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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN468+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:10:16 PM UTC 2026

% Result   : Theorem 0.19s 0.27s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :  157
% Syntax   : Number of formulae    : 1119 (   7 unt; 156 def)
%            Number of atoms       : 6981 (   0 equ)
%            Maximal formula atoms :  637 (   6 avg)
%            Number of connectives : 8956 (3094   ~;4455   |; 975   &)
%                                         ( 156 <=>; 276  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  194 ( 193 usr; 190 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  713 (   0 sgn 713   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a291)
          & ~ c2_1(a291)
          & ~ c3_1(a291) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a292)
          & c3_1(a292)
          & ~ c1_1(a292) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a293)
          & ~ c1_1(a293)
          & ~ c2_1(a293) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a294)
          & c2_1(a294)
          & ~ c1_1(a294) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a295)
          & ~ c2_1(a295)
          & ~ c3_1(a295) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a297)
          & c2_1(a297)
          & ~ c0_1(a297) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a298)
          & ~ c0_1(a298)
          & ~ c1_1(a298) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a299)
          & c3_1(a299)
          & ~ c2_1(a299) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a300)
          & c3_1(a300)
          & ~ c1_1(a300) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a304)
          & c1_1(a304)
          & ~ c2_1(a304) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a305)
          & c2_1(a305)
          & ~ c3_1(a305) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a306)
          & c3_1(a306)
          & ~ c0_1(a306) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c2_1(a307)
          & ~ c1_1(a307)
          & ~ c3_1(a307) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a308)
          & ~ c1_1(a308)
          & ~ c2_1(a308) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a309)
          & c2_1(a309)
          & ~ c3_1(a309) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a311)
          & c1_1(a311)
          & ~ c3_1(a311) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a315)
          & ~ c0_1(a315)
          & ~ c3_1(a315) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a323)
          & ~ c2_1(a323)
          & ~ c3_1(a323) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a325)
          & ~ c1_1(a325)
          & ~ c3_1(a325) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a326)
          & c3_1(a326)
          & ~ c0_1(a326) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c0_1(a329)
          & ~ c1_1(a329)
          & ~ c2_1(a329) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a330)
          & ~ c0_1(a330)
          & ~ c2_1(a330) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c1_1(a331)
          & ~ c2_1(a331)
          & ~ c3_1(a331) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a337)
          & c3_1(a337)
          & ~ c2_1(a337) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a341)
          & ~ c0_1(a341)
          & ~ c3_1(a341) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c3_1(a353)
          & ~ c0_1(a353)
          & ~ c1_1(a353) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c0_1(a359)
          & ~ c1_1(a359)
          & ~ c3_1(a359) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a368)
          & ~ c0_1(a368)
          & ~ c2_1(a368) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a296)
          & c2_1(a296)
          & c3_1(a296) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a301)
          & c2_1(a301)
          & c3_1(a301) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a332)
          & c1_1(a332)
          & c3_1(a332) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a367)
          & c1_1(a367)
          & c2_1(a367) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c3_1(X1)
              | ~ c0_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | hskp1
        | hskp2 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c3_1(X3) ) )
        | hskp3 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | hskp4
        | hskp28 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | ~ c2_1(X5) ) )
        | hskp5
        | hskp6 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | ~ c3_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c3_1(X7)
              | ~ c1_1(X7) ) )
        | hskp7 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c2_1(X8)
              | c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | ~ c2_1(X9)
              | ~ c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c3_1(X10)
              | ~ c1_1(X10) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c2_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | ~ c1_1(X12)
              | ~ c3_1(X12) ) )
        | hskp8 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c2_1(X13)
              | ~ c1_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) )
        | hskp29 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c2_1(X15)
              | ~ c1_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | ~ c2_1(X16)
              | ~ c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | ~ c2_1(X17)
              | ~ c3_1(X17) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | ~ c1_1(X18) ) )
        | hskp4
        | hskp6 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | c3_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | ~ c2_1(X21)
              | ~ c3_1(X21) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c2_1(X22)
              | ~ c3_1(X22) ) )
        | hskp9
        | hskp10 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c3_1(X23)
              | ~ c1_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c3_1(X24)
              | ~ c2_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | ~ c2_1(X25)
              | ~ c3_1(X25) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c3_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c1_1(X27)
              | ~ c0_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | ~ c2_1(X28)
              | ~ c3_1(X28) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c3_1(X29)
              | ~ c1_1(X29) ) )
        | hskp11
        | hskp12 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | ~ c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | c3_1(X31)
              | ~ c0_1(X31) ) )
        | hskp13 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c3_1(X32)
              | ~ c2_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | c3_1(X33)
              | ~ c0_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c2_1(X34)
              | ~ c0_1(X34)
              | ~ c3_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c3_1(X35)
              | ~ c2_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | ~ c0_1(X36)
              | ~ c2_1(X36) ) )
        | hskp14 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c3_1(X37)
              | ~ c2_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | ~ c2_1(X38)
              | ~ c3_1(X38) ) )
        | hskp5 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c3_1(X39)
              | ~ c2_1(X39) ) )
        | hskp15
        | hskp8 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | ~ c1_1(X40)
              | ~ c2_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | ~ c1_1(X41)
              | ~ c3_1(X41) ) )
        | hskp7 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c1_1(X42)
              | ~ c2_1(X42) ) )
        | hskp13
        | hskp16 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | ~ c1_1(X43)
              | ~ c2_1(X43) ) )
        | hskp4
        | hskp11 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | ~ c1_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c2_1(X45)
              | c3_1(X45) ) )
        | hskp4 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | ~ c1_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | ~ c0_1(X47)
              | ~ c1_1(X47) ) )
        | hskp15 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c1_1(X48)
              | ~ c3_1(X48) ) )
        | hskp3
        | hskp2 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c3_1(X49) ) )
        | hskp11
        | hskp17 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c2_1(X50)
              | c3_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c3_1(X51)
              | ~ c0_1(X51) ) )
        | hskp3 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c2_1(X52)
              | c3_1(X52) ) )
        | hskp18
        | hskp19 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c2_1(X53)
              | ~ c0_1(X53) ) )
        | hskp0
        | hskp17 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c2_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | c3_1(X55)
              | ~ c0_1(X55) ) )
        | hskp20 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | c2_1(X56)
              | ~ c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | ~ c0_1(X57)
              | ~ c2_1(X57) ) )
        | hskp21 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | ~ c0_1(X59)
              | ~ c2_1(X59) ) )
        | hskp22 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c2_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp30
        | hskp2 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c3_1(X64)
              | ~ c0_1(X64) ) )
        | hskp15
        | hskp28 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c3_1(X65)
              | ~ c2_1(X65) ) )
        | hskp8
        | hskp23 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c0_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | ~ c0_1(X67)
              | ~ c3_1(X67) ) )
        | hskp16 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | ~ c0_1(X68)
              | ~ c2_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | ~ c0_1(X69)
              | ~ c1_1(X69) ) )
        | hskp7 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c0_1(X70)
              | ~ c2_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | ~ c1_1(X71)
              | ~ c2_1(X71) ) )
        | hskp9 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c0_1(X72)
              | ~ c2_1(X72) ) )
        | hskp24
        | hskp16 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c0_1(X73)
              | ~ c2_1(X73) ) )
        | hskp16
        | hskp21 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c0_1(X74)
              | ~ c3_1(X74) ) )
        | hskp9
        | hskp12 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | ~ c0_1(X75)
              | ~ c3_1(X75) ) )
        | hskp15
        | hskp29 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | ~ c2_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | ~ c0_1(X77)
              | ~ c1_1(X77) ) )
        | hskp1 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | ~ c0_1(X78)
              | ~ c1_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | hskp4 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | ~ c2_1(X81)
              | ~ c3_1(X81) ) )
        | hskp21 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | hskp7
        | hskp25 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c3_1(X83)
              | ~ c0_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp13 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | hskp25
        | hskp21 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c0_1(X86)
              | ~ c2_1(X86) ) )
        | hskp20 )
      & ( ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | ~ c1_1(X87)
              | ~ c2_1(X87) ) )
        | hskp3
        | hskp26 )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | ~ c1_1(X88)
              | ~ c2_1(X88) ) )
        | hskp23 )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | ~ c1_1(X89)
              | ~ c3_1(X89) ) )
        | hskp8
        | hskp28 )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c1_1(X90)
              | ~ c3_1(X90) ) )
        | hskp18
        | hskp28 )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) )
        | hskp11
        | hskp25 )
      & ( hskp31
        | hskp27
        | hskp24 )
      & ( hskp9
        | hskp16
        | hskp22 )
      & ( hskp3
        | hskp23
        | hskp0 )
      & ( hskp8
        | hskp13
        | hskp18 )
      & ( hskp7
        | hskp19
        | hskp12 )
      & ( hskp7
        | hskp1
        | hskp16 )
      & ( hskp13
        | hskp2
        | hskp20 )
      & ( hskp5
        | hskp16
        | hskp22 )
      & ( hskp23
        | hskp12
        | hskp2 )
      & ( hskp24
        | hskp19
        | hskp20 )
      & ( hskp21
        | hskp26
        | hskp17 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a291)
            & ~ c2_1(a291)
            & ~ c3_1(a291) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a292)
