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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN442+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 : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:23 PM UTC 2026

% Result   : Theorem 0.38s 0.30s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :  136
% Syntax   : Number of formulae    :  887 (   7 unt; 135 def)
%            Number of atoms       : 5912 (   0 equ)
%            Maximal formula atoms :  596 (   6 avg)
%            Number of connectives : 7752 (2727   ~;3711   |; 915   &)
%                                         ( 135 <=>; 264  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   97 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  172 ( 171 usr; 168 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  648 (   0 sgn 648   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a124)
          & c3_1(a124)
          & ~ c0_1(a124) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a125)
          & c1_1(a125)
          & ~ c3_1(a125) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a126)
          & ~ c1_1(a126)
          & ~ c2_1(a126) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a128)
          & ~ c2_1(a128)
          & ~ c3_1(a128) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a130)
          & c2_1(a130)
          & ~ c3_1(a130) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a131)
          & c3_1(a131)
          & ~ c2_1(a131) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a133)
          & ~ c1_1(a133)
          & ~ c2_1(a133) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a134)
          & ~ c0_1(a134)
          & ~ c3_1(a134) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a135)
          & c3_1(a135)
          & ~ c1_1(a135) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a136)
          & c2_1(a136)
          & ~ c3_1(a136) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a138)
          & c3_1(a138)
          & ~ c1_1(a138) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a139)
          & ~ c1_1(a139)
          & ~ c3_1(a139) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a140)
          & c3_1(a140)
          & ~ c0_1(a140) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c2_1(a144)
          & ~ c0_1(a144)
          & ~ c3_1(a144) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ c0_1(a145)
          & ~ c1_1(a145)
          & ~ c3_1(a145) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c3_1(a149)
          & ~ c1_1(a149)
          & ~ c2_1(a149) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a151)
          & c1_1(a151)
          & ~ c2_1(a151) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a158)
          & ~ c2_1(a158)
          & ~ c3_1(a158) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a159)
          & ~ c2_1(a159)
          & ~ c3_1(a159) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a162)
          & c3_1(a162)
          & ~ c2_1(a162) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a168)
          & ~ c0_1(a168)
          & ~ c2_1(a168) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a170)
          & ~ c0_1(a170)
          & ~ c2_1(a170) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a179)
          & c2_1(a179)
          & ~ c1_1(a179) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a181)
          & c2_1(a181)
          & ~ c0_1(a181) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c1_1(a183)
          & ~ c2_1(a183)
          & ~ c3_1(a183) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a192)
          & ~ c1_1(a192)
          & ~ c3_1(a192) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c2_1(a196)
          & ~ c0_1(a196)
          & ~ c1_1(a196) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a137)
          & c2_1(a137)
          & c3_1(a137) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a143)
          & c2_1(a143)
          & c3_1(a143) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a150)
          & c1_1(a150)
          & c3_1(a150) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a199)
          & c1_1(a199)
          & c2_1(a199) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | c2_1(X2)
              | ~ c0_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c2_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | ~ c0_1(X5)
              | ~ c3_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c3_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | ~ c3_1(X7) ) )
        | hskp0 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | hskp1
        | hskp2 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | hskp1
        | hskp3 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c1_1(X11)
              | ~ c2_1(X11)
              | ~ c3_1(X11) ) )
        | hskp2 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c3_1(X12) ) )
        | hskp4
        | hskp5 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c3_1(X13) ) )
        | hskp4
        | hskp6 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c3_1(X14) ) )
        | hskp7
        | hskp8 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c2_1(X15)
              | c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c2_1(X16)
              | ~ c3_1(X16) ) )
        | hskp9 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c2_1(X17)
              | c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | ~ c3_1(X18) ) )
        | hskp27 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c1_1(X19) ) )
        | hskp10
        | hskp11 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c2_1(X20)
              | ~ c1_1(X20) ) )
        | hskp12
        | hskp8 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c3_1(X22)
              | ~ c2_1(X22) ) )
        | hskp3 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | ~ c3_1(X23) ) )
        | hskp28
        | hskp13 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | ~ c3_1(X24) ) )
        | hskp14
        | hskp3 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c3_1(X25)
              | ~ c1_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | ~ c1_1(X26)
              | ~ c3_1(X26) ) )
        | hskp6 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c3_1(X27)
              | ~ c1_1(X27) ) )
        | hskp27
        | hskp15 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c3_1(X28)
              | ~ c2_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | ~ c1_1(X29)
              | ~ c2_1(X29) ) )
        | hskp29 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | ~ c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | ~ c2_1(X32)
              | ~ c3_1(X32) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c3_1(X33)
              | ~ c2_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | c3_1(X34)
              | ~ c1_1(X34) ) )
        | hskp16 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c3_1(X35)
              | ~ c2_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c0_1(X36)
              | ~ c2_1(X36)
              | ~ c3_1(X36) ) )
        | hskp28 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c3_1(X37)
              | ~ c2_1(X37) ) )
        | hskp29
        | hskp3 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c3_1(X38)
              | ~ c2_1(X38) ) )
        | hskp9
        | hskp10 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c3_1(X39)
              | ~ c2_1(X39) ) )
        | hskp7
        | hskp17 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | ~ c1_1(X40)
              | ~ c2_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) )
        | hskp18 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c2_1(X43)
              | ~ c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c2_1(X44)
              | ~ c1_1(X44)
              | ~ c3_1(X44) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c2_1(X45)
              | c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | ~ c1_1(X46)
              | ~ c3_1(X46) ) )
        | hskp7 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c2_1(X47)
              | ~ c0_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | ~ c2_1(X48)
              | ~ c3_1(X48) ) )
        | hskp16 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c3_1(X49)
              | ~ c0_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | ~ c0_1(X50)
              | ~ c3_1(X50) ) )
        | hskp19 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c3_1(X51)
              | ~ c0_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | ~ c0_1(X52)
              | ~ c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | ~ c2_1(X53)
              | ~ c3_1(X53) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c3_1(X54)
              | ~ c0_1(X54) ) )
        | hskp4
        | hskp5 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c3_1(X55)
              | ~ c2_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | c3_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c2_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c3_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | ~ c0_1(X59)
              | ~ c1_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c3_1(X61)
              | ~ c2_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c2_1(X62)
              | ~ c0_1(X62)
              | ~ c3_1(X62) ) )
        | hskp8 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c3_1(X63)
              | ~ c2_1(X63) ) )
        | hskp16
        | hskp17 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | ~ c0_1(X64)
              | ~ c2_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c2_1(X65)
              | ~ c1_1(X65)
              | ~ c3_1(X65) ) )
        | hskp20 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c0_1(X66)
              | ~ c3_1(X66) ) )
        | hskp16
        | hskp21 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c0_1(X67)
              | ~ c3_1(X67) ) )
        | hskp10
        | hskp13 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | c3_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c0_1(X69)
              | ~ c3_1(X69) ) )
        | hskp17 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c3_1(X70)
              | ~ c0_1(X70) ) )
        | hskp1
        | hskp3 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | c3_1(X71)
              | ~ c1_1(X71) ) )
        | hskp18
        | hskp21 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | ~ c0_1(X72)
              | ~ c1_1(X72) ) )
        | hskp15 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | ~ c0_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | ~ c1_1(X74)
              | ~ c2_1(X74) ) )
        | hskp22 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | ~ c0_1(X75)
              | ~ c3_1(X75) ) )
        | hskp16
        | hskp23 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | ~ c0_1(X76)
              | ~ c3_1(X76) ) )
        | hskp5
        | hskp24 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | ~ c1_1(X77)
              | ~ c3_1(X77) ) )
        | hskp4
        | hskp24 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | ~ c0_1(X78)
              | ~ c1_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c1_1(X79)
              | ~ c2_1(X79) ) )
        | hskp13 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c3_1(X80)
              | ~ c0_1(X80)
              | ~ c1_1(X80) ) )
        | hskp12 )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | ~ c1_1(X81)
              | ~ c2_1(X81) ) )
        | hskp19
        | hskp13 )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | ~ c1_1(X82)
              | ~ c3_1(X82) ) )
        | hskp10
        | hskp15 )
      & ( ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) )
        | hskp25
        | hskp24 )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c2_1(X85)
              | ~ c3_1(X85) ) )
        | hskp1 )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp27
        | hskp26 )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) )
        | hskp18
        | hskp12 )
      & ( hskp30
        | hskp10
        | hskp18 )
      & ( hskp9
        | hskp21
        | hskp6 )
      & ( hskp10
        | hskp5
        | hskp0 )
      & ( hskp11
        | hskp8 )
      & ( hskp12
        | hskp5
        | hskp15 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a124)
            & c3_1(a124)
            & ~ c0_1(a124) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a125)
            & c1_1(a125)
            & ~ c3_1(a125) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a126)
            & ~ c1_1(a126)
            & ~ c2_1(a126) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a128)
            & ~ c2_1(a128)
            & ~ c3_1(a128) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a130)
            & c2_1(a130)
            & ~ c3_1(a130) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a131)
            & c3_1(a131)
            & ~ c2_1(a131) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a133)
            & ~ c1_1(a133)
            & ~ c2_1(a133) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a134)
            & ~ c0_1(a134)
            & ~ c3_1(a134) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a135)
            & c3_1(a135)
            & ~ c1_1(a135) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a136)
            & c2_1(a136)
            & ~ c3_1(a136) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a138)
            & c3_1(a138)
            & ~ c1_1(a138) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a139)
            & ~ c1_1(a139)
            & ~ c3_1(a139) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a140)
            & c3_1(a140)
            & ~ c0_1(a140) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c2_1(a144)
            & ~ c0_1(a144)
            & ~ c3_1(a144) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & ~ c0_1(a145)
            & ~ c1_1(a145)
            & ~ c3_1(a145) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c3_1(a149)
            & ~ c1_1(a149)
            & ~ c2_1(a149) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a151)
            & c1_1(a151)
            & ~ c2_1(a151) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a158)
            & ~ c2_1(a158)
            & ~ c3_1(a158) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a159)
            & ~ c2_1(a159)
            & ~ c3_1(a159) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a162)
            & c3_1(a162)
            & ~ c2_1(a162) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a168)
            & ~ c0_1(a168)
            & ~ c2_1(a168) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a170)
            & ~ c0_1(a170)
            & ~ c2_1(a170) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a179)
            & c2_1(a179)
            & ~ c1_1(a179) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a181)
            & c2_1(a181)
            & ~ c0_1(a181) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c1_1(a183)
            & ~ c2_1(a183)
            & ~ c3_1(a183) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a192)
            & ~ c1_1(a192)
            & ~ c3_1(a192) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c2_1(a196)
            & ~ c0_1(a196)
            & ~ c1_1(a196) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a137)
            & c2_1(a137)
            & c3_1(a137) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a143)
            & c2_1(a143)
            & c3_1(a143) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a150)
            & c1_1(a150)
            & c3_1(a150) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a199)
            & c1_1(a199)
            & c2_1(a199) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | ~ c0_1(X5)
                | ~ c3_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | ~ c3_1(X7) ) )
          | hskp0 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | hskp1
          | hskp2 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | hskp1
          | hskp3 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c1_1(X11)
                | ~ c2_1(X11)
                | ~ c3_1(X11) ) )
          | hskp2 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c3_1(X12) ) )
          | hskp4
          | hskp5 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c3_1(X13) ) )
          | hskp4
          | hskp6 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c3_1(X14) ) )
          | hskp7
          | hskp8 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c2_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c2_1(X16)
                | ~ c3_1(X16) ) )
          | hskp9 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | ~ c3_1(X18) ) )
          | hskp27 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | hskp10
          | hskp11 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c2_1(X20)
                | ~ c1_1(X20) ) )
          | hskp12
          | hskp8 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c3_1(X22)
                | ~ c2_1(X22) ) )
          | hskp3 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | ~ c3_1(X23) ) )
          | hskp28
          | hskp13 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | ~ c3_1(X24) ) )
          | hskp14
          | hskp3 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c3_1(X25)
                | ~ c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | ~ c1_1(X26)
                | ~ c3_1(X26) ) )
          | hskp6 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c3_1(X27)
                | ~ c1_1(X27) ) )
          | hskp27
          | hskp15 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c3_1(X28)
                | ~ c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c1_1(X29)
                | ~ c2_1(X29) ) )
          | hskp29 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | ~ c2_1(X32)
                | ~ c3_1(X32) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | ~ c2_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | c3_1(X34)
                | ~ c1_1(X34) ) )
          | hskp16 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c3_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | ~ c2_1(X36)
                | ~ c3_1(X36) ) )
          | hskp28 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c3_1(X37)
                | ~ c2_1(X37) ) )
          | hskp29
          | hskp3 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | ~ c2_1(X38) ) )
          | hskp9
          | hskp10 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c3_1(X39)
                | ~ c2_1(X39) ) )
          | hskp7
          | hskp17 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | ~ c1_1(X40)
                | ~ c2_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) )
          | hskp18 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | ~ c1_1(X44)
                | ~ c3_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c2_1(X45)
                | c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | ~ c1_1(X46)
                | ~ c3_1(X46) ) )
          | hskp7 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c2_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp16 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c3_1(X49)
                | ~ c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | ~ c0_1(X50)
                | ~ c3_1(X50) ) )
          | hskp19 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c0_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | ~ c2_1(X53)
                | ~ c3_1(X53) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c3_1(X54)
                | ~ c0_1(X54) ) )
          | hskp4
          | hskp5 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | c3_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c3_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | ~ c0_1(X59)
                | ~ c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c3_1(X61)
                | ~ c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | ~ c0_1(X62)
                | ~ c3_1(X62) ) )
          | hskp8 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c3_1(X63)
                | ~ c2_1(X63) ) )
          | hskp16
          | hskp17 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | ~ c0_1(X64)
                | ~ c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) )
          | hskp20 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c0_1(X66)
                | ~ c3_1(X66) ) )
          | hskp16
          | hskp21 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) )
          | hskp10
          | hskp13 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | c3_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c0_1(X69)
                | ~ c3_1(X69) ) )
          | hskp17 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c3_1(X70)
                | ~ c0_1(X70) ) )
          | hskp1
          | hskp3 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | c3_1(X71)
                | ~ c1_1(X71) ) )
          | hskp18
          | hskp21 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c0_1(X72)
                | ~ c1_1(X72) ) )
          | hskp15 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c0_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | ~ c1_1(X74)
                | ~ c2_1(X74) ) )
          | hskp22 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c0_1(X75)
                | ~ c3_1(X75) ) )
          | hskp16
          | hskp23 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c0_1(X76)
                | ~ c3_1(X76) ) )
          | hskp5
          | hskp24 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) )
          | hskp4
          | hskp24 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c0_1(X78)
                | ~ c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c1_1(X79)
                | ~ c2_1(X79) ) )
          | hskp13 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | ~ c0_1(X80)
                | ~ c1_1(X80) ) )
          | hskp12 )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c1_1(X81)
                | ~ c2_1(X81) ) )
          | hskp19
          | hskp13 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c1_1(X82)
                | ~ c3_1(X82) ) )
          | hskp10
          | hskp15 )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) )
          | hskp25
          | hskp24 )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c2_1(X85)
                | ~ c3_1(X85) ) )
          | hskp1 )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp27
          | hskp26 )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp18
          | hskp12 )
        & ( hskp30
          | hskp10
          | hskp18 )
        & ( hskp9
          | hskp21
          | hskp6 )
        & ( hskp10
          | hskp5
          | hskp0 )
        & ( hskp11
          | hskp8 )
        & ( hskp12
          | hskp5
          | hskp15 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a124)
        & c3_1(a124)
        & ~ c0_1(a124) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a125)
        & c1_1(a125)
        & ~ c3_1(a125) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a126)
        & ~ c1_1(a126)
        & ~ c2_1(a126) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a128)
        & ~ c2_1(a128)
        & ~ c3_1(a128) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a130)
        & c2_1(a130)
        & ~ c3_1(a130) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a131)
        & c3_1(a131)
        & ~ c2_1(a131) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a133)
        & ~ c1_1(a133)
        & ~ c2_1(a133) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a134)
        & ~ c0_1(a134)
        & ~ c3_1(a134) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a135)
        & c3_1(a135)
        & ~ c1_1(a135) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a136)
        & c2_1(a136)
        & ~ c3_1(a136) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a138)
        & c3_1(a138)
        & ~ c1_1(a138) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a139)
        & ~ c1_1(a139)
        & ~ c3_1(a139) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a140)
        & c3_1(a140)
        & ~ c0_1(a140) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a144)
        & ~ c0_1(a144)
        & ~ c3_1(a144) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a145)
        & ~ c1_1(a145)
        & ~ c3_1(a145) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a149)
        & ~ c1_1(a149)
        & ~ c2_1(a149) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a151)
        & c1_1(a151)
        & ~ c2_1(a151) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a158)
        & ~ c2_1(a158)
        & ~ c3_1(a158) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a159)
        & ~ c2_1(a159)
        & ~ c3_1(a159) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a162)
        & c3_1(a162)
        & ~ c2_1(a162) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a168)
        & ~ c0_1(a168)
        & ~ c2_1(a168) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a170)
        & ~ c0_1(a170)
        & ~ c2_1(a170) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a179)
        & c2_1(a179)
        & ~ c1_1(a179) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a181)
        & c2_1(a181)
        & ~ c0_1(a181) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c1_1(a183)
        & ~ c2_1(a183)
        & ~ c3_1(a183) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a192)
        & ~ c1_1(a192)
        & ~ c3_1(a192) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a196)
        & ~ c0_1(a196)
        & ~ c1_1(a196) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a137)
        & c2_1(a137)
        & c3_1(a137) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a143)
        & c2_1(a143)
        & c3_1(a143) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a150)
        & c1_1(a150)
        & c3_1(a150) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a199)
        & c1_1(a199)
        & c2_1(a199) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c2_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | ~ c0_1(X5)
            | ~ c3_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | ~ c3_1(X7) ) )
      | hskp0 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c3_1(X8) ) )
      | hskp1
      | hskp2 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c2_1(X9) ) )
      | hskp1
      | hskp3 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | ~ c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c1_1(X11)
            | ~ c2_1(X11)
            | ~ c3_1(X11) ) )
      | hskp2 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c3_1(X12) ) )
      | hskp4
      | hskp5 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c3_1(X13) ) )
      | hskp4
      | hskp6 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c3_1(X14) ) )
      | hskp7
      | hskp8 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c2_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c2_1(X16)
            | ~ c3_1(X16) ) )
      | hskp9 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c2_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c2_1(X18)
            | ~ c3_1(X18) ) )
      | hskp27 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | ~ c1_1(X19) ) )
      | hskp10
      | hskp11 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c2_1(X20)
            | ~ c1_1(X20) ) )
      | hskp12
      | hskp8 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c2_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | c3_1(X22)
            | ~ c2_1(X22) ) )
      | hskp3 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | ~ c3_1(X23) ) )
      | hskp28
      | hskp13 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | ~ c3_1(X24) ) )
      | hskp14
      | hskp3 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c3_1(X25)
            | ~ c1_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | ~ c1_1(X26)
            | ~ c3_1(X26) ) )
      | hskp6 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c3_1(X27)
            | ~ c1_1(X27) ) )
      | hskp27
      | hskp15 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c3_1(X28)
            | ~ c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | ~ c1_1(X29)
            | ~ c2_1(X29) ) )
      | hskp29 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c3_1(X30)
            | ~ c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | ~ c2_1(X32)
            | ~ c3_1(X32) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c3_1(X33)
            | ~ c2_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | c3_1(X34)
            | ~ c1_1(X34) ) )
      | hskp16 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c3_1(X35)
            | ~ c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | ~ c2_1(X36)
            | ~ c3_1(X36) ) )
      | hskp28 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c3_1(X37)
            | ~ c2_1(X37) ) )
      | hskp29
      | hskp3 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c3_1(X38)
            | ~ c2_1(X38) ) )
      | hskp9
      | hskp10 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c3_1(X39)
            | ~ c2_1(X39) ) )
      | hskp7
      | hskp17 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | ~ c1_1(X40)
            | ~ c2_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | ~ c2_1(X41)
            | ~ c3_1(X41) ) )
      | hskp18 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c2_1(X42)
            | ~ c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | c2_1(X43)
            | ~ c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c2_1(X44)
            | ~ c1_1(X44)
            | ~ c3_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | c2_1(X45)
            | c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | ~ c1_1(X46)
            | ~ c3_1(X46) ) )
      | hskp7 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | c2_1(X47)
            | ~ c0_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | ~ c2_1(X48)
            | ~ c3_1(X48) ) )
      | hskp16 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c3_1(X49)
            | ~ c0_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | ~ c0_1(X50)
            | ~ c3_1(X50) ) )
      | hskp19 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c3_1(X51)
            | ~ c0_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | ~ c0_1(X52)
            | ~ c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | ~ c2_1(X53)
            | ~ c3_1(X53) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c3_1(X54)
            | ~ c0_1(X54) ) )
      | hskp4
      | hskp5 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c3_1(X55)
            | ~ c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | c3_1(X56)
            | ~ c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c2_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c3_1(X58)
            | ~ c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | ~ c0_1(X59)
            | ~ c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | ~ c2_1(X60)
            | ~ c3_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c3_1(X61)
            | ~ c2_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | ~ c0_1(X62)
            | ~ c3_1(X62) ) )
      | hskp8 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c3_1(X63)
            | ~ c2_1(X63) ) )
      | hskp16
      | hskp17 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | ~ c0_1(X64)
            | ~ c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | ~ c1_1(X65)
            | ~ c3_1(X65) ) )
      | hskp20 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | ~ c0_1(X66)
            | ~ c3_1(X66) ) )
      | hskp16
      | hskp21 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c0_1(X67)
            | ~ c3_1(X67) ) )
      | hskp10
      | hskp13 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c2_1(X68)
            | c3_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c0_1(X69)
            | ~ c3_1(X69) ) )
      | hskp17 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | c3_1(X70)
            | ~ c0_1(X70) ) )
      | hskp1
      | hskp3 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | c3_1(X71)
            | ~ c1_1(X71) ) )
      | hskp18
      | hskp21 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | ~ c0_1(X72)
            | ~ c1_1(X72) ) )
      | hskp15 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | ~ c0_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | ~ c1_1(X74)
            | ~ c2_1(X74) ) )
      | hskp22 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | ~ c0_1(X75)
            | ~ c3_1(X75) ) )
      | hskp16
      | hskp23 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c2_1(X76)
            | ~ c0_1(X76)
            | ~ c3_1(X76) ) )
      | hskp5
      | hskp24 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | ~ c1_1(X77)
            | ~ c3_1(X77) ) )
      | hskp4
      | hskp24 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | ~ c0_1(X78)
            | ~ c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | ~ c1_1(X79)
            | ~ c2_1(X79) ) )
      | hskp13 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | ~ c0_1(X80)
            | ~ c1_1(X80) ) )
      | hskp12 )
    & ( ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | ~ c1_1(X81)
            | ~ c2_1(X81) ) )
      | hskp19
      | hskp13 )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | ~ c1_1(X82)
            | ~ c3_1(X82) ) )
      | hskp10
      | hskp15 )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | ~ c1_1(X83)
            | ~ c3_1(X83) ) )
      | hskp25
      | hskp24 )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | ~ c2_1(X84)
            | ~ c3_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c2_1(X85)
            | ~ c3_1(X85) ) )
      | hskp1 )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | ~ c2_1(X86)
            | ~ c3_1(X86) ) )
      | hskp27
      | hskp26 )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) )
      | hskp18
      | hskp12 )
    & ( hskp30
      | hskp10
      | hskp18 )
    & ( hskp9
      | hskp21
      | hskp6 )
    & ( hskp10
      | hskp5
      | hskp0 )
    & ( hskp11
