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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN486+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 01:57:11 PM UTC 2026

% Result   : Theorem 2.02s 0.72s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :  125
% Syntax   : Number of formulae    :  830 (  38 unt; 124 def)
%            Number of atoms       : 6615 (   0 equ)
%            Maximal formula atoms :  757 (   7 avg)
%            Number of connectives : 8860 (3075   ~;4291   |; 995   &)
%                                         ( 124 <=>; 375  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  161 ( 160 usr; 157 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  839 (   0 sgn 839   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a2174)
          & c2_1(a2174)
          & ~ c0_1(a2174) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a2175)
          & ~ c0_1(a2175)
          & ~ c3_1(a2175) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a2176)
          & ~ c0_1(a2176)
          & ~ c3_1(a2176) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a2177)
          & ~ c1_1(a2177)
          & ~ c3_1(a2177) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a2179)
          & c2_1(a2179)
          & ~ c3_1(a2179) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a2180)
          & c3_1(a2180)
          & ~ c1_1(a2180) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a2181)
          & c2_1(a2181)
          & ~ c3_1(a2181) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a2182)
          & c3_1(a2182)
          & ~ c0_1(a2182) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a2184)
          & c1_1(a2184)
          & ~ c3_1(a2184) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a2185)
          & ~ c0_1(a2185)
          & ~ c1_1(a2185) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c3_1(a2186)
          & ~ c0_1(a2186)
          & ~ c1_1(a2186) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a2187)
          & c2_1(a2187)
          & ~ c1_1(a2187) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a2189)
          & ~ c2_1(a2189)
          & ~ c3_1(a2189) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a2191)
          & ~ c1_1(a2191)
          & ~ c3_1(a2191) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c3_1(a2193)
          & ~ c1_1(a2193)
          & ~ c2_1(a2193) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a2194)
          & c3_1(a2194)
          & ~ c2_1(a2194) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ c1_1(a2195)
          & ~ c2_1(a2195)
          & ~ c3_1(a2195) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a2197)
          & c3_1(a2197)
          & ~ c1_1(a2197) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a2198)
          & ~ c1_1(a2198)
          & ~ c2_1(a2198) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a2211)
          & ~ c2_1(a2211)
          & ~ c3_1(a2211) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a2213)
          & c1_1(a2213)
          & ~ c2_1(a2213) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a2216)
          & ~ c2_1(a2216)
          & ~ c3_1(a2216) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c2_1(a2219)
          & ~ c1_1(a2219)
          & ~ c3_1(a2219) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c0_1(a2248)
          & ~ c1_1(a2248)
          & ~ c2_1(a2248) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a2262)
          & c3_1(a2262)
          & ~ c0_1(a2262) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a2265)
          & c3_1(a2265)
          & ~ c2_1(a2265) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a2268)
          & ~ c0_1(a2268)
          & ~ c2_1(a2268) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a2178)
          & c2_1(a2178)
          & c3_1(a2178) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a2188)
          & c1_1(a2188)
          & c2_1(a2188) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a2196)
          & c2_1(a2196)
          & c3_1(a2196) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a2208)
          & c1_1(a2208)
          & c3_1(a2208) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c3_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | ~ c2_1(X2)
              | ~ c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | ~ c0_1(X4)
              | ~ c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c3_1(X5)
              | ~ c1_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | ~ c2_1(X7)
              | ~ c3_1(X7) ) )
        | hskp0 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c3_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | ~ c1_1(X10)
              | ~ c3_1(X10) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c2_1(X12)
              | c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | ~ c0_1(X13)
              | ~ c2_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | ~ c2_1(X15)
              | ~ c3_1(X15) ) )
        | hskp1 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | ~ c2_1(X17)
              | ~ c3_1(X17) ) )
        | hskp2 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c1_1(X19) ) )
        | hskp3 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | ~ c1_1(X21)
              | ~ c2_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | ~ c1_1(X22)
              | ~ c3_1(X22) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c2_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | ~ c1_1(X24)
              | ~ c2_1(X24) ) )
        | hskp27 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c2_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | ~ c2_1(X26)
              | ~ c3_1(X26) ) )
        | hskp4 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c2_1(X27) ) )
        | hskp5
        | hskp6 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c3_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | c3_1(X30)
              | ~ c1_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c1_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c3_1(X32)
              | ~ c2_1(X32) ) )
        | hskp7 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c1_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c1_1(X34)
              | ~ c2_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | c2_1(X35)
              | c3_1(X35) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c1_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c2_1(X37)
              | ~ c1_1(X37)
              | ~ c3_1(X37) ) )
        | hskp0 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c1_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c3_1(X39)
              | ~ c0_1(X39)
              | ~ c1_1(X39) ) )
        | hskp8 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c1_1(X40)
              | ~ c3_1(X40) ) )
        | hskp9
        | hskp10 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | ~ c0_1(X42)
              | ~ c3_1(X42) ) )
        | hskp11 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | ~ c2_1(X44)
              | ~ c3_1(X44) ) )
        | hskp28 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c2_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | ~ c2_1(X46)
              | ~ c3_1(X46) ) )
        | hskp12 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | c3_1(X48)
              | ~ c2_1(X48) ) )
        | hskp10 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c2_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | c3_1(X50)
              | ~ c0_1(X50) ) )
        | hskp13 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c2_1(X51)
              | ~ c3_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | ~ c0_1(X52)
              | ~ c1_1(X52) ) )
        | hskp11 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c2_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | ~ c0_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | ~ c2_1(X55)
              | ~ c3_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | ~ c0_1(X58)
              | ~ c3_1(X58) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c3_1(X59)
              | ~ c1_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | c3_1(X60)
              | ~ c1_1(X60) ) )
        | hskp14 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | c3_1(X61)
              | ~ c1_1(X61) ) )
        | hskp15
        | hskp16 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | c3_1(X62)
              | ~ c1_1(X62) ) )
        | hskp29
        | hskp17 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | c3_1(X63)
              | ~ c2_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | ~ c0_1(X64)
              | ~ c2_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c2_1(X65)
              | ~ c0_1(X65)
              | ~ c3_1(X65) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c1_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c3_1(X67)
              | ~ c0_1(X67) ) )
        | hskp18 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | ~ c1_1(X68)
              | ~ c2_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | c3_1(X69)
              | ~ c1_1(X69) ) )
        | hskp2 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c0_1(X70)
              | ~ c1_1(X70)
              | ~ c2_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | ~ c1_1(X71)
              | ~ c3_1(X71) ) )
        | hskp27 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c0_1(X72)
              | ~ c1_1(X72)
              | ~ c2_1(X72) ) )
        | hskp15
        | hskp3 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c0_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | ~ c0_1(X75)
              | ~ c2_1(X75) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( c0_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c0_1(X77) ) )
        | hskp29 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c0_1(X78)
              | ~ c2_1(X78)
              | ~ c3_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | c3_1(X80)
              | ~ c0_1(X80) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( c0_1(X81)
              | ~ c2_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | ~ c0_1(X82)
              | ~ c1_1(X82) ) )
        | hskp16 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c0_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp2 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c2_1(X85)
              | c3_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | hskp28 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c2_1(X87)
              | c3_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c3_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | ~ c2_1(X89)
              | ~ c3_1(X89) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | c2_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | c3_1(X91)
              | ~ c2_1(X91) ) )
        | hskp2 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | c2_1(X92)
              | ~ c0_1(X92) ) )
        | hskp30
        | hskp1 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | c2_1(X93)
              | ~ c0_1(X93) ) )
        | hskp16 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | c3_1(X94)
              | ~ c0_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c0_1(X95)
              | ~ c2_1(X95) ) )
        | hskp19 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | c3_1(X96)
              | ~ c0_1(X96) ) )
        | hskp28
        | hskp20 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | c3_1(X97)
              | ~ c0_1(X97) ) )
        | hskp15
        | hskp0 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c1_1(X98)
              | c3_1(X98)
              | ~ c2_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( c3_1(X99)
              | ~ c0_1(X99)
              | ~ c1_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | ~ c1_1(X100)
              | ~ c3_1(X100) ) ) )
      & ( ! [X101] :
            ( ndr1_0
           => ( c1_1(X101)
              | ~ c0_1(X101)
              | ~ c2_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp21 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c1_1(X103)
              | ~ c0_1(X103)
              | ~ c2_1(X103) ) )
        | ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp10 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c1_1(X105)
              | ~ c0_1(X105)
              | ~ c2_1(X105) ) )
        | hskp28
        | hskp22 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c1_1(X106)
              | ~ c0_1(X106)
              | ~ c3_1(X106) ) )
        | hskp13
        | hskp16 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c1_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c2_1(X108)
              | ~ c3_1(X108) ) )
        | hskp27 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c2_1(X109)
              | c3_1(X109)
              | ~ c1_1(X109) ) )
        | hskp20
        | hskp16 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | c3_1(X110)
              | ~ c1_1(X110) ) )
        | hskp13
        | hskp16 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | ~ c0_1(X111)
              | ~ c1_1(X111) ) )
        | ! [X112] :
            ( ndr1_0
           => ( c3_1(X112)
              | ~ c0_1(X112)
              | ~ c1_1(X112) ) )
        | hskp18 )
      & ( ! [X113] :
            ( ndr1_0
           => ( c2_1(X113)
              | ~ c0_1(X113)
              | ~ c1_1(X113) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c1_1(X114)
              | ~ c2_1(X114) ) )
        | hskp12 )
      & ( ! [X115] :
            ( ndr1_0
           => ( c2_1(X115)
              | ~ c0_1(X115)
              | ~ c1_1(X115) ) )
        | hskp17
        | hskp10 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c3_1(X116)
              | ~ c0_1(X116)
              | ~ c1_1(X116) ) )
        | hskp29
        | hskp9 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c3_1(X117)
              | ~ c0_1(X117)
              | ~ c2_1(X117) ) )
        | hskp11
        | hskp10 )
      & ( ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c1_1(X118)
              | ~ c2_1(X118) ) )
        | ! [X119] :
            ( ndr1_0
           => ( ~ c0_1(X119)
              | ~ c2_1(X119)
              | ~ c3_1(X119) ) )
        | hskp7 )
      & ( ! [X120] :
            ( ndr1_0
           => ( c3_1(X120)
              | ~ c1_1(X120)
              | ~ c2_1(X120) ) )
        | hskp0
        | hskp22 )
      & ( ! [X121] :
            ( ndr1_0
           => ( ~ c0_1(X121)
              | ~ c1_1(X121)
              | ~ c3_1(X121) ) )
        | hskp27
        | hskp22 )
      & ( ! [X122] :
            ( ndr1_0
           => ( ~ c0_1(X122)
              | ~ c2_1(X122)
              | ~ c3_1(X122) ) )
        | hskp11
        | hskp1 )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c1_1(X123)
              | ~ c2_1(X123)
              | ~ c3_1(X123) ) )
        | hskp27
        | hskp16 )
      & ( ! [X124] :
            ( ndr1_0
           => ( ~ c1_1(X124)
              | ~ c2_1(X124)
              | ~ c3_1(X124) ) )
        | hskp13
        | hskp19 )
      & ( hskp8
        | hskp4
        | hskp23 )
      & ( hskp5
        | hskp2
        | hskp19 )
      & ( hskp5
        | hskp19
        | hskp16 )
      & ( hskp15
        | hskp3
        | hskp16 )
      & ( hskp13
        | hskp0
        | hskp10 )
      & ( hskp13
        | hskp24
        | hskp14 )
      & ( hskp21
        | hskp25
        | hskp22 )
      & ( hskp24
        | hskp26
        | hskp17 )
      & ( hskp24
        | hskp2
        | hskp9 )
      & ( hskp17
        | hskp3
        | hskp16 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a2174)
            & c2_1(a2174)
            & ~ c0_1(a2174) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a2175)
            & ~ c0_1(a2175)
            & ~ c3_1(a2175) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a2176)
            & ~ c0_1(a2176)
            & ~ c3_1(a2176) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a2177)
            & ~ c1_1(a2177)
            & ~ c3_1(a2177) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a2179)
            & c2_1(a2179)
            & ~ c3_1(a2179) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a2180)
            & c3_1(a2180)
            & ~ c1_1(a2180) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a2181)
            & c2_1(a2181)
            & ~ c3_1(a2181) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a2182)
            & c3_1(a2182)
            & ~ c0_1(a2182) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a2184)
            & c1_1(a2184)
            & ~ c3_1(a2184) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a2185)
            & ~ c0_1(a2185)
            & ~ c1_1(a2185) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c3_1(a2186)
            & ~ c0_1(a2186)
            & ~ c1_1(a2186) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a2187)
            & c2_1(a2187)
            & ~ c1_1(a2187) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a2189)
            & ~ c2_1(a2189)
            & ~ c3_1(a2189) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a2191)
            & ~ c1_1(a2191)
            & ~ c3_1(a2191) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c3_1(a2193)
            & ~ c1_1(a2193)
            & ~ c2_1(a2193) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a2194)
            & c3_1(a2194)
            & ~ c2_1(a2194) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & ~ c1_1(a2195)
            & ~ c2_1(a2195)
            & ~ c3_1(a2195) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a2197)
            & c3_1(a2197)
            & ~ c1_1(a2197) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a2198)
            & ~ c1_1(a2198)
            & ~ c2_1(a2198) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a2211)
            & ~ c2_1(a2211)
            & ~ c3_1(a2211) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a2213)
            & c1_1(a2213)
            & ~ c2_1(a2213) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a2216)
            & ~ c2_1(a2216)
            & ~ c3_1(a2216) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c2_1(a2219)
            & ~ c1_1(a2219)
            & ~ c3_1(a2219) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c0_1(a2248)
            & ~ c1_1(a2248)
            & ~ c2_1(a2248) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a2262)
            & c3_1(a2262)
            & ~ c0_1(a2262) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a2265)
            & c3_1(a2265)
            & ~ c2_1(a2265) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a2268)
            & ~ c0_1(a2268)
            & ~ c2_1(a2268) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a2178)
            & c2_1(a2178)
            & c3_1(a2178) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a2188)
            & c1_1(a2188)
            & c2_1(a2188) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a2196)
            & c2_1(a2196)
            & c3_1(a2196) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a2208)
            & c1_1(a2208)
            & c3_1(a2208) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c3_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c2_1(X2)
                | ~ c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c0_1(X4)
                | ~ c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c3_1(X5)
                | ~ c1_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | ~ c2_1(X7)
                | ~ c3_1(X7) ) )
          | hskp0 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c1_1(X10)
                | ~ c3_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c2_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c0_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | ~ c2_1(X15)
                | ~ c3_1(X15) ) )
          | hskp1 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | ~ c2_1(X17)
                | ~ c3_1(X17) ) )
          | hskp2 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | hskp3 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | ~ c1_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | ~ c1_1(X22)
                | ~ c3_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | ~ c1_1(X24)
                | ~ c2_1(X24) ) )
          | hskp27 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | ~ c2_1(X26)
                | ~ c3_1(X26) ) )
          | hskp4 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp5
          | hskp6 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c3_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | c3_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c3_1(X32)
                | ~ c2_1(X32) ) )
          | hskp7 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c1_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | ~ c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | c2_1(X35)
                | c3_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c1_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c2_1(X37)
                | ~ c1_1(X37)
                | ~ c3_1(X37) ) )
          | hskp0 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c1_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | ~ c0_1(X39)
                | ~ c1_1(X39) ) )
          | hskp8 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c1_1(X40)
                | ~ c3_1(X40) ) )
          | hskp9
          | hskp10 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | ~ c0_1(X42)
                | ~ c3_1(X42) ) )
          | hskp11 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | ~ c2_1(X44)
                | ~ c3_1(X44) ) )
          | hskp28 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c2_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | ~ c2_1(X46)
                | ~ c3_1(X46) ) )
          | hskp12 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | hskp10 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) )
          | hskp13 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | hskp11 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c2_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | ~ c0_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c2_1(X55)
                | ~ c3_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c0_1(X58)
                | ~ c3_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | c3_1(X60)
                | ~ c1_1(X60) ) )
          | hskp14 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | c3_1(X61)
                | ~ c1_1(X61) ) )
          | hskp15
          | hskp16 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | c3_1(X62)
                | ~ c1_1(X62) ) )
          | hskp29
          | hskp17 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | c3_1(X63)
                | ~ c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | ~ c0_1(X64)
                | ~ c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c0_1(X65)
                | ~ c3_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c1_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) )
          | hskp18 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | ~ c1_1(X68)
                | ~ c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c3_1(X69)
                | ~ c1_1(X69) ) )
          | hskp2 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c1_1(X70)
                | ~ c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c1_1(X71)
                | ~ c3_1(X71) ) )
          | hskp27 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c0_1(X72)
                | ~ c1_1(X72)
                | ~ c2_1(X72) ) )
          | hskp15
          | hskp3 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c0_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | ~ c0_1(X75)
                | ~ c2_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c0_1(X77) ) )
          | hskp29 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c0_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( c0_1(X81)
                | ~ c2_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) )
          | hskp16 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp2 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c2_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | hskp28 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c2_1(X87)
                | c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | c3_1(X91)
                | ~ c2_1(X91) ) )
          | hskp2 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | c2_1(X92)
                | ~ c0_1(X92) ) )
          | hskp30
          | hskp1 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | c2_1(X93)
                | ~ c0_1(X93) ) )
          | hskp16 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | c3_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c0_1(X95)
                | ~ c2_1(X95) ) )
          | hskp19 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | c3_1(X96)
                | ~ c0_1(X96) ) )
          | hskp28
          | hskp20 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | c3_1(X97)
                | ~ c0_1(X97) ) )
          | hskp15
          | hskp0 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c1_1(X98)