            & c3_1(a292)
            & ~ c1_1(a292) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a293)
            & ~ c1_1(a293)
            & ~ c2_1(a293) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a294)
            & c2_1(a294)
            & ~ c1_1(a294) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a295)
            & ~ c2_1(a295)
            & ~ c3_1(a295) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a297)
            & c2_1(a297)
            & ~ c0_1(a297) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a298)
            & ~ c0_1(a298)
            & ~ c1_1(a298) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a299)
            & c3_1(a299)
            & ~ c2_1(a299) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a300)
            & c3_1(a300)
            & ~ c1_1(a300) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a304)
            & c1_1(a304)
            & ~ c2_1(a304) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a305)
            & c2_1(a305)
            & ~ c3_1(a305) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a306)
            & c3_1(a306)
            & ~ c0_1(a306) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a307)
            & ~ c1_1(a307)
            & ~ c3_1(a307) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a308)
            & ~ c1_1(a308)
            & ~ c2_1(a308) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a309)
            & c2_1(a309)
            & ~ c3_1(a309) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a311)
            & c1_1(a311)
            & ~ c3_1(a311) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a315)
            & ~ c0_1(a315)
            & ~ c3_1(a315) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a323)
            & ~ c2_1(a323)
            & ~ c3_1(a323) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a325)
            & ~ c1_1(a325)
            & ~ c3_1(a325) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a326)
            & c3_1(a326)
            & ~ c0_1(a326) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c0_1(a329)
            & ~ c1_1(a329)
            & ~ c2_1(a329) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a330)
            & ~ c0_1(a330)
            & ~ c2_1(a330) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c1_1(a331)
            & ~ c2_1(a331)
            & ~ c3_1(a331) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a337)
            & c3_1(a337)
            & ~ c2_1(a337) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a341)
            & ~ c0_1(a341)
            & ~ c3_1(a341) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c3_1(a353)
            & ~ c0_1(a353)
            & ~ c1_1(a353) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c0_1(a359)
            & ~ c1_1(a359)
            & ~ c3_1(a359) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a368)
            & ~ c0_1(a368)
            & ~ c2_1(a368) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a296)
            & c2_1(a296)
            & c3_1(a296) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a301)
            & c2_1(a301)
            & c3_1(a301) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a332)
            & c1_1(a332)
            & c3_1(a332) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a367)
            & c1_1(a367)
            & c2_1(a367) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | ~ c0_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | hskp1
          | hskp2 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c3_1(X3) ) )
          | hskp3 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | hskp4
          | hskp28 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | ~ c2_1(X5) ) )
          | hskp5
          | hskp6 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | ~ c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c3_1(X7)
                | ~ c1_1(X7) ) )
          | hskp7 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c2_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | ~ c2_1(X9)
                | ~ c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c3_1(X10)
                | ~ c1_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c2_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) )
          | hskp8 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c2_1(X13)
                | ~ c1_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) )
          | hskp29 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c2_1(X15)
                | ~ c1_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | ~ c2_1(X16)
                | ~ c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | ~ c2_1(X17)
                | ~ c3_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | ~ c1_1(X18) ) )
          | hskp4
          | hskp6 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c3_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c2_1(X21)
                | ~ c3_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | ~ c3_1(X22) ) )
          | hskp9
          | hskp10 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c3_1(X23)
                | ~ c1_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c3_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c2_1(X25)
                | ~ c3_1(X25) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c3_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | ~ c0_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | ~ c2_1(X28)
                | ~ c3_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c3_1(X29)
                | ~ c1_1(X29) ) )
          | hskp11
          | hskp12 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | c3_1(X31)
                | ~ c0_1(X31) ) )
          | hskp13 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c3_1(X32)
                | ~ c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | c3_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c0_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c3_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | ~ c0_1(X36)
                | ~ c2_1(X36) ) )
          | hskp14 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c3_1(X37)
                | ~ c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | ~ c2_1(X38)
                | ~ c3_1(X38) ) )
          | hskp5 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c3_1(X39)
                | ~ c2_1(X39) ) )
          | hskp15
          | hskp8 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | ~ c1_1(X40)
                | ~ c2_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c1_1(X41)
                | ~ c3_1(X41) ) )
          | hskp7 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c1_1(X42)
                | ~ c2_1(X42) ) )
          | hskp13
          | hskp16 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | ~ c1_1(X43)
                | ~ c2_1(X43) ) )
          | hskp4
          | hskp11 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | ~ c1_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c2_1(X45)
                | c3_1(X45) ) )
          | hskp4 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c1_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c0_1(X47)
                | ~ c1_1(X47) ) )
          | hskp15 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c1_1(X48)
                | ~ c3_1(X48) ) )
          | hskp3
          | hskp2 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c3_1(X49) ) )
          | hskp11
          | hskp17 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | c3_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | ~ c0_1(X51) ) )
          | hskp3 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c2_1(X52)
                | c3_1(X52) ) )
          | hskp18
          | hskp19 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c2_1(X53)
                | ~ c0_1(X53) ) )
          | hskp0
          | hskp17 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c2_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | c3_1(X55)
                | ~ c0_1(X55) ) )
          | hskp20 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c2_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | ~ c0_1(X57)
                | ~ c2_1(X57) ) )
          | hskp21 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | ~ c0_1(X59)
                | ~ c2_1(X59) ) )
          | hskp22 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c2_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp30
          | hskp2 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c3_1(X64)
                | ~ c0_1(X64) ) )
          | hskp15
          | hskp28 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c3_1(X65)
                | ~ c2_1(X65) ) )
          | hskp8
          | hskp23 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c0_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) )
          | hskp16 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c0_1(X68)
                | ~ c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) )
          | hskp7 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c0_1(X70)
                | ~ c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | ~ c1_1(X71)
                | ~ c2_1(X71) ) )
          | hskp9 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | hskp24
          | hskp16 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c0_1(X73)
                | ~ c2_1(X73) ) )
          | hskp16
          | hskp21 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | ~ c3_1(X74) ) )
          | hskp9
          | hskp12 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | ~ c0_1(X75)
                | ~ c3_1(X75) ) )
          | hskp15
          | hskp29 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c2_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) )
          | hskp1 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | ~ c0_1(X78)
                | ~ c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp4 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | ~ c2_1(X81)
                | ~ c3_1(X81) ) )
          | hskp21 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | hskp7
          | hskp25 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | ~ c0_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp13 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | hskp25
          | hskp21 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) )
          | hskp20 )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c1_1(X87)
                | ~ c2_1(X87) ) )
          | hskp3
          | hskp26 )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | ~ c1_1(X88)
                | ~ c2_1(X88) ) )
          | hskp23 )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | ~ c1_1(X89)
                | ~ c3_1(X89) ) )
          | hskp8
          | hskp28 )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) )
          | hskp18
          | hskp28 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) )
          | hskp11
          | hskp25 )
        & ( hskp31
          | hskp27
          | hskp24 )
        & ( hskp9
          | hskp16
          | hskp22 )
        & ( hskp3
          | hskp23
          | hskp0 )
        & ( hskp8
          | hskp13
          | hskp18 )
        & ( hskp7
          | hskp19
          | hskp12 )
        & ( hskp7
          | hskp1
          | hskp16 )
        & ( hskp13
          | hskp2
          | hskp20 )
        & ( hskp5
          | hskp16
          | hskp22 )
        & ( hskp23
          | hskp12
          | hskp2 )
        & ( hskp24
          | hskp19
          | hskp20 )
        & ( hskp21
          | hskp26
          | hskp17 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a291)
        & ~ c2_1(a291)
        & ~ c3_1(a291) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a292)
        & c3_1(a292)
        & ~ c1_1(a292) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a293)
        & ~ c1_1(a293)
        & ~ c2_1(a293) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a294)
        & c2_1(a294)
        & ~ c1_1(a294) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a295)
        & ~ c2_1(a295)
        & ~ c3_1(a295) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a297)
        & c2_1(a297)
        & ~ c0_1(a297) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a298)
        & ~ c0_1(a298)
        & ~ c1_1(a298) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a299)
        & c3_1(a299)
        & ~ c2_1(a299) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a300)
        & c3_1(a300)
        & ~ c1_1(a300) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a304)
        & c1_1(a304)
        & ~ c2_1(a304) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a305)
        & c2_1(a305)
        & ~ c3_1(a305) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a306)
        & c3_1(a306)
        & ~ c0_1(a306) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a307)
        & ~ c1_1(a307)
        & ~ c3_1(a307) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a308)