      | hskp8 )
    & ( hskp12
      | hskp5
      | hskp15 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a124)
        & c3_1(a124)
        & ~ c0_1(a124) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a125)
        & c1_1(a125)
        & ~ c3_1(a125) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a126)
        & ~ c1_1(a126)
        & ~ c2_1(a126) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a128)
        & ~ c2_1(a128)
        & ~ c3_1(a128) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a130)
        & c2_1(a130)
        & ~ c3_1(a130) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a131)
        & c3_1(a131)
        & ~ c2_1(a131) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a133)
        & ~ c1_1(a133)
        & ~ c2_1(a133) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a134)
        & ~ c0_1(a134)
        & ~ c3_1(a134) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a135)
        & c3_1(a135)
        & ~ c1_1(a135) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a136)
        & c2_1(a136)
        & ~ c3_1(a136) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a138)
        & c3_1(a138)
        & ~ c1_1(a138) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a139)
        & ~ c1_1(a139)
        & ~ c3_1(a139) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a140)
        & c3_1(a140)
        & ~ c0_1(a140) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a144)
        & ~ c0_1(a144)
        & ~ c3_1(a144) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a145)
        & ~ c1_1(a145)
        & ~ c3_1(a145) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a149)
        & ~ c1_1(a149)
        & ~ c2_1(a149) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a151)
        & c1_1(a151)
        & ~ c2_1(a151) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a158)
        & ~ c2_1(a158)
        & ~ c3_1(a158) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a159)
        & ~ c2_1(a159)
        & ~ c3_1(a159) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a162)
        & c3_1(a162)
        & ~ c2_1(a162) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a168)
        & ~ c0_1(a168)
        & ~ c2_1(a168) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a170)
        & ~ c0_1(a170)
        & ~ c2_1(a170) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a179)
        & c2_1(a179)
        & ~ c1_1(a179) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a181)
        & c2_1(a181)
        & ~ c0_1(a181) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c1_1(a183)
        & ~ c2_1(a183)
        & ~ c3_1(a183) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a192)
        & ~ c1_1(a192)
        & ~ c3_1(a192) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a196)
        & ~ c0_1(a196)
        & ~ c1_1(a196) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a137)
        & c2_1(a137)
        & c3_1(a137) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a143)
        & c2_1(a143)
        & c3_1(a143) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a150)
        & c1_1(a150)
        & c3_1(a150) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a199)
        & c1_1(a199)
        & c2_1(a199) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | ~ c0_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp1
      | hskp3 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | hskp4
      | hskp6 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c2_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c3_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp28
      | hskp13 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp14
      | hskp3 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c3_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | ~ c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c3_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | hskp27
      | hskp15 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c3_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp29
      | hskp3 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp7
      | hskp17 )
    & ( ! [X40] :
          ( c0_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c2_1(X44)
          | ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c1_1(X45)
          | c2_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | ~ c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | ~ c0_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | ~ c0_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c1_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c2_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c1_1(X58)
          | c3_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c1_1(X61)
          | c3_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | ~ c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c3_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( ! [X64] :
          ( c1_1(X64)
          | ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | ~ c1_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp16
      | hskp21 )
    & ( ! [X67] :
          ( c1_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp10
      | hskp13 )
    & ( ! [X68] :
          ( c2_1(X68)
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp1
      | hskp3 )
    & ( ! [X71] :
          ( c2_1(X71)
          | c3_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | hskp18
      | hskp21 )
    & ( ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X75] :
          ( c2_1(X75)
          | ~ c0_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp16
      | hskp23 )
    & ( ! [X76] :
          ( c2_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp5
      | hskp24 )
    & ( ! [X77] :
          ( c2_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp4
      | hskp24 )
    & ( ! [X78] :
          ( c3_1(X78)
          | ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X80] :
          ( c3_1(X80)
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp19
      | hskp13 )
    & ( ! [X82] :
          ( ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp10
      | hskp15 )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp25
      | hskp24 )
    & ( ! [X84] :
          ( ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X86] :
          ( ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp27
      | hskp26 )
    & ( ! [X87] :
          ( ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp18
      | hskp12 )
    & ( hskp30
      | hskp10
      | hskp18 )
    & ( hskp9
      | hskp21
      | hskp6 )
    & ( hskp10
      | hskp5
      | hskp0 )
    & ( hskp11
      | hskp8 )
    & ( hskp12
      | hskp5
      | hskp15 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a124)
        & c3_1(a124)
        & ~ c0_1(a124) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a125)
        & c1_1(a125)
        & ~ c3_1(a125) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a126)
        & ~ c1_1(a126)
        & ~ c2_1(a126) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a128)
        & ~ c2_1(a128)
        & ~ c3_1(a128) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a130)
        & c2_1(a130)
        & ~ c3_1(a130) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a131)
        & c3_1(a131)
        & ~ c2_1(a131) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a133)
        & ~ c1_1(a133)
        & ~ c2_1(a133) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a134)
        & ~ c0_1(a134)
        & ~ c3_1(a134) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a135)
        & c3_1(a135)
        & ~ c1_1(a135) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a136)
        & c2_1(a136)
        & ~ c3_1(a136) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a138)
        & c3_1(a138)
        & ~ c1_1(a138) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a139)
        & ~ c1_1(a139)
        & ~ c3_1(a139) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a140)
        & c3_1(a140)
        & ~ c0_1(a140) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c2_1(a144)
        & ~ c0_1(a144)
        & ~ c3_1(a144) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a145)
        & ~ c1_1(a145)
        & ~ c3_1(a145) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a149)
        & ~ c1_1(a149)
        & ~ c2_1(a149) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a151)
        & c1_1(a151)
        & ~ c2_1(a151) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a158)
        & ~ c2_1(a158)
        & ~ c3_1(a158) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a159)
        & ~ c2_1(a159)
        & ~ c3_1(a159) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a162)
        & c3_1(a162)
        & ~ c2_1(a162) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a168)
        & ~ c0_1(a168)
        & ~ c2_1(a168) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a170)
        & ~ c0_1(a170)
        & ~ c2_1(a170) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a179)
        & c2_1(a179)
        & ~ c1_1(a179) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a181)
        & c2_1(a181)
        & ~ c0_1(a181) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c1_1(a183)
        & ~ c2_1(a183)
        & ~ c3_1(a183) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a192)
        & ~ c1_1(a192)
        & ~ c3_1(a192) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a196)
        & ~ c0_1(a196)
        & ~ c1_1(a196) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a137)
        & c2_1(a137)
        & c3_1(a137) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a143)
        & c2_1(a143)
        & c3_1(a143) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a150)
        & c1_1(a150)
        & c3_1(a150) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a199)
        & c1_1(a199)
        & c2_1(a199) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c2_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c1_1(X5)
          | ~ c0_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp1
      | hskp3 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c1_1(X11)
          | ~ c2_1(X11)
          | ~ c3_1(X11)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | hskp4
      | hskp6 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | hskp7
      | hskp8 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c2_1(X20)
          | ~ c1_1(X20)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c3_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp28
      | hskp13 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp14
      | hskp3 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c3_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | ~ c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c3_1(X27)
          | ~ c1_1(X27)
          | ~ ndr1_0 )
      | hskp27
      | hskp15 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c3_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | c3_1(X34)
          | ~ c1_1(X34)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp29
      | hskp3 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp7
      | hskp17 )
    & ( ! [X40] :
          ( c0_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c1_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c2_1(X44)
          | ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c1_1(X45)
          | c2_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c0_1(X46)
          | ~ c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | ~ c0_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | ~ c0_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c1_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c1_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X55] :
          ( c1_1(X55)
          | c3_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c2_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c1_1(X58)
          | c3_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c1_1(X61)
          | c3_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | ~ c0_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c3_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( ! [X64] :
          ( c1_1(X64)
          | ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | ~ c1_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp16
      | hskp21 )
    & ( ! [X67] :
          ( c1_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp10
      | hskp13 )
    & ( ! [X68] :
          ( c2_1(X68)
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp1
      | hskp3 )
    & ( ! [X71] :
          ( c2_1(X71)
          | c3_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | hskp18
      | hskp21 )
    & ( ! [X72] :
          ( c2_1(X72)
          | ~ c0_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X75] :
          ( c2_1(X75)
          | ~ c0_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp16
      | hskp23 )
    & ( ! [X76] :
          ( c2_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp5
      | hskp24 )
    & ( ! [X77] :
          ( c2_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp4
      | hskp24 )
    & ( ! [X78] :
          ( c3_1(X78)
          | ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X80] :
          ( c3_1(X80)
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X81] :
          ( ~ c0_1(X81)
          | ~ c1_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp19
      | hskp13 )
    & ( ! [X82] :
          ( ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp10
      | hskp15 )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp25
      | hskp24 )
    & ( ! [X84] :
          ( ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X86] :
          ( ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp27
      | hskp26 )
    & ( ! [X87] :
          ( ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp18
      | hskp12 )
    & ( hskp30
      | hskp10
      | hskp18 )
    & ( hskp9
      | hskp21
      | hskp6 )
    & ( hskp10
      | hskp5
      | hskp0 )
    & ( hskp11
      | hskp8 )
    & ( hskp12
      | hskp5
      | hskp15 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp12
    | hskp5
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f8,plain,
    ( hskp10
    | hskp5
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X86] :
      ( ~ c0_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp27
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X84,X85] :
      ( ~ c0_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | ~ c1_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X83] :
      ( ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp25
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X82] :
      ( ~ c0_1(X82)
      | ~ c1_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | hskp10
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X80] :
      ( c3_1(X80)
      | ~ c0_1(X80)
      | ~ c1_1(X80)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X78,X79] :
      ( c3_1(X78)
      | ~ c0_1(X78)
      | ~ c1_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | ~ c1_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X76] :
      ( c2_1(X76)
      | ~ c0_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp5
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X72] :
      ( c2_1(X72)
      | ~ c0_1(X72)
      | ~ c1_1(X72)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X68,X69] :
      ( c2_1(X68)
      | c3_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X66] :
      ( c1_1(X66)
      | ~ c0_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | hskp16
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X63] :
      ( c1_1(X63)
      | c3_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | hskp16
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X62,X61] :
      ( c1_1(X61)
      | c3_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X58,X59,X60] :
      ( c1_1(X58)
      | c3_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X56,X57,X55] :
      ( c1_1(X55)
      | c3_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | c3_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0
      | c2_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X54] :
      ( c1_1(X54)
      | c3_1(X54)
      | ~ c0_1(X54)
      | ~ ndr1_0
      | hskp4
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X51,X52,X53] :
      ( c1_1(X51)
      | c3_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | ~ c1_1(X53)
      | ~ c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X48,X47] :
      ( c1_1(X47)
      | c2_1(X47)
      | ~ c0_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | ~ c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | c1_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | c2_1(X44)
      | ~ c1_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X40,X41] :
      ( c0_1(X40)
      | ~ c1_1(X40)
      | ~ c2_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X39] :
      ( c0_1(X39)
      | c3_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | hskp7
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c3_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | c3_1(X34)
      | ~ c1_1(X34)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c3_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | c1_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c1_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c3_1(X28)
      | ~ c2_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | ~ c1_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X27] :
      ( c0_1(X27)
      | c3_1(X27)
      | ~ c1_1(X27)
      | ~ ndr1_0
      | hskp27
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X24] :
      ( c0_1(X24)
      | c2_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | hskp14
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | hskp28
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c2_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | c3_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X20] :
      ( c0_1(X20)
      | c2_1(X20)
      | ~ c1_1(X20)
      | ~ ndr1_0
      | hskp12
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c2_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | c0_1(X18)
      | c2_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X12] :
      ( c0_1(X12)
      | c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | hskp4
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | c0_1(X7)
      | c1_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c1_1(X2)
      | c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp29
    | c3_1(a150) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp29
    | c1_1(a150) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp29
    | c0_1(a150) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp28
    | c3_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp28
    | c2_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp28
    | c0_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp27
    | c3_1(a137) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp27
    | c2_1(a137) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp27
    | c1_1(a137) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp26
    | ~ c1_1(a196) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp26
    | ~ c0_1(a196) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp26
    | c2_1(a196) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp25
    | ~ c3_1(a192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp25
    | ~ c1_1(a192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp25
    | c2_1(a192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp24
    | ~ c3_1(a183) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp24
    | ~ c2_1(a183) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp24
    | ~ c1_1(a183) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp21
    | ~ c2_1(a170) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp21
    | ~ c0_1(a170) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp21
    | c3_1(a170) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp18
    | ~ c3_1(a159) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp18
    | ~ c2_1(a159) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp18
    | c0_1(a159) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp17
    | ~ c3_1(a158) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp17
    | ~ c2_1(a158) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp17
    | c1_1(a158) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp16
    | ~ c2_1(a151) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp16
    | c1_1(a151) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp16
    | c0_1(a151) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp15
    | ~ c2_1(a149) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp15
    | ~ c1_1(a149) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp15
    | c3_1(a149) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp15
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp14
    | ~ c3_1(a145) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp14
    | ~ c1_1(a145) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp14
    | ~ c0_1(a145) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp13
    | ~ c3_1(a144) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp13
    | ~ c0_1(a144) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp13
    | c2_1(a144) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp12
    | ~ c0_1(a140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp12
    | c3_1(a140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp12
    | c1_1(a140) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp11
    | ~ c3_1(a139) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp11
    | ~ c1_1(a139) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp11
    | c0_1(a139) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp10
    | ~ c1_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp10
    | c3_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp10
    | c0_1(a138) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ~ hskp10
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp8
    | ~ c1_1(a135) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp8
    | c3_1(a135) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp8
    | c2_1(a135) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp7
    | ~ c3_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp7
    | ~ c0_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp7
    | c1_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp5
    | ~ c2_1(a131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp5
    | c3_1(a131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp5
    | c1_1(a131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ~ hskp5
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp4
    | ~ c3_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp4
    | c2_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp4
    | c1_1(a130) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp3
    | ~ c3_1(a128) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp3
    | ~ c2_1(a128) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp3
    | ~ c0_1(a128) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp1
    | ~ c3_1(a125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp1
    | c1_1(a125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp1
    | c0_1(a125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp0
    | ~ c0_1(a124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp0
    | c3_1(a124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp0
    | c2_1(a124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( hskp0
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f191,plain,
    ( hskp0
    | c2_1(a124) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f192,plain,
    ( hskp0
    | c3_1(a124) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f193,plain,
    ( hskp0
    | ~ c0_1(a124) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f195,plain,
    ( hskp1
    | c0_1(a125) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f196,plain,
    ( hskp1
    | ~ c1_1(a125) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f197,plain,
    ( hskp1
    | ~ c3_1(a125) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f199,plain,
    ( ~ hskp4
    | ~ c1_1(a130) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f200,plain,
    ( hskp5
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f201,plain,
    ( hskp5
    | ~ c1_1(a131) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f202,plain,
    ( hskp5
    | c3_1(a131) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f203,plain,
    ( hskp5
    | ~ c2_1(a131) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f209,plain,
    ( hskp7
    | ~ c1_1(a134) ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f210,plain,
    ( hskp7
    | ~ c0_1(a134) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f211,plain,
    ( hskp7
    | ~ c3_1(a134) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f213,plain,
    ( hskp8
    | c2_1(a135) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f214,plain,
    ( hskp8
    | c3_1(a135) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f215,plain,
    ( hskp8
    | c1_1(a135) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f216,plain,
    ( ~ hskp10
    | c1_1(a138) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f218,plain,
    ( hskp11
    | c0_1(a139) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f219,plain,
    ( hskp11
    | c1_1(a139) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f220,plain,
    ( hskp11
    | ~ c3_1(a139) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f222,plain,
    ( hskp12
    | ~ c1_1(a140) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f223,plain,
    ( hskp12
    | c3_1(a140) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f224,plain,
    ( hskp12
    | ~ c0_1(a140) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f226,plain,
    ( hskp14
    | ~ c0_1(a145) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f227,plain,
    ( hskp14
    | c1_1(a145) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f228,plain,
    ( hskp14
    | ~ c3_1(a145) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f229,plain,
    ( hskp15
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f230,plain,
    ( hskp15
    | c3_1(a149) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f231,plain,
    ( hskp15
    | c1_1(a149) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f232,plain,
    ( hskp15
    | ~ c2_1(a149) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f233,plain,
    ( ~ hskp16
    | ~ c1_1(a151) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f234,plain,
    ( ~ hskp17
    | ~ c1_1(a158) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f240,plain,
    ( hskp21
    | c3_1(a170) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f241,plain,
    ( hskp21
    | ~ c0_1(a170) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f242,plain,
    ( hskp21
    | ~ c2_1(a170) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f245,plain,
    ( ~ hskp24
    | c1_1(a183) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f247,plain,
    ( hskp25
    | c2_1(a192) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f248,plain,
    ( hskp25
    | c1_1(a192) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f249,plain,
    ( hskp25
    | ~ c3_1(a192) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f251,plain,
    ( hskp26
    | c2_1(a196) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f252,plain,
    ( hskp26
    | ~ c0_1(a196) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f253,plain,
    ( hskp26
    | c1_1(a196) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f255,plain,
    ( hskp27
    | ~ c1_1(a137) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f256,plain,
    ( hskp27
    | c2_1(a137) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f257,plain,
    ( hskp27
    | c3_1(a137) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f259,plain,
    ( hskp28
    | c0_1(a143) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f260,plain,
    ( hskp28
    | c2_1(a143) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f261,plain,
    ( hskp28
    | c3_1(a143) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f263,plain,
    ( hskp29
    | c0_1(a150) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f264,plain,
    ( hskp29
    | ~ c1_1(a150) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f265,plain,
    ( hskp29
    | c3_1(a150) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f270,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f272,plain,
    ! [X6,X7] :
      ( c0_1(X6)
      | ~ c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | c0_1(X7)
      | ~ c1_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f276,plain,
    ! [X12] :
      ( c0_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | hskp4
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f279,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c2_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | c0_1(X18)
      | c2_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f281,plain,
    ! [X20] :
      ( c0_1(X20)
      | c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0
      | ~ hskp12
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f282,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c2_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | c3_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f283,plain,
    ! [X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | ~ hskp28
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f284,plain,
    ! [X24] :
      ( c0_1(X24)
      | c2_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | ~ hskp14
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f286,plain,
    ! [X27] :
      ( c0_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0
      | ~ hskp27
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f287,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c3_1(X28)
      | ~ c2_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | c1_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f288,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c3_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | ~ c1_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c1_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f289,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c3_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | ~ ndr1_0
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f292,plain,
    ! [X39] :
      ( c0_1(X39)
      | c3_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | ~ hskp7
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f293,plain,
    ! [X40,X41] :
      ( c0_1(X40)
      | c1_1(X40)
      | ~ c2_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f294,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | ~ c1_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | c2_1(X44)
      | c1_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f296,plain,
    ! [X48,X47] :
      ( ~ c1_1(X47)
      | c2_1(X47)
      | ~ c0_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | ~ c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f298,plain,
    ! [X51,X52,X53] :
      ( ~ c1_1(X51)
      | c3_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | ~ c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f299,plain,
    ! [X54] :
      ( ~ c1_1(X54)
      | c3_1(X54)
      | ~ c0_1(X54)
      | ~ ndr1_0
      | hskp4
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f300,plain,
    ! [X56,X57,X55] :
      ( ~ c1_1(X55)
      | c3_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | c3_1(X56)
      | c1_1(X56)
      | ~ ndr1_0
      | c2_1(X57)
      | c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f301,plain,
    ! [X58,X59,X60] :
      ( ~ c1_1(X58)
      | c3_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | ~ c0_1(X59)
      | c1_1(X59)
      | ~ ndr1_0
      | c1_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f302,plain,
    ! [X62,X61] :
      ( ~ c1_1(X61)
      | c3_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f303,plain,
    ! [X63] :
      ( ~ c1_1(X63)
      | c3_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | hskp16
      | hskp17 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f305,plain,
    ! [X66] :
      ( ~ c1_1(X66)
      | ~ c0_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | hskp16
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f309,plain,
    ! [X72] :
      ( c2_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f311,plain,
    ! [X76] :
      ( c2_1(X76)
      | ~ c0_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | ~ hskp5
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f313,plain,
    ! [X78,X79] :
      ( c3_1(X78)
      | ~ c0_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | c1_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f314,plain,
    ! [X80] :
      ( c3_1(X80)
      | ~ c0_1(X80)
      | c1_1(X80)
      | ~ ndr1_0
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f316,plain,
    ! [X82] :
      ( ~ c0_1(X82)
      | c1_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | hskp10
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f317,plain,
    ! [X83] :
      ( ~ c0_1(X83)
      | c1_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | ~ hskp25
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f318,plain,
    ! [X84,X85] :
      ( ~ c0_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | c1_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f319,plain,
    ! [X86] :
      ( ~ c0_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | ~ hskp27
      | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f323,plain,
    ( hskp10
    | ~ hskp5
    | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f324,plain,
    ( ~ hskp11
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f325,plain,
    ( ~ hskp12
    | ~ hskp5
    | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f326,plain,
    ! [X84,X85] :
      ( ~ c0_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | c1_1(X85)
      | ~ c2_1(X85)
      | ~ c3_1(X85)
      | ~ hskp1 ),
    inference(duplicate_literal_removal,[],[f318]) ).

