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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---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 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:51:04 PM UTC 2026

% Result   : Theorem 3.00s 1.12s
% Output   : Refutation 3.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :  149
% Syntax   : Number of formulae    :  911 (  24 unt; 148 def)
%            Number of atoms       : 5934 (   0 equ)
%            Maximal formula atoms :  596 (   6 avg)
%            Number of connectives : 7805 (2782   ~;3696   |; 915   &)
%                                         ( 148 <=>; 264  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   97 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  185 ( 184 usr; 181 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  624 (   0 sgn 624   !;   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(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(f16,plain,
    ! [X81] :
      ( ~ c0_1(X81)
      | ~ c1_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | hskp19
      | hskp13 ),
    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(f19,plain,
    ! [X77] :
      ( c2_1(X77)
      | ~ c1_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | hskp4
      | hskp24 ),
    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(f21,plain,
    ! [X75] :
      ( c2_1(X75)
      | ~ c0_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | hskp16
      | hskp23 ),
    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(f29,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | ~ ndr1_0
      | c2_1(X65)
      | ~ c1_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | hskp20 ),
    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(f36,plain,
    ! [X50,X49] :
      ( c1_1(X49)
      | c3_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | c1_1(X50)
      | ~ c0_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X46,X45] :
      ( c1_1(X45)
      | c2_1(X45)
      | c3_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X46)
      | ~ c1_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | hskp7 ),
    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(f49,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | c3_1(X25)
      | ~ c1_1(X25)
      | ~ ndr1_0
      | c0_1(X26)
      | ~ c1_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | hskp6 ),
    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(f54,plain,
    ! [X19] :
      ( c0_1(X19)
      | c2_1(X19)
      | ~ c1_1(X19)
      | ~ ndr1_0
      | hskp10
      | hskp11 ),
    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(f64,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c2_1(X4)
      | c3_1(X4)
      | ~ ndr1_0
      | c1_1(X5)
      | ~ c0_1(X5)
      | ~ c3_1(X5)
      | ~ ndr1_0 ),
    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(f94,plain,
    ( ~ hskp23
    | ~ c0_1(a181) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp23
    | c2_1(a181) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp23
    | c1_1(a181) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp20
    | ~ c2_1(a168) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp20
    | ~ c0_1(a168) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp20
    | c1_1(a168) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp19
    | ~ c2_1(a162) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp19
    | c3_1(a162) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp19
    | c0_1(a162) ),
    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(f141,plain,
    ( ~ hskp12
    | ndr1_0 ),
    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(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(f162,plain,
    ( ~ hskp6
    | ~ c2_1(a133) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp6
    | ~ c1_1(a133) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp6
    | ~ c0_1(a133) ),
    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(f190,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,[],[f13]) ).

fof(f191,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,[],[f18]) ).

fof(f193,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(f194,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | ~ ndr1_0
      | c2_1(X65)
      | ~ c1_1(X65)
      | ~ c3_1(X65)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f195,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,[],[f31]) ).

fof(f196,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,[],[f32]) ).

fof(f197,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,[],[f33]) ).

fof(f198,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,[],[f35]) ).

fof(f199,plain,
    ! [X50,X49] :
      ( c1_1(X49)
      | c3_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | c1_1(X50)
      | ~ c0_1(X50)
      | ~ c3_1(X50)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f201,plain,
    ! [X46,X45] :
      ( c1_1(X45)
      | c2_1(X45)
      | c3_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X46)
      | ~ c1_1(X46)
      | ~ c3_1(X46)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f202,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,[],[f39]) ).

fof(f203,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,[],[f40]) ).

fof(f205,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,[],[f45]) ).

fof(f206,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,[],[f46]) ).

fof(f207,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,[],[f47]) ).

fof(f208,plain,
    ! [X26,X25] :
      ( c0_1(X25)
      | c3_1(X25)
      | ~ c1_1(X25)
      | ~ ndr1_0
      | c0_1(X26)
      | ~ c1_1(X26)
      | ~ c3_1(X26)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f209,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,[],[f52]) ).

fof(f210,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,[],[f55]) ).

fof(f213,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,[],[f63]) ).

fof(f214,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c2_1(X4)
      | c3_1(X4)
      | c1_1(X5)
      | ~ c0_1(X5)
      | ~ c3_1(X5) ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f215,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,[],[f65]) ).

fof(f217,definition,
    ( spl0_1
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f220,definition,
    ( spl0_2
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f223,definition,
    ( spl0_3
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f225,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f223,f220,f217]) ).

fof(f227,definition,
    ( spl0_4
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f230,definition,
    ( spl0_5
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f232,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f230,f227]) ).

fof(f234,definition,
    ( spl0_6
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f237,definition,
    ( spl0_7
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f241,definition,
    ( spl0_8
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f251,definition,
    ( spl0_11
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f258,definition,
    ( spl0_13
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f261,definition,
    ( spl0_14
  <=> ! [X87] :
        ( ~ c1_1(X87)
        | ~ c3_1(X87)
        | ~ c2_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f262,plain,
    ( ! [X87] :
        ( ~ c1_1(X87)
        | ~ c3_1(X87)
        | ~ c2_1(X87) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f265,definition,
    ( spl0_15
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_16
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f271,definition,
    ( spl0_17
  <=> ! [X86] :
        ( ~ c0_1(X86)
        | ~ c3_1(X86)
        | ~ c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f272,plain,
    ( ! [X86] :
        ( ~ c2_1(X86)
        | ~ c3_1(X86)
        | ~ c0_1(X86) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f273,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_13
    | spl0_17 ),
    inference(avatar_split_clause,[],[f12,f271,f258,f268,f265]) ).

fof(f275,definition,
    ( spl0_18
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f277,plain,
    ( spl0_18
    | spl0_14
    | ~ spl0_13
    | spl0_17 ),
    inference(avatar_split_clause,[],[f190,f271,f258,f261,f275]) ).

fof(f279,definition,
    ( spl0_19
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f282,definition,
    ( spl0_20
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f285,definition,
    ( spl0_21
  <=> ! [X83] :
        ( ~ c0_1(X83)
        | ~ c3_1(X83)
        | ~ c1_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f286,plain,
    ( ! [X83] :
        ( ~ c1_1(X83)
        | ~ c3_1(X83)
        | ~ c0_1(X83) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f287,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_13
    | spl0_21 ),
    inference(avatar_split_clause,[],[f14,f285,f258,f282,f279]) ).

fof(f288,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_13
    | spl0_21 ),
    inference(avatar_split_clause,[],[f15,f285,f258,f237,f217]) ).

fof(f290,definition,
    ( spl0_22
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f293,definition,
    ( spl0_23
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f296,definition,
    ( spl0_24
  <=> ! [X81] :
        ( ~ c0_1(X81)
        | ~ c2_1(X81)
        | ~ c1_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f297,plain,
    ( ! [X81] :
        ( ~ c1_1(X81)
        | ~ c2_1(X81)
        | ~ c0_1(X81) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f298,plain,
    ( spl0_22
    | spl0_23
    | ~ spl0_13
    | spl0_24 ),
    inference(avatar_split_clause,[],[f16,f296,f258,f293,f290]) ).

fof(f300,definition,
    ( spl0_25
  <=> ! [X80] :
        ( c3_1(X80)
        | ~ c1_1(X80)
        | ~ c0_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f301,plain,
    ( ! [X80] :
        ( ~ c1_1(X80)
        | c3_1(X80)
        | ~ c0_1(X80) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f302,plain,
    ( spl0_3
    | ~ spl0_13
    | spl0_25 ),
    inference(avatar_split_clause,[],[f17,f300,f258,f223]) ).

fof(f303,plain,
    ( spl0_22
    | spl0_24
    | ~ spl0_13
    | spl0_25 ),
    inference(avatar_split_clause,[],[f191,f300,f258,f296,f290]) ).

fof(f305,definition,
    ( spl0_26
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f308,definition,
    ( spl0_27
  <=> ! [X77] :
        ( c2_1(X77)
        | ~ c3_1(X77)
        | ~ c1_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f309,plain,
    ( ! [X77] :
        ( ~ c1_1(X77)
        | ~ c3_1(X77)
        | c2_1(X77) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f310,plain,
    ( spl0_19
    | spl0_26
    | ~ spl0_13
    | spl0_27 ),
    inference(avatar_split_clause,[],[f19,f308,f258,f305,f279]) ).

fof(f312,definition,
    ( spl0_28
  <=> ! [X76] :
        ( c2_1(X76)
        | ~ c3_1(X76)
        | ~ c0_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f313,plain,
    ( ! [X76] :
        ( c2_1(X76)
        | ~ c3_1(X76)
        | ~ c0_1(X76) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f314,plain,
    ( spl0_19
    | spl0_2
    | ~ spl0_13
    | spl0_28 ),
    inference(avatar_split_clause,[],[f20,f312,f258,f220,f279]) ).

fof(f316,definition,
    ( spl0_29
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f319,definition,
    ( spl0_30
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f321,plain,
    ( spl0_29
    | spl0_30
    | ~ spl0_13
    | spl0_28 ),
    inference(avatar_split_clause,[],[f21,f312,f258,f319,f316]) ).

fof(f327,definition,
    ( spl0_32
  <=> ! [X72] :
        ( c2_1(X72)
        | ~ c1_1(X72)
        | ~ c0_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f328,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | c2_1(X72)
        | ~ c0_1(X72) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f329,plain,
    ( spl0_1
    | ~ spl0_13
    | spl0_32 ),
    inference(avatar_split_clause,[],[f23,f327,f258,f217]) ).

fof(f331,definition,
    ( spl0_33
  <=> ! [X71] :
        ( c2_1(X71)
        | ~ c1_1(X71)
        | c3_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f332,plain,
    ( ! [X71] :
        ( ~ c1_1(X71)
        | c2_1(X71)
        | c3_1(X71) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f335,definition,
    ( spl0_34
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f338,definition,
    ( spl0_35
  <=> ! [X70] :
        ( c2_1(X70)
        | ~ c0_1(X70)
        | c3_1(X70) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f339,plain,
    ( ! [X70] :
        ( c2_1(X70)
        | ~ c0_1(X70)
        | c3_1(X70) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f338]) ).

fof(f342,definition,
    ( spl0_36
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f344,plain,
    ( spl0_36
    | spl0_28
    | ~ spl0_13
    | spl0_35 ),
    inference(avatar_split_clause,[],[f193,f338,f258,f312,f342]) ).

fof(f346,definition,
    ( spl0_37
  <=> ! [X67] :
        ( c1_1(X67)
        | ~ c3_1(X67)
        | ~ c0_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f347,plain,
    ( ! [X67] :
        ( c1_1(X67)
        | ~ c3_1(X67)
        | ~ c0_1(X67) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f351,definition,
    ( spl0_38
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f354,definition,
    ( spl0_39
  <=> ! [X64] :
        ( c1_1(X64)
        | ~ c2_1(X64)
        | ~ c0_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f355,plain,
    ( ! [X64] :
        ( c1_1(X64)
        | ~ c2_1(X64)
        | ~ c0_1(X64) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f356,plain,
    ( spl0_38
    | spl0_27
    | ~ spl0_13
    | spl0_39 ),
    inference(avatar_split_clause,[],[f194,f354,f258,f308,f351]) ).

fof(f358,definition,
    ( spl0_40
  <=> ! [X63] :
        ( c1_1(X63)
        | ~ c2_1(X63)
        | c3_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f359,plain,
    ( ! [X63] :
        ( c1_1(X63)
        | ~ c2_1(X63)
        | c3_1(X63) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f360,plain,
    ( spl0_36
    | spl0_30
    | ~ spl0_13
    | spl0_40 ),
    inference(avatar_split_clause,[],[f30,f358,f258,f319,f342]) ).

fof(f361,plain,
    ( spl0_4
    | spl0_28
    | ~ spl0_13
    | spl0_40 ),
    inference(avatar_split_clause,[],[f195,f358,f258,f312,f227]) ).