                | c3_1(X98)
                | ~ c2_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | ~ c1_1(X100)
                | ~ c3_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( c1_1(X101)
                | ~ c0_1(X101)
                | ~ c2_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp21 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c1_1(X103)
                | ~ c0_1(X103)
                | ~ c2_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp10 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c1_1(X105)
                | ~ c0_1(X105)
                | ~ c2_1(X105) ) )
          | hskp28
          | hskp22 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c1_1(X106)
                | ~ c0_1(X106)
                | ~ c3_1(X106) ) )
          | hskp13
          | hskp16 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c1_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c2_1(X108)
                | ~ c3_1(X108) ) )
          | hskp27 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c2_1(X109)
                | c3_1(X109)
                | ~ c1_1(X109) ) )
          | hskp20
          | hskp16 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c3_1(X110)
                | ~ c1_1(X110) ) )
          | hskp13
          | hskp16 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | ~ c0_1(X111)
                | ~ c1_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | ~ c0_1(X112)
                | ~ c1_1(X112) ) )
          | hskp18 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | ~ c0_1(X113)
                | ~ c1_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c1_1(X114)
                | ~ c2_1(X114) ) )
          | hskp12 )
        & ( ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | ~ c0_1(X115)
                | ~ c1_1(X115) ) )
          | hskp17
          | hskp10 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | ~ c0_1(X116)
                | ~ c1_1(X116) ) )
          | hskp29
          | hskp9 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | ~ c0_1(X117)
                | ~ c2_1(X117) ) )
          | hskp11
          | hskp10 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c1_1(X118)
                | ~ c2_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c0_1(X119)
                | ~ c2_1(X119)
                | ~ c3_1(X119) ) )
          | hskp7 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c1_1(X120)
                | ~ c2_1(X120) ) )
          | hskp0
          | hskp22 )
        & ( ! [X121] :
              ( ndr1_0
             => ( ~ c0_1(X121)
                | ~ c1_1(X121)
                | ~ c3_1(X121) ) )
          | hskp27
          | hskp22 )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c2_1(X122)
                | ~ c3_1(X122) ) )
          | hskp11
          | hskp1 )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c1_1(X123)
                | ~ c2_1(X123)
                | ~ c3_1(X123) ) )
          | hskp27
          | hskp16 )
        & ( ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | ~ c2_1(X124)
                | ~ c3_1(X124) ) )
          | hskp13
          | hskp19 )
        & ( hskp8
          | hskp4
          | hskp23 )
        & ( hskp5
          | hskp2
          | hskp19 )
        & ( hskp5
          | hskp19
          | hskp16 )
        & ( hskp15
          | hskp3
          | hskp16 )
        & ( hskp13
          | hskp0
          | hskp10 )
        & ( hskp13
          | hskp24
          | hskp14 )
        & ( hskp21
          | hskp25
          | hskp22 )
        & ( hskp24
          | hskp26
          | hskp17 )
        & ( hskp24
          | hskp2
          | hskp9 )
        & ( hskp17
          | hskp3
          | hskp16 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a2174)
        & c2_1(a2174)
        & ~ c0_1(a2174) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2175)
        & ~ c0_1(a2175)
        & ~ c3_1(a2175) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2176)
        & ~ c0_1(a2176)
        & ~ c3_1(a2176) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2177)
        & ~ c1_1(a2177)
        & ~ c3_1(a2177) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2179)
        & c2_1(a2179)
        & ~ c3_1(a2179) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2180)
        & c3_1(a2180)
        & ~ c1_1(a2180) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a2181)
        & c2_1(a2181)
        & ~ c3_1(a2181) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2182)
        & c3_1(a2182)
        & ~ c0_1(a2182) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2184)
        & c1_1(a2184)
        & ~ c3_1(a2184) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2185)
        & ~ c0_1(a2185)
        & ~ c1_1(a2185) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2186)
        & ~ c0_1(a2186)
        & ~ c1_1(a2186) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2187)
        & c2_1(a2187)
        & ~ c1_1(a2187) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a2189)
        & ~ c2_1(a2189)
        & ~ c3_1(a2189) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a2191)
        & ~ c1_1(a2191)
        & ~ c3_1(a2191) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a2193)
        & ~ c1_1(a2193)
        & ~ c2_1(a2193) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a2194)
        & c3_1(a2194)
        & ~ c2_1(a2194) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c1_1(a2195)
        & ~ c2_1(a2195)
        & ~ c3_1(a2195) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2197)
        & c3_1(a2197)
        & ~ c1_1(a2197) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a2198)
        & ~ c1_1(a2198)
        & ~ c2_1(a2198) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2211)
        & ~ c2_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a2213)
        & c1_1(a2213)
        & ~ c2_1(a2213) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2216)
        & ~ c2_1(a2216)
        & ~ c3_1(a2216) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2219)
        & ~ c1_1(a2219)
        & ~ c3_1(a2219) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a2248)
        & ~ c1_1(a2248)
        & ~ c2_1(a2248) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2262)
        & c3_1(a2262)
        & ~ c0_1(a2262) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a2265)
        & c3_1(a2265)
        & ~ c2_1(a2265) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a2268)
        & ~ c0_1(a2268)
        & ~ c2_1(a2268) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a2178)
        & c2_1(a2178)
        & c3_1(a2178) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2188)
        & c1_1(a2188)
        & c2_1(a2188) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2196)
        & c2_1(a2196)
        & c3_1(a2196) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2208)
        & c1_1(a2208)
        & c3_1(a2208) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c3_1(X1)
            | ~ c2_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | ~ c2_1(X2)
            | ~ c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | ~ c0_1(X4)
            | ~ c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c3_1(X5)
            | ~ c1_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c1_1(X7)
            | ~ c2_1(X7)
            | ~ c3_1(X7) ) )
      | hskp0 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c3_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c1_1(X10)
            | ~ c3_1(X10) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | c2_1(X12)
            | c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | ~ c0_1(X13)
            | ~ c2_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | ~ c2_1(X15)
            | ~ c3_1(X15) ) )
      | hskp1 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | ~ c2_1(X17)
            | ~ c3_1(X17) ) )
      | hskp2 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | ~ c1_1(X19) ) )
      | hskp3 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | ~ c1_1(X21)
            | ~ c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | ~ c1_1(X22)
            | ~ c3_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c1_1(X23)
            | ~ c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | ~ c1_1(X24)
            | ~ c2_1(X24) ) )
      | hskp27 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c1_1(X25)
            | ~ c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | ~ c2_1(X26)
            | ~ c3_1(X26) ) )
      | hskp4 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c2_1(X27) ) )
      | hskp5
      | hskp6 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c3_1(X29)
            | ~ c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c2_1(X30)
            | c3_1(X30)
            | ~ c1_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c1_1(X31)
            | ~ c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c3_1(X32)
            | ~ c2_1(X32) ) )
      | hskp7 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c1_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | ~ c1_1(X34)
            | ~ c2_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c1_1(X35)
            | c2_1(X35)
            | c3_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c1_1(X36)
            | ~ c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c2_1(X37)
            | ~ c1_1(X37)
            | ~ c3_1(X37) ) )
      | hskp0 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c1_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | ~ c0_1(X39)
            | ~ c1_1(X39) ) )
      | hskp8 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c1_1(X40)
            | ~ c3_1(X40) ) )
      | hskp9
      | hskp10 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | ~ c0_1(X42)
            | ~ c3_1(X42) ) )
      | hskp11 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | ~ c2_1(X44)
            | ~ c3_1(X44) ) )
      | hskp28 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | c2_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | ~ c2_1(X46)
            | ~ c3_1(X46) ) )
      | hskp12 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c2_1(X47)
            | ~ c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c3_1(X48)
            | ~ c2_1(X48) ) )
      | hskp10 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | c2_1(X49)
            | ~ c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | c3_1(X50)
            | ~ c0_1(X50) ) )
      | hskp13 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | c2_1(X51)
            | ~ c3_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | ~ c0_1(X52)
            | ~ c1_1(X52) ) )
      | hskp11 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | c2_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | ~ c0_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c2_1(X55)
            | ~ c3_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | c3_1(X56)
            | ~ c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | ~ c1_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c0_1(X58)
            | ~ c3_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( c0_1(X59)
            | c3_1(X59)
            | ~ c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | c3_1(X60)
            | ~ c1_1(X60) ) )
      | hskp14 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | c3_1(X61)
            | ~ c1_1(X61) ) )
      | hskp15
      | hskp16 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c0_1(X62)
            | c3_1(X62)
            | ~ c1_1(X62) ) )
      | hskp29
      | hskp17 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c0_1(X63)
            | c3_1(X63)
            | ~ c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | ~ c0_1(X64)
            | ~ c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | ~ c0_1(X65)
            | ~ c3_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c1_1(X66)
            | ~ c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c3_1(X67)
            | ~ c0_1(X67) ) )
      | hskp18 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | ~ c1_1(X68)
            | ~ c2_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | c3_1(X69)
            | ~ c1_1(X69) ) )
      | hskp2 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c0_1(X70)
            | ~ c1_1(X70)
            | ~ c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | ~ c1_1(X71)
            | ~ c3_1(X71) ) )
      | hskp27 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c0_1(X72)
            | ~ c1_1(X72)
            | ~ c2_1(X72) ) )
      | hskp15
      | hskp3 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c0_1(X73)
            | ~ c2_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | ~ c0_1(X75)
            | ~ c2_1(X75) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( c0_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c2_1(X77)
            | ~ c0_1(X77) ) )
      | hskp29 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c0_1(X78)
            | ~ c2_1(X78)
            | ~ c3_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c2_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | c3_1(X80)
            | ~ c0_1(X80) ) ) )
    & ( ! [X81] :
          ( ndr1_0
         => ( c0_1(X81)
            | ~ c2_1(X81)
            | ~ c3_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | ~ c0_1(X82)
            | ~ c1_1(X82) ) )
      | hskp16 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c0_1(X83)
            | ~ c2_1(X83)
            | ~ c3_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | ~ c2_1(X84)
            | ~ c3_1(X84) ) )
      | hskp2 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c2_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | c3_1(X86)
            | ~ c0_1(X86) ) )
      | hskp28 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c2_1(X87)
            | c3_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c0_1(X88)
            | ~ c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | ~ c2_1(X89)
            | ~ c3_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | c2_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c1_1(X91)
            | c3_1(X91)
            | ~ c2_1(X91) ) )
      | hskp2 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | c2_1(X92)
            | ~ c0_1(X92) ) )
      | hskp30
      | hskp1 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | c2_1(X93)
            | ~ c0_1(X93) ) )
      | hskp16 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | c3_1(X94)
            | ~ c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( c1_1(X95)
            | ~ c0_1(X95)
            | ~ c2_1(X95) ) )
      | hskp19 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c1_1(X96)
            | c3_1(X96)
            | ~ c0_1(X96) ) )
      | hskp28
      | hskp20 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c1_1(X97)
            | c3_1(X97)
            | ~ c0_1(X97) ) )
      | hskp15
      | hskp0 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c1_1(X98)
            | c3_1(X98)
            | ~ c2_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | ~ c0_1(X99)
            | ~ c1_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c0_1(X100)
            | ~ c1_1(X100)
            | ~ c3_1(X100) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( c1_1(X101)
            | ~ c0_1(X101)
            | ~ c2_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c1_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp21 )
    & ( ! [X103] :
          ( ndr1_0
         => ( c1_1(X103)
            | ~ c0_1(X103)
            | ~ c2_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c1_1(X104)
            | ~ c2_1(X104)
            | ~ c3_1(X104) ) )
      | hskp10 )
    & ( ! [X105] :
          ( ndr1_0
         => ( c1_1(X105)
            | ~ c0_1(X105)
            | ~ c2_1(X105) ) )
      | hskp28
      | hskp22 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c1_1(X106)
            | ~ c0_1(X106)
            | ~ c3_1(X106) ) )
      | hskp13
      | hskp16 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c1_1(X107)
            | ~ c2_1(X107)
            | ~ c3_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c0_1(X108)
            | ~ c2_1(X108)
            | ~ c3_1(X108) ) )
      | hskp27 )
    & ( ! [X109] :
          ( ndr1_0
         => ( c2_1(X109)
            | c3_1(X109)
            | ~ c1_1(X109) ) )
      | hskp20
      | hskp16 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c3_1(X110)
            | ~ c1_1(X110) ) )
      | hskp13
      | hskp16 )
    & ( ! [X111] :
          ( ndr1_0
         => ( c2_1(X111)
            | ~ c0_1(X111)
            | ~ c1_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | ~ c0_1(X112)
            | ~ c1_1(X112) ) )
      | hskp18 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | ~ c0_1(X113)
            | ~ c1_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c0_1(X114)
            | ~ c1_1(X114)
            | ~ c2_1(X114) ) )
      | hskp12 )
    & ( ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | ~ c0_1(X115)
            | ~ c1_1(X115) ) )
      | hskp17
      | hskp10 )
    & ( ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | ~ c0_1(X116)
            | ~ c1_1(X116) ) )
      | hskp29
      | hskp9 )
    & ( ! [X117] :
          ( ndr1_0
         => ( c3_1(X117)
            | ~ c0_1(X117)
            | ~ c2_1(X117) ) )
      | hskp11
      | hskp10 )
    & ( ! [X118] :
          ( ndr1_0
         => ( c3_1(X118)
            | ~ c1_1(X118)
            | ~ c2_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c0_1(X119)
            | ~ c2_1(X119)
            | ~ c3_1(X119) ) )
      | hskp7 )
    & ( ! [X120] :
          ( ndr1_0
         => ( c3_1(X120)
            | ~ c1_1(X120)
            | ~ c2_1(X120) ) )
      | hskp0
      | hskp22 )
    & ( ! [X121] :
          ( ndr1_0
         => ( ~ c0_1(X121)
            | ~ c1_1(X121)
            | ~ c3_1(X121) ) )
      | hskp27
      | hskp22 )
    & ( ! [X122] :
          ( ndr1_0
         => ( ~ c0_1(X122)
            | ~ c2_1(X122)
            | ~ c3_1(X122) ) )
      | hskp11
      | hskp1 )
    & ( ! [X123] :
          ( ndr1_0
         => ( ~ c1_1(X123)
            | ~ c2_1(X123)
            | ~ c3_1(X123) ) )
      | hskp27
      | hskp16 )
    & ( ! [X124] :
          ( ndr1_0
         => ( ~ c1_1(X124)
            | ~ c2_1(X124)
            | ~ c3_1(X124) ) )
      | hskp13
      | hskp19 )
    & ( hskp8
      | hskp4
      | hskp23 )
    & ( hskp5
      | hskp2
      | hskp19 )
    & ( hskp5
      | hskp19
      | hskp16 )
    & ( hskp15
      | hskp3
      | hskp16 )
    & ( hskp13
      | hskp0
      | hskp10 )
    & ( hskp13
      | hskp24
      | hskp14 )
    & ( hskp21
      | hskp25
      | hskp22 )
    & ( hskp24
      | hskp26
      | hskp17 )
    & ( hskp24
      | hskp2
      | hskp9 )
    & ( hskp17
      | hskp3
      | hskp16 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a2174)
        & c2_1(a2174)
        & ~ c0_1(a2174) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2175)
        & ~ c0_1(a2175)
        & ~ c3_1(a2175) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2176)
        & ~ c0_1(a2176)
        & ~ c3_1(a2176) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2177)
        & ~ c1_1(a2177)
        & ~ c3_1(a2177) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2179)
        & c2_1(a2179)
        & ~ c3_1(a2179) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2180)
        & c3_1(a2180)
        & ~ c1_1(a2180) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a2181)
        & c2_1(a2181)
        & ~ c3_1(a2181) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2182)
        & c3_1(a2182)
        & ~ c0_1(a2182) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2184)
        & c1_1(a2184)
        & ~ c3_1(a2184) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2185)
        & ~ c0_1(a2185)
        & ~ c1_1(a2185) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2186)
        & ~ c0_1(a2186)
        & ~ c1_1(a2186) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2187)
        & c2_1(a2187)
        & ~ c1_1(a2187) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a2189)
        & ~ c2_1(a2189)
        & ~ c3_1(a2189) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a2191)
        & ~ c1_1(a2191)
        & ~ c3_1(a2191) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a2193)
        & ~ c1_1(a2193)
        & ~ c2_1(a2193) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a2194)
        & c3_1(a2194)
        & ~ c2_1(a2194) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c1_1(a2195)
        & ~ c2_1(a2195)
        & ~ c3_1(a2195) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2197)
        & c3_1(a2197)
        & ~ c1_1(a2197) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a2198)
        & ~ c1_1(a2198)
        & ~ c2_1(a2198) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2211)
        & ~ c2_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a2213)
        & c1_1(a2213)
        & ~ c2_1(a2213) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2216)
        & ~ c2_1(a2216)
        & ~ c3_1(a2216) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2219)
        & ~ c1_1(a2219)
        & ~ c3_1(a2219) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a2248)
        & ~ c1_1(a2248)
        & ~ c2_1(a2248) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2262)
        & c3_1(a2262)
        & ~ c0_1(a2262) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a2265)
        & c3_1(a2265)
        & ~ c2_1(a2265) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a2268)
        & ~ c0_1(a2268)
        & ~ c2_1(a2268) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a2178)
        & c2_1(a2178)
        & c3_1(a2178) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2188)
        & c1_1(a2188)
        & c2_1(a2188) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2196)
        & c2_1(a2196)
        & c3_1(a2196) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2208)
        & c1_1(a2208)
        & c3_1(a2208) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | ~ c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | ~ c0_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c0_1(X22)
          | ~ c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | ~ c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c2_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X61] :
          ( c0_1(X61)
          | c3_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | hskp15
      | hskp16 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c3_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | hskp29
      | hskp17 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c3_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c1_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | c3_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X72] :
          ( c0_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp15
      | hskp3 )
    & ( ! [X73] :
          ( c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X78] :
          ( c0_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( c0_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( c1_1(X90)
          | c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c2_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp30
      | hskp1 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c2_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X94] :
          ( c1_1(X94)
          | c3_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X96] :
          ( c1_1(X96)
          | c3_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | hskp28
      | hskp20 )
    & ( ! [X97] :
          ( c1_1(X97)
          | c3_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X98] :
          ( c1_1(X98)
          | c3_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c0_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c0_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X105] :
          ( c1_1(X105)
          | ~ c0_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp28
      | hskp22 )
    & ( ! [X106] :
          ( c1_1(X106)
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp13
      | hskp16 )
    & ( ! [X107] :
          ( c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp20
      | hskp16 )
    & ( ! [X110] :
          ( c2_1(X110)
          | c3_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | hskp13
      | hskp16 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp17
      | hskp10 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c0_1(X116)
          | ~ c1_1(X116)
          | ~ ndr1_0 )
      | hskp29
      | hskp9 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp11
      | hskp10 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp0
      | hskp22 )
    & ( ! [X121] :
          ( ~ c0_1(X121)
          | ~ c1_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp27
      | hskp22 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 )
      | hskp11
      | hskp1 )
    & ( ! [X123] :
          ( ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X124] :
