition,
    ( spl0_72
  <=> c2_1(a419) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f762,plain,
    ( ~ spl0_72
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f98,f446,f759]) ).

fof(f764,definition,
    ( spl0_73
  <=> c1_1(a419) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f766,plain,
    ( ~ c1_1(a419)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( ~ spl0_73
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f99,f446,f764]) ).

fof(f769,definition,
    ( spl0_74
  <=> c0_1(a419) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f771,plain,
    ( ~ c0_1(a419)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f772,plain,
    ( ~ spl0_74
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f276,f446,f769]) ).

fof(f775,definition,
    ( spl0_75
  <=> c2_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f778,plain,
    ( ~ spl0_75
    | spl0_2 ),
    inference(avatar_split_clause,[],[f275,f419,f775]) ).

fof(f780,definition,
    ( spl0_76
  <=> c0_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f783,plain,
    ( spl0_76
    | spl0_2 ),
    inference(avatar_split_clause,[],[f274,f419,f780]) ).

fof(f785,definition,
    ( spl0_77
  <=> c1_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f787,plain,
    ( c1_1(a401)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f788,plain,
    ( spl0_77
    | spl0_2 ),
    inference(avatar_split_clause,[],[f273,f419,f785]) ).

fof(f789,plain,
    ( spl0_19
    | spl0_2 ),
    inference(avatar_split_clause,[],[f272,f419,f496]) ).

fof(f807,definition,
    ( spl0_81
  <=> c2_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f810,plain,
    ( ~ spl0_81
    | spl0_36 ),
    inference(avatar_split_clause,[],[f267,f569,f807]) ).

fof(f812,definition,
    ( spl0_82
  <=> c1_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f814,plain,
    ( ~ c1_1(a367)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f815,plain,
    ( ~ spl0_82
    | spl0_36 ),
    inference(avatar_split_clause,[],[f266,f569,f812]) ).

fof(f817,definition,
    ( spl0_83
  <=> c3_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f820,plain,
    ( spl0_83
    | spl0_36 ),
    inference(avatar_split_clause,[],[f265,f569,f817]) ).

fof(f823,definition,
    ( spl0_84
  <=> c2_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f826,plain,
    ( ~ spl0_84
    | spl0_48 ),
    inference(avatar_split_clause,[],[f263,f626,f823]) ).

fof(f828,definition,
    ( spl0_85
  <=> c0_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f830,plain,
    ( c0_1(a359)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f828]) ).

fof(f831,plain,
    ( spl0_85
    | spl0_48 ),
    inference(avatar_split_clause,[],[f262,f626,f828]) ).

fof(f833,definition,
    ( spl0_86
  <=> c3_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f836,plain,
    ( spl0_86
    | spl0_48 ),
    inference(avatar_split_clause,[],[f261,f626,f833]) ).

fof(f839,definition,
    ( spl0_87
  <=> c3_1(a358) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f842,plain,
    ( ~ spl0_87
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f118,f538,f839]) ).

fof(f844,definition,
    ( spl0_88
  <=> c0_1(a358) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f846,plain,
    ( c0_1(a358)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f847,plain,
    ( spl0_88
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f259,f538,f844]) ).

fof(f849,definition,
    ( spl0_89
  <=> c2_1(a358) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f852,plain,
    ( spl0_89
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f120,f538,f849]) ).

fof(f887,definition,
    ( spl0_96
  <=> c0_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f889,plain,
    ( c0_1(a353)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f890,plain,
    ( spl0_96
    | spl0_5 ),
    inference(avatar_split_clause,[],[f254,f432,f887]) ).

fof(f892,definition,
    ( spl0_97
  <=> c2_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f895,plain,
    ( spl0_97
    | spl0_5 ),
    inference(avatar_split_clause,[],[f253,f432,f892]) ).

fof(f897,definition,
    ( spl0_98
  <=> c1_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f899,plain,
    ( c1_1(a353)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f900,plain,
    ( spl0_98
    | spl0_5 ),
    inference(avatar_split_clause,[],[f252,f432,f897]) ).

fof(f903,definition,
    ( spl0_99
  <=> c2_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f906,plain,
    ( ~ spl0_99
    | spl0_9 ),
    inference(avatar_split_clause,[],[f250,f451,f903]) ).

fof(f908,definition,
    ( spl0_100
  <=> c3_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f911,plain,
    ( spl0_100
    | spl0_9 ),
    inference(avatar_split_clause,[],[f249,f451,f908]) ).

fof(f913,definition,
    ( spl0_101
  <=> c1_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f915,plain,
    ( c1_1(a349)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f913]) ).

fof(f916,plain,
    ( spl0_101
    | spl0_9 ),
    inference(avatar_split_clause,[],[f248,f451,f913]) ).

fof(f919,definition,
    ( spl0_102
  <=> c3_1(a348) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f922,plain,
    ( ~ spl0_102
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f138,f561,f919]) ).

fof(f924,definition,
    ( spl0_103
  <=> c1_1(a348) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f926,plain,
    ( ~ c1_1(a348)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f927,plain,
    ( ~ spl0_103
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f139,f561,f924]) ).

fof(f929,definition,
    ( spl0_104
  <=> c0_1(a348) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f931,plain,
    ( ~ c0_1(a348)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f932,plain,
    ( ~ spl0_104
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f246,f561,f929]) ).

fof(f935,definition,
    ( spl0_105
  <=> c1_1(a347) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f937,plain,
    ( ~ c1_1(a347)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f938,plain,
    ( ~ spl0_105
    | spl0_10 ),
    inference(avatar_split_clause,[],[f245,f456,f935]) ).

fof(f940,definition,
    ( spl0_106
  <=> c3_1(a347) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f943,plain,
    ( spl0_106
    | spl0_10 ),
    inference(avatar_split_clause,[],[f244,f456,f940]) ).

fof(f945,definition,
    ( spl0_107
  <=> c2_1(a347) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f948,plain,
    ( spl0_107
    | spl0_10 ),
    inference(avatar_split_clause,[],[f243,f456,f945]) ).

fof(f951,definition,
    ( spl0_108
  <=> c3_1(a346) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f954,plain,
    ( ~ spl0_108
    | spl0_12 ),
    inference(avatar_split_clause,[],[f241,f465,f951]) ).

fof(f956,definition,
    ( spl0_109
  <=> c2_1(a346) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f959,plain,
    ( spl0_109
    | spl0_12 ),
    inference(avatar_split_clause,[],[f240,f465,f956]) ).

fof(f961,definition,
    ( spl0_110
  <=> c0_1(a346) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f963,plain,
    ( ~ c0_1(a346)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f964,plain,
    ( ~ spl0_110
    | spl0_12 ),
    inference(avatar_split_clause,[],[f239,f465,f961]) ).

fof(f967,definition,
    ( spl0_111
  <=> c2_1(a345) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f970,plain,
    ( ~ spl0_111
    | spl0_11 ),
    inference(avatar_split_clause,[],[f237,f460,f967]) ).

fof(f972,definition,
    ( spl0_112
  <=> c3_1(a345) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f975,plain,
    ( spl0_112
    | spl0_11 ),
    inference(avatar_split_clause,[],[f236,f460,f972]) ).

