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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN502+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 : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:58:47 PM UTC 2026

% Result   : Theorem 3.05s 1.10s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :  134
% Syntax   : Number of formulae    :  849 (  36 unt; 133 def)
%            Number of atoms       : 6496 (   0 equ)
%            Maximal formula atoms :  747 (   7 avg)
%            Number of connectives : 8499 (2852   ~;4128   |;1035   &)
%                                         ( 133 <=>; 351  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  119 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  171 ( 170 usr; 167 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  760 (   0 sgn 760   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a234)
          & ~ c0_1(a234)
          & ~ c2_1(a234) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c0_1(a235)
          & ~ c1_1(a235)
          & ~ c2_1(a235) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a236)
          & c3_1(a236)
          & ~ c0_1(a236) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a238)
          & ~ c2_1(a238)
          & ~ c3_1(a238) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c3_1(a239)
          & ~ c1_1(a239)
          & ~ c2_1(a239) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a241)
          & c3_1(a241)
          & ~ c0_1(a241) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a242)
          & ~ c0_1(a242)
          & ~ c1_1(a242) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a244)
          & ~ c1_1(a244)
          & ~ c2_1(a244) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a245)
          & c2_1(a245)
          & ~ c1_1(a245) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c3_1(a248)
          & ~ c0_1(a248)
          & ~ c1_1(a248) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a249)
          & c3_1(a249)
          & ~ c2_1(a249) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a251)
          & ~ c1_1(a251)
          & ~ c3_1(a251) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a252)
          & ~ c1_1(a252)
          & ~ c3_1(a252) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a253)
          & ~ c0_1(a253)
          & ~ c3_1(a253) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a257)
          & c3_1(a257)
          & ~ c1_1(a257) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ c0_1(a258)
          & ~ c2_1(a258)
          & ~ c3_1(a258) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a259)
          & ~ c2_1(a259)
          & ~ c3_1(a259) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a263)
          & ~ c1_1(a263)
          & ~ c3_1(a263) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a265)
          & c2_1(a265)
          & ~ c0_1(a265) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a269)
          & c3_1(a269)
          & ~ c1_1(a269) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a271)
          & c1_1(a271)
          & ~ c2_1(a271) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a274)
          & c2_1(a274)
          & ~ c3_1(a274) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a276)
          & c1_1(a276)
          & ~ c3_1(a276) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a281)
          & c3_1(a281)
          & ~ c2_1(a281) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a282)
          & ~ c0_1(a282)
          & ~ c2_1(a282) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a294)
          & c2_1(a294)
          & ~ c3_1(a294) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c2_1(a314)
          & ~ c0_1(a314)
          & ~ c3_1(a314) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & ~ c1_1(a322)
          & ~ c2_1(a322)
          & ~ c3_1(a322) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a237)
          & c1_1(a237)
          & c2_1(a237) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a240)
          & c2_1(a240)
          & c3_1(a240) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a243)
          & c1_1(a243)
          & c3_1(a243) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a246)
          & c2_1(a246)
          & c3_1(a246) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | c3_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | ~ c3_1(X3) ) )
        | hskp1 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c3_1(X5)
              | ~ c1_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | ~ c1_1(X6)
              | ~ c3_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | ~ c1_1(X8)
              | ~ c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c0_1(X9)
              | ~ c1_1(X9)
              | ~ c3_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | ~ c0_1(X11)
              | ~ c1_1(X11) ) )
        | hskp2 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c0_1(X13)
              | ~ c1_1(X13)
              | ~ c3_1(X13) ) )
        | hskp28 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | ~ c1_1(X15)
              | ~ c3_1(X15) ) )
        | hskp3 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | c2_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | ~ c2_1(X17)
              | ~ c3_1(X17) ) )
        | hskp4 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | c2_1(X18) ) )
        | hskp29
        | hskp5 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) )
        | hskp6 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c3_1(X22)
              | ~ c0_1(X22) ) )
        | hskp30 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | ~ c0_1(X24)
              | ~ c1_1(X24) ) )
        | hskp7 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c2_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | ~ c0_1(X26)
              | ~ c2_1(X26) ) )
        | hskp8 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c2_1(X27) ) )
        | hskp31 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c2_1(X28) ) )
        | hskp31
        | hskp9 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c1_1(X29)
              | ~ c2_1(X29) ) )
        | hskp10 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c1_1(X30)
              | ~ c2_1(X30) ) )
        | hskp7
        | hskp11 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c1_1(X31)
              | ~ c3_1(X31) ) )
        | hskp12
        | hskp13 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | ~ c0_1(X34)
              | ~ c3_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | hskp11 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | c3_1(X37) ) )
        | hskp30
        | hskp9 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c3_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | ~ c1_1(X40)
              | ~ c3_1(X40) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c3_1(X42)
              | ~ c1_1(X42) ) )
        | hskp14 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c1_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | ~ c0_1(X44)
              | ~ c3_1(X44) ) )
        | hskp15 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | ~ c1_1(X46)
              | ~ c2_1(X46) ) )
        | hskp16 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp31
        | hskp14 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c2_1(X48)
              | ~ c3_1(X48) ) )
        | hskp29
        | hskp17 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c1_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c2_1(X50)
              | ~ c3_1(X50) ) )
        | hskp10 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c3_1(X51)
              | ~ c1_1(X51) ) )
        | hskp18
        | hskp9 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c3_1(X52)
              | ~ c2_1(X52) ) )
        | hskp28
        | hskp4 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c3_1(X53)
              | ~ c2_1(X53) ) )
        | hskp19
        | hskp16 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c3_1(X55)
              | ~ c0_1(X55)
              | ~ c2_1(X55) ) )
        | hskp20 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | hskp8
        | hskp13 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | c3_1(X58) ) )
        | hskp21 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) )
        | hskp11 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c3_1(X61) ) )
        | hskp22
        | hskp18 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c2_1(X63)
              | ~ c0_1(X63)
              | ~ c1_1(X63) ) )
        | hskp31 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | hskp19
        | hskp17 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | hskp23
        | hskp24 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | hskp11
        | hskp24 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | ~ c0_1(X69)
              | ~ c3_1(X69) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | ~ c2_1(X71) ) )
        | hskp20 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | ~ c1_1(X73)
              | ~ c2_1(X73) ) )
        | hskp4 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c3_1(X75) ) )
        | hskp18 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c0_1(X76) ) )
        | hskp16
        | hskp11 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | c3_1(X78)
              | ~ c1_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c3_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)
              | c3_1(X81)
              | ~ c1_1(X81) ) )
        | hskp10 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) )
        | hskp29 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c2_1(X84)
              | ~ c3_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c1_1(X85)
              | ~ c2_1(X85) ) )
        | hskp11 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | ~ c0_1(X88)
              | ~ c3_1(X88) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | hskp29 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | c3_1(X90)
              | ~ c2_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c0_1(X91)
              | ~ c3_1(X91) ) )
        | hskp25 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c3_1(X92)
              | ~ c2_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c0_1(X93)
              | ~ c2_1(X93) ) )
        | hskp5 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | c3_1(X94)
              | ~ c2_1(X94) ) )
        | hskp9
        | hskp17 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c0_1(X95)
              | ~ c3_1(X95) ) )
        | hskp10
        | hskp5 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | hskp12
        | hskp3 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c2_1(X97)
              | ~ c3_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | hskp7 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | hskp25
        | hskp5 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | c3_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | ~ c1_1(X101)
              | ~ c3_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | ~ c1_1(X102)
              | ~ c3_1(X102) ) ) )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | c3_1(X103)
              | ~ c0_1(X103) ) )
        | hskp22
        | hskp7 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | c3_1(X104)
              | ~ c1_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | ~ c0_1(X105)
              | ~ c3_1(X105) ) )
        | hskp20 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | c3_1(X106)
              | ~ c1_1(X106) ) )
        | hskp20
        | hskp2 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | c3_1(X107)
              | ~ c1_1(X107) ) )
        | hskp31
        | hskp4 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | c3_1(X108)
              | ~ c1_1(X108) ) )
        | hskp19
        | hskp15 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | ~ c1_1(X109)
              | ~ c3_1(X109) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c1_1(X110)
              | ~ c3_1(X110) ) )
        | hskp26 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c3_1(X111)
              | ~ c0_1(X111)
              | ~ c1_1(X111) ) )
        | hskp19
        | hskp29 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c3_1(X112)
              | ~ c1_1(X112)
              | ~ c2_1(X112) ) )
        | hskp31
        | hskp21 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | ~ c3_1(X113) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c2_1(X114)
              | ~ c3_1(X114) ) )
        | hskp4 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c1_1(X115)
              | ~ c3_1(X115) ) )
        | hskp4 )
      & ( ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | ~ c2_1(X116)
              | ~ c3_1(X116) ) )
        | hskp24
        | hskp27 )
      & ( hskp28
        | hskp22
        | hskp2 )
      & ( hskp22
        | hskp18
        | hskp5 )
      & ( hskp8
        | hskp19
        | hskp9 )
      & ( hskp8
        | hskp7
        | hskp15 )
      & ( hskp8
        | hskp13
        | hskp11 )
      & ( hskp8
        | hskp13
        | hskp24 )
      & ( hskp19
        | hskp18
        | hskp11 )
      & ( hskp2
        | hskp13
        | hskp14 )
      & ( hskp23
        | hskp13
        | hskp24 )
      & ( hskp5
        | hskp11
        | hskp9 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a234)
            & ~ c0_1(a234)
            & ~ c2_1(a234) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c0_1(a235)
            & ~ c1_1(a235)
            & ~ c2_1(a235) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a236)
            & c3_1(a236)
            & ~ c0_1(a236) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a238)
            & ~ c2_1(a238)
            & ~ c3_1(a238) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c3_1(a239)
            & ~ c1_1(a239)
            & ~ c2_1(a239) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a241)
            & c3_1(a241)
            & ~ c0_1(a241) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a242)
            & ~ c0_1(a242)
            & ~ c1_1(a242) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a244)
            & ~ c1_1(a244)
            & ~ c2_1(a244) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a245)
            & c2_1(a245)
            & ~ c1_1(a245) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c3_1(a248)
            & ~ c0_1(a248)
            & ~ c1_1(a248) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a249)
            & c3_1(a249)
            & ~ c2_1(a249) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a251)
            & ~ c1_1(a251)
            & ~ c3_1(a251) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a252)
            & ~ c1_1(a252)
            & ~ c3_1(a252) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a253)
            & ~ c0_1(a253)
            & ~ c3_1(a253) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a257)
            & c3_1(a257)
            & ~ c1_1(a257) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c0_1(a258)
            & ~ c2_1(a258)
            & ~ c3_1(a258) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a259)
            & ~ c2_1(a259)
            & ~ c3_1(a259) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a263)
            & ~ c1_1(a263)
            & ~ c3_1(a263) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a265)
            & c2_1(a265)
            & ~ c0_1(a265) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a269)
            & c3_1(a269)
            & ~ c1_1(a269) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a271)
            & c1_1(a271)
            & ~ c2_1(a271) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a274)
            & c2_1(a274)
            & ~ c3_1(a274) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a276)
            & c1_1(a276)
            & ~ c3_1(a276) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a281)
            & c3_1(a281)
            & ~ c2_1(a281) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a282)
            & ~ c0_1(a282)
            & ~ c2_1(a282) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a294)
            & c2_1(a294)
            & ~ c3_1(a294) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c2_1(a314)
            & ~ c0_1(a314)
            & ~ c3_1(a314) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & ~ c1_1(a322)
            & ~ c2_1(a322)
            & ~ c3_1(a322) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a237)
            & c1_1(a237)
            & c2_1(a237) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a240)
            & c2_1(a240)
            & c3_1(a240) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a243)
            & c1_1(a243)
            & c3_1(a243) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a246)
            & c2_1(a246)
            & c3_1(a246) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | c3_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | ~ c3_1(X3) ) )
          | hskp1 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c3_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | ~ c1_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | ~ c1_1(X8)
                | ~ c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | ~ c1_1(X9)
                | ~ c3_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | ~ c0_1(X11)
                | ~ c1_1(X11) ) )
          | hskp2 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | ~ c1_1(X13)
                | ~ c3_1(X13) ) )
          | hskp28 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | ~ c1_1(X15)
                | ~ c3_1(X15) ) )
          | hskp3 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c2_1(X17)
                | ~ c3_1(X17) ) )
          | hskp4 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | c2_1(X18) ) )
          | hskp29
          | hskp5 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) )
          | hskp6 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c3_1(X22)
                | ~ c0_1(X22) ) )
          | hskp30 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | ~ c0_1(X24)
                | ~ c1_1(X24) ) )
          | hskp7 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | ~ c0_1(X26)
                | ~ c2_1(X26) ) )
          | hskp8 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp31 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c2_1(X28) ) )
          | hskp31
          | hskp9 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c2_1(X29) ) )
          | hskp10 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c1_1(X30)
                | ~ c2_1(X30) ) )
          | hskp7
          | hskp11 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | hskp12
          | hskp13 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c0_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | hskp11 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | c3_1(X37) ) )
          | hskp30
          | hskp9 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c3_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | ~ c1_1(X40)
                | ~ c3_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c1_1(X42) ) )
          | hskp14 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | ~ c0_1(X44)
                | ~ c3_1(X44) ) )
          | hskp15 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c1_1(X46)
                | ~ c2_1(X46) ) )
          | hskp16 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp31
          | hskp14 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp29
          | hskp17 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c2_1(X50)
                | ~ c3_1(X50) ) )
          | hskp10 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c3_1(X51)
                | ~ c1_1(X51) ) )
          | hskp18
          | hskp9 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) )
          | hskp28
          | hskp4 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c2_1(X53) ) )
          | hskp19
          | hskp16 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | ~ c0_1(X55)
                | ~ c2_1(X55) ) )
          | hskp20 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | hskp8
          | hskp13 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | c3_1(X58) ) )
          | hskp21 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) )
          | hskp11 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c3_1(X61) ) )
          | hskp22
          | hskp18 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | ~ c0_1(X63)
                | ~ c1_1(X63) ) )
          | hskp31 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp19
          | hskp17 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp23
          | hskp24 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | hskp11
          | hskp24 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c0_1(X69)
                | ~ c3_1(X69) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | ~ c2_1(X71) ) )
          | hskp20 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | ~ c1_1(X73)
                | ~ c2_1(X73) ) )
          | hskp4 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c3_1(X75) ) )
          | hskp18 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c0_1(X76) ) )
          | hskp16
          | hskp11 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | c3_1(X78)
                | ~ c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c3_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)
                | c3_1(X81)
                | ~ c1_1(X81) ) )
          | hskp10 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) )
          | hskp29 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c2_1(X84)
                | ~ c3_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c1_1(X85)
                | ~ c2_1(X85) ) )
          | hskp11 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | ~ c0_1(X88)
                | ~ c3_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | hskp29 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c3_1(X90)
                | ~ c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c3_1(X91) ) )
          | hskp25 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c3_1(X92)
                | ~ c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c0_1(X93)
                | ~ c2_1(X93) ) )
          | hskp5 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | c3_1(X94)
                | ~ c2_1(X94) ) )
          | hskp9
          | hskp17 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c0_1(X95)
                | ~ c3_1(X95) ) )
          | hskp10
          | hskp5 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | hskp12
          | hskp3 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp7 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp25
          | hskp5 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c3_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | ~ c1_1(X101)
                | ~ c3_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c1_1(X102)
                | ~ c3_1(X102) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | c3_1(X103)
                | ~ c0_1(X103) ) )
          | hskp22
          | hskp7 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c3_1(X104)
                | ~ c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | ~ c0_1(X105)
                | ~ c3_1(X105) ) )
          | hskp20 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c3_1(X106)
                | ~ c1_1(X106) ) )
          | hskp20
          | hskp2 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c3_1(X107)
                | ~ c1_1(X107) ) )
          | hskp31
          | hskp4 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | c3_1(X108)
                | ~ c1_1(X108) ) )
          | hskp19
          | hskp15 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | ~ c1_1(X109)
                | ~ c3_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c3_1(X110) ) )
          | hskp26 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | ~ c0_1(X111)
                | ~ c1_1(X111) ) )
          | hskp19
          | hskp29 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp31
          | hskp21 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c3_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c2_1(X114)
                | ~ c3_1(X114) ) )
          | hskp4 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) )
          | hskp4 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c2_1(X116)
                | ~ c3_1(X116) ) )
          | hskp24
          | hskp27 )
        & ( hskp28
          | hskp22
          | hskp2 )
        & ( hskp22
          | hskp18
          | hskp5 )
        & ( hskp8
          | hskp19
          | hskp9 )
        & ( hskp8
          | hskp7
          | hskp15 )
        & ( hskp8
          | hskp13
          | hskp11 )
        & ( hskp8
          | hskp13
          | hskp24 )
        & ( hskp19
          | hskp18
          | hskp11 )
        & ( hskp2
          | hskp13
          | hskp14 )
        & ( hskp23
          | hskp13
          | hskp24 )
        & ( hskp5
          | hskp11
          | hskp9 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a234)
        & ~ c0_1(a234)
        & ~ c2_1(a234) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a235)
        & ~ c1_1(a235)
        & ~ c2_1(a235) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a236)
        & c3_1(a236)
        & ~ c0_1(a236) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a238)
        & ~ c2_1(a238)
        & ~ c3_1(a238) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a239)
        & ~ c1_1(a239)
        & ~ c2_1(a239) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a241)
        & c3_1(a241)
        & ~ c0_1(a241) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a242)
        & ~ c0_1(a242)
        & ~ c1_1(a242) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a244)
        & ~ c1_1(a244)
        & ~ c2_1(a244) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a245)
        & c2_1(a245)
        & ~ c1_1(a245) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a248)
        & ~ c0_1(a248)
        & ~ c1_1(a248) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a249)
        & c3_1(a249)
        & ~ c2_1(a249) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a251)
        & ~ c1_1(a251)
        & ~ c3_1(a251) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a252)
        & ~ c1_1(a252)
        & ~ c3_1(a252) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a253)
        & ~ c0_1(a253)
        & ~ c3_1(a253) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a257)
        & c3_1(a257)
        & ~ c1_1(a257) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a258)
        & ~ c2_1(a258)
        & ~ c3_1(a258) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a259)
        & ~ c2_1(a259)
        & ~ c3_1(a259) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a263)
        & ~ c1_1(a263)
        & ~ c3_1(a263) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a265)
        & c2_1(a265)
        & ~ c0_1(a265) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a269)
        & c3_1(a269)
        & ~ c1_1(a269) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a271)
        & c1_1(a271)
        & ~ c2_1(a271) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a274)
        & c2_1(a274)
        & ~ c3_1(a274) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a276)
        & c1_1(a276)
        & ~ c3_1(a276) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a281)
        & c3_1(a281)
        & ~ c2_1(a281) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a282)
        & ~ c0_1(a282)
        & ~ c2_1(a282) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a294)
        & c2_1(a294)
        & ~ c3_1(a294) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a314)
        & ~ c0_1(a314)
        & ~ c3_1(a314) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a322)
        & ~ c2_1(a322)
        & ~ c3_1(a322) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a237)
        & c1_1(a237)
        & c2_1(a237) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a240)
        & c2_1(a240)
        & c3_1(a240) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a243)
        & c1_1(a243)
        & c3_1(a243) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a246)
        & c2_1(a246)
        & c3_1(a246) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | c3_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c2_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c2_1(X3)
            | ~ c3_1(X3) ) )
      | hskp1 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c2_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c3_1(X5)
            | ~ c1_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | ~ c1_1(X6)
            | ~ c3_1(X6) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | ~ c1_1(X8)
            | ~ c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c0_1(X9)
            | ~ c1_1(X9)
            | ~ c3_1(X9) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c2_1(X11)
            | ~ c0_1(X11)
            | ~ c1_1(X11) ) )
      | hskp2 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | c2_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | ~ c1_1(X13)
            | ~ c3_1(X13) ) )
      | hskp28 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | ~ c1_1(X15)
            | ~ c3_1(X15) ) )
      | hskp3 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | ~ c2_1(X17)
            | ~ c3_1(X17) ) )
      | hskp4 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | c2_1(X18) ) )
      | hskp29
      | hskp5 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c2_1(X20)
            | c3_1(X20) ) )
      | hskp6 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | c3_1(X22)
            | ~ c0_1(X22) ) )
      | hskp30 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | ~ c0_1(X24)
            | ~ c1_1(X24) ) )
      | hskp7 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | ~ c0_1(X26)
            | ~ c2_1(X26) ) )
      | hskp8 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c2_1(X27) ) )
      | hskp31 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c2_1(X28) ) )
      | hskp31
      | hskp9 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c1_1(X29)
            | ~ c2_1(X29) ) )
      | hskp10 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c1_1(X30)
            | ~ c2_1(X30) ) )
      | hskp7
      | hskp11 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c1_1(X31)
            | ~ c3_1(X31) ) )
      | hskp12
      | hskp13 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | ~ c0_1(X34)
            | ~ c3_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c3_1(X36) ) )
      | hskp11 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | c3_1(X37) ) )
      | hskp30
      | hskp9 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c3_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c2_1(X40)
            | ~ c1_1(X40)
            | ~ c3_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c3_1(X42)
            | ~ c1_1(X42) ) )
      | hskp14 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | ~ c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | ~ c0_1(X44)
            | ~ c3_1(X44) ) )
      | hskp15 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c3_1(X46)
            | ~ c1_1(X46)
            | ~ c2_1(X46) ) )
      | hskp16 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c2_1(X47)
            | ~ c3_1(X47) ) )
      | hskp31
      | hskp14 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | c2_1(X48)
            | ~ c3_1(X48) ) )
      | hskp29
      | hskp17 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c3_1(X49)
            | ~ c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c2_1(X50)
            | ~ c3_1(X50) ) )
      | hskp10 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c3_1(X51)
            | ~ c1_1(X51) ) )
      | hskp18
      | hskp9 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | c3_1(X52)
            | ~ c2_1(X52) ) )
      | hskp28
      | hskp4 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c3_1(X53)
            | ~ c2_1(X53) ) )
      | hskp19
      | hskp16 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | ~ c0_1(X55)
            | ~ c2_1(X55) ) )
      | hskp20 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c2_1(X56) ) )
      | hskp8
      | hskp13 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c2_1(X58)
            | c3_1(X58) ) )
      | hskp21 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | ~ c1_1(X59)
            | ~ c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | ~ c2_1(X60)
            | ~ c3_1(X60) ) )
      | hskp11 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c1_1(X61)
            | ~ c3_1(X61) ) )
      | hskp22
      | hskp18 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | ~ c0_1(X63)
            | ~ c1_1(X63) ) )
      | hskp31 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | hskp19
      | hskp17 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c0_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | hskp23
      | hskp24 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c2_1(X66)
            | ~ c3_1(X66) ) )
      | hskp11
      | hskp24 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c2_1(X67)
            | c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | ~ c0_1(X69)
            | ~ c3_1(X69) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | c3_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c3_1(X71)
            | ~ c2_1(X71) ) )
      | hskp20 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | ~ c1_1(X73)
            | ~ c2_1(X73) ) )
      | hskp4 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c2_1(X75)
            | ~ c3_1(X75) ) )
      | hskp18 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | ~ c0_1(X76) ) )
      | hskp16
      | hskp11 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | ~ c3_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | c3_1(X78)
            | ~ c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c3_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)
            | c3_1(X81)
            | ~ c1_1(X81) ) )
      | hskp10 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c2_1(X82)
            | ~ c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | ~ c1_1(X83)
            | ~ c3_1(X83) ) )
      | hskp29 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | c2_1(X84)
            | ~ c3_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c1_1(X85)
            | ~ c2_1(X85) ) )
      | hskp11 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c3_1(X86)
            | ~ c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | ~ c0_1(X87)
            | ~ c3_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | ~ c0_1(X88)