fof(f327,plain,
    ! [X78,X79] :
      ( c3_1(X78)
      | ~ c0_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | c1_1(X79)
      | ~ c2_1(X79)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f313]) ).

fof(f329,plain,
    ! [X68,X69] :
      ( c2_1(X68)
      | c3_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f331,plain,
    ! [X62,X61] :
      ( ~ c1_1(X61)
      | c3_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ c3_1(X62)
      | ~ hskp8 ),
    inference(duplicate_literal_removal,[],[f302]) ).

fof(f332,plain,
    ! [X58,X59,X60] :
      ( ~ c1_1(X58)
      | c3_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | ~ c0_1(X59)
      | c1_1(X59)
      | c1_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60) ),
    inference(duplicate_literal_removal,[],[f301]) ).

fof(f333,plain,
    ! [X56,X57,X55] :
      ( ~ c1_1(X55)
      | c3_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | c2_1(X56)
      | c3_1(X56)
      | c1_1(X56)
      | c2_1(X57)
      | c1_1(X57)
      | ~ c3_1(X57) ),
    inference(duplicate_literal_removal,[],[f300]) ).

fof(f334,plain,
    ! [X51,X52,X53] :
      ( ~ c1_1(X51)
      | c3_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ c3_1(X52)
      | c1_1(X53)
      | ~ c2_1(X53)
      | ~ c3_1(X53) ),
    inference(duplicate_literal_removal,[],[f298]) ).

fof(f336,plain,
    ! [X48,X47] :
      ( ~ c1_1(X47)
      | c2_1(X47)
      | ~ c0_1(X47)
      | ~ ndr1_0
      | ~ c0_1(X48)
      | ~ c2_1(X48)
      | ~ c3_1(X48)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f338,plain,
    ! [X44,X42,X43] :
      ( c0_1(X42)
      | ~ c2_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | ~ c1_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | c2_1(X44)
      | c1_1(X44)
      | ~ c3_1(X44) ),
    inference(duplicate_literal_removal,[],[f294]) ).

fof(f339,plain,
    ! [X40,X41] :
      ( c0_1(X40)
      | c1_1(X40)
      | ~ c2_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f293]) ).

fof(f341,plain,
    ! [X34,X33] :
      ( c0_1(X33)
      | c3_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | c3_1(X34)
      | c1_1(X34)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f289]) ).

fof(f342,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c3_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | ~ c1_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | c1_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32) ),
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f343,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c3_1(X28)
      | ~ c2_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | c1_1(X29)
      | ~ c2_1(X29)
      | ~ hskp29 ),
    inference(duplicate_literal_removal,[],[f287]) ).

fof(f345,plain,
    ! [X21,X22] :
      ( c0_1(X21)
      | c2_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | c3_1(X22)
      | ~ c2_1(X22)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f346,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c2_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | c0_1(X18)
      | c2_1(X18)
      | ~ c3_1(X18)
      | ~ hskp27 ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f349,plain,
    ! [X6,X7] :
      ( c0_1(X6)
      | ~ c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | c0_1(X7)
      | ~ c1_1(X7)
      | ~ c3_1(X7)
      | ~ hskp0 ),
    inference(duplicate_literal_removal,[],[f272]) ).

fof(f351,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ c1_1(X2)
      | c2_1(X2)
      | ~ c0_1(X2) ),
    inference(duplicate_literal_removal,[],[f270]) ).

fof(f353,definition,
    ( spl0_1
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f357,definition,
    ( spl0_2
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f361,definition,
    ( spl0_3
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f364,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f325,f361,f357,f353]) ).

fof(f366,definition,
    ( spl0_4
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f370,definition,
    ( spl0_5
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f373,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f324,f370,f366]) ).

fof(f375,definition,
    ( spl0_6
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f379,definition,
    ( spl0_7
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f382,plain,
    ( ~ spl0_6
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f323,f379,f357,f375]) ).