fof(f977,definition,
    ( spl0_113
  <=> c0_1(a345) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f979,plain,
    ( ~ c0_1(a345)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f977]) ).

fof(f980,plain,
    ( ~ spl0_113
    | spl0_11 ),
    inference(avatar_split_clause,[],[f235,f460,f977]) ).

fof(f983,definition,
    ( spl0_114
  <=> c2_1(a338) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f986,plain,
    ( ~ spl0_114
    | spl0_3 ),
    inference(avatar_split_clause,[],[f233,f424,f983]) ).

fof(f988,definition,
    ( spl0_115
  <=> c1_1(a338) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f990,plain,
    ( ~ c1_1(a338)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f991,plain,
    ( ~ spl0_115
    | spl0_3 ),
    inference(avatar_split_clause,[],[f232,f424,f988]) ).

fof(f999,definition,
    ( spl0_117
  <=> c3_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f1002,plain,
    ( ~ spl0_117
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f158,f492,f999]) ).

fof(f1004,definition,
    ( spl0_118
  <=> c2_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1007,plain,
    ( ~ spl0_118
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f159,f492,f1004]) ).

fof(f1009,definition,
    ( spl0_119
  <=> c0_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1011,plain,
    ( ~ c0_1(a337)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1012,plain,
    ( ~ spl0_119
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f229,f492,f1009]) ).

fof(f1031,definition,
    ( spl0_123
  <=> c3_1(a332) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1034,plain,
    ( ~ spl0_123
    | spl0_6 ),
    inference(avatar_split_clause,[],[f227,f437,f1031]) ).

fof(f1036,definition,
    ( spl0_124
  <=> c2_1(a332) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1039,plain,
    ( ~ spl0_124
    | spl0_6 ),
    inference(avatar_split_clause,[],[f226,f437,f1036]) ).

fof(f1041,definition,
    ( spl0_125
  <=> c0_1(a332) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1043,plain,
    ( c0_1(a332)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1044,plain,
    ( spl0_125
    | spl0_6 ),
    inference(avatar_split_clause,[],[f225,f437,f1041]) ).

fof(f1047,definition,
    ( spl0_126
  <=> c1_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1049,plain,
    ( ~ c1_1(a330)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1050,plain,
    ( ~ spl0_126
    | spl0_1 ),
    inference(avatar_split_clause,[],[f223,f415,f1047]) ).

fof(f1052,definition,
    ( spl0_127
  <=> c0_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1055,plain,
    ( spl0_127
    | spl0_1 ),
    inference(avatar_split_clause,[],[f222,f415,f1052]) ).

fof(f1057,definition,
    ( spl0_128
  <=> c3_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1060,plain,
    ( spl0_128
    | spl0_1 ),
    inference(avatar_split_clause,[],[f221,f415,f1057]) ).

fof(f1061,plain,
    ( spl0_19
    | spl0_1 ),
    inference(avatar_split_clause,[],[f220,f415,f496]) ).

fof(f1079,definition,
    ( spl0_132
  <=> c3_1(a327) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1082,plain,
    ( ~ spl0_132
    | spl0_14 ),
    inference(avatar_split_clause,[],[f219,f474,f1079]) ).

fof(f1084,definition,
    ( spl0_133
  <=> c1_1(a327) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1086,plain,
    ( c1_1(a327)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f1087,plain,
    ( spl0_133
    | spl0_14 ),
    inference(avatar_split_clause,[],[f218,f474,f1084]) ).

fof(f1089,definition,
    ( spl0_134
  <=> c0_1(a327) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1091,plain,
    ( ~ c0_1(a327)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f1092,plain,
    ( ~ spl0_134
    | spl0_14 ),
    inference(avatar_split_clause,[],[f217,f474,f1089]) ).

fof(f1095,definition,
    ( spl0_135
  <=> c1_1(a326) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1097,plain,
    ( ~ c1_1(a326)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f1095]) ).

fof(f1098,plain,
    ( ~ spl0_135
    | spl0_13 ),
    inference(avatar_split_clause,[],[f215,f469,f1095]) ).

fof(f1100,definition,
    ( spl0_136
  <=> c2_1(a326) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1103,plain,
    ( spl0_136
    | spl0_13 ),
    inference(avatar_split_clause,[],[f214,f469,f1100]) ).

fof(f1105,definition,
    ( spl0_137
  <=> c0_1(a326) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1108,plain,
    ( ~ spl0_137
    | spl0_13 ),
    inference(avatar_split_clause,[],[f213,f469,f1105]) ).

fof(f1111,definition,
    ( spl0_138
  <=> c2_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1114,plain,
    ( ~ spl0_138
    | spl0_15 ),
    inference(avatar_split_clause,[],[f211,f478,f1111]) ).

fof(f1116,definition,
    ( spl0_139
  <=> c1_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1118,plain,
    ( c1_1(a325)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1119,plain,
    ( spl0_139
    | spl0_15 ),
    inference(avatar_split_clause,[],[f210,f478,f1116]) ).

fof(f1121,definition,
    ( spl0_140
  <=> c0_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1123,plain,
    ( ~ c0_1(a325)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1124,plain,
    ( ~ spl0_140
    | spl0_15 ),
    inference(avatar_split_clause,[],[f209,f478,f1121]) ).

fof(f1143,definition,
    ( spl0_144
  <=> c3_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1146,plain,
    ( ~ spl0_144
    | spl0_7 ),
    inference(avatar_split_clause,[],[f206,f442,f1143]) ).

fof(f1148,definition,
    ( spl0_145
  <=> c2_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1151,plain,
    ( ~ spl0_145
    | spl0_7 ),
    inference(avatar_split_clause,[],[f205,f442,f1148]) ).

fof(f1153,definition,
    ( spl0_146
  <=> c1_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1155,plain,
    ( ~ c1_1(a323)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1153]) ).

fof(f1156,plain,
    ( ~ spl0_146
    | spl0_7 ),
    inference(avatar_split_clause,[],[f204,f442,f1153]) ).

fof(f1174,plain,
    ( ~ c3_1(a333)
    | ~ c2_1(a333)
    | ~ spl0_20
    | ~ spl0_70 ),
    inference(resolution,[],[f501,f750]) ).

fof(f1175,plain,
    ( ~ c3_1(a353)
    | ~ c2_1(a353)
    | ~ spl0_20
    | ~ spl0_98 ),
    inference(resolution,[],[f501,f899]) ).

fof(f1178,definition,
    ( spl0_150
  <=> c3_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1181,plain,
    ( ~ spl0_97
    | ~ spl0_150
    | ~ spl0_20
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1175,f897,f500,f1178,f892]) ).

fof(f1183,definition,
    ( spl0_151
  <=> c2_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1186,plain,
    ( ~ spl0_151
    | ~ spl0_69
    | ~ spl0_20
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1174,f748,f500,f743,f1183]) ).

fof(f1191,definition,
    ( spl0_152
  <=> c2_1(a327) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1196,plain,
    ( ~ c2_1(a353)
    | c3_1(a353)
    | ~ spl0_25
    | ~ spl0_98 ),
    inference(resolution,[],[f521,f899]) ).

fof(f1198,plain,
    ( spl0_150
    | ~ spl0_97
    | ~ spl0_25
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1196,f897,f520,f892,f1178]) ).