fof(f362,plain,
    ( spl0_14
    | spl0_32
    | ~ spl0_13
    | spl0_40 ),
    inference(avatar_split_clause,[],[f196,f358,f258,f327,f261]) ).

fof(f363,plain,
    ( spl0_27
    | spl0_33
    | ~ spl0_13
    | spl0_40 ),
    inference(avatar_split_clause,[],[f197,f358,f258,f331,f308]) ).

fof(f365,definition,
    ( spl0_41
  <=> ! [X54] :
        ( c1_1(X54)
        | ~ c0_1(X54)
        | c3_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f366,plain,
    ( ! [X54] :
        ( c1_1(X54)
        | ~ c0_1(X54)
        | c3_1(X54) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f367,plain,
    ( spl0_2
    | spl0_26
    | ~ spl0_13
    | spl0_41 ),
    inference(avatar_split_clause,[],[f34,f365,f258,f305,f220]) ).

fof(f368,plain,
    ( spl0_14
    | spl0_28
    | ~ spl0_13
    | spl0_41 ),
    inference(avatar_split_clause,[],[f198,f365,f258,f312,f261]) ).

fof(f369,plain,
    ( spl0_23
    | spl0_37
    | ~ spl0_13
    | spl0_41 ),
    inference(avatar_split_clause,[],[f199,f365,f258,f346,f293]) ).

fof(f371,definition,
    ( spl0_42
  <=> ! [X47] :
        ( c1_1(X47)
        | ~ c0_1(X47)
        | c2_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f372,plain,
    ( ! [X47] :
        ( c1_1(X47)
        | ~ c0_1(X47)
        | c2_1(X47) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f375,definition,
    ( spl0_43
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f378,definition,
    ( spl0_44
  <=> ! [X45] :
        ( c1_1(X45)
        | c3_1(X45)
        | c2_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X45] :
        ( c1_1(X45)
        | c3_1(X45)
        | c2_1(X45) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f380,plain,
    ( spl0_43
    | spl0_21
    | ~ spl0_13
    | spl0_44 ),
    inference(avatar_split_clause,[],[f201,f378,f258,f285,f375]) ).

fof(f382,definition,
    ( spl0_45
  <=> ! [X43] :
        ( c1_1(X43)
        | ~ c3_1(X43)
        | c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X43] :
        ( c1_1(X43)
        | ~ c3_1(X43)
        | c2_1(X43) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f385,definition,
    ( spl0_46
  <=> ! [X42] :
        ( c0_1(X42)
        | ~ c3_1(X42)
        | ~ c2_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f386,plain,
    ( ! [X42] :
        ( ~ c2_1(X42)
        | ~ c3_1(X42)
        | c0_1(X42) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f387,plain,
    ( spl0_27
    | spl0_45
    | ~ spl0_13
    | spl0_46 ),
    inference(avatar_split_clause,[],[f202,f385,f258,f382,f308]) ).

fof(f389,definition,
    ( spl0_47
  <=> ! [X40] :
        ( c0_1(X40)
        | ~ c2_1(X40)
        | ~ c1_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X40] :
        ( ~ c1_1(X40)
        | ~ c2_1(X40)
        | c0_1(X40) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f391,plain,
    ( spl0_11
    | spl0_17
    | ~ spl0_13
    | spl0_47 ),
    inference(avatar_split_clause,[],[f203,f389,f258,f271,f251]) ).

fof(f393,definition,
    ( spl0_48
  <=> ! [X39] :
        ( c0_1(X39)
        | ~ c2_1(X39)
        | c3_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f394,plain,
    ( ! [X39] :
        ( ~ c2_1(X39)
        | c0_1(X39)
        | c3_1(X39) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f395,plain,
    ( spl0_36
    | spl0_43
    | ~ spl0_13
    | spl0_48 ),
    inference(avatar_split_clause,[],[f41,f393,f258,f375,f342]) ).

fof(f398,definition,
    ( spl0_49
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f402,definition,
    ( spl0_50
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f405,plain,
    ( spl0_30
    | spl0_33
    | ~ spl0_13
    | spl0_48 ),
    inference(avatar_split_clause,[],[f205,f393,f258,f331,f319]) ).

fof(f406,plain,
    ( spl0_14
    | spl0_44
    | ~ spl0_13
    | spl0_48 ),
    inference(avatar_split_clause,[],[f206,f393,f258,f378,f261]) ).

fof(f407,plain,
    ( spl0_49
    | spl0_47
    | ~ spl0_13
    | spl0_48 ),
    inference(avatar_split_clause,[],[f207,f393,f258,f389,f398]) ).

fof(f409,definition,
    ( spl0_51
  <=> ! [X27] :
        ( c0_1(X27)
        | ~ c1_1(X27)
        | c3_1(X27) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f410,plain,
    ( ! [X27] :
        ( ~ c1_1(X27)
        | c0_1(X27)
        | c3_1(X27) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( spl0_1
    | spl0_16
    | ~ spl0_13
    | spl0_51 ),
    inference(avatar_split_clause,[],[f48,f409,f258,f268,f217]) ).

fof(f413,definition,
    ( spl0_52
  <=> ! [X26] :
        ( c0_1(X26)
        | ~ c3_1(X26)
        | ~ c1_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X26] :
        ( ~ c1_1(X26)
        | ~ c3_1(X26)
        | c0_1(X26) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f415,plain,
    ( spl0_8
    | spl0_52
    | ~ spl0_13
    | spl0_51 ),
    inference(avatar_split_clause,[],[f208,f409,f258,f413,f241]) ).

fof(f417,definition,
    ( spl0_53
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f420,definition,
    ( spl0_54
  <=> ! [X24] :
        ( c0_1(X24)
        | ~ c3_1(X24)
        | c2_1(X24) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f421,plain,
    ( ! [X24] :
        ( c2_1(X24)
        | ~ c3_1(X24)
        | c0_1(X24) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f422,plain,
    ( spl0_34
    | spl0_53
    | ~ spl0_13
    | spl0_54 ),
    inference(avatar_split_clause,[],[f50,f420,f258,f417,f335]) ).

fof(f423,plain,
    ( spl0_22
    | spl0_50
    | ~ spl0_13
    | spl0_54 ),
    inference(avatar_split_clause,[],[f51,f420,f258,f402,f290]) ).

fof(f424,plain,
    ( spl0_34
    | spl0_40
    | ~ spl0_13
    | spl0_54 ),
    inference(avatar_split_clause,[],[f209,f420,f258,f358,f335]) ).

fof(f426,definition,
    ( spl0_55
  <=> ! [X20] :
        ( c0_1(X20)
        | ~ c1_1(X20)
        | c2_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f427,plain,
    ( ! [X20] :
        ( ~ c1_1(X20)
        | c0_1(X20)
        | c2_1(X20) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f428,plain,
    ( spl0_4
    | spl0_3
    | ~ spl0_13
    | spl0_55 ),
    inference(avatar_split_clause,[],[f53,f426,f258,f223,f227]) ).

fof(f429,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_13
    | spl0_55 ),
    inference(avatar_split_clause,[],[f54,f426,f258,f237,f230]) ).

fof(f431,definition,
    ( spl0_56
  <=> ! [X17] :
        ( c0_1(X17)
        | c3_1(X17)
        | c2_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f432,plain,
    ( ! [X17] :
        ( c2_1(X17)
        | c3_1(X17)
        | c0_1(X17) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f433,plain,
    ( spl0_16
    | spl0_54
    | ~ spl0_13
    | spl0_56 ),
    inference(avatar_split_clause,[],[f210,f431,f258,f420,f268]) ).

fof(f436,definition,
    ( spl0_57
  <=> ! [X14] :
        ( c0_1(X14)
        | ~ c3_1(X14)
        | c1_1(X14) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f437,plain,
    ( ! [X14] :
        ( c1_1(X14)
        | ~ c3_1(X14)
        | c0_1(X14) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f440,plain,
    ( spl0_2
    | spl0_26
    | ~ spl0_13
    | spl0_57 ),
    inference(avatar_split_clause,[],[f59,f436,f258,f305,f220]) ).

fof(f453,definition,
    ( spl0_61
  <=> ! [X8] :
        ( c0_1(X8)
        | c3_1(X8)
        | c1_1(X8) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f454,plain,
    ( ! [X8] :
        ( c1_1(X8)
        | c3_1(X8)
        | c0_1(X8) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f456,plain,
    ( spl0_6
    | spl0_57
    | ~ spl0_13
    | spl0_61 ),
    inference(avatar_split_clause,[],[f213,f453,f258,f436,f234]) ).

fof(f458,definition,
    ( spl0_62
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | c1_1(X3) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f459,plain,
    ( ! [X3] :
        ( c1_1(X3)
        | c2_1(X3)
        | c0_1(X3) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( spl0_37
    | spl0_56
    | ~ spl0_13
    | spl0_62 ),
    inference(avatar_split_clause,[],[f214,f458,f258,f431,f346]) ).

fof(f461,plain,
    ( spl0_42
    | spl0_61
    | ~ spl0_13
    | spl0_62 ),
    inference(avatar_split_clause,[],[f215,f458,f258,f453,f371]) ).

fof(f478,definition,
    ( spl0_66
  <=> c3_1(a150) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f481,plain,
    ( spl0_66
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f70,f398,f478]) ).

fof(f483,definition,
    ( spl0_67
  <=> c1_1(a150) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f484,plain,
    ( c1_1(a150)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f485,plain,
    ( spl0_67
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f71,f398,f483]) ).

fof(f487,definition,
    ( spl0_68
  <=> c0_1(a150) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f489,plain,
    ( spl0_68
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f72,f398,f487]) ).

fof(f492,definition,
    ( spl0_69
  <=> c3_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f495,plain,
    ( spl0_69
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f74,f402,f492]) ).

fof(f497,definition,
    ( spl0_70
  <=> c2_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f498,plain,
    ( c2_1(a143)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f499,plain,
    ( spl0_70
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f75,f402,f497]) ).

fof(f501,definition,
    ( spl0_71
  <=> c0_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f503,plain,
    ( spl0_71
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f76,f402,f501]) ).

fof(f506,definition,
    ( spl0_72
  <=> c3_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f509,plain,
    ( spl0_72
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f78,f268,f506]) ).

fof(f511,definition,
    ( spl0_73
  <=> c2_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f512,plain,
    ( c2_1(a137)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f513,plain,
    ( spl0_73
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f79,f268,f511]) ).

fof(f515,definition,
    ( spl0_74
  <=> c1_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f516,plain,
    ( c1_1(a137)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f517,plain,
    ( spl0_74
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f80,f268,f515]) ).

fof(f520,definition,
    ( spl0_75
  <=> c1_1(a196) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f521,plain,
    ( ~ c1_1(a196)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f523,plain,
    ( ~ spl0_75
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f82,f265,f520]) ).

fof(f525,definition,
    ( spl0_76
  <=> c0_1(a196) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f527,plain,
    ( ~ spl0_76
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f83,f265,f525]) ).

fof(f529,definition,
    ( spl0_77
  <=> c2_1(a196) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f530,plain,
    ( c2_1(a196)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f531,plain,
    ( spl0_77
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f84,f265,f529]) ).

fof(f534,definition,
    ( spl0_78
  <=> c3_1(a192) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f537,plain,
    ( ~ spl0_78
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f86,f282,f534]) ).

fof(f539,definition,
    ( spl0_79
  <=> c1_1(a192) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f540,plain,
    ( ~ c1_1(a192)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f539]) ).

fof(f541,plain,
    ( ~ spl0_79
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f87,f282,f539]) ).

fof(f543,definition,
    ( spl0_80
  <=> c2_1(a192) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f545,plain,
    ( spl0_80
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f88,f282,f543]) ).

fof(f548,definition,
    ( spl0_81
  <=> c3_1(a183) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f551,plain,
    ( ~ spl0_81
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f90,f279,f548]) ).

fof(f553,definition,
    ( spl0_82
  <=> c2_1(a183) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f554,plain,
    ( ~ c2_1(a183)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f553]) ).

fof(f555,plain,
    ( ~ spl0_82
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f91,f279,f553]) ).