          ( ~ c1_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp13
      | hskp19 )
    & ( hskp8
      | hskp4
      | hskp23 )
    & ( hskp5
      | hskp2
      | hskp19 )
    & ( hskp5
      | hskp19
      | hskp16 )
    & ( hskp15
      | hskp3
      | hskp16 )
    & ( hskp13
      | hskp0
      | hskp10 )
    & ( hskp13
      | hskp24
      | hskp14 )
    & ( hskp21
      | hskp25
      | hskp22 )
    & ( hskp24
      | hskp26
      | hskp17 )
    & ( hskp24
      | hskp2
      | hskp9 )
    & ( hskp17
      | hskp3
      | hskp16 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a2174)
        & c2_1(a2174)
        & ~ c0_1(a2174) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2175)
        & ~ c0_1(a2175)
        & ~ c3_1(a2175) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a2176)
        & ~ c0_1(a2176)
        & ~ c3_1(a2176) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a2177)
        & ~ c1_1(a2177)
        & ~ c3_1(a2177) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a2179)
        & c2_1(a2179)
        & ~ c3_1(a2179) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a2180)
        & c3_1(a2180)
        & ~ c1_1(a2180) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a2181)
        & c2_1(a2181)
        & ~ c3_1(a2181) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a2182)
        & c3_1(a2182)
        & ~ c0_1(a2182) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a2184)
        & c1_1(a2184)
        & ~ c3_1(a2184) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a2185)
        & ~ c0_1(a2185)
        & ~ c1_1(a2185) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a2186)
        & ~ c0_1(a2186)
        & ~ c1_1(a2186) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a2187)
        & c2_1(a2187)
        & ~ c1_1(a2187) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a2189)
        & ~ c2_1(a2189)
        & ~ c3_1(a2189) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a2191)
        & ~ c1_1(a2191)
        & ~ c3_1(a2191) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c3_1(a2193)
        & ~ c1_1(a2193)
        & ~ c2_1(a2193) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a2194)
        & c3_1(a2194)
        & ~ c2_1(a2194) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c1_1(a2195)
        & ~ c2_1(a2195)
        & ~ c3_1(a2195) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a2197)
        & c3_1(a2197)
        & ~ c1_1(a2197) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a2198)
        & ~ c1_1(a2198)
        & ~ c2_1(a2198) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a2211)
        & ~ c2_1(a2211)
        & ~ c3_1(a2211) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a2213)
        & c1_1(a2213)
        & ~ c2_1(a2213) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a2216)
        & ~ c2_1(a2216)
        & ~ c3_1(a2216) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a2219)
        & ~ c1_1(a2219)
        & ~ c3_1(a2219) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a2248)
        & ~ c1_1(a2248)
        & ~ c2_1(a2248) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a2262)
        & c3_1(a2262)
        & ~ c0_1(a2262) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a2265)
        & c3_1(a2265)
        & ~ c2_1(a2265) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a2268)
        & ~ c0_1(a2268)
        & ~ c2_1(a2268) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a2178)
        & c2_1(a2178)
        & c3_1(a2178) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2188)
        & c1_1(a2188)
        & c2_1(a2188) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a2196)
        & c2_1(a2196)
        & c3_1(a2196) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a2208)
        & c1_1(a2208)
        & c3_1(a2208) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | ~ c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | c3_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | ~ c0_1(X13)
          | ~ c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c0_1(X22)
          | ~ c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | ~ c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c1_1(X26)
          | ~ c2_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c2_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c1_1(X35)
          | c2_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c1_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c2_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c1_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c1_1(X42)
          | ~ c0_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | ~ c2_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X45] :
          ( c0_1(X45)
          | c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | ~ c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X49] :
          ( c0_1(X49)
          | c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X51] :
          ( c0_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X53] :
          ( c0_1(X53)
          | c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | c3_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c0_1(X57)
          | ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( c0_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c2_1(X60)
          | c3_1(X60)
          | ~ c1_1(X60)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X61] :
          ( c0_1(X61)
          | c3_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | hskp15
      | hskp16 )
    & ( ! [X62] :
          ( c0_1(X62)
          | c3_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | hskp29
      | hskp17 )
    & ( ! [X63] :
          ( c0_1(X63)
          | c3_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | ~ c0_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c1_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | c3_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X70] :
          ( c0_1(X70)
          | ~ c1_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X72] :
          ( c0_1(X72)
          | ~ c1_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp15
      | hskp3 )
    & ( ! [X73] :
          ( c0_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c3_1(X75)
          | ~ c0_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c0_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c1_1(X77)
          | c2_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X78] :
          ( c0_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 ) )
    & ( ! [X81] :
          ( c0_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c2_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c1_1(X86)
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c2_1(X87)
          | c3_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( c1_1(X90)
          | c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c1_1(X91)
          | c3_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X92] :
          ( c1_1(X92)
          | c2_1(X92)
          | ~ c0_1(X92)
          | ~ ndr1_0 )
      | hskp30
      | hskp1 )
    & ( ! [X93] :
          ( c1_1(X93)
          | c2_1(X93)
          | ~ c0_1(X93)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X94] :
          ( c1_1(X94)
          | c3_1(X94)
          | ~ c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( c1_1(X95)
          | ~ c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X96] :
          ( c1_1(X96)
          | c3_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | hskp28
      | hskp20 )
    & ( ! [X97] :
          ( c1_1(X97)
          | c3_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X98] :
          ( c1_1(X98)
          | c3_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( c1_1(X101)
          | ~ c0_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X103] :
          ( c1_1(X103)
          | ~ c0_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c1_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X105] :
          ( c1_1(X105)
          | ~ c0_1(X105)
          | ~ c2_1(X105)
          | ~ ndr1_0 )
      | hskp28
      | hskp22 )
    & ( ! [X106] :
          ( c1_1(X106)
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp13
      | hskp16 )
    & ( ! [X107] :
          ( c1_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X109] :
          ( c2_1(X109)
          | c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 )
      | hskp20
      | hskp16 )
    & ( ! [X110] :
          ( c2_1(X110)
          | c3_1(X110)
          | ~ c1_1(X110)
          | ~ ndr1_0 )
      | hskp13
      | hskp16 )
    & ( ! [X111] :
          ( c2_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X113] :
          ( c2_1(X113)
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ c2_1(X114)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X115] :
          ( c2_1(X115)
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | hskp17
      | hskp10 )
    & ( ! [X116] :
          ( c3_1(X116)
          | ~ c0_1(X116)
          | ~ c1_1(X116)
          | ~ ndr1_0 )
      | hskp29
      | hskp9 )
    & ( ! [X117] :
          ( c3_1(X117)
          | ~ c0_1(X117)
          | ~ c2_1(X117)
          | ~ ndr1_0 )
      | hskp11
      | hskp10 )
    & ( ! [X118] :
          ( c3_1(X118)
          | ~ c1_1(X118)
          | ~ c2_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c0_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X120] :
          ( c3_1(X120)
          | ~ c1_1(X120)
          | ~ c2_1(X120)
          | ~ ndr1_0 )
      | hskp0
      | hskp22 )
    & ( ! [X121] :
          ( ~ c0_1(X121)
          | ~ c1_1(X121)
          | ~ c3_1(X121)
          | ~ ndr1_0 )
      | hskp27
      | hskp22 )
    & ( ! [X122] :
          ( ~ c0_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122)
          | ~ ndr1_0 )
      | hskp11
      | hskp1 )
    & ( ! [X123] :
          ( ~ c1_1(X123)
          | ~ c2_1(X123)
          | ~ c3_1(X123)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X124] :
          ( ~ c1_1(X124)
          | ~ c2_1(X124)
          | ~ c3_1(X124)
          | ~ ndr1_0 )
      | hskp13
      | hskp19 )
    & ( hskp8
      | hskp4
      | hskp23 )
    & ( hskp5
      | hskp2
      | hskp19 )
    & ( hskp5
      | hskp19
      | hskp16 )
    & ( hskp15
      | hskp3
      | hskp16 )
    & ( hskp13
      | hskp0
      | hskp10 )
    & ( hskp13
      | hskp24
      | hskp14 )
    & ( hskp21
      | hskp25
      | hskp22 )
    & ( hskp24
      | hskp26
      | hskp17 )
    & ( hskp24
      | hskp2
      | hskp9 )
    & ( hskp17
      | hskp3
      | hskp16 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp17
    | hskp3
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp24
    | hskp26
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp13
    | hskp24
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp13
    | hskp0
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp15
    | hskp3
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X120] :
      ( c3_1(X120)
      | ~ c1_1(X120)
      | ~ c2_1(X120)
      | ~ ndr1_0
      | hskp0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X115] :
      ( c2_1(X115)
      | ~ c0_1(X115)
      | ~ c1_1(X115)
      | ~ ndr1_0
      | hskp17
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X113,X114] :
      ( c2_1(X113)
      | ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | ~ c0_1(X114)
      | ~ c1_1(X114)
      | ~ c2_1(X114)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X111,X112] :
      ( c2_1(X111)
      | ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | ~ c0_1(X112)
      | ~ c1_1(X112)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X106] :
      ( c1_1(X106)
      | ~ c0_1(X106)
      | ~ c3_1(X106)
      | ~ ndr1_0
      | hskp13
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X104,X103] :
      ( c1_1(X103)
      | ~ c0_1(X103)
      | ~ c2_1(X103)
      | ~ ndr1_0
      | c1_1(X104)
      | ~ c2_1(X104)
      | ~ c3_1(X104)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X101,X102] :
      ( c1_1(X101)
      | ~ c0_1(X101)
      | ~ c2_1(X101)
      | ~ ndr1_0
      | c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X98,X99,X100] :
      ( c1_1(X98)
      | c3_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0
      | c3_1(X99)
      | ~ c0_1(X99)
      | ~ c1_1(X99)
      | ~ ndr1_0
      | ~ c0_1(X100)
      | ~ c1_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X97] :
      ( c1_1(X97)
      | c3_1(X97)
      | ~ c0_1(X97)
      | ~ ndr1_0
      | hskp15
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X93] :
      ( c1_1(X93)
      | c2_1(X93)
      | ~ c0_1(X93)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X90,X91] :
      ( c1_1(X90)
      | c2_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | c1_1(X91)
      | c3_1(X91)
      | ~ c2_1(X91)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X88,X89,X87] :
      ( c1_1(X87)
      | c2_1(X87)
      | c3_1(X87)
      | ~ ndr1_0
      | c1_1(X88)
      | ~ c0_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | ~ c0_1(X89)
      | ~ c2_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c2_1(X85)
      | c3_1(X85)
      | ~ ndr1_0
      | c1_1(X86)
      | c3_1(X86)
      | ~ c0_1(X86)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X83,X84] :
      ( c0_1(X83)
      | ~ c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X80,X78,X79] :
      ( c0_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c1_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c2_1(X80)
      | c3_1(X80)
      | ~ c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X72] :
      ( c0_1(X72)
      | ~ c1_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | hskp15
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X66,X67] :
      ( c0_1(X66)
      | ~ c1_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0
      | c1_1(X67)
      | c3_1(X67)
      | ~ c0_1(X67)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X65,X63,X64] :
      ( c0_1(X63)
      | c3_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | c1_1(X64)
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | ~ ndr1_0
      | c2_1(X65)
      | ~ c0_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X62] :
      ( c0_1(X62)
      | c3_1(X62)
      | ~ c1_1(X62)
      | ~ ndr1_0
      | hskp29
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X61] :
      ( c0_1(X61)
      | c3_1(X61)
      | ~ c1_1(X61)
      | ~ ndr1_0
      | hskp15
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X58,X56,X57] :
      ( c0_1(X56)
      | c3_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0
      | c0_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | ~ c0_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | c2_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ c1_1(X52)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c2_1(X41)
      | c3_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | ~ c0_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c2_1(X37)
      | ~ c1_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c0_1(X34)
      | ~ c1_1(X34)
      | ~ c2_1(X34)
      | ~ ndr1_0
      | c1_1(X35)
      | c2_1(X35)
      | c3_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c1_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | c3_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c1_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | c3_1(X29)
      | ~ c1_1(X29)
      | ~ ndr1_0
      | c2_1(X30)
      | c3_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X21,X22,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | c0_1(X21)
      | ~ c1_1(X21)
      | ~ c2_1(X21)
      | ~ ndr1_0
      | ~ c0_1(X22)
      | ~ c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | ~ c2_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | c1_1(X12)
      | c2_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | c1_1(X13)
      | ~ c0_1(X13)
      | ~ c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | c3_1(X8)
      | ~ ndr1_0
      | c0_1(X9)
      | c3_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | ~ c1_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c1_1(X7)
      | ~ c2_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp29
    | c3_1(a2196) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp29
    | c2_1(a2196) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp29
    | c1_1(a2196) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp28
    | c2_1(a2188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp28
    | c1_1(a2188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp28
    | c0_1(a2188) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp26
    | ~ c2_1(a2268) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp26
    | ~ c0_1(a2268) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp26
    | c1_1(a2268) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp24
    | ~ c0_1(a2262) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp24
    | c3_1(a2262) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp24
    | c1_1(a2262) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp22
    | ~ c3_1(a2219) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp22
    | ~ c1_1(a2219) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp22
    | c2_1(a2219) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp21
    | ~ c3_1(a2216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp21
    | ~ c2_1(a2216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp21
    | c0_1(a2216) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp18
    | ~ c2_1(a2198) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp18
    | ~ c1_1(a2198) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp18
    | c0_1(a2198) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp17
    | ~ c1_1(a2197) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp17
    | c3_1(a2197) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp17
    | c2_1(a2197) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp16
    | ~ c3_1(a2195) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp16
    | ~ c2_1(a2195) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp16
    | ~ c1_1(a2195) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    ( ~ hskp16
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp15
    | ~ c2_1(a2194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp15
    | c3_1(a2194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp15
    | c0_1(a2194) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    ( ~ hskp15
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp14
    | ~ c2_1(a2193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp14
    | ~ c1_1(a2193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp14
    | c3_1(a2193) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp13
    | ~ c3_1(a2191) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp13
    | ~ c1_1(a2191) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp13
    | c0_1(a2191) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp12
    | ~ c3_1(a2189) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp12
    | ~ c2_1(a2189) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp12
    | c1_1(a2189) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp11
    | ~ c1_1(a2187) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp11
    | c2_1(a2187) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp11
    | c0_1(a2187) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp10
    | ~ c1_1(a2186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp10
    | ~ c0_1(a2186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp10
    | c3_1(a2186) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp7
    | ~ c0_1(a2182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp7
    | c3_1(a2182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp7
    | c2_1(a2182) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp3
    | ~ c3_1(a2177) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp3
    | ~ c1_1(a2177) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp3
    | ~ c0_1(a2177) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp2
    | ~ c3_1(a2176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp2
    | ~ c0_1(a2176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp2
    | c1_1(a2176) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp1
    | ~ c3_1(a2175) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp1
    | ~ c0_1(a2175) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp1
    | c2_1(a2175) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp0
    | ~ c0_1(a2174) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp0
    | c2_1(a2174) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( ~ hskp0
    | c1_1(a2174) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ! [X113,X114] :
      ( c2_1(X113)
      | ~ c0_1(X113)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | ~ c0_1(X114)
      | ~ c1_1(X114)
      | ~ c2_1(X114)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f208,plain,
    ! [X111,X112] :
      ( c2_1(X111)
      | ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | ~ c0_1(X112)
      | ~ c1_1(X112)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f210,plain,
    ! [X104,X103] :
      ( c1_1(X103)
      | ~ c0_1(X103)
      | ~ c2_1(X103)
      | ~ ndr1_0
      | c1_1(X104)
      | ~ c2_1(X104)
      | ~ c3_1(X104)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f211,plain,
    ! [X101,X102] :
      ( c1_1(X101)
      | ~ c0_1(X101)
      | ~ c2_1(X101)
      | ~ ndr1_0
      | c1_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f212,plain,
    ! [X98,X99,X100] :
      ( c1_1(X98)
      | c3_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0
      | c3_1(X99)
      | ~ c0_1(X99)
      | ~ c1_1(X99)
      | ~ c0_1(X100)
      | ~ c1_1(X100)
      | ~ c3_1(X100) ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f214,plain,
    ! [X90,X91] :
      ( c1_1(X90)
      | c2_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | c1_1(X91)
      | c3_1(X91)
      | ~ c2_1(X91)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f215,plain,
    ! [X88,X89,X87] :
      ( c1_1(X87)
      | c2_1(X87)
      | c3_1(X87)
      | ~ ndr1_0
      | c1_1(X88)
      | ~ c0_1(X88)
      | ~ c3_1(X88)
      | ~ c0_1(X89)
      | ~ c2_1(X89)
      | ~ c3_1(X89) ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f216,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c2_1(X85)
      | c3_1(X85)
      | ~ ndr1_0
      | c1_1(X86)
      | c3_1(X86)
      | ~ c0_1(X86)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f217,plain,
    ! [X83,X84] :
      ( c0_1(X83)
      | ~ c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | ~ c1_1(X84)
      | ~ c2_1(X84)
      | ~ c3_1(X84)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f219,plain,
    ! [X80,X78,X79] :
      ( c0_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c1_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | c2_1(X80)
      | c3_1(X80)
      | ~ c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f224,plain,
    ! [X66,X67] :
      ( c0_1(X66)
      | ~ c1_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0
      | c1_1(X67)
      | c3_1(X67)
      | ~ c0_1(X67)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f225,plain,
    ! [X65,X63,X64] :
      ( c0_1(X63)
      | c3_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0
      | c1_1(X64)
      | ~ c0_1(X64)
      | ~ c2_1(X64)
      | c2_1(X65)
      | ~ c0_1(X65)
      | ~ c3_1(X65) ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f226,plain,
    ! [X59,X60] :
      ( c0_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | c2_1(X60)
      | c3_1(X60)
      | ~ c1_1(X60)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f227,plain,
    ! [X58,X56,X57] :
      ( c0_1(X56)
      | c3_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0
      | c0_1(X57)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | c1_1(X58)
      | ~ c0_1(X58)
      | ~ c3_1(X58) ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f228,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | ~ c0_1(X54)
      | ~ c3_1(X54)
      | ~ c1_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55) ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f229,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | c2_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0
      | c2_1(X52)
      | ~ c0_1(X52)
      | ~ c1_1(X52)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f234,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c2_1(X41)
      | c3_1(X41)
      | ~ ndr1_0
      | c1_1(X42)
      | ~ c0_1(X42)
      | ~ c3_1(X42)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f236,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c1_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c2_1(X37)
      | ~ c1_1(X37)
      | ~ c3_1(X37)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f237,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c1_1(X33)
      | ~ c3_1(X33)
      | ~ ndr1_0
      | c0_1(X34)
      | ~ c1_1(X34)
      | ~ c2_1(X34)
      | c1_1(X35)
      | c2_1(X35)
      | c3_1(X35) ),
    inference(duplicate_literal_removal,[],[f67]) ).