            | ~ c3_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | c3_1(X89)
            | ~ c0_1(X89) ) )
      | hskp29 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | c3_1(X90)
            | ~ c2_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | ~ c0_1(X91)
            | ~ c3_1(X91) ) )
      | hskp25 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | c3_1(X92)
            | ~ c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( c3_1(X93)
            | ~ c0_1(X93)
            | ~ c2_1(X93) ) )
      | hskp5 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | c3_1(X94)
            | ~ c2_1(X94) ) )
      | hskp9
      | hskp17 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | ~ c0_1(X95)
            | ~ c3_1(X95) ) )
      | hskp10
      | hskp5 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | ~ c0_1(X96)
            | ~ c3_1(X96) ) )
      | hskp12
      | hskp3 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | ~ c2_1(X97)
            | ~ c3_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c0_1(X98)
            | ~ c1_1(X98) ) )
      | hskp7 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c1_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | hskp25
      | hskp5 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | c3_1(X100)
            | ~ c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | ~ c1_1(X101)
            | ~ c3_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | ~ c1_1(X102)
            | ~ c3_1(X102) ) ) )
    & ( ! [X103] :
          ( ndr1_0
         => ( c2_1(X103)
            | c3_1(X103)
            | ~ c0_1(X103) ) )
      | hskp22
      | hskp7 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c3_1(X104)
            | ~ c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | ~ c0_1(X105)
            | ~ c3_1(X105) ) )
      | hskp20 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c3_1(X106)
            | ~ c1_1(X106) ) )
      | hskp20
      | hskp2 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | c3_1(X107)
            | ~ c1_1(X107) ) )
      | hskp31
      | hskp4 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c2_1(X108)
            | c3_1(X108)
            | ~ c1_1(X108) ) )
      | hskp19
      | hskp15 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | ~ c1_1(X109)
            | ~ c3_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | ~ c1_1(X110)
            | ~ c3_1(X110) ) )
      | hskp26 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | ~ c0_1(X111)
            | ~ c1_1(X111) ) )
      | hskp19
      | hskp29 )
    & ( ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | ~ c1_1(X112)
            | ~ c2_1(X112) ) )
      | hskp31
      | hskp21 )
    & ( ! [X113] :
          ( ndr1_0
         => ( ~ c0_1(X113)
            | ~ c1_1(X113)
            | ~ c3_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | ~ c2_1(X114)
            | ~ c3_1(X114) ) )
      | hskp4 )
    & ( ! [X115] :
          ( ndr1_0
         => ( ~ c0_1(X115)
            | ~ c1_1(X115)
            | ~ c3_1(X115) ) )
      | hskp4 )
    & ( ! [X116] :
          ( ndr1_0
         => ( ~ c1_1(X116)
            | ~ c2_1(X116)
            | ~ c3_1(X116) ) )
      | hskp24
      | hskp27 )
    & ( hskp28
      | hskp22
      | hskp2 )
    & ( hskp22
      | hskp18
      | hskp5 )
    & ( hskp8
      | hskp19
      | hskp9 )
    & ( hskp8
      | hskp7
      | hskp15 )
    & ( hskp8
      | hskp13
      | hskp11 )
    & ( hskp8
      | hskp13
      | hskp24 )
    & ( hskp19
      | hskp18
      | hskp11 )
    & ( hskp2
      | hskp13
      | hskp14 )
    & ( hskp23
      | hskp13
      | hskp24 )
    & ( hskp5
      | hskp11
      | hskp9 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a234)
        & ~ c0_1(a234)
        & ~ c2_1(a234) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a235)
        & ~ c1_1(a235)
        & ~ c2_1(a235) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a236)
        & c3_1(a236)
        & ~ c0_1(a236) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a238)
        & ~ c2_1(a238)
        & ~ c3_1(a238) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a239)
        & ~ c1_1(a239)
        & ~ c2_1(a239) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a241)
        & c3_1(a241)
        & ~ c0_1(a241) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a242)
        & ~ c0_1(a242)
        & ~ c1_1(a242) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a244)
        & ~ c1_1(a244)
        & ~ c2_1(a244) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a245)
        & c2_1(a245)
        & ~ c1_1(a245) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a248)
        & ~ c0_1(a248)
        & ~ c1_1(a248) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a249)
        & c3_1(a249)
        & ~ c2_1(a249) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a251)
        & ~ c1_1(a251)
        & ~ c3_1(a251) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a252)
        & ~ c1_1(a252)
        & ~ c3_1(a252) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a253)
        & ~ c0_1(a253)
        & ~ c3_1(a253) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a257)
        & c3_1(a257)
        & ~ c1_1(a257) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a258)
        & ~ c2_1(a258)
        & ~ c3_1(a258) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a259)
        & ~ c2_1(a259)
        & ~ c3_1(a259) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a263)
        & ~ c1_1(a263)
        & ~ c3_1(a263) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a265)
        & c2_1(a265)
        & ~ c0_1(a265) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a269)
        & c3_1(a269)
        & ~ c1_1(a269) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a271)
        & c1_1(a271)
        & ~ c2_1(a271) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a274)
        & c2_1(a274)
        & ~ c3_1(a274) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a276)
        & c1_1(a276)
        & ~ c3_1(a276) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a281)
        & c3_1(a281)
        & ~ c2_1(a281) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a282)
        & ~ c0_1(a282)
        & ~ c2_1(a282) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a294)
        & c2_1(a294)
        & ~ c3_1(a294) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a314)
        & ~ c0_1(a314)
        & ~ c3_1(a314) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a322)
        & ~ c2_1(a322)
        & ~ c3_1(a322) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a237)
        & c1_1(a237)
        & c2_1(a237) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a240)
        & c2_1(a240)
        & c3_1(a240) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a243)
        & c1_1(a243)
        & c3_1(a243) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a246)
        & c2_1(a246)
        & c3_1(a246) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c2_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c2_1(X6)
          | ~ c1_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | ~ c1_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c0_1(X15)
          | ~ c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c3_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp31
      | hskp9 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | hskp7
      | hskp11 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | hskp30
      | hskp9 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | ~ c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | ~ c0_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | ~ c1_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp31
      | hskp14 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp29
      | hskp17 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp18
      | hskp9 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp28
      | hskp4 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp19
      | hskp16 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp8
      | hskp13 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp22
      | hskp18 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c2_1(X63)
          | ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp19
      | hskp17 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp23
      | hskp24 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp11
      | hskp24 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c1_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp16
      | hskp11 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c2_1(X78)
          | c3_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_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)
          | c3_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c2_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c3_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X94] :
          ( c1_1(X94)
          | c3_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp9
      | hskp17 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp10
      | hskp5 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp12
      | hskp3 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp25
      | hskp5 )
    & ( ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | ~ c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ c1_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( c2_1(X103)
          | c3_1(X103)
          | ~ c0_1(X103)
          | ~ ndr1_0 )
      | hskp22
      | hskp7 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | ~ c0_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | hskp20
      | hskp2 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp31
      | hskp4 )
    & ( ! [X108] :
          ( c2_1(X108)
          | c3_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | hskp19
      | hskp15 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c1_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X111] :
          ( c3_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | hskp19
      | hskp29 )
    & ( ! [X112] :
          ( c3_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp31
      | hskp21 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c0_1(X114)
          | ~ c2_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X116] :
          ( ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp24
      | hskp27 )
    & ( hskp28
      | hskp22
      | hskp2 )
    & ( hskp22
      | hskp18
      | hskp5 )
    & ( hskp8
      | hskp19
      | hskp9 )
    & ( hskp8
      | hskp7
      | hskp15 )
    & ( hskp8
      | hskp13
      | hskp11 )
    & ( hskp8
      | hskp13
      | hskp24 )
    & ( hskp19
      | hskp18
      | hskp11 )
    & ( hskp2
      | hskp13
      | hskp14 )
    & ( hskp23
      | hskp13
      | hskp24 )
    & ( hskp5
      | hskp11
      | hskp9 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a234)
        & ~ c0_1(a234)
        & ~ c2_1(a234) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a235)
        & ~ c1_1(a235)
        & ~ c2_1(a235) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a236)
        & c3_1(a236)
        & ~ c0_1(a236) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a238)
        & ~ c2_1(a238)
        & ~ c3_1(a238) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a239)
        & ~ c1_1(a239)
        & ~ c2_1(a239) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a241)
        & c3_1(a241)
        & ~ c0_1(a241) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a242)
        & ~ c0_1(a242)
        & ~ c1_1(a242) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a244)
        & ~ c1_1(a244)
        & ~ c2_1(a244) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a245)
        & c2_1(a245)
        & ~ c1_1(a245) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a248)
        & ~ c0_1(a248)
        & ~ c1_1(a248) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a249)
        & c3_1(a249)
        & ~ c2_1(a249) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a251)
        & ~ c1_1(a251)
        & ~ c3_1(a251) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a252)
        & ~ c1_1(a252)
        & ~ c3_1(a252) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a253)
        & ~ c0_1(a253)
        & ~ c3_1(a253) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a257)
        & c3_1(a257)
        & ~ c1_1(a257) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a258)
        & ~ c2_1(a258)
        & ~ c3_1(a258) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a259)
        & ~ c2_1(a259)
        & ~ c3_1(a259) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a263)
        & ~ c1_1(a263)
        & ~ c3_1(a263) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a265)
        & c2_1(a265)
        & ~ c0_1(a265) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a269)
        & c3_1(a269)
        & ~ c1_1(a269) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a271)
        & c1_1(a271)
        & ~ c2_1(a271) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a274)
        & c2_1(a274)
        & ~ c3_1(a274) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a276)
        & c1_1(a276)
        & ~ c3_1(a276) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a281)
        & c3_1(a281)
        & ~ c2_1(a281) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a282)
        & ~ c0_1(a282)
        & ~ c2_1(a282) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a294)
        & c2_1(a294)
        & ~ c3_1(a294) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a314)
        & ~ c0_1(a314)
        & ~ c3_1(a314) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & ~ c1_1(a322)
        & ~ c2_1(a322)
        & ~ c3_1(a322) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a237)
        & c1_1(a237)
        & c2_1(a237) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a240)
        & c2_1(a240)
        & c3_1(a240) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a243)
        & c1_1(a243)
        & c3_1(a243) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a246)
        & c2_1(a246)
        & c3_1(a246) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | c2_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c2_1(X6)
          | ~ c1_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c0_1(X8)
          | ~ c1_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c2_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c0_1(X15)
          | ~ c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | hskp29
      | hskp5 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c3_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | ~ c0_1(X24)
          | ~ c1_1(X24)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c3_1(X26)
          | ~ c0_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp31
      | hskp9 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c2_1(X29)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | hskp7
      | hskp11 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | hskp30
      | hskp9 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c2_1(X40)
          | ~ c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | ~ c0_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c3_1(X46)
          | ~ c1_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | hskp31
      | hskp14 )
    & ( ! [X48] :
          ( c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp29
      | hskp17 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c3_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp18
      | hskp9 )
    & ( ! [X52] :
          ( c0_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp28
      | hskp4 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c3_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp19
      | hskp16 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | hskp8
      | hskp13 )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X59] :
          ( c0_1(X59)
          | ~ c1_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c1_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp22
      | hskp18 )
    & ( ! [X62] :
          ( c0_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c2_1(X63)
          | ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp19
      | hskp17 )
    & ( ! [X65] :
          ( c0_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp23
      | hskp24 )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp11
      | hskp24 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c1_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | c3_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | hskp16
      | hskp11 )
    & ( ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c2_1(X78)
          | c3_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_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)
          | c3_1(X81)
          | ~ c1_1(X81)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c2_1(X83)
          | ~ c1_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X84] :
          ( c1_1(X84)
          | c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c2_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c1_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X90] :
          ( c1_1(X90)
          | c3_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | ~ c0_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c3_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( c3_1(X93)
          | ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X94] :
          ( c1_1(X94)
          | c3_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp9
      | hskp17 )
    & ( ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c3_1(X95)
          | ~ ndr1_0 )
      | hskp10
      | hskp5 )
    & ( ! [X96] :
          ( c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96)
          | ~ ndr1_0 )
      | hskp12
      | hskp3 )
    & ( ! [X97] :
          ( c1_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X99] :
          ( c1_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp25
      | hskp5 )
    & ( ! [X100] :
          ( c2_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c2_1(X101)
          | ~ c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c0_1(X102)
          | ~ c1_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 ) )
    & ( ! [X103] :
          ( c2_1(X103)
          | c3_1(X103)
          | ~ c0_1(X103)
          | ~ ndr1_0 )
      | hskp22
      | hskp7 )
    & ( ! [X104] :
          ( c2_1(X104)
          | c3_1(X104)
          | ~ c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c2_1(X105)
          | ~ c0_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X106] :
          ( c2_1(X106)
          | c3_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | hskp20
      | hskp2 )
    & ( ! [X107] :
          ( c2_1(X107)
          | c3_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp31
      | hskp4 )
    & ( ! [X108] :
          ( c2_1(X108)
          | c3_1(X108)
          | ~ c1_1(X108)
          | ~ ndr1_0 )
      | hskp19
      | hskp15 )
    & ( ! [X109] :
          ( c2_1(X109)
          | ~ c1_1(X109)
          | ~ c3_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X111] :
          ( c3_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | hskp19
      | hskp29 )
    & ( ! [X112] :
          ( c3_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112)
          | ~ ndr1_0 )
      | hskp31
      | hskp21 )
    & ( ! [X113] :
          ( ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c0_1(X114)
          | ~ c2_1(X114)
          | ~ c3_1(X114)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X115] :
          ( ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X116] :
          ( ~ c1_1(X116)
          | ~ c2_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0 )
      | hskp24
      | hskp27 )
    & ( hskp28
      | hskp22
      | hskp2 )
    & ( hskp22
      | hskp18
      | hskp5 )
    & ( hskp8
      | hskp19
      | hskp9 )
    & ( hskp8
      | hskp7
      | hskp15 )
    & ( hskp8
      | hskp13
      | hskp11 )
    & ( hskp8
      | hskp13
      | hskp24 )
    & ( hskp19
      | hskp18
      | hskp11 )
    & ( hskp2
      | hskp13
      | hskp14 )
    & ( hskp23
      | hskp13
      | hskp24 )
    & ( hskp5
      | hskp11
      | hskp9 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp5
    | hskp11
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp19
    | hskp18
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp8
    | hskp7
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp8
    | hskp19
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp22
    | hskp18
    | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X115] :
      ( ~ c0_1(X115)
      | ~ c1_1(X115)
      | ~ c3_1(X115)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X109,X110] :
      ( c2_1(X109)
      | ~ c1_1(X109)
      | ~ c3_1(X109)
      | ~ ndr1_0
      | ~ c0_1(X110)
      | ~ c1_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X108] :
      ( c2_1(X108)
      | c3_1(X108)
      | ~ c1_1(X108)
      | ~ ndr1_0
      | hskp19
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X107] :
      ( c2_1(X107)
      | c3_1(X107)
      | ~ c1_1(X107)
      | ~ ndr1_0
      | hskp31
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X104,X105] :
      ( c2_1(X104)
      | c3_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | c2_1(X105)
      | ~ c0_1(X105)
      | ~ c3_1(X105)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X103] :
      ( c2_1(X103)
      | c3_1(X103)
      | ~ c0_1(X103)
      | ~ ndr1_0
      | hskp22
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X101,X102,X100] :
      ( c2_1(X100)
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | c2_1(X101)
      | ~ c1_1(X101)
      | ~ c3_1(X101)
      | ~ ndr1_0
      | ~ c0_1(X102)
      | ~ c1_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X98,X97] :
      ( c1_1(X97)
      | ~ c2_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | c2_1(X98)
      | ~ c0_1(X98)
      | ~ c1_1(X98)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X96] :
      ( c1_1(X96)
      | ~ c0_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | hskp12
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X95] :
      ( c1_1(X95)
      | ~ c0_1(X95)
      | ~ c3_1(X95)
      | ~ ndr1_0
      | hskp10
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X94] :
      ( c1_1(X94)
      | c3_1(X94)
      | ~ c2_1(X94)
      | ~ ndr1_0
      | hskp9
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X92,X93] :
      ( c1_1(X92)
      | c3_1(X92)
      | ~ c2_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | ~ c0_1(X93)
      | ~ c2_1(X93)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X90,X91] :
      ( c1_1(X90)
      | c3_1(X90)
      | ~ c2_1(X90)
      | ~ ndr1_0
      | c1_1(X91)
      | ~ c0_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X89] :
      ( c1_1(X89)
      | c3_1(X89)
      | ~ c0_1(X89)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X88,X86,X87] :
      ( c1_1(X86)
      | c3_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | c1_1(X87)
      | ~ c0_1(X87)
      | ~ c3_1(X87)
      | ~ ndr1_0
      | c2_1(X88)
      | ~ c0_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | ~ c1_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | c3_1(X81)
      | ~ c1_1(X81)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X78,X79,X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | c2_1(X78)
      | c3_1(X78)
      | ~ c1_1(X78)
      | ~ ndr1_0
      | c3_1(X79)
      | ~ c1_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X76] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c0_1(X76)
      | ~ ndr1_0
      | hskp16
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c1_1(X75)
      | c2_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | c1_1(X71)
      | c3_1(X71)
      | ~ c2_1(X71)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X68,X69,X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | c1_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c1_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X66] :
      ( c0_1(X66)
      | ~ c2_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | hskp11
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X64] :
      ( c0_1(X64)
      | ~ c2_1(X64)
      | ~ c3_1(X64)
      | ~ ndr1_0
      | hskp19
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | c2_1(X63)
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c1_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X56] :
      ( c0_1(X56)
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | hskp8
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X53] :
      ( c0_1(X53)
      | c3_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | hskp19
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X52] :
      ( c0_1(X52)
      | c3_1(X52)
      | ~ c2_1(X52)
      | ~ ndr1_0
      | hskp28
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X51] :
      ( c0_1(X51)
      | c3_1(X51)
      | ~ c1_1(X51)
      | ~ ndr1_0
      | hskp18
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | c0_1(X39)
      | c3_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0
      | c2_1(X40)
      | ~ c1_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | c3_1(X35)
      | ~ ndr1_0
      | c0_1(X36)
      | c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X34,X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | c3_1(X32)
      | ~ ndr1_0
      | c0_1(X33)
      | c2_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | ~ c0_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X31] :
      ( c0_1(X31)
      | c1_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | hskp12
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X30] :
      ( c0_1(X30)
      | c1_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | hskp7
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X29] :
      ( c0_1(X29)
      | c1_1(X29)
      | ~ c2_1(X29)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp31
    | c3_1(a246) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp31
    | c2_1(a246) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp31
    | c0_1(a246) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp29
    | c3_1(a240) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp29
    | c2_1(a240) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp29
    | c1_1(a240) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp28
    | c2_1(a237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp28
    | c1_1(a237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp28
    | c0_1(a237) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp26
    | ~ c3_1(a314) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp26
    | ~ c0_1(a314) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp26
    | c2_1(a314) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp25
    | ~ c3_1(a294) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp25
    | c2_1(a294) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp25
    | c1_1(a294) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp24
    | ~ c2_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp24
    | ~ c0_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp24
    | c3_1(a282) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp22
    | ~ c3_1(a276) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp22
    | c1_1(a276) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp22
    | c0_1(a276) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp20
    | ~ c2_1(a271) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp20
    | c1_1(a271) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp20
    | c0_1(a271) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp19
    | ~ c1_1(a269) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp19
    | c3_1(a269) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp19
    | c0_1(a269) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp18
    | ~ c0_1(a265) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp18
    | c2_1(a265) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp18
    | c1_1(a265) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp17
    | ~ c3_1(a263) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp17
    | ~ c0_1(a263) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp16
    | ~ c3_1(a259) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp16
    | ~ c2_1(a259) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp16
    | c1_1(a259) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp15
    | ~ c3_1(a258) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp15
    | ~ c2_1(a258) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp15
    | ~ c0_1(a258) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp13
    | ~ c3_1(a253) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp13
    | ~ c0_1(a253) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp13
    | c1_1(a253) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp12
    | ~ c3_1(a252) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp12
    | ~ c1_1(a252) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp12
    | c0_1(a252) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp11
    | ~ c3_1(a251) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp11
    | ~ c1_1(a251) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp11
    | c2_1(a251) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ~ hskp11
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp10
    | ~ c2_1(a249) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp10
    | c3_1(a249) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp10
    | c0_1(a249) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp9
    | ~ c1_1(a248) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp9
    | ~ c0_1(a248) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp9
    | c3_1(a248) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ hskp9
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp8
    | ~ c1_1(a245) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp8
    | c2_1(a245) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp8
    | c0_1(a245) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp7
    | ~ c2_1(a244) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp7
    | ~ c1_1(a244) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp7
    | c0_1(a244) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp5
    | ~ c0_1(a241) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp5
    | c3_1(a241) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp5
    | c2_1(a241) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ hskp5
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp4
    | ~ c2_1(a239) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp4
    | ~ c1_1(a239) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp4
    | c3_1(a239) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp3
    | ~ c3_1(a238) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp3
    | ~ c2_1(a238) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp3
    | c0_1(a238) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f215,plain,
    ! [X109,X110] :
      ( c2_1(X109)
      | ~ c1_1(X109)
      | ~ c3_1(X109)
      | ~ ndr1_0
      | ~ c0_1(X110)
      | ~ c1_1(X110)
      | ~ c3_1(X110)
      | hskp26 ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f216,plain,
    ! [X104,X105] :
      ( c2_1(X104)
      | c3_1(X104)
      | ~ c1_1(X104)
      | ~ ndr1_0
      | c2_1(X105)
      | ~ c0_1(X105)
      | ~ c3_1(X105)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f217,plain,
    ! [X101,X102,X100] :
      ( c2_1(X100)
      | c3_1(X100)
      | ~ c0_1(X100)
      | ~ ndr1_0
      | c2_1(X101)
      | ~ c1_1(X101)
      | ~ c3_1(X101)
      | ~ c0_1(X102)
      | ~ c1_1(X102)
      | ~ c3_1(X102) ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f218,plain,
    ! [X98,X97] :
      ( c1_1(X97)
      | ~ c2_1(X97)
      | ~ c3_1(X97)
      | ~ ndr1_0
      | c2_1(X98)
      | ~ c0_1(X98)
      | ~ c1_1(X98)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f219,plain,
    ! [X92,X93] :
      ( c1_1(X92)
      | c3_1(X92)
      | ~ c2_1(X92)
      | ~ ndr1_0
      | c3_1(X93)
      | ~ c0_1(X93)
      | ~ c2_1(X93)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f220,plain,
    ! [X90,X91] :
      ( c1_1(X90)
      | c3_1(X90)
      | ~ c2_1(X90)
      | ~ ndr1_0
      | c1_1(X91)
      | ~ c0_1(X91)
      | ~ c3_1(X91)
      | hskp25 ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f221,plain,
    ! [X88,X86,X87] :
      ( c1_1(X86)
      | c3_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | c1_1(X87)
      | ~ c0_1(X87)
      | ~ c3_1(X87)
      | c2_1(X88)
      | ~ c0_1(X88)
      | ~ c3_1(X88) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f222,plain,
    ! [X84,X85] :
      ( c1_1(X84)
      | c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | c3_1(X85)
      | ~ c1_1(X85)
      | ~ c2_1(X85)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f224,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | c3_1(X81)
      | ~ c1_1(X81)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f225,plain,
    ! [X78,X79,X77] :
      ( c1_1(X77)
      | c2_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | c2_1(X78)
      | c3_1(X78)
      | ~ c1_1(X78)
      | c3_1(X79)
      | ~ c1_1(X79)
      | ~ c2_1(X79) ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f226,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | c1_1(X75)
      | c2_1(X75)
      | ~ c3_1(X75)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f228,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | c3_1(X70)
      | ~ ndr1_0
      | c1_1(X71)
      | c3_1(X71)
      | ~ c2_1(X71)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f229,plain,
    ! [X68,X69,X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | c1_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68)
      | c1_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69) ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f230,plain,
    ! [X62,X63] :
      ( c0_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | c2_1(X63)
      | ~ c0_1(X63)
      | ~ c1_1(X63)
      | hskp31 ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f231,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | ~ c1_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | ~ c1_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X60)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f233,plain,
    ! [X54,X55] :
      ( c0_1(X54)
      | ~ c1_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ c2_1(X55)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f234,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | c3_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f235,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c2_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ c2_1(X46)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f61]) ).