        & ~ c1_1(a308)
        & ~ c2_1(a308) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a309)
        & c2_1(a309)
        & ~ c3_1(a309) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a311)
        & c1_1(a311)
        & ~ c3_1(a311) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a315)
        & ~ c0_1(a315)
        & ~ c3_1(a315) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a323)
        & ~ c2_1(a323)
        & ~ c3_1(a323) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a325)
        & ~ c1_1(a325)
        & ~ c3_1(a325) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a326)
        & c3_1(a326)
        & ~ c0_1(a326) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a329)
        & ~ c1_1(a329)
        & ~ c2_1(a329) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a330)
        & ~ c0_1(a330)
        & ~ c2_1(a330) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a331)
        & ~ c2_1(a331)
        & ~ c3_1(a331) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a337)
        & c3_1(a337)
        & ~ c2_1(a337) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a341)
        & ~ c0_1(a341)
        & ~ c3_1(a341) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a353)
        & ~ c0_1(a353)
        & ~ c1_1(a353) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a359)
        & ~ c1_1(a359)
        & ~ c3_1(a359) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a368)
        & ~ c0_1(a368)
        & ~ c2_1(a368) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a296)
        & c2_1(a296)
        & c3_1(a296) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a301)
        & c2_1(a301)
        & c3_1(a301) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a332)
        & c1_1(a332)
        & c3_1(a332) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a367)
        & c1_1(a367)
        & c2_1(a367) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | ~ c0_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c2_1(X2) ) )
      | hskp1
      | hskp2 )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c3_1(X3) ) )
      | hskp3 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c3_1(X4) ) )
      | hskp4
      | hskp28 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | ~ c2_1(X5) ) )
      | hskp5
      | hskp6 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | ~ c3_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c3_1(X7)
            | ~ c1_1(X7) ) )
      | hskp7 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c2_1(X8)
            | c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | ~ c2_1(X9)
            | ~ c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | c3_1(X10)
            | ~ c1_1(X10) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c2_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | ~ c1_1(X12)
            | ~ c3_1(X12) ) )
      | hskp8 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c2_1(X13)
            | ~ c1_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | ~ c1_1(X14)
            | ~ c2_1(X14) ) )
      | hskp29 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c2_1(X15)
            | ~ c1_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | ~ c2_1(X16)
            | ~ c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c1_1(X17)
            | ~ c2_1(X17)
            | ~ c3_1(X17) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c2_1(X18)
            | ~ c1_1(X18) ) )
      | hskp4
      | hskp6 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | ~ c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c3_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c1_1(X21)
            | ~ c2_1(X21)
            | ~ c3_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c2_1(X22)
            | ~ c3_1(X22) ) )
      | hskp9
      | hskp10 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c3_1(X23)
            | ~ c1_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c3_1(X24)
            | ~ c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | ~ c2_1(X25)
            | ~ c3_1(X25) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c3_1(X26)
            | ~ c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c1_1(X27)
            | ~ c0_1(X27)
            | ~ c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | ~ c2_1(X28)
            | ~ c3_1(X28) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c3_1(X29)
            | ~ c1_1(X29) ) )
      | hskp11
      | hskp12 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c3_1(X30)
            | ~ c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | c3_1(X31)
            | ~ c0_1(X31) ) )
      | hskp13 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c3_1(X32)
            | ~ c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | c3_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | ~ c0_1(X34)
            | ~ c3_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c3_1(X35)
            | ~ c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c3_1(X36)
            | ~ c0_1(X36)
            | ~ c2_1(X36) ) )
      | hskp14 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c3_1(X37)
            | ~ c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | ~ c2_1(X38)
            | ~ c3_1(X38) ) )
      | hskp5 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c3_1(X39)
            | ~ c2_1(X39) ) )
      | hskp15
      | hskp8 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | ~ c1_1(X40)
            | ~ c2_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | ~ c1_1(X41)
            | ~ c3_1(X41) ) )
      | hskp7 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | ~ c1_1(X42)
            | ~ c2_1(X42) ) )
      | hskp13
      | hskp16 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | ~ c1_1(X43)
            | ~ c2_1(X43) ) )
      | hskp4
      | hskp11 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | ~ c1_1(X44)
            | ~ c3_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | c2_1(X45)
            | c3_1(X45) ) )
      | hskp4 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | ~ c1_1(X46)
            | ~ c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c2_1(X47)
            | ~ c0_1(X47)
            | ~ c1_1(X47) ) )
      | hskp15 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | ~ c1_1(X48)
            | ~ c3_1(X48) ) )
      | hskp3
      | hskp2 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c3_1(X49) ) )
      | hskp11
      | hskp17 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c2_1(X50)
            | c3_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c3_1(X51)
            | ~ c0_1(X51) ) )
      | hskp3 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c2_1(X52)
            | c3_1(X52) ) )
      | hskp18
      | hskp19 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | c2_1(X53)
            | ~ c0_1(X53) ) )
      | hskp0
      | hskp17 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c2_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | c3_1(X55)
            | ~ c0_1(X55) ) )
      | hskp20 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | c2_1(X56)
            | ~ c3_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | ~ c0_1(X57)
            | ~ c2_1(X57) ) )
      | hskp21 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c2_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | ~ c0_1(X59)
            | ~ c2_1(X59) ) )
      | hskp22 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c2_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | ~ c1_1(X61)
            | ~ c2_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp30
      | hskp2 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c3_1(X64)
            | ~ c0_1(X64) ) )
      | hskp15
      | hskp28 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c3_1(X65)
            | ~ c2_1(X65) ) )
      | hskp8
      | hskp23 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | ~ c0_1(X66)
            | ~ c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c0_1(X67)
            | ~ c3_1(X67) ) )
      | hskp16 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | ~ c0_1(X68)
            | ~ c2_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | ~ c0_1(X69)
            | ~ c1_1(X69) ) )
      | hskp7 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c0_1(X70)
            | ~ c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | ~ c1_1(X71)
            | ~ c2_1(X71) ) )
      | hskp9 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | ~ c0_1(X72)
            | ~ c2_1(X72) ) )
      | hskp24
      | hskp16 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c0_1(X73)
            | ~ c2_1(X73) ) )
      | hskp16
      | hskp21 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | ~ c0_1(X74)
            | ~ c3_1(X74) ) )
      | hskp9
      | hskp12 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | ~ c0_1(X75)
            | ~ c3_1(X75) ) )
      | hskp15
      | hskp29 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | ~ c2_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) )
      | hskp1 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | ~ c0_1(X78)
            | ~ c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | ~ c2_1(X79)
            | ~ c3_1(X79) ) )
      | hskp4 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | ~ c0_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | ~ c2_1(X81)
            | ~ c3_1(X81) ) )
      | hskp21 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | ~ c0_1(X82)
            | ~ c3_1(X82) ) )
      | hskp7
      | hskp25 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | ~ c0_1(X83)
            | ~ c1_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | ~ c2_1(X84)
            | ~ c3_1(X84) ) )
      | hskp13 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c0_1(X85)
            | ~ c2_1(X85) ) )
      | hskp25
      | hskp21 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | ~ c0_1(X86)
            | ~ c2_1(X86) ) )
      | hskp20 )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | ~ c1_1(X87)
            | ~ c2_1(X87) ) )
      | hskp3
      | hskp26 )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | ~ c1_1(X88)
            | ~ c2_1(X88) ) )
      | hskp23 )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | ~ c1_1(X89)
            | ~ c3_1(X89) ) )
      | hskp8
      | hskp28 )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | ~ c1_1(X90)
            | ~ c3_1(X90) ) )
      | hskp18
      | hskp28 )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | ~ c2_1(X91)
            | ~ c3_1(X91) ) )
      | hskp11
      | hskp25 )
    & ( hskp31
      | hskp27
      | hskp24 )
    & ( hskp9
      | hskp16
      | hskp22 )
    & ( hskp3
      | hskp23
      | hskp0 )
    & ( hskp8
      | hskp13
      | hskp18 )
    & ( hskp7
      | hskp19
      | hskp12 )
    & ( hskp7
      | hskp1
      | hskp16 )
    & ( hskp13
      | hskp2
      | hskp20 )
    & ( hskp5
      | hskp16
      | hskp22 )
    & ( hskp23
      | hskp12
      | hskp2 )
    & ( hskp24
      | hskp19
      | hskp20 )
    & ( hskp21
      | hskp26
      | hskp17 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a291)
        & ~ c2_1(a291)
        & ~ c3_1(a291) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a292)
        & c3_1(a292)
        & ~ c1_1(a292) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a293)
        & ~ c1_1(a293)
        & ~ c2_1(a293) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a294)
        & c2_1(a294)
        & ~ c1_1(a294) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a295)
        & ~ c2_1(a295)
        & ~ c3_1(a295) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a297)
        & c2_1(a297)
        & ~ c0_1(a297) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a298)
        & ~ c0_1(a298)
        & ~ c1_1(a298) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a299)
        & c3_1(a299)
        & ~ c2_1(a299) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a300)
        & c3_1(a300)
        & ~ c1_1(a300) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a304)
        & c1_1(a304)
        & ~ c2_1(a304) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a305)
        & c2_1(a305)
        & ~ c3_1(a305) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a306)
        & c3_1(a306)
        & ~ c0_1(a306) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a307)
        & ~ c1_1(a307)
        & ~ c3_1(a307) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a308)
        & ~ c1_1(a308)
        & ~ c2_1(a308) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a309)
        & c2_1(a309)
        & ~ c3_1(a309) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a311)
        & c1_1(a311)
        & ~ c3_1(a311) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a315)
        & ~ c0_1(a315)
        & ~ c3_1(a315) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a323)
        & ~ c2_1(a323)
        & ~ c3_1(a323) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a325)
        & ~ c1_1(a325)
        & ~ c3_1(a325) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a326)