fof(f1203,plain,
    ( ~ c2_1(a327)
    | c3_1(a327)
    | ~ spl0_26
    | spl0_134 ),
    inference(resolution,[],[f525,f1091]) ).

fof(f1209,plain,
    ( ~ c2_1(a346)
    | c3_1(a346)
    | ~ spl0_26
    | spl0_110 ),
    inference(resolution,[],[f525,f963]) ).

fof(f1210,plain,
    ( ~ c2_1(a348)
    | c3_1(a348)
    | ~ spl0_26
    | spl0_104 ),
    inference(resolution,[],[f525,f931]) ).

fof(f1217,plain,
    ( ~ c2_1(a343)
    | c3_1(a343)
    | ~ spl0_26
    | spl0_65 ),
    inference(resolution,[],[f525,f723]) ).

fof(f1224,definition,
    ( spl0_154
  <=> c2_1(a348) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1227,plain,
    ( spl0_102
    | ~ spl0_154
    | ~ spl0_26
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1210,f929,f524,f1224,f919]) ).

fof(f1228,plain,
    ( spl0_108
    | ~ spl0_109
    | ~ spl0_26
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1209,f961,f524,f956,f951]) ).

fof(f1234,plain,
    ( ~ c3_1(a333)
    | c2_1(a333)
    | ~ spl0_27
    | ~ spl0_70 ),
    inference(resolution,[],[f531,f750]) ).

fof(f1239,definition,
    ( spl0_156
  <=> c3_1(a343) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1242,plain,
    ( spl0_156
    | ~ spl0_63
    | ~ spl0_26
    | spl0_65 ),
    inference(avatar_split_clause,[],[f1217,f721,f524,f711,f1239]) ).

fof(f1243,plain,
    ( ~ c2_1(a343)
    | c0_1(a343)
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(resolution,[],[f718,f513]) ).

fof(f1244,plain,
    ( ~ c3_1(a343)
    | ~ c2_1(a343)
    | ~ spl0_20
    | ~ spl0_64 ),
    inference(resolution,[],[f718,f501]) ).

fof(f1245,plain,
    ( ~ spl0_63
    | ~ spl0_156
    | ~ spl0_20
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1244,f716,f500,f1239,f711]) ).

fof(f1246,plain,
    ( spl0_65
    | ~ spl0_63
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1243,f716,f512,f711,f721]) ).

fof(f1247,plain,
    ( spl0_151
    | ~ spl0_69
    | ~ spl0_27
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1234,f748,f530,f743,f1183]) ).

fof(f1252,plain,
    ( ~ c3_1(a401)
    | c2_1(a401)
    | ~ spl0_27
    | ~ spl0_77 ),
    inference(resolution,[],[f531,f787]) ).

fof(f1256,definition,
    ( spl0_157
  <=> c3_1(a401) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1259,plain,
    ( spl0_75
    | ~ spl0_157
    | ~ spl0_27
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1252,f785,f530,f1256,f775]) ).

fof(f1260,plain,
    ( c2_1(a327)
    | c0_1(a327)
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(resolution,[],[f535,f1086]) ).

fof(f1267,plain,
    ( spl0_134
    | spl0_152
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1260,f1084,f534,f1191,f1089]) ).

fof(f1268,plain,
    ( c3_1(a327)
    | c0_1(a327)
    | ~ spl0_30
    | ~ spl0_133 ),
    inference(resolution,[],[f544,f1086]) ).

fof(f1272,plain,
    ( c3_1(a343)
    | c0_1(a343)
    | ~ spl0_30
    | ~ spl0_64 ),
    inference(resolution,[],[f544,f718]) ).

fof(f1273,plain,
    ( spl0_65
    | spl0_156
    | ~ spl0_30
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1272,f716,f543,f1239,f721]) ).

fof(f1275,plain,
    ( spl0_134
    | spl0_132
    | ~ spl0_30
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1268,f1084,f543,f1079,f1089]) ).

fof(f1278,plain,
    ( c2_1(a325)
    | c3_1(a325)
    | ~ spl0_31
    | spl0_140 ),
    inference(resolution,[],[f548,f1123]) ).

fof(f1280,plain,
    ( c2_1(a327)
    | c3_1(a327)
    | ~ spl0_31
    | spl0_134 ),
    inference(resolution,[],[f548,f1091]) ).

fof(f1282,plain,
    ( c2_1(a337)
    | c3_1(a337)
    | ~ spl0_31
    | spl0_119 ),
    inference(resolution,[],[f548,f1011]) ).

fof(f1285,plain,
    ( c2_1(a348)
    | c3_1(a348)
    | ~ spl0_31
    | spl0_104 ),
    inference(resolution,[],[f548,f931]) ).

fof(f1295,definition,
    ( spl0_158
  <=> c3_1(a419) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1304,definition,
    ( spl0_159
  <=> c3_1(a338) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1321,definition,
    ( spl0_162
  <=> c3_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1329,plain,
    ( ~ c3_1(a341)
    | ~ c2_1(a341)
    | ~ spl0_20
    | ~ spl0_68 ),
    inference(resolution,[],[f739,f501]) ).

fof(f1330,plain,
    ( ~ spl0_67
    | ~ spl0_66
    | ~ spl0_20
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1329,f737,f500,f727,f732]) ).

fof(f1336,plain,
    ( spl0_162
    | spl0_138
    | ~ spl0_31
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1278,f1121,f547,f1111,f1321]) ).

fof(f1338,plain,
    ( spl0_132
    | spl0_152
    | ~ spl0_31
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1280,f1089,f547,f1191,f1079]) ).

fof(f1340,plain,
    ( spl0_117
    | spl0_118
    | ~ spl0_31
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1282,f1009,f547,f1004,f999]) ).

fof(f1342,plain,
    ( spl0_102
    | spl0_154
    | ~ spl0_31
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1285,f929,f547,f1224,f919]) ).

fof(f1348,plain,
    ( spl0_132
    | ~ spl0_152
    | ~ spl0_26
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1203,f1089,f524,f1191,f1079]) ).

fof(f1351,plain,
    ( ~ c3_1(a349)
    | c2_1(a349)
    | ~ spl0_27
    | ~ spl0_101 ),
    inference(resolution,[],[f915,f531]) ).

fof(f1365,plain,
    ( ~ c3_1(a343)
    | ~ c2_1(a343)
    | ~ spl0_21
    | spl0_65 ),
    inference(resolution,[],[f505,f723]) ).

fof(f1376,plain,
    ( ~ c3_1(a325)
    | c0_1(a325)
    | ~ spl0_22
    | ~ spl0_139 ),
    inference(resolution,[],[f509,f1118]) ).

fof(f1382,plain,
    ( ~ c3_1(a343)
    | c0_1(a343)
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(resolution,[],[f509,f718]) ).

fof(f1389,plain,
    ( spl0_140
    | ~ spl0_162
    | ~ spl0_22
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1376,f1116,f508,f1321,f1121]) ).

fof(f1391,plain,
    ( c2_1(a325)
    | c0_1(a325)
    | ~ spl0_28
    | ~ spl0_139 ),
    inference(resolution,[],[f535,f1118]) ).

fof(f1405,plain,
    ( ~ c3_1(a345)
    | c2_1(a345)
    | ~ spl0_33
    | spl0_113 ),
    inference(resolution,[],[f558,f979]) ).