fof(f238,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | c0_1(X39)
      | c3_1(X39)
      | ~ c1_1(X39)
      | c2_1(X40)
      | ~ c1_1(X40)
      | ~ c3_1(X40) ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f239,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | c3_1(X35)
      | ~ ndr1_0
      | c0_1(X36)
      | c2_1(X36)
      | ~ c3_1(X36)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f240,plain,
    ! [X34,X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | c3_1(X32)
      | ~ ndr1_0
      | c0_1(X33)
      | c2_1(X33)
      | ~ c3_1(X33)
      | c2_1(X34)
      | ~ c0_1(X34)
      | ~ c3_1(X34) ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f254,definition,
    ( spl0_1
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f257,definition,
    ( spl0_2
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f260,definition,
    ( spl0_3
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f262,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f260,f257,f254]) ).

fof(f264,definition,
    ( spl0_4
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f267,definition,
    ( spl0_5
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f281,definition,
    ( spl0_9
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f284,definition,
    ( spl0_10
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f286,plain,
    ( spl0_2
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f9,f284,f281,f257]) ).

fof(f288,definition,
    ( spl0_11
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f293,definition,
    ( spl0_12
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f296,definition,
    ( spl0_13
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f298,plain,
    ( spl0_12
    | spl0_13
    | spl0_11 ),
    inference(avatar_split_clause,[],[f12,f288,f296,f293]) ).

fof(f299,plain,
    ( spl0_1
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f13,f288,f284,f254]) ).

fof(f301,definition,
    ( spl0_14
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f303,plain,
    ( spl0_3
    | spl0_9
    | spl0_14 ),
    inference(avatar_split_clause,[],[f14,f301,f281,f260]) ).

fof(f305,definition,
    ( spl0_15
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f312,definition,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f315,definition,
    ( spl0_18
  <=> ! [X116] :
        ( ~ c1_1(X116)
        | ~ c3_1(X116)
        | ~ c2_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f316,plain,
    ( ! [X116] :
        ( ~ c2_1(X116)
        | ~ c3_1(X116)
        | ~ c1_1(X116) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f319,definition,
    ( spl0_19
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f322,definition,
    ( spl0_20
  <=> ! [X115] :
        ( ~ c0_1(X115)
        | ~ c3_1(X115)
        | ~ c1_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f323,plain,
    ( ! [X115] :
        ( ~ c0_1(X115)
        | ~ c3_1(X115)
        | ~ c1_1(X115) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f324,plain,
    ( spl0_19
    | ~ spl0_17
    | spl0_20 ),
    inference(avatar_split_clause,[],[f17,f322,f312,f319]) ).