        & c3_1(a326)
        & ~ c0_1(a326) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a329)
        & ~ c1_1(a329)
        & ~ c2_1(a329) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a330)
        & ~ c0_1(a330)
        & ~ c2_1(a330) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a331)
        & ~ c2_1(a331)
        & ~ c3_1(a331) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a337)
        & c3_1(a337)
        & ~ c2_1(a337) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a341)
        & ~ c0_1(a341)
        & ~ c3_1(a341) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a353)
        & ~ c0_1(a353)
        & ~ c1_1(a353) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a359)
        & ~ c1_1(a359)
        & ~ c3_1(a359) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a368)
        & ~ c0_1(a368)
        & ~ c2_1(a368) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a296)
        & c2_1(a296)
        & c3_1(a296) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a301)
        & c2_1(a301)
        & c3_1(a301) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a332)
        & c1_1(a332)
        & c3_1(a332) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a367)
        & c1_1(a367)
        & c2_1(a367) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | hskp4
      | hskp28 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c3_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c2_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c2_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c2_1(X10)
          | c3_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c2_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c2_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c1_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | hskp4
      | hskp6 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c3_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c3_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c1_1(X27)
          | ~ c0_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c3_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | c3_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp15
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c0_1(X41)
          | ~ c1_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp13
      | hskp16 )
    & ( ! [X43] :
          ( c0_1(X43)
          | ~ c1_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 )
      | hskp4
      | hskp11 )
    & ( ! [X44] :
          ( c0_1(X44)
          | ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | c2_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X46] :
          ( c0_1(X46)
          | ~ c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c1_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp3
      | hskp2 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp11
      | hskp17 )
    & ( ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | hskp0
      | hskp17 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp30
      | hskp2 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c3_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | hskp15
      | hskp28 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp8
      | hskp23 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X68] :
          ( c1_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp24
      | hskp16 )
    & ( ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp16
      | hskp21 )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp9
      | hskp12 )
    & ( ! [X75] :
          ( c1_1(X75)
          | ~ c0_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp15
      | hskp29 )
    & ( ! [X76] :
          ( c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X78] :
          ( c2_1(X78)
          | ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X82] :
          ( c2_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp7
      | hskp25 )
    & ( ! [X83] :
          ( c3_1(X83)
          | ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp25
      | hskp21 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X87] :
          ( ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp3
      | hskp26 )
    & ( ! [X88] :
          ( ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp8
      | hskp28 )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp18
      | hskp28 )
    & ( ! [X91] :
          ( ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp11
      | hskp25 )
    & ( hskp31
      | hskp27
      | hskp24 )
    & ( hskp9
      | hskp16
      | hskp22 )
    & ( hskp3
      | hskp23
      | hskp0 )
    & ( hskp8
      | hskp13
      | hskp18 )
    & ( hskp7
      | hskp19
      | hskp12 )
    & ( hskp7
      | hskp1
      | hskp16 )
    & ( hskp13
      | hskp2
      | hskp20 )
    & ( hskp5
      | hskp16
      | hskp22 )
    & ( hskp23
      | hskp12
      | hskp2 )
    & ( hskp24
      | hskp19
      | hskp20 )
    & ( hskp21
      | hskp26
      | hskp17 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a291)
        & ~ c2_1(a291)
        & ~ c3_1(a291) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a292)
        & c3_1(a292)
        & ~ c1_1(a292) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c3_1(a293)
        & ~ c1_1(a293)
        & ~ c2_1(a293) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a294)
        & c2_1(a294)
        & ~ c1_1(a294) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a295)
        & ~ c2_1(a295)
        & ~ c3_1(a295) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a297)
        & c2_1(a297)
        & ~ c0_1(a297) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a298)
        & ~ c0_1(a298)
        & ~ c1_1(a298) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a299)
        & c3_1(a299)
        & ~ c2_1(a299) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a300)
        & c3_1(a300)
        & ~ c1_1(a300) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a304)
        & c1_1(a304)
        & ~ c2_1(a304) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a305)
        & c2_1(a305)
        & ~ c3_1(a305) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a306)
        & c3_1(a306)
        & ~ c0_1(a306) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a307)
        & ~ c1_1(a307)
        & ~ c3_1(a307) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a308)
        & ~ c1_1(a308)
        & ~ c2_1(a308) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a309)
        & c2_1(a309)
        & ~ c3_1(a309) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a311)
        & c1_1(a311)
        & ~ c3_1(a311) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a315)
        & ~ c0_1(a315)
        & ~ c3_1(a315) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a323)
        & ~ c2_1(a323)
        & ~ c3_1(a323) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a325)
        & ~ c1_1(a325)
        & ~ c3_1(a325) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a326)
        & c3_1(a326)
        & ~ c0_1(a326) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a329)
        & ~ c1_1(a329)
        & ~ c2_1(a329) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a330)
        & ~ c0_1(a330)
        & ~ c2_1(a330) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a331)
        & ~ c2_1(a331)
        & ~ c3_1(a331) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a337)
        & c3_1(a337)
        & ~ c2_1(a337) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a341)
        & ~ c0_1(a341)
        & ~ c3_1(a341) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c3_1(a353)
        & ~ c0_1(a353)
        & ~ c1_1(a353) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a359)
        & ~ c1_1(a359)
        & ~ c3_1(a359) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c1_1(a368)
        & ~ c0_1(a368)
        & ~ c2_1(a368) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a296)
        & c2_1(a296)
        & c3_1(a296) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a301)
        & c2_1(a301)
        & c3_1(a301) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a332)
        & c1_1(a332)
        & c3_1(a332) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a367)
        & c1_1(a367)
        & c2_1(a367) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | hskp4
      | hskp28 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | hskp5
      | hskp6 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c3_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c2_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c0_1(X9)
          | ~ c2_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c2_1(X10)
          | c3_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c2_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c2_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c2_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( c1_1(X17)
          | ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 ) )
    & ( ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | hskp4
      | hskp6 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c1_1(X20)
          | c3_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | hskp9
      | hskp10 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c3_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c1_1(X27)
          | ~ c0_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | hskp11
      | hskp12 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c3_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | c3_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c2_1(X34)
          | ~ c0_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c3_1(X36)
          | ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | ~ c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp15
      | hskp8 )
    & ( ! [X40] :
          ( c0_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c0_1(X41)
          | ~ c1_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X42] :
          ( c0_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp13
      | hskp16 )
    & ( ! [X43] :
          ( c0_1(X43)
          | ~ c1_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 )
      | hskp4
      | hskp11 )
    & ( ! [X44] :
          ( c0_1(X44)
          | ~ c1_1(X44)
          | ~ c3_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | c2_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X46] :
          ( c0_1(X46)
          | ~ c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c1_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp3
      | hskp2 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp11
      | hskp17 )
    & ( ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | hskp18
      | hskp19 )
    & ( ! [X53] :
          ( c1_1(X53)
          | c2_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | hskp0
      | hskp17 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | ~ c0_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 ) )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp30
      | hskp2 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c3_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | hskp15
      | hskp28 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp8
      | hskp23 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c1_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X68] :
          ( c1_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp24
      | hskp16 )
    & ( ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp16
      | hskp21 )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | hskp9
      | hskp12 )
    & ( ! [X75] :
          ( c1_1(X75)
          | ~ c0_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp15
      | hskp29 )
    & ( ! [X76] :
          ( c1_1(X76)
          | ~ c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X78] :
          ( c2_1(X78)
          | ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X80] :
          ( c2_1(X80)
          | ~ c0_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X82] :
          ( c2_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp7
      | hskp25 )
    & ( ! [X83] :
          ( c3_1(X83)
          | ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | hskp25
      | hskp21 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X87] :
          ( ~ c0_1(X87)
          | ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp3
      | hskp26 )
    & ( ! [X88] :
          ( ~ c0_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp8
      | hskp28 )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp18
      | hskp28 )
    & ( ! [X91] :
          ( ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp11
      | hskp25 )
    & ( hskp31
      | hskp27
      | hskp24 )
    & ( hskp9
      | hskp16
      | hskp22 )
    & ( hskp3
      | hskp23
      | hskp0 )
    & ( hskp8
      | hskp13
      | hskp18 )
    & ( hskp7
      | hskp19
      | hskp12 )
    & ( hskp7
      | hskp1
      | hskp16 )
    & ( hskp13
      | hskp2
      | hskp20 )
    & ( hskp5
      | hskp16
      | hskp22 )