fof(f1408,plain,
    ( ~ c3_1(a419)
    | c2_1(a419)
    | ~ spl0_33
    | spl0_74 ),
    inference(resolution,[],[f558,f771]) ).

fof(f1418,plain,
    ( spl0_140
    | spl0_138
    | ~ spl0_28
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1391,f1116,f534,f1111,f1121]) ).

fof(f1436,plain,
    ( ~ c3_1(a330)
    | ~ c2_1(a330)
    | ~ spl0_35
    | spl0_126 ),
    inference(resolution,[],[f566,f1049]) ).

fof(f1439,plain,
    ( ~ c3_1(a347)
    | ~ c2_1(a347)
    | ~ spl0_35
    | spl0_105 ),
    inference(resolution,[],[f566,f937]) ).

fof(f1448,definition,
    ( spl0_165
  <=> c2_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1471,definition,
    ( spl0_166
  <=> c0_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1472,plain,
    ( ~ c0_1(a367)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1471]) ).

fof(f1473,plain,
    ( c0_1(a367)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1471]) ).

fof(f1480,plain,
    ( ~ c2_1(a326)
    | c0_1(a326)
    | ~ spl0_39
    | spl0_135 ),
    inference(resolution,[],[f585,f1097]) ).

fof(f1504,plain,
    ( ~ c3_1(a367)
    | c2_1(a367)
    | ~ spl0_33
    | spl0_166 ),
    inference(resolution,[],[f1472,f558]) ).

fof(f1506,plain,
    ( spl0_81
    | ~ spl0_83
    | ~ spl0_33
    | spl0_166 ),
    inference(avatar_split_clause,[],[f1504,f1471,f557,f817,f807]) ).

fof(f1536,plain,
    ( ~ spl0_63
    | ~ spl0_156
    | ~ spl0_21
    | spl0_65 ),
    inference(avatar_split_clause,[],[f1365,f721,f504,f1239,f711]) ).

fof(f1537,plain,
    ( spl0_99
    | ~ spl0_100
    | ~ spl0_27
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1351,f913,f530,f908,f903]) ).

fof(f1538,plain,
    ( spl0_137
    | ~ spl0_136
    | ~ spl0_39
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1480,f1095,f584,f1100,f1105]) ).

fof(f1559,plain,
    ( ~ c3_1(a333)
    | ~ c2_1(a333)
    | ~ spl0_21
    | spl0_71 ),
    inference(resolution,[],[f505,f755]) ).

fof(f1561,plain,
    ( ~ spl0_151
    | ~ spl0_69
    | ~ spl0_21
    | spl0_71 ),
    inference(avatar_split_clause,[],[f1559,f753,f504,f743,f1183]) ).

fof(f1596,plain,
    ( c0_1(a348)
    | c3_1(a348)
    | ~ spl0_43
    | spl0_103 ),
    inference(resolution,[],[f604,f926]) ).

fof(f1601,plain,
    ( c0_1(a419)
    | c3_1(a419)
    | ~ spl0_43
    | spl0_73 ),
    inference(resolution,[],[f604,f766]) ).

fof(f1603,plain,
    ( spl0_158
    | spl0_74
    | ~ spl0_43
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1601,f764,f603,f769,f1295]) ).

fof(f1614,plain,
    ( spl0_102
    | spl0_104
    | ~ spl0_43
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1596,f924,f603,f929,f919]) ).

fof(f1634,plain,
    ( ~ c3_1(a330)
    | c2_1(a330)
    | ~ spl0_44
    | spl0_126 ),
    inference(resolution,[],[f608,f1049]) ).

fof(f1636,plain,
    ( ~ c3_1(a338)
    | c2_1(a338)
    | ~ spl0_44
    | spl0_115 ),
    inference(resolution,[],[f608,f990]) ).

fof(f1640,plain,
    ( ~ c3_1(a367)
    | c2_1(a367)
    | ~ spl0_44
    | spl0_82 ),
    inference(resolution,[],[f608,f814]) ).

fof(f1664,plain,
    ( c0_1(a419)
    | c2_1(a419)
    | ~ spl0_45
    | spl0_73 ),
    inference(resolution,[],[f613,f766]) ).

fof(f1678,plain,
    ( c3_1(a323)
    | c2_1(a323)
    | ~ spl0_47
    | spl0_146 ),
    inference(resolution,[],[f622,f1155]) ).

fof(f1685,plain,
    ( c3_1(a338)
    | c2_1(a338)
    | ~ spl0_47
    | spl0_115 ),
    inference(resolution,[],[f622,f990]) ).

fof(f1691,plain,
    ( c3_1(a419)
    | c2_1(a419)
    | ~ spl0_47
    | spl0_73 ),
    inference(resolution,[],[f622,f766]) ).

fof(f1694,plain,
    ( spl0_72
    | spl0_158
    | ~ spl0_47
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1691,f764,f621,f1295,f759]) ).

fof(f1702,plain,
    ( spl0_145
    | spl0_144
    | ~ spl0_47
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1678,f1153,f621,f1143,f1148]) ).

fof(f1716,plain,
    ( ~ c3_1(a353)
    | ~ c2_1(a353)
    | ~ spl0_49
    | ~ spl0_96 ),
    inference(resolution,[],[f634,f889]) ).

fof(f1776,plain,
    ( ~ c2_1(a358)
    | c3_1(a358)
    | ~ spl0_53
    | ~ spl0_88 ),
    inference(resolution,[],[f654,f846]) ).

fof(f1785,plain,
    ( spl0_87
    | ~ spl0_89
    | ~ spl0_53
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1776,f844,f653,f849,f839]) ).

fof(f1793,plain,
    ( ~ c0_1(a353)
    | c3_1(a353)
    | ~ spl0_54
    | ~ spl0_98 ),
    inference(resolution,[],[f659,f899]) ).

fof(f1795,plain,
    ( ~ c0_1(a401)
    | c3_1(a401)
    | ~ spl0_54
    | ~ spl0_77 ),
    inference(resolution,[],[f659,f787]) ).

fof(f1801,plain,
    ( spl0_150
    | ~ spl0_96
    | ~ spl0_54
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1793,f897,f658,f887,f1178]) ).

fof(f1857,plain,
    ( ~ c3_1(a359)
    | c2_1(a359)
    | ~ spl0_56
    | ~ spl0_85 ),
    inference(resolution,[],[f667,f830]) ).

fof(f1858,plain,
    ( ~ c3_1(a367)
    | c2_1(a367)
    | ~ spl0_56
    | ~ spl0_166 ),
    inference(resolution,[],[f667,f1473]) ).

fof(f1864,plain,
    ( spl0_81
    | ~ spl0_83
    | ~ spl0_56
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1858,f1471,f666,f817,f807]) ).

fof(f1865,plain,
    ( spl0_84
    | ~ spl0_86
    | ~ spl0_56
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1857,f828,f666,f833,f823]) ).

fof(f1869,plain,
    ( spl0_114
    | spl0_159
    | ~ spl0_47
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1685,f988,f621,f1304,f983]) ).

fof(f1899,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_47
    | ~ spl0_57 ),
    inference(resolution,[],[f674,f622]) ).

