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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN459+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 : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:52:29 PM UTC 2026

% Result   : Theorem 0.66s 0.99s
% Output   : Refutation 2.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :  123
% Syntax   : Number of formulae    :  793 (  32 unt; 122 def)
%            Number of atoms       : 5696 (   0 equ)
%            Maximal formula atoms :  605 (   7 avg)
%            Number of connectives : 7603 (2700   ~;3669   |; 815   &)
%                                         ( 122 <=>; 297  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   93 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  154 ( 153 usr; 150 prp; 0-1 aty)
%            Number of functors    :   26 (  26 usr;  26 con; 0-0 aty)
%            Number of variables   :  677 (   0 sgn 677   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ c0_1(a188)
          & ~ c1_1(a188)
          & ~ c3_1(a188) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a190)
          & c2_1(a190)
          & ~ c3_1(a190) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c1_1(a191)
          & ~ c2_1(a191)
          & ~ c3_1(a191) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a192)
          & c1_1(a192)
          & ~ c3_1(a192) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a193)
          & ~ c0_1(a193)
          & ~ c3_1(a193) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a194)
          & ~ c1_1(a194)
          & ~ c2_1(a194) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a195)
          & ~ c1_1(a195)
          & ~ c3_1(a195) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a197)
          & ~ c0_1(a197)
          & ~ c2_1(a197) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a198)
          & c3_1(a198)
          & ~ c2_1(a198) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a199)
          & ~ c0_1(a199)
          & ~ c1_1(a199) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a200)
          & c3_1(a200)
          & ~ c1_1(a200) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a202)
          & ~ c2_1(a202)
          & ~ c3_1(a202) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a206)
          & ~ c2_1(a206)
          & ~ c3_1(a206) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a209)
          & c3_1(a209)
          & ~ c0_1(a209) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a210)
          & c3_1(a210)
          & ~ c1_1(a210) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a214)
          & ~ c0_1(a214)
          & ~ c3_1(a214) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ c0_1(a221)
          & ~ c1_1(a221)
          & ~ c2_1(a221) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a222)
          & c2_1(a222)
          & ~ c3_1(a222) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c3_1(a223)
          & ~ c1_1(a223)
          & ~ c2_1(a223) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c3_1(a225)
          & ~ c0_1(a225)
          & ~ c1_1(a225) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a233)
          & c3_1(a233)
          & ~ c0_1(a233) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a257)
          & ~ c1_1(a257)
          & ~ c3_1(a257) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c3_1(a259)
          & ~ c0_1(a259)
          & ~ c2_1(a259) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a189)
          & c1_1(a189)
          & c3_1(a189) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a215)
          & c2_1(a215)
          & c3_1(a215) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a230)
          & c1_1(a230)
          & c2_1(a230) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | ~ c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | c2_1(X2)
              | c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | ~ c0_1(X4)
              | ~ c3_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c2_1(X6)
              | ~ c1_1(X6) ) )
        | hskp23 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | hskp1 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | ~ c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | c2_1(X10)
              | ~ c3_1(X10) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | ~ c1_1(X12)
              | ~ c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | c2_1(X13)
              | ~ c0_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | ~ c0_1(X15)
              | ~ c1_1(X15) ) )
        | hskp2 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c3_1(X16) ) )
        | hskp3
        | hskp4 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c2_1(X17)
              | c3_1(X17) ) )
        | hskp5
        | hskp6 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | hskp6 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c1_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c1_1(X20)
              | ~ c2_1(X20)
              | ~ c3_1(X20) ) )
        | hskp7 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | ~ c1_1(X21) ) )
        | hskp8
        | hskp9 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c2_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | ~ c1_1(X23)
              | ~ c2_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | ~ c0_1(X24)
              | ~ c3_1(X24) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c1_1(X26)
              | c3_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | ~ c0_1(X27)
              | ~ c2_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | c3_1(X29)
              | ~ c0_1(X29) ) )
        | hskp10 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | ~ c1_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c3_1(X31)
              | ~ c2_1(X31) ) )
        | hskp5 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c3_1(X32)
              | ~ c2_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | c3_1(X33)
              | ~ c0_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | ~ c1_1(X34)
              | ~ c2_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c3_1(X35)
              | ~ c2_1(X35) ) )
        | hskp11
        | hskp9 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | ~ c1_1(X36)
              | ~ c2_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | c2_1(X37)
              | ~ c0_1(X37) ) )
        | hskp2 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c1_1(X38)
              | ~ c2_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c2_1(X39)
              | ~ c1_1(X39)
              | ~ c3_1(X39) ) )
        | hskp0 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | ~ c1_1(X40)
              | ~ c2_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | ~ c0_1(X41)
              | ~ c1_1(X41) ) )
        | hskp12 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c1_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c0_1(X43)
              | ~ c2_1(X43)
              | ~ c3_1(X43) ) )
        | hskp6 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | ~ c1_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c2_1(X45)
              | c3_1(X45) ) )
        | hskp10 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | ~ c2_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c2_1(X47)
              | c3_1(X47) ) )
        | hskp13 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c2_1(X48)
              | ~ c3_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | ~ c2_1(X49)
              | ~ c3_1(X49) ) )
        | hskp14 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c2_1(X50)
              | ~ c3_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | hskp7 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c2_1(X52)
              | ~ c3_1(X52) ) )
        | hskp8
        | hskp4 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c2_1(X53)
              | c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | c3_1(X54)
              | ~ c1_1(X54) ) )
        | hskp15 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c2_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | ~ c0_1(X56)
              | ~ c3_1(X56) ) )
        | hskp24 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | c3_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | ~ c1_1(X59)
              | ~ c2_1(X59) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c2_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | ~ c0_1(X61)
              | ~ c2_1(X61) ) )
        | hskp1 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c2_1(X62)
              | ~ c0_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) )
        | hskp9 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c2_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c2_1(X65)
              | c3_1(X65)
              | ~ c0_1(X65) ) )
        | hskp1 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c0_1(X67)
              | ~ c1_1(X67) ) )
        | hskp13 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c3_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | ~ c1_1(X69)
              | ~ c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | ~ c0_1(X71) ) )
        | hskp23
        | hskp16 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c3_1(X72)
              | ~ c0_1(X72) ) )
        | hskp17
        | hskp18 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c3_1(X73)
              | ~ c2_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | ~ c0_1(X74)
              | ~ c1_1(X74) ) )
        | hskp24 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c3_1(X75)
              | ~ c2_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | ~ c0_1(X76)
              | ~ c2_1(X76) ) )
        | hskp19 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | ~ c2_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | c3_1(X78)
              | ~ c0_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c1_1(X79)
              | ~ c2_1(X79) ) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | ~ c0_1(X82)
              | ~ c1_1(X82) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | c3_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c1_1(X84)
              | ~ c2_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c1_1(X85)
              | ~ c3_1(X85) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) )
        | hskp13 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | c3_1(X88)
              | ~ c1_1(X88) ) )
        | hskp3
        | hskp12 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | ~ c0_1(X89)
              | ~ c1_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c3_1(X90)
              | ~ c1_1(X90)
              | ~ c2_1(X90) ) )
        | hskp12 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | ~ c0_1(X91)
              | ~ c1_1(X91) ) )
        | hskp25
        | hskp16 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) )
        | hskp4
        | hskp20 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c0_1(X93)
              | ~ c1_1(X93) ) )
        | hskp7
        | hskp4 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | ~ c0_1(X94)
              | ~ c1_1(X94) ) )
        | hskp7
        | hskp9 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c3_1(X95)
              | ~ c0_1(X95)
              | ~ c2_1(X95) ) )
        | hskp10
        | hskp24 )
      & ( ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c1_1(X96)
              | ~ c3_1(X96) ) )
        | hskp1
        | hskp2 )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c2_1(X97)
              | ~ c3_1(X97) ) )
        | hskp23
        | hskp5 )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c2_1(X98)
              | ~ c3_1(X98) ) )
        | hskp16
        | hskp12 )
      & ( hskp25
        | hskp15
        | hskp2 )
      & ( hskp23
        | hskp9
        | hskp2 )
      & ( hskp1
        | hskp9
        | hskp0 )
      & ( hskp5
        | hskp15
        | hskp21 )
      & ( hskp24
        | hskp22
        | hskp2 )
      & ( hskp7
        | hskp14
        | hskp9 )
      & ( hskp14
        | hskp15
        | hskp12 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c0_1(a188)
            & ~ c1_1(a188)
            & ~ c3_1(a188) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a190)
            & c2_1(a190)
            & ~ c3_1(a190) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c1_1(a191)
            & ~ c2_1(a191)
            & ~ c3_1(a191) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a192)
            & c1_1(a192)
            & ~ c3_1(a192) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a193)
            & ~ c0_1(a193)
            & ~ c3_1(a193) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a194)
            & ~ c1_1(a194)
            & ~ c2_1(a194) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a195)
            & ~ c1_1(a195)
            & ~ c3_1(a195) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a197)
            & ~ c0_1(a197)
            & ~ c2_1(a197) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a198)
            & c3_1(a198)
            & ~ c2_1(a198) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a199)
            & ~ c0_1(a199)
            & ~ c1_1(a199) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a200)
            & c3_1(a200)
            & ~ c1_1(a200) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a202)
            & ~ c2_1(a202)
            & ~ c3_1(a202) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a206)
            & ~ c2_1(a206)
            & ~ c3_1(a206) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a209)
            & c3_1(a209)
            & ~ c0_1(a209) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a210)
            & c3_1(a210)
            & ~ c1_1(a210) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a214)
            & ~ c0_1(a214)
            & ~ c3_1(a214) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & ~ c0_1(a221)
            & ~ c1_1(a221)
            & ~ c2_1(a221) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a222)
            & c2_1(a222)
            & ~ c3_1(a222) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c3_1(a223)
            & ~ c1_1(a223)
            & ~ c2_1(a223) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c3_1(a225)
            & ~ c0_1(a225)
            & ~ c1_1(a225) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a233)
            & c3_1(a233)
            & ~ c0_1(a233) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a257)
            & ~ c1_1(a257)
            & ~ c3_1(a257) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c3_1(a259)
            & ~ c0_1(a259)
            & ~ c2_1(a259) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a189)
            & c1_1(a189)
            & c3_1(a189) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a215)
            & c2_1(a215)
            & c3_1(a215) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a230)
            & c1_1(a230)
            & c2_1(a230) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | ~ c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c2_1(X2)
                | c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | ~ c0_1(X4)
                | ~ c3_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c2_1(X6)
                | ~ c1_1(X6) ) )
          | hskp23 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | hskp1 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c2_1(X10)
                | ~ c3_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c2_1(X13)
                | ~ c0_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | ~ c0_1(X15)
                | ~ c1_1(X15) ) )
          | hskp2 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c3_1(X16) ) )
          | hskp3
          | hskp4 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | c3_1(X17) ) )
          | hskp5
          | hskp6 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | hskp6 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c2_1(X20)
                | ~ c3_1(X20) ) )
          | hskp7 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | ~ c1_1(X21) ) )
          | hskp8
          | hskp9 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c1_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | ~ c0_1(X24)
                | ~ c3_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | c3_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | ~ c0_1(X27)
                | ~ c2_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | c3_1(X29)
                | ~ c0_1(X29) ) )
          | hskp10 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c3_1(X31)
                | ~ c2_1(X31) ) )
          | hskp5 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c3_1(X32)
                | ~ c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | c3_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | ~ c1_1(X34)
                | ~ c2_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c3_1(X35)
                | ~ c2_1(X35) ) )
          | hskp11
          | hskp9 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c1_1(X36)
                | ~ c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | c2_1(X37)
                | ~ c0_1(X37) ) )
          | hskp2 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | ~ c1_1(X39)
                | ~ c3_1(X39) ) )
          | hskp0 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | ~ c1_1(X40)
                | ~ c2_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | ~ c0_1(X41)
                | ~ c1_1(X41) ) )
          | hskp12 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c1_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | ~ c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp6 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c1_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c2_1(X45)
                | c3_1(X45) ) )
          | hskp10 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c2_1(X47)
                | c3_1(X47) ) )
          | hskp13 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c2_1(X48)
                | ~ c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | ~ c2_1(X49)
                | ~ c3_1(X49) ) )
          | hskp14 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c2_1(X50)
                | ~ c3_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | hskp7 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c2_1(X52)
                | ~ c3_1(X52) ) )
          | hskp8
          | hskp4 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c2_1(X53)
                | c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) )
          | hskp15 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c2_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | ~ c0_1(X56)
                | ~ c3_1(X56) ) )
          | hskp24 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | c3_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c1_1(X59)
                | ~ c2_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c2_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c0_1(X61)
                | ~ c2_1(X61) ) )
          | hskp1 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) )
          | hskp9 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c2_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | c3_1(X65)
                | ~ c0_1(X65) ) )
          | hskp1 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c0_1(X67)
                | ~ c1_1(X67) ) )
          | hskp13 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c3_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | ~ c1_1(X69)
                | ~ c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | ~ c0_1(X71) ) )
          | hskp23
          | hskp16 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c3_1(X72)
                | ~ c0_1(X72) ) )
          | hskp17
          | hskp18 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c3_1(X73)
                | ~ c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c0_1(X74)
                | ~ c1_1(X74) ) )
          | hskp24 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c3_1(X75)
                | ~ c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | ~ c0_1(X76)
                | ~ c2_1(X76) ) )
          | hskp19 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | c3_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c1_1(X79)
                | ~ c2_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c1_1(X84)
                | ~ c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c1_1(X85)
                | ~ c3_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp13 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c3_1(X88)
                | ~ c1_1(X88) ) )
          | hskp3
          | hskp12 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | ~ c0_1(X89)
                | ~ c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | ~ c1_1(X90)
                | ~ c2_1(X90) ) )
          | hskp12 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | ~ c0_1(X91)
                | ~ c1_1(X91) ) )
          | hskp25
          | hskp16 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) )
          | hskp4
          | hskp20 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c0_1(X93)
                | ~ c1_1(X93) ) )
          | hskp7
          | hskp4 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c0_1(X94)
                | ~ c1_1(X94) ) )
          | hskp7
          | hskp9 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | ~ c0_1(X95)
                | ~ c2_1(X95) ) )
          | hskp10
          | hskp24 )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c1_1(X96)
                | ~ c3_1(X96) ) )
          | hskp1
          | hskp2 )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) )
          | hskp23
          | hskp5 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c2_1(X98)
                | ~ c3_1(X98) ) )
          | hskp16
          | hskp12 )
        & ( hskp25
          | hskp15
          | hskp2 )
        & ( hskp23
          | hskp9
          | hskp2 )
        & ( hskp1
          | hskp9
          | hskp0 )
        & ( hskp5
          | hskp15
          | hskp21 )
        & ( hskp24
          | hskp22
          | hskp2 )
        & ( hskp7
          | hskp14
          | hskp9 )
        & ( hskp14
          | hskp15
          | hskp12 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a188)
        & ~ c1_1(a188)
        & ~ c3_1(a188) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a190)
        & c2_1(a190)
        & ~ c3_1(a190) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a191)
        & ~ c2_1(a191)
        & ~ c3_1(a191) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a192)
        & c1_1(a192)
        & ~ c3_1(a192) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a193)
        & ~ c0_1(a193)
        & ~ c3_1(a193) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a194)
        & ~ c1_1(a194)
        & ~ c2_1(a194) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a195)
        & ~ c1_1(a195)
        & ~ c3_1(a195) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a197)
        & ~ c0_1(a197)
        & ~ c2_1(a197) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a198)
        & c3_1(a198)
        & ~ c2_1(a198) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a199)
        & ~ c0_1(a199)
        & ~ c1_1(a199) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a200)
        & c3_1(a200)
        & ~ c1_1(a200) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a202)
        & ~ c2_1(a202)
        & ~ c3_1(a202) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a206)
        & ~ c2_1(a206)
        & ~ c3_1(a206) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a209)
        & c3_1(a209)
        & ~ c0_1(a209) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a210)
        & c3_1(a210)
        & ~ c1_1(a210) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a214)
        & ~ c0_1(a214)
        & ~ c3_1(a214) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a221)
        & ~ c1_1(a221)
        & ~ c2_1(a221) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a222)
        & c2_1(a222)
        & ~ c3_1(a222) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a223)
        & ~ c1_1(a223)
        & ~ c2_1(a223) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a225)
        & ~ c0_1(a225)
        & ~ c1_1(a225) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a233)
        & c3_1(a233)
        & ~ c0_1(a233) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a257)
        & ~ c1_1(a257)
        & ~ c3_1(a257) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a259)
        & ~ c0_1(a259)
        & ~ c2_1(a259) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a189)
        & c1_1(a189)
        & c3_1(a189) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a215)
        & c2_1(a215)
        & c3_1(a215) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a230)
        & c1_1(a230)
        & c2_1(a230) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | ~ c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | c2_1(X2)
            | c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | ~ c0_1(X4)
            | ~ c3_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c3_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c2_1(X6)
            | ~ c1_1(X6) ) )
      | hskp23 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | hskp1 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | ~ c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | ~ c1_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c1_1(X10)
            | c2_1(X10)
            | ~ c3_1(X10) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | ~ c1_1(X12)
            | ~ c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | c2_1(X13)
            | ~ c0_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | ~ c0_1(X15)
            | ~ c1_1(X15) ) )
      | hskp2 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c3_1(X16) ) )
      | hskp3
      | hskp4 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c2_1(X17)
            | c3_1(X17) ) )
      | hskp5
      | hskp6 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c2_1(X18)
            | c3_1(X18) ) )
      | hskp6 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | ~ c1_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c2_1(X20)
            | ~ c3_1(X20) ) )
      | hskp7 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c2_1(X21)
            | ~ c1_1(X21) ) )
      | hskp8
      | hskp9 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c2_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | ~ c1_1(X23)
            | ~ c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c1_1(X24)
            | ~ c0_1(X24)
            | ~ c3_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | ~ c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c1_1(X26)
            | c3_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | ~ c0_1(X27)
            | ~ c2_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | c3_1(X29)
            | ~ c0_1(X29) ) )
      | hskp10 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c3_1(X30)
            | ~ c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c3_1(X31)
            | ~ c2_1(X31) ) )
      | hskp5 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c3_1(X32)
            | ~ c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | c3_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | ~ c1_1(X34)
            | ~ c2_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c3_1(X35)
            | ~ c2_1(X35) ) )
      | hskp11
      | hskp9 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | ~ c1_1(X36)
            | ~ c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | c2_1(X37)
            | ~ c0_1(X37) ) )
      | hskp2 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | ~ c1_1(X38)
            | ~ c2_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c2_1(X39)
            | ~ c1_1(X39)
            | ~ c3_1(X39) ) )
      | hskp0 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | ~ c1_1(X40)
            | ~ c2_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | ~ c0_1(X41)
            | ~ c1_1(X41) ) )
      | hskp12 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c1_1(X42)
            | ~ c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | ~ c2_1(X43)
            | ~ c3_1(X43) ) )
      | hskp6 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | ~ c1_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | c2_1(X45)
            | c3_1(X45) ) )
      | hskp10 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | ~ c2_1(X46)
            | ~ c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | c2_1(X47)
            | c3_1(X47) ) )
      | hskp13 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | ~ c2_1(X48)
            | ~ c3_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | ~ c2_1(X49)
            | ~ c3_1(X49) ) )
      | hskp14 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c2_1(X50)
            | ~ c3_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) )
      | hskp7 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c2_1(X52)
            | ~ c3_1(X52) ) )
      | hskp8
      | hskp4 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | c2_1(X53)
            | c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c3_1(X54)
            | ~ c1_1(X54) ) )
      | hskp15 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c2_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | ~ c0_1(X56)
            | ~ c3_1(X56) ) )