fof(f333,definition,
    ( spl0_23
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f336,definition,
    ( spl0_24
  <=> ! [X112] :
        ( c3_1(X112)
        | ~ c2_1(X112)
        | ~ c1_1(X112) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f337,plain,
    ( ! [X112] :
        ( ~ c2_1(X112)
        | c3_1(X112)
        | ~ c1_1(X112) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f340,definition,
    ( spl0_25
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f347,definition,
    ( spl0_27
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f350,definition,
    ( spl0_28
  <=> ! [X109] :
        ( c2_1(X109)
        | ~ c3_1(X109)
        | ~ c1_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f351,plain,
    ( ! [X109] :
        ( c2_1(X109)
        | ~ c3_1(X109)
        | ~ c1_1(X109) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f352,plain,
    ( spl0_27
    | spl0_20
    | ~ spl0_17
    | spl0_28 ),
    inference(avatar_split_clause,[],[f215,f350,f312,f322,f347]) ).

fof(f354,definition,
    ( spl0_29
  <=> ! [X108] :
        ( c2_1(X108)
        | ~ c1_1(X108)
        | c3_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f355,plain,
    ( ! [X108] :
        ( c2_1(X108)
        | ~ c1_1(X108)
        | c3_1(X108) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f354]) ).

fof(f356,plain,
    ( spl0_12
    | spl0_10
    | ~ spl0_17
    | spl0_29 ),
    inference(avatar_split_clause,[],[f22,f354,f312,f284,f293]) ).

fof(f357,plain,
    ( spl0_19
    | spl0_23
    | ~ spl0_17
    | spl0_29 ),
    inference(avatar_split_clause,[],[f23,f354,f312,f333,f319]) ).

fof(f359,definition,
    ( spl0_30
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f363,definition,
    ( spl0_31
  <=> ! [X105] :
        ( c2_1(X105)
        | ~ c3_1(X105)
        | ~ c0_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X105] :
        ( ~ c0_1(X105)
        | ~ c3_1(X105)
        | c2_1(X105) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f365,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_17
    | spl0_29 ),
    inference(avatar_split_clause,[],[f216,f354,f312,f363,f359]) ).

fof(f367,definition,
    ( spl0_32
  <=> ! [X103] :
        ( c2_1(X103)
        | ~ c0_1(X103)
        | c3_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X103] :
        ( ~ c0_1(X103)
        | c2_1(X103)
        | c3_1(X103) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_17
    | spl0_32 ),
    inference(avatar_split_clause,[],[f26,f367,f312,f301,f296]) ).

fof(f370,plain,
    ( spl0_20
    | spl0_28
    | ~ spl0_17
    | spl0_32 ),
    inference(avatar_split_clause,[],[f217,f367,f312,f350,f322]) ).

fof(f372,definition,
    ( spl0_33
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f375,definition,
    ( spl0_34
  <=> ! [X99] :
        ( c1_1(X99)
        | ~ c3_1(X99)
        | ~ c2_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X99] :
        ( ~ c2_1(X99)
        | ~ c3_1(X99)
        | c1_1(X99) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f379,definition,
    ( spl0_35
  <=> ! [X98] :
        ( c2_1(X98)
        | ~ c1_1(X98)
        | ~ c0_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f380,plain,
    ( ! [X98] :
        ( ~ c0_1(X98)
        | ~ c1_1(X98)
        | c2_1(X98) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f381,plain,
    ( spl0_13
    | spl0_35
    | ~ spl0_17
    | spl0_34 ),
    inference(avatar_split_clause,[],[f218,f375,f312,f379,f296]) ).

fof(f383,definition,
    ( spl0_36
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f386,definition,
    ( spl0_37
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f389,definition,
    ( spl0_38
  <=> ! [X96] :
        ( c1_1(X96)
        | ~ c3_1(X96)
        | ~ c0_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X96] :
        ( ~ c0_1(X96)
        | ~ c3_1(X96)
        | c1_1(X96) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f391,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_17
    | spl0_38 ),
    inference(avatar_split_clause,[],[f30,f389,f312,f386,f383]) ).

fof(f393,definition,
    ( spl0_39
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f395,plain,
    ( spl0_3
    | spl0_39
    | ~ spl0_17
    | spl0_38 ),
    inference(avatar_split_clause,[],[f31,f389,f312,f393,f260]) ).

fof(f397,definition,
    ( spl0_40
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f400,definition,
    ( spl0_41
  <=> ! [X94] :
        ( c1_1(X94)
        | ~ c2_1(X94)
        | c3_1(X94) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X94] :
        ( ~ c2_1(X94)
        | c1_1(X94)
        | c3_1(X94) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f402,plain,
    ( spl0_40
    | spl0_1
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f32,f400,f312,f254,f397]) ).

fof(f404,definition,
    ( spl0_42
  <=> ! [X93] :
        ( c3_1(X93)
        | ~ c2_1(X93)
        | ~ c0_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f405,plain,
    ( ! [X93] :
        ( ~ c0_1(X93)
        | ~ c2_1(X93)
        | c3_1(X93) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f406,plain,
    ( spl0_3
    | spl0_42
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f219,f400,f312,f404,f260]) ).

fof(f407,plain,
    ( spl0_33
    | spl0_38
    | ~ spl0_17
    | spl0_41 ),
    inference(avatar_split_clause,[],[f220,f400,f312,f389,f372]) ).

fof(f409,definition,
    ( spl0_43
  <=> ! [X89] :
        ( c1_1(X89)
        | ~ c0_1(X89)
        | c3_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f410,plain,
    ( ! [X89] :
        ( ~ c0_1(X89)
        | c1_1(X89)
        | c3_1(X89) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( spl0_25
    | ~ spl0_17
    | spl0_43 ),
    inference(avatar_split_clause,[],[f35,f409,f312,f340]) ).

fof(f412,plain,
    ( spl0_31
    | spl0_38
    | ~ spl0_17
    | spl0_43 ),
    inference(avatar_split_clause,[],[f221,f409,f312,f389,f363]) ).

fof(f414,definition,
    ( spl0_44
  <=> ! [X84] :
        ( c1_1(X84)
        | ~ c3_1(X84)
        | c2_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f415,plain,
    ( ! [X84] :
        ( c2_1(X84)
        | ~ c3_1(X84)
        | c1_1(X84) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f416,plain,
    ( spl0_2
    | spl0_24
    | ~ spl0_17
    | spl0_44 ),
    inference(avatar_split_clause,[],[f222,f414,f312,f336,f257]) ).

fof(f418,plain,
    ( spl0_39
    | spl0_29
    | ~ spl0_17
    | spl0_44 ),
    inference(avatar_split_clause,[],[f224,f414,f312,f354,f393]) ).

fof(f419,plain,
    ( spl0_24
    | spl0_29
    | ~ spl0_17
    | spl0_44 ),
    inference(avatar_split_clause,[],[f225,f414,f312,f354,f336]) ).

fof(f421,definition,
    ( spl0_45
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f424,definition,
    ( spl0_46
  <=> ! [X76] :
        ( c1_1(X76)
        | ~ c0_1(X76)
        | c2_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f425,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | c1_1(X76)
        | c2_1(X76) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f426,plain,
    ( spl0_2
    | spl0_45
    | ~ spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f41,f424,f312,f421,f257]) ).

fof(f427,plain,
    ( spl0_9
    | spl0_44
    | ~ spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f226,f424,f312,f414,f281]) ).

fof(f432,definition,
    ( spl0_48
  <=> ! [X72] :
        ( c1_1(X72)
        | c3_1(X72)
        | c2_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X72] :
        ( c2_1(X72)
        | c3_1(X72)
        | c1_1(X72) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f435,plain,
    ( spl0_30
    | spl0_41
    | ~ spl0_17
    | spl0_48 ),
    inference(avatar_split_clause,[],[f228,f432,f312,f400,f359]) ).

fof(f436,plain,
    ( spl0_38
    | spl0_46
    | ~ spl0_17
    | spl0_48 ),
    inference(avatar_split_clause,[],[f229,f432,f312,f424,f389]) ).

fof(f438,definition,
    ( spl0_49
  <=> ! [X66] :
        ( c0_1(X66)
        | ~ c3_1(X66)
        | ~ c2_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f439,plain,
    ( ! [X66] :
        ( c0_1(X66)
        | ~ c3_1(X66)
        | ~ c2_1(X66) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f440,plain,
    ( spl0_4
    | spl0_2
    | ~ spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f46,f438,f312,f257,f264]) ).

fof(f442,plain,
    ( spl0_40
    | spl0_10
    | ~ spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f48,f438,f312,f284,f397]) ).

fof(f443,plain,
    ( spl0_23
    | spl0_35
    | ~ spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f230,f438,f312,f379,f333]) ).

fof(f445,definition,
    ( spl0_50
  <=> ! [X61] :
        ( c0_1(X61)
        | ~ c3_1(X61)
        | ~ c1_1(X61) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f446,plain,
    ( ! [X61] :
        ( c0_1(X61)
        | ~ c3_1(X61)
        | ~ c1_1(X61) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f448,plain,
    ( spl0_2
    | spl0_18
    | ~ spl0_17
    | spl0_50 ),
    inference(avatar_split_clause,[],[f231,f445,f312,f315,f257]) ).

fof(f451,definition,
    ( spl0_51
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c2_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f452,plain,
    ( ! [X56] :
        ( c0_1(X56)
        | ~ c2_1(X56)
        | ~ c1_1(X56) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f453,plain,
    ( spl0_5
    | spl0_11
    | ~ spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f53,f451,f312,f288,f267]) ).

fof(f454,plain,
    ( spl0_30
    | spl0_42
    | ~ spl0_17
    | spl0_51 ),
    inference(avatar_split_clause,[],[f233,f451,f312,f404,f359]) ).

fof(f456,definition,
    ( spl0_52
  <=> ! [X53] :
        ( c0_1(X53)
        | ~ c2_1(X53)
        | c3_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f457,plain,
    ( ! [X53] :
        ( c0_1(X53)
        | ~ c2_1(X53)
        | c3_1(X53) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f458,plain,
    ( spl0_45
    | spl0_10
    | ~ spl0_17
    | spl0_52 ),
    inference(avatar_split_clause,[],[f55,f456,f312,f284,f421]) ).

fof(f459,plain,
    ( spl0_19
    | spl0_15
    | ~ spl0_17
    | spl0_52 ),
    inference(avatar_split_clause,[],[f56,f456,f312,f305,f319]) ).

fof(f461,definition,
    ( spl0_53
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c1_1(X51)
        | c3_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f462,plain,
    ( ! [X51] :
        ( c0_1(X51)
        | ~ c1_1(X51)
        | c3_1(X51) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f463,plain,
    ( spl0_1
    | spl0_9
    | ~ spl0_17
    | spl0_53 ),
    inference(avatar_split_clause,[],[f57,f461,f312,f281,f254]) ).

fof(f464,plain,
    ( spl0_39
    | spl0_49
    | ~ spl0_17
    | spl0_53 ),
    inference(avatar_split_clause,[],[f234,f461,f312,f438,f393]) ).

fof(f466,definition,
    ( spl0_54
  <=> ! [X48] :
        ( c0_1(X48)
        | ~ c3_1(X48)
        | c2_1(X48) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f467,plain,
    ( ! [X48] :
        ( c0_1(X48)
        | ~ c3_1(X48)
        | c2_1(X48) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f470,plain,
    ( spl0_45
    | spl0_24
    | ~ spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f235,f466,f312,f336,f421]) ).

fof(f472,definition,
    ( spl0_55
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c1_1(X43)
        | c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f473,plain,
    ( ! [X43] :
        ( c0_1(X43)
        | ~ c1_1(X43)
        | c2_1(X43) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f476,plain,
    ( spl0_28
    | spl0_53
    | ~ spl0_17
    | spl0_55 ),
    inference(avatar_split_clause,[],[f238,f472,f312,f461,f350]) ).

fof(f481,definition,
    ( spl0_57
  <=> ! [X37] :
        ( c0_1(X37)
        | c3_1(X37)
        | c2_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f482,plain,
    ( ! [X37] :
        ( c0_1(X37)
        | c3_1(X37)
        | c2_1(X37) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f484,plain,
    ( spl0_2
    | spl0_54
    | ~ spl0_17
    | spl0_57 ),
    inference(avatar_split_clause,[],[f239,f481,f312,f466,f257]) ).

fof(f485,plain,
    ( spl0_31
    | spl0_54
    | ~ spl0_17
    | spl0_57 ),
    inference(avatar_split_clause,[],[f240,f481,f312,f466,f363]) ).

fof(f487,definition,
    ( spl0_58
  <=> ! [X31] :
        ( c0_1(X31)
        | ~ c3_1(X31)
        | c1_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X31] :
        ( c0_1(X31)
        | ~ c3_1(X31)
        | c1_1(X31) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f489,plain,
    ( spl0_5
    | spl0_37
    | ~ spl0_17
    | spl0_58 ),
    inference(avatar_split_clause,[],[f68,f487,f312,f386,f267]) ).

fof(f491,definition,
    ( spl0_59
  <=> ! [X30] :
        ( c0_1(X30)
        | ~ c2_1(X30)
        | c1_1(X30) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f492,plain,
    ( ! [X30] :
        ( c0_1(X30)
        | ~ c2_1(X30)
        | c1_1(X30) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f493,plain,
    ( spl0_2
    | spl0_13
    | ~ spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f69,f491,f312,f296,f257]) ).

fof(f494,plain,
    ( spl0_39
    | ~ spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f70,f491,f312,f393]) ).

fof(f496,plain,
    ( spl0_23
    | ~ spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f72,f491,f312,f333]) ).

fof(f526,definition,
    ( spl0_65
  <=> c3_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f529,plain,
    ( spl0_65
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f86,f333,f526]) ).

fof(f531,definition,
    ( spl0_66
  <=> c2_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f532,plain,
    ( c2_1(a246)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f533,plain,
    ( spl0_66
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f87,f333,f531]) ).

fof(f535,definition,
    ( spl0_67
  <=> c0_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f536,plain,
    ( c0_1(a246)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f537,plain,
    ( spl0_67
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f88,f333,f535]) ).

fof(f555,definition,
    ( spl0_71
  <=> c3_1(a240) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f558,plain,
    ( spl0_71
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f94,f340,f555]) ).

fof(f560,definition,
    ( spl0_72
  <=> c2_1(a240) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f561,plain,
    ( c2_1(a240)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f562,plain,
    ( spl0_72
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f95,f340,f560]) ).

fof(f564,definition,
    ( spl0_73
  <=> c1_1(a240) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f566,plain,
    ( spl0_73
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f96,f340,f564]) ).

fof(f569,definition,
    ( spl0_74
  <=> c2_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f572,plain,
    ( spl0_74
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f98,f305,f569]) ).

fof(f574,definition,
    ( spl0_75
  <=> c1_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f576,plain,
    ( spl0_75
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f99,f305,f574]) ).

fof(f578,definition,
    ( spl0_76
  <=> c0_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f579,plain,
    ( c0_1(a237)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f580,plain,
    ( spl0_76
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f100,f305,f578]) ).

fof(f597,definition,
    ( spl0_80
  <=> c3_1(a314) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f600,plain,
    ( ~ spl0_80
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f106,f347,f597]) ).

fof(f602,definition,
    ( spl0_81
  <=> c0_1(a314) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f603,plain,
    ( ~ c0_1(a314)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f604,plain,
    ( ~ spl0_81
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f107,f347,f602]) ).

fof(f606,definition,
    ( spl0_82
  <=> c2_1(a314) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f608,plain,
    ( spl0_82
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f108,f347,f606]) ).

fof(f611,definition,
    ( spl0_83
  <=> c3_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ spl0_83
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f110,f372,f611]) ).

fof(f616,definition,
    ( spl0_84
  <=> c2_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f617,plain,
    ( c2_1(a294)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f618,plain,
    ( spl0_84
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f111,f372,f616]) ).

fof(f620,definition,
    ( spl0_85
  <=> c1_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f622,plain,
    ( spl0_85
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f112,f372,f620]) ).

fof(f625,definition,
    ( spl0_86
  <=> c2_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f626,plain,
    ( ~ c2_1(a282)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f628,plain,
    ( ~ spl0_86
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f114,f264,f625]) ).

fof(f630,definition,
    ( spl0_87
  <=> c0_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f631,plain,
    ( ~ c0_1(a282)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f632,plain,
    ( ~ spl0_87
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f115,f264,f630]) ).