fof(f557,definition,
    ( spl0_83
  <=> c1_1(a183) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ c1_1(a183)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f559,plain,
    ( ~ spl0_83
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f92,f279,f557]) ).

fof(f562,definition,
    ( spl0_84
  <=> c0_1(a181) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f565,plain,
    ( ~ spl0_84
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f94,f316,f562]) ).

fof(f567,definition,
    ( spl0_85
  <=> c2_1(a181) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f568,plain,
    ( c2_1(a181)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f569,plain,
    ( spl0_85
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f95,f316,f567]) ).

fof(f571,definition,
    ( spl0_86
  <=> c1_1(a181) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f572,plain,
    ( c1_1(a181)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f573,plain,
    ( spl0_86
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f96,f316,f571]) ).

fof(f604,definition,
    ( spl0_93
  <=> c2_1(a168) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ c2_1(a168)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f607,plain,
    ( ~ spl0_93
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f106,f351,f604]) ).

fof(f609,definition,
    ( spl0_94
  <=> c0_1(a168) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ spl0_94
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f107,f351,f609]) ).

fof(f613,definition,
    ( spl0_95
  <=> c1_1(a168) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f614,plain,
    ( c1_1(a168)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f615,plain,
    ( spl0_95
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f108,f351,f613]) ).

fof(f618,definition,
    ( spl0_96
  <=> c2_1(a162) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ c2_1(a162)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f621,plain,
    ( ~ spl0_96
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f110,f293,f618]) ).

fof(f623,definition,
    ( spl0_97
  <=> c3_1(a162) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f625,plain,
    ( spl0_97
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f111,f293,f623]) ).

fof(f627,definition,
    ( spl0_98
  <=> c0_1(a162) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f629,plain,
    ( spl0_98
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f112,f293,f627]) ).

fof(f632,definition,
    ( spl0_99
  <=> c3_1(a159) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ spl0_99
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f114,f251,f632]) ).

fof(f637,definition,
    ( spl0_100
  <=> c2_1(a159) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f638,plain,
    ( ~ c2_1(a159)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f639,plain,
    ( ~ spl0_100
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f115,f251,f637]) ).

fof(f641,definition,
    ( spl0_101
  <=> c0_1(a159) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f643,plain,
    ( spl0_101
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f116,f251,f641]) ).

fof(f646,definition,
    ( spl0_102
  <=> c3_1(a158) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ spl0_102
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f118,f342,f646]) ).

fof(f651,definition,
    ( spl0_103
  <=> c2_1(a158) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f652,plain,
    ( ~ c2_1(a158)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f653,plain,
    ( ~ spl0_103
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f119,f342,f651]) ).

fof(f655,definition,
    ( spl0_104
  <=> c1_1(a158) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f656,plain,
    ( c1_1(a158)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f657,plain,
    ( spl0_104
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f120,f342,f655]) ).

fof(f660,definition,
    ( spl0_105
  <=> c2_1(a151) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f663,plain,
    ( ~ spl0_105
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f122,f319,f660]) ).

fof(f665,definition,
    ( spl0_106
  <=> c1_1(a151) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f666,plain,
    ( c1_1(a151)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f667,plain,
    ( spl0_106
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f123,f319,f665]) ).

fof(f669,definition,
    ( spl0_107
  <=> c0_1(a151) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f671,plain,
    ( spl0_107
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f124,f319,f669]) ).

fof(f674,definition,
    ( spl0_108
  <=> c2_1(a149) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f675,plain,
    ( ~ c2_1(a149)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f677,plain,
    ( ~ spl0_108
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f126,f217,f674]) ).

fof(f679,definition,
    ( spl0_109
  <=> c1_1(a149) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f680,plain,
    ( ~ c1_1(a149)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f681,plain,
    ( ~ spl0_109
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f127,f217,f679]) ).

fof(f683,definition,
    ( spl0_110
  <=> c3_1(a149) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f685,plain,
    ( spl0_110
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f128,f217,f683]) ).

fof(f686,plain,
    ( spl0_13
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f129,f217,f258]) ).

fof(f688,definition,
    ( spl0_111
  <=> c3_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f691,plain,
    ( ~ spl0_111
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f130,f417,f688]) ).

fof(f693,definition,
    ( spl0_112
  <=> c1_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f694,plain,
    ( ~ c1_1(a145)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f695,plain,
    ( ~ spl0_112
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f131,f417,f693]) ).

fof(f697,definition,
    ( spl0_113
  <=> c0_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f699,plain,
    ( ~ spl0_113
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f132,f417,f697]) ).

fof(f702,definition,
    ( spl0_114
  <=> c3_1(a144) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f705,plain,
    ( ~ spl0_114
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f134,f290,f702]) ).

fof(f707,definition,
    ( spl0_115
  <=> c0_1(a144) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f709,plain,
    ( ~ spl0_115
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f135,f290,f707]) ).

fof(f711,definition,
    ( spl0_116
  <=> c2_1(a144) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f712,plain,
    ( c2_1(a144)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f713,plain,
    ( spl0_116
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f136,f290,f711]) ).

fof(f716,definition,
    ( spl0_117
  <=> c0_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f719,plain,
    ( ~ spl0_117
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f223,f716]) ).

fof(f721,definition,
    ( spl0_118
  <=> c3_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f723,plain,
    ( spl0_118
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f139,f223,f721]) ).

fof(f725,definition,
    ( spl0_119
  <=> c1_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f726,plain,
    ( c1_1(a140)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f727,plain,
    ( spl0_119
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f223,f725]) ).

fof(f728,plain,
    ( spl0_13
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f141,f223,f258]) ).

fof(f730,definition,
    ( spl0_120
  <=> c3_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ spl0_120
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f142,f230,f730]) ).

fof(f735,definition,
    ( spl0_121
  <=> c1_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f736,plain,
    ( ~ c1_1(a139)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f737,plain,
    ( ~ spl0_121
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f143,f230,f735]) ).

fof(f739,definition,
    ( spl0_122
  <=> c0_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f741,plain,
    ( spl0_122
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f144,f230,f739]) ).

fof(f744,definition,
    ( spl0_123
  <=> c1_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f745,plain,
    ( ~ c1_1(a138)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f747,plain,
    ( ~ spl0_123
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f146,f237,f744]) ).

fof(f749,definition,
    ( spl0_124
  <=> c3_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f750,plain,
    ( c3_1(a138)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f751,plain,
    ( spl0_124
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f147,f237,f749]) ).

fof(f753,definition,
    ( spl0_125
  <=> c0_1(a138) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f754,plain,
    ( c0_1(a138)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f755,plain,
    ( spl0_125
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f148,f237,f753]) ).

fof(f772,definition,
    ( spl0_129
  <=> c1_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f773,plain,
    ( ~ c1_1(a135)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f775,plain,
    ( ~ spl0_129
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f154,f227,f772]) ).

fof(f777,definition,
    ( spl0_130
  <=> c3_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f779,plain,
    ( spl0_130
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f155,f227,f777]) ).

fof(f781,definition,
    ( spl0_131
  <=> c2_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f782,plain,
    ( c2_1(a135)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f783,plain,
    ( spl0_131
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f156,f227,f781]) ).

fof(f786,definition,
    ( spl0_132
  <=> c3_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f789,plain,
    ( ~ spl0_132
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f158,f375,f786]) ).

fof(f791,definition,
    ( spl0_133
  <=> c0_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ spl0_133
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f159,f375,f791]) ).

fof(f795,definition,
    ( spl0_134
  <=> c1_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f796,plain,
    ( c1_1(a134)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f797,plain,
    ( spl0_134
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f160,f375,f795]) ).

fof(f800,definition,
    ( spl0_135
  <=> c2_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f801,plain,
    ( ~ c2_1(a133)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f803,plain,
    ( ~ spl0_135
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f162,f241,f800]) ).

fof(f805,definition,
    ( spl0_136
  <=> c1_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f806,plain,
    ( ~ c1_1(a133)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f807,plain,
    ( ~ spl0_136
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f163,f241,f805]) ).

fof(f809,definition,
    ( spl0_137
  <=> c0_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f811,plain,
    ( ~ spl0_137
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f164,f241,f809]) ).

fof(f814,definition,
    ( spl0_138
  <=> c2_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ c2_1(a131)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f817,plain,
    ( ~ spl0_138
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f166,f220,f814]) ).

fof(f819,definition,
    ( spl0_139
  <=> c3_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f821,plain,
    ( spl0_139
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f167,f220,f819]) ).

fof(f823,definition,
    ( spl0_140
  <=> c1_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f824,plain,
    ( c1_1(a131)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f825,plain,
    ( spl0_140
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f168,f220,f823]) ).

fof(f826,plain,
    ( spl0_13
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f169,f220,f258]) ).

fof(f828,definition,
    ( spl0_141
  <=> c3_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f831,plain,
    ( ~ spl0_141
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f170,f305,f828]) ).

fof(f833,definition,
    ( spl0_142
  <=> c2_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f834,plain,
    ( c2_1(a130)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f835,plain,
    ( spl0_142
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f171,f305,f833]) ).

fof(f837,definition,
    ( spl0_143
  <=> c1_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f838,plain,
    ( c1_1(a130)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f839,plain,
    ( spl0_143
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f172,f305,f837]) ).

fof(f842,definition,
    ( spl0_144
  <=> c3_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f845,plain,
    ( ~ spl0_144
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f174,f335,f842]) ).

fof(f847,definition,
    ( spl0_145
  <=> c2_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f848,plain,
    ( ~ c2_1(a128)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f849,plain,
    ( ~ spl0_145
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f175,f335,f847]) ).

fof(f851,definition,
    ( spl0_146
  <=> c0_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f853,plain,
    ( ~ spl0_146
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f176,f335,f851]) ).

fof(f870,definition,
    ( spl0_150
  <=> c3_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f873,plain,
    ( ~ spl0_150
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f182,f275,f870]) ).

fof(f875,definition,
    ( spl0_151
  <=> c1_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f876,plain,
    ( c1_1(a125)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f877,plain,
    ( spl0_151
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f183,f275,f875]) ).

fof(f879,definition,
    ( spl0_152
  <=> c0_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f881,plain,
    ( spl0_152
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f184,f275,f879]) ).

fof(f884,definition,
    ( spl0_153
  <=> c0_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f887,plain,
    ( ~ spl0_153
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f186,f234,f884]) ).

fof(f889,definition,
    ( spl0_154
  <=> c3_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f891,plain,
    ( spl0_154
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f187,f234,f889]) ).

fof(f893,definition,
    ( spl0_155
  <=> c2_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f894,plain,
    ( c2_1(a124)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f895,plain,
    ( spl0_155
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f188,f234,f893]) ).

fof(f899,plain,
    ( ~ c3_1(a140)
    | c2_1(a140)
    | ~ spl0_27
    | ~ spl0_119 ),
    inference(resolution,[],[f309,f726]) ).

fof(f901,definition,
    ( spl0_156
  <=> c2_1(a140) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f905,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(resolution,[],[f313,f272]) ).

fof(f909,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f905]) ).

fof(f911,plain,
    ( ~ c3_1(a138)
    | ~ spl0_17
    | ~ spl0_28
    | ~ spl0_125 ),
    inference(resolution,[],[f909,f754]) ).

fof(f913,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_28
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(resolution,[],[f911,f750]) ).

fof(f914,plain,
    ( ~ spl0_17
    | ~ spl0_28
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f913]) ).

fof(f928,definition,
    ( spl0_157
  <=> c0_1(a183) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f933,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(resolution,[],[f347,f297]) ).

fof(f936,plain,
    ( ~ c3_1(a138)
    | ~ c0_1(a138)
    | ~ spl0_37
    | spl0_123 ),
    inference(resolution,[],[f347,f745]) ).

fof(f940,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f933]) ).

fof(f961,definition,
    ( spl0_158
  <=> c2_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f962,plain,
    ( ~ c2_1(a139)
    | spl0_158 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f971,plain,
    ( c2_1(a158)
    | c3_1(a158)
    | ~ spl0_33
    | ~ spl0_104 ),
    inference(resolution,[],[f656,f332]) ).