      | hskp24 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c2_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | c3_1(X58)
            | ~ c0_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | ~ c1_1(X59)
            | ~ c2_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c2_1(X60)
            | ~ c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | ~ c0_1(X61)
            | ~ c2_1(X61) ) )
      | hskp1 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c2_1(X62)
            | ~ c0_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | ~ c1_1(X63)
            | ~ c3_1(X63) ) )
      | hskp9 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c2_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | c3_1(X65)
            | ~ c0_1(X65) ) )
      | hskp1 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c2_1(X66)
            | ~ c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | ~ c0_1(X67)
            | ~ c1_1(X67) ) )
      | hskp13 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c3_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | ~ c1_1(X69)
            | ~ c3_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | ~ c2_1(X70)
            | ~ c3_1(X70) ) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c3_1(X71)
            | ~ c0_1(X71) ) )
      | hskp23
      | hskp16 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c3_1(X72)
            | ~ c0_1(X72) ) )
      | hskp17
      | hskp18 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c3_1(X73)
            | ~ c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c0_1(X74)
            | ~ c1_1(X74) ) )
      | hskp24 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c3_1(X75)
            | ~ c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | ~ c0_1(X76)
            | ~ c2_1(X76) ) )
      | hskp19 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | ~ c0_1(X77)
            | ~ c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | c3_1(X78)
            | ~ c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | ~ c1_1(X79)
            | ~ c2_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | ~ c2_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c0_1(X81)
            | ~ c3_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | ~ c0_1(X82)
            | ~ c1_1(X82) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | c3_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | ~ c1_1(X84)
            | ~ c2_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | ~ c1_1(X85)
            | ~ c3_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c3_1(X86)
            | ~ c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) )
      | hskp13 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | c3_1(X88)
            | ~ c1_1(X88) ) )
      | hskp3
      | hskp12 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | ~ c0_1(X89)
            | ~ c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | ~ c1_1(X90)
            | ~ c2_1(X90) ) )
      | hskp12 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | ~ c0_1(X91)
            | ~ c1_1(X91) ) )
      | hskp25
      | hskp16 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | ~ c0_1(X92)
            | ~ c3_1(X92) ) )
      | hskp4
      | hskp20 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | ~ c0_1(X93)
            | ~ c1_1(X93) ) )
      | hskp7
      | hskp4 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | ~ c0_1(X94)
            | ~ c1_1(X94) ) )
      | hskp7
      | hskp9 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c3_1(X95)
            | ~ c0_1(X95)
            | ~ c2_1(X95) ) )
      | hskp10
      | hskp24 )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | ~ c1_1(X96)
            | ~ c3_1(X96) ) )
      | hskp1
      | hskp2 )
    & ( ! [X97] :
          ( ndr1_0
         => ( ~ c0_1(X97)
            | ~ c2_1(X97)
            | ~ c3_1(X97) ) )
      | hskp23
      | hskp5 )
    & ( ! [X98] :
          ( ndr1_0
         => ( ~ c0_1(X98)
            | ~ c2_1(X98)
            | ~ c3_1(X98) ) )
      | hskp16
      | hskp12 )
    & ( hskp25
      | hskp15
      | hskp2 )
    & ( hskp23
      | hskp9
      | hskp2 )
    & ( hskp1
      | hskp9
      | hskp0 )
    & ( hskp5
      | hskp15
      | hskp21 )
    & ( hskp24
      | hskp22
      | hskp2 )
    & ( hskp7
      | hskp14
      | hskp9 )
    & ( hskp14
      | hskp15
      | hskp12 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a188)
        & ~ c1_1(a188)
        & ~ c3_1(a188) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a190)
        & c2_1(a190)
        & ~ c3_1(a190) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a191)
        & ~ c2_1(a191)
        & ~ c3_1(a191) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a192)
        & c1_1(a192)
        & ~ c3_1(a192) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a193)
        & ~ c0_1(a193)
        & ~ c3_1(a193) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a194)
        & ~ c1_1(a194)
        & ~ c2_1(a194) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a195)
        & ~ c1_1(a195)
        & ~ c3_1(a195) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a197)
        & ~ c0_1(a197)
        & ~ c2_1(a197) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a198)
        & c3_1(a198)
        & ~ c2_1(a198) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a199)
        & ~ c0_1(a199)
        & ~ c1_1(a199) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a200)
        & c3_1(a200)
        & ~ c1_1(a200) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a202)
        & ~ c2_1(a202)
        & ~ c3_1(a202) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a206)
        & ~ c2_1(a206)
        & ~ c3_1(a206) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a209)
        & c3_1(a209)
        & ~ c0_1(a209) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a210)
        & c3_1(a210)
        & ~ c1_1(a210) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a214)
        & ~ c0_1(a214)
        & ~ c3_1(a214) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a221)
        & ~ c1_1(a221)
        & ~ c2_1(a221) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a222)
        & c2_1(a222)
        & ~ c3_1(a222) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a223)
        & ~ c1_1(a223)
        & ~ c2_1(a223) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a225)
        & ~ c0_1(a225)
        & ~ c1_1(a225) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a233)
        & c3_1(a233)
        & ~ c0_1(a233) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a257)
        & ~ c1_1(a257)
        & ~ c3_1(a257) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a259)
        & ~ c0_1(a259)
        & ~ c2_1(a259) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a189)
        & c1_1(a189)
        & c3_1(a189) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a215)
        & c2_1(a215)
        & c3_1(a215) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a230)
        & c1_1(a230)
        & c2_1(a230) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | c2_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | ~ c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | c2_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c3_1(X15)
          | ~ c0_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c2_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | ~ c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | ~ c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | c3_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | c3_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c0_1(X31)
          | c3_1(X31)
          | ~ c2_1(X31)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | c3_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | hskp11
      | hskp9 )
    & ( ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X38] :
          ( c0_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c2_1(X39)
          | ~ c1_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X40] :
          ( c0_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X44] :
          ( c0_1(X44)
          | ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | c2_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X46] :
          ( c0_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | ~ c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp8
      | hskp4 )
    & ( ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | ~ c0_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | c3_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp23
      | hskp16 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | ~ c0_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c2_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( c1_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c2_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | hskp3
      | hskp12 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X91] :
          ( c2_1(X91)
          | ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp25
      | hskp16 )
    & ( ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp4
      | hskp20 )
    & ( ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp7
      | hskp4 )
    & ( ! [X94] :
          ( c3_1(X94)
          | ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp7
      | hskp9 )
    & ( ! [X95] :
          ( c3_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp10
      | hskp24 )
    & ( ! [X96] :
          ( ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X97] :
          ( ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp23
      | hskp5 )
    & ( ! [X98] :
          ( ~ c0_1(X98)
          | ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp16
      | hskp12 )
    & ( hskp25
      | hskp15
      | hskp2 )
    & ( hskp23
      | hskp9
      | hskp2 )
    & ( hskp1
      | hskp9
      | hskp0 )
    & ( hskp5
      | hskp15
      | hskp21 )
    & ( hskp24
      | hskp22
      | hskp2 )
    & ( hskp7
      | hskp14
      | hskp9 )
    & ( hskp14
      | hskp15
      | hskp12 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a188)
        & ~ c1_1(a188)
        & ~ c3_1(a188) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a190)
        & c2_1(a190)
        & ~ c3_1(a190) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c1_1(a191)
        & ~ c2_1(a191)
        & ~ c3_1(a191) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a192)
        & c1_1(a192)
        & ~ c3_1(a192) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a193)
        & ~ c0_1(a193)
        & ~ c3_1(a193) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a194)
        & ~ c1_1(a194)
        & ~ c2_1(a194) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a195)
        & ~ c1_1(a195)
        & ~ c3_1(a195) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a197)
        & ~ c0_1(a197)
        & ~ c2_1(a197) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a198)
        & c3_1(a198)
        & ~ c2_1(a198) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a199)
        & ~ c0_1(a199)
        & ~ c1_1(a199) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a200)
        & c3_1(a200)
        & ~ c1_1(a200) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a202)
        & ~ c2_1(a202)
        & ~ c3_1(a202) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a206)
        & ~ c2_1(a206)
        & ~ c3_1(a206) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a209)
        & c3_1(a209)
        & ~ c0_1(a209) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a210)
        & c3_1(a210)
        & ~ c1_1(a210) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a214)
        & ~ c0_1(a214)
        & ~ c3_1(a214) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a221)
        & ~ c1_1(a221)
        & ~ c2_1(a221) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a222)
        & c2_1(a222)
        & ~ c3_1(a222) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c3_1(a223)
        & ~ c1_1(a223)
        & ~ c2_1(a223) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c3_1(a225)
        & ~ c0_1(a225)
        & ~ c1_1(a225) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a233)
        & c3_1(a233)
        & ~ c0_1(a233) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a257)
        & ~ c1_1(a257)
        & ~ c3_1(a257) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a259)
        & ~ c0_1(a259)
        & ~ c2_1(a259) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a189)
        & c1_1(a189)
        & c3_1(a189) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a215)
        & c2_1(a215)
        & c3_1(a215) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a230)
        & c1_1(a230)
        & c2_1(a230) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | c2_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | ~ c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | c2_1(X6)
          | ~ c1_1(X6)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | c2_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c3_1(X15)
          | ~ c0_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c2_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c0_1(X23)
          | ~ c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | ~ c0_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c1_1(X26)
          | c3_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | c3_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c0_1(X31)
          | c3_1(X31)
          | ~ c2_1(X31)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | c3_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | hskp11
      | hskp9 )
    & ( ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | c2_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X38] :
          ( c0_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c2_1(X39)
          | ~ c1_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X40] :
          ( c0_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c3_1(X41)
          | ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X44] :
          ( c0_1(X44)
          | ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | c2_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X46] :
          ( c0_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c1_1(X49)
          | ~ c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp8
      | hskp4 )
    & ( ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | ~ c0_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | c3_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | ~ c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp23
      | hskp16 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c3_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c2_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | ~ c0_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c2_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( c1_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c2_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | hskp3
      | hskp12 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X91] :
          ( c2_1(X91)
          | ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 )
      | hskp25
      | hskp16 )
    & ( ! [X92] :
          ( c2_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp4
      | hskp20 )
    & ( ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | hskp7
      | hskp4 )
    & ( ! [X94] :
          ( c3_1(X94)
          | ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp7
      | hskp9 )
    & ( ! [X95] :
          ( c3_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp10
      | hskp24 )
    & ( ! [X96] :
          ( ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X97] :
          ( ~ c0_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp23
      | hskp5 )
    & ( ! [X98] :
          ( ~ c0_1(X98)
          | ~ c2_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | hskp16
      | hskp12 )
    & ( hskp25
      | hskp15
      | hskp2 )
    & ( hskp23
      | hskp9
      | hskp2 )
    & ( hskp1
      | hskp9
      | hskp0 )
    & ( hskp5
      | hskp15
      | hskp21 )
    & ( hskp24
      | hskp22
      | hskp2 )
    & ( hskp7
      | hskp14
      | hskp9 )
    & ( hskp14
      | hskp15
      | hskp12 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp14
    | hskp15
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp5
    | hskp15
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp1
    | hskp9
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp23
    | hskp9
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X97] :
      ( ~ c0_1(X97)
      | ~ c2_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | hskp23
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X96] :
      ( ~ c0_1(X96)
      | ~ c1_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | hskp1
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X95] :
      ( c3_1(X95)
      | ~ c0_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | hskp10
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X94] :
      ( c3_1(X94)
      | ~ c0_1(X94)
      | ~ c1_1(X94)
      | ~ ndr1_0
      | hskp7
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X90,X89] :
      ( c2_1(X89)
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | ~ c1_1(X90)
      | ~ c2_1(X90)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X88] :
      ( c2_1(X88)
      | c3_1(X88)
      | ~ c1_1(X88)
      | ~ ndr1_0
      | hskp3
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X82,X80,X81] :
      ( c1_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | ~ c0_1(X82)
      | ~ c1_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X76,X75] :
      ( c1_1(X75)
      | c3_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | c3_1(X76)
      | ~ c0_1(X76)
      | ~ c2_1(X76)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | c3_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X71] :
      ( c1_1(X71)
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | hskp23
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X70,X68,X69] :
      ( c1_1(X68)
      | c3_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | ~ c0_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X62,X63] :
      ( c1_1(X62)
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X58,X59,X57] :
      ( c1_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | c2_1(X58)
      | c3_1(X58)
      | ~ c0_1(X58)
      | ~ ndr1_0
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | ~ c2_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X56,X55] :
      ( c1_1(X55)
      | c2_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | c1_1(X56)
      | ~ c0_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X54,X53] :
      ( c1_1(X53)
      | c2_1(X53)
      | c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c3_1(X54)
      | ~ c1_1(X54)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | ~ c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | c1_1(X47)
      | c2_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | ~ c1_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | c2_1(X45)
      | c3_1(X45)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X40,X41] :
      ( c0_1(X40)
      | ~ c1_1(X40)
      | ~ c2_1(X40)
      | ~ ndr1_0
      | c3_1(X41)
      | ~ c0_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | ~ c1_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0
      | c2_1(X39)
      | ~ c1_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | ~ c1_1(X36)
      | ~ c2_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | c2_1(X37)
      | ~ c0_1(X37)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X34,X32,X33] :
      ( c0_1(X32)
      | c3_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | c3_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | ~ c1_1(X34)
      | ~ c2_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | c3_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | c0_1(X31)
      | c3_1(X31)
      | ~ c2_1(X31)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | c3_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | c3_1(X27)
      | ~ c0_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X21] :
      ( c0_1(X21)
      | c2_1(X21)
      | ~ c1_1(X21)
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X18] :
      ( c0_1(X18)
      | c2_1(X18)
      | c3_1(X18)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X16] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | hskp3
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | c3_1(X15)
      | ~ c0_1(X15)
      | ~ c1_1(X15)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | c1_1(X13)
      | c2_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | c0_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c1_1(X10)
      | c2_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp24
    | c3_1(a215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp24
    | c2_1(a215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp24
    | c1_1(a215) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp23
    | c3_1(a189) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp23
    | c1_1(a189) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp23
    | c0_1(a189) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp21
    | ~ c3_1(a257) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp21
    | ~ c1_1(a257) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp21
    | c2_1(a257) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp19
    | ~ c1_1(a225) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp19
    | ~ c0_1(a225) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp19
    | c3_1(a225) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp16
    | ~ c2_1(a221) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp16
    | ~ c1_1(a221) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp15
    | ~ c3_1(a214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp15
    | ~ c0_1(a214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp15
    | c2_1(a214) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ~ hskp15
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f113,plain,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp13
    | ~ c0_1(a209) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp13
    | c3_1(a209) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp13
    | c1_1(a209) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp12
    | ~ c3_1(a206) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp12
    | ~ c2_1(a206) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp12
    | ~ c0_1(a206) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp10
    | ~ c1_1(a200) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp10
    | c3_1(a200) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp10
    | c0_1(a200) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp9
    | ~ c1_1(a199) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp9
    | ~ c0_1(a199) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp9
    | c2_1(a199) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp8
    | ~ c2_1(a198) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp8
    | c3_1(a198) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp8
    | c1_1(a198) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp7
    | ~ c2_1(a197) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp7
    | ~ c0_1(a197) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp7
    | c1_1(a197) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp6
    | ~ c3_1(a195) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp6
    | ~ c1_1(a195) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp6
    | c0_1(a195) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp5
    | ~ c2_1(a194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp5
    | ~ c1_1(a194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp5
    | c0_1(a194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp4
    | ~ c3_1(a193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp4
    | ~ c0_1(a193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp4
    | c1_1(a193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp3
    | ~ c3_1(a192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp3
    | c1_1(a192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp3
    | c0_1(a192) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp2
    | ~ c3_1(a191) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp2
    | ~ c2_1(a191) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp2
    | ~ c1_1(a191) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp1
    | ~ c3_1(a190) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp1
    | c2_1(a190) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp1
    | c0_1(a190) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp0
    | ~ c3_1(a188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp0
    | ~ c1_1(a188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp0
    | ~ c0_1(a188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ! [X90,X89] :
      ( c2_1(X89)
      | ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | ~ c1_1(X90)
      | ~ c2_1(X90)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f173,plain,
    ! [X82,X80,X81] :
      ( c1_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ c3_1(X81)
      | c3_1(X82)
      | ~ c0_1(X82)
      | ~ c1_1(X82) ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f175,plain,
    ! [X76,X75] :
      ( c1_1(X75)
      | c3_1(X75)
      | ~ c2_1(X75)
      | ~ ndr1_0
      | c3_1(X76)
      | ~ c0_1(X76)
      | ~ c2_1(X76)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f176,plain,
    ! [X73,X74] :
      ( c1_1(X73)
      | c3_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ c1_1(X74)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f177,plain,
    ! [X70,X68,X69] :
      ( c1_1(X68)
      | c3_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ c3_1(X69)
      | ~ c0_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f180,plain,
    ! [X62,X63] :
      ( c1_1(X62)
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ ndr1_0
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ c3_1(X63)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f182,plain,
    ! [X58,X59,X57] :
      ( c1_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | c2_1(X58)
      | c3_1(X58)
      | ~ c0_1(X58)
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | ~ c2_1(X59) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f183,plain,
    ! [X56,X55] :
      ( c1_1(X55)
      | c2_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | c1_1(X56)
      | ~ c0_1(X56)
      | ~ c3_1(X56)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f184,plain,
    ! [X54,X53] :
      ( c1_1(X53)
      | c2_1(X53)
      | c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c3_1(X54)
      | ~ c1_1(X54)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f185,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | ~ c0_1(X51)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f187,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | ~ c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | c1_1(X47)
      | c2_1(X47)
      | c3_1(X47)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f188,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | ~ c1_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | c2_1(X45)
      | c3_1(X45)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f190,plain,
    ! [X40,X41] :
      ( c0_1(X40)
      | ~ c1_1(X40)
      | ~ c2_1(X40)
      | ~ ndr1_0
      | c3_1(X41)
      | ~ c0_1(X41)
      | ~ c1_1(X41)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f191,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | ~ c1_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0
      | c2_1(X39)
      | ~ c1_1(X39)
      | ~ c3_1(X39)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f192,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | ~ c1_1(X36)
      | ~ c2_1(X36)
      | ~ ndr1_0
      | c1_1(X37)
      | c2_1(X37)
      | ~ c0_1(X37)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f193,plain,
    ! [X34,X32,X33] :
      ( c0_1(X32)
      | c3_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | c3_1(X33)
      | ~ c0_1(X33)
      | ~ c0_1(X34)
      | ~ c1_1(X34)
      | ~ c2_1(X34) ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f194,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | c3_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | c0_1(X31)
      | c3_1(X31)
      | ~ c2_1(X31)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f196,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | c1_1(X26)
      | c3_1(X26)
      | ~ c2_1(X26)
      | c3_1(X27)
      | ~ c0_1(X27)
      | ~ c2_1(X27) ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f199,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | c3_1(X15)
      | ~ c0_1(X15)
      | ~ c1_1(X15)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f200,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12)
      | c1_1(X13)
      | c2_1(X13)
      | ~ c0_1(X13) ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f201,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ ndr1_0
      | c0_1(X9)
      | ~ c1_1(X9)
      | ~ c2_1(X9)
      | c1_1(X10)
      | c2_1(X10)
      | ~ c3_1(X10) ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f206,definition,
    ( spl0_1
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f209,definition,
    ( spl0_2
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f212,definition,
    ( spl0_3
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f214,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f212,f209,f206]) ).