fof(f1909,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_47
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f1899]) ).

fof(f1914,plain,
    ( c3_1(a332)
    | c2_1(a332)
    | ~ spl0_58
    | ~ spl0_125 ),
    inference(resolution,[],[f683,f1043]) ).

fof(f1926,plain,
    ( spl0_124
    | spl0_123
    | ~ spl0_58
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1914,f1041,f682,f1031,f1036]) ).

fof(f1928,plain,
    ( spl0_58
    | ~ spl0_47
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1909,f673,f621,f682]) ).

fof(f1929,plain,
    ( ~ spl0_165
    | ~ spl0_128
    | ~ spl0_35
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1436,f1047,f565,f1057,f1448]) ).

fof(f1932,plain,
    ( ~ spl0_107
    | ~ spl0_106
    | ~ spl0_35
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1439,f935,f565,f940,f945]) ).

fof(f1933,plain,
    ( spl0_65
    | ~ spl0_156
    | ~ spl0_22
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1382,f716,f508,f1239,f721]) ).

fof(f1959,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(resolution,[],[f687,f674]) ).

fof(f1965,plain,
    ( ~ c3_1(a330)
    | ~ c0_1(a330)
    | ~ spl0_59
    | spl0_126 ),
    inference(resolution,[],[f687,f1049]) ).

fof(f1977,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f1959]) ).

fof(f1978,plain,
    ( ~ spl0_127
    | ~ spl0_128
    | ~ spl0_59
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1965,f1047,f686,f1057,f1052]) ).

fof(f1980,plain,
    ( spl0_56
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1977,f686,f673,f666]) ).

fof(f1981,plain,
    ( spl0_111
    | ~ spl0_112
    | ~ spl0_33
    | spl0_113 ),
    inference(avatar_split_clause,[],[f1405,f977,f557,f972,f967]) ).

fof(f1982,plain,
    ( spl0_72
    | ~ spl0_158
    | ~ spl0_33
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1408,f769,f557,f1295,f759]) ).

fof(f1995,plain,
    ( spl0_165
    | ~ spl0_128
    | ~ spl0_44
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1634,f1047,f607,f1057,f1448]) ).

fof(f1996,plain,
    ( spl0_114
    | ~ spl0_159
    | ~ spl0_44
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1636,f988,f607,f1304,f983]) ).

fof(f1997,plain,
    ( spl0_81
    | ~ spl0_83
    | ~ spl0_44
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1640,f812,f607,f817,f807]) ).

fof(f2001,plain,
    ( spl0_72
    | spl0_74
    | ~ spl0_45
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1664,f764,f612,f769,f759]) ).

fof(f2002,plain,
    ( spl0_157
    | ~ spl0_76
    | ~ spl0_54
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1795,f785,f658,f780,f1256]) ).

fof(f2035,plain,
    ( ~ c2_1(a343)
    | c3_1(a343)
    | ~ spl0_25
    | ~ spl0_64 ),
    inference(resolution,[],[f521,f718]) ).

fof(f2037,plain,
    ( spl0_156
    | ~ spl0_63
    | ~ spl0_25
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2035,f716,f520,f711,f1239]) ).

fof(f2045,plain,
    ( ~ spl0_97
    | ~ spl0_150
    | ~ spl0_49
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1716,f887,f633,f1178,f892]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s4,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s5,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s6,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s11,plain,
    ( ~ spl0_9
    | ~ spl0_14
    | ~ spl0_19
    | spl0_21 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s12,plain,
    ( spl0_18
    | ~ spl0_19
    | spl0_20
    | spl0_22 ),
    inference(sat_conversion,[],[f510]) ).

cnf(s14,plain,
    ( ~ spl0_1
    | ~ spl0_19
    | ~ spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s17,plain,
    ( ~ spl0_15
    | spl0_18
    | ~ spl0_19
    | spl0_26 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s18,plain,
    ( ~ spl0_19
    | ~ spl0_24
    | spl0_27 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s20,plain,
    ( ~ spl0_19
    | spl0_20
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s21,plain,
    ( ~ spl0_6
    | ~ spl0_19
    | spl0_28
    | spl0_30 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s22,plain,
    ( ~ spl0_6
    | ~ spl0_15
    | ~ spl0_19
    | spl0_31 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s25,plain,
    ( ~ spl0_19
    | spl0_21
    | spl0_31
    | spl0_33 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s26,plain,
    ( ~ spl0_19
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s27,plain,
    ( ~ spl0_19
    | spl0_20
    | spl0_35
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s28,plain,
    ( ~ spl0_5
    | ~ spl0_19
    | spl0_28
    | spl0_35 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s36,plain,
    ( ~ spl0_19
    | spl0_31
    | ~ spl0_36
    | spl0_43 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s37,plain,
    ( ~ spl0_19
    | spl0_23
    | spl0_27
    | spl0_44 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s39,plain,
    ( ~ spl0_1
    | ~ spl0_19
    | ~ spl0_36
    | spl0_45 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s41,plain,
    ( ~ spl0_9
    | ~ spl0_19
    | spl0_34
    | spl0_47 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s42,plain,
    ( ~ spl0_10
    | ~ spl0_14
    | ~ spl0_19
    | spl0_47 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s43,plain,
    ( ~ spl0_19
    | spl0_30
    | spl0_47
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s45,plain,
    ( ~ spl0_11
    | ~ spl0_19
    | spl0_44
    | spl0_47 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s48,plain,
    ( ~ spl0_13
    | ~ spl0_19
    | spl0_26
    | spl0_49 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s53,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | ~ spl0_19
    | spl0_53 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s55,plain,
    ( ~ spl0_17
    | ~ spl0_19
    | spl0_33
    | spl0_54 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s58,plain,
    ( ~ spl0_19
    | spl0_35
    | spl0_45
    | spl0_56 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s59,plain,
    ( ~ spl0_1
    | ~ spl0_19
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s60,plain,
    ( ~ spl0_19
    | ~ spl0_32
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s62,plain,
    ( ~ spl0_19
    | spl0_23
    | spl0_25
    | spl0_57 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s65,plain,
    ( ~ spl0_19
    | spl0_31
    | spl0_39
    | spl0_57 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s68,plain,
    ( ~ spl0_1
    | ~ spl0_19
    | spl0_23
    | spl0_59 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s70,plain,
    ( ~ spl0_17
    | ~ spl0_19
    | spl0_45
    | spl0_59 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s81,plain,
    ( spl0_24
    | spl0_63 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s82,plain,
    ( spl0_24
    | spl0_64 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s83,plain,
    ( spl0_24
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s85,plain,
    ( spl0_32
    | spl0_66 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s86,plain,
    ( spl0_32
    | spl0_67 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s87,plain,
    ( spl0_32
    | spl0_68 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s89,plain,
    ( spl0_17
    | spl0_69 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s90,plain,
    ( spl0_17
    | spl0_70 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s91,plain,
    ( spl0_17
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s93,plain,
    ( ~ spl0_8
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s94,plain,
    ( ~ spl0_8
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s95,plain,
    ( ~ spl0_8
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s97,plain,
    ( spl0_2
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s98,plain,
    ( spl0_2
    | spl0_76 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s99,plain,
    ( spl0_2
    | spl0_77 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s100,plain,
    ( spl0_2
    | spl0_19 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s105,plain,
    ( spl0_36
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s106,plain,
    ( spl0_36
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s107,plain,
    ( spl0_36
    | spl0_83 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s109,plain,
    ( spl0_48
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s110,plain,
    ( spl0_48
    | spl0_85 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s111,plain,
    ( spl0_48
    | spl0_86 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s113,plain,
    ( ~ spl0_29
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s114,plain,
    ( ~ spl0_29
    | spl0_88 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s115,plain,
    ( ~ spl0_29
    | spl0_89 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s125,plain,
    ( spl0_5
    | spl0_96 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s126,plain,
    ( spl0_5
    | spl0_97 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s127,plain,
    ( spl0_5
    | spl0_98 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s129,plain,
    ( spl0_9
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s130,plain,
    ( spl0_9
    | spl0_100 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s131,plain,
    ( spl0_9
    | spl0_101 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s133,plain,
    ( ~ spl0_34
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s134,plain,
    ( ~ spl0_34
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s135,plain,
    ( ~ spl0_34
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s137,plain,
    ( spl0_10
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s138,plain,
    ( spl0_10
    | spl0_106 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s139,plain,
    ( spl0_10
    | spl0_107 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s141,plain,
    ( spl0_12
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s142,plain,
    ( spl0_12
    | spl0_109 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s143,plain,
    ( spl0_12
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s145,plain,
    ( spl0_11
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s146,plain,
    ( spl0_11
    | spl0_112 ),
    inference(sat_conversion,[],[f975]) ).