    & ( hskp23
      | hskp12
      | hskp2 )
    & ( hskp24
      | hskp19
      | hskp20 )
    & ( hskp21
      | hskp26
      | hskp17 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp21
    | hskp26
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp24
    | hskp19
    | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp23
    | hskp12
    | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp5
    | hskp16
    | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp7
    | hskp1
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp7
    | hskp19
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp3
    | hskp23
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ( hskp31
    | hskp27
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X89] :
      ( ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | hskp8
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X87] :
      ( ~ c0_1(X87)
      | ~ c1_1(X87)
      | ~ c2_1(X87)
      | ~ ndr1_0
      | hskp3
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X86] :
      ( c3_1(X86)
      | ~ c0_1(X86)
      | ~ c2_1(X86)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X85] :
      ( c3_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | hskp25
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X80,X81] :
      ( c2_1(X80)
      | ~ c0_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | ~ c0_1(X81)
      | ~ c2_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X78,X79] :
      ( c2_1(X78)
      | ~ c0_1(X78)
      | ~ c1_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X75] :
      ( c1_1(X75)
      | ~ c0_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | hskp15
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X73] :
      ( c1_1(X73)
      | ~ c0_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | hskp16
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X72] :
      ( c1_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | hskp24
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | ~ c0_1(X70)
      | ~ c2_1(X70)
      | ~ ndr1_0
      | c3_1(X71)
      | ~ c1_1(X71)
      | ~ c2_1(X71)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | ~ c0_1(X68)
      | ~ c2_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | ~ c0_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0
      | c1_1(X67)
      | ~ c0_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X65] :
      ( c1_1(X65)
      | c3_1(X65)
      | ~ c2_1(X65)
      | ~ ndr1_0
      | hskp8
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X62,X60,X61] :
      ( c1_1(X60)
      | c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c3_1(X61)
      | ~ c1_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | ~ c1_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X58,X59] :
      ( c1_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c3_1(X59)
      | ~ c0_1(X59)
      | ~ c2_1(X59)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X56,X57] :
      ( c1_1(X56)
      | c2_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | c3_1(X57)
      | ~ c0_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X54,X55] :
      ( c1_1(X54)
      | c2_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | c2_1(X55)
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X52] :
      ( c1_1(X52)
      | c2_1(X52)
      | c3_1(X52)
      | ~ ndr1_0
      | hskp18
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X50,X51] :
      ( c1_1(X50)
      | c2_1(X50)
      | c3_1(X50)
      | ~ ndr1_0
      | c1_1(X51)
      | c3_1(X51)
      | ~ c0_1(X51)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X48] :
      ( c0_1(X48)
      | ~ c1_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp3
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X46,X47] :
      ( c0_1(X46)
      | ~ c1_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | c2_1(X47)
      | ~ c0_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | ~ c1_1(X44)
      | ~ c3_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | c2_1(X45)
      | c3_1(X45)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X43] :
      ( c0_1(X43)
      | ~ c1_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0
      | hskp4
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X40,X41] :
      ( c0_1(X40)
      | ~ c1_1(X40)
      | ~ c2_1(X40)
      | ~ ndr1_0
      | c0_1(X41)
      | ~ c1_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X39] :
      ( c0_1(X39)
      | c3_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | hskp15
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c3_1(X37)
      | ~ c2_1(X37)
      | ~ ndr1_0
      | ~ c0_1(X38)
      | ~ c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X34,X32,X33] :
      ( c0_1(X32)
      | c3_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | c3_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | c2_1(X34)
      | ~ c0_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X31,X30] :
      ( c0_1(X30)
      | c3_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | c1_1(X31)
      | c3_1(X31)
      | ~ c0_1(X31)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X29] :
      ( c0_1(X29)
      | c3_1(X29)
      | ~ c1_1(X29)
      | ~ ndr1_0
      | hskp11
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X28,X26,X27] :
      ( c0_1(X26)
      | c3_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | c1_1(X27)
      | ~ c0_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | c1_1(X28)
      | ~ c2_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X24,X25,X23] :
      ( c0_1(X23)
      | c3_1(X23)
      | ~ c1_1(X23)
      | ~ ndr1_0
      | c0_1(X24)
      | c3_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0
      | c0_1(X25)
      | ~ c2_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X21,X19,X20] :
      ( c0_1(X19)
      | c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | c1_1(X20)
      | c3_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | c1_1(X21)
      | ~ c2_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X16,X17,X15] :
      ( c0_1(X15)
      | c2_1(X15)
      | ~ c1_1(X15)
      | ~ ndr1_0
      | c0_1(X16)
      | ~ c2_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c2_1(X13)
      | ~ c1_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c2_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | c2_1(X12)
      | ~ c1_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | c2_1(X8)
      | c3_1(X8)
      | ~ ndr1_0
      | c0_1(X9)
      | ~ c2_1(X9)
      | ~ c3_1(X9)
      | ~ ndr1_0
      | c2_1(X10)
      | c3_1(X10)
      | ~ c1_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X4] :
      ( c0_1(X4)
      | c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0
      | hskp4
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X3] :
      ( c0_1(X3)
      | c1_1(X3)
      | c3_1(X3)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp31
    | c2_1(a367) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp31
    | c1_1(a367) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp31
    | c0_1(a367) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp29
    | c3_1(a301) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp29
    | c2_1(a301) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp29
    | c0_1(a301) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp28
    | c3_1(a296) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp28
    | c2_1(a296) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp28
    | c1_1(a296) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp27
    | ~ c2_1(a368) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp27
    | ~ c0_1(a368) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp27
    | c1_1(a368) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp26
    | ~ c3_1(a359) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp26
    | ~ c1_1(a359) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp26
    | ~ c0_1(a359) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp25
    | ~ c1_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp25
    | ~ c0_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp25
    | c3_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp24
    | ~ c3_1(a341) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp24
    | ~ c0_1(a341) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp24
    | c1_1(a341) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp23
    | ~ c2_1(a337) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp23
    | c3_1(a337) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp23
    | c1_1(a337) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp22
    | ~ c3_1(a331) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp22
    | ~ c2_1(a331) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp22
    | ~ c1_1(a331) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp21
    | ~ c2_1(a330) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp21
    | ~ c0_1(a330) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp21
    | c3_1(a330) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp20
    | ~ c2_1(a329) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp20
    | ~ c1_1(a329) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp20
    | ~ c0_1(a329) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp19
    | ~ c0_1(a326) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp19
    | c3_1(a326) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp19
    | c2_1(a326) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp18
    | ~ c3_1(a325) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp18
    | ~ c1_1(a325) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp18
    | c0_1(a325) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp17
    | ~ c3_1(a323) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp17
    | ~ c2_1(a323) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp17
    | ~ c0_1(a323) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp16
    | ~ c3_1(a315) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp16
    | ~ c0_1(a315) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp16
    | c2_1(a315) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp15
    | ~ c3_1(a311) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp15
    | c1_1(a311) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp15
    | c0_1(a311) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp13
    | ~ c2_1(a308) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp13
    | ~ c1_1(a308) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp13
    | c0_1(a308) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp12
    | ~ c3_1(a307) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp12
    | ~ c1_1(a307) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp12
    | c2_1(a307) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp11
    | ~ c0_1(a306) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp11
    | c3_1(a306) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp11
    | c1_1(a306) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp9
    | ~ c2_1(a304) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp9
    | c1_1(a304) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp9
    | c0_1(a304) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp8
    | ~ c1_1(a300) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp8
    | c3_1(a300) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp8
    | c0_1(a300) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp7
    | ~ c2_1(a299) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp7
    | c3_1(a299) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp7
    | c0_1(a299) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp5
    | ~ c0_1(a297) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp5
    | c2_1(a297) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp5
    | c1_1(a297) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp4
    | ~ c3_1(a295) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp4
    | ~ c2_1(a295) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp4
    | c0_1(a295) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp3
    | ~ c1_1(a294) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp3
    | c2_1(a294) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp3
    | c0_1(a294) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp2
    | ~ c2_1(a293) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp2
    | ~ c1_1(a293) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp2
    | c3_1(a293) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp1
    | ~ c1_1(a292) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp1
    | c3_1(a292) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp1
    | c2_1(a292) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp0
    | ~ c3_1(a291) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp0
    | ~ c2_1(a291) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp0
    | c1_1(a291) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f201,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp0
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f201]) ).