fof(f972,plain,
    ( c2_1(a158)
    | ~ c0_1(a158)
    | ~ spl0_32
    | ~ spl0_104 ),
    inference(resolution,[],[f656,f328]) ).

fof(f976,definition,
    ( spl0_160
  <=> c0_1(a158) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f979,plain,
    ( ~ spl0_160
    | spl0_103
    | ~ spl0_32
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f972,f655,f327,f651,f976]) ).

fof(f990,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_32
    | ~ spl0_41 ),
    inference(resolution,[],[f366,f328]) ).

fof(f999,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_32
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f990]) ).

fof(f1001,plain,
    ( spl0_35
    | ~ spl0_32
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f999,f365,f327,f338]) ).

fof(f1005,plain,
    ( ~ c2_1(a135)
    | ~ c0_1(a135)
    | ~ spl0_39
    | spl0_129 ),
    inference(resolution,[],[f773,f355]) ).

fof(f1007,definition,
    ( spl0_161
  <=> c0_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1010,plain,
    ( ~ spl0_161
    | ~ spl0_131
    | ~ spl0_39
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1005,f772,f354,f781,f1007]) ).

fof(f1030,plain,
    ( ~ c3_1(a133)
    | c2_1(a133)
    | ~ spl0_45
    | spl0_136 ),
    inference(resolution,[],[f383,f806]) ).

fof(f1043,definition,
    ( spl0_162
  <=> c3_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1045,plain,
    ( spl0_135
    | ~ spl0_162
    | ~ spl0_45
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1030,f805,f382,f1043,f800]) ).

fof(f1052,plain,
    ( ~ c2_1(a196)
    | c3_1(a196)
    | ~ spl0_40
    | spl0_75 ),
    inference(resolution,[],[f521,f359]) ).

fof(f1054,definition,
    ( spl0_163
  <=> c3_1(a196) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1057,plain,
    ( spl0_163
    | ~ spl0_77
    | ~ spl0_40
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1052,f520,f358,f529,f1054]) ).

fof(f1063,definition,
    ( spl0_164
  <=> c3_1(a168) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1085,definition,
    ( spl0_166
  <=> c3_1(a151) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1089,plain,
    ( c2_1(a151)
    | ~ c0_1(a151)
    | ~ spl0_32
    | ~ spl0_106 ),
    inference(resolution,[],[f666,f328]) ).

fof(f1094,plain,
    ( ~ spl0_107
    | spl0_105
    | ~ spl0_32
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1089,f665,f327,f660,f669]) ).

fof(f1097,definition,
    ( spl0_167
  <=> c0_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1100,plain,
    ( c2_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_32
    | ~ spl0_140 ),
    inference(resolution,[],[f824,f328]) ).

fof(f1105,plain,
    ( ~ spl0_167
    | spl0_138
    | ~ spl0_32
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1100,f823,f327,f814,f1097]) ).

fof(f1121,plain,
    ( ~ c3_1(a181)
    | ~ c2_1(a181)
    | ~ spl0_14
    | ~ spl0_86 ),
    inference(resolution,[],[f262,f572]) ).

fof(f1128,definition,
    ( spl0_169
  <=> c3_1(a181) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1131,plain,
    ( ~ c2_1(a140)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f1159,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(resolution,[],[f390,f359]) ).

fof(f1167,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1159]) ).

fof(f1174,plain,
    ( spl0_48
    | ~ spl0_40
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1167,f389,f358,f393]) ).

fof(f1194,plain,
    ( ~ c3_1(a150)
    | ~ c0_1(a150)
    | ~ spl0_21
    | ~ spl0_67 ),
    inference(resolution,[],[f484,f286]) ).

fof(f1197,plain,
    ( ~ spl0_68
    | ~ spl0_66
    | ~ spl0_21
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1194,f483,f285,f478,f487]) ).

fof(f1199,definition,
    ( spl0_170
  <=> c2_1(a150) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1213,plain,
    ( spl0_156
    | ~ spl0_118
    | ~ spl0_27
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f899,f725,f308,f721,f901]) ).

fof(f1226,definition,
    ( spl0_172
  <=> c0_1(a149) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1284,plain,
    ( ~ c3_1(a131)
    | c2_1(a131)
    | ~ spl0_27
    | ~ spl0_140 ),
    inference(resolution,[],[f309,f824]) ).

fof(f1296,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(resolution,[],[f332,f366]) ).

fof(f1302,plain,
    ( c2_1(a168)
    | c3_1(a168)
    | ~ spl0_33
    | ~ spl0_95 ),
    inference(resolution,[],[f332,f614]) ).

fof(f1307,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1296]) ).

fof(f1308,plain,
    ( spl0_164
    | spl0_93
    | ~ spl0_33
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1302,f613,f331,f604,f1063]) ).

fof(f1355,plain,
    ( c0_1(a181)
    | c3_1(a181)
    | ~ spl0_48
    | ~ spl0_85 ),
    inference(resolution,[],[f394,f568]) ).

fof(f1356,plain,
    ( c0_1(a196)
    | c3_1(a196)
    | ~ spl0_48
    | ~ spl0_77 ),
    inference(resolution,[],[f394,f530]) ).

fof(f1360,plain,
    ( spl0_169
    | spl0_84
    | ~ spl0_48
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1355,f567,f393,f562,f1128]) ).

fof(f1368,plain,
    ( c0_1(a134)
    | c3_1(a134)
    | ~ spl0_51
    | ~ spl0_134 ),
    inference(resolution,[],[f410,f796]) ).

fof(f1379,plain,
    ( spl0_132
    | spl0_133
    | ~ spl0_51
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1368,f795,f409,f791,f786]) ).

fof(f1415,plain,
    ( ~ spl0_85
    | ~ spl0_169
    | ~ spl0_14
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1121,f571,f261,f1128,f567]) ).

fof(f1445,plain,
    ( ~ c3_1(a149)
    | ~ c0_1(a149)
    | ~ spl0_28
    | spl0_108 ),
    inference(resolution,[],[f313,f675]) ).

fof(f1448,plain,
    ( ~ c3_1(a162)
    | ~ c0_1(a162)
    | ~ spl0_28
    | spl0_96 ),
    inference(resolution,[],[f313,f619]) ).

fof(f1451,plain,
    ( ~ spl0_98
    | ~ spl0_97
    | ~ spl0_28
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1448,f618,f312,f623,f627]) ).

fof(f1452,plain,
    ( ~ spl0_172
    | ~ spl0_110
    | ~ spl0_28
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1445,f674,f312,f683,f1226]) ).

fof(f1457,plain,
    ( spl0_35
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1307,f365,f331,f338]) ).

fof(f1458,plain,
    ( spl0_17
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f940,f346,f296,f271]) ).

fof(f1472,definition,
    ( spl0_174
  <=> c0_1(a130) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1481,plain,
    ( c0_1(a130)
    | c3_1(a130)
    | ~ spl0_51
    | ~ spl0_143 ),
    inference(resolution,[],[f838,f410]) ).

fof(f1482,plain,
    ( spl0_141
    | spl0_174
    | ~ spl0_51
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1481,f837,f409,f1472,f828]) ).

fof(f1492,plain,
    ( ~ c0_1(a139)
    | c3_1(a139)
    | ~ spl0_35
    | spl0_158 ),
    inference(resolution,[],[f339,f962]) ).

fof(f1495,plain,
    ( ~ c0_1(a159)
    | c3_1(a159)
    | ~ spl0_35
    | spl0_100 ),
    inference(resolution,[],[f339,f638]) ).

fof(f1498,plain,
    ( ~ c0_1(a183)
    | c3_1(a183)
    | ~ spl0_35
    | spl0_82 ),
    inference(resolution,[],[f339,f554]) ).

fof(f1513,plain,
    ( ~ c0_1(a183)
    | c3_1(a183)
    | ~ spl0_41
    | spl0_83 ),
    inference(resolution,[],[f366,f558]) ).

fof(f1530,plain,
    ( ~ c0_1(a149)
    | c2_1(a149)
    | ~ spl0_42
    | spl0_109 ),
    inference(resolution,[],[f372,f680]) ).

fof(f1539,plain,
    ( spl0_108
    | ~ spl0_172
    | ~ spl0_42
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1530,f679,f371,f1226,f674]) ).

fof(f1573,plain,
    ( ~ c3_1(a137)
    | ~ c2_1(a137)
    | ~ spl0_14
    | ~ spl0_74 ),
    inference(resolution,[],[f516,f262]) ).

fof(f1574,plain,
    ( ~ c3_1(a137)
    | ~ c0_1(a137)
    | ~ spl0_21
    | ~ spl0_74 ),
    inference(resolution,[],[f516,f286]) ).

fof(f1579,plain,
    ( ~ c2_1(a137)
    | c0_1(a137)
    | ~ spl0_47
    | ~ spl0_74 ),
    inference(resolution,[],[f516,f390]) ).

fof(f1583,definition,
    ( spl0_175
  <=> c0_1(a137) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1586,plain,
    ( spl0_175
    | ~ spl0_73
    | ~ spl0_47
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1579,f515,f389,f511,f1583]) ).

fof(f1590,plain,
    ( ~ spl0_175
    | ~ spl0_72
    | ~ spl0_21
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1574,f515,f285,f506,f1583]) ).

fof(f1591,plain,
    ( ~ spl0_73
    | ~ spl0_72
    | ~ spl0_14
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1573,f515,f261,f506,f511]) ).

fof(f1597,plain,
    ( spl0_81
    | ~ spl0_157
    | ~ spl0_41
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1513,f557,f365,f928,f548]) ).

fof(f1615,plain,
    ( c3_1(a128)
    | c0_1(a128)
    | ~ spl0_56
    | spl0_145 ),
    inference(resolution,[],[f432,f848]) ).

fof(f1623,plain,
    ( spl0_146
    | spl0_144
    | ~ spl0_56
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1615,f847,f431,f842,f851]) ).

fof(f1630,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_57 ),
    inference(resolution,[],[f437,f309]) ).

fof(f1639,plain,
    ( ~ c3_1(a196)
    | c0_1(a196)
    | ~ spl0_57
    | spl0_75 ),
    inference(resolution,[],[f437,f521]) ).

fof(f1643,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f1630]) ).

fof(f1646,plain,
    ( spl0_76
    | ~ spl0_163
    | ~ spl0_57
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1639,f520,f436,f1054,f525]) ).

fof(f1651,plain,
    ( spl0_54
    | ~ spl0_27
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1643,f436,f308,f420]) ).

fof(f1677,plain,
    ( ~ spl0_125
    | ~ spl0_124
    | ~ spl0_37
    | spl0_123 ),
    inference(avatar_split_clause,[],[f936,f744,f346,f749,f753]) ).

fof(f1684,plain,
    ( c3_1(a183)
    | c0_1(a183)
    | ~ spl0_56
    | spl0_82 ),
    inference(resolution,[],[f554,f432]) ).

fof(f1686,plain,
    ( spl0_157
    | spl0_81
    | ~ spl0_56
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1684,f553,f431,f548,f928]) ).

fof(f1730,plain,
    ( ~ c3_1(a149)
    | ~ c0_1(a149)
    | ~ spl0_37
    | spl0_109 ),
    inference(resolution,[],[f347,f680]) ).

fof(f1735,plain,
    ( ~ spl0_172
    | ~ spl0_110
    | ~ spl0_37
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1730,f679,f346,f683,f1226]) ).

fof(f1747,plain,
    ( c3_1(a183)
    | c2_1(a183)
    | ~ spl0_44
    | spl0_83 ),
    inference(resolution,[],[f379,f558]) ).

fof(f1754,plain,
    ( spl0_82
    | spl0_81
    | ~ spl0_44
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1747,f557,f378,f548,f553]) ).

fof(f1767,plain,
    ( c2_1(a151)
    | c3_1(a151)
    | ~ spl0_33
    | ~ spl0_106 ),
    inference(resolution,[],[f666,f332]) ).