fof(f216,definition,
    ( spl0_4
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f219,definition,
    ( spl0_5
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f223,definition,
    ( spl0_6
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f229,definition,
    ( spl0_8
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f233,definition,
    ( spl0_9
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f236,definition,
    ( spl0_10
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f238,plain,
    ( spl0_9
    | spl0_2
    | spl0_10 ),
    inference(avatar_split_clause,[],[f9,f236,f209,f233]) ).

fof(f240,definition,
    ( spl0_11
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f243,definition,
    ( spl0_12
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f245,plain,
    ( spl0_11
    | spl0_4
    | spl0_12 ),
    inference(avatar_split_clause,[],[f10,f243,f216,f240]) ).

fof(f247,definition,
    ( spl0_13
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f249,plain,
    ( spl0_6
    | spl0_4
    | spl0_13 ),
    inference(avatar_split_clause,[],[f11,f247,f216,f223]) ).

fof(f255,definition,
    ( spl0_15
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f258,definition,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f261,definition,
    ( spl0_17
  <=> ! [X98] :
        ( ~ c0_1(X98)
        | ~ c3_1(X98)
        | ~ c2_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f262,plain,
    ( ! [X98] :
        ( ~ c3_1(X98)
        | ~ c0_1(X98)
        | ~ c2_1(X98) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f264,plain,
    ( spl0_10
    | spl0_13
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f14,f261,f258,f247,f236]) ).

fof(f266,definition,
    ( spl0_18
  <=> ! [X96] :
        ( ~ c0_1(X96)
        | ~ c3_1(X96)
        | ~ c1_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f267,plain,
    ( ! [X96] :
        ( ~ c1_1(X96)
        | ~ c3_1(X96)
        | ~ c0_1(X96) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f268,plain,
    ( spl0_6
    | spl0_12
    | ~ spl0_16
    | spl0_18 ),
    inference(avatar_split_clause,[],[f15,f266,f258,f243,f223]) ).

fof(f270,definition,
    ( spl0_19
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f273,definition,
    ( spl0_20
  <=> ! [X95] :
        ( c3_1(X95)
        | ~ c2_1(X95)
        | ~ c0_1(X95) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f274,plain,
    ( ! [X95] :
        ( c3_1(X95)
        | ~ c2_1(X95)
        | ~ c0_1(X95) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f275,plain,
    ( spl0_8
    | spl0_19
    | ~ spl0_16
    | spl0_20 ),
    inference(avatar_split_clause,[],[f16,f273,f258,f270,f229]) ).

fof(f277,definition,
    ( spl0_21
  <=> ! [X94] :
        ( c3_1(X94)
        | ~ c1_1(X94)
        | ~ c0_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f278,plain,
    ( ! [X94] :
        ( ~ c1_1(X94)
        | c3_1(X94)
        | ~ c0_1(X94) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f279,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_16
    | spl0_21 ),
    inference(avatar_split_clause,[],[f17,f277,f258,f219,f216]) ).

fof(f281,definition,
    ( spl0_22
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f288,definition,
    ( spl0_24
  <=> ! [X92] :
        ( c2_1(X92)
        | ~ c3_1(X92)
        | ~ c0_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f289,plain,
    ( ! [X92] :
        ( ~ c3_1(X92)
        | c2_1(X92)
        | ~ c0_1(X92) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f292,definition,
    ( spl0_25
  <=> ! [X91] :
        ( c2_1(X91)
        | ~ c1_1(X91)
        | ~ c0_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f293,plain,
    ( ! [X91] :
        ( ~ c1_1(X91)
        | c2_1(X91)
        | ~ c0_1(X91) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f296,definition,
    ( spl0_26
  <=> ! [X90] :
        ( c3_1(X90)
        | ~ c2_1(X90)
        | ~ c1_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f297,plain,
    ( ! [X90] :
        ( ~ c1_1(X90)
        | ~ c2_1(X90)
        | c3_1(X90) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f298,plain,
    ( spl0_1
    | spl0_26
    | ~ spl0_16
    | spl0_25 ),
    inference(avatar_split_clause,[],[f170,f292,f258,f296,f206]) ).

fof(f300,definition,
    ( spl0_27
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f303,definition,
    ( spl0_28
  <=> ! [X88] :
        ( c2_1(X88)
        | ~ c1_1(X88)
        | c3_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f304,plain,
    ( ! [X88] :
        ( ~ c1_1(X88)
        | c2_1(X88)
        | c3_1(X88) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f305,plain,
    ( spl0_1
    | spl0_27
    | ~ spl0_16
    | spl0_28 ),
    inference(avatar_split_clause,[],[f22,f303,f258,f300,f206]) ).

fof(f307,definition,
    ( spl0_29
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f313,definition,
    ( spl0_31
  <=> ! [X86] :
        ( c2_1(X86)
        | ~ c0_1(X86)
        | c3_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f314,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | ~ c0_1(X86)
        | c2_1(X86) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f318,definition,
    ( spl0_32
  <=> ! [X80] :
        ( c1_1(X80)
        | ~ c3_1(X80)
        | ~ c2_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f319,plain,
    ( ! [X80] :
        ( c1_1(X80)
        | ~ c3_1(X80)
        | ~ c2_1(X80) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f320,plain,
    ( spl0_21
    | spl0_24
    | ~ spl0_16
    | spl0_32 ),
    inference(avatar_split_clause,[],[f173,f318,f258,f288,f277]) ).

fof(f322,definition,
    ( spl0_33
  <=> ! [X79] :
        ( ~ c0_1(X79)
        | ~ c2_1(X79)
        | ~ c1_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f323,plain,
    ( ! [X79] :
        ( ~ c1_1(X79)
        | ~ c2_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f329,definition,
    ( spl0_35
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f332,definition,
    ( spl0_36
  <=> ! [X75] :
        ( c1_1(X75)
        | ~ c2_1(X75)
        | c3_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f333,plain,
    ( ! [X75] :
        ( c1_1(X75)
        | ~ c2_1(X75)
        | c3_1(X75) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f334,plain,
    ( spl0_35
    | spl0_20
    | ~ spl0_16
    | spl0_36 ),
    inference(avatar_split_clause,[],[f175,f332,f258,f273,f329]) ).

fof(f335,plain,
    ( spl0_8
    | spl0_25
    | ~ spl0_16
    | spl0_36 ),
    inference(avatar_split_clause,[],[f176,f332,f258,f292,f229]) ).

fof(f343,definition,
    ( spl0_39
  <=> ! [X72] :
        ( c1_1(X72)
        | ~ c0_1(X72)
        | c3_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X72] :
        ( c1_1(X72)
        | ~ c0_1(X72)
        | c3_1(X72) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f346,plain,
    ( spl0_15
    | spl0_13
    | ~ spl0_16
    | spl0_39 ),
    inference(avatar_split_clause,[],[f30,f343,f258,f247,f255]) ).

fof(f347,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_16
    | spl0_39 ),
    inference(avatar_split_clause,[],[f177,f343,f258,f266,f261]) ).

fof(f349,definition,
    ( spl0_40
  <=> ! [X66] :
        ( c1_1(X66)
        | ~ c3_1(X66)
        | c2_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f350,plain,
    ( ! [X66] :
        ( c1_1(X66)
        | ~ c3_1(X66)
        | c2_1(X66) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f354,definition,
    ( spl0_41
  <=> ! [X62] :
        ( c1_1(X62)
        | ~ c0_1(X62)
        | c2_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f355,plain,
    ( ! [X62] :
        ( c1_1(X62)
        | ~ c0_1(X62)
        | c2_1(X62) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f356,plain,
    ( spl0_4
    | spl0_18
    | ~ spl0_16
    | spl0_41 ),
    inference(avatar_split_clause,[],[f180,f354,f258,f266,f216]) ).