fof(f634,definition,
    ( spl0_88
  <=> c3_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f636,plain,
    ( spl0_88
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f116,f264,f634]) ).

fof(f653,definition,
    ( spl0_92
  <=> c3_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f656,plain,
    ( ~ spl0_92
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f122,f301,f653]) ).

fof(f658,definition,
    ( spl0_93
  <=> c1_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f660,plain,
    ( spl0_93
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f123,f301,f658]) ).

fof(f662,definition,
    ( spl0_94
  <=> c0_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f663,plain,
    ( c0_1(a276)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f664,plain,
    ( spl0_94
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f124,f301,f662]) ).

fof(f681,definition,
    ( spl0_98
  <=> c2_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f682,plain,
    ( ~ c2_1(a271)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f684,plain,
    ( ~ spl0_98
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f130,f359,f681]) ).

fof(f686,definition,
    ( spl0_99
  <=> c1_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f688,plain,
    ( spl0_99
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f131,f359,f686]) ).

fof(f690,definition,
    ( spl0_100
  <=> c0_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f691,plain,
    ( c0_1(a271)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f692,plain,
    ( spl0_100
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f132,f359,f690]) ).

fof(f695,definition,
    ( spl0_101
  <=> c1_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f698,plain,
    ( ~ spl0_101
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f134,f284,f695]) ).

fof(f700,definition,
    ( spl0_102
  <=> c3_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f702,plain,
    ( spl0_102
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f135,f284,f700]) ).

fof(f704,definition,
    ( spl0_103
  <=> c0_1(a269) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f705,plain,
    ( c0_1(a269)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f706,plain,
    ( spl0_103
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f136,f284,f704]) ).

fof(f709,definition,
    ( spl0_104
  <=> c0_1(a265) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f710,plain,
    ( ~ c0_1(a265)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f712,plain,
    ( ~ spl0_104
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f138,f281,f709]) ).

fof(f714,definition,
    ( spl0_105
  <=> c2_1(a265) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f715,plain,
    ( c2_1(a265)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f716,plain,
    ( spl0_105
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f139,f281,f714]) ).

fof(f718,definition,
    ( spl0_106
  <=> c1_1(a265) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f720,plain,
    ( spl0_106
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f140,f281,f718]) ).

fof(f723,definition,
    ( spl0_107
  <=> c3_1(a263) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f726,plain,
    ( ~ spl0_107
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f142,f397,f723]) ).

fof(f732,definition,
    ( spl0_109
  <=> c0_1(a263) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ c0_1(a263)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f734,plain,
    ( ~ spl0_109
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f144,f397,f732]) ).

fof(f737,definition,
    ( spl0_110
  <=> c3_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f740,plain,
    ( ~ spl0_110
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f146,f421,f737]) ).

fof(f742,definition,
    ( spl0_111
  <=> c2_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f743,plain,
    ( ~ c2_1(a259)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f744,plain,
    ( ~ spl0_111
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f147,f421,f742]) ).

fof(f746,definition,
    ( spl0_112
  <=> c1_1(a259) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f748,plain,
    ( spl0_112
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f148,f421,f746]) ).

fof(f751,definition,
    ( spl0_113
  <=> c3_1(a258) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f754,plain,
    ( ~ spl0_113
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f150,f293,f751]) ).

fof(f756,definition,
    ( spl0_114
  <=> c2_1(a258) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f757,plain,
    ( ~ c2_1(a258)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f758,plain,
    ( ~ spl0_114
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f151,f293,f756]) ).

fof(f760,definition,
    ( spl0_115
  <=> c0_1(a258) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f761,plain,
    ( ~ c0_1(a258)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f762,plain,
    ( ~ spl0_115
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f152,f293,f760]) ).

fof(f779,definition,
    ( spl0_119
  <=> c3_1(a253) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f782,plain,
    ( ~ spl0_119
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f158,f267,f779]) ).

fof(f784,definition,
    ( spl0_120
  <=> c0_1(a253) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f785,plain,
    ( ~ c0_1(a253)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f786,plain,
    ( ~ spl0_120
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f159,f267,f784]) ).

fof(f788,definition,
    ( spl0_121
  <=> c1_1(a253) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f790,plain,
    ( spl0_121
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f160,f267,f788]) ).

fof(f793,definition,
    ( spl0_122
  <=> c3_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f796,plain,
    ( ~ spl0_122
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f162,f386,f793]) ).

fof(f798,definition,
    ( spl0_123
  <=> c1_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f800,plain,
    ( ~ spl0_123
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f163,f386,f798]) ).

fof(f802,definition,
    ( spl0_124
  <=> c0_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f803,plain,
    ( c0_1(a252)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f804,plain,
    ( spl0_124
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f164,f386,f802]) ).

fof(f807,definition,
    ( spl0_125
  <=> c3_1(a251) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f810,plain,
    ( ~ spl0_125
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f166,f257,f807]) ).

fof(f812,definition,
    ( spl0_126
  <=> c1_1(a251) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f814,plain,
    ( ~ spl0_126
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f167,f257,f812]) ).

fof(f816,definition,
    ( spl0_127
  <=> c2_1(a251) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f817,plain,
    ( c2_1(a251)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f818,plain,
    ( spl0_127
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f168,f257,f816]) ).

fof(f819,plain,
    ( spl0_17
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f169,f257,f312]) ).

fof(f821,definition,
    ( spl0_128
  <=> c2_1(a249) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f822,plain,
    ( ~ c2_1(a249)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f824,plain,
    ( ~ spl0_128
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f170,f393,f821]) ).

fof(f826,definition,
    ( spl0_129
  <=> c3_1(a249) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f828,plain,
    ( spl0_129
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f171,f393,f826]) ).

fof(f830,definition,
    ( spl0_130
  <=> c0_1(a249) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f831,plain,
    ( c0_1(a249)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f830]) ).

fof(f832,plain,
    ( spl0_130
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f172,f393,f830]) ).

fof(f835,definition,
    ( spl0_131
  <=> c1_1(a248) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f838,plain,
    ( ~ spl0_131
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f174,f254,f835]) ).

fof(f840,definition,
    ( spl0_132
  <=> c0_1(a248) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f841,plain,
    ( ~ c0_1(a248)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f842,plain,
    ( ~ spl0_132
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f175,f254,f840]) ).

fof(f844,definition,
    ( spl0_133
  <=> c3_1(a248) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f846,plain,
    ( spl0_133
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f176,f254,f844]) ).

fof(f847,plain,
    ( spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f177,f254,f312]) ).

fof(f849,definition,
    ( spl0_134
  <=> c1_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f852,plain,
    ( ~ spl0_134
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f178,f288,f849]) ).

fof(f854,definition,
    ( spl0_135
  <=> c2_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f855,plain,
    ( c2_1(a245)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f856,plain,
    ( spl0_135
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f179,f288,f854]) ).

fof(f858,definition,
    ( spl0_136
  <=> c0_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f859,plain,
    ( c0_1(a245)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f860,plain,
    ( spl0_136
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f180,f288,f858]) ).

fof(f863,definition,
    ( spl0_137
  <=> c2_1(a244) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f864,plain,
    ( ~ c2_1(a244)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f866,plain,
    ( ~ spl0_137
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f182,f296,f863]) ).

fof(f868,definition,
    ( spl0_138
  <=> c1_1(a244) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f870,plain,
    ( ~ spl0_138
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f183,f296,f868]) ).

fof(f872,definition,
    ( spl0_139
  <=> c0_1(a244) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f873,plain,
    ( c0_1(a244)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f874,plain,
    ( spl0_139
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f184,f296,f872]) ).

fof(f891,definition,
    ( spl0_143
  <=> c0_1(a241) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f892,plain,
    ( ~ c0_1(a241)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f894,plain,
    ( ~ spl0_143
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f190,f260,f891]) ).

fof(f896,definition,
    ( spl0_144
  <=> c3_1(a241) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f898,plain,
    ( spl0_144
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f191,f260,f896]) ).

fof(f900,definition,
    ( spl0_145
  <=> c2_1(a241) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f901,plain,
    ( c2_1(a241)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f900]) ).

fof(f902,plain,
    ( spl0_145
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f192,f260,f900]) ).

fof(f903,plain,
    ( spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f193,f260,f312]) ).

fof(f905,definition,
    ( spl0_146
  <=> c2_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f906,plain,
    ( ~ c2_1(a239)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f908,plain,
    ( ~ spl0_146
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f194,f319,f905]) ).

fof(f910,definition,
    ( spl0_147
  <=> c1_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f912,plain,
    ( ~ spl0_147
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f195,f319,f910]) ).

fof(f914,definition,
    ( spl0_148
  <=> c3_1(a239) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f916,plain,
    ( spl0_148
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f196,f319,f914]) ).

fof(f919,definition,
    ( spl0_149
  <=> c3_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f922,plain,
    ( ~ spl0_149
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f198,f383,f919]) ).

fof(f924,definition,
    ( spl0_150
  <=> c2_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ c2_1(a238)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f926,plain,
    ( ~ spl0_150
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f199,f383,f924]) ).

fof(f928,definition,
    ( spl0_151
  <=> c0_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f929,plain,
    ( c0_1(a238)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f930,plain,
    ( spl0_151
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f200,f383,f928]) ).

fof(f984,definition,
    ( spl0_161
  <=> c1_1(a258) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f999,definition,
    ( spl0_162
  <=> c1_1(a246) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1007,definition,
    ( spl0_163
  <=> c2_1(a276) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1008,plain,
    ( c2_1(a276)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f1015,definition,
    ( spl0_164
  <=> c3_1(a237) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1025,plain,
    ( ~ c3_1(a269)
    | c1_1(a269)
    | ~ spl0_38
    | ~ spl0_103 ),
    inference(resolution,[],[f390,f705]) ).

fof(f1028,plain,
    ( ~ c3_1(a246)
    | c1_1(a246)
    | ~ spl0_38
    | ~ spl0_67 ),
    inference(resolution,[],[f390,f536]) ).

fof(f1030,plain,
    ( spl0_162
    | ~ spl0_65
    | ~ spl0_38
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1028,f535,f389,f526,f999]) ).

fof(f1034,plain,
    ( spl0_101
    | ~ spl0_102
    | ~ spl0_38
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1025,f704,f389,f700,f695]) ).

fof(f1043,definition,
    ( spl0_165
  <=> c3_1(a245) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1048,definition,
    ( spl0_166
  <=> c3_1(a244) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1094,plain,
    ( ~ c2_1(a237)
    | c3_1(a237)
    | ~ spl0_42
    | ~ spl0_76 ),
    inference(resolution,[],[f405,f579]) ).

fof(f1099,plain,
    ( spl0_164
    | ~ spl0_74
    | ~ spl0_42
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1094,f578,f404,f569,f1015]) ).

fof(f1100,plain,
    ( ~ c2_1(a276)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1007]) ).

fof(f1119,plain,
    ( ~ c3_1(a282)
    | c1_1(a282)
    | ~ spl0_44
    | spl0_86 ),
    inference(resolution,[],[f415,f626]) ).

fof(f1121,definition,
    ( spl0_168
  <=> c1_1(a282) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1132,plain,
    ( ~ c1_1(a271)
    | c3_1(a271)
    | ~ spl0_29
    | spl0_98 ),
    inference(resolution,[],[f682,f355]) ).

fof(f1134,definition,
    ( spl0_169
  <=> c3_1(a271) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1156,plain,
    ( ~ c3_1(a241)
    | ~ c1_1(a241)
    | ~ spl0_18
    | ~ spl0_145 ),
    inference(resolution,[],[f316,f901]) ).

fof(f1160,plain,
    ( ~ c3_1(a265)
    | ~ c1_1(a265)
    | ~ spl0_18
    | ~ spl0_105 ),
    inference(resolution,[],[f316,f715]) ).

fof(f1164,plain,
    ( ~ c3_1(a240)
    | ~ c1_1(a240)
    | ~ spl0_18
    | ~ spl0_72 ),
    inference(resolution,[],[f316,f561]) ).

fof(f1168,plain,
    ( ~ spl0_73
    | ~ spl0_71
    | ~ spl0_18
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1164,f560,f315,f555,f564]) ).

fof(f1171,definition,
    ( spl0_170
  <=> c3_1(a265) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1173,plain,
    ( ~ spl0_106
    | ~ spl0_170
    | ~ spl0_18
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1160,f714,f315,f1171,f718]) ).

fof(f1176,definition,
    ( spl0_171
  <=> c1_1(a241) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1179,plain,
    ( ~ spl0_171
    | ~ spl0_144
    | ~ spl0_18
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1156,f900,f315,f896,f1176]) ).

fof(f1191,plain,
    ( ~ c3_1(a244)
    | c2_1(a244)
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(resolution,[],[f364,f873]) ).

fof(f1209,plain,
    ( ~ c3_1(a239)
    | c1_1(a239)
    | ~ spl0_44
    | spl0_146 ),
    inference(resolution,[],[f415,f906]) ).

fof(f1210,plain,
    ( ~ c3_1(a244)
    | c1_1(a244)
    | ~ spl0_44
    | spl0_137 ),
    inference(resolution,[],[f415,f864]) ).

fof(f1218,plain,
    ( spl0_147
    | ~ spl0_148
    | ~ spl0_44
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1209,f905,f414,f914,f910]) ).

fof(f1219,plain,
    ( spl0_169
    | ~ spl0_99
    | ~ spl0_29
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1132,f681,f354,f686,f1134]) ).

fof(f1233,plain,
    ( c1_1(a244)
    | c2_1(a244)
    | ~ spl0_46
    | ~ spl0_139 ),
    inference(resolution,[],[f425,f873]) ).

fof(f1241,plain,
    ( spl0_137
    | spl0_138
    | ~ spl0_46
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1233,f872,f424,f868,f863]) ).

fof(f1243,plain,
    ( spl0_137
    | ~ spl0_166
    | ~ spl0_31
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1191,f872,f363,f1048,f863]) ).

fof(f1244,plain,
    ( spl0_138
    | ~ spl0_166
    | ~ spl0_44
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1210,f863,f414,f1048,f868]) ).

fof(f1268,plain,
    ( c3_1(a294)
    | ~ c1_1(a294)
    | ~ spl0_24
    | ~ spl0_84 ),
    inference(resolution,[],[f337,f617]) ).

fof(f1276,plain,
    ( ~ spl0_85
    | spl0_83
    | ~ spl0_24
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1268,f616,f336,f611,f620]) ).

fof(f1297,definition,
    ( spl0_173
  <=> c1_1(a249) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1301,plain,
    ( ~ c3_1(a249)
    | ~ c1_1(a249)
    | ~ spl0_20
    | ~ spl0_130 ),
    inference(resolution,[],[f323,f831]) ).

fof(f1303,plain,
    ( ~ c3_1(a237)
    | ~ c1_1(a237)
    | ~ spl0_20
    | ~ spl0_76 ),
    inference(resolution,[],[f323,f579]) ).

fof(f1304,plain,
    ( ~ spl0_75
    | ~ spl0_164
    | ~ spl0_20
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1303,f578,f322,f1015,f574]) ).

fof(f1306,plain,
    ( ~ spl0_173
    | ~ spl0_129
    | ~ spl0_20
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1301,f830,f322,f826,f1297]) ).

fof(f1316,plain,
    ( ~ c1_1(a258)
    | c3_1(a258)
    | ~ spl0_29
    | spl0_114 ),
    inference(resolution,[],[f355,f757]) ).

fof(f1317,plain,
    ( ~ c1_1(a259)
    | c3_1(a259)
    | ~ spl0_29
    | spl0_111 ),
    inference(resolution,[],[f355,f743]) ).

fof(f1321,plain,
    ( spl0_110
    | ~ spl0_112
    | ~ spl0_29
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1317,f742,f354,f746,f737]) ).

fof(f1324,plain,
    ( c3_1(a276)
    | ~ c1_1(a276)
    | ~ spl0_24
    | ~ spl0_163 ),
    inference(resolution,[],[f1008,f337]) ).

fof(f1326,plain,
    ( ~ spl0_93
    | spl0_92
    | ~ spl0_24
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1324,f1007,f336,f653,f658]) ).

fof(f1335,plain,
    ( ~ c3_1(a245)
    | c1_1(a245)
    | ~ spl0_34
    | ~ spl0_135 ),
    inference(resolution,[],[f376,f855]) ).

fof(f1358,plain,
    ( ~ c3_1(a241)
    | ~ c2_1(a241)
    | ~ spl0_49
    | spl0_143 ),
    inference(resolution,[],[f439,f892]) ).

fof(f1363,plain,
    ( ~ c3_1(a265)
    | ~ c2_1(a265)
    | ~ spl0_49
    | spl0_104 ),
    inference(resolution,[],[f439,f710]) ).

fof(f1375,definition,
    ( spl0_174
  <=> c2_1(a248) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1380,plain,
    ( ~ spl0_145
    | ~ spl0_144
    | ~ spl0_49
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1358,f891,f438,f896,f900]) ).