fof(f238,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c1_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c0_1(X32)
      | c3_1(X32)
      | ~ c2_1(X32)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f68]) ).

fof(f239,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c1_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | c3_1(X29)
      | ~ c1_1(X29)
      | c2_1(X30)
      | c3_1(X30)
      | ~ c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f69]) ).

fof(f242,plain,
    ! [X21,X22,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | c0_1(X21)
      | ~ c1_1(X21)
      | ~ c2_1(X21)
      | ~ c0_1(X22)
      | ~ c1_1(X22)
      | ~ c3_1(X22) ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f244,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | ~ c2_1(X17)
      | ~ c3_1(X17)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f75]) ).

fof(f245,plain,
    ! [X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ c3_1(X15)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f246,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | c1_1(X12)
      | c2_1(X12)
      | c3_1(X12)
      | c1_1(X13)
      | ~ c0_1(X13)
      | ~ c2_1(X13) ),
    inference(duplicate_literal_removal,[],[f77]) ).

fof(f247,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | c3_1(X8)
      | ~ ndr1_0
      | c0_1(X9)
      | c3_1(X9)
      | ~ c2_1(X9)
      | c0_1(X10)
      | ~ c1_1(X10)
      | ~ c3_1(X10) ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f248,plain,
    ! [X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0
      | c1_1(X7)
      | ~ c2_1(X7)
      | ~ c3_1(X7)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f79]) ).

fof(f252,definition,
    ( spl0_1
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f255,definition,
    ( spl0_2
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f258,definition,
    ( spl0_3
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f260,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f258,f255,f252]) ).

fof(f265,definition,
    ( spl0_5
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_6
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f272,definition,
    ( spl0_7
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f274,plain,
    ( spl0_3
    | spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f268,f272,f258]) ).

fof(f276,definition,
    ( spl0_8
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f282,definition,
    ( spl0_10
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f286,definition,
    ( spl0_11
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f289,definition,
    ( spl0_12
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f291,plain,
    ( spl0_11
    | spl0_6
    | spl0_12 ),
    inference(avatar_split_clause,[],[f10,f289,f268,f286]) ).

fof(f293,definition,
    ( spl0_13
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f296,definition,
    ( spl0_14
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f298,plain,
    ( spl0_13
    | spl0_14
    | spl0_12 ),
    inference(avatar_split_clause,[],[f11,f289,f296,f293]) ).

fof(f300,definition,
    ( spl0_15
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f302,plain,
    ( spl0_1
    | spl0_2
    | spl0_15 ),
    inference(avatar_split_clause,[],[f12,f300,f255,f252]) ).

fof(f322,definition,
    ( spl0_21
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f325,definition,
    ( spl0_22
  <=> ! [X124] :
        ( ~ c1_1(X124)
        | ~ c3_1(X124)
        | ~ c2_1(X124) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f326,plain,
    ( ! [X124] :
        ( ~ c3_1(X124)
        | ~ c1_1(X124)
        | ~ c2_1(X124) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f333,definition,
    ( spl0_24
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f336,definition,
    ( spl0_25
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f339,definition,
    ( spl0_26
  <=> ! [X122] :
        ( ~ c0_1(X122)
        | ~ c3_1(X122)
        | ~ c2_1(X122) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f340,plain,
    ( ! [X122] :
        ( ~ c3_1(X122)
        | ~ c0_1(X122)
        | ~ c2_1(X122) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f343,definition,
    ( spl0_27
  <=> ! [X121] :
        ( ~ c0_1(X121)
        | ~ c3_1(X121)
        | ~ c1_1(X121) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X121] :
        ( ~ c3_1(X121)
        | ~ c0_1(X121)
        | ~ c1_1(X121) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f347,definition,
    ( spl0_28
  <=> ! [X120] :
        ( c3_1(X120)
        | ~ c2_1(X120)
        | ~ c1_1(X120) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f348,plain,
    ( ! [X120] :
        ( c3_1(X120)
        | ~ c2_1(X120)
        | ~ c1_1(X120) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f349,plain,
    ( spl0_8
    | spl0_14
    | ~ spl0_21
    | spl0_28 ),
    inference(avatar_split_clause,[],[f20,f347,f322,f296,f276]) ).

fof(f351,definition,
    ( spl0_29
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f359,definition,
    ( spl0_31
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f362,definition,
    ( spl0_32
  <=> ! [X116] :
        ( c3_1(X116)
        | ~ c1_1(X116)
        | ~ c0_1(X116) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f363,plain,
    ( ! [X116] :
        ( c3_1(X116)
        | ~ c1_1(X116)
        | ~ c0_1(X116) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f366,definition,
    ( spl0_33
  <=> ! [X115] :
        ( c2_1(X115)
        | ~ c1_1(X115)
        | ~ c0_1(X115) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X115] :
        ( c2_1(X115)
        | ~ c1_1(X115)
        | ~ c0_1(X115) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f368,plain,
    ( spl0_13
    | spl0_3
    | ~ spl0_21
    | spl0_33 ),
    inference(avatar_split_clause,[],[f24,f366,f322,f258,f293]) ).

fof(f370,definition,
    ( spl0_34
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f373,definition,
    ( spl0_35
  <=> ! [X114] :
        ( ~ c0_1(X114)
        | ~ c2_1(X114)
        | ~ c1_1(X114) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X114] :
        ( ~ c2_1(X114)
        | ~ c0_1(X114)
        | ~ c1_1(X114) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl0_34
    | spl0_35
    | ~ spl0_21
    | spl0_33 ),
    inference(avatar_split_clause,[],[f207,f366,f322,f373,f370]) ).

fof(f377,definition,
    ( spl0_36
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f379,plain,
    ( spl0_36
    | spl0_32
    | ~ spl0_21
    | spl0_33 ),
    inference(avatar_split_clause,[],[f208,f366,f322,f362,f377]) ).

fof(f381,definition,
    ( spl0_37
  <=> ! [X110] :
        ( c2_1(X110)
        | ~ c1_1(X110)
        | c3_1(X110) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f382,plain,
    ( ! [X110] :
        ( c3_1(X110)
        | ~ c1_1(X110)
        | c2_1(X110) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f389,definition,
    ( spl0_39
  <=> ! [X107] :
        ( c1_1(X107)
        | ~ c3_1(X107)
        | ~ c2_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X107] :
        ( ~ c3_1(X107)
        | c1_1(X107)
        | ~ c2_1(X107) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f393,definition,
    ( spl0_40
  <=> ! [X106] :
        ( c1_1(X106)
        | ~ c3_1(X106)
        | ~ c0_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f394,plain,
    ( ! [X106] :
        ( ~ c3_1(X106)
        | c1_1(X106)
        | ~ c0_1(X106) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f395,plain,
    ( spl0_1
    | spl0_12
    | ~ spl0_21
    | spl0_40 ),
    inference(avatar_split_clause,[],[f30,f393,f322,f289,f252]) ).

fof(f397,definition,
    ( spl0_41
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f400,definition,
    ( spl0_42
  <=> ! [X105] :
        ( c1_1(X105)
        | ~ c2_1(X105)
        | ~ c0_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X105] :
        ( ~ c2_1(X105)
        | c1_1(X105)
        | ~ c0_1(X105) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f403,plain,
    ( spl0_13
    | spl0_39
    | ~ spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f210,f400,f322,f389,f293]) ).

fof(f404,plain,
    ( spl0_10
    | spl0_39
    | ~ spl0_21
    | spl0_42 ),
    inference(avatar_split_clause,[],[f211,f400,f322,f389,f282]) ).

fof(f406,definition,
    ( spl0_43
  <=> ! [X98] :
        ( c1_1(X98)
        | ~ c2_1(X98)
        | c3_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f407,plain,
    ( ! [X98] :
        ( c3_1(X98)
        | ~ c2_1(X98)
        | c1_1(X98) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f408,plain,
    ( spl0_27
    | spl0_32
    | ~ spl0_21
    | spl0_43 ),
    inference(avatar_split_clause,[],[f212,f406,f322,f362,f343]) ).

fof(f410,definition,
    ( spl0_44
  <=> ! [X97] :
        ( c1_1(X97)
        | ~ c0_1(X97)
        | c3_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f411,plain,
    ( ! [X97] :
        ( c3_1(X97)
        | ~ c0_1(X97)
        | c1_1(X97) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f412,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_21
    | spl0_44 ),
    inference(avatar_split_clause,[],[f35,f410,f322,f300,f296]) ).

fof(f416,definition,
    ( spl0_45
  <=> ! [X93] :
        ( c1_1(X93)
        | ~ c0_1(X93)
        | c2_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f417,plain,
    ( ! [X93] :
        ( c2_1(X93)
        | ~ c0_1(X93)
        | c1_1(X93) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f418,plain,
    ( spl0_1
    | ~ spl0_21
    | spl0_45 ),
    inference(avatar_split_clause,[],[f38,f416,f322,f252]) ).

fof(f423,plain,
    ( spl0_5
    | spl0_43
    | ~ spl0_21
    | spl0_45 ),
    inference(avatar_split_clause,[],[f214,f416,f322,f406,f265]) ).

fof(f425,definition,
    ( spl0_47
  <=> ! [X87] :
        ( c1_1(X87)
        | c3_1(X87)
        | c2_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X87] :
        ( c3_1(X87)
        | c1_1(X87)
        | c2_1(X87) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f427,plain,
    ( spl0_26
    | spl0_40
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f215,f425,f322,f393,f339]) ).

fof(f428,plain,
    ( spl0_41
    | spl0_44
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f216,f425,f322,f410,f397]) ).

fof(f430,definition,
    ( spl0_48
  <=> ! [X83] :
        ( c0_1(X83)
        | ~ c3_1(X83)
        | ~ c2_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f431,plain,
    ( ! [X83] :
        ( ~ c3_1(X83)
        | c0_1(X83)
        | ~ c2_1(X83) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f432,plain,
    ( spl0_5
    | spl0_22
    | ~ spl0_21
    | spl0_48 ),
    inference(avatar_split_clause,[],[f217,f430,f322,f325,f265]) ).

fof(f435,definition,
    ( spl0_49
  <=> ! [X80] :
        ( c2_1(X80)
        | ~ c0_1(X80)
        | c3_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f436,plain,
    ( ! [X80] :
        ( c3_1(X80)
        | ~ c0_1(X80)
        | c2_1(X80) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f437,plain,
    ( spl0_49
    | spl0_39
    | ~ spl0_21
    | spl0_48 ),
    inference(avatar_split_clause,[],[f219,f430,f322,f389,f435]) ).

fof(f441,definition,
    ( spl0_50
  <=> ! [X72] :
        ( c0_1(X72)
        | ~ c2_1(X72)
        | ~ c1_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f442,plain,
    ( ! [X72] :
        ( ~ c2_1(X72)
        | c0_1(X72)
        | ~ c1_1(X72) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f443,plain,
    ( spl0_2
    | spl0_15
    | ~ spl0_21
    | spl0_50 ),
    inference(avatar_split_clause,[],[f48,f441,f322,f300,f255]) ).

fof(f445,definition,
    ( spl0_51
  <=> ! [X71] :
        ( c2_1(X71)
        | ~ c3_1(X71)
        | ~ c1_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f446,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c2_1(X71)
        | ~ c1_1(X71) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f449,plain,
    ( spl0_36
    | spl0_44
    | ~ spl0_21
    | spl0_50 ),
    inference(avatar_split_clause,[],[f224,f441,f322,f410,f377]) ).

fof(f451,definition,
    ( spl0_52
  <=> ! [X65] :
        ( c2_1(X65)
        | ~ c3_1(X65)
        | ~ c0_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f452,plain,
    ( ! [X65] :
        ( ~ c3_1(X65)
        | c2_1(X65)
        | ~ c0_1(X65) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f454,definition,
    ( spl0_53
  <=> ! [X63] :
        ( c0_1(X63)
        | ~ c2_1(X63)
        | c3_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X63] :
        ( c3_1(X63)
        | ~ c2_1(X63)
        | c0_1(X63) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f456,plain,
    ( spl0_52
    | spl0_42
    | ~ spl0_21
    | spl0_53 ),
    inference(avatar_split_clause,[],[f225,f454,f322,f400,f451]) ).

fof(f458,definition,
    ( spl0_54
  <=> ! [X62] :
        ( c0_1(X62)
        | ~ c1_1(X62)
        | c3_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f459,plain,
    ( ! [X62] :
        ( c3_1(X62)
        | ~ c1_1(X62)
        | c0_1(X62) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f460,plain,
    ( spl0_3
    | spl0_31
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f53,f458,f322,f359,f258]) ).

fof(f461,plain,
    ( spl0_1
    | spl0_15
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f54,f458,f322,f300,f252]) ).

fof(f462,plain,
    ( spl0_11
    | spl0_37
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f226,f458,f322,f381,f286]) ).

fof(f463,plain,
    ( spl0_40
    | spl0_50
    | ~ spl0_21
    | spl0_54 ),
    inference(avatar_split_clause,[],[f227,f458,f322,f441,f393]) ).

fof(f465,definition,
    ( spl0_55
  <=> ! [X53] :
        ( c0_1(X53)
        | ~ c3_1(X53)
        | c2_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f466,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | c0_1(X53)
        | c2_1(X53) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f467,plain,
    ( spl0_22
    | spl0_52
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f228,f465,f322,f451,f325]) ).

fof(f468,plain,
    ( spl0_25
    | spl0_33
    | ~ spl0_21
    | spl0_55 ),
    inference(avatar_split_clause,[],[f229,f465,f322,f366,f336]) ).

fof(f472,definition,
    ( spl0_56
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c1_1(X45)
        | c2_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f473,plain,
    ( ! [X45] :
        ( c2_1(X45)
        | ~ c1_1(X45)
        | c0_1(X45) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f476,definition,
    ( spl0_57
  <=> ! [X43] :
        ( c0_1(X43)
        | c3_1(X43)
        | c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f477,plain,
    ( ! [X43] :
        ( c3_1(X43)
        | c0_1(X43)
        | c2_1(X43) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f479,plain,
    ( spl0_25
    | spl0_40
    | ~ spl0_21
    | spl0_57 ),
    inference(avatar_split_clause,[],[f234,f476,f322,f393,f336]) ).

fof(f481,definition,
    ( spl0_58
  <=> ! [X40] :
        ( c0_1(X40)
        | ~ c3_1(X40)
        | c1_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f482,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | c0_1(X40)
        | c1_1(X40) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f485,plain,
    ( spl0_14
    | spl0_51
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f236,f481,f322,f445,f296]) ).

fof(f486,plain,
    ( spl0_47
    | spl0_50
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f237,f481,f322,f441,f425]) ).

fof(f487,plain,
    ( spl0_29
    | spl0_53
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f238,f481,f322,f454,f351]) ).

fof(f488,plain,
    ( spl0_37
    | spl0_54
    | ~ spl0_21
    | spl0_58 ),
    inference(avatar_split_clause,[],[f239,f481,f322,f458,f381]) ).

fof(f493,definition,
    ( spl0_60
  <=> ! [X27] :
        ( c0_1(X27)
        | ~ c2_1(X27)
        | c1_1(X27) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f494,plain,
    ( ! [X27] :
        ( ~ c2_1(X27)
        | c0_1(X27)
        | c1_1(X27) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f498,plain,
    ( spl0_27
    | spl0_50
    | ~ spl0_21
    | spl0_60 ),
    inference(avatar_split_clause,[],[f242,f493,f322,f441,f343]) ).

fof(f501,definition,
    ( spl0_61
  <=> ! [X16] :
        ( c0_1(X16)
        | c3_1(X16)
        | c1_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X16] :
        ( c3_1(X16)
        | c0_1(X16)
        | c1_1(X16) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f503,plain,
    ( spl0_5
    | spl0_26
    | ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f244,f501,f322,f339,f265]) ).

fof(f504,plain,
    ( spl0_24
    | spl0_39
    | ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f245,f501,f322,f389,f333]) ).

fof(f505,plain,
    ( spl0_42
    | spl0_47
    | ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f246,f501,f322,f425,f400]) ).

fof(f507,definition,
    ( spl0_62
  <=> ! [X10] :
        ( c0_1(X10)
        | ~ c3_1(X10)
        | ~ c1_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f508,plain,
    ( ! [X10] :
        ( ~ c3_1(X10)
        | c0_1(X10)
        | ~ c1_1(X10) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f509,plain,
    ( spl0_62
    | spl0_53
    | ~ spl0_21
    | spl0_61 ),
    inference(avatar_split_clause,[],[f247,f501,f322,f454,f507]) ).