fof(f358,plain,
    ( spl0_33
    | spl0_31
    | ~ spl0_16
    | spl0_41 ),
    inference(avatar_split_clause,[],[f182,f354,f258,f313,f322]) ).

fof(f360,definition,
    ( spl0_42
  <=> ! [X56] :
        ( c1_1(X56)
        | ~ c3_1(X56)
        | ~ c0_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f361,plain,
    ( ! [X56] :
        ( c1_1(X56)
        | ~ c3_1(X56)
        | ~ c0_1(X56) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f362,plain,
    ( spl0_8
    | spl0_42
    | ~ spl0_16
    | spl0_41 ),
    inference(avatar_split_clause,[],[f183,f354,f258,f360,f229]) ).

fof(f364,definition,
    ( spl0_43
  <=> ! [X53] :
        ( c1_1(X53)
        | c3_1(X53)
        | c2_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f365,plain,
    ( ! [X53] :
        ( c1_1(X53)
        | c3_1(X53)
        | c2_1(X53) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f366,plain,
    ( spl0_2
    | spl0_28
    | ~ spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f184,f364,f258,f303,f209]) ).

fof(f368,definition,
    ( spl0_44
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f371,definition,
    ( spl0_45
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c3_1(X52)
        | ~ c2_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f372,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | c0_1(X52)
        | ~ c2_1(X52) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f374,plain,
    ( spl0_5
    | spl0_33
    | ~ spl0_16
    | spl0_45 ),
    inference(avatar_split_clause,[],[f185,f371,f258,f322,f219]) ).

fof(f376,plain,
    ( spl0_29
    | spl0_43
    | ~ spl0_16
    | spl0_45 ),
    inference(avatar_split_clause,[],[f187,f371,f258,f364,f307]) ).

fof(f378,definition,
    ( spl0_46
  <=> ! [X44] :
        ( c0_1(X44)
        | ~ c3_1(X44)
        | ~ c1_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X44] :
        ( ~ c1_1(X44)
        | ~ c3_1(X44)
        | c0_1(X44) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f380,plain,
    ( spl0_19
    | spl0_43
    | ~ spl0_16
    | spl0_46 ),
    inference(avatar_split_clause,[],[f188,f378,f258,f364,f270]) ).

fof(f382,definition,
    ( spl0_47
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f385,definition,
    ( spl0_48
  <=> ! [X42] :
        ( c0_1(X42)
        | ~ c2_1(X42)
        | ~ c1_1(X42) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f386,plain,
    ( ! [X42] :
        ( ~ c1_1(X42)
        | ~ c2_1(X42)
        | c0_1(X42) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f388,plain,
    ( spl0_1
    | spl0_21
    | ~ spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f190,f385,f258,f277,f206]) ).

fof(f390,definition,
    ( spl0_49
  <=> ! [X39] :
        ( c2_1(X39)
        | ~ c3_1(X39)
        | ~ c1_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f391,plain,
    ( ! [X39] :
        ( ~ c1_1(X39)
        | ~ c3_1(X39)
        | c2_1(X39) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f392,plain,
    ( spl0_11
    | spl0_49
    | ~ spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f191,f385,f258,f390,f240]) ).

fof(f393,plain,
    ( spl0_6
    | spl0_41
    | ~ spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f192,f385,f258,f354,f223]) ).

fof(f398,definition,
    ( spl0_51
  <=> ! [X35] :
        ( c0_1(X35)
        | ~ c2_1(X35)
        | c3_1(X35) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X35] :
        ( c3_1(X35)
        | ~ c2_1(X35)
        | c0_1(X35) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f401,plain,
    ( spl0_33
    | spl0_31
    | ~ spl0_16
    | spl0_51 ),
    inference(avatar_split_clause,[],[f193,f398,f258,f313,f322]) ).

fof(f403,definition,
    ( spl0_52
  <=> ! [X30] :
        ( c0_1(X30)
        | ~ c1_1(X30)
        | c3_1(X30) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f404,plain,
    ( ! [X30] :
        ( ~ c1_1(X30)
        | c0_1(X30)
        | c3_1(X30) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f405,plain,
    ( spl0_10
    | spl0_51
    | ~ spl0_16
    | spl0_52 ),
    inference(avatar_split_clause,[],[f194,f403,f258,f398,f236]) ).

fof(f407,definition,
    ( spl0_53
  <=> ! [X28] :
        ( c0_1(X28)
        | ~ c3_1(X28)
        | c2_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f408,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c0_1(X28)
        | c2_1(X28) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f410,plain,
    ( spl0_20
    | spl0_36
    | ~ spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f196,f407,f258,f332,f273]) ).

fof(f413,definition,
    ( spl0_54
  <=> ! [X21] :
        ( c0_1(X21)
        | ~ c1_1(X21)
        | c2_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X21] :
        ( ~ c1_1(X21)
        | c0_1(X21)
        | c2_1(X21) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f415,plain,
    ( spl0_4
    | spl0_44
    | ~ spl0_16
    | spl0_54 ),
    inference(avatar_split_clause,[],[f54,f413,f258,f368,f216]) ).

fof(f418,definition,
    ( spl0_55
  <=> ! [X18] :
        ( c0_1(X18)
        | c3_1(X18)
        | c2_1(X18) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f419,plain,
    ( ! [X18] :
        ( c3_1(X18)
        | c0_1(X18)
        | c2_1(X18) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f420,plain,
    ( spl0_47
    | ~ spl0_16
    | spl0_55 ),
    inference(avatar_split_clause,[],[f56,f418,f258,f382]) ).

fof(f423,definition,
    ( spl0_56
  <=> ! [X16] :
        ( c0_1(X16)
        | ~ c3_1(X16)
        | c1_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f424,plain,
    ( ! [X16] :
        ( c1_1(X16)
        | ~ c3_1(X16)
        | c0_1(X16) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f425,plain,
    ( spl0_22
    | spl0_27
    | ~ spl0_16
    | spl0_56 ),
    inference(avatar_split_clause,[],[f58,f423,f258,f300,f281]) ).

fof(f426,plain,
    ( spl0_6
    | spl0_21
    | ~ spl0_16
    | spl0_56 ),
    inference(avatar_split_clause,[],[f199,f423,f258,f277,f223]) ).

fof(f428,definition,
    ( spl0_57
  <=> ! [X11] :
        ( c0_1(X11)
        | ~ c2_1(X11)
        | c1_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X11] :
        ( c1_1(X11)
        | ~ c2_1(X11)
        | c0_1(X11) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f430,plain,
    ( spl0_41
    | spl0_46
    | ~ spl0_16
    | spl0_57 ),
    inference(avatar_split_clause,[],[f200,f428,f258,f378,f354]) ).

fof(f431,plain,
    ( spl0_40
    | spl0_48
    | ~ spl0_16
    | spl0_57 ),
    inference(avatar_split_clause,[],[f201,f428,f258,f385,f349]) ).

fof(f433,definition,
    ( spl0_58
  <=> ! [X7] :
        ( c0_1(X7)
        | c3_1(X7)
        | c1_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f434,plain,
    ( ! [X7] :
        ( c1_1(X7)
        | c3_1(X7)
        | c0_1(X7) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f435,plain,
    ( spl0_12
    | ~ spl0_16
    | spl0_58 ),
    inference(avatar_split_clause,[],[f62,f433,f258,f243]) ).

fof(f458,definition,
    ( spl0_63
  <=> c3_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f459,plain,
    ( c3_1(a215)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f461,plain,
    ( spl0_63
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f70,f229,f458]) ).

fof(f463,definition,
    ( spl0_64
  <=> c2_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f465,plain,
    ( spl0_64
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f71,f229,f463]) ).

fof(f467,definition,
    ( spl0_65
  <=> c1_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f468,plain,
    ( c1_1(a215)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f469,plain,
    ( spl0_65
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f72,f229,f467]) ).

fof(f472,definition,
    ( spl0_66
  <=> c3_1(a189) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f473,plain,
    ( c3_1(a189)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f475,plain,
    ( spl0_66
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f74,f247,f472]) ).

fof(f477,definition,
    ( spl0_67
  <=> c1_1(a189) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f478,plain,
    ( c1_1(a189)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f479,plain,
    ( spl0_67
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f75,f247,f477]) ).

fof(f481,definition,
    ( spl0_68
  <=> c0_1(a189) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f483,plain,
    ( spl0_68
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f76,f247,f481]) ).

fof(f500,definition,
    ( spl0_72
  <=> c3_1(a257) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f501,plain,
    ( ~ c3_1(a257)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f503,plain,
    ( ~ spl0_72
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f82,f233,f500]) ).

fof(f505,definition,
    ( spl0_73
  <=> c1_1(a257) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f506,plain,
    ( ~ c1_1(a257)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f507,plain,
    ( ~ spl0_73
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f83,f233,f505]) ).

fof(f509,definition,
    ( spl0_74
  <=> c2_1(a257) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f511,plain,
    ( spl0_74
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f84,f233,f509]) ).

fof(f528,definition,
    ( spl0_78
  <=> c1_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f529,plain,
    ( ~ c1_1(a225)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f531,plain,
    ( ~ spl0_78
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f90,f329,f528]) ).

fof(f533,definition,
    ( spl0_79
  <=> c0_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ spl0_79
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f91,f329,f533]) ).

fof(f537,definition,
    ( spl0_80
  <=> c3_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f538,plain,
    ( c3_1(a225)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f539,plain,
    ( spl0_80
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f92,f329,f537]) ).

fof(f570,definition,
    ( spl0_87
  <=> c2_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f573,plain,
    ( ~ spl0_87
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f102,f255,f570]) ).

fof(f575,definition,
    ( spl0_88
  <=> c1_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f576,plain,
    ( ~ c1_1(a221)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f577,plain,
    ( ~ spl0_88
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f103,f255,f575]) ).

fof(f584,definition,
    ( spl0_90
  <=> c3_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ c3_1(a214)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f587,plain,
    ( ~ spl0_90
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f106,f209,f584]) ).

fof(f589,definition,
    ( spl0_91
  <=> c0_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f591,plain,
    ( ~ spl0_91
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f107,f209,f589]) ).

fof(f593,definition,
    ( spl0_92
  <=> c2_1(a214) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f595,plain,
    ( spl0_92
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f108,f209,f593]) ).

fof(f596,plain,
    ( spl0_16
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f109,f209,f258]) ).

fof(f610,plain,
    ( spl0_16
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f113,f212,f258]) ).

fof(f612,definition,
    ( spl0_96
  <=> c0_1(a209) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f615,plain,
    ( ~ spl0_96
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f114,f307,f612]) ).

fof(f617,definition,
    ( spl0_97
  <=> c3_1(a209) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f618,plain,
    ( c3_1(a209)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f619,plain,
    ( spl0_97
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f115,f307,f617]) ).

fof(f621,definition,
    ( spl0_98
  <=> c1_1(a209) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f622,plain,
    ( c1_1(a209)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f623,plain,
    ( spl0_98
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f116,f307,f621]) ).

fof(f626,definition,
    ( spl0_99
  <=> c3_1(a206) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ c3_1(a206)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f629,plain,
    ( ~ spl0_99
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f118,f206,f626]) ).

fof(f631,definition,
    ( spl0_100
  <=> c2_1(a206) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ spl0_100
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f119,f206,f631]) ).

fof(f635,definition,
    ( spl0_101
  <=> c0_1(a206) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f637,plain,
    ( ~ spl0_101
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f120,f206,f635]) ).

fof(f638,plain,
    ( spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f121,f206,f258]) ).

fof(f654,definition,
    ( spl0_105
  <=> c1_1(a200) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f655,plain,
    ( ~ c1_1(a200)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f657,plain,
    ( ~ spl0_105
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f126,f270,f654]) ).

fof(f659,definition,
    ( spl0_106
  <=> c3_1(a200) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f660,plain,
    ( c3_1(a200)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f661,plain,
    ( spl0_106
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f127,f270,f659]) ).

fof(f663,definition,
    ( spl0_107
  <=> c0_1(a200) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f665,plain,
    ( spl0_107
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f128,f270,f663]) ).

fof(f668,definition,
    ( spl0_108
  <=> c1_1(a199) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f669,plain,
    ( ~ c1_1(a199)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( ~ spl0_108
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f130,f216,f668]) ).

fof(f673,definition,
    ( spl0_109
  <=> c0_1(a199) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f675,plain,
    ( ~ spl0_109
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f131,f216,f673]) ).

fof(f677,definition,
    ( spl0_110
  <=> c2_1(a199) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f679,plain,
    ( spl0_110
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f132,f216,f677]) ).

fof(f682,definition,
    ( spl0_111
  <=> c2_1(a198) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f685,plain,
    ( ~ spl0_111
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f134,f368,f682]) ).

fof(f687,definition,
    ( spl0_112
  <=> c3_1(a198) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f688,plain,
    ( c3_1(a198)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f689,plain,
    ( spl0_112
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f135,f368,f687]) ).

fof(f691,definition,
    ( spl0_113
  <=> c1_1(a198) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f692,plain,
    ( c1_1(a198)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f693,plain,
    ( spl0_113
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f136,f368,f691]) ).

fof(f696,definition,
    ( spl0_114
  <=> c2_1(a197) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f699,plain,
    ( ~ spl0_114
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f138,f219,f696]) ).

fof(f701,definition,
    ( spl0_115
  <=> c0_1(a197) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f703,plain,
    ( ~ spl0_115
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f139,f219,f701]) ).

fof(f705,definition,
    ( spl0_116
  <=> c1_1(a197) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f706,plain,
    ( c1_1(a197)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f707,plain,
    ( spl0_116
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f140,f219,f705]) ).

fof(f710,definition,
    ( spl0_117
  <=> c3_1(a195) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f711,plain,
    ( ~ c3_1(a195)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f713,plain,
    ( ~ spl0_117
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f142,f382,f710]) ).

fof(f715,definition,
    ( spl0_118
  <=> c1_1(a195) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f716,plain,
    ( ~ c1_1(a195)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f717,plain,
    ( ~ spl0_118
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f143,f382,f715]) ).

fof(f719,definition,
    ( spl0_119
  <=> c0_1(a195) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f721,plain,
    ( spl0_119
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f144,f382,f719]) ).

fof(f724,definition,
    ( spl0_120
  <=> c2_1(a194) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f727,plain,
    ( ~ spl0_120
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f146,f236,f724]) ).

fof(f729,definition,
    ( spl0_121
  <=> c1_1(a194) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f730,plain,
    ( ~ c1_1(a194)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f731,plain,
    ( ~ spl0_121
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f147,f236,f729]) ).

fof(f733,definition,
    ( spl0_122
  <=> c0_1(a194) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f735,plain,
    ( spl0_122
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f148,f236,f733]) ).

fof(f738,definition,
    ( spl0_123
  <=> c3_1(a193) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f741,plain,
    ( ~ spl0_123
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f150,f281,f738]) ).

fof(f743,definition,
    ( spl0_124
  <=> c0_1(a193) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f745,plain,
    ( ~ spl0_124
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f151,f281,f743]) ).

fof(f747,definition,
    ( spl0_125
  <=> c1_1(a193) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f748,plain,
    ( c1_1(a193)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f749,plain,
    ( spl0_125
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f152,f281,f747]) ).