fof(f388,definition,
    ( spl0_9
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f397,definition,
    ( spl0_11
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f406,definition,
    ( spl0_13
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f410,definition,
    ( spl0_14
  <=> ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c2_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f411,plain,
    ( ! [X87] :
        ( c1_1(X87)
        | ~ c3_1(X87)
        | ~ c2_1(X87) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f414,definition,
    ( spl0_15
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f418,definition,
    ( spl0_16
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f422,definition,
    ( spl0_17
  <=> ! [X86] :
        ( ~ c0_1(X86)
        | ~ c3_1(X86)
        | ~ c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f423,plain,
    ( ! [X86] :
        ( ~ c0_1(X86)
        | ~ c3_1(X86)
        | ~ c2_1(X86) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f424,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | ~ spl0_13
    | spl0_17 ),
    inference(avatar_split_clause,[],[f319,f422,f406,f418,f414]) ).

fof(f426,definition,
    ( spl0_18
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f429,plain,
    ( ~ spl0_18
    | spl0_14
    | ~ spl0_13
    | spl0_17 ),
    inference(avatar_split_clause,[],[f326,f422,f406,f410,f426]) ).

fof(f431,definition,
    ( spl0_19
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f435,definition,
    ( spl0_20
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f439,definition,
    ( spl0_21
  <=> ! [X83] :
        ( ~ c0_1(X83)
        | ~ c3_1(X83)
        | c1_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f440,plain,
    ( ! [X83] :
        ( c1_1(X83)
        | ~ c3_1(X83)
        | ~ c0_1(X83) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f441,plain,
    ( spl0_19
    | ~ spl0_20
    | ~ spl0_13
    | spl0_21 ),
    inference(avatar_split_clause,[],[f317,f439,f406,f435,f431]) ).

fof(f442,plain,
    ( ~ spl0_1
    | spl0_7
    | ~ spl0_13
    | spl0_21 ),
    inference(avatar_split_clause,[],[f316,f439,f406,f379,f353]) ).

fof(f444,definition,
    ( spl0_22
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f452,definition,
    ( spl0_24
  <=> ! [X81] :
        ( ~ c0_1(X81)
        | ~ c2_1(X81)
        | c1_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f453,plain,
    ( ! [X81] :
        ( c1_1(X81)
        | ~ c2_1(X81)
        | ~ c0_1(X81) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f456,definition,
    ( spl0_25
  <=> ! [X80] :
        ( c3_1(X80)
        | c1_1(X80)
        | ~ c0_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f457,plain,
    ( ! [X80] :
        ( c1_1(X80)
        | c3_1(X80)
        | ~ c0_1(X80) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f458,plain,
    ( ~ spl0_3
    | ~ spl0_13
    | spl0_25 ),
    inference(avatar_split_clause,[],[f314,f456,f406,f361]) ).

fof(f459,plain,
    ( spl0_22
    | spl0_24
    | ~ spl0_13
    | spl0_25 ),
    inference(avatar_split_clause,[],[f327,f456,f406,f452,f444]) ).

fof(f461,definition,
    ( spl0_26
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f465,definition,
    ( spl0_27
  <=> ! [X77] :
        ( c2_1(X77)
        | ~ c3_1(X77)
        | c1_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f466,plain,
    ( ! [X77] :
        ( c1_1(X77)
        | ~ c3_1(X77)
        | c2_1(X77) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f469,definition,
    ( spl0_28
  <=> ! [X76] :
        ( c2_1(X76)
        | ~ c3_1(X76)
        | ~ c0_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | ~ c3_1(X76)
        | c2_1(X76) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f471,plain,
    ( spl0_19
    | ~ spl0_2
    | ~ spl0_13
    | spl0_28 ),
    inference(avatar_split_clause,[],[f311,f469,f406,f357,f431]) ).

fof(f477,definition,
    ( spl0_30
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f487,definition,
    ( spl0_32
  <=> ! [X72] :
        ( c2_1(X72)
        | c1_1(X72)
        | ~ c0_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X72] :
        ( c1_1(X72)
        | c2_1(X72)
        | ~ c0_1(X72) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f489,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_32 ),
    inference(avatar_split_clause,[],[f309,f487,f406,f353]) ).

fof(f491,definition,
    ( spl0_33
  <=> ! [X71] :
        ( c2_1(X71)
        | c1_1(X71)
        | c3_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f492,plain,
    ( ! [X71] :
        ( c1_1(X71)
        | c2_1(X71)
        | c3_1(X71) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f495,definition,
    ( spl0_34
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f499,definition,
    ( spl0_35
  <=> ! [X70] :
        ( c2_1(X70)
        | ~ c0_1(X70)
        | c3_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f500,plain,
    ( ! [X70] :
        ( ~ c0_1(X70)
        | c2_1(X70)
        | c3_1(X70) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f503,definition,
    ( spl0_36
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f506,plain,
    ( spl0_36
    | spl0_28
    | ~ spl0_13
    | spl0_35 ),
    inference(avatar_split_clause,[],[f329,f499,f406,f469,f503]) ).

fof(f508,definition,
    ( spl0_37
  <=> ! [X67] :
        ( ~ c1_1(X67)
        | ~ c3_1(X67)
        | ~ c0_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f509,plain,
    ( ! [X67] :
        ( ~ c1_1(X67)
        | ~ c3_1(X67)
        | ~ c0_1(X67) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f511,plain,
    ( ~ spl0_9
    | spl0_30
    | ~ spl0_13
    | spl0_37 ),
    inference(avatar_split_clause,[],[f305,f508,f406,f477,f388]) ).

fof(f521,definition,
    ( spl0_40
  <=> ! [X63] :
        ( ~ c1_1(X63)
        | ~ c2_1(X63)
        | c3_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f522,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | ~ c2_1(X63)
        | c3_1(X63) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f521]) ).

fof(f523,plain,
    ( spl0_36
    | spl0_30
    | ~ spl0_13
    | spl0_40 ),
    inference(avatar_split_clause,[],[f303,f521,f406,f477,f503]) ).

fof(f524,plain,
    ( ~ spl0_4
    | spl0_28
    | ~ spl0_13
    | spl0_40 ),
    inference(avatar_split_clause,[],[f331,f521,f406,f469,f366]) ).

fof(f525,plain,
    ( spl0_14
    | spl0_32
    | ~ spl0_13
    | spl0_40 ),
    inference(avatar_split_clause,[],[f332,f521,f406,f487,f410]) ).

fof(f526,plain,
    ( spl0_27
    | spl0_33
    | ~ spl0_13
    | spl0_40 ),
    inference(avatar_split_clause,[],[f333,f521,f406,f491,f465]) ).

fof(f528,definition,
    ( spl0_41
  <=> ! [X54] :
        ( ~ c1_1(X54)
        | ~ c0_1(X54)
        | c3_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f529,plain,
    ( ! [X54] :
        ( ~ c1_1(X54)
        | ~ c0_1(X54)
        | c3_1(X54) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f530,plain,
    ( ~ spl0_2
    | spl0_26
    | ~ spl0_13
    | spl0_41 ),
    inference(avatar_split_clause,[],[f299,f528,f406,f461,f357]) ).

fof(f531,plain,
    ( spl0_14
    | spl0_28
    | ~ spl0_13
    | spl0_41 ),
    inference(avatar_split_clause,[],[f334,f528,f406,f469,f410]) ).

fof(f534,definition,
    ( spl0_42
  <=> ! [X47] :
        ( ~ c1_1(X47)
        | ~ c0_1(X47)
        | c2_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f535,plain,
    ( ! [X47] :
        ( ~ c1_1(X47)
        | ~ c0_1(X47)
        | c2_1(X47) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f536,plain,
    ( spl0_30
    | spl0_17
    | ~ spl0_13
    | spl0_42 ),
    inference(avatar_split_clause,[],[f336,f534,f406,f422,f477]) ).

fof(f538,definition,
    ( spl0_43
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f542,definition,
    ( spl0_44
  <=> ! [X45] :
        ( ~ c1_1(X45)
        | c3_1(X45)
        | c2_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f543,plain,
    ( ! [X45] :
        ( ~ c1_1(X45)
        | c3_1(X45)
        | c2_1(X45) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f546,definition,
    ( spl0_45
  <=> ! [X43] :
        ( ~ c1_1(X43)
        | ~ c3_1(X43)
        | c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f547,plain,
    ( ! [X43] :
        ( ~ c1_1(X43)
        | ~ c3_1(X43)
        | c2_1(X43) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f549,definition,
    ( spl0_46
  <=> ! [X42] :
        ( c0_1(X42)
        | ~ c3_1(X42)
        | ~ c2_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f550,plain,
    ( ! [X42] :
        ( c0_1(X42)
        | ~ c3_1(X42)
        | ~ c2_1(X42) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f551,plain,
    ( spl0_27
    | spl0_45
    | ~ spl0_13
    | spl0_46 ),
    inference(avatar_split_clause,[],[f338,f549,f406,f546,f465]) ).

fof(f553,definition,
    ( spl0_47
  <=> ! [X40] :
        ( c0_1(X40)
        | ~ c2_1(X40)
        | c1_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f554,plain,
    ( ! [X40] :
        ( c1_1(X40)
        | ~ c2_1(X40)
        | c0_1(X40) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f555,plain,
    ( spl0_11
    | spl0_17
    | ~ spl0_13
    | spl0_47 ),
    inference(avatar_split_clause,[],[f339,f553,f406,f422,f397]) ).

fof(f557,definition,
    ( spl0_48
  <=> ! [X39] :
        ( c0_1(X39)
        | ~ c2_1(X39)
        | c3_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f558,plain,
    ( ! [X39] :
        ( c0_1(X39)
        | ~ c2_1(X39)
        | c3_1(X39) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f559,plain,
    ( spl0_36
    | ~ spl0_43
    | ~ spl0_13
    | spl0_48 ),
    inference(avatar_split_clause,[],[f292,f557,f406,f538,f503]) ).

fof(f562,definition,
    ( spl0_49
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f567,definition,
    ( spl0_50
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f571,plain,
    ( spl0_30
    | spl0_33
    | ~ spl0_13
    | spl0_48 ),
    inference(avatar_split_clause,[],[f341,f557,f406,f491,f477]) ).

fof(f572,plain,
    ( spl0_14
    | spl0_44
    | ~ spl0_13
    | spl0_48 ),
    inference(avatar_split_clause,[],[f342,f557,f406,f542,f410]) ).

fof(f573,plain,
    ( ~ spl0_49
    | spl0_47
    | ~ spl0_13
    | spl0_48 ),
    inference(avatar_split_clause,[],[f343,f557,f406,f553,f562]) ).

fof(f575,definition,
    ( spl0_51
  <=> ! [X27] :
        ( c0_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f576,plain,
    ( ! [X27] :
        ( c1_1(X27)
        | c0_1(X27)
        | c3_1(X27) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f577,plain,
    ( ~ spl0_1
    | ~ spl0_16
    | ~ spl0_13
    | spl0_51 ),
    inference(avatar_split_clause,[],[f286,f575,f406,f418,f353]) ).

fof(f583,definition,
    ( spl0_53
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f587,definition,
    ( spl0_54
  <=> ! [X24] :
        ( c0_1(X24)
        | ~ c3_1(X24)
        | c2_1(X24) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f588,plain,
    ( ! [X24] :
        ( c0_1(X24)
        | ~ c3_1(X24)
        | c2_1(X24) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( spl0_34
    | ~ spl0_53
    | ~ spl0_13
    | spl0_54 ),
    inference(avatar_split_clause,[],[f284,f587,f406,f583,f495]) ).

fof(f590,plain,
    ( spl0_22
    | ~ spl0_50
    | ~ spl0_13
    | spl0_54 ),
    inference(avatar_split_clause,[],[f283,f587,f406,f567,f444]) ).

fof(f591,plain,
    ( spl0_34
    | spl0_40
    | ~ spl0_13
    | spl0_54 ),
    inference(avatar_split_clause,[],[f345,f587,f406,f521,f495]) ).

fof(f593,definition,
    ( spl0_55
  <=> ! [X20] :
        ( c0_1(X20)
        | c1_1(X20)
        | c2_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f594,plain,
    ( ! [X20] :
        ( c1_1(X20)
        | c0_1(X20)
        | c2_1(X20) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f595,plain,
    ( ~ spl0_4
    | ~ spl0_3
    | ~ spl0_13
    | spl0_55 ),
    inference(avatar_split_clause,[],[f281,f593,f406,f361,f366]) ).

fof(f598,definition,
    ( spl0_56
  <=> ! [X17] :
        ( c0_1(X17)
        | c3_1(X17)
        | c2_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f599,plain,
    ( ! [X17] :
        ( c0_1(X17)
        | c3_1(X17)
        | c2_1(X17) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f600,plain,
    ( ~ spl0_16
    | spl0_54
    | ~ spl0_13
    | spl0_56 ),
    inference(avatar_split_clause,[],[f346,f598,f406,f587,f418]) ).

fof(f603,definition,
    ( spl0_57
  <=> ! [X14] :
        ( c0_1(X14)
        | ~ c3_1(X14)
        | ~ c1_1(X14) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f604,plain,
    ( ! [X14] :
        ( ~ c1_1(X14)
        | ~ c3_1(X14)
        | c0_1(X14) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f607,plain,
    ( ~ spl0_2
    | spl0_26
    | ~ spl0_13
    | spl0_57 ),
    inference(avatar_split_clause,[],[f276,f603,f406,f461,f357]) ).

fof(f621,definition,
    ( spl0_61
  <=> ! [X8] :
        ( c0_1(X8)
        | c3_1(X8)
        | ~ c1_1(X8) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f622,plain,
    ( ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | c0_1(X8) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f624,plain,
    ( ~ spl0_6
    | spl0_57
    | ~ spl0_13
    | spl0_61 ),
    inference(avatar_split_clause,[],[f349,f621,f406,f603,f375]) ).

fof(f626,definition,
    ( spl0_62
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f627,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | c2_1(X3)
        | c0_1(X3) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f629,plain,
    ( spl0_42
    | spl0_61
    | ~ spl0_13
    | spl0_62 ),
    inference(avatar_split_clause,[],[f351,f626,f406,f621,f534]) ).

fof(f647,definition,
    ( spl0_66
  <=> c3_1(a150) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f650,plain,
    ( spl0_66
    | spl0_49 ),
    inference(avatar_split_clause,[],[f265,f562,f647]) ).

fof(f652,definition,
    ( spl0_67
  <=> c1_1(a150) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f654,plain,
    ( ~ c1_1(a150)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f655,plain,
    ( ~ spl0_67
    | spl0_49 ),
    inference(avatar_split_clause,[],[f264,f562,f652]) ).

fof(f657,definition,
    ( spl0_68
  <=> c0_1(a150) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f659,plain,
    ( c0_1(a150)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f660,plain,
    ( spl0_68
    | spl0_49 ),
    inference(avatar_split_clause,[],[f263,f562,f657]) ).

fof(f663,definition,
    ( spl0_69
  <=> c3_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f665,plain,
    ( c3_1(a143)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f666,plain,
    ( spl0_69
    | spl0_50 ),
    inference(avatar_split_clause,[],[f261,f567,f663]) ).

fof(f668,definition,
    ( spl0_70
  <=> c2_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f671,plain,
    ( spl0_70
    | spl0_50 ),
    inference(avatar_split_clause,[],[f260,f567,f668]) ).

fof(f673,definition,
    ( spl0_71
  <=> c0_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f675,plain,
    ( c0_1(a143)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f673]) ).

fof(f676,plain,
    ( spl0_71
    | spl0_50 ),
    inference(avatar_split_clause,[],[f259,f567,f673]) ).

fof(f679,definition,
    ( spl0_72
  <=> c3_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f682,plain,
    ( spl0_72
    | spl0_16 ),
    inference(avatar_split_clause,[],[f257,f418,f679]) ).

fof(f684,definition,
    ( spl0_73
  <=> c2_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f687,plain,
    ( spl0_73
    | spl0_16 ),
    inference(avatar_split_clause,[],[f256,f418,f684]) ).

fof(f689,definition,
    ( spl0_74
  <=> c1_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f691,plain,
    ( ~ c1_1(a137)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f692,plain,
    ( ~ spl0_74
    | spl0_16 ),
    inference(avatar_split_clause,[],[f255,f418,f689]) ).

fof(f695,definition,
    ( spl0_75
  <=> c1_1(a196) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f697,plain,
    ( c1_1(a196)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f698,plain,
    ( spl0_75
    | spl0_15 ),
    inference(avatar_split_clause,[],[f253,f414,f695]) ).