cnf(s147,plain,
    ( spl0_11
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s149,plain,
    ( spl0_3
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s150,plain,
    ( spl0_3
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s153,plain,
    ( ~ spl0_18
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s154,plain,
    ( ~ spl0_18
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s155,plain,
    ( ~ spl0_18
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s161,plain,
    ( spl0_6
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s162,plain,
    ( spl0_6
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s163,plain,
    ( spl0_6
    | spl0_125 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s165,plain,
    ( spl0_1
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s166,plain,
    ( spl0_1
    | spl0_127 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s167,plain,
    ( spl0_1
    | spl0_128 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s168,plain,
    ( spl0_1
    | spl0_19 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s173,plain,
    ( spl0_14
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s174,plain,
    ( spl0_14
    | spl0_133 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s175,plain,
    ( spl0_14
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s177,plain,
    ( spl0_13
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s178,plain,
    ( spl0_13
    | spl0_136 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s179,plain,
    ( spl0_13
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s181,plain,
    ( spl0_15
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s182,plain,
    ( spl0_15
    | spl0_139 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s183,plain,
    ( spl0_15
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s189,plain,
    ( spl0_7
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s190,plain,
    ( spl0_7
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s191,plain,
    ( spl0_7
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s197,plain,
    ( ~ spl0_20
    | ~ spl0_97
    | ~ spl0_98
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1181]) ).

cnf(s198,plain,
    ( ~ spl0_20
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1186]) ).

cnf(s200,plain,
    ( ~ spl0_25
    | ~ spl0_97
    | ~ spl0_98
    | spl0_150 ),
    inference(sat_conversion,[],[f1198]) ).

cnf(s202,plain,
    ( ~ spl0_26
    | spl0_102
    | spl0_104
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1227]) ).

cnf(s203,plain,
    ( ~ spl0_26
    | spl0_108
    | ~ spl0_109
    | spl0_110 ),
    inference(sat_conversion,[],[f1228]) ).

cnf(s206,plain,
    ( ~ spl0_26
    | ~ spl0_63
    | spl0_65
    | spl0_156 ),
    inference(sat_conversion,[],[f1242]) ).

cnf(s207,plain,
    ( ~ spl0_20
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1245]) ).

cnf(s208,plain,
    ( ~ spl0_23
    | ~ spl0_63
    | ~ spl0_64
    | spl0_65 ),
    inference(sat_conversion,[],[f1246]) ).

cnf(s209,plain,
    ( ~ spl0_27
    | ~ spl0_69
    | ~ spl0_70
    | spl0_151 ),
    inference(sat_conversion,[],[f1247]) ).

cnf(s210,plain,
    ( ~ spl0_27
    | spl0_75
    | ~ spl0_77
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1259]) ).

cnf(s213,plain,
    ( ~ spl0_28
    | ~ spl0_133
    | spl0_134
    | spl0_152 ),
    inference(sat_conversion,[],[f1267]) ).

cnf(s214,plain,
    ( ~ spl0_30
    | ~ spl0_64
    | spl0_65
    | spl0_156 ),
    inference(sat_conversion,[],[f1273]) ).

cnf(s216,plain,
    ( ~ spl0_30
    | spl0_132
    | ~ spl0_133
    | spl0_134 ),
    inference(sat_conversion,[],[f1275]) ).

cnf(s232,plain,
    ( ~ spl0_20
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f1330]) ).

cnf(s234,plain,
    ( ~ spl0_31
    | spl0_138
    | spl0_140
    | spl0_162 ),
    inference(sat_conversion,[],[f1336]) ).

cnf(s236,plain,
    ( ~ spl0_31
    | spl0_132
    | spl0_134
    | spl0_152 ),
    inference(sat_conversion,[],[f1338]) ).

cnf(s238,plain,
    ( ~ spl0_31
    | spl0_117
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f1340]) ).

cnf(s240,plain,
    ( ~ spl0_31
    | spl0_102
    | spl0_104
    | spl0_154 ),
    inference(sat_conversion,[],[f1342]) ).

cnf(s246,plain,
    ( ~ spl0_26
    | spl0_132
    | spl0_134
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1348]) ).

cnf(s260,plain,
    ( ~ spl0_22
    | ~ spl0_139
    | spl0_140
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1389]) ).

cnf(s271,plain,
    ( ~ spl0_28
    | spl0_138
    | ~ spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f1418]) ).

cnf(s284,plain,
    ( ~ spl0_33
    | spl0_81
    | ~ spl0_83
    | spl0_166 ),
    inference(sat_conversion,[],[f1506]) ).

cnf(s287,plain,
    ( ~ spl0_21
    | ~ spl0_63
    | spl0_65
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1536]) ).

cnf(s288,plain,
    ( ~ spl0_27
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1537]) ).

cnf(s289,plain,
    ( ~ spl0_39
    | spl0_135
    | ~ spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s293,plain,
    ( ~ spl0_21
    | ~ spl0_69
    | spl0_71
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1561]) ).

cnf(s295,plain,
    ( ~ spl0_43
    | spl0_73
    | spl0_74
    | spl0_158 ),
    inference(sat_conversion,[],[f1603]) ).

cnf(s298,plain,
    ( ~ spl0_43
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f1614]) ).

cnf(s317,plain,
    ( ~ spl0_47
    | spl0_72
    | spl0_73
    | spl0_158 ),
    inference(sat_conversion,[],[f1694]) ).

cnf(s325,plain,
    ( ~ spl0_47
    | spl0_144
    | spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f1702]) ).

cnf(s341,plain,
    ( ~ spl0_53
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1785]) ).

cnf(s347,plain,
    ( ~ spl0_54
    | ~ spl0_96
    | ~ spl0_98
    | spl0_150 ),
    inference(sat_conversion,[],[f1801]) ).