fof(f511,definition,
    ( spl0_63
  <=> ! [X6] :
        ( c0_1(X6)
        | c2_1(X6)
        | c1_1(X6) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f512,plain,
    ( ! [X6] :
        ( c2_1(X6)
        | c0_1(X6)
        | c1_1(X6) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f513,plain,
    ( spl0_14
    | spl0_39
    | ~ spl0_21
    | spl0_63 ),
    inference(avatar_split_clause,[],[f248,f511,f322,f389,f296]) ).

fof(f532,definition,
    ( spl0_67
  <=> c3_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f533,plain,
    ( c3_1(a2196)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f535,plain,
    ( spl0_67
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f86,f359,f532]) ).

fof(f537,definition,
    ( spl0_68
  <=> c2_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f538,plain,
    ( c2_1(a2196)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f539,plain,
    ( spl0_68
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f87,f359,f537]) ).

fof(f541,definition,
    ( spl0_69
  <=> c1_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f543,plain,
    ( spl0_69
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f88,f359,f541]) ).

fof(f546,definition,
    ( spl0_70
  <=> c2_1(a2188) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f547,plain,
    ( c2_1(a2188)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f549,plain,
    ( spl0_70
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f90,f397,f546]) ).

fof(f551,definition,
    ( spl0_71
  <=> c1_1(a2188) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f553,plain,
    ( spl0_71
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f91,f397,f551]) ).

fof(f555,definition,
    ( spl0_72
  <=> c0_1(a2188) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f557,plain,
    ( spl0_72
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f92,f397,f555]) ).

fof(f574,definition,
    ( spl0_76
  <=> c2_1(a2268) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f575,plain,
    ( ~ c2_1(a2268)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f577,plain,
    ( ~ spl0_76
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f98,f272,f574]) ).

fof(f579,definition,
    ( spl0_77
  <=> c0_1(a2268) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f581,plain,
    ( ~ spl0_77
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f99,f272,f579]) ).

fof(f583,definition,
    ( spl0_78
  <=> c1_1(a2268) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f585,plain,
    ( spl0_78
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f100,f272,f583]) ).

fof(f602,definition,
    ( spl0_82
  <=> c0_1(a2262) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ spl0_82
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f106,f268,f602]) ).

fof(f607,definition,
    ( spl0_83
  <=> c3_1(a2262) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f608,plain,
    ( c3_1(a2262)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f609,plain,
    ( spl0_83
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f107,f268,f607]) ).

fof(f611,definition,
    ( spl0_84
  <=> c1_1(a2262) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f613,plain,
    ( spl0_84
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f108,f268,f611]) ).

fof(f630,definition,
    ( spl0_88
  <=> c3_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f631,plain,
    ( ~ c3_1(a2219)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f633,plain,
    ( ~ spl0_88
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f114,f276,f630]) ).

fof(f635,definition,
    ( spl0_89
  <=> c1_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f637,plain,
    ( ~ spl0_89
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f115,f276,f635]) ).

fof(f639,definition,
    ( spl0_90
  <=> c2_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f640,plain,
    ( c2_1(a2219)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f641,plain,
    ( spl0_90
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f116,f276,f639]) ).

fof(f644,definition,
    ( spl0_91
  <=> c3_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f645,plain,
    ( ~ c3_1(a2216)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f647,plain,
    ( ~ spl0_91
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f118,f282,f644]) ).

fof(f649,definition,
    ( spl0_92
  <=> c2_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f650,plain,
    ( ~ c2_1(a2216)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f651,plain,
    ( ~ spl0_92
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f119,f282,f649]) ).

fof(f653,definition,
    ( spl0_93
  <=> c0_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f655,plain,
    ( spl0_93
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f120,f282,f653]) ).

fof(f686,definition,
    ( spl0_100
  <=> c2_1(a2198) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f687,plain,
    ( ~ c2_1(a2198)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f689,plain,
    ( ~ spl0_100
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f130,f377,f686]) ).

fof(f691,definition,
    ( spl0_101
  <=> c1_1(a2198) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f693,plain,
    ( ~ spl0_101
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f131,f377,f691]) ).

fof(f695,definition,
    ( spl0_102
  <=> c0_1(a2198) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f697,plain,
    ( spl0_102
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f132,f377,f695]) ).

fof(f700,definition,
    ( spl0_103
  <=> c1_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f703,plain,
    ( ~ spl0_103
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f134,f258,f700]) ).

fof(f705,definition,
    ( spl0_104
  <=> c3_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f706,plain,
    ( c3_1(a2197)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f707,plain,
    ( spl0_104
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f135,f258,f705]) ).

fof(f709,definition,
    ( spl0_105
  <=> c2_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f710,plain,
    ( c2_1(a2197)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f711,plain,
    ( spl0_105
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f136,f258,f709]) ).

fof(f714,definition,
    ( spl0_106
  <=> c3_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f715,plain,
    ( ~ c3_1(a2195)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f717,plain,
    ( ~ spl0_106
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f138,f252,f714]) ).

fof(f719,definition,
    ( spl0_107
  <=> c2_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f720,plain,
    ( ~ c2_1(a2195)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f721,plain,
    ( ~ spl0_107
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f139,f252,f719]) ).

fof(f723,definition,
    ( spl0_108
  <=> c1_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f725,plain,
    ( ~ spl0_108
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f140,f252,f723]) ).

fof(f726,plain,
    ( spl0_21
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f141,f252,f322]) ).

fof(f728,definition,
    ( spl0_109
  <=> c2_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f729,plain,
    ( ~ c2_1(a2194)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f728]) ).

fof(f731,plain,
    ( ~ spl0_109
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f142,f300,f728]) ).

fof(f733,definition,
    ( spl0_110
  <=> c3_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f734,plain,
    ( c3_1(a2194)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f735,plain,
    ( spl0_110
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f143,f300,f733]) ).

fof(f737,definition,
    ( spl0_111
  <=> c0_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f739,plain,
    ( spl0_111
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f144,f300,f737]) ).

fof(f740,plain,
    ( spl0_21
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f145,f300,f322]) ).

fof(f742,definition,
    ( spl0_112
  <=> c2_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f743,plain,
    ( ~ c2_1(a2193)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f745,plain,
    ( ~ spl0_112
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f146,f286,f742]) ).

fof(f747,definition,
    ( spl0_113
  <=> c1_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ spl0_113
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f147,f286,f747]) ).

fof(f751,definition,
    ( spl0_114
  <=> c3_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f752,plain,
    ( c3_1(a2193)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f753,plain,
    ( spl0_114
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f148,f286,f751]) ).

fof(f756,definition,
    ( spl0_115
  <=> c3_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f757,plain,
    ( ~ c3_1(a2191)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f759,plain,
    ( ~ spl0_115
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f150,f289,f756]) ).

fof(f761,definition,
    ( spl0_116
  <=> c1_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f763,plain,
    ( ~ spl0_116
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f151,f289,f761]) ).

fof(f765,definition,
    ( spl0_117
  <=> c0_1(a2191) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f767,plain,
    ( spl0_117
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f152,f289,f765]) ).

fof(f770,definition,
    ( spl0_118
  <=> c3_1(a2189) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f771,plain,
    ( ~ c3_1(a2189)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f773,plain,
    ( ~ spl0_118
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f154,f370,f770]) ).

fof(f775,definition,
    ( spl0_119
  <=> c2_1(a2189) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f777,plain,
    ( ~ spl0_119
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f155,f370,f775]) ).

fof(f779,definition,
    ( spl0_120
  <=> c1_1(a2189) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f781,plain,
    ( spl0_120
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f156,f370,f779]) ).

fof(f784,definition,
    ( spl0_121
  <=> c1_1(a2187) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f787,plain,
    ( ~ spl0_121
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f158,f336,f784]) ).

fof(f789,definition,
    ( spl0_122
  <=> c2_1(a2187) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f790,plain,
    ( c2_1(a2187)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f791,plain,
    ( spl0_122
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f159,f336,f789]) ).

fof(f793,definition,
    ( spl0_123
  <=> c0_1(a2187) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f795,plain,
    ( spl0_123
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f160,f336,f793]) ).

fof(f798,definition,
    ( spl0_124
  <=> c1_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f801,plain,
    ( ~ spl0_124
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f162,f293,f798]) ).

fof(f803,definition,
    ( spl0_125
  <=> c0_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ spl0_125
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f163,f293,f803]) ).

fof(f807,definition,
    ( spl0_126
  <=> c3_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f808,plain,
    ( c3_1(a2186)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f809,plain,
    ( spl0_126
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f164,f293,f807]) ).

fof(f840,definition,
    ( spl0_133
  <=> c0_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f843,plain,
    ( ~ spl0_133
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f174,f351,f840]) ).

fof(f845,definition,
    ( spl0_134
  <=> c3_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f846,plain,
    ( c3_1(a2182)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f847,plain,
    ( spl0_134
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f175,f351,f845]) ).

fof(f849,definition,
    ( spl0_135
  <=> c2_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f850,plain,
    ( c2_1(a2182)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f851,plain,
    ( spl0_135
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f176,f351,f849]) ).

fof(f896,definition,
    ( spl0_145
  <=> c3_1(a2177) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f897,plain,
    ( ~ c3_1(a2177)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f896]) ).

fof(f899,plain,
    ( ~ spl0_145
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f190,f255,f896]) ).

fof(f901,definition,
    ( spl0_146
  <=> c1_1(a2177) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f903,plain,
    ( ~ spl0_146
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f191,f255,f901]) ).

fof(f905,definition,
    ( spl0_147
  <=> c0_1(a2177) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f907,plain,
    ( ~ spl0_147
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f192,f255,f905]) ).

fof(f908,plain,
    ( spl0_21
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f193,f255,f322]) ).

fof(f910,definition,
    ( spl0_148
  <=> c3_1(a2176) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f911,plain,
    ( ~ c3_1(a2176)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f913,plain,
    ( ~ spl0_148
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f194,f265,f910]) ).

fof(f915,definition,
    ( spl0_149
  <=> c0_1(a2176) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f917,plain,
    ( ~ spl0_149
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f195,f265,f915]) ).

fof(f919,definition,
    ( spl0_150
  <=> c1_1(a2176) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f921,plain,
    ( spl0_150
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f196,f265,f919]) ).

fof(f924,definition,
    ( spl0_151
  <=> c3_1(a2175) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ c3_1(a2175)
    | spl0_151 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f927,plain,
    ( ~ spl0_151
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f198,f333,f924]) ).

fof(f929,definition,
    ( spl0_152
  <=> c0_1(a2175) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f931,plain,
    ( ~ spl0_152
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f199,f333,f929]) ).

fof(f933,definition,
    ( spl0_153
  <=> c2_1(a2175) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f934,plain,
    ( c2_1(a2175)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f935,plain,
    ( spl0_153
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f200,f333,f933]) ).

fof(f938,definition,
    ( spl0_154
  <=> c0_1(a2174) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f941,plain,
    ( ~ spl0_154
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f202,f296,f938]) ).

fof(f943,definition,
    ( spl0_155
  <=> c2_1(a2174) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f944,plain,
    ( c2_1(a2174)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f945,plain,
    ( spl0_155
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f203,f296,f943]) ).

fof(f947,definition,
    ( spl0_156
  <=> c1_1(a2174) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f949,plain,
    ( spl0_156
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f204,f296,f947]) ).

fof(f954,definition,
    ( spl0_157
  <=> c2_1(a2262) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f968,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_28 ),
    inference(resolution,[],[f348,f340]) ).

fof(f974,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_26
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f968]) ).

fof(f976,plain,
    ( spl0_35
    | ~ spl0_26
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f974,f347,f339,f373]) ).

fof(f989,definition,
    ( spl0_159
  <=> c0_1(a2219) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1001,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(resolution,[],[f363,f340]) ).

fof(f1008,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f1001]) ).

fof(f1011,plain,
    ( spl0_35
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1008,f362,f339,f373]) ).

fof(f1012,plain,
    ( ~ c0_1(a2196)
    | ~ c1_1(a2196)
    | ~ spl0_27
    | ~ spl0_67 ),
    inference(resolution,[],[f533,f344]) ).

fof(f1019,definition,
    ( spl0_161
  <=> c0_1(a2196) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1022,plain,
    ( ~ spl0_69
    | ~ spl0_161
    | ~ spl0_27
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1012,f532,f343,f1019,f541]) ).

fof(f1030,definition,
    ( spl0_162
  <=> c1_1(a2216) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1043,plain,
    ( c2_1(a2216)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f1062,plain,
    ( c1_1(a2187)
    | ~ c0_1(a2187)
    | ~ spl0_42
    | ~ spl0_122 ),
    inference(resolution,[],[f401,f790]) ).

fof(f1063,plain,
    ( c1_1(a2219)
    | ~ c0_1(a2219)
    | ~ spl0_42
    | ~ spl0_90 ),
    inference(resolution,[],[f401,f640]) ).

fof(f1067,plain,
    ( ~ spl0_159
    | spl0_89
    | ~ spl0_42
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1063,f639,f400,f635,f989]) ).

fof(f1070,plain,
    ( ~ spl0_123
    | spl0_121
    | ~ spl0_42
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1062,f789,f400,f784,f793]) ).

fof(f1079,plain,
    ( ~ c2_1(a2177)
    | c1_1(a2177)
    | ~ spl0_43
    | spl0_145 ),
    inference(resolution,[],[f407,f897]) ).

fof(f1083,plain,
    ( ~ c2_1(a2219)
    | c1_1(a2219)
    | ~ spl0_43
    | spl0_88 ),
    inference(resolution,[],[f407,f631]) ).

fof(f1087,plain,
    ( spl0_89
    | ~ spl0_90
    | ~ spl0_43
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1083,f630,f406,f639,f635]) ).

fof(f1092,definition,
    ( spl0_164
  <=> c2_1(a2177) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1100,plain,
    ( ~ c0_1(a2191)
    | c1_1(a2191)
    | ~ spl0_44
    | spl0_115 ),
    inference(resolution,[],[f411,f757]) ).

fof(f1116,plain,
    ( ~ c0_1(a2216)
    | c1_1(a2216)
    | ~ spl0_45
    | spl0_92 ),
    inference(resolution,[],[f417,f650]) ).

fof(f1122,plain,
    ( spl0_162
    | ~ spl0_93
    | ~ spl0_45
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1116,f649,f416,f653,f1030]) ).

fof(f1126,plain,
    ( ~ c0_1(a2198)
    | c1_1(a2198)
    | ~ spl0_45
    | spl0_100 ),
    inference(resolution,[],[f687,f417]) ).

fof(f1166,definition,
    ( spl0_167
  <=> c1_1(a2182) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1170,plain,
    ( ~ c2_1(a2175)
    | c1_1(a2175)
    | ~ spl0_43
    | spl0_151 ),
    inference(resolution,[],[f925,f407]) ).

fof(f1172,definition,
    ( spl0_168
  <=> c1_1(a2175) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1183,plain,
    ( ~ c0_1(a2196)
    | ~ c2_1(a2196)
    | ~ spl0_26
    | ~ spl0_67 ),
    inference(resolution,[],[f340,f533]) ).

fof(f1201,plain,
    ( c1_1(a2195)
    | c2_1(a2195)
    | ~ spl0_47
    | spl0_106 ),
    inference(resolution,[],[f426,f715]) ).

fof(f1210,plain,
    ( spl0_107
    | spl0_108
    | ~ spl0_47
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1201,f714,f425,f723,f719]) ).

fof(f1215,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_43
    | ~ spl0_48 ),
    inference(resolution,[],[f431,f407]) ).

fof(f1217,plain,
    ( c0_1(a2186)
    | ~ c2_1(a2186)
    | ~ spl0_48
    | ~ spl0_126 ),
    inference(resolution,[],[f431,f808]) ).

fof(f1218,plain,
    ( c0_1(a2262)
    | ~ c2_1(a2262)
    | ~ spl0_48
    | ~ spl0_83 ),
    inference(resolution,[],[f431,f608]) ).

fof(f1221,plain,
    ( c0_1(a2196)
    | ~ c2_1(a2196)
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(resolution,[],[f431,f533]) ).

fof(f1222,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_43
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f1215]) ).

fof(f1226,definition,
    ( spl0_169
  <=> c2_1(a2186) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1232,plain,
    ( spl0_60
    | ~ spl0_43
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1222,f430,f406,f493]) ).

fof(f1234,plain,
    ( ~ spl0_68
    | ~ spl0_161
    | ~ spl0_26
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1183,f532,f339,f1019,f537]) ).

fof(f1235,plain,
    ( c0_1(a2174)
    | ~ c1_1(a2174)
    | ~ spl0_50
    | ~ spl0_155 ),
    inference(resolution,[],[f442,f944]) ).

fof(f1248,definition,
    ( spl0_170
  <=> c2_1(a2176) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1269,plain,
    ( ~ c2_1(a2175)
    | c0_1(a2175)
    | ~ spl0_53
    | spl0_151 ),
    inference(resolution,[],[f455,f925]) ).

fof(f1270,plain,
    ( ~ c2_1(a2176)
    | c0_1(a2176)
    | ~ spl0_53
    | spl0_148 ),
    inference(resolution,[],[f455,f911]) ).

fof(f1271,plain,
    ( ~ c2_1(a2177)
    | c0_1(a2177)
    | ~ spl0_53
    | spl0_145 ),
    inference(resolution,[],[f455,f897]) ).

fof(f1285,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_51
    | ~ spl0_54 ),
    inference(resolution,[],[f459,f446]) ).

fof(f1286,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_54 ),
    inference(resolution,[],[f459,f431]) ).

fof(f1289,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_54 ),
    inference(resolution,[],[f459,f326]) ).

fof(f1290,plain,
    ( ~ c1_1(a2175)
    | c0_1(a2175)
    | ~ spl0_54
    | spl0_151 ),
    inference(resolution,[],[f459,f925]) ).