fof(f1404,plain,
    ( ~ c3_1(a265)
    | ~ c1_1(a265)
    | ~ spl0_50
    | spl0_104 ),
    inference(resolution,[],[f446,f710]) ).

fof(f1436,plain,
    ( ~ c1_1(a276)
    | c2_1(a276)
    | ~ spl0_35
    | ~ spl0_94 ),
    inference(resolution,[],[f663,f380]) ).

fof(f1443,plain,
    ( spl0_163
    | ~ spl0_93
    | ~ spl0_35
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1436,f662,f379,f658,f1007]) ).

fof(f1482,plain,
    ( ~ c2_1(a265)
    | ~ c1_1(a265)
    | ~ spl0_51
    | spl0_104 ),
    inference(resolution,[],[f452,f710]) ).

fof(f1488,plain,
    ( ~ spl0_106
    | ~ spl0_105
    | ~ spl0_51
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1482,f709,f451,f714,f718]) ).

fof(f1514,plain,
    ( ~ c3_1(a246)
    | ~ c1_1(a246)
    | ~ spl0_20
    | ~ spl0_67 ),
    inference(resolution,[],[f536,f323]) ).

fof(f1515,plain,
    ( ~ spl0_162
    | ~ spl0_65
    | ~ spl0_20
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1514,f535,f322,f526,f999]) ).

fof(f1530,definition,
    ( spl0_178
  <=> c2_1(a252) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1533,plain,
    ( ~ c2_1(a245)
    | c3_1(a245)
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(resolution,[],[f405,f859]) ).

fof(f1535,plain,
    ( ~ c2_1(a252)
    | c3_1(a252)
    | ~ spl0_42
    | ~ spl0_124 ),
    inference(resolution,[],[f405,f803]) ).

fof(f1539,plain,
    ( spl0_122
    | ~ spl0_178
    | ~ spl0_42
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1535,f802,f404,f1530,f793]) ).

fof(f1541,plain,
    ( spl0_165
    | ~ spl0_135
    | ~ spl0_42
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1533,f858,f404,f854,f1043]) ).

fof(f1547,definition,
    ( spl0_179
  <=> c1_1(a238) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1553,plain,
    ( spl0_134
    | ~ spl0_165
    | ~ spl0_34
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1335,f854,f375,f1043,f849]) ).

fof(f1564,plain,
    ( c3_1(a244)
    | c1_1(a244)
    | ~ spl0_48
    | spl0_137 ),
    inference(resolution,[],[f864,f433]) ).

fof(f1567,plain,
    ( spl0_138
    | spl0_166
    | ~ spl0_48
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1564,f863,f432,f1048,f868]) ).

fof(f1573,plain,
    ( c1_1(a238)
    | c3_1(a238)
    | ~ spl0_43
    | ~ spl0_151 ),
    inference(resolution,[],[f410,f929]) ).

fof(f1574,plain,
    ( c1_1(a244)
    | c3_1(a244)
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(resolution,[],[f410,f873]) ).

fof(f1575,plain,
    ( c1_1(a245)
    | c3_1(a245)
    | ~ spl0_43
    | ~ spl0_136 ),
    inference(resolution,[],[f410,f859]) ).

fof(f1577,plain,
    ( c1_1(a252)
    | c3_1(a252)
    | ~ spl0_43
    | ~ spl0_124 ),
    inference(resolution,[],[f410,f803]) ).

fof(f1581,plain,
    ( spl0_122
    | spl0_123
    | ~ spl0_43
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1577,f802,f409,f798,f793]) ).

fof(f1582,plain,
    ( spl0_165
    | spl0_134
    | ~ spl0_43
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1575,f858,f409,f849,f1043]) ).

fof(f1583,plain,
    ( spl0_166
    | spl0_138
    | ~ spl0_43
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1574,f872,f409,f868,f1048]) ).

fof(f1584,plain,
    ( spl0_149
    | spl0_179
    | ~ spl0_43
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1573,f928,f409,f1547,f919]) ).

fof(f1588,plain,
    ( spl0_168
    | ~ spl0_88
    | ~ spl0_44
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1119,f625,f414,f634,f1121]) ).

fof(f1596,plain,
    ( ~ c3_1(a271)
    | ~ c1_1(a271)
    | ~ spl0_20
    | ~ spl0_100 ),
    inference(resolution,[],[f691,f323]) ).

fof(f1597,plain,
    ( ~ spl0_99
    | ~ spl0_169
    | ~ spl0_20
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1596,f690,f322,f1134,f686]) ).

fof(f1608,plain,
    ( c2_1(a238)
    | c3_1(a238)
    | ~ spl0_32
    | ~ spl0_151 ),
    inference(resolution,[],[f368,f929]) ).

fof(f1618,plain,
    ( spl0_149
    | spl0_150
    | ~ spl0_32
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1608,f928,f367,f924,f919]) ).

fof(f1621,plain,
    ( ~ c2_1(a276)
    | c3_1(a276)
    | ~ spl0_42
    | ~ spl0_94 ),
    inference(resolution,[],[f663,f405]) ).

fof(f1623,plain,
    ( spl0_92
    | ~ spl0_163
    | ~ spl0_42
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1621,f662,f404,f1007,f653]) ).

fof(f1631,plain,
    ( ~ c3_1(a246)
    | c1_1(a246)
    | ~ spl0_34
    | ~ spl0_66 ),
    inference(resolution,[],[f376,f532]) ).

fof(f1633,plain,
    ( spl0_162
    | ~ spl0_65
    | ~ spl0_34
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1631,f531,f375,f526,f999]) ).

fof(f1647,plain,
    ( ~ spl0_105
    | ~ spl0_170
    | ~ spl0_49
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1363,f709,f438,f1171,f714]) ).

fof(f1649,plain,
    ( ~ spl0_106
    | ~ spl0_170
    | ~ spl0_50
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1404,f709,f445,f1171,f718]) ).

fof(f1663,plain,
    ( ~ c3_1(a249)
    | ~ c1_1(a249)
    | ~ spl0_28
    | spl0_128 ),
    inference(resolution,[],[f351,f822]) ).

fof(f1673,plain,
    ( ~ spl0_173
    | ~ spl0_129
    | ~ spl0_28
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1663,f821,f350,f826,f1297]) ).

fof(f1695,plain,
    ( c3_1(a265)
    | ~ c1_1(a265)
    | ~ spl0_24
    | ~ spl0_105 ),
    inference(resolution,[],[f715,f337]) ).

fof(f1698,plain,
    ( ~ spl0_106
    | spl0_170
    | ~ spl0_24
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1695,f714,f336,f1171,f718]) ).

fof(f1706,plain,
    ( ~ c3_1(a245)
    | c1_1(a245)
    | ~ spl0_38
    | ~ spl0_136 ),
    inference(resolution,[],[f390,f859]) ).

fof(f1707,plain,
    ( ~ c3_1(a249)
    | c1_1(a249)
    | ~ spl0_38
    | ~ spl0_130 ),
    inference(resolution,[],[f390,f831]) ).

fof(f1710,plain,
    ( spl0_173
    | ~ spl0_129
    | ~ spl0_38
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1707,f830,f389,f826,f1297]) ).

fof(f1711,plain,
    ( spl0_134
    | ~ spl0_165
    | ~ spl0_38
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1706,f858,f389,f1043,f849]) ).

fof(f1717,plain,
    ( c3_1(a258)
    | c1_1(a258)
    | ~ spl0_48
    | spl0_114 ),
    inference(resolution,[],[f433,f757]) ).

fof(f1729,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_43
    | ~ spl0_52 ),
    inference(resolution,[],[f457,f410]) ).

fof(f1735,plain,
    ( ~ c2_1(a263)
    | c3_1(a263)
    | ~ spl0_52
    | spl0_109 ),
    inference(resolution,[],[f457,f733]) ).

fof(f1738,plain,
    ( ~ c2_1(a314)
    | c3_1(a314)
    | ~ spl0_52
    | spl0_81 ),
    inference(resolution,[],[f457,f603]) ).

fof(f1740,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_43
    | ~ spl0_52 ),
    inference(duplicate_literal_removal,[],[f1729]) ).

fof(f1742,plain,
    ( spl0_80
    | ~ spl0_82
    | ~ spl0_52
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1738,f602,f456,f606,f597]) ).

fof(f1746,definition,
    ( spl0_180
  <=> c2_1(a263) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1748,plain,
    ( spl0_107
    | ~ spl0_180
    | ~ spl0_52
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1735,f732,f456,f1746,f723]) ).

fof(f1751,plain,
    ( spl0_41
    | ~ spl0_43
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f1740,f456,f409,f400]) ).

fof(f1753,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_32
    | ~ spl0_53 ),
    inference(resolution,[],[f462,f368]) ).

fof(f1758,plain,
    ( ~ c1_1(a253)
    | c3_1(a253)
    | ~ spl0_53
    | spl0_120 ),
    inference(resolution,[],[f462,f785]) ).

fof(f1766,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_32
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1753]) ).

fof(f1770,plain,
    ( spl0_119
    | ~ spl0_121
    | ~ spl0_53
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1758,f784,f461,f788,f779]) ).

fof(f1771,plain,
    ( spl0_29
    | ~ spl0_32
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1766,f461,f367,f354]) ).

fof(f1773,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_38
    | ~ spl0_54 ),
    inference(resolution,[],[f467,f390]) ).

fof(f1778,plain,
    ( ~ c3_1(a248)
    | c2_1(a248)
    | ~ spl0_54
    | spl0_132 ),
    inference(resolution,[],[f467,f841]) ).

fof(f1786,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_38
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1773]) ).

fof(f1790,plain,
    ( spl0_174
    | ~ spl0_133
    | ~ spl0_54
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1778,f840,f466,f844,f1375]) ).

fof(f1793,plain,
    ( spl0_44
    | ~ spl0_38
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1786,f466,f389,f414]) ).

fof(f1797,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_32
    | ~ spl0_55 ),
    inference(resolution,[],[f473,f368]) ).

fof(f1806,plain,
    ( ~ c1_1(a282)
    | c2_1(a282)
    | ~ spl0_55
    | spl0_87 ),
    inference(resolution,[],[f473,f631]) ).

fof(f1808,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_32
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f1797]) ).

fof(f1809,plain,
    ( spl0_86
    | ~ spl0_168
    | ~ spl0_55
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1806,f630,f472,f1121,f625]) ).

fof(f1815,plain,
    ( spl0_29
    | ~ spl0_32
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1808,f472,f367,f354]) ).

fof(f1823,plain,
    ( spl0_113
    | ~ spl0_161
    | ~ spl0_29
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1316,f756,f354,f984,f751]) ).

fof(f1859,plain,
    ( c2_1(a252)
    | c3_1(a252)
    | ~ spl0_32
    | ~ spl0_124 ),
    inference(resolution,[],[f803,f368]) ).

fof(f1860,plain,
    ( spl0_122
    | spl0_178
    | ~ spl0_32
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1859,f802,f367,f1530,f793]) ).

fof(f1872,plain,
    ( ~ c3_1(a282)
    | ~ c1_1(a282)
    | ~ spl0_28
    | spl0_86 ),
    inference(resolution,[],[f351,f626]) ).

fof(f1874,plain,
    ( ~ spl0_168
    | ~ spl0_88
    | ~ spl0_28
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1872,f625,f350,f634,f1121]) ).

fof(f1877,plain,
    ( ~ c1_1(a238)
    | c3_1(a238)
    | ~ spl0_29
    | spl0_150 ),
    inference(resolution,[],[f355,f925]) ).

fof(f1881,plain,
    ( ~ c1_1(a276)
    | c3_1(a276)
    | ~ spl0_29
    | spl0_163 ),
    inference(resolution,[],[f355,f1100]) ).

fof(f1885,plain,
    ( spl0_92
    | ~ spl0_93
    | ~ spl0_29
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1881,f1007,f354,f658,f653]) ).

fof(f1887,plain,
    ( spl0_149
    | ~ spl0_179
    | ~ spl0_29
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1877,f924,f354,f1547,f919]) ).

fof(f1890,plain,
    ( ~ c3_1(a249)
    | c2_1(a249)
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(resolution,[],[f364,f831]) ).

fof(f1893,plain,
    ( ~ c3_1(a271)
    | c2_1(a271)
    | ~ spl0_31
    | ~ spl0_100 ),
    inference(resolution,[],[f364,f691]) ).

fof(f1897,plain,
    ( spl0_98
    | ~ spl0_169
    | ~ spl0_31
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1893,f690,f363,f1134,f681]) ).

fof(f1899,plain,
    ( spl0_128
    | ~ spl0_129
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1890,f830,f363,f826,f821]) ).

fof(f1905,plain,
    ( ~ c1_1(a271)
    | c2_1(a271)
    | ~ spl0_35
    | ~ spl0_100 ),
    inference(resolution,[],[f380,f691]) ).

fof(f1909,plain,
    ( spl0_98
    | ~ spl0_99
    | ~ spl0_35
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1905,f690,f379,f686,f681]) ).

fof(f1915,plain,
    ( c1_1(a251)
    | c3_1(a251)
    | ~ spl0_41
    | ~ spl0_127 ),
    inference(resolution,[],[f401,f817]) ).

fof(f1924,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_41
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1915,f816,f400,f812,f807]) ).

fof(f1927,plain,
    ( c1_1(a249)
    | c2_1(a249)
    | ~ spl0_46
    | ~ spl0_130 ),
    inference(resolution,[],[f425,f831]) ).

fof(f1936,plain,
    ( spl0_128
    | spl0_173
    | ~ spl0_46
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1927,f830,f424,f1297,f821]) ).

fof(f1942,plain,
    ( ~ c3_1(a241)
    | ~ c1_1(a241)
    | ~ spl0_50
    | spl0_143 ),
    inference(resolution,[],[f446,f892]) ).

fof(f1946,plain,
    ( ~ c3_1(a282)
    | ~ c1_1(a282)
    | ~ spl0_50
    | spl0_87 ),
    inference(resolution,[],[f446,f631]) ).

fof(f1951,plain,
    ( ~ spl0_168
    | ~ spl0_88
    | ~ spl0_50
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1946,f630,f445,f634,f1121]) ).

fof(f1952,plain,
    ( ~ spl0_171
    | ~ spl0_144
    | ~ spl0_50
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1942,f891,f445,f896,f1176]) ).

fof(f1961,plain,
    ( ~ c2_1(a241)
    | ~ c1_1(a241)
    | ~ spl0_51
    | spl0_143 ),
    inference(resolution,[],[f452,f892]) ).

fof(f1969,plain,
    ( ~ spl0_171
    | ~ spl0_145
    | ~ spl0_51
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1961,f891,f451,f900,f1176]) ).

fof(f1993,plain,
    ( c3_1(a258)
    | c2_1(a258)
    | ~ spl0_57
    | spl0_115 ),
    inference(resolution,[],[f482,f761]) ).

fof(f1994,plain,
    ( c3_1(a263)
    | c2_1(a263)
    | ~ spl0_57
    | spl0_109 ),
    inference(resolution,[],[f482,f733]) ).

fof(f2002,plain,
    ( spl0_180
    | spl0_107
    | ~ spl0_57
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1994,f732,f481,f723,f1746]) ).

fof(f2003,plain,
    ( spl0_114
    | spl0_113
    | ~ spl0_57
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1993,f760,f481,f751,f756]) ).

fof(f2011,plain,
    ( spl0_161
    | spl0_113
    | ~ spl0_48
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1717,f756,f432,f751,f984]) ).

fof(f2031,plain,
    ( ~ c3_1(a241)
    | c1_1(a241)
    | ~ spl0_58
    | spl0_143 ),
    inference(resolution,[],[f488,f892]) ).

fof(f2043,plain,
    ( spl0_171
    | ~ spl0_144
    | ~ spl0_58
    | spl0_143 ),
    inference(avatar_split_clause,[],[f2031,f891,f487,f896,f1176]) ).

fof(f2052,plain,
    ( ~ c2_1(a241)
    | c1_1(a241)
    | ~ spl0_59
    | spl0_143 ),
    inference(resolution,[],[f492,f892]) ).

fof(f2053,plain,
    ( ~ c2_1(a248)
    | c1_1(a248)
    | ~ spl0_59
    | spl0_132 ),
    inference(resolution,[],[f492,f841]) ).

fof(f2059,plain,
    ( spl0_131
    | ~ spl0_174
    | ~ spl0_59
    | spl0_132 ),
    inference(avatar_split_clause,[],[f2053,f840,f491,f1375,f835]) ).

fof(f2060,plain,
    ( spl0_171
    | ~ spl0_145
    | ~ spl0_59
    | spl0_143 ),
    inference(avatar_split_clause,[],[f2052,f891,f491,f900,f1176]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s4,plain,
    ( spl0_2
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f286]) ).

cnf(s7,plain,
    ( spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f298]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s9,plain,
    ( spl0_3
    | spl0_9
    | spl0_14 ),
    inference(sat_conversion,[],[f303]) ).