fof(f203,plain,
    ( ~ hskp0
    | c2_1(a291) ),
    inference(consistent_polarity_flipping,[],[f199]) ).

fof(f204,plain,
    ( ~ hskp0
    | c3_1(a291) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f206,plain,
    ( hskp1
    | ~ c2_1(a292) ),
    inference(consistent_polarity_flipping,[],[f196]) ).

fof(f207,plain,
    ( hskp1
    | ~ c3_1(a292) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f208,plain,
    ( hskp1
    | ~ c1_1(a292) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f210,plain,
    ( hskp2
    | ~ c3_1(a293) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f211,plain,
    ( hskp2
    | ~ c1_1(a293) ),
    inference(consistent_polarity_flipping,[],[f191]) ).

fof(f212,plain,
    ( hskp2
    | c2_1(a293) ),
    inference(consistent_polarity_flipping,[],[f190]) ).

fof(f213,plain,
    ( hskp3
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f189]) ).

fof(f214,plain,
    ( hskp3
    | ~ c0_1(a294) ),
    inference(consistent_polarity_flipping,[],[f188]) ).

fof(f215,plain,
    ( hskp3
    | ~ c2_1(a294) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f216,plain,
    ( hskp3
    | ~ c1_1(a294) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f218,plain,
    ( hskp4
    | ~ c0_1(a295) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f219,plain,
    ( hskp4
    | c2_1(a295) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f220,plain,
    ( hskp4
    | c3_1(a295) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f222,plain,
    ( hskp5
    | c1_1(a297) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f223,plain,
    ( hskp5
    | ~ c2_1(a297) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f224,plain,
    ( hskp5
    | c0_1(a297) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f229,plain,
    ( ~ hskp7
    | ~ c0_1(a299) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f230,plain,
    ( ~ hskp7
    | ~ c3_1(a299) ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f231,plain,
    ( ~ hskp7
    | c2_1(a299) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f233,plain,
    ( ~ hskp8
    | ~ c0_1(a300) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f234,plain,
    ( ~ hskp8
    | ~ c3_1(a300) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f236,plain,
    ( ~ hskp9
    | ~ c0_1(a304) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f237,plain,
    ( ~ hskp9
    | c2_1(a304) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f242,plain,
    ( ~ hskp11
    | ~ c3_1(a306) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f243,plain,
    ( ~ hskp11
    | c0_1(a306) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f245,plain,
    ( hskp12
    | ~ c2_1(a307) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f246,plain,
    ( hskp12
    | ~ c1_1(a307) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f247,plain,
    ( hskp12
    | c3_1(a307) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f249,plain,
    ( ~ hskp13
    | ~ c0_1(a308) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f250,plain,
    ( ~ hskp13
    | c2_1(a308) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f256,plain,
    ( hskp15
    | ~ c0_1(a311) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f257,plain,
    ( hskp15
    | c1_1(a311) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f258,plain,
    ( hskp15
    | c3_1(a311) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f260,plain,
    ( hskp16
    | ~ c2_1(a315) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f261,plain,
    ( hskp16
    | c0_1(a315) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f262,plain,
    ( hskp16
    | c3_1(a315) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f263,plain,
    ( hskp17
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f133]) ).