fof(f1291,plain,
    ( ~ c1_1(a2176)
    | c0_1(a2176)
    | ~ spl0_54
    | spl0_148 ),
    inference(resolution,[],[f459,f911]) ).

fof(f1299,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1289]) ).

fof(f1301,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1286]) ).

fof(f1302,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_51
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1285]) ).

fof(f1311,plain,
    ( spl0_50
    | ~ spl0_22
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1299,f458,f325,f441]) ).

fof(f1312,plain,
    ( spl0_50
    | ~ spl0_48
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1301,f458,f430,f441]) ).

fof(f1313,plain,
    ( spl0_56
    | ~ spl0_51
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1302,f458,f445,f472]) ).

fof(f1315,plain,
    ( spl0_101
    | ~ spl0_102
    | ~ spl0_45
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1126,f686,f416,f695,f691]) ).

fof(f1342,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_32
    | ~ spl0_51 ),
    inference(resolution,[],[f363,f446]) ).

fof(f1353,plain,
    ( ~ c1_1(a2216)
    | ~ c0_1(a2216)
    | ~ spl0_32
    | spl0_91 ),
    inference(resolution,[],[f363,f645]) ).

fof(f1358,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_32
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1342]) ).

fof(f1359,plain,
    ( ~ spl0_93
    | ~ spl0_162
    | ~ spl0_32
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1353,f644,f362,f1030,f653]) ).

fof(f1362,plain,
    ( spl0_33
    | ~ spl0_32
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1358,f445,f362,f366]) ).

fof(f1367,definition,
    ( spl0_172
  <=> c0_1(a2195) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1377,plain,
    ( c0_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(resolution,[],[f706,f431]) ).

fof(f1382,definition,
    ( spl0_173
  <=> c0_1(a2197) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1386,plain,
    ( ~ c0_1(a2194)
    | ~ c1_1(a2194)
    | ~ spl0_27
    | ~ spl0_110 ),
    inference(resolution,[],[f734,f344]) ).

fof(f1389,definition,
    ( spl0_174
  <=> c1_1(a2194) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1392,plain,
    ( ~ spl0_174
    | ~ spl0_111
    | ~ spl0_27
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1386,f733,f343,f737,f1389]) ).

fof(f1423,plain,
    ( ~ c1_1(a2194)
    | ~ c0_1(a2194)
    | ~ spl0_33
    | spl0_109 ),
    inference(resolution,[],[f367,f729]) ).

fof(f1439,plain,
    ( ~ spl0_111
    | ~ spl0_174
    | ~ spl0_33
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1423,f728,f366,f1389,f737]) ).

fof(f1446,plain,
    ( ~ c0_1(a2188)
    | ~ c1_1(a2188)
    | ~ spl0_35
    | ~ spl0_70 ),
    inference(resolution,[],[f374,f547]) ).

fof(f1449,plain,
    ( ~ spl0_71
    | ~ spl0_72
    | ~ spl0_35
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1446,f546,f373,f555,f551]) ).

fof(f1469,plain,
    ( c1_1(a2182)
    | ~ c2_1(a2182)
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(resolution,[],[f390,f846]) ).

fof(f1470,plain,
    ( c1_1(a2186)
    | ~ c2_1(a2186)
    | ~ spl0_39
    | ~ spl0_126 ),
    inference(resolution,[],[f390,f808]) ).

fof(f1473,plain,
    ( c1_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_39
    | ~ spl0_104 ),
    inference(resolution,[],[f390,f706]) ).

fof(f1495,plain,
    ( c1_1(a2194)
    | ~ c0_1(a2194)
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(resolution,[],[f394,f734]) ).

fof(f1503,plain,
    ( ~ spl0_111
    | spl0_174
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1495,f733,f393,f1389,f737]) ).

fof(f1505,definition,
    ( spl0_176
  <=> c0_1(a2193) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1534,plain,
    ( c1_1(a2197)
    | ~ c0_1(a2197)
    | ~ spl0_42
    | ~ spl0_105 ),
    inference(resolution,[],[f401,f710]) ).

fof(f1535,plain,
    ( c1_1(a2216)
    | ~ c0_1(a2216)
    | ~ spl0_42
    | ~ spl0_92 ),
    inference(resolution,[],[f401,f1043]) ).

fof(f1538,plain,
    ( ~ spl0_93
    | spl0_162
    | ~ spl0_42
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1535,f649,f400,f1030,f653]) ).

fof(f1539,plain,
    ( ~ spl0_173
    | spl0_103
    | ~ spl0_42
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1534,f709,f400,f700,f1382]) ).

fof(f1543,plain,
    ( ~ c0_1(a2194)
    | c1_1(a2194)
    | ~ spl0_45
    | spl0_109 ),
    inference(resolution,[],[f417,f729]) ).

fof(f1544,plain,
    ( ~ c0_1(a2195)
    | c1_1(a2195)
    | ~ spl0_45
    | spl0_107 ),
    inference(resolution,[],[f417,f720]) ).

fof(f1557,plain,
    ( spl0_108
    | ~ spl0_172
    | ~ spl0_45
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1544,f719,f416,f1367,f723]) ).

fof(f1558,plain,
    ( spl0_174
    | ~ spl0_111
    | ~ spl0_45
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1543,f728,f416,f737,f1389]) ).

fof(f1564,plain,
    ( c1_1(a2177)
    | c2_1(a2177)
    | ~ spl0_47
    | spl0_145 ),
    inference(resolution,[],[f426,f897]) ).

fof(f1573,plain,
    ( spl0_164
    | spl0_146
    | ~ spl0_47
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1564,f896,f425,f901,f1092]) ).

fof(f1607,plain,
    ( c2_1(a2194)
    | ~ c0_1(a2194)
    | ~ spl0_52
    | ~ spl0_110 ),
    inference(resolution,[],[f452,f734]) ).

fof(f1615,plain,
    ( ~ spl0_111
    | spl0_109
    | ~ spl0_52
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1607,f733,f451,f728,f737]) ).

fof(f1627,plain,
    ( c0_1(a2186)
    | c2_1(a2186)
    | ~ spl0_55
    | ~ spl0_126 ),
    inference(resolution,[],[f466,f808]) ).

fof(f1641,plain,
    ( spl0_169
    | spl0_125
    | ~ spl0_55
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1627,f807,f465,f803,f1226]) ).

fof(f1646,plain,
    ( spl0_116
    | ~ spl0_117
    | ~ spl0_44
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1100,f756,f410,f765,f761]) ).

fof(f1658,plain,
    ( ~ c1_1(a2262)
    | ~ c2_1(a2262)
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(resolution,[],[f608,f326]) ).

fof(f1678,plain,
    ( ~ spl0_156
    | spl0_154
    | ~ spl0_50
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1235,f943,f441,f938,f947]) ).

fof(f1687,plain,
    ( ~ c0_1(a2195)
    | c2_1(a2195)
    | ~ spl0_49
    | spl0_106 ),
    inference(resolution,[],[f715,f436]) ).

fof(f1690,plain,
    ( spl0_107
    | ~ spl0_172
    | ~ spl0_49
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1687,f714,f435,f1367,f719]) ).

fof(f1728,plain,
    ( ~ c1_1(a2176)
    | c2_1(a2176)
    | ~ spl0_37
    | spl0_148 ),
    inference(resolution,[],[f382,f911]) ).

fof(f1730,plain,
    ( ~ c1_1(a2189)
    | c2_1(a2189)
    | ~ spl0_37
    | spl0_118 ),
    inference(resolution,[],[f382,f771]) ).

fof(f1736,plain,
    ( spl0_119
    | ~ spl0_120
    | ~ spl0_37
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1730,f770,f381,f779,f775]) ).

fof(f1738,plain,
    ( spl0_170
    | ~ spl0_150
    | ~ spl0_37
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1728,f910,f381,f919,f1248]) ).

fof(f1750,plain,
    ( ~ c0_1(a2195)
    | c1_1(a2195)
    | ~ spl0_44
    | spl0_106 ),
    inference(resolution,[],[f411,f715]) ).

fof(f1755,plain,
    ( spl0_108
    | ~ spl0_172
    | ~ spl0_44
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1750,f714,f410,f1367,f723]) ).

fof(f1790,plain,
    ( ~ c1_1(a2268)
    | c0_1(a2268)
    | ~ spl0_56
    | spl0_76 ),
    inference(resolution,[],[f473,f575]) ).

fof(f1797,plain,
    ( spl0_77
    | ~ spl0_78
    | ~ spl0_56
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1790,f574,f472,f583,f579]) ).

fof(f1805,plain,
    ( c0_1(a2177)
    | c2_1(a2177)
    | ~ spl0_57
    | spl0_145 ),
    inference(resolution,[],[f477,f897]) ).

fof(f1817,plain,
    ( spl0_164
    | spl0_147
    | ~ spl0_57
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1805,f896,f476,f905,f1092]) ).

fof(f1828,plain,
    ( c0_1(a2186)
    | c1_1(a2186)
    | ~ spl0_58
    | ~ spl0_126 ),
    inference(resolution,[],[f482,f808]) ).

fof(f1829,plain,
    ( c0_1(a2193)
    | c1_1(a2193)
    | ~ spl0_58
    | ~ spl0_114 ),
    inference(resolution,[],[f482,f752]) ).

fof(f1831,plain,
    ( c0_1(a2197)
    | c1_1(a2197)
    | ~ spl0_58
    | ~ spl0_104 ),
    inference(resolution,[],[f482,f706]) ).

fof(f1839,plain,
    ( spl0_113
    | spl0_176
    | ~ spl0_58
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1829,f751,f481,f1505,f747]) ).

fof(f1884,plain,
    ( c2_1(a2262)
    | ~ c1_1(a2262)
    | ~ spl0_51
    | ~ spl0_83 ),
    inference(resolution,[],[f446,f608]) ).

fof(f1891,plain,
    ( ~ spl0_84
    | spl0_157
    | ~ spl0_51
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1884,f607,f445,f954,f611]) ).

fof(f1898,plain,
    ( c0_1(a2175)
    | c1_1(a2175)
    | ~ spl0_60
    | ~ spl0_153 ),
    inference(resolution,[],[f494,f934]) ).

fof(f1899,plain,
    ( c0_1(a2182)
    | c1_1(a2182)
    | ~ spl0_60
    | ~ spl0_135 ),
    inference(resolution,[],[f494,f850]) ).

fof(f1902,plain,
    ( c0_1(a2197)
    | c1_1(a2197)
    | ~ spl0_60
    | ~ spl0_105 ),
    inference(resolution,[],[f494,f710]) ).

fof(f1904,plain,
    ( c0_1(a2219)
    | c1_1(a2219)
    | ~ spl0_60
    | ~ spl0_90 ),
    inference(resolution,[],[f494,f640]) ).

fof(f1911,plain,
    ( spl0_89
    | spl0_159
    | ~ spl0_60
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1904,f639,f493,f989,f635]) ).

fof(f1913,plain,
    ( spl0_103
    | spl0_173
    | ~ spl0_60
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1902,f709,f493,f1382,f700]) ).

fof(f1933,plain,
    ( ~ c0_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_26
    | ~ spl0_104 ),
    inference(resolution,[],[f706,f340]) ).

fof(f1935,plain,
    ( c1_1(a2197)
    | ~ c0_1(a2197)
    | ~ spl0_40
    | ~ spl0_104 ),
    inference(resolution,[],[f706,f394]) ).

fof(f1936,plain,
    ( ~ spl0_173
    | spl0_103
    | ~ spl0_40
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1935,f705,f393,f700,f1382]) ).

fof(f1937,plain,
    ( ~ spl0_105
    | ~ spl0_173
    | ~ spl0_26
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1933,f705,f339,f1382,f709]) ).

fof(f1994,plain,
    ( ~ spl0_157
    | ~ spl0_84
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1658,f607,f325,f611,f954]) ).

fof(f2012,plain,
    ( c1_1(a2193)
    | ~ c0_1(a2193)
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(resolution,[],[f752,f394]) ).

fof(f2013,plain,
    ( ~ spl0_176
    | spl0_113
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2012,f751,f393,f747,f1505]) ).

fof(f2023,plain,
    ( ~ c1_1(a2196)
    | ~ c2_1(a2196)
    | ~ spl0_22
    | ~ spl0_67 ),
    inference(resolution,[],[f326,f533]) ).

fof(f2025,plain,
    ( ~ spl0_68
    | ~ spl0_69
    | ~ spl0_22
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2023,f532,f325,f541,f537]) ).

fof(f2054,plain,
    ( c0_1(a2175)
    | ~ c1_1(a2175)
    | ~ spl0_50
    | ~ spl0_153 ),
    inference(resolution,[],[f442,f934]) ).

fof(f2064,plain,
    ( c0_1(a2196)
    | ~ c1_1(a2196)
    | ~ spl0_50
    | ~ spl0_68 ),
    inference(resolution,[],[f442,f538]) ).

fof(f2067,plain,
    ( ~ spl0_69
    | spl0_161
    | ~ spl0_50
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2064,f537,f441,f1019,f541]) ).

fof(f2073,plain,
    ( ~ spl0_168
    | spl0_152
    | ~ spl0_50
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f2054,f933,f441,f929,f1172]) ).

fof(f2094,plain,
    ( c0_1(a2177)
    | c1_1(a2177)
    | ~ spl0_61
    | spl0_145 ),
    inference(resolution,[],[f502,f897]) ).

fof(f2100,plain,
    ( c0_1(a2195)
    | c1_1(a2195)
    | ~ spl0_61
    | spl0_106 ),
    inference(resolution,[],[f502,f715]) ).

fof(f2106,plain,
    ( spl0_108
    | spl0_172
    | ~ spl0_61
    | spl0_106 ),
    inference(avatar_split_clause,[],[f2100,f714,f501,f1367,f723]) ).

fof(f2110,plain,
    ( spl0_146
    | spl0_147
    | ~ spl0_61
    | spl0_145 ),
    inference(avatar_split_clause,[],[f2094,f896,f501,f905,f901]) ).

fof(f2113,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_62 ),
    inference(resolution,[],[f508,f382]) ).

fof(f2115,plain,
    ( c0_1(a2182)
    | ~ c1_1(a2182)
    | ~ spl0_62
    | ~ spl0_134 ),
    inference(resolution,[],[f508,f846]) ).

fof(f2119,plain,
    ( c0_1(a2262)
    | ~ c1_1(a2262)
    | ~ spl0_62
    | ~ spl0_83 ),
    inference(resolution,[],[f508,f608]) ).

fof(f2121,plain,
    ( c0_1(a2196)
    | ~ c1_1(a2196)
    | ~ spl0_62
    | ~ spl0_67 ),
    inference(resolution,[],[f508,f533]) ).

fof(f2122,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_37
    | ~ spl0_62 ),
    inference(duplicate_literal_removal,[],[f2113]) ).

fof(f2127,plain,
    ( c0_1(a2193)
    | c1_1(a2193)
    | ~ spl0_63
    | spl0_112 ),
    inference(resolution,[],[f512,f743]) ).

fof(f2128,plain,
    ( c0_1(a2195)
    | c1_1(a2195)
    | ~ spl0_63
    | spl0_107 ),
    inference(resolution,[],[f512,f720]) ).

fof(f2148,plain,
    ( ~ spl0_105
    | spl0_103
    | ~ spl0_39
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1473,f705,f389,f700,f709]) ).

fof(f2151,plain,
    ( ~ spl0_169
    | spl0_124
    | ~ spl0_39
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1470,f807,f389,f798,f1226]) ).

fof(f2152,plain,
    ( ~ spl0_169
    | spl0_125
    | ~ spl0_48
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1217,f807,f430,f803,f1226]) ).

fof(f2153,plain,
    ( ~ spl0_157
    | spl0_82
    | ~ spl0_48
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1218,f607,f430,f602,f954]) ).

fof(f2155,plain,
    ( ~ spl0_68
    | spl0_161
    | ~ spl0_48
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1221,f532,f430,f1019,f537]) ).

fof(f2157,plain,
    ( ~ spl0_105
    | spl0_173
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1377,f705,f430,f1382,f709]) ).

fof(f2161,plain,
    ( spl0_152
    | ~ spl0_153
    | ~ spl0_53
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1269,f924,f454,f933,f929]) ).

fof(f2162,plain,
    ( spl0_149
    | ~ spl0_170
    | ~ spl0_53
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1270,f910,f454,f1248,f915]) ).

fof(f2163,plain,
    ( spl0_147
    | ~ spl0_164
    | ~ spl0_53
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1271,f896,f454,f1092,f905]) ).

fof(f2166,plain,
    ( spl0_152
    | ~ spl0_168
    | ~ spl0_54
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1290,f924,f458,f1172,f929]) ).

fof(f2167,plain,
    ( spl0_149
    | ~ spl0_150
    | ~ spl0_54
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1291,f910,f458,f919,f915]) ).

fof(f2173,plain,
    ( ~ spl0_84
    | spl0_82
    | ~ spl0_62
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2119,f607,f507,f602,f611]) ).

fof(f2181,plain,
    ( spl0_146
    | ~ spl0_164
    | ~ spl0_43
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1079,f896,f406,f1092,f901]) ).

fof(f2185,plain,
    ( spl0_168
    | ~ spl0_153
    | ~ spl0_43
    | spl0_151 ),
    inference(avatar_split_clause,[],[f1170,f924,f406,f933,f1172]) ).

fof(f2190,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_58
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1828,f807,f481,f803,f798]) ).

fof(f2191,plain,
    ( spl0_103
    | spl0_173
    | ~ spl0_58
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1831,f705,f481,f1382,f700]) ).

fof(f2193,plain,
    ( spl0_168
    | spl0_152
    | ~ spl0_60
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1898,f933,f493,f929,f1172]) ).

fof(f2194,plain,
    ( spl0_167
    | spl0_133
    | ~ spl0_60
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1899,f849,f493,f840,f1166]) ).

fof(f2198,plain,
    ( spl0_113
    | spl0_176
    | ~ spl0_63
    | spl0_112 ),
    inference(avatar_split_clause,[],[f2127,f742,f511,f1505,f747]) ).