fof(f752,definition,
    ( spl0_126
  <=> c3_1(a192) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f753,plain,
    ( ~ c3_1(a192)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f755,plain,
    ( ~ spl0_126
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f154,f300,f752]) ).

fof(f757,definition,
    ( spl0_127
  <=> c1_1(a192) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f758,plain,
    ( c1_1(a192)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f759,plain,
    ( spl0_127
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f155,f300,f757]) ).

fof(f761,definition,
    ( spl0_128
  <=> c0_1(a192) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f763,plain,
    ( spl0_128
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f156,f300,f761]) ).

fof(f766,definition,
    ( spl0_129
  <=> c3_1(a191) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f767,plain,
    ( ~ c3_1(a191)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f769,plain,
    ( ~ spl0_129
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f158,f223,f766]) ).

fof(f771,definition,
    ( spl0_130
  <=> c2_1(a191) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f773,plain,
    ( ~ spl0_130
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f159,f223,f771]) ).

fof(f775,definition,
    ( spl0_131
  <=> c1_1(a191) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f776,plain,
    ( ~ c1_1(a191)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f777,plain,
    ( ~ spl0_131
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f160,f223,f775]) ).

fof(f780,definition,
    ( spl0_132
  <=> c3_1(a190) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f781,plain,
    ( ~ c3_1(a190)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f783,plain,
    ( ~ spl0_132
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f162,f243,f780]) ).

fof(f785,definition,
    ( spl0_133
  <=> c2_1(a190) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f787,plain,
    ( spl0_133
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f163,f243,f785]) ).

fof(f789,definition,
    ( spl0_134
  <=> c0_1(a190) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f791,plain,
    ( spl0_134
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f164,f243,f789]) ).

fof(f794,definition,
    ( spl0_135
  <=> c3_1(a188) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f795,plain,
    ( ~ c3_1(a188)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f797,plain,
    ( ~ spl0_135
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f166,f240,f794]) ).

fof(f799,definition,
    ( spl0_136
  <=> c1_1(a188) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f800,plain,
    ( ~ c1_1(a188)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f801,plain,
    ( ~ spl0_136
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f167,f240,f799]) ).

fof(f803,definition,
    ( spl0_137
  <=> c0_1(a188) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ spl0_137
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f168,f240,f803]) ).

fof(f819,definition,
    ( spl0_139
  <=> c0_1(a257) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f831,plain,
    ( ~ c0_1(a191)
    | c2_1(a191)
    | ~ spl0_31
    | spl0_129 ),
    inference(resolution,[],[f314,f767]) ).

fof(f837,definition,
    ( spl0_140
  <=> c0_1(a191) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f853,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_25
    | ~ spl0_40 ),
    inference(resolution,[],[f350,f293]) ).

fof(f859,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_25
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f853]) ).

fof(f866,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_43 ),
    inference(resolution,[],[f365,f278]) ).

fof(f867,plain,
    ( c3_1(a188)
    | c2_1(a188)
    | ~ spl0_43
    | spl0_136 ),
    inference(resolution,[],[f365,f800]) ).

fof(f868,plain,
    ( c3_1(a191)
    | c2_1(a191)
    | ~ spl0_43
    | spl0_131 ),
    inference(resolution,[],[f365,f776]) ).

fof(f871,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f866]) ).

fof(f874,plain,
    ( spl0_130
    | spl0_129
    | ~ spl0_43
    | spl0_131 ),
    inference(avatar_split_clause,[],[f868,f775,f364,f766,f771]) ).

fof(f876,definition,
    ( spl0_141
  <=> c2_1(a188) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f879,plain,
    ( spl0_141
    | spl0_135
    | ~ spl0_43
    | spl0_136 ),
    inference(avatar_split_clause,[],[f867,f799,f364,f794,f876]) ).

fof(f898,plain,
    ( ~ c2_1(a188)
    | c0_1(a188)
    | ~ spl0_51
    | spl0_135 ),
    inference(resolution,[],[f399,f795]) ).

fof(f900,plain,
    ( ~ c2_1(a214)
    | c0_1(a214)
    | ~ spl0_51
    | spl0_90 ),
    inference(resolution,[],[f399,f585]) ).

fof(f901,plain,
    ( ~ c2_1(a257)
    | c0_1(a257)
    | ~ spl0_51
    | spl0_72 ),
    inference(resolution,[],[f399,f501]) ).

fof(f908,plain,
    ( spl0_91
    | ~ spl0_92
    | ~ spl0_51
    | spl0_90 ),
    inference(avatar_split_clause,[],[f900,f584,f398,f593,f589]) ).

fof(f932,plain,
    ( ~ c0_1(a195)
    | c2_1(a195)
    | ~ spl0_31
    | spl0_117 ),
    inference(resolution,[],[f711,f314]) ).

fof(f934,plain,
    ( ~ c0_1(a195)
    | c3_1(a195)
    | ~ spl0_39
    | spl0_118 ),
    inference(resolution,[],[f716,f344]) ).

fof(f939,definition,
    ( spl0_142
  <=> c3_1(a199) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f940,plain,
    ( c3_1(a199)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f944,definition,
    ( spl0_143
  <=> c2_1(a195) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f949,plain,
    ( spl0_117
    | ~ spl0_119
    | ~ spl0_39
    | spl0_118 ),
    inference(avatar_split_clause,[],[f934,f715,f343,f719,f710]) ).

fof(f959,definition,
    ( spl0_144
  <=> c0_1(a215) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f964,plain,
    ( ~ c3_1(a215)
    | c0_1(a215)
    | ~ spl0_46
    | ~ spl0_65 ),
    inference(resolution,[],[f468,f379]) ).

fof(f969,plain,
    ( spl0_144
    | ~ spl0_63
    | ~ spl0_46
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f964,f467,f378,f458,f959]) ).

fof(f971,plain,
    ( ~ c3_1(a215)
    | ~ c0_1(a215)
    | ~ spl0_18
    | ~ spl0_65 ),
    inference(resolution,[],[f267,f468]) ).

fof(f973,plain,
    ( ~ spl0_144
    | ~ spl0_63
    | ~ spl0_18
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f971,f467,f266,f458,f959]) ).

fof(f980,definition,
    ( spl0_145
  <=> c2_1(a200) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f998,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_36 ),
    inference(resolution,[],[f333,f278]) ).

fof(f1006,plain,
    ( ~ c2_1(a195)
    | c3_1(a195)
    | ~ spl0_36
    | spl0_118 ),
    inference(resolution,[],[f333,f716]) ).

fof(f1007,plain,
    ( ~ c2_1(a199)
    | c3_1(a199)
    | ~ spl0_36
    | spl0_108 ),
    inference(resolution,[],[f333,f669]) ).

fof(f1012,plain,
    ( ~ c2_1(a257)
    | c3_1(a257)
    | ~ spl0_36
    | spl0_73 ),
    inference(resolution,[],[f333,f506]) ).

fof(f1014,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_36 ),
    inference(duplicate_literal_removal,[],[f998]) ).

fof(f1016,plain,
    ( spl0_72
    | ~ spl0_74
    | ~ spl0_36
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1012,f505,f332,f509,f500]) ).

fof(f1018,plain,
    ( spl0_142
    | ~ spl0_110
    | ~ spl0_36
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1007,f668,f332,f677,f939]) ).

fof(f1019,plain,
    ( spl0_117
    | ~ spl0_143
    | ~ spl0_36
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1006,f715,f332,f944,f710]) ).

fof(f1021,plain,
    ( spl0_20
    | ~ spl0_21
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1014,f332,f277,f273]) ).

fof(f1034,definition,
    ( spl0_147
  <=> c2_1(a209) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1041,plain,
    ( ~ c3_1(a209)
    | c0_1(a209)
    | ~ spl0_46
    | ~ spl0_98 ),
    inference(resolution,[],[f622,f379]) ).

fof(f1049,plain,
    ( c2_1(a197)
    | c3_1(a197)
    | ~ spl0_28
    | ~ spl0_116 ),
    inference(resolution,[],[f706,f304]) ).

fof(f1051,definition,
    ( spl0_148
  <=> c3_1(a197) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1093,definition,
    ( spl0_149
  <=> c3_1(a194) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1113,definition,
    ( spl0_150
  <=> c2_1(a189) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1119,plain,
    ( ~ c3_1(a189)
    | ~ c0_1(a189)
    | ~ spl0_18
    | ~ spl0_67 ),
    inference(resolution,[],[f478,f267]) ).

fof(f1120,plain,
    ( c2_1(a189)
    | ~ c0_1(a189)
    | ~ spl0_25
    | ~ spl0_67 ),
    inference(resolution,[],[f478,f293]) ).

fof(f1122,plain,
    ( ~ spl0_68
    | spl0_150
    | ~ spl0_25
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1120,f477,f292,f1113,f481]) ).

fof(f1124,plain,
    ( ~ spl0_68
    | ~ spl0_66
    | ~ spl0_18
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1119,f477,f266,f472,f481]) ).

fof(f1135,definition,
    ( spl0_151
  <=> c2_1(a193) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1140,plain,
    ( c2_1(a193)
    | c3_1(a193)
    | ~ spl0_28
    | ~ spl0_125 ),
    inference(resolution,[],[f748,f304]) ).

fof(f1144,plain,
    ( ~ c0_1(a200)
    | ~ c2_1(a200)
    | ~ spl0_17
    | ~ spl0_106 ),
    inference(resolution,[],[f262,f660]) ).

fof(f1150,plain,
    ( ~ c0_1(a189)
    | ~ c2_1(a189)
    | ~ spl0_17
    | ~ spl0_66 ),
    inference(resolution,[],[f262,f473]) ).

fof(f1151,plain,
    ( ~ c0_1(a215)
    | ~ c2_1(a215)
    | ~ spl0_17
    | ~ spl0_63 ),
    inference(resolution,[],[f262,f459]) ).

fof(f1153,plain,
    ( ~ spl0_64
    | ~ spl0_144
    | ~ spl0_17
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1151,f458,f261,f959,f463]) ).

fof(f1154,plain,
    ( ~ spl0_150
    | ~ spl0_68
    | ~ spl0_17
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1150,f472,f261,f481,f1113]) ).

fof(f1155,plain,
    ( ~ spl0_145
    | ~ spl0_107
    | ~ spl0_17
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1144,f659,f261,f663,f980]) ).

fof(f1164,plain,
    ( c2_1(a189)
    | ~ c0_1(a189)
    | ~ spl0_24
    | ~ spl0_66 ),
    inference(resolution,[],[f289,f473]) ).

fof(f1167,plain,
    ( ~ spl0_68
    | spl0_150
    | ~ spl0_24
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1164,f472,f288,f1113,f481]) ).

fof(f1188,plain,
    ( ~ c0_1(a194)
    | c2_1(a194)
    | ~ spl0_41
    | spl0_121 ),
    inference(resolution,[],[f355,f730]) ).

fof(f1190,plain,
    ( ~ c0_1(a200)
    | c2_1(a200)
    | ~ spl0_41
    | spl0_105 ),
    inference(resolution,[],[f355,f655]) ).

fof(f1199,plain,
    ( spl0_145
    | ~ spl0_107
    | ~ spl0_41
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1190,f654,f354,f663,f980]) ).

fof(f1200,plain,
    ( spl0_120
    | ~ spl0_122
    | ~ spl0_41
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1188,f729,f354,f733,f724]) ).

fof(f1204,plain,
    ( c3_1(a194)
    | c2_1(a194)
    | ~ spl0_43
    | spl0_121 ),
    inference(resolution,[],[f365,f730]) ).

fof(f1216,definition,
    ( spl0_152
  <=> c3_1(a221) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1219,plain,
    ( spl0_120
    | spl0_149
    | ~ spl0_43
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1204,f729,f364,f1093,f724]) ).

fof(f1222,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(resolution,[],[f386,f333]) ).

fof(f1223,plain,
    ( ~ c2_1(a193)
    | c0_1(a193)
    | ~ spl0_48
    | ~ spl0_125 ),
    inference(resolution,[],[f386,f748]) ).

fof(f1225,plain,
    ( ~ c2_1(a209)
    | c0_1(a209)
    | ~ spl0_48
    | ~ spl0_98 ),
    inference(resolution,[],[f386,f622]) ).

fof(f1227,plain,
    ( ~ c2_1(a215)
    | c0_1(a215)
    | ~ spl0_48
    | ~ spl0_65 ),
    inference(resolution,[],[f386,f468]) ).

fof(f1228,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1222]) ).

fof(f1235,plain,
    ( spl0_51
    | ~ spl0_36
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1228,f385,f332,f398]) ).

fof(f1245,plain,
    ( ~ c3_1(a197)
    | c2_1(a197)
    | ~ spl0_49
    | ~ spl0_116 ),
    inference(resolution,[],[f391,f706]) ).

fof(f1247,plain,
    ( ~ c3_1(a189)
    | c2_1(a189)
    | ~ spl0_49
    | ~ spl0_67 ),
    inference(resolution,[],[f391,f478]) ).

fof(f1258,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_36 ),
    inference(resolution,[],[f323,f333]) ).

fof(f1262,plain,
    ( ~ c2_1(a189)
    | ~ c0_1(a189)
    | ~ spl0_33
    | ~ spl0_67 ),
    inference(resolution,[],[f323,f478]) ).

fof(f1263,plain,
    ( ~ c2_1(a215)
    | ~ c0_1(a215)
    | ~ spl0_33
    | ~ spl0_65 ),
    inference(resolution,[],[f323,f468]) ).

fof(f1264,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_36 ),
    inference(duplicate_literal_removal,[],[f1258]) ).

fof(f1266,plain,
    ( ~ spl0_144
    | ~ spl0_64
    | ~ spl0_33
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1263,f467,f322,f463,f959]) ).

fof(f1268,plain,
    ( spl0_20
    | ~ spl0_33
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f1264,f332,f322,f273]) ).

fof(f1272,definition,
    ( spl0_153
  <=> c2_1(a225) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1278,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_43
    | ~ spl0_52 ),
    inference(resolution,[],[f404,f365]) ).

fof(f1280,plain,
    ( c0_1(a193)
    | c3_1(a193)
    | ~ spl0_52
    | ~ spl0_125 ),
    inference(resolution,[],[f404,f748]) ).

fof(f1285,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_43
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1278]) ).

fof(f1288,plain,
    ( spl0_123
    | spl0_124
    | ~ spl0_52
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1280,f747,f403,f743,f738]) ).

fof(f1289,plain,
    ( spl0_55
    | ~ spl0_43
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1285,f403,f364,f418]) ).

fof(f1291,plain,
    ( c2_1(a198)
    | ~ c0_1(a198)
    | ~ spl0_24
    | ~ spl0_112 ),
    inference(resolution,[],[f688,f289]) ).

fof(f1294,definition,
    ( spl0_154
  <=> c0_1(a198) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1297,plain,
    ( ~ spl0_154
    | spl0_111
    | ~ spl0_24
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1291,f687,f288,f682,f1294]) ).

fof(f1299,plain,
    ( c2_1(a198)
    | ~ c0_1(a198)
    | ~ spl0_25
    | ~ spl0_113 ),
    inference(resolution,[],[f692,f293]) ).

fof(f1306,plain,
    ( ~ spl0_154
    | spl0_111
    | ~ spl0_25
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1299,f691,f292,f682,f1294]) ).

fof(f1311,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_41 ),
    inference(resolution,[],[f278,f355]) ).

fof(f1318,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1311]) ).

fof(f1321,plain,
    ( c0_1(a198)
    | c2_1(a198)
    | ~ spl0_53
    | ~ spl0_112 ),
    inference(resolution,[],[f408,f688]) ).