fof(f1776,plain,
    ( ~ c3_1(a140)
    | ~ c2_1(a140)
    | ~ spl0_14
    | ~ spl0_119 ),
    inference(resolution,[],[f262,f726]) ).

fof(f1778,plain,
    ( ~ c3_1(a150)
    | ~ c2_1(a150)
    | ~ spl0_14
    | ~ spl0_67 ),
    inference(resolution,[],[f262,f484]) ).

fof(f1782,plain,
    ( ~ spl0_170
    | ~ spl0_66
    | ~ spl0_14
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1778,f483,f261,f478,f1199]) ).

fof(f1783,plain,
    ( ~ spl0_156
    | ~ spl0_118
    | ~ spl0_14
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1776,f725,f261,f721,f901]) ).

fof(f1797,plain,
    ( ~ c3_1(a135)
    | ~ c0_1(a135)
    | ~ spl0_17
    | ~ spl0_131 ),
    inference(resolution,[],[f272,f782]) ).

fof(f1805,plain,
    ( ~ c3_1(a143)
    | ~ c0_1(a143)
    | ~ spl0_17
    | ~ spl0_70 ),
    inference(resolution,[],[f272,f498]) ).

fof(f1824,plain,
    ( ~ c3_1(a149)
    | c2_1(a149)
    | ~ spl0_45
    | spl0_109 ),
    inference(resolution,[],[f383,f680]) ).

fof(f1828,plain,
    ( spl0_108
    | ~ spl0_110
    | ~ spl0_45
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1824,f679,f382,f683,f674]) ).

fof(f1839,plain,
    ( ~ c3_1(a124)
    | c0_1(a124)
    | ~ spl0_46
    | ~ spl0_155 ),
    inference(resolution,[],[f386,f894]) ).

fof(f1848,plain,
    ( ~ c3_1(a196)
    | c0_1(a196)
    | ~ spl0_46
    | ~ spl0_77 ),
    inference(resolution,[],[f386,f530]) ).

fof(f1849,plain,
    ( ~ c3_1(a137)
    | c0_1(a137)
    | ~ spl0_46
    | ~ spl0_73 ),
    inference(resolution,[],[f386,f512]) ).

fof(f1854,plain,
    ( spl0_175
    | ~ spl0_72
    | ~ spl0_46
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1849,f511,f385,f506,f1583]) ).

fof(f1855,plain,
    ( spl0_76
    | ~ spl0_163
    | ~ spl0_46
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1848,f529,f385,f1054,f525]) ).

fof(f1859,plain,
    ( spl0_153
    | ~ spl0_154
    | ~ spl0_46
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1839,f893,f385,f889,f884]) ).

fof(f1866,plain,
    ( ~ c3_1(a131)
    | c0_1(a131)
    | ~ spl0_52
    | ~ spl0_140 ),
    inference(resolution,[],[f414,f824]) ).

fof(f1868,plain,
    ( ~ c3_1(a140)
    | c0_1(a140)
    | ~ spl0_52
    | ~ spl0_119 ),
    inference(resolution,[],[f414,f726]) ).

fof(f1882,plain,
    ( c3_1(a133)
    | c0_1(a133)
    | ~ spl0_56
    | spl0_135 ),
    inference(resolution,[],[f801,f432]) ).

fof(f1885,plain,
    ( spl0_137
    | spl0_162
    | ~ spl0_56
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1882,f800,f431,f1043,f809]) ).

fof(f1916,plain,
    ( c3_1(a145)
    | c0_1(a145)
    | ~ spl0_61
    | spl0_112 ),
    inference(resolution,[],[f454,f694]) ).

fof(f1933,plain,
    ( c3_1(a158)
    | c0_1(a158)
    | ~ spl0_56
    | spl0_103 ),
    inference(resolution,[],[f652,f432]) ).

fof(f1934,plain,
    ( spl0_160
    | spl0_102
    | ~ spl0_56
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1933,f651,f431,f646,f976]) ).

fof(f1974,plain,
    ( spl0_113
    | spl0_111
    | ~ spl0_61
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1916,f693,f453,f688,f697]) ).

fof(f1981,plain,
    ( spl0_102
    | spl0_103
    | ~ spl0_33
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f971,f655,f331,f651,f646]) ).

fof(f1987,plain,
    ( spl0_166
    | spl0_105
    | ~ spl0_33
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1767,f665,f331,f660,f1085]) ).

fof(f1999,plain,
    ( spl0_120
    | ~ spl0_122
    | ~ spl0_35
    | spl0_158 ),
    inference(avatar_split_clause,[],[f1492,f961,f338,f739,f730]) ).

fof(f2005,plain,
    ( spl0_167
    | ~ spl0_139
    | ~ spl0_52
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1866,f823,f413,f819,f1097]) ).

fof(f2006,plain,
    ( spl0_117
    | ~ spl0_118
    | ~ spl0_52
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1868,f725,f413,f721,f716]) ).

fof(f2027,plain,
    ( ~ spl0_161
    | ~ spl0_130
    | ~ spl0_17
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1797,f781,f271,f777,f1007]) ).

fof(f2030,plain,
    ( ~ spl0_71
    | ~ spl0_69
    | ~ spl0_17
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1805,f497,f271,f492,f501]) ).

fof(f2066,plain,
    ( ~ c3_1(a135)
    | c0_1(a135)
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(resolution,[],[f782,f386]) ).

fof(f2067,plain,
    ( spl0_161
    | ~ spl0_130
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2066,f781,f385,f777,f1007]) ).

fof(f2072,plain,
    ( ~ c3_1(a137)
    | ~ c0_1(a137)
    | ~ spl0_17
    | ~ spl0_73 ),
    inference(resolution,[],[f272,f512]) ).

fof(f2073,plain,
    ( ~ spl0_175
    | ~ spl0_72
    | ~ spl0_17
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2072,f511,f271,f506,f1583]) ).

fof(f2088,plain,
    ( c3_1(a125)
    | ~ c0_1(a125)
    | ~ spl0_25
    | ~ spl0_151 ),
    inference(resolution,[],[f301,f876]) ).

fof(f2093,plain,
    ( c3_1(a151)
    | ~ c0_1(a151)
    | ~ spl0_25
    | ~ spl0_106 ),
    inference(resolution,[],[f301,f666]) ).

fof(f2094,plain,
    ( c3_1(a158)
    | ~ c0_1(a158)
    | ~ spl0_25
    | ~ spl0_104 ),
    inference(resolution,[],[f301,f656]) ).

fof(f2099,plain,
    ( ~ spl0_160
    | spl0_102
    | ~ spl0_25
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2094,f655,f300,f646,f976]) ).

fof(f2100,plain,
    ( ~ spl0_107
    | spl0_166
    | ~ spl0_25
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2093,f665,f300,f1085,f669]) ).

fof(f2102,plain,
    ( ~ spl0_152
    | spl0_150
    | ~ spl0_25
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f2088,f875,f300,f870,f879]) ).

fof(f2139,plain,
    ( ~ c3_1(a140)
    | c0_1(a140)
    | ~ spl0_54
    | spl0_156 ),
    inference(resolution,[],[f421,f1131]) ).

fof(f2140,plain,
    ( ~ c3_1(a149)
    | c0_1(a149)
    | ~ spl0_54
    | spl0_108 ),
    inference(resolution,[],[f421,f675]) ).

fof(f2145,plain,
    ( ~ c3_1(a168)
    | c0_1(a168)
    | ~ spl0_54
    | spl0_93 ),
    inference(resolution,[],[f421,f605]) ).

fof(f2155,plain,
    ( spl0_94
    | ~ spl0_164
    | ~ spl0_54
    | spl0_93 ),
    inference(avatar_split_clause,[],[f2145,f604,f420,f1063,f609]) ).

fof(f2156,plain,
    ( spl0_172
    | ~ spl0_110
    | ~ spl0_54
    | spl0_108 ),
    inference(avatar_split_clause,[],[f2140,f674,f420,f683,f1226]) ).

fof(f2157,plain,
    ( spl0_117
    | ~ spl0_118
    | ~ spl0_54
    | spl0_156 ),
    inference(avatar_split_clause,[],[f2139,f901,f420,f721,f716]) ).

fof(f2164,plain,
    ( c0_1(a131)
    | c2_1(a131)
    | ~ spl0_55
    | ~ spl0_140 ),
    inference(resolution,[],[f427,f824]) ).

fof(f2168,plain,
    ( c0_1(a158)
    | c2_1(a158)
    | ~ spl0_55
    | ~ spl0_104 ),
    inference(resolution,[],[f427,f656]) ).

fof(f2173,plain,
    ( spl0_103
    | spl0_160
    | ~ spl0_55
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2168,f655,f426,f976,f651]) ).

fof(f2176,plain,
    ( spl0_138
    | spl0_167
    | ~ spl0_55
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2164,f823,f426,f1097,f814]) ).

fof(f2178,plain,
    ( spl0_138
    | ~ spl0_139
    | ~ spl0_27
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1284,f823,f308,f819,f814]) ).

fof(f2191,plain,
    ( spl0_99
    | ~ spl0_101
    | ~ spl0_35
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1495,f637,f338,f641,f632]) ).

fof(f2192,plain,
    ( spl0_81
    | ~ spl0_157
    | ~ spl0_35
    | spl0_82 ),
    inference(avatar_split_clause,[],[f1498,f553,f338,f928,f548]) ).

fof(f2219,plain,
    ( ~ c3_1(a131)
    | c0_1(a131)
    | ~ spl0_54
    | spl0_138 ),
    inference(resolution,[],[f815,f421]) ).

fof(f2220,plain,
    ( spl0_167
    | ~ spl0_139
    | ~ spl0_54
    | spl0_138 ),
    inference(avatar_split_clause,[],[f2219,f814,f420,f819,f1097]) ).

fof(f2222,plain,
    ( c3_1(a130)
    | ~ c0_1(a130)
    | ~ spl0_25
    | ~ spl0_143 ),
    inference(resolution,[],[f838,f301]) ).

fof(f2223,plain,
    ( ~ c2_1(a130)
    | ~ c0_1(a130)
    | ~ spl0_24
    | ~ spl0_143 ),
    inference(resolution,[],[f838,f297]) ).

fof(f2225,plain,
    ( ~ spl0_174
    | ~ spl0_142
    | ~ spl0_24
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2223,f837,f296,f833,f1472]) ).

fof(f2226,plain,
    ( ~ spl0_174
    | spl0_141
    | ~ spl0_25
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2222,f837,f300,f828,f1472]) ).

fof(f2229,plain,
    ( ~ c3_1(a151)
    | c2_1(a151)
    | ~ spl0_27
    | ~ spl0_106 ),
    inference(resolution,[],[f309,f666]) ).

fof(f2230,plain,
    ( ~ c3_1(a150)
    | c2_1(a150)
    | ~ spl0_27
    | ~ spl0_67 ),
    inference(resolution,[],[f309,f484]) ).

fof(f2231,plain,
    ( spl0_170
    | ~ spl0_66
    | ~ spl0_27
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2230,f483,f308,f478,f1199]) ).

fof(f2232,plain,
    ( spl0_105
    | ~ spl0_166
    | ~ spl0_27
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2229,f665,f308,f1085,f660]) ).

fof(f2249,plain,
    ( spl0_163
    | spl0_76
    | ~ spl0_48
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1356,f529,f393,f525,f1054]) ).

fof(f2267,plain,
    ( ~ c2_1(a137)
    | ~ c0_1(a137)
    | ~ spl0_24
    | ~ spl0_74 ),
    inference(resolution,[],[f516,f297]) ).

fof(f2268,plain,
    ( ~ spl0_175
    | ~ spl0_73
    | ~ spl0_24
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2267,f515,f296,f511,f1583]) ).

fof(f2282,plain,
    ( ~ c2_1(a139)
    | c3_1(a139)
    | ~ spl0_40
    | spl0_121 ),
    inference(resolution,[],[f359,f736]) ).