cnf(s353,plain,
    ( ~ spl0_56
    | spl0_81
    | ~ spl0_83
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1864]) ).

cnf(s354,plain,
    ( ~ spl0_56
    | spl0_84
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s358,plain,
    ( ~ spl0_47
    | spl0_114
    | spl0_115
    | spl0_159 ),
    inference(sat_conversion,[],[f1869]) ).

cnf(s363,plain,
    ( ~ spl0_58
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1926]) ).

cnf(s365,plain,
    ( ~ spl0_47
    | ~ spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f1928]) ).

cnf(s366,plain,
    ( ~ spl0_35
    | spl0_126
    | ~ spl0_128
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1929]) ).

cnf(s369,plain,
    ( ~ spl0_35
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1932]) ).

cnf(s370,plain,
    ( ~ spl0_22
    | ~ spl0_64
    | spl0_65
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1933]) ).

cnf(s371,plain,
    ( ~ spl0_59
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1978]) ).

cnf(s373,plain,
    ( spl0_56
    | ~ spl0_57
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1980]) ).

cnf(s374,plain,
    ( ~ spl0_33
    | spl0_111
    | ~ spl0_112
    | spl0_113 ),
    inference(sat_conversion,[],[f1981]) ).

cnf(s375,plain,
    ( ~ spl0_33
    | spl0_72
    | spl0_74
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1982]) ).

cnf(s388,plain,
    ( ~ spl0_44
    | spl0_126
    | ~ spl0_128
    | spl0_165 ),
    inference(sat_conversion,[],[f1995]) ).

cnf(s389,plain,
    ( ~ spl0_44
    | spl0_114
    | spl0_115
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1996]) ).

cnf(s390,plain,
    ( ~ spl0_44
    | spl0_81
    | spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f1997]) ).

cnf(s394,plain,
    ( ~ spl0_45
    | spl0_72
    | spl0_73
    | spl0_74 ),
    inference(sat_conversion,[],[f2001]) ).

cnf(s395,plain,
    ( ~ spl0_54
    | ~ spl0_76
    | ~ spl0_77
    | spl0_157 ),
    inference(sat_conversion,[],[f2002]) ).

cnf(s399,plain,
    ( ~ spl0_25
    | ~ spl0_63
    | ~ spl0_64
    | spl0_156 ),
    inference(sat_conversion,[],[f2037]) ).

cnf(s407,plain,
    ( ~ spl0_49
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f2045]) ).

cnf(s409,plain,
    ( ~ spl0_20
    | spl0_56
    | spl0_5
    | ~ spl0_19 ),
    inference(rat,[],[s232,s85,s86,s87,s60,s347,s197,s127,s126,s125]) ).

cnf(s410,plain,
    ( spl0_36
    | ~ spl0_44 ),
    inference(rat,[],[s390,s105,s106,s107]) ).

cnf(s411,plain,
    ( spl0_27
    | spl0_47
    | spl0_5
    | spl0_1 ),
    inference(rat,[],[s354,s109,s110,s111,s43,s214,s409,s207,s27,s410,s366,s388,s37,s208,s81,s82,s83,s18,s168,s167,s165]) ).

cnf(s412,plain,
    ( spl0_17
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(rat,[],[s198,s209,s89,s90]) ).

cnf(s413,plain,
    ( spl0_48
    | ~ spl0_56 ),
    inference(rat,[],[s354,s109,s110,s111]) ).

cnf(s414,plain,
    ( ~ spl0_8
    | ~ spl0_45 ),
    inference(rat,[],[s394,s93,s94,s95]) ).

cnf(s415,plain,
    ( spl0_9
    | ~ spl0_27 ),
    inference(rat,[],[s129,s288,s130,s131]) ).

cnf(s416,plain,
    ( spl0_18
    | spl0_26
    | ~ spl0_31
    | spl0_20
    | ~ spl0_19 ),
    inference(rat,[],[s234,s260,s181,s182,s183,s12,s17]) ).

cnf(s417,plain,
    ( spl0_26
    | ~ spl0_31
    | ~ spl0_19
    | spl0_20 ),
    inference(rat,[],[s238,s153,s154,s155,s416]) ).

cnf(s418,plain,
    ( spl0_47
    | spl0_5
    | spl0_1 ),
    inference(rat,[],[s417,s202,s240,s25,s374,s145,s146,s147,s45,s388,s366,s58,s413,s43,s216,s173,s174,s175,s11,s293,s209,s412,s89,s90,s91,s70,s133,s135,s414,s41,s5,s415,s411,s168,s371,s165,s166,s167]) ).

cnf(s420,plain,
    ( spl0_27
    | spl0_44
    | ~ spl0_19 ),
    inference(rat,[],[s208,s81,s82,s83,s37,s18]) ).

cnf(s425,plain,
    ( spl0_15
    | ~ spl0_28 ),
    inference(rat,[],[s271,s181,s182,s183]) ).

cnf(s426,plain,
    ( spl0_27
    | ~ spl0_5
    | spl0_1 ),
    inference(rat,[],[s238,s153,s154,s155,s17,s425,s36,s206,s298,s207,s133,s134,s135,s28,s27,s26,s366,s410,s388,s81,s82,s83,s420,s18,s168,s167,s165]) ).

cnf(s427,plain,
    ( ~ spl0_31
    | spl0_132
    | spl0_134
    | spl0_20
    | ~ spl0_19 ),
    inference(rat,[],[s246,s236,s417]) ).

cnf(s428,plain,
    ( ~ spl0_27
    | spl0_1 ),
    inference(rat,[],[s374,s145,s146,s147,s45,s410,s36,s317,s295,s375,s25,s427,s173,s175,s11,s293,s209,s412,s89,s90,s91,s70,s414,s93,s94,s95,s5,s415,s168,s371,s165,s166,s167]) ).

cnf(s429,plain,
    ( spl0_6
    | ~ spl0_58 ),
    inference(rat,[],[s363,s161,s162,s163]) ).

cnf(s430,plain,
    spl0_1,
    inference(rat,[],[s238,s153,s154,s155,s17,s425,s21,s429,s365,s62,s36,s214,s206,s399,s298,s207,s133,s134,s135,s27,s26,s366,s208,s418,s410,s388,s81,s82,s83,s426,s420,s18,s428,s165,s167,s168]) ).

cnf(s431,plain,
    ~ spl0_2,
    inference(rat,[],[s1,s430]) ).

cnf(s432,plain,
    spl0_19,
    inference(rat,[],[s100,s431]) ).

cnf(s433,plain,
    spl0_77,
    inference(rat,[],[s99,s431]) ).

cnf(s434,plain,
    spl0_76,
    inference(rat,[],[s98,s431]) ).

cnf(s435,plain,
    ~ spl0_75,
    inference(rat,[],[s97,s431]) ).

cnf(s436,plain,
    ( ~ spl0_27
    | spl0_20 ),
    inference(rat,[],[s427,s173,s175,s25,s11,s293,s209,s89,s90,s91,s55,s284,s353,s105,s107,s39,s414,s59,s5,s395,s415,s210,s432,s430,s433,s434,s435]) ).