fof(f700,definition,
    ( spl0_76
  <=> c0_1(a196) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f702,plain,
    ( ~ c0_1(a196)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f703,plain,
    ( ~ spl0_76
    | spl0_15 ),
    inference(avatar_split_clause,[],[f252,f414,f700]) ).

fof(f705,definition,
    ( spl0_77
  <=> c2_1(a196) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f708,plain,
    ( spl0_77
    | spl0_15 ),
    inference(avatar_split_clause,[],[f251,f414,f705]) ).

fof(f711,definition,
    ( spl0_78
  <=> c3_1(a192) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f714,plain,
    ( ~ spl0_78
    | spl0_20 ),
    inference(avatar_split_clause,[],[f249,f435,f711]) ).

fof(f716,definition,
    ( spl0_79
  <=> c1_1(a192) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f718,plain,
    ( c1_1(a192)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f719,plain,
    ( spl0_79
    | spl0_20 ),
    inference(avatar_split_clause,[],[f248,f435,f716]) ).

fof(f721,definition,
    ( spl0_80
  <=> c2_1(a192) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f724,plain,
    ( spl0_80
    | spl0_20 ),
    inference(avatar_split_clause,[],[f247,f435,f721]) ).

fof(f727,definition,
    ( spl0_81
  <=> c3_1(a183) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f730,plain,
    ( ~ spl0_81
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f90,f431,f727]) ).

fof(f732,definition,
    ( spl0_82
  <=> c2_1(a183) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ spl0_82
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f91,f431,f732]) ).

fof(f737,definition,
    ( spl0_83
  <=> c1_1(a183) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f739,plain,
    ( c1_1(a183)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f740,plain,
    ( spl0_83
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f245,f431,f737]) ).

fof(f775,definition,
    ( spl0_90
  <=> c2_1(a170) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f778,plain,
    ( ~ spl0_90
    | spl0_9 ),
    inference(avatar_split_clause,[],[f242,f388,f775]) ).

fof(f780,definition,
    ( spl0_91
  <=> c0_1(a170) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f782,plain,
    ( ~ c0_1(a170)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f783,plain,
    ( ~ spl0_91
    | spl0_9 ),
    inference(avatar_split_clause,[],[f241,f388,f780]) ).

fof(f785,definition,
    ( spl0_92
  <=> c3_1(a170) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f788,plain,
    ( spl0_92
    | spl0_9 ),
    inference(avatar_split_clause,[],[f240,f388,f785]) ).

fof(f823,definition,
    ( spl0_99
  <=> c3_1(a159) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f826,plain,
    ( ~ spl0_99
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f114,f397,f823]) ).

fof(f828,definition,
    ( spl0_100
  <=> c2_1(a159) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f831,plain,
    ( ~ spl0_100
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f115,f397,f828]) ).

fof(f833,definition,
    ( spl0_101
  <=> c0_1(a159) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f835,plain,
    ( c0_1(a159)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( spl0_101
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f116,f397,f833]) ).

fof(f839,definition,
    ( spl0_102
  <=> c3_1(a158) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f842,plain,
    ( ~ spl0_102
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f118,f503,f839]) ).

fof(f844,definition,
    ( spl0_103
  <=> c2_1(a158) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f847,plain,
    ( ~ spl0_103
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f119,f503,f844]) ).

fof(f849,definition,
    ( spl0_104
  <=> c1_1(a158) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f851,plain,
    ( ~ c1_1(a158)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f852,plain,
    ( ~ spl0_104
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f234,f503,f849]) ).

fof(f855,definition,
    ( spl0_105
  <=> c2_1(a151) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f858,plain,
    ( ~ spl0_105
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f122,f477,f855]) ).

fof(f860,definition,
    ( spl0_106
  <=> c1_1(a151) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f862,plain,
    ( ~ c1_1(a151)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f863,plain,
    ( ~ spl0_106
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f233,f477,f860]) ).

fof(f865,definition,
    ( spl0_107
  <=> c0_1(a151) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f868,plain,
    ( spl0_107
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f124,f477,f865]) ).

fof(f871,definition,
    ( spl0_108
  <=> c2_1(a149) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f874,plain,
    ( ~ spl0_108
    | spl0_1 ),
    inference(avatar_split_clause,[],[f232,f353,f871]) ).

fof(f876,definition,
    ( spl0_109
  <=> c1_1(a149) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f878,plain,
    ( c1_1(a149)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f879,plain,
    ( spl0_109
    | spl0_1 ),
    inference(avatar_split_clause,[],[f231,f353,f876]) ).

fof(f881,definition,
    ( spl0_110
  <=> c3_1(a149) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f884,plain,
    ( spl0_110
    | spl0_1 ),
    inference(avatar_split_clause,[],[f230,f353,f881]) ).

fof(f885,plain,
    ( spl0_13
    | spl0_1 ),
    inference(avatar_split_clause,[],[f229,f353,f406]) ).

fof(f887,definition,
    ( spl0_111
  <=> c3_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f890,plain,
    ( ~ spl0_111
    | spl0_53 ),
    inference(avatar_split_clause,[],[f228,f583,f887]) ).

fof(f892,definition,
    ( spl0_112
  <=> c1_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f894,plain,
    ( c1_1(a145)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f895,plain,
    ( spl0_112
    | spl0_53 ),
    inference(avatar_split_clause,[],[f227,f583,f892]) ).

fof(f897,definition,
    ( spl0_113
  <=> c0_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f899,plain,
    ( ~ c0_1(a145)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f900,plain,
    ( ~ spl0_113
    | spl0_53 ),
    inference(avatar_split_clause,[],[f226,f583,f897]) ).

fof(f903,definition,
    ( spl0_114
  <=> c3_1(a144) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f906,plain,
    ( ~ spl0_114
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f134,f444,f903]) ).

fof(f908,definition,
    ( spl0_115
  <=> c0_1(a144) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f910,plain,
    ( ~ c0_1(a144)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f911,plain,
    ( ~ spl0_115
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f135,f444,f908]) ).

fof(f913,definition,
    ( spl0_116
  <=> c2_1(a144) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f916,plain,
    ( spl0_116
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f136,f444,f913]) ).

fof(f919,definition,
    ( spl0_117
  <=> c0_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ c0_1(a140)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f922,plain,
    ( ~ spl0_117
    | spl0_3 ),
    inference(avatar_split_clause,[],[f224,f361,f919]) ).

fof(f924,definition,
    ( spl0_118
  <=> c3_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f926,plain,
    ( c3_1(a140)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f927,plain,
    ( spl0_118
    | spl0_3 ),
    inference(avatar_split_clause,[],[f223,f361,f924]) ).

fof(f929,definition,
    ( spl0_119
  <=> c1_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f931,plain,
    ( ~ c1_1(a140)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f932,plain,
    ( ~ spl0_119
    | spl0_3 ),
    inference(avatar_split_clause,[],[f222,f361,f929]) ).

fof(f935,definition,
    ( spl0_120
  <=> c3_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f938,plain,
    ( ~ spl0_120
    | spl0_5 ),
    inference(avatar_split_clause,[],[f220,f370,f935]) ).

fof(f940,definition,
    ( spl0_121
  <=> c1_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f942,plain,
    ( c1_1(a139)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f943,plain,
    ( spl0_121
    | spl0_5 ),
    inference(avatar_split_clause,[],[f219,f370,f940]) ).

fof(f945,definition,
    ( spl0_122
  <=> c0_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f947,plain,
    ( c0_1(a139)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f945]) ).

fof(f948,plain,
    ( spl0_122
    | spl0_5 ),
    inference(avatar_split_clause,[],[f218,f370,f945]) ).

fof(f951,definition,
    ( spl0_123
  <=> c1_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f953,plain,
    ( c1_1(a138)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f954,plain,
    ( spl0_123
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f216,f379,f951]) ).

fof(f956,definition,
    ( spl0_124
  <=> c3_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f959,plain,
    ( spl0_124
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f147,f379,f956]) ).

fof(f961,definition,
    ( spl0_125
  <=> c0_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f963,plain,
    ( c0_1(a138)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f964,plain,
    ( spl0_125
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f148,f379,f961]) ).

fof(f965,plain,
    ( spl0_13
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f149,f379,f406]) ).

fof(f983,definition,
    ( spl0_129
  <=> c1_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f985,plain,
    ( c1_1(a135)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f986,plain,
    ( spl0_129
    | spl0_4 ),
    inference(avatar_split_clause,[],[f215,f366,f983]) ).

fof(f988,definition,
    ( spl0_130
  <=> c3_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f990,plain,
    ( c3_1(a135)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f991,plain,
    ( spl0_130
    | spl0_4 ),
    inference(avatar_split_clause,[],[f214,f366,f988]) ).

fof(f993,definition,
    ( spl0_131
  <=> c2_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f996,plain,
    ( spl0_131
    | spl0_4 ),
    inference(avatar_split_clause,[],[f213,f366,f993]) ).

fof(f999,definition,
    ( spl0_132
  <=> c3_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1002,plain,
    ( ~ spl0_132
    | spl0_43 ),
    inference(avatar_split_clause,[],[f211,f538,f999]) ).

fof(f1004,definition,
    ( spl0_133
  <=> c0_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1007,plain,
    ( ~ spl0_133
    | spl0_43 ),
    inference(avatar_split_clause,[],[f210,f538,f1004]) ).

fof(f1009,definition,
    ( spl0_134
  <=> c1_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1011,plain,
    ( ~ c1_1(a134)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1012,plain,
    ( ~ spl0_134
    | spl0_43 ),
    inference(avatar_split_clause,[],[f209,f538,f1009]) ).

fof(f1031,definition,
    ( spl0_138
  <=> c2_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1034,plain,
    ( ~ spl0_138
    | spl0_2 ),
    inference(avatar_split_clause,[],[f203,f357,f1031]) ).

fof(f1036,definition,
    ( spl0_139
  <=> c3_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1039,plain,
    ( spl0_139
    | spl0_2 ),
    inference(avatar_split_clause,[],[f202,f357,f1036]) ).

fof(f1041,definition,
    ( spl0_140
  <=> c1_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1043,plain,
    ( ~ c1_1(a131)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1044,plain,
    ( ~ spl0_140
    | spl0_2 ),
    inference(avatar_split_clause,[],[f201,f357,f1041]) ).

fof(f1045,plain,
    ( spl0_13
    | spl0_2 ),
    inference(avatar_split_clause,[],[f200,f357,f406]) ).

fof(f1047,definition,
    ( spl0_141
  <=> c3_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1050,plain,
    ( ~ spl0_141
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f170,f461,f1047]) ).

fof(f1052,definition,
    ( spl0_142
  <=> c2_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1055,plain,
    ( spl0_142
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f171,f461,f1052]) ).

fof(f1057,definition,
    ( spl0_143
  <=> c1_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1059,plain,
    ( ~ c1_1(a130)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f1060,plain,
    ( ~ spl0_143
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f199,f461,f1057]) ).

fof(f1063,definition,
    ( spl0_144
  <=> c3_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1066,plain,
    ( ~ spl0_144
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f174,f495,f1063]) ).

fof(f1068,definition,
    ( spl0_145
  <=> c2_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1071,plain,
    ( ~ spl0_145
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f175,f495,f1068]) ).

fof(f1073,definition,
    ( spl0_146
  <=> c0_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1075,plain,
    ( ~ c0_1(a128)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1076,plain,
    ( ~ spl0_146
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f176,f495,f1073]) ).

fof(f1095,definition,
    ( spl0_150
  <=> c3_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1098,plain,
    ( ~ spl0_150
    | spl0_18 ),
    inference(avatar_split_clause,[],[f197,f426,f1095]) ).

fof(f1100,definition,
    ( spl0_151
  <=> c1_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1102,plain,
    ( ~ c1_1(a125)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f1100]) ).

fof(f1103,plain,
    ( ~ spl0_151
    | spl0_18 ),
    inference(avatar_split_clause,[],[f196,f426,f1100]) ).

fof(f1105,definition,
    ( spl0_152
  <=> c0_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1108,plain,
    ( spl0_152
    | spl0_18 ),
    inference(avatar_split_clause,[],[f195,f426,f1105]) ).

fof(f1111,definition,
    ( spl0_153
  <=> c0_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1113,plain,
    ( ~ c0_1(a124)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f1114,plain,
    ( ~ spl0_153
    | spl0_6 ),
    inference(avatar_split_clause,[],[f193,f375,f1111]) ).

fof(f1116,definition,
    ( spl0_154
  <=> c3_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1119,plain,
    ( spl0_154
    | spl0_6 ),
    inference(avatar_split_clause,[],[f192,f375,f1116]) ).

fof(f1121,definition,
    ( spl0_155
  <=> c2_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1124,plain,
    ( spl0_155
    | spl0_6 ),
    inference(avatar_split_clause,[],[f191,f375,f1121]) ).

fof(f1125,plain,
    ( spl0_13
    | spl0_6 ),
    inference(avatar_split_clause,[],[f190,f375,f406]) ).

fof(f1143,plain,
    ( ~ c3_1(a137)
    | ~ c2_1(a137)
    | ~ spl0_14
    | spl0_74 ),
    inference(resolution,[],[f411,f691]) ).

fof(f1147,plain,
    ( ~ c3_1(a138)
    | ~ c2_1(a138)
    | ~ spl0_17
    | ~ spl0_125 ),
    inference(resolution,[],[f423,f963]) ).

fof(f1149,definition,
    ( spl0_156
  <=> c2_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1152,plain,
    ( ~ spl0_156
    | ~ spl0_124
    | ~ spl0_17
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1147,f961,f422,f956,f1149]) ).

fof(f1156,plain,
    ( ~ c3_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_21
    | spl0_140 ),
    inference(resolution,[],[f440,f1043]) ).

fof(f1175,plain,
    ( ~ c2_1(a130)
    | ~ c0_1(a130)
    | ~ spl0_24
    | spl0_143 ),
    inference(resolution,[],[f453,f1059]) ).

fof(f1193,plain,
    ( c3_1(a125)
    | ~ c0_1(a125)
    | ~ spl0_25
    | spl0_151 ),
    inference(resolution,[],[f457,f1102]) ).

fof(f1195,plain,
    ( c3_1(a130)
    | ~ c0_1(a130)
    | ~ spl0_25
    | spl0_143 ),
    inference(resolution,[],[f457,f1059]) ).

fof(f1202,plain,
    ( c3_1(a151)
    | ~ c0_1(a151)
    | ~ spl0_25
    | spl0_106 ),
    inference(resolution,[],[f457,f862]) ).

fof(f1203,plain,
    ( c3_1(a158)
    | ~ c0_1(a158)
    | ~ spl0_25
    | spl0_104 ),
    inference(resolution,[],[f457,f851]) ).

fof(f1214,definition,
    ( spl0_157
  <=> c0_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1216,plain,
    ( ~ c0_1(a137)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1214]) ).

fof(f1224,definition,
    ( spl0_159
  <=> c0_1(a183) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1229,definition,
    ( spl0_160
  <=> c0_1(a158) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1232,plain,
    ( ~ spl0_160
    | spl0_102
    | ~ spl0_25
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1203,f849,f456,f839,f1229]) ).

fof(f1234,definition,
    ( spl0_161
  <=> c0_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1235,plain,
    ( c0_1(a135)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f1239,definition,
    ( spl0_162
  <=> c0_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1241,plain,
    ( ~ c0_1(a131)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f1244,definition,
    ( spl0_163
  <=> c0_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1246,plain,
    ( ~ c0_1(a130)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1244]) ).

fof(f1247,plain,
    ( ~ spl0_163
    | spl0_141
    | ~ spl0_25
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1195,f1057,f456,f1047,f1244]) ).

fof(f1251,plain,
    ( ~ c3_1(a131)
    | c2_1(a131)
    | ~ spl0_27
    | spl0_140 ),
    inference(resolution,[],[f466,f1043]) ).

fof(f1255,plain,
    ( ~ c3_1(a140)
    | c2_1(a140)
    | ~ spl0_27
    | spl0_119 ),
    inference(resolution,[],[f466,f931]) ).

fof(f1257,plain,
    ( ~ c3_1(a151)
    | c2_1(a151)
    | ~ spl0_27
    | spl0_106 ),
    inference(resolution,[],[f466,f862]) ).

fof(f1274,definition,
    ( spl0_165
  <=> c3_1(a196) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1294,definition,
    ( spl0_169
  <=> c3_1(a151) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1297,plain,
    ( spl0_105
    | ~ spl0_169
    | ~ spl0_27
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1257,f860,f465,f1294,f855]) ).