fof(f1324,plain,
    ( c0_1(a209)
    | c2_1(a209)
    | ~ spl0_53
    | ~ spl0_97 ),
    inference(resolution,[],[f408,f618]) ).

fof(f1327,plain,
    ( c0_1(a225)
    | c2_1(a225)
    | ~ spl0_53
    | ~ spl0_80 ),
    inference(resolution,[],[f408,f538]) ).

fof(f1345,plain,
    ( spl0_111
    | spl0_154
    | ~ spl0_53
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1321,f687,f407,f1294,f682]) ).

fof(f1353,plain,
    ( ~ c2_1(a190)
    | ~ c0_1(a190)
    | ~ spl0_20
    | spl0_132 ),
    inference(resolution,[],[f274,f781]) ).

fof(f1361,plain,
    ( ~ spl0_134
    | ~ spl0_133
    | ~ spl0_20
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1353,f780,f273,f785,f789]) ).

fof(f1371,plain,
    ( ~ c3_1(a200)
    | ~ c0_1(a200)
    | ~ spl0_42
    | spl0_105 ),
    inference(resolution,[],[f361,f655]) ).

fof(f1381,plain,
    ( ~ spl0_107
    | ~ spl0_106
    | ~ spl0_42
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1371,f654,f360,f659,f663]) ).

fof(f1387,plain,
    ( c0_1(a197)
    | c2_1(a197)
    | ~ spl0_54
    | ~ spl0_116 ),
    inference(resolution,[],[f414,f706]) ).

fof(f1421,plain,
    ( c0_1(a191)
    | c2_1(a191)
    | ~ spl0_55
    | spl0_129 ),
    inference(resolution,[],[f419,f767]) ).

fof(f1423,plain,
    ( c0_1(a206)
    | c2_1(a206)
    | ~ spl0_55
    | spl0_99 ),
    inference(resolution,[],[f419,f627]) ).

fof(f1457,plain,
    ( ~ c2_1(a192)
    | ~ c0_1(a192)
    | ~ spl0_20
    | spl0_126 ),
    inference(resolution,[],[f753,f274]) ).

fof(f1458,plain,
    ( ~ c0_1(a192)
    | c2_1(a192)
    | ~ spl0_31
    | spl0_126 ),
    inference(resolution,[],[f753,f314]) ).

fof(f1460,definition,
    ( spl0_155
  <=> c2_1(a192) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1463,plain,
    ( spl0_155
    | ~ spl0_128
    | ~ spl0_31
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1458,f752,f313,f761,f1460]) ).

fof(f1465,plain,
    ( ~ spl0_128
    | ~ spl0_155
    | ~ spl0_20
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1457,f752,f273,f1460,f761]) ).

fof(f1485,plain,
    ( c3_1(a192)
    | ~ c0_1(a192)
    | ~ spl0_21
    | ~ spl0_127 ),
    inference(resolution,[],[f758,f278]) ).

fof(f1486,plain,
    ( c2_1(a192)
    | ~ c0_1(a192)
    | ~ spl0_25
    | ~ spl0_127 ),
    inference(resolution,[],[f758,f293]) ).

fof(f1487,plain,
    ( c2_1(a192)
    | c3_1(a192)
    | ~ spl0_28
    | ~ spl0_127 ),
    inference(resolution,[],[f758,f304]) ).

fof(f1493,plain,
    ( spl0_126
    | spl0_155
    | ~ spl0_28
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1487,f757,f303,f1460,f752]) ).

fof(f1494,plain,
    ( ~ spl0_128
    | spl0_155
    | ~ spl0_25
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1486,f757,f292,f1460,f761]) ).

fof(f1495,plain,
    ( ~ spl0_128
    | spl0_126
    | ~ spl0_21
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1485,f757,f277,f752,f761]) ).

fof(f1507,plain,
    ( ~ c3_1(a225)
    | ~ c2_1(a225)
    | ~ spl0_32
    | spl0_78 ),
    inference(resolution,[],[f319,f529]) ).

fof(f1512,plain,
    ( ~ spl0_153
    | ~ spl0_80
    | ~ spl0_32
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1507,f528,f318,f537,f1272]) ).

fof(f1520,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_33
    | ~ spl0_39 ),
    inference(resolution,[],[f344,f323]) ).

fof(f1527,plain,
    ( ~ c0_1(a257)
    | c3_1(a257)
    | ~ spl0_39
    | spl0_73 ),
    inference(resolution,[],[f344,f506]) ).

fof(f1529,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_33
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1520]) ).

fof(f1546,plain,
    ( ~ c3_1(a199)
    | c0_1(a199)
    | ~ spl0_56
    | spl0_108 ),
    inference(resolution,[],[f424,f669]) ).

fof(f1548,plain,
    ( ~ c3_1(a225)
    | c0_1(a225)
    | ~ spl0_56
    | spl0_78 ),
    inference(resolution,[],[f424,f529]) ).

fof(f1552,plain,
    ( spl0_79
    | ~ spl0_80
    | ~ spl0_56
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1548,f528,f423,f537,f533]) ).

fof(f1554,plain,
    ( spl0_109
    | ~ spl0_142
    | ~ spl0_56
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1546,f668,f423,f939,f673]) ).

fof(f1564,plain,
    ( ~ c2_1(a199)
    | c0_1(a199)
    | ~ spl0_57
    | spl0_108 ),
    inference(resolution,[],[f429,f669]) ).

fof(f1566,plain,
    ( ~ c2_1(a225)
    | c0_1(a225)
    | ~ spl0_57
    | spl0_78 ),
    inference(resolution,[],[f429,f529]) ).

fof(f1571,plain,
    ( spl0_79
    | ~ spl0_153
    | ~ spl0_57
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1566,f528,f428,f1272,f533]) ).

fof(f1573,plain,
    ( spl0_109
    | ~ spl0_110
    | ~ spl0_57
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1564,f668,f428,f677,f673]) ).

fof(f1599,plain,
    ( c3_1(a188)
    | c0_1(a188)
    | ~ spl0_58
    | spl0_136 ),
    inference(resolution,[],[f434,f800]) ).

fof(f1601,plain,
    ( c3_1(a199)
    | c0_1(a199)
    | ~ spl0_58
    | spl0_108 ),
    inference(resolution,[],[f434,f669]) ).

fof(f1603,plain,
    ( c3_1(a225)
    | c0_1(a225)
    | ~ spl0_58
    | spl0_78 ),
    inference(resolution,[],[f434,f529]) ).

fof(f1609,plain,
    ( spl0_79
    | spl0_80
    | ~ spl0_58
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1603,f528,f433,f537,f533]) ).

fof(f1611,plain,
    ( spl0_109
    | spl0_142
    | ~ spl0_58
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1601,f668,f433,f939,f673]) ).

fof(f1613,plain,
    ( spl0_137
    | spl0_135
    | ~ spl0_58
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1599,f799,f433,f794,f803]) ).

fof(f1615,plain,
    ( spl0_114
    | ~ spl0_148
    | ~ spl0_49
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1245,f705,f390,f1051,f696]) ).

fof(f1616,plain,
    ( spl0_150
    | ~ spl0_66
    | ~ spl0_49
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1247,f477,f390,f472,f1113]) ).

fof(f1617,plain,
    ( spl0_139
    | ~ spl0_74
    | ~ spl0_51
    | spl0_72 ),
    inference(avatar_split_clause,[],[f901,f500,f398,f509,f819]) ).

fof(f1618,plain,
    ( spl0_137
    | ~ spl0_141
    | ~ spl0_51
    | spl0_135 ),
    inference(avatar_split_clause,[],[f898,f794,f398,f876,f803]) ).

fof(f1621,plain,
    ( spl0_153
    | spl0_79
    | ~ spl0_53
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1327,f537,f407,f533,f1272]) ).

fof(f1629,plain,
    ( spl0_31
    | ~ spl0_21
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f871,f364,f277,f313]) ).

fof(f1630,plain,
    ( spl0_31
    | ~ spl0_21
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1318,f354,f277,f313]) ).

fof(f1632,plain,
    ( spl0_148
    | spl0_114
    | ~ spl0_28
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1049,f705,f303,f696,f1051]) ).

fof(f1634,plain,
    ( spl0_123
    | spl0_151
    | ~ spl0_28
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1140,f747,f303,f1135,f738]) ).

fof(f1636,plain,
    ( spl0_130
    | ~ spl0_140
    | ~ spl0_31
    | spl0_129 ),
    inference(avatar_split_clause,[],[f831,f766,f313,f837,f771]) ).

fof(f1637,plain,
    ( spl0_143
    | ~ spl0_119
    | ~ spl0_31
    | spl0_117 ),
    inference(avatar_split_clause,[],[f932,f710,f313,f719,f944]) ).

fof(f1641,plain,
    ( ~ spl0_68
    | ~ spl0_150
    | ~ spl0_33
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1262,f477,f322,f1113,f481]) ).

fof(f1643,plain,
    ( spl0_114
    | spl0_115
    | ~ spl0_54
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1387,f705,f413,f701,f696]) ).

fof(f1648,plain,
    ( spl0_130
    | spl0_140
    | ~ spl0_55
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1421,f766,f418,f837,f771]) ).

fof(f1650,plain,
    ( spl0_100
    | spl0_101
    | ~ spl0_55
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1423,f626,f418,f635,f631]) ).

fof(f1653,plain,
    ( spl0_24
    | ~ spl0_25
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f859,f349,f292,f288]) ).

fof(f1672,plain,
    ( c3_1(a221)
    | c2_1(a221)
    | ~ spl0_43
    | spl0_88 ),
    inference(resolution,[],[f576,f365]) ).

fof(f1673,plain,
    ( spl0_87
    | spl0_152
    | ~ spl0_43
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1672,f575,f364,f1216,f570]) ).

fof(f1678,plain,
    ( spl0_20
    | ~ spl0_33
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1529,f343,f322,f273]) ).

fof(f1679,plain,
    ( spl0_72
    | ~ spl0_139
    | ~ spl0_39
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1527,f505,f343,f819,f500]) ).

fof(f1698,plain,
    ( spl0_96
    | ~ spl0_97
    | ~ spl0_46
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1041,f621,f378,f617,f612]) ).

fof(f1699,plain,
    ( spl0_144
    | ~ spl0_63
    | ~ spl0_46
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f964,f467,f378,f458,f959]) ).

fof(f1700,plain,
    ( spl0_144
    | ~ spl0_64
    | ~ spl0_48
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1227,f467,f385,f463,f959]) ).

fof(f1701,plain,
    ( spl0_124
    | ~ spl0_151
    | ~ spl0_48
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1223,f747,f385,f1135,f743]) ).

fof(f1703,plain,
    ( spl0_96
    | ~ spl0_147
    | ~ spl0_48
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1225,f621,f385,f1034,f612]) ).

fof(f1708,plain,
    ( spl0_147
    | spl0_96
    | ~ spl0_53
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1324,f617,f407,f612,f1034]) ).

fof(f1715,plain,
    ( ~ c3_1(a221)
    | c2_1(a221)
    | ~ spl0_40
    | spl0_88 ),
    inference(resolution,[],[f576,f350]) ).

fof(f1716,plain,
    ( spl0_87
    | ~ spl0_152
    | ~ spl0_40
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1715,f575,f349,f1216,f570]) ).

fof(f1719,plain,
    ( ~ c3_1(a194)
    | c2_1(a194)
    | ~ spl0_40
    | spl0_121 ),
    inference(resolution,[],[f730,f350]) ).

fof(f1720,plain,
    ( spl0_120
    | ~ spl0_149
    | ~ spl0_40
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1719,f729,f349,f1093,f724]) ).

fof(f1728,plain,
    ( ~ c2_1(a195)
    | ~ c0_1(a195)
    | ~ spl0_20
    | spl0_117 ),
    inference(resolution,[],[f274,f711]) ).

fof(f1733,plain,
    ( ~ c2_1(a257)
    | ~ c0_1(a257)
    | ~ spl0_20
    | spl0_72 ),
    inference(resolution,[],[f274,f501]) ).

fof(f1735,plain,
    ( ~ spl0_139
    | ~ spl0_74
    | ~ spl0_20
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1733,f500,f273,f509,f819]) ).

fof(f1738,plain,
    ( ~ spl0_119
    | ~ spl0_143
    | ~ spl0_20
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1728,f710,f273,f944,f719]) ).

fof(f1744,plain,
    ( ~ c2_1(a193)
    | c3_1(a193)
    | ~ spl0_26
    | ~ spl0_125 ),
    inference(resolution,[],[f297,f748]) ).

fof(f1755,plain,
    ( spl0_123
    | ~ spl0_151
    | ~ spl0_26
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1744,f747,f296,f1135,f738]) ).

fof(f1822,plain,
    ( c0_1(a199)
    | ~ c2_1(a199)
    | ~ spl0_45
    | ~ spl0_142 ),
    inference(resolution,[],[f372,f940]) ).

fof(f1823,plain,
    ( c0_1(a225)
    | ~ c2_1(a225)
    | ~ spl0_45
    | ~ spl0_80 ),
    inference(resolution,[],[f372,f538]) ).

fof(f1825,plain,
    ( ~ spl0_153
    | spl0_79
    | ~ spl0_45
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1823,f537,f371,f533,f1272]) ).

fof(f1826,plain,
    ( ~ spl0_110
    | spl0_109
    | ~ spl0_45
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1822,f939,f371,f673,f677]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f214]) ).

cnf(s4,plain,
    ( spl0_2
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f238]) ).

cnf(s5,plain,
    ( spl0_4
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f245]) ).

cnf(s6,plain,
    ( spl0_4
    | spl0_6
    | spl0_13 ),
    inference(sat_conversion,[],[f249]) ).

cnf(s9,plain,
    ( spl0_10
    | spl0_13
    | ~ spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s10,plain,
    ( spl0_6
    | spl0_12
    | ~ spl0_16
    | spl0_18 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s11,plain,
    ( spl0_8
    | ~ spl0_16
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s12,plain,
    ( spl0_4
    | spl0_5
    | ~ spl0_16
    | spl0_21 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s16,plain,
    ( spl0_1
    | ~ spl0_16
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f298]) ).

cnf(s17,plain,
    ( spl0_1
    | ~ spl0_16
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f305]) ).

cnf(s20,plain,
    ( ~ spl0_16
    | spl0_21
    | spl0_24
    | spl0_32 ),
    inference(sat_conversion,[],[f320]) ).

cnf(s22,plain,
    ( ~ spl0_16
    | spl0_20
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s23,plain,
    ( spl0_8
    | ~ spl0_16
    | spl0_25
    | spl0_36 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s25,plain,
    ( spl0_13
    | spl0_15
    | ~ spl0_16
    | spl0_39 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s26,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_18
    | spl0_39 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s29,plain,
    ( spl0_4
    | ~ spl0_16
    | spl0_18
    | spl0_41 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s31,plain,
    ( ~ spl0_16
    | spl0_31
    | spl0_33
    | spl0_41 ),
    inference(sat_conversion,[],[f358]) ).

cnf(s32,plain,
    ( spl0_8
    | ~ spl0_16
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s33,plain,
    ( spl0_2
    | ~ spl0_16
    | spl0_28
    | spl0_43 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s35,plain,
    ( spl0_5
    | ~ spl0_16
    | spl0_33
    | spl0_45 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s37,plain,
    ( ~ spl0_16
    | spl0_29
    | spl0_43
    | spl0_45 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s38,plain,
    ( ~ spl0_16
    | spl0_19
    | spl0_43
    | spl0_46 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s40,plain,
    ( spl0_1
    | ~ spl0_16
    | spl0_21
    | spl0_48 ),
    inference(sat_conversion,[],[f388]) ).