fof(f2287,plain,
    ( ~ c2_1(a192)
    | c3_1(a192)
    | ~ spl0_40
    | spl0_79 ),
    inference(resolution,[],[f359,f540]) ).

fof(f2289,plain,
    ( spl0_78
    | ~ spl0_80
    | ~ spl0_40
    | spl0_79 ),
    inference(avatar_split_clause,[],[f2287,f539,f358,f543,f534]) ).

fof(f2292,plain,
    ( spl0_120
    | ~ spl0_158
    | ~ spl0_40
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2282,f735,f358,f961,f730]) ).

fof(f2299,plain,
    ( ~ c0_1(a139)
    | c3_1(a139)
    | ~ spl0_41
    | spl0_121 ),
    inference(resolution,[],[f366,f736]) ).

fof(f2308,plain,
    ( spl0_120
    | ~ spl0_122
    | ~ spl0_41
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2299,f735,f365,f739,f730]) ).

fof(f2316,plain,
    ( c0_1(a130)
    | c3_1(a130)
    | ~ spl0_48
    | ~ spl0_142 ),
    inference(resolution,[],[f394,f834]) ).

fof(f2321,plain,
    ( c0_1(a144)
    | c3_1(a144)
    | ~ spl0_48
    | ~ spl0_116 ),
    inference(resolution,[],[f394,f712]) ).

fof(f2326,plain,
    ( spl0_114
    | spl0_115
    | ~ spl0_48
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f2321,f711,f393,f707,f702]) ).

fof(f2327,plain,
    ( spl0_141
    | spl0_174
    | ~ spl0_48
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2316,f833,f393,f1472,f828]) ).

fof(f2332,plain,
    ( ~ c3_1(a135)
    | c0_1(a135)
    | ~ spl0_57
    | spl0_129 ),
    inference(resolution,[],[f437,f773]) ).

fof(f2336,plain,
    ( ~ c3_1(a149)
    | c0_1(a149)
    | ~ spl0_57
    | spl0_109 ),
    inference(resolution,[],[f437,f680]) ).

fof(f2343,plain,
    ( spl0_172
    | ~ spl0_110
    | ~ spl0_57
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2336,f679,f436,f683,f1226]) ).

fof(f2344,plain,
    ( spl0_161
    | ~ spl0_130
    | ~ spl0_57
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2332,f772,f436,f777,f1007]) ).

fof(f2348,plain,
    ( c2_1(a133)
    | c0_1(a133)
    | ~ spl0_62
    | spl0_136 ),
    inference(resolution,[],[f459,f806]) ).

fof(f2354,plain,
    ( c2_1(a183)
    | c0_1(a183)
    | ~ spl0_62
    | spl0_83 ),
    inference(resolution,[],[f459,f558]) ).

fof(f2356,plain,
    ( spl0_157
    | spl0_82
    | ~ spl0_62
    | spl0_83 ),
    inference(avatar_split_clause,[],[f2354,f557,f458,f553,f928]) ).

fof(f2359,plain,
    ( spl0_137
    | spl0_135
    | ~ spl0_62
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2348,f805,f458,f800,f809]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f232]) ).

cnf(s7,plain,
    ( ~ spl0_13
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s8,plain,
    ( ~ spl0_13
    | spl0_14
    | spl0_17
    | spl0_18 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s9,plain,
    ( ~ spl0_13
    | spl0_19
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f287]) ).

cnf(s10,plain,
    ( spl0_1
    | spl0_7
    | ~ spl0_13
    | spl0_21 ),
    inference(sat_conversion,[],[f288]) ).

cnf(s11,plain,
    ( ~ spl0_13
    | spl0_22
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f298]) ).

cnf(s12,plain,
    ( spl0_3
    | ~ spl0_13
    | spl0_25 ),
    inference(sat_conversion,[],[f302]) ).

cnf(s13,plain,
    ( ~ spl0_13
    | spl0_22
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f303]) ).

cnf(s14,plain,
    ( ~ spl0_13
    | spl0_19
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f310]) ).

cnf(s15,plain,
    ( spl0_2
    | ~ spl0_13
    | spl0_19
    | spl0_28 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s16,plain,
    ( ~ spl0_13
    | spl0_28
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s18,plain,
    ( spl0_1
    | ~ spl0_13
    | spl0_32 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s21,plain,
    ( ~ spl0_13
    | spl0_28
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s24,plain,
    ( ~ spl0_13
    | spl0_27
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s25,plain,
    ( ~ spl0_13
    | spl0_30
    | spl0_36
    | spl0_40 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s26,plain,
    ( spl0_4
    | ~ spl0_13
    | spl0_28
    | spl0_40 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s27,plain,
    ( ~ spl0_13
    | spl0_14
    | spl0_32
    | spl0_40 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s28,plain,
    ( ~ spl0_13
    | spl0_27
    | spl0_33
    | spl0_40 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s29,plain,
    ( spl0_2
    | ~ spl0_13
    | spl0_26
    | spl0_41 ),
    inference(sat_conversion,[],[f367]) ).

cnf(s30,plain,
    ( ~ spl0_13
    | spl0_14
    | spl0_28
    | spl0_41 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s31,plain,
    ( ~ spl0_13
    | spl0_23
    | spl0_37
    | spl0_41 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s33,plain,
    ( ~ spl0_13
    | spl0_21
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s34,plain,
    ( ~ spl0_13
    | spl0_27
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s35,plain,
    ( spl0_11
    | ~ spl0_13
    | spl0_17
    | spl0_47 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s36,plain,
    ( ~ spl0_13
    | spl0_36
    | spl0_43
    | spl0_48 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s40,plain,
    ( ~ spl0_13
    | spl0_30
    | spl0_33
    | spl0_48 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s41,plain,
    ( ~ spl0_13
    | spl0_14
    | spl0_44
    | spl0_48 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s42,plain,
    ( ~ spl0_13
    | spl0_47
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s43,plain,
    ( spl0_1
    | ~ spl0_13
    | spl0_16
    | spl0_51 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s44,plain,
    ( spl0_8
    | ~ spl0_13
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s45,plain,
    ( ~ spl0_13
    | spl0_34
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s46,plain,
    ( ~ spl0_13
    | spl0_22
    | spl0_50
    | spl0_54 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s47,plain,
    ( ~ spl0_13
    | spl0_34
    | spl0_40
    | spl0_54 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s48,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_13
    | spl0_55 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s49,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_13
    | spl0_55 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s50,plain,
    ( ~ spl0_13
    | spl0_16
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s54,plain,
    ( spl0_2
    | ~ spl0_13
    | spl0_26
    | spl0_57 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s58,plain,
    ( spl0_6
    | ~ spl0_13
    | spl0_57
    | spl0_61 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s59,plain,
    ( ~ spl0_13
    | spl0_37
    | spl0_56
    | spl0_62 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s60,plain,
    ( ~ spl0_13
    | spl0_42
    | spl0_61
    | spl0_62 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s65,plain,
    ( ~ spl0_49
    | spl0_66 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s66,plain,
    ( ~ spl0_49
    | spl0_67 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s67,plain,
    ( ~ spl0_49
    | spl0_68 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s69,plain,
    ( ~ spl0_50
    | spl0_69 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s70,plain,
    ( ~ spl0_50
    | spl0_70 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s71,plain,
    ( ~ spl0_50
    | spl0_71 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s73,plain,
    ( ~ spl0_16
    | spl0_72 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s74,plain,
    ( ~ spl0_16
    | spl0_73 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s75,plain,
    ( ~ spl0_16
    | spl0_74 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s77,plain,
    ( ~ spl0_15
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s78,plain,
    ( ~ spl0_15
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s79,plain,
    ( ~ spl0_15
    | spl0_77 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s81,plain,
    ( ~ spl0_20
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s82,plain,
    ( ~ spl0_20
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s83,plain,
    ( ~ spl0_20
    | spl0_80 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s85,plain,
    ( ~ spl0_19
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s86,plain,
    ( ~ spl0_19
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s87,plain,
    ( ~ spl0_19
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s89,plain,
    ( ~ spl0_29
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s90,plain,
    ( ~ spl0_29
    | spl0_85 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s91,plain,
    ( ~ spl0_29
    | spl0_86 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s101,plain,
    ( ~ spl0_38
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s102,plain,
    ( ~ spl0_38
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s103,plain,
    ( ~ spl0_38
    | spl0_95 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s105,plain,
    ( ~ spl0_23
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s106,plain,
    ( ~ spl0_23
    | spl0_97 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s107,plain,
    ( ~ spl0_23
    | spl0_98 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s109,plain,
    ( ~ spl0_11
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s110,plain,
    ( ~ spl0_11
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s111,plain,
    ( ~ spl0_11
    | spl0_101 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s113,plain,
    ( ~ spl0_36
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s114,plain,
    ( ~ spl0_36
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s115,plain,
    ( ~ spl0_36
    | spl0_104 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s117,plain,
    ( ~ spl0_30
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s118,plain,
    ( ~ spl0_30
    | spl0_106 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s119,plain,
    ( ~ spl0_30
    | spl0_107 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s121,plain,
    ( ~ spl0_1
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s122,plain,
    ( ~ spl0_1
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s123,plain,
    ( ~ spl0_1
    | spl0_110 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s124,plain,
    ( ~ spl0_1
    | spl0_13 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s125,plain,
    ( ~ spl0_53
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s126,plain,
    ( ~ spl0_53
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s127,plain,
    ( ~ spl0_53
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s129,plain,
    ( ~ spl0_22
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s130,plain,
    ( ~ spl0_22
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s131,plain,
    ( ~ spl0_22
    | spl0_116 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s133,plain,
    ( ~ spl0_3
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s134,plain,
    ( ~ spl0_3
    | spl0_118 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s135,plain,
    ( ~ spl0_3
    | spl0_119 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s136,plain,
    ( ~ spl0_3
    | spl0_13 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s137,plain,
    ( ~ spl0_5
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s138,plain,
    ( ~ spl0_5
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s139,plain,
    ( ~ spl0_5
    | spl0_122 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s141,plain,
    ( ~ spl0_7
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s142,plain,
    ( ~ spl0_7
    | spl0_124 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s143,plain,
    ( ~ spl0_7
    | spl0_125 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s149,plain,
    ( ~ spl0_4
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s150,plain,
    ( ~ spl0_4
    | spl0_130 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s151,plain,
    ( ~ spl0_4
    | spl0_131 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s153,plain,
    ( ~ spl0_43
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s154,plain,
    ( ~ spl0_43
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s155,plain,
    ( ~ spl0_43
    | spl0_134 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s157,plain,
    ( ~ spl0_8
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s158,plain,
    ( ~ spl0_8
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f807]) ).

cnf(s159,plain,
    ( ~ spl0_8
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s161,plain,
    ( ~ spl0_2
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s162,plain,
    ( ~ spl0_2
    | spl0_139 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s163,plain,
    ( ~ spl0_2
    | spl0_140 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s164,plain,
    ( ~ spl0_2
    | spl0_13 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s165,plain,
    ( ~ spl0_26
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s166,plain,
    ( ~ spl0_26
    | spl0_142 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s167,plain,
    ( ~ spl0_26
    | spl0_143 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s169,plain,
    ( ~ spl0_34
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s170,plain,
    ( ~ spl0_34
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s171,plain,
    ( ~ spl0_34
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s177,plain,
    ( ~ spl0_18
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s178,plain,
    ( ~ spl0_18
    | spl0_151 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s179,plain,
    ( ~ spl0_18
    | spl0_152 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s181,plain,
    ( ~ spl0_6
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s182,plain,
    ( ~ spl0_6
    | spl0_154 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s183,plain,
    ( ~ spl0_6
    | spl0_155 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s186,plain,
    ( ~ spl0_17
    | ~ spl0_28
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s194,plain,
    ( ~ spl0_32
    | spl0_103
    | ~ spl0_104
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s197,plain,
    ( ~ spl0_32
    | spl0_35
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s199,plain,
    ( ~ spl0_39
    | spl0_129
    | ~ spl0_131
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s207,plain,
    ( ~ spl0_45
    | spl0_135
    | spl0_136
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1045]) ).