fof(f1316,plain,
    ( c2_1(a134)
    | c3_1(a134)
    | ~ spl0_33
    | spl0_134 ),
    inference(resolution,[],[f492,f1011]) ).

fof(f1321,plain,
    ( c2_1(a158)
    | c3_1(a158)
    | ~ spl0_33
    | spl0_104 ),
    inference(resolution,[],[f492,f851]) ).

fof(f1332,definition,
    ( spl0_172
  <=> c2_1(a150) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1341,plain,
    ( spl0_102
    | spl0_103
    | ~ spl0_33
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1321,f849,f491,f844,f839]) ).

fof(f1344,definition,
    ( spl0_173
  <=> c2_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1349,definition,
    ( spl0_174
  <=> c2_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1355,definition,
    ( spl0_175
  <=> c2_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1364,definition,
    ( spl0_176
  <=> c2_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1373,plain,
    ( ~ c3_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_37
    | ~ spl0_123 ),
    inference(resolution,[],[f509,f953]) ).

fof(f1383,definition,
    ( spl0_177
  <=> c0_1(a149) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1384,plain,
    ( c0_1(a149)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1383]) ).

fof(f1385,plain,
    ( ~ c0_1(a149)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f1383]) ).

fof(f1387,plain,
    ( ~ spl0_125
    | ~ spl0_124
    | ~ spl0_37
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1373,f951,f508,f956,f961]) ).

fof(f1394,plain,
    ( ~ c2_1(a139)
    | c3_1(a139)
    | ~ spl0_40
    | ~ spl0_121 ),
    inference(resolution,[],[f522,f942]) ).

fof(f1401,definition,
    ( spl0_178
  <=> c2_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1404,plain,
    ( spl0_120
    | ~ spl0_178
    | ~ spl0_40
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1394,f940,f521,f1401,f935]) ).

fof(f1422,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(resolution,[],[f554,f522]) ).

fof(f1428,plain,
    ( ~ c2_1(a134)
    | c0_1(a134)
    | ~ spl0_47
    | spl0_134 ),
    inference(resolution,[],[f554,f1011]) ).

fof(f1429,plain,
    ( ~ c2_1(a140)
    | c0_1(a140)
    | ~ spl0_47
    | spl0_119 ),
    inference(resolution,[],[f554,f931]) ).

fof(f1441,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1422]) ).

fof(f1449,plain,
    ( ~ c2_1(a130)
    | c3_1(a130)
    | ~ spl0_48
    | spl0_163 ),
    inference(resolution,[],[f558,f1246]) ).

fof(f1481,plain,
    ( ~ c3_1(a150)
    | ~ c2_1(a150)
    | ~ spl0_17
    | ~ spl0_68 ),
    inference(resolution,[],[f659,f423]) ).

fof(f1485,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_46 ),
    inference(resolution,[],[f550,f423]) ).

fof(f1486,plain,
    ( ~ c3_1(a124)
    | ~ c2_1(a124)
    | ~ spl0_46
    | spl0_153 ),
    inference(resolution,[],[f550,f1113]) ).

fof(f1510,plain,
    ( ~ c3_1(a196)
    | ~ c2_1(a196)
    | ~ spl0_46
    | spl0_76 ),
    inference(resolution,[],[f550,f702]) ).

fof(f1511,plain,
    ( ~ c3_1(a137)
    | ~ c2_1(a137)
    | ~ spl0_46
    | spl0_157 ),
    inference(resolution,[],[f550,f1216]) ).

fof(f1514,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1485]) ).

fof(f1539,plain,
    ( spl0_141
    | ~ spl0_142
    | ~ spl0_48
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1449,f1244,f557,f1052,f1047]) ).

fof(f1540,plain,
    ( spl0_174
    | ~ spl0_118
    | ~ spl0_27
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1255,f929,f465,f924,f1349]) ).

fof(f1541,plain,
    ( ~ spl0_163
    | ~ spl0_142
    | ~ spl0_24
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1175,f1057,f452,f1052,f1244]) ).

fof(f1547,plain,
    ( ~ c3_1(a135)
    | ~ c2_1(a135)
    | ~ spl0_17
    | ~ spl0_161 ),
    inference(resolution,[],[f1235,f423]) ).

fof(f1551,plain,
    ( ~ c2_1(a135)
    | ~ spl0_17
    | ~ spl0_46
    | ~ spl0_130 ),
    inference(resolution,[],[f1514,f990]) ).

fof(f1552,plain,
    ( ~ c2_1(a140)
    | ~ spl0_17
    | ~ spl0_46
    | ~ spl0_118 ),
    inference(resolution,[],[f1514,f926]) ).

fof(f1557,plain,
    ( ~ spl0_174
    | ~ spl0_17
    | ~ spl0_46
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1552,f924,f549,f422,f1349]) ).

fof(f1558,plain,
    ( ~ spl0_131
    | ~ spl0_17
    | ~ spl0_46
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1551,f988,f549,f422,f993]) ).

fof(f1565,plain,
    ( ~ spl0_131
    | ~ spl0_130
    | ~ spl0_17
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1547,f1234,f422,f988,f993]) ).

fof(f1581,plain,
    ( ~ c2_1(a137)
    | ~ c0_1(a137)
    | ~ spl0_24
    | spl0_74 ),
    inference(resolution,[],[f453,f691]) ).

fof(f1601,plain,
    ( ~ c3_1(a150)
    | c2_1(a150)
    | ~ spl0_27
    | spl0_67 ),
    inference(resolution,[],[f466,f654]) ).

fof(f1604,plain,
    ( ~ c3_1(a138)
    | c2_1(a138)
    | ~ spl0_28
    | ~ spl0_125 ),
    inference(resolution,[],[f470,f963]) ).

fof(f1609,plain,
    ( c2_1(a125)
    | ~ c0_1(a125)
    | ~ spl0_32
    | spl0_151 ),
    inference(resolution,[],[f488,f1102]) ).

fof(f1617,plain,
    ( c2_1(a151)
    | ~ c0_1(a151)
    | ~ spl0_32
    | spl0_106 ),
    inference(resolution,[],[f488,f862]) ).

fof(f1685,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_40
    | ~ spl0_51 ),
    inference(resolution,[],[f576,f522]) ).

fof(f1705,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_40
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1685]) ).

fof(f1728,plain,
    ( ~ c3_1(a131)
    | c2_1(a131)
    | ~ spl0_54
    | spl0_162 ),
    inference(resolution,[],[f588,f1241]) ).

fof(f1733,plain,
    ( ~ c3_1(a140)
    | c2_1(a140)
    | ~ spl0_54
    | spl0_117 ),
    inference(resolution,[],[f588,f921]) ).

fof(f1736,plain,
    ( ~ c3_1(a149)
    | c2_1(a149)
    | ~ spl0_54
    | spl0_177 ),
    inference(resolution,[],[f588,f1385]) ).

fof(f1740,plain,
    ( ~ c3_1(a170)
    | c2_1(a170)
    | ~ spl0_54
    | spl0_91 ),
    inference(resolution,[],[f588,f782]) ).

fof(f1751,plain,
    ( spl0_108
    | ~ spl0_110
    | ~ spl0_54
    | spl0_177 ),
    inference(avatar_split_clause,[],[f1736,f1383,f587,f881,f871]) ).

fof(f1754,plain,
    ( ~ c3_1(a143)
    | ~ c2_1(a143)
    | ~ spl0_17
    | ~ spl0_71 ),
    inference(resolution,[],[f675,f423]) ).

fof(f1768,plain,
    ( spl0_48
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1441,f553,f521,f557]) ).

fof(f1780,plain,
    ( ~ spl0_73
    | ~ spl0_72
    | ~ spl0_14
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1143,f689,f410,f679,f684]) ).

fof(f1785,plain,
    ( ~ spl0_107
    | spl0_169
    | ~ spl0_25
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1202,f860,f456,f1294,f865]) ).

fof(f1789,plain,
    ( spl0_132
    | spl0_175
    | ~ spl0_33
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1316,f1009,f491,f1355,f999]) ).

fof(f1799,plain,
    ( spl0_133
    | ~ spl0_175
    | ~ spl0_47
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1428,f1009,f553,f1355,f1004]) ).

fof(f1807,plain,
    ( ~ spl0_157
    | ~ spl0_73
    | ~ spl0_24
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1581,f689,f452,f684,f1214]) ).

fof(f1816,plain,
    ( ~ spl0_152
    | spl0_176
    | ~ spl0_32
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1609,f1100,f487,f1364,f1105]) ).

fof(f1817,plain,
    ( ~ spl0_107
    | spl0_105
    | ~ spl0_32
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1617,f860,f487,f855,f865]) ).

fof(f1819,plain,
    ( spl0_48
    | ~ spl0_40
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1705,f575,f521,f557]) ).

fof(f1835,plain,
    ( spl0_117
    | ~ spl0_174
    | ~ spl0_47
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1429,f929,f553,f1349,f919]) ).

fof(f1847,plain,
    ( ~ c3_1(a140)
    | ~ c2_1(a140)
    | ~ spl0_14
    | spl0_119 ),
    inference(resolution,[],[f411,f931]) ).

fof(f1871,plain,
    ( ~ spl0_155
    | ~ spl0_154
    | ~ spl0_46
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1486,f1111,f549,f1116,f1121]) ).

fof(f1875,plain,
    ( ~ spl0_77
    | ~ spl0_165
    | ~ spl0_46
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1510,f700,f549,f1274,f705]) ).

fof(f1876,plain,
    ( ~ spl0_73
    | ~ spl0_72
    | ~ spl0_46
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1511,f1214,f549,f679,f684]) ).

fof(f1878,plain,
    ( spl0_156
    | ~ spl0_124
    | ~ spl0_28
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1604,f961,f469,f956,f1149]) ).

fof(f1896,plain,
    ( ~ c3_1(a150)
    | ~ c0_1(a150)
    | ~ spl0_21
    | spl0_67 ),
    inference(resolution,[],[f440,f654]) ).

fof(f1897,plain,
    ( c3_1(a125)
    | ~ c0_1(a125)
    | ~ spl0_25
    | spl0_151 ),
    inference(resolution,[],[f457,f1102]) ).

fof(f1936,plain,
    ( ~ c2_1(a145)
    | c3_1(a145)
    | ~ spl0_40
    | ~ spl0_112 ),
    inference(resolution,[],[f522,f894]) ).

fof(f1943,plain,
    ( ~ c2_1(a192)
    | c3_1(a192)
    | ~ spl0_40
    | ~ spl0_79 ),
    inference(resolution,[],[f522,f718]) ).

fof(f1944,plain,
    ( ~ c2_1(a196)
    | c3_1(a196)
    | ~ spl0_40
    | ~ spl0_75 ),
    inference(resolution,[],[f522,f697]) ).

fof(f2028,plain,
    ( c3_1(a183)
    | c2_1(a183)
    | ~ spl0_44
    | ~ spl0_83 ),
    inference(resolution,[],[f543,f739]) ).

fof(f2037,plain,
    ( spl0_82
    | spl0_81
    | ~ spl0_44
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2028,f737,f542,f727,f732]) ).

fof(f2053,plain,
    ( ~ c3_1(a138)
    | c2_1(a138)
    | ~ spl0_45
    | ~ spl0_123 ),
    inference(resolution,[],[f547,f953]) ).

fof(f2055,plain,
    ( ~ c3_1(a149)
    | c2_1(a149)
    | ~ spl0_45
    | ~ spl0_109 ),
    inference(resolution,[],[f547,f878]) ).

fof(f2084,plain,
    ( ~ c0_1(a139)
    | c3_1(a139)
    | ~ spl0_41
    | ~ spl0_121 ),
    inference(resolution,[],[f942,f529]) ).

fof(f2101,plain,
    ( ~ c2_1(a144)
    | c3_1(a144)
    | ~ spl0_48
    | spl0_115 ),
    inference(resolution,[],[f558,f910]) ).

fof(f2155,plain,
    ( c3_1(a128)
    | c2_1(a128)
    | ~ spl0_56
    | spl0_146 ),
    inference(resolution,[],[f599,f1075]) ).

fof(f2164,plain,
    ( c3_1(a145)
    | c2_1(a145)
    | ~ spl0_56
    | spl0_113 ),
    inference(resolution,[],[f599,f899]) ).

fof(f2188,plain,
    ( spl0_173
    | spl0_111
    | ~ spl0_56
    | spl0_113 ),
    inference(avatar_split_clause,[],[f2164,f897,f598,f887,f1344]) ).

fof(f2192,plain,
    ( spl0_145
    | spl0_144
    | ~ spl0_56
    | spl0_146 ),
    inference(avatar_split_clause,[],[f2155,f1073,f598,f1063,f1068]) ).

fof(f2196,plain,
    ( ~ c3_1(a137)
    | ~ c0_1(a137)
    | ~ spl0_21
    | spl0_74 ),
    inference(resolution,[],[f691,f440]) ).

fof(f2252,plain,
    ( ~ c0_1(a149)
    | c2_1(a149)
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(resolution,[],[f878,f535]) ).

fof(f2283,plain,
    ( ~ c3_1(a149)
    | c2_1(a149)
    | ~ spl0_28
    | ~ spl0_177 ),
    inference(resolution,[],[f1384,f470]) ).

fof(f2284,plain,
    ( spl0_108
    | ~ spl0_110
    | ~ spl0_28
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2283,f1383,f469,f881,f871]) ).

fof(f2296,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_57 ),
    inference(resolution,[],[f604,f466]) ).

fof(f2307,plain,
    ( ~ c3_1(a135)
    | c0_1(a135)
    | ~ spl0_57
    | ~ spl0_129 ),
    inference(resolution,[],[f604,f985]) ).

fof(f2312,plain,
    ( ~ c3_1(a149)
    | c0_1(a149)
    | ~ spl0_57
    | ~ spl0_109 ),
    inference(resolution,[],[f604,f878]) ).

fof(f2326,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f2296]) ).

fof(f2335,plain,
    ( spl0_177
    | ~ spl0_110
    | ~ spl0_57
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2312,f876,f603,f881,f1383]) ).

fof(f2345,plain,
    ( spl0_54
    | ~ spl0_27
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2326,f603,f465,f587]) ).

fof(f2348,plain,
    ( ~ spl0_70
    | ~ spl0_69
    | ~ spl0_17
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1754,f673,f422,f663,f668]) ).

fof(f2356,plain,
    ( spl0_161
    | ~ spl0_130
    | ~ spl0_57
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f2307,f983,f603,f988,f1234]) ).

fof(f2362,plain,
    ( ~ spl0_172
    | ~ spl0_66
    | ~ spl0_17
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1481,f657,f422,f647,f1332]) ).

fof(f2364,plain,
    ( spl0_111
    | ~ spl0_173
    | ~ spl0_40
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1936,f892,f521,f1344,f887]) ).

fof(f2365,plain,
    ( spl0_78
    | ~ spl0_80
    | ~ spl0_40
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1943,f716,f521,f721,f711]) ).

fof(f2367,plain,
    ( spl0_165
    | ~ spl0_77
    | ~ spl0_40
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1944,f695,f521,f705,f1274]) ).

fof(f2374,plain,
    ( ~ spl0_174
    | ~ spl0_118
    | ~ spl0_14
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1847,f929,f410,f924,f1349]) ).

fof(f2381,plain,
    ( spl0_174
    | ~ spl0_118
    | ~ spl0_54
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1733,f919,f587,f924,f1349]) ).

fof(f2383,plain,
    ( ~ spl0_152
    | spl0_150
    | ~ spl0_25
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1193,f1100,f456,f1095,f1105]) ).

fof(f2385,plain,
    ( ~ spl0_152
    | spl0_150
    | ~ spl0_25
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1897,f1100,f456,f1095,f1105]) ).

fof(f2390,plain,
    ( spl0_108
    | ~ spl0_177
    | ~ spl0_42
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2252,f876,f534,f1383,f871]) ).

fof(f2413,plain,
    ( c2_1(a159)
    | c3_1(a159)
    | ~ spl0_35
    | ~ spl0_101 ),
    inference(resolution,[],[f835,f500]) ).

fof(f2414,plain,
    ( spl0_99
    | spl0_100
    | ~ spl0_35
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2413,f833,f499,f828,f823]) ).

fof(f2424,plain,
    ( c2_1(a139)
    | c3_1(a139)
    | ~ spl0_35
    | ~ spl0_122 ),
    inference(resolution,[],[f947,f500]) ).