cnf(s437,plain,
    ( ~ spl0_31
    | spl0_20 ),
    inference(rat,[],[s238,s153,s154,s155,s12,s370,s206,s417,s83,s82,s81,s18,s436,s432]) ).

cnf(s439,plain,
    ( spl0_56
    | spl0_26
    | spl0_20
    | spl0_5 ),
    inference(rat,[],[s289,s177,s178,s179,s48,s407,s347,s65,s59,s373,s127,s126,s125,s68,s208,s81,s82,s83,s18,s436,s437,s432,s430]) ).

cnf(s440,plain,
    ( spl0_14
    | ~ spl0_30 ),
    inference(rat,[],[s216,s173,s174,s175]) ).

cnf(s441,plain,
    ( spl0_10
    | ~ spl0_35 ),
    inference(rat,[],[s369,s137,s138,s139]) ).

cnf(s442,plain,
    ( spl0_47
    | spl0_20
    | spl0_5 ),
    inference(rat,[],[s203,s141,s142,s143,s53,s341,s113,s114,s115,s20,s213,s246,s439,s413,s43,s440,s173,s174,s175,s42,s441,s27,s410,s420,s436,s432]) ).

cnf(s443,plain,
    ( spl0_3
    | ~ spl0_47
    | ~ spl0_44 ),
    inference(rat,[],[s358,s389,s149,s150]) ).

cnf(s444,plain,
    ( spl0_20
    | spl0_5 ),
    inference(rat,[],[s325,s189,s190,s191,s4,s443,s442,s414,s39,s410,s420,s436,s430,s432]) ).

cnf(s445,plain,
    spl0_5,
    inference(rat,[],[s238,s153,s154,s155,s22,s17,s425,s21,s429,s365,s43,s62,s214,s206,s208,s207,s81,s82,s83,s14,s200,s413,s197,s409,s444,s126,s127,s432,s430]) ).

cnf(s446,plain,
    spl0_20,
    inference(rat,[],[s325,s189,s190,s191,s4,s443,s43,s413,s373,s62,s214,s399,s287,s25,s374,s145,s146,s147,s6,s441,s414,s68,s27,s39,s208,s410,s81,s82,s83,s420,s18,s437,s436,s432,s445,s430]) ).

cnf(s447,plain,
    ~ spl0_27,
    inference(rat,[],[s284,s353,s105,s107,s39,s414,s55,s59,s5,s395,s412,s415,s210,s430,s432,s433,s434,s446,s435]) ).

cnf(s448,plain,
    ~ spl0_24,
    inference(rat,[],[s18,s432,s447]) ).

cnf(s449,plain,
    spl0_44,
    inference(rat,[],[s420,s432,s447]) ).

cnf(s450,plain,
    ~ spl0_65,
    inference(rat,[],[s83,s448]) ).

cnf(s451,plain,
    spl0_64,
    inference(rat,[],[s82,s448]) ).

cnf(s452,plain,
    spl0_63,
    inference(rat,[],[s81,s448]) ).

cnf(s453,plain,
    spl0_36,
    inference(rat,[],[s410,s449]) ).

cnf(s454,plain,
    ~ spl0_156,
    inference(rat,[],[s207,s446,s452,s451]) ).

cnf(s455,plain,
    ~ spl0_23,
    inference(rat,[],[s208,s450,s451,s452]) ).

cnf(s456,plain,
    spl0_45,
    inference(rat,[],[s39,s432,s430,s453]) ).

cnf(s457,plain,
    ~ spl0_25,
    inference(rat,[],[s399,s452,s451,s454]) ).

cnf(s459,plain,
    ~ spl0_30,
    inference(rat,[],[s214,s451,s450,s454]) ).

cnf(s460,plain,
    spl0_59,
    inference(rat,[],[s68,s432,s430,s455]) ).

cnf(s461,plain,
    ~ spl0_8,
    inference(rat,[],[s414,s456]) ).

cnf(s462,plain,
    spl0_57,
    inference(rat,[],[s62,s455,s432,s457]) ).

cnf(s464,plain,
    spl0_56,
    inference(rat,[],[s373,s460,s462]) ).

cnf(s465,plain,
    spl0_48,
    inference(rat,[],[s413,s464]) ).

cnf(s469,plain,
    spl0_47,
    inference(rat,[],[s43,s459,s432,s465]) ).

cnf(s470,plain,
    spl0_3,
    inference(rat,[],[s443,s449,s469]) ).

cnf(s472,plain,
    ~ spl0_7,
    inference(rat,[],[s4,s461,s470]) ).

cnf(s475,plain,
    ~ spl0_146,
    inference(rat,[],[s191,s472]) ).

cnf(s476,plain,
    ~ spl0_145,
    inference(rat,[],[s190,s472]) ).

cnf(s477,plain,
    ~ spl0_144,
    inference(rat,[],[s189,s472]) ).

cnf(s483,plain,
    $false,
    inference(rat,[],[s325,s475,s469,s476,s477]) ).

fof(f2047,plain,
    $false,
    inference(avatar_sat_refutation,[],[s483]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN506+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.16  % Computer : n005.cluster.edu
% 0.10/0.16  % Model    : x86_64 x86_64
% 0.10/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16  % Memory   : 8046.5625MB
% 0.10/0.16  % OS       : Linux 6.8.0-71-generic
% 0.10/0.16  % CPULimit : 300
% 0.10/0.16  % WCLimit  : 300
% 0.10/0.16  % DateTime : Mon Sep 28 16:20:17 UTC 2026
% 0.10/0.16  % CPUTime  : 
% 0.10/0.16  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18  Running first-order model finding
% 0.10/0.18  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.25  % (909873)Will run a generic schedule for satisfiability detection.
% 0.10/0.25  % (909880)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=29518657:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.25  % (909879)% WARNING: option uhcvi not known.
% 0.10/0.25  % (909878)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=341442357_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.25  % (909879)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3228860799:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.25  % (909883)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2941683653:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.25  % (909881)dis+10_1_sil=32000:sp=arity:random_seed=719405562:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.25  % (909882)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3311729602:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.25  % (909884)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1277553445:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.25  % Detected minimum model sizes of [1]
% 0.10/0.25  % Detected maximum model sizes of [29]
% 0.10/0.25  % TRYING [1]
% 0.10/0.25  % TRYING [2]
% 0.10/0.25  % TRYING [3]
% 0.10/0.25  % TRYING [4]
% 0.10/0.25  % (909884) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-909873-909884"...
% 0.10/0.25  % (909881) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-909873-909881"...
% 0.10/0.25  % (909884)...printing done.
% 0.10/0.25  % (909884)Refutation found. Thanks to Tanya!
% 0.10/0.25  % SZS status Theorem for theBenchmark
% 0.10/0.25  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.26  % (909884)------------------------------
% 0.10/0.26  % (909884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26  % (909884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26  % (909884)CaDiCaL version: 2.1.3
% 0.10/0.26  % (909884)Termination reason: Refutation
% 0.10/0.26  % (909884)Time elapsed: 0.028 s
% 0.10/0.26  % (909884)Peak memory usage: 13 MB
% 0.10/0.26  % (909884)Instructions burned: 48 (million)
% 0.10/0.26  % (909873)Success in time 0.062 s
% 0.10/0.26  % Vampire exiting
%------------------------------------------------------------------------------