fof(f264,plain,
    ( hskp17
    | c0_1(a323) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f265,plain,
    ( hskp17
    | c2_1(a323) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f266,plain,
    ( hskp17
    | c3_1(a323) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f268,plain,
    ( hskp18
    | ~ c0_1(a325) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f269,plain,
    ( hskp18
    | ~ c1_1(a325) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f270,plain,
    ( hskp18
    | c3_1(a325) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f272,plain,
    ( ~ hskp19
    | ~ c2_1(a326) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f273,plain,
    ( ~ hskp19
    | ~ c3_1(a326) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f274,plain,
    ( ~ hskp19
    | c0_1(a326) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f276,plain,
    ( ~ hskp20
    | c0_1(a329) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f277,plain,
    ( ~ hskp20
    | c2_1(a329) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f279,plain,
    ( hskp21
    | ~ c3_1(a330) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f280,plain,
    ( hskp21
    | c0_1(a330) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f281,plain,
    ( hskp21
    | c2_1(a330) ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f283,plain,
    ( ~ hskp22
    | c2_1(a331) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f284,plain,
    ( ~ hskp22
    | c3_1(a331) ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f285,plain,
    ( hskp23
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f286,plain,
    ( hskp23
    | c1_1(a337) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f287,plain,
    ( hskp23
    | ~ c3_1(a337) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f288,plain,
    ( hskp23
    | c2_1(a337) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f290,plain,
    ( ~ hskp24
    | c0_1(a341) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f291,plain,
    ( ~ hskp24
    | c3_1(a341) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f293,plain,
    ( ~ hskp25
    | ~ c3_1(a353) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f294,plain,
    ( ~ hskp25
    | c0_1(a353) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f296,plain,
    ( ~ hskp26
    | c0_1(a359) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f297,plain,
    ( ~ hskp26
    | c3_1(a359) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f299,plain,
    ( hskp27
    | c1_1(a368) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f300,plain,
    ( hskp27
    | c0_1(a368) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f301,plain,
    ( hskp27
    | c2_1(a368) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f303,plain,
    ( ~ hskp28
    | ~ c2_1(a296) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f304,plain,
    ( ~ hskp28
    | ~ c3_1(a296) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f306,plain,
    ( hskp29
    | ~ c0_1(a301) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f307,plain,
    ( hskp29
    | ~ c2_1(a301) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f308,plain,
    ( hskp29
    | ~ c3_1(a301) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f313,plain,
    ( ~ hskp31
    | ~ c0_1(a367) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f314,plain,
    ( ~ hskp31
    | ~ c2_1(a367) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f317,plain,
    ! [X3] :
      ( ~ c0_1(X3)
      | c1_1(X3)
      | ~ c3_1(X3)
      | ndr1_0
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f318,plain,
    ! [X4] :
      ( ~ c0_1(X4)
      | c1_1(X4)
      | ~ c3_1(X4)
      | ndr1_0
      | ~ hskp4
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f321,plain,
    ! [X10,X8,X9] :
      ( ~ c0_1(X8)
      | ~ c2_1(X8)
      | ~ c3_1(X8)
      | ndr1_0
      | ~ c0_1(X9)
      | c2_1(X9)
      | c3_1(X9)
      | ndr1_0
      | ~ c2_1(X10)
      | ~ c3_1(X10)
      | ~ c1_1(X10)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f322,plain,
    ! [X11,X12] :
      ( ~ c0_1(X11)
      | ~ c2_1(X11)
      | ~ c3_1(X11)
      | ndr1_0
      | ~ c2_1(X12)
      | ~ c1_1(X12)
      | c3_1(X12)
      | ndr1_0
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f323,plain,
    ! [X14,X13] :
      ( ~ c0_1(X13)
      | ~ c2_1(X13)
      | ~ c1_1(X13)
      | ndr1_0
      | ~ c0_1(X14)
      | ~ c1_1(X14)
      | c2_1(X14)
      | ndr1_0
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f324,plain,
    ! [X16,X17,X15] :
      ( ~ c0_1(X15)
      | ~ c2_1(X15)
      | ~ c1_1(X15)
      | ndr1_0
      | ~ c0_1(X16)
      | c2_1(X16)
      | c3_1(X16)
      | ndr1_0
      | c1_1(X17)
      | c2_1(X17)
      | c3_1(X17)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f326,plain,
    ! [X21,X19,X20] :
      ( ~ c0_1(X19)
      | ~ c2_1(X19)
      | c3_1(X19)
      | ndr1_0
      | c1_1(X20)
      | ~ c3_1(X20)
      | c2_1(X20)
      | ndr1_0
      | c1_1(X21)
      | c2_1(X21)
      | c3_1(X21)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f328,plain,
    ! [X24,X25,X23] :
      ( ~ c0_1(X23)
      | ~ c3_1(X23)
      | ~ c1_1(X23)
      | ndr1_0
      | ~ c0_1(X24)
      | ~ c3_1(X24)
      | c2_1(X24)
      | ndr1_0
      | ~ c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f329,plain,
    ! [X28,X26,X27] :
      ( ~ c0_1(X26)
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | ndr1_0
      | c1_1(X27)
      | c0_1(X27)
      | c3_1(X27)
      | ndr1_0
      | c1_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f330,plain,
    ! [X29] :
      ( ~ c0_1(X29)
      | ~ c3_1(X29)
      | ~ c1_1(X29)
      | ndr1_0
      | hskp11
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f331,plain,
    ! [X31,X30] :
      ( ~ c0_1(X30)
      | ~ c3_1(X30)
      | c2_1(X30)
      | ndr1_0
      | c1_1(X31)
      | ~ c3_1(X31)
      | c0_1(X31)
      | ndr1_0
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f332,plain,
    ! [X34,X32,X33] :
      ( ~ c0_1(X32)
      | ~ c3_1(X32)
      | c2_1(X32)
      | ndr1_0
      | ~ c2_1(X33)
      | ~ c3_1(X33)
      | c0_1(X33)
      | ndr1_0
      | ~ c2_1(X34)
      | c0_1(X34)
      | c3_1(X34)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f334,plain,
    ! [X38,X37] :
      ( ~ c0_1(X37)
      | ~ c3_1(X37)
      | c2_1(X37)
      | ndr1_0
      | c0_1(X38)
      | c2_1(X38)
      | c3_1(X38)
      | ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f335,plain,
    ! [X39] :
      ( ~ c0_1(X39)
      | ~ c3_1(X39)
      | c2_1(X39)
      | ndr1_0
      | ~ hskp15
      | hskp8 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f336,plain,
    ! [X40,X41] :
      ( ~ c0_1(X40)
      | ~ c1_1(X40)
      | c2_1(X40)
      | ndr1_0
      | ~ c0_1(X41)
      | ~ c1_1(X41)
      | c3_1(X41)
      | ndr1_0
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f338,plain,
    ! [X43] :
      ( ~ c0_1(X43)
      | ~ c1_1(X43)
      | c2_1(X43)
      | ndr1_0
      | ~ hskp4
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f339,plain,
    ! [X44,X45] :
      ( ~ c0_1(X44)
      | ~ c1_1(X44)
      | c3_1(X44)
      | ndr1_0
      | c1_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | ndr1_0
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f340,plain,
    ! [X46,X47] :
      ( ~ c0_1(X46)
      | ~ c1_1(X46)
      | c3_1(X46)
      | ndr1_0
      | ~ c2_1(X47)
      | c0_1(X47)
      | ~ c1_1(X47)
      | ndr1_0
      | ~ hskp15 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f341,plain,
    ! [X48] :
      ( ~ c0_1(X48)
      | ~ c1_1(X48)
      | c3_1(X48)
      | ndr1_0
      | ~ hskp3
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f343,plain,
    ! [X50,X51] :
      ( c1_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ndr1_0
      | c1_1(X51)
      | ~ c3_1(X51)
      | c0_1(X51)
      | ndr1_0
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f344,plain,
    ! [X52] :
      ( c1_1(X52)
      | ~ c2_1(X52)
      | ~ c3_1(X52)
      | ndr1_0
      | ~ hskp18
      | hskp19 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f346,plain,
    ! [X54,X55] :
      ( c1_1(X54)
      | ~ c2_1(X54)
      | c3_1(X54)
      | ndr1_0
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | c0_1(X55)
      | ndr1_0
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f347,plain,
    ! [X56,X57] :
      ( c1_1(X56)
      | ~ c2_1(X56)
      | c3_1(X56)
      | ndr1_0
      | ~ c3_1(X57)
      | c0_1(X57)
      | c2_1(X57)
      | ndr1_0
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f348,plain,
    ! [X58,X59] :
      ( c1_1(X58)
      | ~ c2_1(X58)
      | c3_1(X58)
      | ndr1_0
      | ~ c3_1(X59)
      | c0_1(X59)
      | c2_1(X59)
      | ndr1_0
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f349,plain,
    ! [X62,X60,X61] :
      ( c1_1(X60)
      | ~ c2_1(X60)
      | c3_1(X60)
      | ndr1_0
      | ~ c3_1(X61)
      | ~ c1_1(X61)
      | c2_1(X61)
      | ndr1_0
      | ~ c1_1(X62)
      | c2_1(X62)
      | c3_1(X62)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f352,plain,
    ! [X65] :
      ( c1_1(X65)
      | ~ c3_1(X65)
      | c2_1(X65)
      | ndr1_0
      | hskp8
      | ~ hskp23 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f353,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | c0_1(X66)
      | c2_1(X66)
      | ndr1_0
      | c1_1(X67)
      | c0_1(X67)
      | c3_1(X67)
      | ndr1_0
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f354,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c0_1(X68)
      | c2_1(X68)
      | ndr1_0
      | ~ c3_1(X69)
      | c0_1(X69)
      | ~ c1_1(X69)
      | ndr1_0
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f355,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c0_1(X70)
      | c2_1(X70)
      | ndr1_0
      | ~ c3_1(X71)
      | ~ c1_1(X71)
      | c2_1(X71)
      | ndr1_0
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f356,plain,
    ! [X72] :
      ( c1_1(X72)
      | c0_1(X72)
      | c2_1(X72)
      | ndr1_0
      | hskp24
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f357,plain,
    ! [X73] :
      ( c1_1(X73)
      | c0_1(X73)
      | c2_1(X73)
      | ndr1_0
      | ~ hskp16
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f359,plain,
    ! [X75] :
      ( c1_1(X75)
      | c0_1(X75)
      | c3_1(X75)
      | ndr1_0
      | ~ hskp15
      | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f361,plain,
    ! [X78,X79] :
      ( ~ c2_1(X78)
      | c0_1(X78)
      | ~ c1_1(X78)
      | ndr1_0
      | c0_1(X79)
      | c2_1(X79)
      | c3_1(X79)
      | ndr1_0
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f362,plain,
    ! [X80,X81] :
      ( ~ c2_1(X80)
      | c0_1(X80)
      | c3_1(X80)
      | ndr1_0
      | c0_1(X81)
      | c2_1(X81)
      | c3_1(X81)
      | ndr1_0
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f365,plain,
    ! [X85] :
      ( ~ c3_1(X85)
      | c0_1(X85)
      | c2_1(X85)
      | ndr1_0
      | hskp25
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f366,plain,
    ! [X86] :
      ( ~ c3_1(X86)
      | c0_1(X86)
      | c2_1(X86)
      | ndr1_0
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f367,plain,
    ! [X87] :
      ( c0_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ndr1_0
      | ~ hskp3
      | hskp26 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f369,plain,
    ! [X89] :
      ( c0_1(X89)
      | ~ c1_1(X89)
      | c3_1(X89)
      | ndr1_0
      | hskp8
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f372,plain,
    ( hskp31
    | ~ hskp27
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f374,plain,
    ( ~ hskp3
    | ~ hskp23
    | hskp0 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f376,plain,
    ( hskp7
    | hskp19
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f377,plain,
    ( hskp7
    | ~ hskp1
    | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f379,plain,
    ( ~ hskp5
    | ~ hskp16
    | hskp22 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f380,plain,
    ( ~ hskp23
    | ~ hskp12
    | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f381,plain,
    ( ~ hskp21
    | hskp26
    | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f383,plain,
    ! [X80,X81] :
      ( ~ c2_1(X80)
      | c0_1(X80)
      | c3_1(X80)
      | ndr1_0
      | c0_1(X81)
      | c2_1(X81)
      | c3_1(X81)
      | ~ hskp21 ),
    inference(duplicate_literal_removal,[],[f362]) ).