cnf(s212,plain,
    ( ~ spl0_40
    | spl0_75
    | ~ spl0_77
    | spl0_163 ),
    inference(sat_conversion,[],[f1057]) ).

cnf(s221,plain,
    ( ~ spl0_32
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1094]) ).

cnf(s224,plain,
    ( ~ spl0_32
    | spl0_138
    | ~ spl0_140
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1105]) ).

cnf(s235,plain,
    ( ~ spl0_40
    | ~ spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f1174]) ).

cnf(s241,plain,
    ( ~ spl0_21
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f1197]) ).

cnf(s249,plain,
    ( ~ spl0_27
    | ~ spl0_118
    | ~ spl0_119
    | spl0_156 ),
    inference(sat_conversion,[],[f1213]) ).

cnf(s267,plain,
    ( ~ spl0_33
    | spl0_93
    | ~ spl0_95
    | spl0_164 ),
    inference(sat_conversion,[],[f1308]) ).

cnf(s284,plain,
    ( ~ spl0_48
    | spl0_84
    | ~ spl0_85
    | spl0_169 ),
    inference(sat_conversion,[],[f1360]) ).

cnf(s289,plain,
    ( ~ spl0_51
    | spl0_132
    | spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1379]) ).

cnf(s300,plain,
    ( ~ spl0_14
    | ~ spl0_85
    | ~ spl0_86
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1415]) ).

cnf(s319,plain,
    ( ~ spl0_28
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s320,plain,
    ( ~ spl0_28
    | spl0_108
    | ~ spl0_110
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1452]) ).

cnf(s323,plain,
    ( ~ spl0_33
    | spl0_35
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1457]) ).

cnf(s324,plain,
    ( spl0_17
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(sat_conversion,[],[f1458]) ).

cnf(s336,plain,
    ( ~ spl0_51
    | spl0_141
    | ~ spl0_143
    | spl0_174 ),
    inference(sat_conversion,[],[f1482]) ).

cnf(s341,plain,
    ( ~ spl0_42
    | spl0_108
    | spl0_109
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s348,plain,
    ( ~ spl0_47
    | ~ spl0_73
    | ~ spl0_74
    | spl0_175 ),
    inference(sat_conversion,[],[f1586]) ).

cnf(s350,plain,
    ( ~ spl0_21
    | ~ spl0_72
    | ~ spl0_74
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1590]) ).

cnf(s351,plain,
    ( ~ spl0_14
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1591]) ).

cnf(s356,plain,
    ( ~ spl0_41
    | spl0_81
    | spl0_83
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1597]) ).

cnf(s365,plain,
    ( ~ spl0_56
    | spl0_144
    | spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f1623]) ).

cnf(s367,plain,
    ( ~ spl0_57
    | spl0_75
    | spl0_76
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1646]) ).

cnf(s372,plain,
    ( ~ spl0_27
    | spl0_54
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f1651]) ).

cnf(s385,plain,
    ( ~ spl0_37
    | spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1677]) ).

cnf(s392,plain,
    ( ~ spl0_56
    | spl0_81
    | spl0_82
    | spl0_157 ),
    inference(sat_conversion,[],[f1686]) ).

cnf(s398,plain,
    ( ~ spl0_37
    | spl0_109
    | ~ spl0_110
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s402,plain,
    ( ~ spl0_44
    | spl0_81
    | spl0_82
    | spl0_83 ),
    inference(sat_conversion,[],[f1754]) ).

cnf(s414,plain,
    ( ~ spl0_14
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1782]) ).

cnf(s415,plain,
    ( ~ spl0_14
    | ~ spl0_118
    | ~ spl0_119
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1783]) ).

cnf(s427,plain,
    ( ~ spl0_45
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1828]) ).

cnf(s434,plain,
    ( ~ spl0_46
    | ~ spl0_72
    | ~ spl0_73
    | spl0_175 ),
    inference(sat_conversion,[],[f1854]) ).

cnf(s435,plain,
    ( ~ spl0_46
    | spl0_76
    | ~ spl0_77
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s437,plain,
    ( ~ spl0_46
    | spl0_153
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1859]) ).

cnf(s448,plain,
    ( ~ spl0_56
    | spl0_135
    | spl0_137
    | spl0_162 ),
    inference(sat_conversion,[],[f1885]) ).

cnf(s464,plain,
    ( ~ spl0_56
    | spl0_102
    | spl0_103
    | spl0_160 ),
    inference(sat_conversion,[],[f1934]) ).

cnf(s477,plain,
    ( ~ spl0_61
    | spl0_111
    | spl0_112
    | spl0_113 ),
    inference(sat_conversion,[],[f1974]) ).

cnf(s484,plain,
    ( ~ spl0_33
    | spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f1981]) ).

cnf(s490,plain,
    ( ~ spl0_33
    | spl0_105
    | ~ spl0_106
    | spl0_166 ),
    inference(sat_conversion,[],[f1987]) ).

cnf(s502,plain,
    ( ~ spl0_35
    | spl0_120
    | ~ spl0_122
    | spl0_158 ),
    inference(sat_conversion,[],[f1999]) ).

cnf(s508,plain,
    ( ~ spl0_52
    | ~ spl0_139
    | ~ spl0_140
    | spl0_167 ),
    inference(sat_conversion,[],[f2005]) ).

cnf(s509,plain,
    ( ~ spl0_52
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2006]) ).

cnf(s529,plain,
    ( ~ spl0_17
    | ~ spl0_130
    | ~ spl0_131
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2027]) ).

cnf(s532,plain,
    ( ~ spl0_17
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f2030]) ).

cnf(s565,plain,
    ( ~ spl0_46
    | ~ spl0_130
    | ~ spl0_131
    | spl0_161 ),
    inference(sat_conversion,[],[f2067]) ).

cnf(s566,plain,
    ( ~ spl0_17
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2073]) ).

cnf(s572,plain,
    ( ~ spl0_25
    | spl0_102
    | ~ spl0_104
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2099]) ).

cnf(s573,plain,
    ( ~ spl0_25
    | ~ spl0_106
    | ~ spl0_107
    | spl0_166 ),
    inference(sat_conversion,[],[f2100]) ).

cnf(s575,plain,
    ( ~ spl0_25
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f2102]) ).

cnf(s583,plain,
    ( ~ spl0_54
    | spl0_93
    | spl0_94
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s584,plain,
    ( ~ spl0_54
    | spl0_108
    | ~ spl0_110
    | spl0_172 ),
    inference(sat_conversion,[],[f2156]) ).

cnf(s585,plain,
    ( ~ spl0_54
    | spl0_117
    | ~ spl0_118
    | spl0_156 ),
    inference(sat_conversion,[],[f2157]) ).

cnf(s591,plain,
    ( ~ spl0_55
    | spl0_103
    | ~ spl0_104
    | spl0_160 ),
    inference(sat_conversion,[],[f2173]) ).

cnf(s594,plain,
    ( ~ spl0_55
    | spl0_138
    | ~ spl0_140
    | spl0_167 ),
    inference(sat_conversion,[],[f2176]) ).

cnf(s596,plain,
    ( ~ spl0_27
    | spl0_138
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2178]) ).

cnf(s609,plain,
    ( ~ spl0_35
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f2191]) ).

cnf(s610,plain,
    ( ~ spl0_35
    | spl0_81
    | spl0_82
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2192]) ).

cnf(s635,plain,
    ( ~ spl0_54
    | spl0_138
    | ~ spl0_139
    | spl0_167 ),
    inference(sat_conversion,[],[f2220]) ).

cnf(s636,plain,
    ( ~ spl0_24
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2225]) ).

cnf(s637,plain,
    ( ~ spl0_25
    | spl0_141
    | ~ spl0_143
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2226]) ).

cnf(s638,plain,
    ( ~ spl0_27
    | ~ spl0_66
    | ~ spl0_67
    | spl0_170 ),
    inference(sat_conversion,[],[f2231]) ).

cnf(s639,plain,
    ( ~ spl0_27
    | spl0_105
    | ~ spl0_106
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2232]) ).

cnf(s656,plain,
    ( ~ spl0_48
    | spl0_76
    | ~ spl0_77
    | spl0_163 ),
    inference(sat_conversion,[],[f2249]) ).

cnf(s673,plain,
    ( ~ spl0_24
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2268]) ).

cnf(s675,plain,
    ( ~ spl0_40
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f2289]) ).

cnf(s678,plain,
    ( ~ spl0_40
    | spl0_120
    | spl0_121
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2292]) ).

cnf(s681,plain,
    ( ~ spl0_41
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2308]) ).

cnf(s683,plain,
    ( ~ spl0_48
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2326]) ).

cnf(s684,plain,
    ( ~ spl0_48
    | spl0_141
    | ~ spl0_142
    | spl0_174 ),
    inference(sat_conversion,[],[f2327]) ).

cnf(s687,plain,
    ( ~ spl0_57
    | spl0_109
    | ~ spl0_110
    | spl0_172 ),
    inference(sat_conversion,[],[f2343]) ).

cnf(s688,plain,
    ( ~ spl0_57
    | spl0_129
    | ~ spl0_130
    | spl0_161 ),
    inference(sat_conversion,[],[f2344]) ).

cnf(s689,plain,
    ( ~ spl0_62
    | spl0_82
    | spl0_83
    | spl0_157 ),
    inference(sat_conversion,[],[f2356]) ).

cnf(s692,plain,
    ( ~ spl0_62
    | spl0_135
    | spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f2359]) ).

cnf(s693,plain,
    ( spl0_28
    | spl0_4
    | ~ spl0_32
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119
    | ~ spl0_13 ),
    inference(rat,[],[s351,s73,s74,s75,s50,s464,s194,s113,s114,s115,s21,s502,s585,s678,s415,s26,s30,s681,s137,s138,s139,s2]) ).

cnf(s694,plain,
    ( ~ spl0_16
    | ~ spl0_14 ),
    inference(rat,[],[s351,s73,s74,s75]) ).

cnf(s695,plain,
    ( ~ spl0_23
    | ~ spl0_28 ),
    inference(rat,[],[s319,s105,s106,s107]) ).

cnf(s696,plain,
    ( ~ spl0_43
    | ~ spl0_51 ),
    inference(rat,[],[s289,s153,s154,s155]) ).

cnf(s697,plain,
    ( ~ spl0_14
    | ~ spl0_26
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s464,s194,s113,s114,s115,s36,s696,s683,s129,s130,s131,s13,s636,s637,s336,s43,s50,s694,s585,s415,s135,s134,s133,s18,s136,s167,s166,s165]) ).

cnf(s698,plain,
    ( ~ spl0_30
    | ~ spl0_32 ),
    inference(rat,[],[s221,s117,s118,s119]) ).

cnf(s699,plain,
    ( ~ spl0_51
    | ~ spl0_26
    | spl0_30
    | ~ spl0_13 ),
    inference(rat,[],[s484,s113,s114,s115,s40,s36,s683,s129,s130,s131,s13,s636,s637,s696,s336,s167,s166,s165]) ).

cnf(s700,plain,
    ( ~ spl0_48
    | ~ spl0_26
    | ~ spl0_13 ),
    inference(rat,[],[s683,s129,s130,s131,s13,s636,s637,s684,s167,s166,s165]) ).

cnf(s701,plain,
    ( ~ spl0_7
    | ~ spl0_37 ),
    inference(rat,[],[s385,s141,s142,s143]) ).

cnf(s702,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s241,s65,s66,s67,s42,s348,s350,s10,s701,s700,s73,s74,s75,s43,s699,s31,s695,s693,s29,s681,s137,s138,s139,s2,s135,s134,s133,s698,s18,s136,s1]) ).

cnf(s703,plain,
    ( spl0_41
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s241,s65,s66,s67,s42,s348,s350,s10,s701,s31,s73,s74,s75,s695,s43,s30,s700,s699,s697,s29,s698,s18,s136,s1]) ).