cnf(s41,plain,
    ( spl0_11
    | ~ spl0_16
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f392]) ).

cnf(s42,plain,
    ( spl0_6
    | ~ spl0_16
    | spl0_41
    | spl0_48 ),
    inference(sat_conversion,[],[f393]) ).

cnf(s44,plain,
    ( ~ spl0_16
    | spl0_31
    | spl0_33
    | spl0_51 ),
    inference(sat_conversion,[],[f401]) ).

cnf(s45,plain,
    ( spl0_10
    | ~ spl0_16
    | spl0_51
    | spl0_52 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s47,plain,
    ( ~ spl0_16
    | spl0_20
    | spl0_36
    | spl0_53 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s49,plain,
    ( spl0_4
    | ~ spl0_16
    | spl0_44
    | spl0_54 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s51,plain,
    ( ~ spl0_16
    | spl0_47
    | spl0_55 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s53,plain,
    ( ~ spl0_16
    | spl0_22
    | spl0_27
    | spl0_56 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s54,plain,
    ( spl0_6
    | ~ spl0_16
    | spl0_21
    | spl0_56 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s55,plain,
    ( ~ spl0_16
    | spl0_41
    | spl0_46
    | spl0_57 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s56,plain,
    ( ~ spl0_16
    | spl0_40
    | spl0_48
    | spl0_57 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s57,plain,
    ( spl0_12
    | ~ spl0_16
    | spl0_58 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s65,plain,
    ( ~ spl0_8
    | spl0_63 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s66,plain,
    ( ~ spl0_8
    | spl0_64 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s67,plain,
    ( ~ spl0_8
    | spl0_65 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s69,plain,
    ( ~ spl0_13
    | spl0_66 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s70,plain,
    ( ~ spl0_13
    | spl0_67 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s71,plain,
    ( ~ spl0_13
    | spl0_68 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s77,plain,
    ( ~ spl0_9
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s78,plain,
    ( ~ spl0_9
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s79,plain,
    ( ~ spl0_9
    | spl0_74 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s85,plain,
    ( ~ spl0_35
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s86,plain,
    ( ~ spl0_35
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s87,plain,
    ( ~ spl0_35
    | spl0_80 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s97,plain,
    ( ~ spl0_15
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s98,plain,
    ( ~ spl0_15
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s101,plain,
    ( ~ spl0_2
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s102,plain,
    ( ~ spl0_2
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s103,plain,
    ( ~ spl0_2
    | spl0_92 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s104,plain,
    ( ~ spl0_2
    | spl0_16 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s108,plain,
    ( ~ spl0_3
    | spl0_16 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s109,plain,
    ( ~ spl0_29
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s110,plain,
    ( ~ spl0_29
    | spl0_97 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s111,plain,
    ( ~ spl0_29
    | spl0_98 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s113,plain,
    ( ~ spl0_1
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s114,plain,
    ( ~ spl0_1
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s115,plain,
    ( ~ spl0_1
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s116,plain,
    ( ~ spl0_1
    | spl0_16 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s121,plain,
    ( ~ spl0_19
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s122,plain,
    ( ~ spl0_19
    | spl0_106 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s123,plain,
    ( ~ spl0_19
    | spl0_107 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s125,plain,
    ( ~ spl0_4
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s126,plain,
    ( ~ spl0_4
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s127,plain,
    ( ~ spl0_4
    | spl0_110 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s129,plain,
    ( ~ spl0_44
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s130,plain,
    ( ~ spl0_44
    | spl0_112 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s131,plain,
    ( ~ spl0_44
    | spl0_113 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s133,plain,
    ( ~ spl0_5
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s134,plain,
    ( ~ spl0_5
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s135,plain,
    ( ~ spl0_5
    | spl0_116 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s137,plain,
    ( ~ spl0_47
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s138,plain,
    ( ~ spl0_47
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s139,plain,
    ( ~ spl0_47
    | spl0_119 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s141,plain,
    ( ~ spl0_10
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s142,plain,
    ( ~ spl0_10
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s143,plain,
    ( ~ spl0_10
    | spl0_122 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s145,plain,
    ( ~ spl0_22
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s146,plain,
    ( ~ spl0_22
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s147,plain,
    ( ~ spl0_22
    | spl0_125 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s149,plain,
    ( ~ spl0_27
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s150,plain,
    ( ~ spl0_27
    | spl0_127 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s151,plain,
    ( ~ spl0_27
    | spl0_128 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s153,plain,
    ( ~ spl0_6
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s154,plain,
    ( ~ spl0_6
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s155,plain,
    ( ~ spl0_6
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s157,plain,
    ( ~ spl0_12
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s158,plain,
    ( ~ spl0_12
    | spl0_133 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s159,plain,
    ( ~ spl0_12
    | spl0_134 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s161,plain,
    ( ~ spl0_11
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s162,plain,
    ( ~ spl0_11
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s163,plain,
    ( ~ spl0_11
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s169,plain,
    ( ~ spl0_43
    | spl0_129
    | spl0_130
    | spl0_131 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s170,plain,
    ( ~ spl0_43
    | spl0_135
    | spl0_136
    | spl0_141 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s174,plain,
    ( ~ spl0_51
    | spl0_90
    | spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s184,plain,
    ( ~ spl0_39
    | spl0_117
    | spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s188,plain,
    ( ~ spl0_46
    | ~ spl0_63
    | ~ spl0_65
    | spl0_144 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s189,plain,
    ( ~ spl0_18
    | ~ spl0_63
    | ~ spl0_65
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s196,plain,
    ( ~ spl0_36
    | spl0_72
    | spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1016]) ).

cnf(s197,plain,
    ( ~ spl0_36
    | spl0_108
    | ~ spl0_110
    | spl0_142 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s198,plain,
    ( ~ spl0_36
    | spl0_117
    | spl0_118
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s200,plain,
    ( spl0_20
    | ~ spl0_21
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s234,plain,
    ( ~ spl0_25
    | ~ spl0_67
    | ~ spl0_68
    | spl0_150 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s235,plain,
    ( ~ spl0_18
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s246,plain,
    ( ~ spl0_17
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1153]) ).

cnf(s247,plain,
    ( ~ spl0_17
    | ~ spl0_66
    | ~ spl0_68
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1154]) ).

cnf(s248,plain,
    ( ~ spl0_17
    | ~ spl0_106
    | ~ spl0_107
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1155]) ).

cnf(s250,plain,
    ( ~ spl0_24
    | ~ spl0_66
    | ~ spl0_68
    | spl0_150 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s257,plain,
    ( ~ spl0_41
    | spl0_105
    | ~ spl0_107
    | spl0_145 ),
    inference(sat_conversion,[],[f1199]) ).

cnf(s258,plain,
    ( ~ spl0_41
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1200]) ).

cnf(s261,plain,
    ( ~ spl0_43
    | spl0_120
    | spl0_121
    | spl0_149 ),
    inference(sat_conversion,[],[f1219]) ).

cnf(s266,plain,
    ( ~ spl0_36
    | ~ spl0_48
    | spl0_51 ),
    inference(sat_conversion,[],[f1235]) ).

cnf(s272,plain,
    ( ~ spl0_33
    | ~ spl0_64
    | ~ spl0_65
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1266]) ).

cnf(s274,plain,
    ( spl0_20
    | ~ spl0_33
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f1268]) ).

cnf(s278,plain,
    ( ~ spl0_52
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1288]) ).

cnf(s279,plain,
    ( ~ spl0_43
    | ~ spl0_52
    | spl0_55 ),
    inference(sat_conversion,[],[f1289]) ).

cnf(s281,plain,
    ( ~ spl0_24
    | spl0_111
    | ~ spl0_112
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1297]) ).

cnf(s283,plain,
    ( ~ spl0_25
    | spl0_111
    | ~ spl0_113
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1306]) ).

cnf(s292,plain,
    ( ~ spl0_53
    | spl0_111
    | ~ spl0_112
    | spl0_154 ),
    inference(sat_conversion,[],[f1345]) ).

cnf(s296,plain,
    ( ~ spl0_20
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1361]) ).

cnf(s297,plain,
    ( ~ spl0_42
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1381]) ).

cnf(s318,plain,
    ( ~ spl0_31
    | spl0_126
    | ~ spl0_128
    | spl0_155 ),
    inference(sat_conversion,[],[f1463]) ).

cnf(s319,plain,
    ( ~ spl0_20
    | spl0_126
    | ~ spl0_128
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1465]) ).

cnf(s337,plain,
    ( ~ spl0_28
    | spl0_126
    | ~ spl0_127
    | spl0_155 ),
    inference(sat_conversion,[],[f1493]) ).

cnf(s338,plain,
    ( ~ spl0_25
    | ~ spl0_127
    | ~ spl0_128
    | spl0_155 ),
    inference(sat_conversion,[],[f1494]) ).

cnf(s339,plain,
    ( ~ spl0_21
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1495]) ).

cnf(s341,plain,
    ( ~ spl0_32
    | spl0_78
    | ~ spl0_80
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1512]) ).

cnf(s347,plain,
    ( ~ spl0_56
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f1552]) ).

cnf(s349,plain,
    ( ~ spl0_56
    | spl0_108
    | spl0_109
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1554]) ).

cnf(s352,plain,
    ( ~ spl0_57
    | spl0_78
    | spl0_79
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1571]) ).

cnf(s354,plain,
    ( ~ spl0_57
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1573]) ).

cnf(s360,plain,
    ( ~ spl0_58
    | spl0_78
    | spl0_79
    | spl0_80 ),
    inference(sat_conversion,[],[f1609]) ).

cnf(s362,plain,
    ( ~ spl0_58
    | spl0_108
    | spl0_109
    | spl0_142 ),
    inference(sat_conversion,[],[f1611]) ).

cnf(s364,plain,
    ( ~ spl0_58
    | spl0_135
    | spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f1613]) ).

cnf(s366,plain,
    ( ~ spl0_49
    | spl0_114
    | ~ spl0_116
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1615]) ).

cnf(s367,plain,
    ( ~ spl0_49
    | ~ spl0_66
    | ~ spl0_67
    | spl0_150 ),
    inference(sat_conversion,[],[f1616]) ).

cnf(s368,plain,
    ( ~ spl0_51
    | spl0_72
    | ~ spl0_74
    | spl0_139 ),
    inference(sat_conversion,[],[f1617]) ).

cnf(s369,plain,
    ( ~ spl0_51
    | spl0_135
    | spl0_137
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f1618]) ).

cnf(s372,plain,
    ( ~ spl0_53
    | spl0_79
    | ~ spl0_80
    | spl0_153 ),
    inference(sat_conversion,[],[f1621]) ).

cnf(s381,plain,
    ( ~ spl0_21
    | spl0_31
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f1629]) ).

cnf(s382,plain,
    ( ~ spl0_21
    | spl0_31
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1630]) ).

cnf(s385,plain,
    ( ~ spl0_28
    | spl0_114
    | ~ spl0_116
    | spl0_148 ),
    inference(sat_conversion,[],[f1632]) ).

cnf(s388,plain,
    ( ~ spl0_28
    | spl0_123
    | ~ spl0_125
    | spl0_151 ),
    inference(sat_conversion,[],[f1634]) ).

cnf(s390,plain,
    ( ~ spl0_31
    | spl0_129
    | spl0_130
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1636]) ).

cnf(s391,plain,
    ( ~ spl0_31
    | spl0_117
    | ~ spl0_119
    | spl0_143 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s395,plain,
    ( ~ spl0_33
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1641]) ).

cnf(s398,plain,
    ( ~ spl0_54
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1643]) ).

cnf(s403,plain,
    ( ~ spl0_55
    | spl0_129
    | spl0_130
    | spl0_140 ),
    inference(sat_conversion,[],[f1648]) ).

cnf(s405,plain,
    ( ~ spl0_55
    | spl0_99
    | spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f1650]) ).

cnf(s408,plain,
    ( spl0_24
    | ~ spl0_25
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1653]) ).

cnf(s413,plain,
    ( ~ spl0_43
    | spl0_87
    | spl0_88
    | spl0_152 ),
    inference(sat_conversion,[],[f1673]) ).

cnf(s418,plain,
    ( spl0_20
    | ~ spl0_33
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1678]) ).

cnf(s421,plain,
    ( ~ spl0_39
    | spl0_72
    | spl0_73
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1679]) ).

cnf(s441,plain,
    ( ~ spl0_46
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f1698]) ).

cnf(s442,plain,
    ( ~ spl0_46
    | ~ spl0_63
    | ~ spl0_65
    | spl0_144 ),
    inference(sat_conversion,[],[f1699]) ).

cnf(s443,plain,
    ( ~ spl0_48
    | ~ spl0_64
    | ~ spl0_65
    | spl0_144 ),
    inference(sat_conversion,[],[f1700]) ).

cnf(s444,plain,
    ( ~ spl0_48
    | spl0_124
    | ~ spl0_125
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1701]) ).

cnf(s446,plain,
    ( ~ spl0_48
    | spl0_96
    | ~ spl0_98
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1703]) ).

cnf(s451,plain,
    ( ~ spl0_53
    | spl0_96
    | ~ spl0_97
    | spl0_147 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s458,plain,
    ( ~ spl0_40
    | spl0_87
    | spl0_88
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1716]) ).

cnf(s459,plain,
    ( ~ spl0_40
    | spl0_120
    | spl0_121
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1720]) ).

cnf(s460,plain,
    ( ~ spl0_20
    | spl0_72
    | ~ spl0_74
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s462,plain,
    ( ~ spl0_20
    | spl0_117
    | ~ spl0_119
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1738]) ).

cnf(s467,plain,
    ( ~ spl0_26
    | spl0_123
    | ~ spl0_125
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1755]) ).

cnf(s474,plain,
    ( ~ spl0_45
    | spl0_79
    | ~ spl0_80
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s475,plain,
    ( ~ spl0_45
    | spl0_109
    | ~ spl0_110
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f1826]) ).

cnf(s476,plain,
    ( ~ spl0_10
    | ~ spl0_41 ),
    inference(rat,[],[s258,s141,s142,s143]) ).

cnf(s477,plain,
    ( ~ spl0_19
    | ~ spl0_17
    | ~ spl0_41 ),
    inference(rat,[],[s257,s248,s121,s122,s123]) ).

cnf(s478,plain,
    ( spl0_121
    | spl0_120
    | ~ spl0_43
    | ~ spl0_40 ),
    inference(rat,[],[s261,s459]) ).

cnf(s480,plain,
    ( ~ spl0_27
    | ~ spl0_21 ),
    inference(rat,[],[s339,s149,s150,s151]) ).

cnf(s481,plain,
    ( spl0_6
    | spl0_5
    | spl0_4
    | ~ spl0_16 ),
    inference(rat,[],[s278,s145,s146,s147,s53,s45,s369,s170,s38,s477,s476,s161,s162,s163,s41,s442,s443,s272,s65,s66,s67,s23,s367,s234,s26,s395,s418,s35,s347,s474,s372,s85,s86,s87,s22,s47,s200,s296,s157,s158,s159,s10,s29,s235,s69,s70,s71,s6,s480,s12]) ).

cnf(s482,plain,
    ( ~ spl0_41
    | spl0_43
    | spl0_129
    | spl0_130
    | ~ spl0_21
    | spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s395,s250,s69,s70,s71,s408,s9,s16,s56,s477,s467,s446,s38,s388,s451,s441,s145,s147,s109,s110,s111,s53,s37,s35,s347,s352,s474,s372,s85,s86,s87,s22,s47,s462,s391,s137,s139,s196,s51,s77,s78,s79,s403,s4,s390,s476,s382,s17,s480,s108,s1]) ).