fof(f2425,plain,
    ( spl0_120
    | spl0_178
    | ~ spl0_35
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2424,f945,f499,f1401,f935]) ).

fof(f2455,plain,
    ( ~ c2_1(a143)
    | ~ spl0_17
    | ~ spl0_46
    | ~ spl0_69 ),
    inference(resolution,[],[f1514,f665]) ).

fof(f2458,plain,
    ( ~ spl0_70
    | ~ spl0_17
    | ~ spl0_46
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2455,f663,f549,f422,f668]) ).

fof(f2487,plain,
    ( ~ c2_1(a125)
    | ~ c0_1(a125)
    | ~ spl0_24
    | spl0_151 ),
    inference(resolution,[],[f453,f1102]) ).

fof(f2581,plain,
    ( c0_1(a158)
    | c2_1(a158)
    | ~ spl0_55
    | spl0_104 ),
    inference(resolution,[],[f594,f851]) ).

fof(f2586,plain,
    ( spl0_103
    | spl0_160
    | ~ spl0_55
    | spl0_104 ),
    inference(avatar_split_clause,[],[f2581,f849,f593,f1229,f844]) ).

fof(f2587,plain,
    ( ~ spl0_162
    | ~ spl0_139
    | ~ spl0_21
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1156,f1041,f439,f1036,f1239]) ).

fof(f2594,plain,
    ( ~ spl0_68
    | ~ spl0_66
    | ~ spl0_21
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1896,f652,f439,f647,f657]) ).

fof(f2596,plain,
    ( ~ spl0_157
    | ~ spl0_72
    | ~ spl0_21
    | spl0_74 ),
    inference(avatar_split_clause,[],[f2196,f689,f439,f679,f1214]) ).

fof(f2616,plain,
    ( spl0_120
    | ~ spl0_122
    | ~ spl0_41
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2084,f940,f528,f945,f935]) ).

fof(f2621,plain,
    ( spl0_156
    | ~ spl0_124
    | ~ spl0_45
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2053,f951,f546,f956,f1149]) ).

fof(f2622,plain,
    ( spl0_108
    | ~ spl0_110
    | ~ spl0_45
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2055,f876,f546,f881,f871]) ).

fof(f2638,plain,
    ( spl0_114
    | ~ spl0_116
    | ~ spl0_48
    | spl0_115 ),
    inference(avatar_split_clause,[],[f2101,f908,f557,f913,f903]) ).

fof(f2643,plain,
    ( ~ spl0_152
    | ~ spl0_176
    | ~ spl0_24
    | spl0_151 ),
    inference(avatar_split_clause,[],[f2487,f1100,f452,f1364,f1105]) ).

fof(f2644,plain,
    ( spl0_138
    | ~ spl0_139
    | ~ spl0_27
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1251,f1041,f465,f1036,f1031]) ).

fof(f2648,plain,
    ( spl0_172
    | ~ spl0_66
    | ~ spl0_27
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1601,f652,f465,f647,f1332]) ).

fof(f2649,plain,
    ( spl0_138
    | ~ spl0_139
    | ~ spl0_54
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1728,f1239,f587,f1036,f1031]) ).

fof(f2651,plain,
    ( spl0_90
    | ~ spl0_92
    | ~ spl0_54
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1740,f780,f587,f785,f775]) ).

fof(f2676,plain,
    ( ~ c0_1(a183)
    | c3_1(a183)
    | ~ spl0_41
    | ~ spl0_83 ),
    inference(resolution,[],[f529,f739]) ).

fof(f2697,plain,
    ( ~ c2_1(a196)
    | c3_1(a196)
    | ~ spl0_48
    | spl0_76 ),
    inference(resolution,[],[f558,f702]) ).

fof(f2781,plain,
    ( c3_1(a183)
    | c0_1(a183)
    | ~ spl0_61
    | ~ spl0_83 ),
    inference(resolution,[],[f622,f739]) ).

fof(f2783,plain,
    ( c3_1(a196)
    | c0_1(a196)
    | ~ spl0_61
    | ~ spl0_75 ),
    inference(resolution,[],[f622,f697]) ).

fof(f2785,plain,
    ( spl0_76
    | spl0_165
    | ~ spl0_61
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2783,f695,f621,f1274,f700]) ).

fof(f2787,plain,
    ( spl0_159
    | spl0_81
    | ~ spl0_61
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2781,f737,f621,f727,f1224]) ).

fof(f2801,plain,
    ( c2_1(a183)
    | c0_1(a183)
    | ~ spl0_62
    | ~ spl0_83 ),
    inference(resolution,[],[f627,f739]) ).

fof(f2808,plain,
    ( spl0_159
    | spl0_82
    | ~ spl0_62
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2801,f737,f626,f732,f1224]) ).

fof(f2819,plain,
    ( spl0_81
    | ~ spl0_159
    | ~ spl0_41
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2676,f737,f528,f1224,f727]) ).

fof(f2831,plain,
    ( spl0_165
    | ~ spl0_77
    | ~ spl0_48
    | spl0_76 ),
    inference(avatar_split_clause,[],[f2697,f700,f557,f705,f1274]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s2,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s3,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s7,plain,
    ( ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s8,plain,
    ( ~ spl0_13
    | spl0_14
    | spl0_17
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s9,plain,
    ( ~ spl0_13
    | spl0_19
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s10,plain,
    ( ~ spl0_1
    | spl0_7
    | ~ spl0_13
    | spl0_21 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s12,plain,
    ( ~ spl0_3
    | ~ spl0_13
    | spl0_25 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s13,plain,
    ( ~ spl0_13
    | spl0_22
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s15,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | spl0_19
    | spl0_28 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s18,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | spl0_32 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s21,plain,
    ( ~ spl0_13
    | spl0_28
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s23,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | spl0_30
    | spl0_37 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s25,plain,
    ( ~ spl0_13
    | spl0_30
    | spl0_36
    | spl0_40 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s26,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | spl0_28
    | spl0_40 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s27,plain,
    ( ~ spl0_13
    | spl0_14
    | spl0_32
    | spl0_40 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s28,plain,
    ( ~ spl0_13
    | spl0_27
    | spl0_33
    | spl0_40 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s29,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | spl0_26
    | spl0_41 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s30,plain,
    ( ~ spl0_13
    | spl0_14
    | spl0_28
    | spl0_41 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s32,plain,
    ( ~ spl0_13
    | spl0_17
    | spl0_30
    | spl0_42 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s34,plain,
    ( ~ spl0_13
    | spl0_27
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s35,plain,
    ( spl0_11
    | ~ spl0_13
    | spl0_17
    | spl0_47 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s36,plain,
    ( ~ spl0_13
    | spl0_36
    | ~ spl0_43
    | spl0_48 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s40,plain,
    ( ~ spl0_13
    | spl0_30
    | spl0_33
    | spl0_48 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s41,plain,
    ( ~ spl0_13
    | spl0_14
    | spl0_44
    | spl0_48 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s42,plain,
    ( ~ spl0_13
    | spl0_47
    | spl0_48
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s43,plain,
    ( ~ spl0_1
    | ~ spl0_13
    | ~ spl0_16
    | spl0_51 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s45,plain,
    ( ~ spl0_13
    | spl0_34
    | ~ spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s46,plain,
    ( ~ spl0_13
    | spl0_22
    | ~ spl0_50
    | spl0_54 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s47,plain,
    ( ~ spl0_13
    | spl0_34
    | spl0_40
    | spl0_54 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s48,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13
    | spl0_55 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s50,plain,
    ( ~ spl0_13
    | ~ spl0_16
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s54,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | spl0_26
    | spl0_57 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s58,plain,
    ( ~ spl0_6
    | ~ spl0_13
    | spl0_57
    | spl0_61 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s60,plain,
    ( ~ spl0_13
    | spl0_42
    | spl0_61
    | spl0_62 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s65,plain,
    ( spl0_49
    | spl0_66 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s66,plain,
    ( spl0_49
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s67,plain,
    ( spl0_49
    | spl0_68 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s69,plain,
    ( spl0_50
    | spl0_69 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s70,plain,
    ( spl0_50
    | spl0_70 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s71,plain,
    ( spl0_50
    | spl0_71 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s73,plain,
    ( spl0_16
    | spl0_72 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s74,plain,
    ( spl0_16
    | spl0_73 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s75,plain,
    ( spl0_16
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s77,plain,
    ( spl0_15
    | spl0_75 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s78,plain,
    ( spl0_15
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s79,plain,
    ( spl0_15
    | spl0_77 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s81,plain,
    ( spl0_20
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s82,plain,
    ( spl0_20
    | spl0_79 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s83,plain,
    ( spl0_20
    | spl0_80 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s85,plain,
    ( ~ spl0_19
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s86,plain,
    ( ~ spl0_19
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s87,plain,
    ( ~ spl0_19
    | spl0_83 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s97,plain,
    ( spl0_9
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s98,plain,
    ( spl0_9
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s99,plain,
    ( spl0_9
    | spl0_92 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s109,plain,
    ( ~ spl0_11
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s110,plain,
    ( ~ spl0_11
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s111,plain,
    ( ~ spl0_11
    | spl0_101 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s113,plain,
    ( ~ spl0_36
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s114,plain,
    ( ~ spl0_36
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s115,plain,
    ( ~ spl0_36
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s117,plain,
    ( ~ spl0_30
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s118,plain,
    ( ~ spl0_30
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f863]) ).

cnf(s119,plain,
    ( ~ spl0_30
    | spl0_107 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s121,plain,
    ( spl0_1
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s122,plain,
    ( spl0_1
    | spl0_109 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s123,plain,
    ( spl0_1
    | spl0_110 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s124,plain,
    ( spl0_1
    | spl0_13 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s125,plain,
    ( spl0_53
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s126,plain,
    ( spl0_53
    | spl0_112 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s127,plain,
    ( spl0_53
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s129,plain,
    ( ~ spl0_22
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f906]) ).

cnf(s130,plain,
    ( ~ spl0_22
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f911]) ).

cnf(s131,plain,
    ( ~ spl0_22
    | spl0_116 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s133,plain,
    ( spl0_3
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s134,plain,
    ( spl0_3
    | spl0_118 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s135,plain,
    ( spl0_3
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s137,plain,
    ( spl0_5
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s138,plain,
    ( spl0_5
    | spl0_121 ),
    inference(sat_conversion,[],[f943]) ).

cnf(s139,plain,
    ( spl0_5
    | spl0_122 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s141,plain,
    ( ~ spl0_7
    | spl0_123 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s142,plain,
    ( ~ spl0_7
    | spl0_124 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s143,plain,
    ( ~ spl0_7
    | spl0_125 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s144,plain,
    ( ~ spl0_7
    | spl0_13 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s149,plain,
    ( spl0_4
    | spl0_129 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s150,plain,
    ( spl0_4
    | spl0_130 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s151,plain,
    ( spl0_4
    | spl0_131 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s153,plain,
    ( spl0_43
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s154,plain,
    ( spl0_43
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1007]) ).

cnf(s155,plain,
    ( spl0_43
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s161,plain,
    ( spl0_2
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s162,plain,
    ( spl0_2
    | spl0_139 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s163,plain,
    ( spl0_2
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s164,plain,
    ( spl0_2
    | spl0_13 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s165,plain,
    ( ~ spl0_26
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s166,plain,
    ( ~ spl0_26
    | spl0_142 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s167,plain,
    ( ~ spl0_26
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s169,plain,
    ( ~ spl0_34
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s170,plain,
    ( ~ spl0_34
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1071]) ).

cnf(s171,plain,
    ( ~ spl0_34
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s177,plain,
    ( spl0_18
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s178,plain,
    ( spl0_18
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1103]) ).

cnf(s179,plain,
    ( spl0_18
    | spl0_152 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s181,plain,
    ( spl0_6
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s182,plain,
    ( spl0_6
    | spl0_154 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s183,plain,
    ( spl0_6
    | spl0_155 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s184,plain,
    ( spl0_6
    | spl0_13 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s185,plain,
    ( ~ spl0_17
    | ~ spl0_124
    | ~ spl0_125
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s189,plain,
    ( ~ spl0_25
    | spl0_102
    | spl0_104
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1232]) ).

cnf(s192,plain,
    ( ~ spl0_25
    | spl0_141
    | spl0_143
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1247]) ).

cnf(s198,plain,
    ( ~ spl0_27
    | spl0_105
    | spl0_106
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s209,plain,
    ( ~ spl0_33
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f1341]) ).

cnf(s221,plain,
    ( ~ spl0_37
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1387]) ).

cnf(s222,plain,
    ( ~ spl0_40
    | spl0_120
    | ~ spl0_121
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1404]) ).

cnf(s245,plain,
    ( ~ spl0_48
    | spl0_141
    | ~ spl0_142
    | spl0_163 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s246,plain,
    ( ~ spl0_27
    | ~ spl0_118
    | spl0_119
    | spl0_174 ),
    inference(sat_conversion,[],[f1540]) ).

cnf(s247,plain,
    ( ~ spl0_24
    | ~ spl0_142
    | spl0_143
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1541]) ).

cnf(s249,plain,
    ( ~ spl0_17
    | ~ spl0_46
    | ~ spl0_118
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1557]) ).

cnf(s250,plain,
    ( ~ spl0_17
    | ~ spl0_46
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1558]) ).

cnf(s257,plain,
    ( ~ spl0_17
    | ~ spl0_130
    | ~ spl0_131
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s275,plain,
    ( ~ spl0_54
    | spl0_108
    | ~ spl0_110
    | spl0_177 ),
    inference(sat_conversion,[],[f1751]) ).

cnf(s281,plain,
    ( ~ spl0_40
    | ~ spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f1768]) ).

cnf(s293,plain,
    ( ~ spl0_14
    | ~ spl0_72
    | ~ spl0_73
    | spl0_74 ),
    inference(sat_conversion,[],[f1780]) ).

cnf(s298,plain,
    ( ~ spl0_25
    | spl0_106
    | ~ spl0_107
    | spl0_169 ),
    inference(sat_conversion,[],[f1785]) ).

cnf(s303,plain,
    ( ~ spl0_33
    | spl0_132
    | spl0_134
    | spl0_175 ),
    inference(sat_conversion,[],[f1789]) ).

cnf(s313,plain,
    ( ~ spl0_47
    | spl0_133
    | spl0_134
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1799]) ).

cnf(s321,plain,
    ( ~ spl0_24
    | ~ spl0_73
    | spl0_74
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1807]) ).

cnf(s331,plain,
    ( ~ spl0_32
    | spl0_151
    | ~ spl0_152
    | spl0_176 ),
    inference(sat_conversion,[],[f1816]) ).

cnf(s332,plain,
    ( ~ spl0_32
    | spl0_105
    | spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1817]) ).

cnf(s335,plain,
    ( ~ spl0_40
    | spl0_48
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f1819]) ).

cnf(s350,plain,
    ( ~ spl0_47
    | spl0_117
    | spl0_119
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1835]) ).

cnf(s360,plain,
    ( ~ spl0_46
    | spl0_153
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1871]) ).

cnf(s364,plain,
    ( ~ spl0_46
    | spl0_76
    | ~ spl0_77
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1875]) ).

cnf(s365,plain,
    ( ~ spl0_46
    | ~ spl0_72
    | ~ spl0_73
    | spl0_157 ),
    inference(sat_conversion,[],[f1876]) ).

cnf(s367,plain,
    ( ~ spl0_28
    | ~ spl0_124
    | ~ spl0_125
    | spl0_156 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s371,plain,
    ( ~ spl0_44
    | spl0_81
    | spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f2037]) ).

cnf(s392,plain,
    ( ~ spl0_56
    | spl0_111
    | spl0_113
    | spl0_173 ),
    inference(sat_conversion,[],[f2188]) ).

cnf(s396,plain,
    ( ~ spl0_56
    | spl0_144
    | spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f2192]) ).

cnf(s421,plain,
    ( ~ spl0_28
    | spl0_108
    | ~ spl0_110
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2284]) ).

cnf(s429,plain,
    ( ~ spl0_57
    | ~ spl0_109
    | ~ spl0_110
    | spl0_177 ),
    inference(sat_conversion,[],[f2335]) ).

cnf(s439,plain,
    ( ~ spl0_27
    | spl0_54
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f2345]) ).

cnf(s442,plain,
    ( ~ spl0_17
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f2348]) ).