cnf(s12,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f324]) ).

cnf(s16,plain,
    ( ~ spl0_17
    | spl0_20
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s17,plain,
    ( spl0_10
    | spl0_12
    | ~ spl0_17
    | spl0_29 ),
    inference(sat_conversion,[],[f356]) ).

cnf(s18,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_23
    | spl0_29 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s20,plain,
    ( ~ spl0_17
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s21,plain,
    ( spl0_13
    | spl0_14
    | ~ spl0_17
    | spl0_32 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s22,plain,
    ( ~ spl0_17
    | spl0_20
    | spl0_28
    | spl0_32 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s24,plain,
    ( spl0_13
    | ~ spl0_17
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s25,plain,
    ( ~ spl0_17
    | spl0_36
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s26,plain,
    ( spl0_3
    | ~ spl0_17
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s27,plain,
    ( spl0_1
    | ~ spl0_17
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s28,plain,
    ( spl0_3
    | ~ spl0_17
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s29,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_38
    | spl0_41 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s30,plain,
    ( ~ spl0_17
    | spl0_25
    | spl0_43 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s31,plain,
    ( ~ spl0_17
    | spl0_31
    | spl0_38
    | spl0_43 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s32,plain,
    ( spl0_2
    | ~ spl0_17
    | spl0_24
    | spl0_44 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s34,plain,
    ( ~ spl0_17
    | spl0_29
    | spl0_39
    | spl0_44 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s35,plain,
    ( ~ spl0_17
    | spl0_24
    | spl0_29
    | spl0_44 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s36,plain,
    ( spl0_2
    | ~ spl0_17
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s37,plain,
    ( spl0_9
    | ~ spl0_17
    | spl0_44
    | spl0_46 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s39,plain,
    ( ~ spl0_17
    | spl0_30
    | spl0_41
    | spl0_48 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s40,plain,
    ( ~ spl0_17
    | spl0_38
    | spl0_46
    | spl0_48 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s41,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_17
    | spl0_49 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s43,plain,
    ( spl0_10
    | ~ spl0_17
    | spl0_40
    | spl0_49 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s44,plain,
    ( ~ spl0_17
    | spl0_23
    | spl0_35
    | spl0_49 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s46,plain,
    ( spl0_2
    | ~ spl0_17
    | spl0_18
    | spl0_50 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s48,plain,
    ( spl0_5
    | spl0_11
    | ~ spl0_17
    | spl0_51 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s49,plain,
    ( ~ spl0_17
    | spl0_30
    | spl0_42
    | spl0_51 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s50,plain,
    ( spl0_10
    | ~ spl0_17
    | spl0_45
    | spl0_52 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s51,plain,
    ( spl0_15
    | ~ spl0_17
    | spl0_19
    | spl0_52 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s52,plain,
    ( spl0_1
    | spl0_9
    | ~ spl0_17
    | spl0_53 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s53,plain,
    ( ~ spl0_17
    | spl0_39
    | spl0_49
    | spl0_53 ),
    inference(sat_conversion,[],[f464]) ).

cnf(s56,plain,
    ( ~ spl0_17
    | spl0_24
    | spl0_45
    | spl0_54 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s59,plain,
    ( ~ spl0_17
    | spl0_28
    | spl0_53
    | spl0_55 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s61,plain,
    ( spl0_2
    | ~ spl0_17
    | spl0_54
    | spl0_57 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s62,plain,
    ( ~ spl0_17
    | spl0_31
    | spl0_54
    | spl0_57 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s63,plain,
    ( spl0_5
    | ~ spl0_17
    | spl0_37
    | spl0_58 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s64,plain,
    ( spl0_2
    | spl0_13
    | ~ spl0_17
    | spl0_59 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s65,plain,
    ( ~ spl0_17
    | spl0_39
    | spl0_59 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s67,plain,
    ( ~ spl0_17
    | spl0_23
    | spl0_59 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s81,plain,
    ( ~ spl0_23
    | spl0_65 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s82,plain,
    ( ~ spl0_23
    | spl0_66 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s83,plain,
    ( ~ spl0_23
    | spl0_67 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s89,plain,
    ( ~ spl0_25
    | spl0_71 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s90,plain,
    ( ~ spl0_25
    | spl0_72 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s91,plain,
    ( ~ spl0_25
    | spl0_73 ),
    inference(sat_conversion,[],[f566]) ).

cnf(s93,plain,
    ( ~ spl0_15
    | spl0_74 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s94,plain,
    ( ~ spl0_15
    | spl0_75 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s95,plain,
    ( ~ spl0_15
    | spl0_76 ),
    inference(sat_conversion,[],[f580]) ).

cnf(s101,plain,
    ( ~ spl0_27
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s102,plain,
    ( ~ spl0_27
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s103,plain,
    ( ~ spl0_27
    | spl0_82 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s105,plain,
    ( ~ spl0_33
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s106,plain,
    ( ~ spl0_33
    | spl0_84 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s107,plain,
    ( ~ spl0_33
    | spl0_85 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s109,plain,
    ( ~ spl0_4
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s110,plain,
    ( ~ spl0_4
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s111,plain,
    ( ~ spl0_4
    | spl0_88 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s117,plain,
    ( ~ spl0_14
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s118,plain,
    ( ~ spl0_14
    | spl0_93 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s119,plain,
    ( ~ spl0_14
    | spl0_94 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s125,plain,
    ( ~ spl0_30
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s126,plain,
    ( ~ spl0_30
    | spl0_99 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s127,plain,
    ( ~ spl0_30
    | spl0_100 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s129,plain,
    ( ~ spl0_10
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s130,plain,
    ( ~ spl0_10
    | spl0_102 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s131,plain,
    ( ~ spl0_10
    | spl0_103 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s133,plain,
    ( ~ spl0_9
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s134,plain,
    ( ~ spl0_9
    | spl0_105 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s135,plain,
    ( ~ spl0_9
    | spl0_106 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s137,plain,
    ( ~ spl0_40
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s139,plain,
    ( ~ spl0_40
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s141,plain,
    ( ~ spl0_45
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s142,plain,
    ( ~ spl0_45
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s143,plain,
    ( ~ spl0_45
    | spl0_112 ),
    inference(sat_conversion,[],[f748]) ).

cnf(s145,plain,
    ( ~ spl0_12
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s146,plain,
    ( ~ spl0_12
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s147,plain,
    ( ~ spl0_12
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s153,plain,
    ( ~ spl0_5
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s154,plain,
    ( ~ spl0_5
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s155,plain,
    ( ~ spl0_5
    | spl0_121 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s157,plain,
    ( ~ spl0_37
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s158,plain,
    ( ~ spl0_37
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s159,plain,
    ( ~ spl0_37
    | spl0_124 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s161,plain,
    ( ~ spl0_2
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s162,plain,
    ( ~ spl0_2
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s163,plain,
    ( ~ spl0_2
    | spl0_127 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s164,plain,
    ( ~ spl0_2
    | spl0_17 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s165,plain,
    ( ~ spl0_39
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s166,plain,
    ( ~ spl0_39
    | spl0_129 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s167,plain,
    ( ~ spl0_39
    | spl0_130 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s169,plain,
    ( ~ spl0_1
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s170,plain,
    ( ~ spl0_1
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s171,plain,
    ( ~ spl0_1
    | spl0_133 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s172,plain,
    ( ~ spl0_1
    | spl0_17 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s173,plain,
    ( ~ spl0_11
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s174,plain,
    ( ~ spl0_11
    | spl0_135 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s175,plain,
    ( ~ spl0_11
    | spl0_136 ),
    inference(sat_conversion,[],[f860]) ).

cnf(s177,plain,
    ( ~ spl0_13
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s178,plain,
    ( ~ spl0_13
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s179,plain,
    ( ~ spl0_13
    | spl0_139 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s185,plain,
    ( ~ spl0_3
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s186,plain,
    ( ~ spl0_3
    | spl0_144 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s187,plain,
    ( ~ spl0_3
    | spl0_145 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s188,plain,
    ( ~ spl0_3
    | spl0_17 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s189,plain,
    ( ~ spl0_19
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s190,plain,
    ( ~ spl0_19
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s191,plain,
    ( ~ spl0_19
    | spl0_148 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s193,plain,
    ( ~ spl0_36
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s194,plain,
    ( ~ spl0_36
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s195,plain,
    ( ~ spl0_36
    | spl0_151 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s217,plain,
    ( ~ spl0_38
    | ~ spl0_65
    | ~ spl0_67
    | spl0_162 ),
    inference(sat_conversion,[],[f1030]) ).

cnf(s219,plain,
    ( ~ spl0_38
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s231,plain,
    ( ~ spl0_42
    | ~ spl0_74
    | ~ spl0_76
    | spl0_164 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s253,plain,
    ( ~ spl0_18
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f1168]) ).

cnf(s254,plain,
    ( ~ spl0_18
    | ~ spl0_105
    | ~ spl0_106
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1173]) ).

cnf(s256,plain,
    ( ~ spl0_18
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s260,plain,
    ( ~ spl0_44
    | spl0_146
    | spl0_147
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1218]) ).

cnf(s261,plain,
    ( ~ spl0_29
    | spl0_98
    | ~ spl0_99
    | spl0_169 ),
    inference(sat_conversion,[],[f1219]) ).

cnf(s264,plain,
    ( ~ spl0_46
    | spl0_137
    | spl0_138
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s266,plain,
    ( ~ spl0_31
    | spl0_137
    | ~ spl0_139
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1243]) ).

cnf(s267,plain,
    ( ~ spl0_44
    | spl0_137
    | spl0_138
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1244]) ).

cnf(s282,plain,
    ( ~ spl0_24
    | spl0_83
    | ~ spl0_84
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f1276]) ).

cnf(s300,plain,
    ( ~ spl0_20
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1304]) ).

cnf(s301,plain,
    ( ~ spl0_20
    | ~ spl0_129
    | ~ spl0_130
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1306]) ).

cnf(s306,plain,
    ( ~ spl0_29
    | spl0_110
    | spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1321]) ).

cnf(s309,plain,
    ( ~ spl0_24
    | spl0_92
    | ~ spl0_93
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1326]) ).

cnf(s321,plain,
    ( ~ spl0_49
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1380]) ).

cnf(s348,plain,
    ( ~ spl0_35
    | ~ spl0_93
    | ~ spl0_94
    | spl0_163 ),
    inference(sat_conversion,[],[f1443]) ).

cnf(s354,plain,
    ( ~ spl0_51
    | spl0_104
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f1488]) ).

cnf(s373,plain,
    ( ~ spl0_20
    | ~ spl0_65
    | ~ spl0_67
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1515]) ).

cnf(s376,plain,
    ( ~ spl0_42
    | spl0_122
    | ~ spl0_124
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s378,plain,
    ( ~ spl0_42
    | ~ spl0_135
    | ~ spl0_136
    | spl0_165 ),
    inference(sat_conversion,[],[f1541]) ).

cnf(s383,plain,
    ( ~ spl0_34
    | spl0_134
    | ~ spl0_135
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1553]) ).

cnf(s395,plain,
    ( ~ spl0_48
    | spl0_137
    | spl0_138
    | spl0_166 ),
    inference(sat_conversion,[],[f1567]) ).

cnf(s397,plain,
    ( ~ spl0_43
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1581]) ).

cnf(s398,plain,
    ( ~ spl0_43
    | spl0_134
    | ~ spl0_136
    | spl0_165 ),
    inference(sat_conversion,[],[f1582]) ).

cnf(s399,plain,
    ( ~ spl0_43
    | spl0_138
    | ~ spl0_139
    | spl0_166 ),
    inference(sat_conversion,[],[f1583]) ).

cnf(s400,plain,
    ( ~ spl0_43
    | spl0_149
    | ~ spl0_151
    | spl0_179 ),
    inference(sat_conversion,[],[f1584]) ).

cnf(s404,plain,
    ( ~ spl0_44
    | spl0_86
    | ~ spl0_88
    | spl0_168 ),
    inference(sat_conversion,[],[f1588]) ).

cnf(s409,plain,
    ( ~ spl0_20
    | ~ spl0_99
    | ~ spl0_100
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1597]) ).

cnf(s414,plain,
    ( ~ spl0_32
    | spl0_149
    | spl0_150
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1618]) ).

cnf(s416,plain,
    ( ~ spl0_42
    | spl0_92
    | ~ spl0_94
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1623]) ).

cnf(s417,plain,
    ( ~ spl0_34
    | ~ spl0_65
    | ~ spl0_66
    | spl0_162 ),
    inference(sat_conversion,[],[f1633]) ).

cnf(s431,plain,
    ( ~ spl0_49
    | spl0_104
    | ~ spl0_105
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1647]) ).

cnf(s433,plain,
    ( ~ spl0_50
    | spl0_104
    | ~ spl0_106
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1649]) ).

cnf(s444,plain,
    ( ~ spl0_28
    | spl0_128
    | ~ spl0_129
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1673]) ).

cnf(s463,plain,
    ( ~ spl0_24
    | ~ spl0_105
    | ~ spl0_106
    | spl0_170 ),
    inference(sat_conversion,[],[f1698]) ).

cnf(s465,plain,
    ( ~ spl0_38
    | ~ spl0_129
    | ~ spl0_130
    | spl0_173 ),
    inference(sat_conversion,[],[f1710]) ).

cnf(s466,plain,
    ( ~ spl0_38
    | spl0_134
    | ~ spl0_136
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1711]) ).

cnf(s469,plain,
    ( ~ spl0_52
    | spl0_80
    | spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f1742]) ).

cnf(s471,plain,
    ( ~ spl0_52
    | spl0_107
    | spl0_109
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1748]) ).

cnf(s473,plain,
    ( spl0_41
    | ~ spl0_43
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f1751]) ).

cnf(s477,plain,
    ( ~ spl0_53
    | spl0_119
    | spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1770]) ).

cnf(s478,plain,
    ( spl0_29
    | ~ spl0_32
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1771]) ).

cnf(s480,plain,
    ( ~ spl0_54
    | spl0_132
    | ~ spl0_133
    | spl0_174 ),
    inference(sat_conversion,[],[f1790]) ).

cnf(s482,plain,
    ( ~ spl0_38
    | spl0_44
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f1793]) ).

cnf(s484,plain,
    ( ~ spl0_55
    | spl0_86
    | spl0_87
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1809]) ).

cnf(s488,plain,
    ( spl0_29
    | ~ spl0_32
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f1815]) ).

cnf(s496,plain,
    ( ~ spl0_29
    | spl0_113
    | spl0_114
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1823]) ).

cnf(s532,plain,
    ( ~ spl0_32
    | spl0_122
    | ~ spl0_124
    | spl0_178 ),
    inference(sat_conversion,[],[f1860]) ).

cnf(s534,plain,
    ( ~ spl0_28
    | spl0_86
    | ~ spl0_88
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1874]) ).

cnf(s536,plain,
    ( ~ spl0_29
    | spl0_92
    | ~ spl0_93
    | spl0_163 ),
    inference(sat_conversion,[],[f1885]) ).

cnf(s538,plain,
    ( ~ spl0_29
    | spl0_149
    | spl0_150
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1887]) ).

cnf(s539,plain,
    ( ~ spl0_31
    | spl0_98
    | ~ spl0_100
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s541,plain,
    ( ~ spl0_31
    | spl0_128
    | ~ spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f1899]) ).

cnf(s542,plain,
    ( ~ spl0_35
    | spl0_98
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s545,plain,
    ( ~ spl0_41
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1924]) ).

cnf(s548,plain,
    ( ~ spl0_46
    | spl0_128
    | ~ spl0_130
    | spl0_173 ),
    inference(sat_conversion,[],[f1936]) ).

cnf(s550,plain,
    ( ~ spl0_50
    | spl0_87
    | ~ spl0_88
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1951]) ).

cnf(s551,plain,
    ( ~ spl0_50
    | spl0_143
    | ~ spl0_144
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1952]) ).

cnf(s554,plain,
    ( ~ spl0_51
    | spl0_143
    | ~ spl0_145
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1969]) ).

cnf(s558,plain,
    ( ~ spl0_57
    | spl0_107
    | spl0_109
    | spl0_180 ),
    inference(sat_conversion,[],[f2002]) ).

cnf(s559,plain,
    ( ~ spl0_57
    | spl0_113
    | spl0_114
    | spl0_115 ),
    inference(sat_conversion,[],[f2003]) ).

cnf(s567,plain,
    ( ~ spl0_48
    | spl0_113
    | spl0_114
    | spl0_161 ),
    inference(sat_conversion,[],[f2011]) ).

cnf(s576,plain,
    ( ~ spl0_58
    | spl0_143
    | ~ spl0_144
    | spl0_171 ),
    inference(sat_conversion,[],[f2043]) ).

cnf(s581,plain,
    ( ~ spl0_59
    | spl0_131
    | spl0_132
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2059]) ).