cnf(s704,plain,
    ( spl0_16
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s484,s113,s114,s115,s40,s25,s656,s212,s367,s77,s78,s79,s7,s529,s688,s54,s699,s43,s698,s18,s136,s1,s151,s150,s149,s702]) ).

cnf(s707,plain,
    ( ~ spl0_36
    | ~ spl0_33 ),
    inference(rat,[],[s484,s113,s114,s115]) ).

cnf(s709,plain,
    ( ~ spl0_11
    | ~ spl0_35 ),
    inference(rat,[],[s609,s109,s110,s111]) ).

cnf(s710,plain,
    ( spl0_48
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s402,s85,s86,s87,s15,s186,s35,s142,s143,s10,s241,s65,s66,s67,s42,s235,s25,s707,s41,s40,s698,s694,s704,s709,s197,s703,s18,s136,s1]) ).

cnf(s711,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s683,s129,s130,s131,s13,s673,s575,s348,s177,s178,s179,s35,s8,s529,s688,s54,s700,s710,s709,s694,s74,s75,s704,s197,s703,s149,s150,s151,s702,s18,s136,s1]) ).

cnf(s712,plain,
    ( spl0_48
    | spl0_1 ),
    inference(rat,[],[s695,s31,s21,s323,s709,s35,s566,s434,s34,s207,s448,s59,s701,s10,s241,s692,s65,s66,s67,s157,s158,s159,s73,s74,s42,s44,s43,s235,s696,s25,s36,s707,s40,s596,s698,s508,s224,s161,s18,s164,s163,s162,s711]) ).

cnf(s713,plain,
    ( ~ spl0_41
    | spl0_1 ),
    inference(rat,[],[s681,s137,s138,s139,s49,s701,s59,s392,s689,s356,s594,s224,s18,s87,s86,s85,s14,s700,s712,s164,s596,s161,s162,s163,s711]) ).

cnf(s714,plain,
    ( spl0_28
    | spl0_1 ),
    inference(rat,[],[s284,s300,s89,s90,s91,s16,s30,s698,s18,s164,s711,s712,s713]) ).

cnf(s715,plain,
    ( ~ spl0_22
    | ~ spl0_48 ),
    inference(rat,[],[s683,s129,s130,s131]) ).

cnf(s716,plain,
    spl0_1,
    inference(rat,[],[s532,s324,s69,s70,s71,s11,s46,s715,s31,s695,s714,s713,s712,s635,s224,s18,s161,s162,s163,s164,s711]) ).

cnf(s717,plain,
    spl0_13,
    inference(rat,[],[s124,s716]) ).

cnf(s718,plain,
    spl0_110,
    inference(rat,[],[s123,s716]) ).

cnf(s719,plain,
    ~ spl0_109,
    inference(rat,[],[s122,s716]) ).

cnf(s720,plain,
    ~ spl0_108,
    inference(rat,[],[s121,s716]) ).

cnf(s721,plain,
    ~ spl0_45,
    inference(rat,[],[s427,s718,s719,s720]) ).

cnf(s724,plain,
    ( spl0_82
    | spl0_81
    | ~ spl0_56
    | ~ spl0_35 ),
    inference(rat,[],[s392,s610]) ).

cnf(s725,plain,
    ( ~ spl0_20
    | ~ spl0_40 ),
    inference(rat,[],[s675,s81,s82,s83]) ).

cnf(s728,plain,
    ( ~ spl0_40
    | spl0_19
    | spl0_48 ),
    inference(rat,[],[s241,s65,s66,s67,s9,s42,s725,s235,s717]) ).

cnf(s729,plain,
    ( spl0_166
    | ~ spl0_14
    | spl0_40
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(rat,[],[s415,s249,s28,s134,s135,s12,s490,s573,s717]) ).

cnf(s731,plain,
    ( ~ spl0_6
    | ~ spl0_46 ),
    inference(rat,[],[s437,s181,s182,s183]) ).

cnf(s732,plain,
    ( ~ spl0_4
    | ~ spl0_17
    | ~ spl0_46 ),
    inference(rat,[],[s529,s565,s150,s151]) ).

cnf(s734,plain,
    ( ~ spl0_53
    | ~ spl0_61 ),
    inference(rat,[],[s477,s125,s126,s127]) ).

cnf(s735,plain,
    ( spl0_172
    | spl0_6
    | spl0_16 ),
    inference(rat,[],[s365,s169,s170,s171,s45,s734,s58,s50,s687,s584,s717,s718,s719,s720]) ).

cnf(s736,plain,
    ( ~ spl0_35
    | spl0_37
    | spl0_81
    | spl0_82
    | spl0_83 ),
    inference(rat,[],[s59,s689,s724,s610,s717]) ).

cnf(s737,plain,
    ( ~ spl0_56
    | spl0_102
    | spl0_103
    | ~ spl0_104
    | spl0_42
    | spl0_51
    | ~ spl0_14 ),
    inference(rat,[],[s365,s169,s170,s171,s45,s734,s60,s692,s157,s158,s159,s44,s585,s509,s415,s133,s134,s135,s12,s572,s464,s717]) ).

cnf(s738,plain,
    ( ~ spl0_3
    | ~ spl0_54
    | ~ spl0_14 ),
    inference(rat,[],[s585,s415,s133,s134,s135]) ).

cnf(s739,plain,
    ( ~ spl0_40
    | spl0_48 ),
    inference(rat,[],[s212,s435,s77,s78,s79,s7,s732,s48,s591,s572,s12,s738,s50,s737,s113,s114,s115,s21,s736,s341,s398,s320,s735,s731,s34,s638,s696,s414,s694,s33,s41,s241,s402,s65,s66,s67,s85,s86,s87,s42,s728,s235,s721,s718,s720,s719,s717]) ).

cnf(s740,plain,
    ( spl0_54
    | spl0_16
    | spl0_40 ),
    inference(rat,[],[s365,s169,s170,s171,s50,s47,s717]) ).

cnf(s741,plain,
    ( spl0_27
    | ~ spl0_54
    | spl0_40 ),
    inference(rat,[],[s583,s267,s101,s102,s103,s24,s199,s565,s28,s34,s151,s150,s149,s26,s320,s584,s717,s721,s720,s718]) ).

cnf(s745,plain,
    ( ~ spl0_30
    | ~ spl0_27
    | ~ spl0_25 ),
    inference(rat,[],[s639,s573,s117,s118,s119]) ).

cnf(s746,plain,
    ( spl0_30
    | spl0_48 ),
    inference(rat,[],[s707,s25,s40,s739,s717]) ).

cnf(s747,plain,
    spl0_48,
    inference(rat,[],[s741,s639,s740,s729,s694,s27,s698,s117,s118,s119,s746,s739,s717]) ).

cnf(s748,plain,
    ~ spl0_26,
    inference(rat,[],[s700,s717,s747]) ).

cnf(s749,plain,
    ~ spl0_22,
    inference(rat,[],[s715,s747]) ).

cnf(s750,plain,
    ~ spl0_15,
    inference(rat,[],[s596,s161,s162,s163,s54,s34,s367,s435,s656,s77,s78,s79,s748,s717,s721,s747]) ).

cnf(s751,plain,
    ( ~ spl0_50
    | ~ spl0_17 ),
    inference(rat,[],[s532,s69,s70,s71]) ).

cnf(s752,plain,
    ( spl0_27
    | ~ spl0_14 ),
    inference(rat,[],[s572,s591,s113,s114,s115,s21,s736,s48,s85,s86,s87,s732,s14,s34,s320,s398,s584,s12,s738,s46,s751,s7,s694,s717,s748,s721,s749,s750,s719,s718,s720]) ).

cnf(s753,plain,
    ~ spl0_14,
    inference(rat,[],[s284,s300,s89,s90,s91,s16,s745,s752,s12,s320,s738,s584,s46,s751,s7,s694,s747,s717,s718,s720,s749,s750]) ).

cnf(s754,plain,
    ( ~ spl0_27
    | spl0_54 ),
    inference(rat,[],[s596,s161,s162,s163,s54,s372,s717,s748]) ).

cnf(s755,plain,
    spl0_54,
    inference(rat,[],[s754,s34,s434,s673,s13,s575,s177,s178,s179,s73,s74,s75,s8,s7,s751,s46,s717,s721,s749,s753,s750]) ).

cnf(s756,plain,
    spl0_172,
    inference(rat,[],[s584,s720,s718,s755]) ).

cnf(s757,plain,
    ~ spl0_28,
    inference(rat,[],[s320,s720,s718,s756]) ).

cnf(s758,plain,
    ~ spl0_37,
    inference(rat,[],[s398,s719,s718,s756]) ).

cnf(s760,plain,
    spl0_41,
    inference(rat,[],[s30,s753,s717,s757]) ).

cnf(s765,plain,
    ~ spl0_19,
    inference(rat,[],[s59,s392,s689,s356,s85,s86,s87,s717,s758,s760]) ).

cnf(s766,plain,
    spl0_2,
    inference(rat,[],[s15,s717,s757,s765]) ).

cnf(s767,plain,
    spl0_27,
    inference(rat,[],[s14,s748,s717,s765]) ).

cnf(s768,plain,
    spl0_140,
    inference(rat,[],[s163,s766]) ).

cnf(s769,plain,
    spl0_139,
    inference(rat,[],[s162,s766]) ).

cnf(s770,plain,
    ~ spl0_138,
    inference(rat,[],[s161,s766]) ).

cnf(s771,plain,
    $false,
    inference(rat,[],[s596,s768,s767,s769,s770]) ).

fof(f2360,plain,
    $false,
    inference(avatar_sat_refutation,[],[s771]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN442+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n010.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 16:01:18 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.00/1.12  % (2041748)Detected formulas, will run a generic FOF schedule.
% 3.00/1.12  % (2041757)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=475729609:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.00/1.12  % (2041757)Instruction limit reached! 
% 3.00/1.12  % (2041757)------------------------------
% 3.00/1.12  % (2041757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.12  % (2041757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.12  % (2041757)CaDiCaL version: 2.1.3
% 3.00/1.12  % (2041757)Termination reason: Instruction limit
% 3.00/1.12  % (2041757)Termination phase: Saturation
% 3.00/1.12  % (2041757)Time elapsed: 0.031 s
% 3.00/1.12  % (2041757)Peak memory usage: 88 MB
% 3.00/1.12  % (2041757)Instructions burned: 121 (million)
% 3.00/1.12  % (2041758)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3289459517:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.00/1.12  % (2041755)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4115104313:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.00/1.12  % (2041754)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3744419375:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.00/1.12  % (2041753)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=560849719:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.00/1.12  % (2041756)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1922897370:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.00/1.12  % (2041759)dis-21_1_sil=8000:lcm=predicate:random_seed=2537227344:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.00/1.12  % (2041759)First to succeed.
% 3.00/1.12  % (2041759)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2041748"
% 3.00/1.12  % (2041758)Also succeeded, but the first one will report.
% 3.00/1.12  % (2041756)Also succeeded, but the first one will report.
% 3.00/1.12  % (2041761)lrs+10_1_sil=8000:sp=occurrence:random_seed=4140132585:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.00/1.12  % (2041761)Also succeeded, but the first one will report.
% 3.00/1.12  % (2041759)Refutation found. Thanks to Tanya!
% 3.00/1.12  % SZS status Theorem for theBenchmark
% 3.00/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.32  % (2041759)------------------------------
% 3.87/1.32  % (2041759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.32  % (2041759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.32  % (2041759)CaDiCaL version: 2.1.3
% 3.87/1.32  % (2041759)Termination reason: Refutation
% 3.87/1.32  % (2041759)Time elapsed: 0.041 s
% 3.87/1.32  % (2041759)Peak memory usage: 90 MB
% 3.87/1.32  % (2041759)Instructions burned: 65 (million)
% 3.87/1.32  % (2041759)------------------------------
% 3.87/1.32  % (2041759)------------------------------
% 3.87/1.32  % (2041748)Success in time 0.455 s
% 3.87/1.32  % Vampire exiting
%------------------------------------------------------------------------------