cnf(s453,plain,
    ( ~ spl0_57
    | ~ spl0_129
    | ~ spl0_130
    | spl0_161 ),
    inference(sat_conversion,[],[f2356]) ).

cnf(s458,plain,
    ( ~ spl0_17
    | ~ spl0_66
    | ~ spl0_68
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2362]) ).

cnf(s460,plain,
    ( ~ spl0_40
    | spl0_111
    | ~ spl0_112
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2364]) ).

cnf(s461,plain,
    ( ~ spl0_40
    | spl0_78
    | ~ spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f2365]) ).

cnf(s463,plain,
    ( ~ spl0_40
    | ~ spl0_75
    | ~ spl0_77
    | spl0_165 ),
    inference(sat_conversion,[],[f2367]) ).

cnf(s470,plain,
    ( ~ spl0_14
    | ~ spl0_118
    | spl0_119
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2374]) ).

cnf(s479,plain,
    ( ~ spl0_54
    | spl0_117
    | ~ spl0_118
    | spl0_174 ),
    inference(sat_conversion,[],[f2381]) ).

cnf(s481,plain,
    ( ~ spl0_25
    | spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f2383]) ).

cnf(s483,plain,
    ( ~ spl0_25
    | spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f2385]) ).

cnf(s488,plain,
    ( ~ spl0_42
    | spl0_108
    | ~ spl0_109
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2390]) ).

cnf(s497,plain,
    ( ~ spl0_35
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f2414]) ).

cnf(s498,plain,
    ( ~ spl0_35
    | spl0_120
    | ~ spl0_122
    | spl0_178 ),
    inference(sat_conversion,[],[f2425]) ).

cnf(s499,plain,
    ( ~ spl0_17
    | ~ spl0_46
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f2458]) ).

cnf(s510,plain,
    ( ~ spl0_55
    | spl0_103
    | spl0_104
    | spl0_160 ),
    inference(sat_conversion,[],[f2586]) ).

cnf(s511,plain,
    ( ~ spl0_21
    | ~ spl0_139
    | spl0_140
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2587]) ).

cnf(s518,plain,
    ( ~ spl0_21
    | ~ spl0_66
    | spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f2594]) ).

cnf(s520,plain,
    ( ~ spl0_21
    | ~ spl0_72
    | spl0_74
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2596]) ).

cnf(s541,plain,
    ( ~ spl0_41
    | spl0_120
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2616]) ).

cnf(s546,plain,
    ( ~ spl0_45
    | ~ spl0_123
    | ~ spl0_124
    | spl0_156 ),
    inference(sat_conversion,[],[f2621]) ).

cnf(s547,plain,
    ( ~ spl0_45
    | spl0_108
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2622]) ).

cnf(s563,plain,
    ( ~ spl0_48
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2638]) ).

cnf(s568,plain,
    ( ~ spl0_24
    | spl0_151
    | ~ spl0_152
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2643]) ).

cnf(s569,plain,
    ( ~ spl0_27
    | spl0_138
    | ~ spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f2644]) ).

cnf(s573,plain,
    ( ~ spl0_27
    | ~ spl0_66
    | spl0_67
    | spl0_172 ),
    inference(sat_conversion,[],[f2648]) ).

cnf(s575,plain,
    ( ~ spl0_54
    | spl0_138
    | ~ spl0_139
    | spl0_162 ),
    inference(sat_conversion,[],[f2649]) ).

cnf(s577,plain,
    ( ~ spl0_54
    | spl0_90
    | spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f2651]) ).

cnf(s584,plain,
    ( ~ spl0_61
    | ~ spl0_75
    | spl0_76
    | spl0_165 ),
    inference(sat_conversion,[],[f2785]) ).

cnf(s586,plain,
    ( ~ spl0_61
    | spl0_81
    | ~ spl0_83
    | spl0_159 ),
    inference(sat_conversion,[],[f2787]) ).

cnf(s592,plain,
    ( ~ spl0_62
    | spl0_82
    | ~ spl0_83
    | spl0_159 ),
    inference(sat_conversion,[],[f2808]) ).

cnf(s603,plain,
    ( ~ spl0_41
    | spl0_81
    | ~ spl0_83
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2819]) ).

cnf(s615,plain,
    ( ~ spl0_48
    | spl0_76
    | ~ spl0_77
    | spl0_165 ),
    inference(sat_conversion,[],[f2831]) ).

cnf(s616,plain,
    ( spl0_6
    | ~ spl0_46 ),
    inference(rat,[],[s360,s181,s182,s183]) ).

cnf(s617,plain,
    ( ~ spl0_22
    | ~ spl0_48 ),
    inference(rat,[],[s563,s129,s130,s131]) ).

cnf(s619,plain,
    ( spl0_15
    | ~ spl0_48
    | ~ spl0_46 ),
    inference(rat,[],[s364,s615,s78,s79]) ).

cnf(s622,plain,
    ( spl0_15
    | ~ spl0_61
    | ~ spl0_46 ),
    inference(rat,[],[s584,s364,s77,s78,s79]) ).

cnf(s623,plain,
    ( spl0_20
    | ~ spl0_40 ),
    inference(rat,[],[s461,s81,s82,s83]) ).

cnf(s624,plain,
    ( ~ spl0_19
    | ~ spl0_44 ),
    inference(rat,[],[s371,s85,s86,s87]) ).

cnf(s625,plain,
    ( ~ spl0_36
    | ~ spl0_33 ),
    inference(rat,[],[s209,s113,s114,s115]) ).

cnf(s626,plain,
    ( spl0_16
    | spl0_48
    | ~ spl0_46
    | spl0_27
    | ~ spl0_13 ),
    inference(rat,[],[s332,s117,s118,s119,s25,s625,s27,s28,s623,s9,s624,s520,s41,s365,s293,s73,s74,s75]) ).

cnf(s628,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_46
    | spl0_27
    | ~ spl0_13 ),
    inference(rat,[],[s483,s177,s178,s179,s13,s321,s8,s617,s365,s293,s626,s73,s74,s75]) ).

cnf(s629,plain,
    ( spl0_17
    | spl0_27
    | spl0_1 ),
    inference(rat,[],[s497,s109,s110,s111,s35,s313,s303,s153,s154,s155,s21,s36,s421,s625,s429,s28,s58,s463,s364,s622,s619,s77,s78,s79,s7,s628,s616,s34,s124,s547,s121,s122,s123]) ).

cnf(s630,plain,
    ( ~ spl0_34
    | ~ spl0_56 ),
    inference(rat,[],[s396,s169,s170,s171]) ).

cnf(s631,plain,
    ( ~ spl0_56
    | spl0_54
    | ~ spl0_13 ),
    inference(rat,[],[s392,s460,s125,s126,s127,s45,s47,s630]) ).

cnf(s632,plain,
    ( spl0_50
    | ~ spl0_17
    | ~ spl0_46 ),
    inference(rat,[],[s499,s69,s70]) ).

cnf(s633,plain,
    ( spl0_54
    | ~ spl0_16
    | ~ spl0_13 ),
    inference(rat,[],[s50,s631]) ).

cnf(s634,plain,
    ( spl0_3
    | ~ spl0_54
    | ~ spl0_17
    | ~ spl0_46 ),
    inference(rat,[],[s479,s249,s133,s134]) ).

cnf(s636,plain,
    ( spl0_18
    | ~ spl0_25 ),
    inference(rat,[],[s481,s177,s178,s179]) ).

cnf(s638,plain,
    ( spl0_4
    | ~ spl0_17
    | ~ spl0_46 ),
    inference(rat,[],[s250,s150,s151]) ).

cnf(s639,plain,
    ( ~ spl0_54
    | spl0_27
    | spl0_1 ),
    inference(rat,[],[s189,s510,s113,s114,s115,s21,s498,s222,s26,s48,s12,s634,s421,s275,s139,s138,s137,s2,s638,s629,s34,s124,s547,s121,s122,s123]) ).

cnf(s640,plain,
    ( spl0_27
    | spl0_1 ),
    inference(rat,[],[s626,s617,s633,s46,s639,s632,s629,s34,s124,s547,s121,s122,s123]) ).

cnf(s641,plain,
    ( ~ spl0_30
    | ~ spl0_32 ),
    inference(rat,[],[s332,s117,s118,s119]) ).

cnf(s648,plain,
    ( spl0_14
    | spl0_17
    | spl0_48
    | spl0_1 ),
    inference(rat,[],[s625,s25,s40,s641,s27,s623,s9,s518,s65,s66,s67,s42,s350,s246,s133,s134,s135,s12,s636,s624,s8,s41,s124,s640]) ).

cnf(s649,plain,
    ( spl0_16
    | ~ spl0_14 ),
    inference(rat,[],[s293,s73,s74,s75]) ).

cnf(s650,plain,
    ( spl0_17
    | spl0_48
    | spl0_1 ),
    inference(rat,[],[s479,s470,s133,s134,s135,s12,s298,s198,s117,s118,s119,s32,s488,s275,s633,s649,s648,s124,s123,s122,s121,s640]) ).

cnf(s651,plain,
    ( spl0_49
    | ~ spl0_17
    | ~ spl0_27 ),
    inference(rat,[],[s458,s573,s65,s66,s67]) ).

cnf(s652,plain,
    ( spl0_30
    | spl0_40
    | spl0_48
    | ~ spl0_13 ),
    inference(rat,[],[s625,s25,s40]) ).

cnf(s653,plain,
    ( spl0_48
    | spl0_1 ),
    inference(rat,[],[s479,s470,s133,s134,s135,s633,s12,s649,s298,s27,s198,s641,s117,s118,s119,s652,s281,s42,s651,s650,s124,s640]) ).

cnf(s655,plain,
    ( ~ spl0_26
    | ~ spl0_24
    | ~ spl0_48 ),
    inference(rat,[],[s245,s247,s165,s166,s167]) ).

cnf(s656,plain,
    ( spl0_2
    | ~ spl0_27 ),
    inference(rat,[],[s569,s161,s162,s163]) ).

cnf(s657,plain,
    ( spl0_54
    | spl0_17
    | spl0_1 ),
    inference(rat,[],[s13,s636,s655,s8,s54,s649,s439,s633,s124,s617,s653,s656,s640]) ).

cnf(s658,plain,
    ( spl0_17
    | spl0_1 ),
    inference(rat,[],[s60,s592,s586,s603,s29,s655,s13,s298,s198,s117,s118,s119,s85,s86,s87,s32,s15,s488,s421,s275,s657,s124,s123,s122,s121,s617,s653,s656,s640]) ).

cnf(s659,plain,
    ( spl0_50
    | ~ spl0_17 ),
    inference(rat,[],[s442,s69,s70,s71]) ).

cnf(s660,plain,
    ( spl0_159
    | spl0_1 ),
    inference(rat,[],[s60,s592,s586,s488,s122,s87,s86,s85,s15,s421,s275,s46,s659,s658,s617,s653,s123,s121,s124,s656,s640]) ).

cnf(s661,plain,
    spl0_1,
    inference(rat,[],[s192,s13,s245,s655,s165,s166,s167,s29,s603,s660,s85,s87,s15,s421,s275,s46,s659,s658,s656,s617,s653,s640,s121,s123,s124]) ).

cnf(s662,plain,
    ( spl0_48
    | ~ spl0_13
    | spl0_30 ),
    inference(rat,[],[s9,s624,s518,s41,s65,s66,s67,s649,s42,s43,s623,s281,s335,s652,s661]) ).

cnf(s663,plain,
    ( spl0_18
    | ~ spl0_13 ),
    inference(rat,[],[s568,s13,s331,s636,s178,s179,s617,s662,s641,s18,s661]) ).

cnf(s664,plain,
    ( spl0_3
    | ~ spl0_54
    | ~ spl0_14 ),
    inference(rat,[],[s470,s479,s133,s134,s135]) ).

cnf(s665,plain,
    ( ~ spl0_14
    | ~ spl0_13 ),
    inference(rat,[],[s577,s97,s98,s99,s23,s221,s141,s142,s143,s10,s511,s575,s161,s162,s163,s1,s664,s633,s649,s641,s18,s661]) ).

cnf(s666,plain,
    ( ~ spl0_7
    | ~ spl0_45
    | ~ spl0_17 ),
    inference(rat,[],[s546,s185,s141,s142,s143]) ).

cnf(s667,plain,
    ( spl0_2
    | ~ spl0_21
    | ~ spl0_54 ),
    inference(rat,[],[s575,s511,s161,s162,s163]) ).

cnf(s670,plain,
    ( spl0_5
    | ~ spl0_41 ),
    inference(rat,[],[s541,s137,s138,s139]) ).

cnf(s671,plain,
    ( spl0_25
    | spl0_27
    | ~ spl0_13 ),
    inference(rat,[],[s453,s257,s149,s150,s151,s2,s670,s29,s54,s667,s10,s666,s34,s655,s634,s13,s12,s46,s659,s8,s665,s663,s617,s662,s641,s18,s661]) ).

cnf(s672,plain,
    ( ~ spl0_7
    | spl0_27
    | ~ spl0_13 ),
    inference(rat,[],[s670,s2,s30,s638,s367,s34,s185,s666,s142,s143,s8,s665,s663]) ).

cnf(s674,plain,
    ( ~ spl0_26
    | ~ spl0_25
    | ~ spl0_48 ),
    inference(rat,[],[s192,s245,s165,s166,s167]) ).

cnf(s675,plain,
    ( spl0_27
    | ~ spl0_13 ),
    inference(rat,[],[s453,s257,s149,s150,s151,s2,s670,s29,s54,s674,s667,s10,s672,s671,s46,s659,s8,s665,s663,s617,s662,s641,s18,s661]) ).

cnf(s676,plain,
    ( spl0_26
    | ~ spl0_13 ),
    inference(rat,[],[s453,s257,s149,s150,s151,s2,s670,s29,s54,s8,s665,s663,s656,s675]) ).

cnf(s677,plain,
    ( ~ spl0_13
    | spl0_30 ),
    inference(rat,[],[s13,s674,s655,s676,s617,s662]) ).

cnf(s678,plain,
    ~ spl0_13,
    inference(rat,[],[s677,s641,s18,s661]) ).

cnf(s679,plain,
    spl0_6,
    inference(rat,[],[s184,s678]) ).

cnf(s684,plain,
    spl0_2,
    inference(rat,[],[s164,s678]) ).

cnf(s689,plain,
    ~ spl0_7,
    inference(rat,[],[s144,s678]) ).

cnf(s709,plain,
    $false,
    inference(rat,[],[s3,s684,s689,s679]) ).

fof(f2832,plain,
    $false,
    inference(avatar_sat_refutation,[],[s709]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN442+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n020.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 16:04:04 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  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
% 0.38/0.30  % (273771)Will run a generic schedule for satisfiability detection.
% 0.38/0.30  % (273776)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1568170718_2999 on theBenchmark for (2999ds/0Mi)
% 0.38/0.30  % Detected minimum model sizes of [1]
% 0.38/0.30  % Detected maximum model sizes of [31]
% 0.38/0.30  % TRYING [1]
% 0.38/0.30  % TRYING [2]
% 0.38/0.30  % TRYING [3]
% 0.38/0.30  % (273777)% WARNING: option uhcvi not known.
% 0.38/0.30  % (273778)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1456209854:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.38/0.30  % (273779)dis+10_1_sil=32000:sp=arity:random_seed=1149463070:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.38/0.30  % (273782)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1850547249:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.38/0.30  % (273780)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1738996784:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.38/0.30  % (273781)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=560914835:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.38/0.30  % TRYING [4]
% 0.38/0.30  % (273777)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=638305596:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.38/0.30  % TRYING [5]
% 0.38/0.30  % (273782) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-273771-273782"...
% 0.38/0.30  % (273782)...printing done.
% 0.38/0.30  % (273782)Refutation found. Thanks to Tanya!
% 0.38/0.30  % SZS status Theorem for theBenchmark
% 0.38/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.30  % (273782)------------------------------
% 0.38/0.30  % (273782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.30  % (273782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.30  % (273782)CaDiCaL version: 2.1.3
% 0.38/0.30  % (273782)Termination reason: Refutation
% 0.38/0.30  % (273782)Time elapsed: 0.038 s
% 0.38/0.30  % (273782)Peak memory usage: 13 MB
% 0.38/0.30  % (273782)Instructions burned: 63 (million)
% 0.38/0.30  % (273771)Success in time 0.074 s
% 0.38/0.30  % Vampire exiting
%------------------------------------------------------------------------------