cnf(s483,plain,
    ( spl0_79
    | spl0_78
    | ~ spl0_53
    | ~ spl0_57
    | ~ spl0_21
    | ~ spl0_16 ),
    inference(rat,[],[s22,s200,s296,s157,s158,s159,s57,s360,s87,s372,s352]) ).

cnf(s484,plain,
    ( spl0_20
    | spl0_35
    | ~ spl0_21
    | ~ spl0_16 ),
    inference(rat,[],[s22,s200]) ).

cnf(s487,plain,
    ( ~ spl0_12
    | ~ spl0_20 ),
    inference(rat,[],[s296,s157,s158,s159]) ).

cnf(s488,plain,
    ( spl0_12
    | spl0_4
    | ~ spl0_16 ),
    inference(rat,[],[s364,s161,s162,s163,s57,s5]) ).

cnf(s490,plain,
    ( spl0_5
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s441,s109,s110,s111,s55,s37,s483,s474,s372,s47,s85,s86,s87,s484,s200,s482,s169,s153,s154,s155,s481,s12,s487,s488,s108,s1]) ).

cnf(s491,plain,
    ( ~ spl0_21
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113
    | spl0_20
    | ~ spl0_16
    | spl0_1 ),
    inference(rat,[],[s388,s467,s145,s147,s16,s53,s283,s347,s292,s85,s86,s87,s47,s17,s484,s200,s480]) ).

cnf(s492,plain,
    ( ~ spl0_53
    | ~ spl0_35
    | spl0_79
    | spl0_21
    | spl0_111
    | ~ spl0_112
    | ~ spl0_16 ),
    inference(rat,[],[s20,s341,s281,s372,s292,s87,s85]) ).

cnf(s493,plain,
    ( ~ spl0_9
    | ~ spl0_36 ),
    inference(rat,[],[s196,s77,s78,s79]) ).

cnf(s495,plain,
    ( ~ spl0_47
    | ~ spl0_31
    | ~ spl0_36 ),
    inference(rat,[],[s198,s391,s137,s138,s139]) ).

cnf(s496,plain,
    ( ~ spl0_6
    | ~ spl0_55
    | ~ spl0_31 ),
    inference(rat,[],[s403,s390,s153,s154]) ).

cnf(s497,plain,
    ( ~ spl0_36
    | spl0_4
    | ~ spl0_16
    | spl0_2 ),
    inference(rat,[],[s235,s69,s70,s71,s6,s496,s51,s495,s31,s29,s476,s4,s493,s274,s487,s488]) ).

cnf(s498,plain,
    ( spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s492,s86,s47,s22,s497,s491,s129,s130,s131,s49,s398,s133,s134,s135,s490,s487,s488,s108,s1]) ).

cnf(s503,plain,
    ( ~ spl0_15
    | ~ spl0_43
    | ~ spl0_40 ),
    inference(rat,[],[s413,s458,s97,s98]) ).

cnf(s504,plain,
    ( ~ spl0_17
    | ~ spl0_33
    | spl0_39
    | ~ spl0_41
    | ~ spl0_40
    | ~ spl0_25
    | spl0_20
    | ~ spl0_16 ),
    inference(rat,[],[s247,s69,s234,s70,s71,s25,s503,s38,s188,s272,s65,s66,s67,s11,s477]) ).

cnf(s505,plain,
    ( spl0_17
    | spl0_39
    | spl0_10
    | ~ spl0_16 ),
    inference(rat,[],[s235,s69,s70,s71,s9,s26]) ).

cnf(s506,plain,
    ( ~ spl0_41
    | ~ spl0_40
    | ~ spl0_25
    | spl0_48
    | spl0_52
    | spl0_45
    | ~ spl0_28
    | spl0_20
    | ~ spl0_16
    | spl0_2 ),
    inference(rat,[],[s170,s369,s161,s162,s163,s41,s366,s38,s385,s188,s246,s133,s135,s65,s66,s67,s35,s11,s504,s477,s505,s421,s368,s77,s78,s79,s45,s4,s476]) ).

cnf(s507,plain,
    ( ~ spl0_21
    | spl0_20
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s441,s109,s110,s111,s37,s169,s153,s154,s155,s55,s42,s506,s56,s16,s444,s467,s278,s388,s145,s146,s147,s53,s474,s347,s372,s85,s86,s87,s47,s17,s484,s200,s480,s108,s1,s354,s125,s126,s127,s498]) ).

cnf(s508,plain,
    ( spl0_36
    | ~ spl0_48
    | spl0_21
    | spl0_20
    | ~ spl0_16 ),
    inference(rat,[],[s446,s451,s109,s110,s111,s37,s169,s153,s154,s155,s54,s474,s347,s372,s85,s86,s87,s47,s22]) ).

cnf(s509,plain,
    ( spl0_20
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s51,s496,s495,s31,s54,s476,s349,s4,s197,s493,s274,s508,s40,s507,s108,s1,s127,s126,s125,s498]) ).

cnf(s510,plain,
    ( spl0_10
    | spl0_52
    | ~ spl0_20
    | ~ spl0_16
    | spl0_2 ),
    inference(rat,[],[s368,s460,s77,s79,s45,s4]) ).

cnf(s511,plain,
    ( spl0_27
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s441,s109,s110,s111,s37,s55,s478,s476,s141,s142,s510,s56,s444,s278,s388,s145,s146,s147,s53,s17,s354,s349,s475,s362,s57,s487,s509,s108,s1,s125,s127,s126,s498]) ).

cnf(s512,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s169,s33,s153,s154,s155,s337,s54,s319,s480,s149,s150,s151,s511,s349,s362,s57,s487,s509,s125,s126,s498,s108,s1]) ).

cnf(s513,plain,
    ( ~ spl0_21
    | spl0_20
    | spl0_1 ),
    inference(rat,[],[s441,s109,s110,s111,s37,s55,s478,s476,s141,s142,s56,s45,s444,s278,s388,s145,s146,s147,s53,s474,s483,s347,s372,s85,s86,s87,s47,s17,s484,s200,s480,s104,s174,s101,s102,s103,s512]) ).

cnf(s514,plain,
    ( spl0_20
    | spl0_1 ),
    inference(rat,[],[s266,s508,s40,s513,s104,s174,s101,s102,s103,s512]) ).

cnf(s515,plain,
    ( spl0_27
    | spl0_1 ),
    inference(rat,[],[s441,s109,s110,s111,s37,s55,s478,s476,s141,s142,s56,s45,s444,s278,s388,s145,s146,s147,s53,s17,s174,s101,s102,s103,s354,s349,s475,s362,s125,s57,s127,s126,s488,s487,s514,s104,s512]) ).

cnf(s516,plain,
    spl0_1,
    inference(rat,[],[s443,s272,s66,s67,s23,s44,s266,s338,s318,s40,s319,s480,s149,s150,s151,s515,s514,s174,s101,s102,s103,s104,s512]) ).

cnf(s517,plain,
    spl0_16,
    inference(rat,[],[s116,s516]) ).

cnf(s518,plain,
    ~ spl0_101,
    inference(rat,[],[s115,s516]) ).

cnf(s519,plain,
    ~ spl0_100,
    inference(rat,[],[s114,s516]) ).

cnf(s520,plain,
    ~ spl0_99,
    inference(rat,[],[s113,s516]) ).

cnf(s521,plain,
    ~ spl0_55,
    inference(rat,[],[s405,s518,s519,s520]) ).

cnf(s522,plain,
    spl0_47,
    inference(rat,[],[s51,s517,s521]) ).

cnf(s523,plain,
    spl0_119,
    inference(rat,[],[s139,s522]) ).

cnf(s524,plain,
    ~ spl0_118,
    inference(rat,[],[s138,s522]) ).

cnf(s525,plain,
    ~ spl0_117,
    inference(rat,[],[s137,s522]) ).

cnf(s526,plain,
    ~ spl0_39,
    inference(rat,[],[s184,s523,s524,s525]) ).

cnf(s527,plain,
    ( ~ spl0_41
    | ~ spl0_21
    | spl0_20 ),
    inference(rat,[],[s170,s369,s161,s162,s163,s41,s367,s247,s69,s70,s71,s25,s503,s56,s38,s443,s442,s246,s65,s66,s67,s11,s477,s505,s45,s476,s483,s47,s200,s278,s145,s146,s147,s53,s347,s87,s86,s85,s484,s480,s517,s526]) ).

cnf(s528,plain,
    ( ~ spl0_29
    | ~ spl0_46 ),
    inference(rat,[],[s441,s109,s110,s111]) ).

cnf(s529,plain,
    ( ~ spl0_6
    | ~ spl0_43 ),
    inference(rat,[],[s169,s153,s154,s155]) ).

cnf(s530,plain,
    ( ~ spl0_8
    | ~ spl0_17
    | ~ spl0_48 ),
    inference(rat,[],[s246,s443,s65,s66,s67]) ).

cnf(s531,plain,
    ( spl0_8
    | spl0_41
    | spl0_20 ),
    inference(rat,[],[s297,s121,s122,s123,s11,s32,s517]) ).

cnf(s532,plain,
    ( ~ spl0_21
    | spl0_20 ),
    inference(rat,[],[s189,s26,s443,s530,s65,s66,s67,s531,s42,s529,s37,s528,s55,s527,s474,s483,s372,s85,s86,s87,s47,s484,s200,s526,s517]) ).

cnf(s533,plain,
    ( ~ spl0_35
    | spl0_79
    | ~ spl0_56 ),
    inference(rat,[],[s347,s85,s87]) ).

cnf(s534,plain,
    ( ~ spl0_2
    | ~ spl0_51 ),
    inference(rat,[],[s174,s101,s102,s103]) ).

cnf(s535,plain,
    ( ~ spl0_41
    | spl0_20 ),
    inference(rat,[],[s533,s86,s22,s493,s4,s534,s54,s45,s529,s279,s38,s442,s246,s65,s66,s67,s11,s477,s505,s476,s532,s517,s521,s526]) ).

cnf(s536,plain,
    ( ~ spl0_48
    | ~ spl0_8 ),
    inference(rat,[],[s189,s26,s443,s530,s67,s66,s65,s517,s526]) ).

cnf(s537,plain,
    ( spl0_36
    | spl0_20 ),
    inference(rat,[],[s528,s37,s55,s474,s352,s372,s85,s86,s87,s47,s22,s529,s42,s536,s531,s535,s517]) ).

cnf(s538,plain,
    spl0_20,
    inference(rat,[],[s31,s495,s274,s537,s535,s517,s522]) ).

cnf(s539,plain,
    ~ spl0_12,
    inference(rat,[],[s487,s538]) ).

cnf(s540,plain,
    ~ spl0_143,
    inference(rat,[],[s462,s525,s523,s538]) ).

cnf(s541,plain,
    spl0_58,
    inference(rat,[],[s57,s517,s539]) ).

cnf(s542,plain,
    spl0_4,
    inference(rat,[],[s488,s517,s539]) ).

cnf(s543,plain,
    ~ spl0_31,
    inference(rat,[],[s391,s525,s523,s540]) ).

cnf(s544,plain,
    spl0_110,
    inference(rat,[],[s127,s542]) ).

cnf(s545,plain,
    ~ spl0_109,
    inference(rat,[],[s126,s542]) ).

cnf(s546,plain,
    ~ spl0_108,
    inference(rat,[],[s125,s542]) ).

cnf(s548,plain,
    ~ spl0_57,
    inference(rat,[],[s354,s544,s545,s546]) ).

cnf(s549,plain,
    spl0_142,
    inference(rat,[],[s362,s541,s545,s546]) ).

cnf(s550,plain,
    ~ spl0_56,
    inference(rat,[],[s349,s546,s545,s549]) ).

cnf(s551,plain,
    ~ spl0_45,
    inference(rat,[],[s475,s545,s544,s549]) ).

cnf(s557,plain,
    ~ spl0_41,
    inference(rat,[],[s528,s38,s37,s477,s529,s505,s54,s476,s382,s517,s551,s526,s550,s543]) ).

cnf(s559,plain,
    spl0_46,
    inference(rat,[],[s55,s548,s517,s557]) ).

cnf(s560,plain,
    ~ spl0_29,
    inference(rat,[],[s528,s559]) ).

cnf(s561,plain,
    spl0_43,
    inference(rat,[],[s37,s551,s517,s560]) ).

cnf(s564,plain,
    ~ spl0_21,
    inference(rat,[],[s381,s543,s561]) ).

cnf(s566,plain,
    ~ spl0_6,
    inference(rat,[],[s529,s561]) ).

cnf(s569,plain,
    $false,
    inference(rat,[],[s54,s550,s517,s564,s566]) ).

fof(f1827,plain,
    $false,
    inference(avatar_sat_refutation,[],[s569]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN459+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n005.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 16:06:01 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 0.66/0.99  % (903091)Detected formulas, will run a generic FOF schedule.
% 0.66/0.99  % (903102)dis-21_1_sil=8000:lcm=predicate:random_seed=2289099427: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)
% 0.66/0.99  % (903102)First to succeed.
% 0.66/0.99  % (903102)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-903091"
% 0.66/0.99  % (903100)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=37732742:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.66/0.99  % (903099)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2767890291:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.66/0.99  % (903098)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=1146683440:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.66/0.99  % (903096)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=3460650930:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.66/0.99  % (903097)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=1843295755:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.66/0.99  % (903101)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2735211291:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.66/0.99  % (903100)Instruction limit reached! 
% 0.66/0.99  % (903100)------------------------------
% 0.66/0.99  % (903100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.66/0.99  % (903100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.99  % (903100)CaDiCaL version: 2.1.3
% 0.66/0.99  % (903100)Termination reason: Instruction limit
% 0.66/0.99  % (903100)Termination phase: Saturation
% 0.66/0.99  % (903100)Time elapsed: 0.059 s
% 0.66/0.99  % (903100)Peak memory usage: 87 MB
% 0.66/0.99  % (903100)Instructions burned: 120 (million)
% 0.66/0.99  % (903099)Instruction limit reached! 
% 0.66/0.99  % (903099)------------------------------
% 0.66/0.99  % (903099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.66/0.99  % (903099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.99  % (903099)CaDiCaL version: 2.1.3
% 0.66/0.99  % (903099)Termination reason: Instruction limit
% 0.66/0.99  % (903099)Termination phase: Saturation
% 0.66/0.99  % (903099)Time elapsed: 0.071 s
% 0.66/0.99  % (903099)Peak memory usage: 90 MB
% 0.66/0.99  % (903099)Instructions burned: 109 (million)
% 0.66/0.99  % (903101)Also succeeded, but the first one will report.
% 0.66/0.99  % (903102)Refutation found. Thanks to Tanya!
% 0.66/0.99  % SZS status Theorem for theBenchmark
% 0.66/0.99  % SZS output start Proof for theBenchmark
% See solution above
% 2.84/1.18  % (903102)------------------------------
% 2.84/1.18  % (903102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.18  % (903102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.18  % (903102)CaDiCaL version: 2.1.3
% 2.84/1.18  % (903102)Termination reason: Refutation
% 2.84/1.18  % (903102)Time elapsed: 0.017 s
% 2.84/1.18  % (903102)Peak memory usage: 90 MB
% 2.84/1.18  % (903102)Instructions burned: 50 (million)
% 2.84/1.18  % (903102)------------------------------
% 2.84/1.18  % (903102)------------------------------
% 2.84/1.18  % (903091)Success in time 0.312 s
% 2.84/1.18  % Vampire exiting
%------------------------------------------------------------------------------