cnf(s582,plain,
    ( ~ spl0_59
    | spl0_143
    | ~ spl0_145
    | spl0_171 ),
    inference(sat_conversion,[],[f2060]) ).

cnf(s584,plain,
    ( ~ spl0_18
    | spl0_5
    | ~ spl0_3 ),
    inference(rat,[],[s253,s89,s90,s91,s30,s397,s157,s158,s159,s63,s576,s256,s188,s187,s186,s185]) ).

cnf(s585,plain,
    ( ~ spl0_50
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145
    | ~ spl0_17
    | spl0_2 ),
    inference(rat,[],[s433,s463,s133,s134,s135,s37,s264,s177,s178,s179,s32,s64,s404,s582,s550,s551,s111,s110,s109,s41,s321]) ).

cnf(s586,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s59,s484,s534,s404,s35,s306,s463,s141,s142,s143,s254,s36,s134,s135,s264,s52,s177,s178,s179,s477,s64,s153,s154,s155,s582,s584,s256,s46,s585,s109,s110,s111,s41,s321,s185,s186,s187,s188,s1]) ).

cnf(s588,plain,
    ( ~ spl0_45
    | ~ spl0_29 ),
    inference(rat,[],[s306,s141,s142,s143]) ).

cnf(s589,plain,
    ( ~ spl0_10
    | ~ spl0_38 ),
    inference(rat,[],[s219,s129,s130,s131]) ).

cnf(s590,plain,
    ( spl0_171
    | spl0_5
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(rat,[],[s59,s488,s478,s588,s50,s589,s469,s101,s102,s103,s22,s16,s301,s444,s465,s31,s397,s541,s157,s158,s159,s165,s166,s167,s63,s65,s576,s582,s187,s186,s185]) ).

cnf(s591,plain,
    ( spl0_31
    | spl0_43
    | ~ spl0_29
    | spl0_134
    | ~ spl0_135
    | ~ spl0_136
    | spl0_51
    | spl0_1 ),
    inference(rat,[],[s260,s189,s190,s191,s12,s409,s482,s261,s62,s125,s126,s127,s558,s49,s471,s378,s50,s466,s589,s31,s139,s137,s27,s545,s161,s162,s163,s164,s586,s588]) ).

cnf(s592,plain,
    ( ~ spl0_30
    | ~ spl0_31
    | ~ spl0_29 ),
    inference(rat,[],[s261,s539,s125,s126,s127]) ).

cnf(s593,plain,
    ( ~ spl0_39
    | ~ spl0_31 ),
    inference(rat,[],[s541,s165,s166,s167]) ).

cnf(s595,plain,
    ( ~ spl0_13
    | ~ spl0_48
    | ~ spl0_31 ),
    inference(rat,[],[s395,s266,s177,s178,s179]) ).

cnf(s596,plain,
    ( ~ spl0_14
    | ~ spl0_35
    | ~ spl0_42 ),
    inference(rat,[],[s416,s348,s117,s118,s119]) ).

cnf(s598,plain,
    ( ~ spl0_36
    | ~ spl0_32 ),
    inference(rat,[],[s414,s193,s194,s195]) ).

cnf(s599,plain,
    ( ~ spl0_31
    | ~ spl0_29
    | spl0_134
    | ~ spl0_135
    | ~ spl0_136
    | spl0_51
    | ~ spl0_2 ),
    inference(rat,[],[s532,s376,s157,s159,s25,s598,s21,s596,s24,s595,s383,s466,s378,s39,s49,s592,s164,s545,s161,s162,s163]) ).

cnf(s600,plain,
    ( ~ spl0_37
    | ~ spl0_43 ),
    inference(rat,[],[s397,s157,s158,s159]) ).

cnf(s601,plain,
    ( ~ spl0_29
    | spl0_134
    | ~ spl0_135
    | ~ spl0_136
    | spl0_51
    | spl0_1 ),
    inference(rat,[],[s400,s538,s193,s194,s195,s25,s600,s466,s398,s591,s599,s164,s586]) ).

cnf(s602,plain,
    ( ~ spl0_38
    | ~ spl0_65
    | ~ spl0_67
    | spl0_31
    | spl0_29
    | ~ spl0_17 ),
    inference(rat,[],[s482,s260,s62,s189,s190,s191,s559,s12,s145,s146,s147,s373,s17,s217,s589]) ).

cnf(s603,plain,
    ( spl0_31
    | spl0_29
    | spl0_134
    | ~ spl0_135
    | ~ spl0_136
    | spl0_49
    | ~ spl0_2 ),
    inference(rat,[],[s399,s267,s177,s178,s179,s35,s24,s282,s383,s105,s106,s107,s398,s29,s31,s602,s81,s83,s44,s542,s125,s126,s127,s20,s164,s545,s161,s162,s163]) ).

cnf(s604,plain,
    ( ~ spl0_19
    | ~ spl0_44 ),
    inference(rat,[],[s260,s189,s190,s191]) ).

cnf(s605,plain,
    ( ~ spl0_13
    | spl0_38
    | ~ spl0_31
    | ~ spl0_17 ),
    inference(rat,[],[s40,s264,s595,s177,s178,s179]) ).

cnf(s606,plain,
    ( spl0_5
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s542,s125,s126,s127,s49,s596,s21,s24,s605,s217,s417,s373,s81,s82,s83,s18,s12,s604,s478,s34,s53,s593,s603,s601,s173,s174,s175,s48,s554,s590,s164,s586,s321,s185,s186,s187]) ).

cnf(s607,plain,
    ( spl0_38
    | ~ spl0_29
    | spl0_31
    | ~ spl0_17 ),
    inference(rat,[],[s400,s538,s193,s194,s195,s25,s600,s31]) ).

cnf(s608,plain,
    ( ~ spl0_29
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s173,s601,s174,s175,s8,s589,s607,s593,s53,s321,s185,s186,s187,s354,s133,s134,s135,s52,s477,s153,s154,s155,s606,s164,s586]) ).

cnf(s609,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s267,s399,s177,s178,s179,s24,s417,s373,s12,s604,s35,s282,s105,s106,s107,s29,s31,s602,s81,s82,s83,s44,s542,s125,s126,s127,s20,s608,s593,s53,s477,s153,s154,s155,s606,s321,s185,s186,s187,s164,s545,s161,s162,s163,s586]) ).

cnf(s610,plain,
    ( ~ spl0_38
    | spl0_1 ),
    inference(rat,[],[s378,s466,s173,s174,s175,s8,s589,s28,s609,s164,s545,s161,s162,s163,s586]) ).

cnf(s611,plain,
    spl0_1,
    inference(rat,[],[s231,s300,s93,s94,s95,s51,s12,s604,s473,s35,s31,s607,s282,s593,s105,s106,s107,s26,s29,s610,s28,s609,s545,s161,s162,s163,s164,s586]) ).

cnf(s612,plain,
    spl0_17,
    inference(rat,[],[s172,s611]) ).

cnf(s613,plain,
    spl0_133,
    inference(rat,[],[s171,s611]) ).

cnf(s614,plain,
    ~ spl0_132,
    inference(rat,[],[s170,s611]) ).

cnf(s615,plain,
    ~ spl0_131,
    inference(rat,[],[s169,s611]) ).

cnf(s617,plain,
    ( ~ spl0_54
    | ~ spl0_38 ),
    inference(rat,[],[s373,s217,s81,s83,s67,s12,s581,s604,s480,s482,s613,s615,s614,s612]) ).

cnf(s618,plain,
    ( ~ spl0_40
    | ~ spl0_57
    | ~ spl0_52 ),
    inference(rat,[],[s558,s471,s137,s139]) ).

cnf(s619,plain,
    ( ~ spl0_9
    | ~ spl0_49
    | ~ spl0_24 ),
    inference(rat,[],[s431,s463,s133,s134,s135]) ).

cnf(s620,plain,
    ( ~ spl0_3
    | ~ spl0_49 ),
    inference(rat,[],[s321,s185,s186,s187]) ).

cnf(s621,plain,
    ( spl0_31
    | ~ spl0_29 ),
    inference(rat,[],[s309,s536,s117,s118,s9,s620,s619,s43,s618,s56,s62,s617,s50,s589,s607,s588,s612]) ).

cnf(s622,plain,
    ( ~ spl0_12
    | ~ spl0_48
    | ~ spl0_29 ),
    inference(rat,[],[s567,s496,s145,s146]) ).

cnf(s623,plain,
    ( spl0_143
    | ~ spl0_145
    | ~ spl0_51
    | ~ spl0_59 ),
    inference(rat,[],[s554,s582]) ).

cnf(s624,plain,
    ( ~ spl0_135
    | spl0_165
    | ~ spl0_136
    | ~ spl0_2
    | ~ spl0_29 ),
    inference(rat,[],[s185,s623,s187,s28,s378,s599,s65,s593,s173,s7,s622,s595,s39,s545,s161,s162,s163,s592,s621,s612]) ).

cnf(s625,plain,
    ( ~ spl0_2
    | ~ spl0_38
    | ~ spl0_29 ),
    inference(rat,[],[s624,s466,s175,s174,s173,s7,s622,s595,s39,s545,s161,s162,s163,s592,s621,s612]) ).

cnf(s626,plain,
    ( ~ spl0_38
    | ~ spl0_29 ),
    inference(rat,[],[s43,s618,s619,s61,s4,s625,s50,s589,s56,s480,s581,s65,s593,s621,s588,s612,s614,s613,s615]) ).

cnf(s627,plain,
    ~ spl0_29,
    inference(rat,[],[s282,s105,s106,s107,s29,s545,s161,s162,s163,s46,s256,s551,s582,s185,s186,s187,s26,s626,s56,s480,s581,s65,s593,s621,s588,s612,s613,s614,s615]) ).

cnf(s628,plain,
    ( ~ spl0_38
    | spl0_31 ),
    inference(rat,[],[s559,s145,s146,s147,s62,s17,s617,s589,s612,s627]) ).

cnf(s629,plain,
    ( ~ spl0_44
    | spl0_31 ),
    inference(rat,[],[s267,s399,s177,s178,s179,s24,s417,s373,s81,s82,s83,s18,s12,s604,s542,s126,s125,s127,s20,s31,s628,s612,s627]) ).

cnf(s630,plain,
    ( ~ spl0_33
    | ~ spl0_24 ),
    inference(rat,[],[s282,s105,s106,s107]) ).

cnf(s631,plain,
    ( ~ spl0_2
    | ~ spl0_41 ),
    inference(rat,[],[s545,s161,s162,s163]) ).

cnf(s633,plain,
    ( ~ spl0_9
    | spl0_31 ),
    inference(rat,[],[s46,s433,s254,s463,s133,s134,s135,s631,s29,s630,s35,s629,s628,s612,s627]) ).

cnf(s634,plain,
    ( spl0_38
    | spl0_31 ),
    inference(rat,[],[s22,s301,s444,s548,s37,s633,s165,s166,s167,s34,s629,s598,s25,s600,s31,s627,s612]) ).

cnf(s635,plain,
    spl0_31,
    inference(rat,[],[s634,s628]) ).

cnf(s636,plain,
    ~ spl0_39,
    inference(rat,[],[s593,s635]) ).

cnf(s637,plain,
    spl0_59,
    inference(rat,[],[s65,s612,s636]) ).

cnf(s638,plain,
    spl0_44,
    inference(rat,[],[s34,s627,s612,s636]) ).

cnf(s640,plain,
    ~ spl0_19,
    inference(rat,[],[s604,s638]) ).

cnf(s642,plain,
    spl0_20,
    inference(rat,[],[s12,s612,s640]) ).

cnf(s643,plain,
    spl0_23,
    inference(rat,[],[s18,s612,s627,s640]) ).

cnf(s644,plain,
    spl0_67,
    inference(rat,[],[s83,s643]) ).

cnf(s645,plain,
    spl0_66,
    inference(rat,[],[s82,s643]) ).

cnf(s646,plain,
    spl0_65,
    inference(rat,[],[s81,s643]) ).

cnf(s647,plain,
    ~ spl0_162,
    inference(rat,[],[s373,s642,s644,s646]) ).

cnf(s648,plain,
    ~ spl0_34,
    inference(rat,[],[s417,s646,s645,s647]) ).

cnf(s649,plain,
    ~ spl0_38,
    inference(rat,[],[s217,s646,s644,s647]) ).

cnf(s650,plain,
    ~ spl0_13,
    inference(rat,[],[s605,s612,s635,s649]) ).

cnf(s651,plain,
    spl0_3,
    inference(rat,[],[s26,s612,s636,s649]) ).

cnf(s652,plain,
    spl0_35,
    inference(rat,[],[s24,s648,s612,s650]) ).

cnf(s653,plain,
    spl0_145,
    inference(rat,[],[s187,s651]) ).

cnf(s655,plain,
    ~ spl0_143,
    inference(rat,[],[s185,s651]) ).

cnf(s656,plain,
    ~ spl0_49,
    inference(rat,[],[s620,s651]) ).

cnf(s658,plain,
    ~ spl0_51,
    inference(rat,[],[s623,s637,s653,s655]) ).

cnf(s659,plain,
    spl0_53,
    inference(rat,[],[s53,s636,s612,s656]) ).

cnf(s662,plain,
    ~ spl0_32,
    inference(rat,[],[s478,s627,s659]) ).

cnf(s665,plain,
    spl0_14,
    inference(rat,[],[s21,s612,s650,s662]) ).

cnf(s673,plain,
    ~ spl0_42,
    inference(rat,[],[s596,s652,s665]) ).

cnf(s677,plain,
    spl0_30,
    inference(rat,[],[s49,s658,s612,s673]) ).

cnf(s683,plain,
    spl0_100,
    inference(rat,[],[s127,s677]) ).

cnf(s684,plain,
    spl0_99,
    inference(rat,[],[s126,s677]) ).

cnf(s685,plain,
    ~ spl0_98,
    inference(rat,[],[s125,s677]) ).

cnf(s689,plain,
    $false,
    inference(rat,[],[s542,s652,s685,s683,s684]) ).

fof(f2062,plain,
    $false,
    inference(avatar_sat_refutation,[],[s689]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN502+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18  % Computer : n020.cluster.edu
% 0.10/0.18  % Model    : x86_64 x86_64
% 0.10/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18  % Memory   : 8046.5625MB
% 0.10/0.18  % OS       : Linux 6.8.0-71-generic
% 0.10/0.18  % CPULimit : 300
% 0.10/0.18  % WCLimit  : 300
% 0.10/0.18  % DateTime : Mon Sep 28 16:18:35 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22  Running first-order theorem proving
% 0.10/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.05/1.10  % (281061)Detected formulas, will run a generic FOF schedule.
% 3.05/1.10  % (281067)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=955139797:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.05/1.10  % (281066)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=8859498:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.05/1.10  % (281071)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3425616944:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.05/1.10  % (281070)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1389998834:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.05/1.10  % (281069)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1025141470:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.05/1.10  % (281072)dis-21_1_sil=8000:lcm=predicate:random_seed=2868128731:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.05/1.10  % (281068)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=476649230:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.05/1.10  % (281072)First to succeed.
% 3.05/1.10  % (281072)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-281061"
% 3.05/1.10  % (281071)Also succeeded, but the first one will report.
% 3.05/1.10  % (281070)Instruction limit reached! 
% 3.05/1.10  % (281070)------------------------------
% 3.05/1.10  % (281070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.10  % (281070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.10  % (281070)CaDiCaL version: 2.1.3
% 3.05/1.10  % (281070)Termination reason: Instruction limit
% 3.05/1.10  % (281070)Termination phase: Saturation
% 3.05/1.10  % (281070)Time elapsed: 0.057 s
% 3.05/1.10  % (281070)Peak memory usage: 88 MB
% 3.05/1.10  % (281070)Instructions burned: 120 (million)
% 3.05/1.10  % (281069)Also succeeded, but the first one will report.
% 3.05/1.10  % (281080)lrs+10_1_sil=8000:sp=occurrence:random_seed=3536747000:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.05/1.10  % (281080)Also succeeded, but the first one will report.
% 3.05/1.10  % (281072)Refutation found. Thanks to Tanya!
% 3.05/1.10  % SZS status Theorem for theBenchmark
% 3.05/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.30  % (281072)------------------------------
% 0.20/1.30  % (281072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30  % (281072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30  % (281072)CaDiCaL version: 2.1.3
% 0.20/1.30  % (281072)Termination reason: Refutation
% 0.20/1.30  % (281072)Time elapsed: 0.035 s
% 0.20/1.30  % (281072)Peak memory usage: 90 MB
% 0.20/1.30  % (281072)Instructions burned: 59 (million)
% 0.20/1.30  % (281072)------------------------------
% 0.20/1.30  % (281072)------------------------------
% 0.20/1.30  % (281061)Success in time 0.446 s
% 0.20/1.30  % Vampire exiting
%------------------------------------------------------------------------------