fof(f2199,plain,
    ( spl0_108
    | spl0_172
    | ~ spl0_63
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2128,f719,f511,f1367,f723]) ).

fof(f2205,plain,
    ( ~ spl0_135
    | spl0_167
    | ~ spl0_39
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1469,f845,f389,f1166,f849]) ).

fof(f2206,plain,
    ( ~ spl0_167
    | spl0_133
    | ~ spl0_62
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2115,f845,f507,f840,f1166]) ).

fof(f2213,plain,
    ( ~ spl0_69
    | spl0_161
    | ~ spl0_62
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2121,f532,f507,f1019,f541]) ).

fof(f2214,plain,
    ( spl0_56
    | ~ spl0_37
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2122,f507,f381,f472]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f260]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f274]) ).

cnf(s5,plain,
    ( spl0_6
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f291]) ).

cnf(s6,plain,
    ( spl0_12
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f298]) ).

cnf(s7,plain,
    ( spl0_1
    | spl0_2
    | spl0_15 ),
    inference(sat_conversion,[],[f302]) ).

cnf(s15,plain,
    ( spl0_8
    | spl0_14
    | ~ spl0_21
    | spl0_28 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s19,plain,
    ( spl0_3
    | spl0_13
    | ~ spl0_21
    | spl0_33 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s20,plain,
    ( ~ spl0_21
    | spl0_33
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s21,plain,
    ( ~ spl0_21
    | spl0_32
    | spl0_33
    | spl0_36 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s25,plain,
    ( spl0_1
    | spl0_12
    | ~ spl0_21
    | spl0_40 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s27,plain,
    ( spl0_13
    | ~ spl0_21
    | spl0_39
    | spl0_42 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s28,plain,
    ( spl0_10
    | ~ spl0_21
    | spl0_39
    | spl0_42 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s29,plain,
    ( ~ spl0_21
    | spl0_27
    | spl0_32
    | spl0_43 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s30,plain,
    ( spl0_14
    | spl0_15
    | ~ spl0_21
    | spl0_44 ),
    inference(sat_conversion,[],[f412]) ).

cnf(s33,plain,
    ( spl0_1
    | ~ spl0_21
    | spl0_45 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s35,plain,
    ( spl0_5
    | ~ spl0_21
    | spl0_43
    | spl0_45 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s36,plain,
    ( ~ spl0_21
    | spl0_26
    | spl0_40
    | spl0_47 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s37,plain,
    ( ~ spl0_21
    | spl0_41
    | spl0_44
    | spl0_47 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s38,plain,
    ( spl0_5
    | ~ spl0_21
    | spl0_22
    | spl0_48 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s40,plain,
    ( ~ spl0_21
    | spl0_39
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s43,plain,
    ( spl0_2
    | spl0_15
    | ~ spl0_21
    | spl0_50 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s46,plain,
    ( ~ spl0_21
    | spl0_36
    | spl0_44
    | spl0_50 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s47,plain,
    ( ~ spl0_21
    | spl0_42
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s48,plain,
    ( spl0_3
    | ~ spl0_21
    | spl0_31
    | spl0_54 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s49,plain,
    ( spl0_1
    | spl0_15
    | ~ spl0_21
    | spl0_54 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s50,plain,
    ( spl0_11
    | ~ spl0_21
    | spl0_37
    | spl0_54 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s51,plain,
    ( ~ spl0_21
    | spl0_40
    | spl0_50
    | spl0_54 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s52,plain,
    ( ~ spl0_21
    | spl0_22
    | spl0_52
    | spl0_55 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s53,plain,
    ( ~ spl0_21
    | spl0_25
    | spl0_33
    | spl0_55 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s58,plain,
    ( ~ spl0_21
    | spl0_25
    | spl0_40
    | spl0_57 ),
    inference(sat_conversion,[],[f479]) ).

cnf(s61,plain,
    ( spl0_14
    | ~ spl0_21
    | spl0_51
    | spl0_58 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s62,plain,
    ( ~ spl0_21
    | spl0_47
    | spl0_50
    | spl0_58 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s63,plain,
    ( ~ spl0_21
    | spl0_29
    | spl0_53
    | spl0_58 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s64,plain,
    ( ~ spl0_21
    | spl0_37
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s68,plain,
    ( ~ spl0_21
    | spl0_27
    | spl0_50
    | spl0_60 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s70,plain,
    ( spl0_5
    | ~ spl0_21
    | spl0_26
    | spl0_61 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s71,plain,
    ( ~ spl0_21
    | spl0_24
    | spl0_39
    | spl0_61 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s72,plain,
    ( ~ spl0_21
    | spl0_42
    | spl0_47
    | spl0_61 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s73,plain,
    ( ~ spl0_21
    | spl0_53
    | spl0_61
    | spl0_62 ),
    inference(sat_conversion,[],[f509]) ).

cnf(s74,plain,
    ( spl0_14
    | ~ spl0_21
    | spl0_39
    | spl0_63 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s81,plain,
    ( ~ spl0_31
    | spl0_67 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s82,plain,
    ( ~ spl0_31
    | spl0_68 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s83,plain,
    ( ~ spl0_31
    | spl0_69 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s85,plain,
    ( ~ spl0_41
    | spl0_70 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s86,plain,
    ( ~ spl0_41
    | spl0_71 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s87,plain,
    ( ~ spl0_41
    | spl0_72 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s93,plain,
    ( ~ spl0_7
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s94,plain,
    ( ~ spl0_7
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s95,plain,
    ( ~ spl0_7
    | spl0_78 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s101,plain,
    ( ~ spl0_6
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s102,plain,
    ( ~ spl0_6
    | spl0_83 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s103,plain,
    ( ~ spl0_6
    | spl0_84 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s109,plain,
    ( ~ spl0_8
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s110,plain,
    ( ~ spl0_8
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s111,plain,
    ( ~ spl0_8
    | spl0_90 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s113,plain,
    ( ~ spl0_10
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s114,plain,
    ( ~ spl0_10
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s115,plain,
    ( ~ spl0_10
    | spl0_93 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s125,plain,
    ( ~ spl0_36
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s126,plain,
    ( ~ spl0_36
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s127,plain,
    ( ~ spl0_36
    | spl0_102 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s129,plain,
    ( ~ spl0_3
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s130,plain,
    ( ~ spl0_3
    | spl0_104 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s131,plain,
    ( ~ spl0_3
    | spl0_105 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s133,plain,
    ( ~ spl0_1
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s134,plain,
    ( ~ spl0_1
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s135,plain,
    ( ~ spl0_1
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s136,plain,
    ( ~ spl0_1
    | spl0_21 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s137,plain,
    ( ~ spl0_15
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s138,plain,
    ( ~ spl0_15
    | spl0_110 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s139,plain,
    ( ~ spl0_15
    | spl0_111 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s140,plain,
    ( ~ spl0_15
    | spl0_21 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s141,plain,
    ( ~ spl0_11
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s142,plain,
    ( ~ spl0_11
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s143,plain,
    ( ~ spl0_11
    | spl0_114 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s145,plain,
    ( ~ spl0_12
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s146,plain,
    ( ~ spl0_12
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s147,plain,
    ( ~ spl0_12
    | spl0_117 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s149,plain,
    ( ~ spl0_34
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s150,plain,
    ( ~ spl0_34
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s151,plain,
    ( ~ spl0_34
    | spl0_120 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s153,plain,
    ( ~ spl0_25
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s154,plain,
    ( ~ spl0_25
    | spl0_122 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s155,plain,
    ( ~ spl0_25
    | spl0_123 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s157,plain,
    ( ~ spl0_13
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s158,plain,
    ( ~ spl0_13
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s159,plain,
    ( ~ spl0_13
    | spl0_126 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s169,plain,
    ( ~ spl0_29
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s170,plain,
    ( ~ spl0_29
    | spl0_134 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s171,plain,
    ( ~ spl0_29
    | spl0_135 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s185,plain,
    ( ~ spl0_2
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s186,plain,
    ( ~ spl0_2
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s187,plain,
    ( ~ spl0_2
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s188,plain,
    ( ~ spl0_2
    | spl0_21 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s189,plain,
    ( ~ spl0_5
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s190,plain,
    ( ~ spl0_5
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s191,plain,
    ( ~ spl0_5
    | spl0_150 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s193,plain,
    ( ~ spl0_24
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s194,plain,
    ( ~ spl0_24
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s195,plain,
    ( ~ spl0_24
    | spl0_153 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s197,plain,
    ( ~ spl0_14
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s198,plain,
    ( ~ spl0_14
    | spl0_155 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s199,plain,
    ( ~ spl0_14
    | spl0_156 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s203,plain,
    ( ~ spl0_26
    | ~ spl0_28
    | spl0_35 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s210,plain,
    ( ~ spl0_26
    | ~ spl0_32
    | spl0_35 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s213,plain,
    ( ~ spl0_27
    | ~ spl0_67
    | ~ spl0_69
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s218,plain,
    ( ~ spl0_42
    | spl0_89
    | ~ spl0_90
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1067]) ).

cnf(s219,plain,
    ( ~ spl0_42
    | spl0_121
    | ~ spl0_122
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f1070]) ).

cnf(s220,plain,
    ( ~ spl0_43
    | spl0_88
    | spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s226,plain,
    ( ~ spl0_45
    | spl0_92
    | ~ spl0_93
    | spl0_162 ),
    inference(sat_conversion,[],[f1122]) ).

cnf(s247,plain,
    ( ~ spl0_47
    | spl0_106
    | spl0_107
    | spl0_108 ),
    inference(sat_conversion,[],[f1210]) ).

cnf(s253,plain,
    ( ~ spl0_43
    | ~ spl0_48
    | spl0_60 ),
    inference(sat_conversion,[],[f1232]) ).

cnf(s255,plain,
    ( ~ spl0_26
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1234]) ).

cnf(s269,plain,
    ( ~ spl0_22
    | spl0_50
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f1311]) ).

cnf(s270,plain,
    ( ~ spl0_48
    | spl0_50
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f1312]) ).

cnf(s271,plain,
    ( ~ spl0_51
    | ~ spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f1313]) ).

cnf(s277,plain,
    ( ~ spl0_45
    | spl0_100
    | spl0_101
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f1315]) ).

cnf(s283,plain,
    ( ~ spl0_32
    | spl0_91
    | ~ spl0_93
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1359]) ).

cnf(s287,plain,
    ( ~ spl0_32
    | spl0_33
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f1362]) ).

cnf(s301,plain,
    ( ~ spl0_27
    | ~ spl0_110
    | ~ spl0_111
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1392]) ).

cnf(s311,plain,
    ( ~ spl0_33
    | spl0_109
    | ~ spl0_111
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1439]) ).

cnf(s313,plain,
    ( ~ spl0_35
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f1449]) ).

cnf(s324,plain,
    ( ~ spl0_40
    | ~ spl0_110
    | ~ spl0_111
    | spl0_174 ),
    inference(sat_conversion,[],[f1503]) ).

cnf(s339,plain,
    ( ~ spl0_42
    | ~ spl0_92
    | ~ spl0_93
    | spl0_162 ),
    inference(sat_conversion,[],[f1538]) ).

cnf(s340,plain,
    ( ~ spl0_42
    | spl0_103
    | ~ spl0_105
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1539]) ).

cnf(s342,plain,
    ( ~ spl0_45
    | spl0_107
    | spl0_108
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1557]) ).

cnf(s343,plain,
    ( ~ spl0_45
    | spl0_109
    | ~ spl0_111
    | spl0_174 ),
    inference(sat_conversion,[],[f1558]) ).

cnf(s348,plain,
    ( ~ spl0_47
    | spl0_145
    | spl0_146
    | spl0_164 ),
    inference(sat_conversion,[],[f1573]) ).

cnf(s355,plain,
    ( ~ spl0_52
    | spl0_109
    | ~ spl0_110
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f1615]) ).

cnf(s362,plain,
    ( ~ spl0_55
    | spl0_125
    | ~ spl0_126
    | spl0_169 ),
    inference(sat_conversion,[],[f1641]) ).

cnf(s367,plain,
    ( ~ spl0_44
    | spl0_115
    | spl0_116
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f1646]) ).

cnf(s387,plain,
    ( ~ spl0_50
    | spl0_154
    | ~ spl0_155
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1678]) ).

cnf(s397,plain,
    ( ~ spl0_49
    | spl0_106
    | spl0_107
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1690]) ).

cnf(s403,plain,
    ( ~ spl0_37
    | spl0_118
    | spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1736]) ).

cnf(s404,plain,
    ( ~ spl0_37
    | spl0_148
    | ~ spl0_150
    | spl0_170 ),
    inference(sat_conversion,[],[f1738]) ).

cnf(s407,plain,
    ( ~ spl0_44
    | spl0_106
    | spl0_108
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1755]) ).

cnf(s418,plain,
    ( ~ spl0_56
    | spl0_76
    | spl0_77
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f1797]) ).

cnf(s425,plain,
    ( ~ spl0_57
    | spl0_145
    | spl0_147
    | spl0_164 ),
    inference(sat_conversion,[],[f1817]) ).

cnf(s429,plain,
    ( ~ spl0_58
    | spl0_113
    | ~ spl0_114
    | spl0_176 ),
    inference(sat_conversion,[],[f1839]) ).

cnf(s454,plain,
    ( ~ spl0_51
    | ~ spl0_83
    | ~ spl0_84
    | spl0_157 ),
    inference(sat_conversion,[],[f1891]) ).

cnf(s458,plain,
    ( ~ spl0_60
    | spl0_89
    | ~ spl0_90
    | spl0_159 ),
    inference(sat_conversion,[],[f1911]) ).

cnf(s460,plain,
    ( ~ spl0_60
    | spl0_103
    | ~ spl0_105
    | spl0_173 ),
    inference(sat_conversion,[],[f1913]) ).

cnf(s477,plain,
    ( ~ spl0_40
    | spl0_103
    | ~ spl0_104
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1936]) ).

cnf(s478,plain,
    ( ~ spl0_26
    | ~ spl0_104
    | ~ spl0_105
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1937]) ).

cnf(s498,plain,
    ( ~ spl0_22
    | ~ spl0_83
    | ~ spl0_84
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1994]) ).

cnf(s511,plain,
    ( ~ spl0_40
    | spl0_113
    | ~ spl0_114
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2013]) ).

cnf(s512,plain,
    ( ~ spl0_22
    | ~ spl0_67
    | ~ spl0_68
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f2025]) ).

cnf(s519,plain,
    ( ~ spl0_50
    | ~ spl0_68
    | ~ spl0_69
    | spl0_161 ),
    inference(sat_conversion,[],[f2067]) ).

cnf(s524,plain,
    ( ~ spl0_50
    | spl0_152
    | ~ spl0_153
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2073]) ).

cnf(s527,plain,
    ( ~ spl0_61
    | spl0_106
    | spl0_108
    | spl0_172 ),
    inference(sat_conversion,[],[f2106]) ).

cnf(s531,plain,
    ( ~ spl0_61
    | spl0_145
    | spl0_146
    | spl0_147 ),
    inference(sat_conversion,[],[f2110]) ).

cnf(s543,plain,
    ( ~ spl0_39
    | spl0_103
    | ~ spl0_104
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f2148]) ).

cnf(s546,plain,
    ( ~ spl0_39
    | spl0_124
    | ~ spl0_126
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2151]) ).

cnf(s547,plain,
    ( ~ spl0_48
    | spl0_125
    | ~ spl0_126
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2152]) ).

cnf(s548,plain,
    ( ~ spl0_48
    | spl0_82
    | ~ spl0_83
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2153]) ).

cnf(s550,plain,
    ( ~ spl0_48
    | ~ spl0_67
    | ~ spl0_68
    | spl0_161 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s552,plain,
    ( ~ spl0_48
    | ~ spl0_104
    | ~ spl0_105
    | spl0_173 ),
    inference(sat_conversion,[],[f2157]) ).

cnf(s556,plain,
    ( ~ spl0_53
    | spl0_151
    | spl0_152
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2161]) ).

cnf(s557,plain,
    ( ~ spl0_53
    | spl0_148
    | spl0_149
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2162]) ).

cnf(s558,plain,
    ( ~ spl0_53
    | spl0_145
    | spl0_147
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2163]) ).

cnf(s561,plain,
    ( ~ spl0_54
    | spl0_151
    | spl0_152
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2166]) ).

cnf(s562,plain,
    ( ~ spl0_54
    | spl0_148
    | spl0_149
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f2167]) ).

cnf(s568,plain,
    ( ~ spl0_62
    | spl0_82
    | ~ spl0_83
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f2173]) ).

cnf(s576,plain,
    ( ~ spl0_43
    | spl0_145
    | spl0_146
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f2181]) ).

cnf(s580,plain,
    ( ~ spl0_43
    | spl0_151
    | ~ spl0_153
    | spl0_168 ),
    inference(sat_conversion,[],[f2185]) ).

cnf(s585,plain,
    ( ~ spl0_58
    | spl0_124
    | spl0_125
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f2190]) ).

cnf(s586,plain,
    ( ~ spl0_58
    | spl0_103
    | ~ spl0_104
    | spl0_173 ),
    inference(sat_conversion,[],[f2191]) ).

cnf(s588,plain,
    ( ~ spl0_60
    | spl0_152
    | ~ spl0_153
    | spl0_168 ),
    inference(sat_conversion,[],[f2193]) ).

cnf(s589,plain,
    ( ~ spl0_60
    | spl0_133
    | ~ spl0_135
    | spl0_167 ),
    inference(sat_conversion,[],[f2194]) ).

cnf(s593,plain,
    ( ~ spl0_63
    | spl0_112
    | spl0_113
    | spl0_176 ),
    inference(sat_conversion,[],[f2198]) ).

cnf(s594,plain,
    ( ~ spl0_63
    | spl0_107
    | spl0_108
    | spl0_172 ),
    inference(sat_conversion,[],[f2199]) ).

cnf(s600,plain,
    ( ~ spl0_39
    | ~ spl0_134
    | ~ spl0_135
    | spl0_167 ),
    inference(sat_conversion,[],[f2205]) ).

cnf(s601,plain,
    ( ~ spl0_62
    | spl0_133
    | ~ spl0_134
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2206]) ).

cnf(s608,plain,
    ( ~ spl0_62
    | ~ spl0_67
    | ~ spl0_69
    | spl0_161 ),
    inference(sat_conversion,[],[f2213]) ).

cnf(s609,plain,
    ( ~ spl0_37
    | spl0_56
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f2214]) ).

cnf(s610,plain,
    ( ~ spl0_36
    | ~ spl0_45 ),
    inference(rat,[],[s277,s125,s126,s127]) ).

cnf(s611,plain,
    ( ~ spl0_93
    | spl0_91
    | ~ spl0_32
    | spl0_39
    | ~ spl0_45
    | ~ spl0_21 ),
    inference(rat,[],[s28,s114,s339,s226,s283]) ).

cnf(s613,plain,
    ( ~ spl0_10
    | ~ spl0_32
    | spl0_39
    | ~ spl0_45
    | ~ spl0_21 ),
    inference(rat,[],[s611,s113,s115]) ).

cnf(s614,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s68,s387,s197,s198,s199,s61,s460,s586,s340,s28,s613,s287,s21,s610,s301,s311,s543,s343,s33,s129,s130,s131,s137,s138,s139,s140,s1,s7]) ).

cnf(s615,plain,
    ( ~ spl0_105
    | ~ spl0_104
    | spl0_103
    | ~ spl0_42
    | spl0_51
    | spl0_27
    | ~ spl0_21 ),
    inference(rat,[],[s387,s197,s198,s199,s68,s61,s460,s586,s340]) ).

cnf(s616,plain,
    ( spl0_58
    | ~ spl0_62
    | spl0_53
    | spl0_51
    | spl0_27
    | ~ spl0_21 ),
    inference(rat,[],[s68,s589,s601,s387,s169,s170,s171,s197,s198,s199,s63,s61]) ).

cnf(s617,plain,
    ( ~ spl0_13
    | ~ spl0_58 ),
    inference(rat,[],[s585,s157,s158,s159]) ).

cnf(s618,plain,
    ( spl0_39
    | spl0_10
    | spl0_51
    | spl0_27
    | spl0_33
    | ~ spl0_2 ),
    inference(rat,[],[s129,s615,s130,s131,s19,s617,s616,s73,s556,s193,s194,s195,s28,s71,s188,s531,s185,s186,s187]) ).

cnf(s619,plain,
    ( spl0_42
    | spl0_52
    | ~ spl0_2 ),
    inference(rat,[],[s558,s348,s47,s72,s188,s531,s185,s186,s187]) ).

cnf(s620,plain,
    ( spl0_103
    | ~ spl0_105
    | ~ spl0_39
    | ~ spl0_42
    | spl0_51
    | spl0_27
    | spl0_33
    | ~ spl0_21 ),
    inference(rat,[],[s387,s197,s198,s199,s61,s617,s68,s19,s460,s130,s340,s543]) ).

cnf(s621,plain,
    ( ~ spl0_25
    | ~ spl0_42 ),
    inference(rat,[],[s219,s153,s154,s155]) ).

cnf(s622,plain,
    ( ~ spl0_13
    | ~ spl0_39
    | ~ spl0_55 ),
    inference(rat,[],[s546,s362,s157,s158,s159]) ).

cnf(s623,plain,
    ( ~ spl0_39
    | ~ spl0_42
    | spl0_51
    | spl0_27
    | spl0_33
    | ~ spl0_21 ),
    inference(rat,[],[s620,s129,s131,s19,s622,s53,s621]) ).

cnf(s624,plain,
    ( ~ spl0_15
    | spl0_1 ),
    inference(rat,[],[s618,s613,s623,s619,s287,s21,s301,s311,s343,s355,s137,s138,s139,s610,s33,s188,s614]) ).

cnf(s626,plain,
    ( spl0_44
    | spl0_1 ),
    inference(rat,[],[s387,s197,s198,s199,s46,s30,s610,s33,s188,s614,s624]) ).

cnf(s627,plain,
    ( ~ spl0_12
    | ~ spl0_44 ),
    inference(rat,[],[s367,s145,s146,s147]) ).

cnf(s630,plain,
    ( ~ spl0_5
    | ~ spl0_54 ),
    inference(rat,[],[s562,s189,s190,s191]) ).

cnf(s631,plain,
    ( ~ spl0_14
    | ~ spl0_50 ),
    inference(rat,[],[s387,s197,s198,s199]) ).

cnf(s635,plain,
    ( ~ spl0_6
    | ~ spl0_62 ),
    inference(rat,[],[s568,s101,s102,s103]) ).

cnf(s637,plain,
    ( spl0_53
    | spl0_58
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(rat,[],[s601,s600,s169,s170,s171,s63,s73,s188,s531,s185,s186,s187]) ).

cnf(s638,plain,
    ( ~ spl0_7
    | ~ spl0_56 ),
    inference(rat,[],[s418,s93,s94,s95]) ).

cnf(s639,plain,
    ( ~ spl0_3
    | ~ spl0_39 ),
    inference(rat,[],[s543,s129,s130,s131]) ).

cnf(s640,plain,
    ( ~ spl0_51
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s38,s548,s498,s454,s101,s102,s103,s3,s638,s271,s630,s49,s624,s188,s614]) ).

cnf(s641,plain,
    ( spl0_14
    | spl0_51
    | spl0_1 ),
    inference(rat,[],[s617,s61,s6,s188,s614,s627,s626]) ).

cnf(s642,plain,
    ( spl0_50
    | spl0_1 ),
    inference(rat,[],[s38,s269,s270,s630,s49,s624,s188,s614]) ).

cnf(s643,plain,
    spl0_1,
    inference(rat,[],[s593,s511,s141,s142,s143,s5,s635,s73,s556,s193,s194,s195,s74,s71,s639,s640,s641,s631,s642,s25,s627,s626,s531,s185,s186,s187,s188,s614]) ).

cnf(s644,plain,
    spl0_21,
    inference(rat,[],[s136,s643]) ).

cnf(s645,plain,
    ~ spl0_108,
    inference(rat,[],[s135,s643]) ).

cnf(s646,plain,
    ~ spl0_107,
    inference(rat,[],[s134,s643]) ).

cnf(s647,plain,
    ~ spl0_106,
    inference(rat,[],[s133,s643]) ).

cnf(s648,plain,
    ~ spl0_47,
    inference(rat,[],[s247,s645,s646,s647]) ).

cnf(s649,plain,
    ( spl0_40
    | spl0_35
    | ~ spl0_2
    | spl0_27 ),
    inference(rat,[],[s29,s576,s210,s425,s36,s58,s621,s72,s531,s185,s186,s187,s644,s648]) ).

cnf(s650,plain,
    ( ~ spl0_168
    | spl0_37
    | ~ spl0_40
    | ~ spl0_24 ),
    inference(rat,[],[s429,s511,s142,s143,s50,s62,s561,s524,s195,s194,s193,s644,s648]) ).

cnf(s651,plain,
    ( spl0_14
    | spl0_39
    | ~ spl0_2
    | spl0_27 ),
    inference(rat,[],[s429,s511,s142,s143,s50,s64,s630,s35,s580,s650,s403,s149,s150,s151,s20,s311,s324,s649,s313,s85,s86,s87,s137,s138,s139,s37,s30,s407,s342,s594,s74,s195,s193,s71,s531,s185,s186,s187,s644,s648,s645,s647,s646]) ).

cnf(s652,plain,
    ( spl0_39
    | ~ spl0_2
    | spl0_27 ),
    inference(rat,[],[s586,s340,s129,s130,s131,s3,s638,s609,s650,s51,s561,s588,s62,s68,s631,s651,s635,s73,s556,s193,s194,s195,s71,s72,s531,s185,s186,s187,s644,s648]) ).

cnf(s653,plain,
    ( ~ spl0_54
    | ~ spl0_51
    | spl0_3 ),
    inference(rat,[],[s38,s548,s498,s454,s101,s102,s103,s3,s638,s271,s630,s644]) ).

cnf(s654,plain,
    ( spl0_58
    | spl0_14
    | ~ spl0_39
    | ~ spl0_2 ),
    inference(rat,[],[s557,s404,s189,s190,s191,s70,s255,s519,s81,s82,s83,s48,s64,s653,s637,s62,s61,s531,s185,s186,s187,s639,s644,s648]) ).

cnf(s655,plain,
    ( spl0_14
    | ~ spl0_2
    | spl0_27 ),
    inference(rat,[],[s649,s324,s313,s311,s85,s86,s87,s137,s138,s139,s37,s30,s627,s19,s6,s617,s654,s639,s652,s644,s648]) ).

cnf(s656,plain,
    ( ~ spl0_54
    | spl0_50 ),
    inference(rat,[],[s38,s269,s270,s630,s644]) ).

cnf(s657,plain,
    ( spl0_5
    | spl0_22
    | ~ spl0_67
    | ~ spl0_68
    | spl0_61 ),
    inference(rat,[],[s550,s255,s38,s70,s644]) ).

cnf(s658,plain,
    ( ~ spl0_11
    | spl0_50 ),
    inference(rat,[],[s429,s511,s142,s143,s62,s51,s656,s644,s648]) ).

cnf(s659,plain,
    ( ~ spl0_2
    | spl0_27 ),
    inference(rat,[],[s638,s3,s609,s635,s73,s557,s404,s50,s658,s189,s190,s191,s657,s512,s81,s82,s83,s48,s656,s631,s655,s639,s652,s531,s185,s186,s187,s644]) ).

cnf(s660,plain,
    ( ~ spl0_3
    | ~ spl0_48 ),
    inference(rat,[],[s36,s477,s478,s552,s129,s130,s131,s644,s648]) ).

cnf(s661,plain,
    ( ~ spl0_54
    | spl0_39
    | spl0_14 ),
    inference(rat,[],[s218,s458,s110,s111,s15,s203,s36,s324,s311,s19,s27,s617,s61,s653,s253,s35,s630,s342,s139,s138,s137,s30,s313,s85,s86,s87,s37,s407,s660,s40,s397,s594,s74,s644,s648,s647,s646,s645]) ).

cnf(s662,plain,
    ( spl0_39
    | spl0_14 ),
    inference(rat,[],[s362,s547,s158,s159,s19,s311,s324,s36,s255,s52,s550,s512,s81,s82,s83,s48,s661,s660,s355,s137,s138,s139,s30,s40,s407,s397,s594,s74,s646,s647,s645,s648,s644]) ).

cnf(s663,plain,
    ( ~ spl0_54
    | spl0_14 ),
    inference(rat,[],[s220,s109,s110,s111,s15,s203,s36,s35,s324,s343,s313,s311,s85,s86,s87,s137,s138,s139,s37,s30,s627,s19,s6,s617,s61,s653,s630,s639,s662,s644,s648]) ).

cnf(s664,plain,
    ( ~ spl0_15
    | ~ spl0_40
    | spl0_14 ),
    inference(rat,[],[s19,s622,s311,s52,s324,s355,s137,s138,s139,s512,s81,s82,s83,s48,s663,s639,s662,s644]) ).

cnf(s665,plain,
    ( spl0_58
    | spl0_14 ),
    inference(rat,[],[s638,s3,s609,s635,s73,s557,s404,s189,s190,s191,s70,s527,s407,s30,s664,s36,s255,s519,s64,s62,s83,s82,s81,s48,s663,s639,s662,s644,s645,s647,s648]) ).

cnf(s666,plain,
    spl0_14,
    inference(rat,[],[s519,s255,s51,s36,s664,s30,s627,s6,s617,s665,s81,s82,s83,s48,s663,s639,s662,s644,s648]) ).

cnf(s670,plain,
    ~ spl0_50,
    inference(rat,[],[s631,s666]) ).

cnf(s671,plain,
    spl0_58,
    inference(rat,[],[s62,s648,s644,s670]) ).

cnf(s672,plain,
    ~ spl0_54,
    inference(rat,[],[s656,s670]) ).

cnf(s673,plain,
    ~ spl0_11,
    inference(rat,[],[s658,s670]) ).

cnf(s674,plain,
    spl0_40,
    inference(rat,[],[s51,s672,s644,s670]) ).

cnf(s675,plain,
    ~ spl0_13,
    inference(rat,[],[s617,s671]) ).

cnf(s676,plain,
    spl0_37,
    inference(rat,[],[s50,s672,s644,s673]) ).

cnf(s677,plain,
    ( ~ spl0_104
    | spl0_103 ),
    inference(rat,[],[s477,s586,s671,s674]) ).

cnf(s678,plain,
    ~ spl0_3,
    inference(rat,[],[s677,s129,s130]) ).

cnf(s679,plain,
    spl0_31,
    inference(rat,[],[s48,s644,s672,s678]) ).

cnf(s680,plain,
    spl0_33,
    inference(rat,[],[s19,s675,s644,s678]) ).

cnf(s681,plain,
    spl0_69,
    inference(rat,[],[s83,s679]) ).

cnf(s682,plain,
    spl0_68,
    inference(rat,[],[s82,s679]) ).

cnf(s683,plain,
    spl0_67,
    inference(rat,[],[s81,s679]) ).

cnf(s684,plain,
    ~ spl0_22,
    inference(rat,[],[s512,s681,s682,s683]) ).

cnf(s686,plain,
    ~ spl0_15,
    inference(rat,[],[s311,s324,s137,s138,s139,s680,s674]) ).

cnf(s687,plain,
    spl0_2,
    inference(rat,[],[s43,s644,s670,s686]) ).

cnf(s688,plain,
    ~ spl0_147,
    inference(rat,[],[s187,s687]) ).

cnf(s689,plain,
    ~ spl0_146,
    inference(rat,[],[s186,s687]) ).

cnf(s690,plain,
    ~ spl0_145,
    inference(rat,[],[s185,s687]) ).

cnf(s691,plain,
    spl0_27,
    inference(rat,[],[s659,s687]) ).

cnf(s693,plain,
    ~ spl0_61,
    inference(rat,[],[s531,s688,s689,s690]) ).

cnf(s694,plain,
    ~ spl0_161,
    inference(rat,[],[s213,s683,s681,s691]) ).

cnf(s696,plain,
    spl0_5,
    inference(rat,[],[s657,s683,s682,s684,s693]) ).

cnf(s698,plain,
    ~ spl0_62,
    inference(rat,[],[s608,s683,s681,s694]) ).

cnf(s700,plain,
    spl0_150,
    inference(rat,[],[s191,s696]) ).

cnf(s701,plain,
    ~ spl0_149,
    inference(rat,[],[s190,s696]) ).

cnf(s702,plain,
    ~ spl0_148,
    inference(rat,[],[s189,s696]) ).

cnf(s703,plain,
    spl0_53,
    inference(rat,[],[s73,s693,s644,s698]) ).

cnf(s705,plain,
    spl0_170,
    inference(rat,[],[s404,s702,s676,s700]) ).

cnf(s707,plain,
    $false,
    inference(rat,[],[s557,s702,s701,s703,s705]) ).

fof(f2215,plain,
    $false,
    inference(avatar_sat_refutation,[],[s707]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN486+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n011.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 16:15:46 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.02/0.72  % (3504596)Detected formulas, will run a generic FOF schedule.
% 2.02/0.72  % (3504607)dis-21_1_sil=8000:lcm=predicate:random_seed=1866353648: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)
% 2.02/0.72  % (3504607)First to succeed.
% 2.02/0.72  % (3504607)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3504596"
% 2.02/0.72  % (3504605)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4174062015:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.02/0.72  % (3504601)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=1265427125:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.02/0.72  % (3504602)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=1921683039:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.02/0.72  % (3504604)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2019127349:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.02/0.72  % (3504603)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=2219187826:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.02/0.72  % (3504606)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2034285897:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.02/0.72  % (3504605)Instruction limit reached! 
% 2.02/0.72  % (3504605)------------------------------
% 2.02/0.72  % (3504605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/0.72  % (3504605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.72  % (3504605)CaDiCaL version: 2.1.3
% 2.02/0.72  % (3504605)Termination reason: Instruction limit
% 2.02/0.72  % (3504605)Termination phase: Saturation
% 2.02/0.72  % (3504605)Time elapsed: 0.059 s
% 2.02/0.72  % (3504605)Peak memory usage: 88 MB
% 2.02/0.72  % (3504605)Instructions burned: 120 (million)
% 2.02/0.72  % (3504604)Instruction limit reached! 
% 2.02/0.72  % (3504604)------------------------------
% 2.02/0.72  % (3504604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/0.72  % (3504604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/0.72  % (3504604)CaDiCaL version: 2.1.3
% 2.02/0.72  % (3504604)Termination reason: Instruction limit
% 2.02/0.72  % (3504604)Termination phase: Saturation
% 2.02/0.72  % (3504604)Time elapsed: 0.070 s
% 2.02/0.72  % (3504604)Peak memory usage: 90 MB
% 2.02/0.72  % (3504604)Instructions burned: 110 (million)
% 2.02/0.72  % (3504606)Also succeeded, but the first one will report.
% 2.02/0.72  % (3504607)Refutation found. Thanks to Tanya!
% 2.02/0.72  % SZS status Theorem for theBenchmark
% 2.02/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.90  % (3504607)------------------------------
% 0.19/0.90  % (3504607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/0.90  % (3504607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.90  % (3504607)CaDiCaL version: 2.1.3
% 0.19/0.90  % (3504607)Termination reason: Refutation
% 0.19/0.90  % (3504607)Time elapsed: 0.020 s
% 0.19/0.90  % (3504607)Peak memory usage: 90 MB
% 0.19/0.90  % (3504607)Instructions burned: 60 (million)
% 0.19/0.90  % (3504607)------------------------------
% 0.19/0.90  % (3504607)------------------------------
% 0.19/0.90  % (3504596)Success in time 0.291 s
% 0.19/0.90  % Vampire exiting
%------------------------------------------------------------------------------