fof(f384,plain,
    ! [X78,X79] :
      ( ~ c2_1(X78)
      | c0_1(X78)
      | ~ c1_1(X78)
      | ndr1_0
      | c0_1(X79)
      | c2_1(X79)
      | c3_1(X79)
      | ~ hskp4 ),
    inference(duplicate_literal_removal,[],[f361]) ).

fof(f386,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c0_1(X70)
      | c2_1(X70)
      | ndr1_0
      | ~ c3_1(X71)
      | ~ c1_1(X71)
      | c2_1(X71)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f355]) ).

fof(f387,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c0_1(X68)
      | c2_1(X68)
      | ndr1_0
      | ~ c3_1(X69)
      | c0_1(X69)
      | ~ c1_1(X69)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f354]) ).

fof(f388,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | c0_1(X66)
      | c2_1(X66)
      | ndr1_0
      | c1_1(X67)
      | c0_1(X67)
      | c3_1(X67)
      | ~ hskp16 ),
    inference(duplicate_literal_removal,[],[f353]) ).

fof(f389,plain,
    ! [X62,X60,X61] :
      ( c1_1(X60)
      | ~ c2_1(X60)
      | c3_1(X60)
      | ndr1_0
      | ~ c3_1(X61)
      | ~ c1_1(X61)
      | c2_1(X61)
      | ~ c1_1(X62)
      | c2_1(X62)
      | c3_1(X62) ),
    inference(duplicate_literal_removal,[],[f349]) ).

fof(f390,plain,
    ! [X58,X59] :
      ( c1_1(X58)
      | ~ c2_1(X58)
      | c3_1(X58)
      | ndr1_0
      | ~ c3_1(X59)
      | c0_1(X59)
      | c2_1(X59)
      | hskp22 ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f391,plain,
    ! [X56,X57] :
      ( c1_1(X56)
      | ~ c2_1(X56)
      | c3_1(X56)
      | ndr1_0
      | ~ c3_1(X57)
      | c0_1(X57)
      | c2_1(X57)
      | ~ hskp21 ),
    inference(duplicate_literal_removal,[],[f347]) ).

fof(f392,plain,
    ! [X54,X55] :
      ( c1_1(X54)
      | ~ c2_1(X54)
      | c3_1(X54)
      | ndr1_0
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | c0_1(X55)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f346]) ).

fof(f393,plain,
    ! [X50,X51] :
      ( c1_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ndr1_0
      | c1_1(X51)
      | ~ c3_1(X51)
      | c0_1(X51)
      | ~ hskp3 ),
    inference(duplicate_literal_removal,[],[f343]) ).

fof(f394,plain,
    ! [X46,X47] :
      ( ~ c0_1(X46)
      | ~ c1_1(X46)
      | c3_1(X46)
      | ndr1_0
      | ~ c2_1(X47)
      | c0_1(X47)
      | ~ c1_1(X47)
      | ~ hskp15 ),
    inference(duplicate_literal_removal,[],[f340]) ).

fof(f395,plain,
    ! [X44,X45] :
      ( ~ c0_1(X44)
      | ~ c1_1(X44)
      | c3_1(X44)
      | ndr1_0
      | c1_1(X45)
      | ~ c2_1(X45)
      | ~ c3_1(X45)
      | ~ hskp4 ),
    inference(duplicate_literal_removal,[],[f339]) ).

fof(f396,plain,
    ! [X40,X41] :
      ( ~ c0_1(X40)
      | ~ c1_1(X40)
      | c2_1(X40)
      | ndr1_0
      | ~ c0_1(X41)
      | ~ c1_1(X41)
      | c3_1(X41)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f336]) ).

fof(f397,plain,
    ! [X38,X37] :
      ( ~ c0_1(X37)
      | ~ c3_1(X37)
      | c2_1(X37)
      | ndr1_0
      | c0_1(X38)
      | c2_1(X38)
      | c3_1(X38)
      | ~ hskp5 ),
    inference(duplicate_literal_removal,[],[f334]) ).

fof(f399,plain,
    ! [X34,X32,X33] :
      ( ~ c0_1(X32)
      | ~ c3_1(X32)
      | c2_1(X32)
      | ndr1_0
      | ~ c2_1(X33)
      | ~ c3_1(X33)
      | c0_1(X33)
      | ~ c2_1(X34)
      | c0_1(X34)
      | c3_1(X34) ),
    inference(duplicate_literal_removal,[],[f332]) ).

fof(f400,plain,
    ! [X31,X30] :
      ( ~ c0_1(X30)
      | ~ c3_1(X30)
      | c2_1(X30)
      | ndr1_0
      | c1_1(X31)
      | ~ c3_1(X31)
      | c0_1(X31)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f331]) ).

fof(f401,plain,
    ! [X28,X26,X27] :
      ( ~ c0_1(X26)
      | ~ c3_1(X26)
      | ~ c1_1(X26)
      | ndr1_0
      | c1_1(X27)
      | c0_1(X27)
      | c3_1(X27)
      | c1_1(X28)
      | c2_1(X28)
      | c3_1(X28) ),
    inference(duplicate_literal_removal,[],[f329]) ).

fof(f402,plain,
    ! [X24,X25,X23] :
      ( ~ c0_1(X23)
      | ~ c3_1(X23)
      | ~ c1_1(X23)
      | ndr1_0
      | ~ c0_1(X24)
      | ~ c3_1(X24)
      | c2_1(X24)
      | ~ c0_1(X25)
      | c2_1(X25)
      | c3_1(X25) ),
    inference(duplicate_literal_removal,[],[f328]) ).

fof(f403,plain,
    ! [X21,X19,X20] :
      ( ~ c0_1(X19)
      | ~ c2_1(X19)
      | c3_1(X19)
      | ndr1_0
      | c1_1(X20)
      | ~ c3_1(X20)
      | c2_1(X20)
      | c1_1(X21)
      | c2_1(X21)
      | c3_1(X21) ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f404,plain,
    ! [X16,X17,X15] :
      ( ~ c0_1(X15)
      | ~ c2_1(X15)
      | ~ c1_1(X15)
      | ndr1_0
      | ~ c0_1(X16)
      | c2_1(X16)
      | c3_1(X16)
      | c1_1(X17)
      | c2_1(X17)
      | c3_1(X17) ),
    inference(duplicate_literal_removal,[],[f324]) ).

fof(f405,plain,
    ! [X14,X13] :
      ( ~ c0_1(X13)
      | ~ c2_1(X13)
      | ~ c1_1(X13)
      | ndr1_0
      | ~ c0_1(X14)
      | ~ c1_1(X14)
      | c2_1(X14)
      | ~ hskp29 ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f406,plain,
    ! [X11,X12] :
      ( ~ c0_1(X11)
      | ~ c2_1(X11)
      | ~ c3_1(X11)
      | ndr1_0
      | ~ c2_1(X12)
      | ~ c1_1(X12)
      | c3_1(X12)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f407,plain,
    ! [X10,X8,X9] :
      ( ~ c0_1(X8)
      | ~ c2_1(X8)
      | ~ c3_1(X8)
      | ndr1_0
      | ~ c0_1(X9)
      | c2_1(X9)
      | c3_1(X9)
      | ~ c2_1(X10)
      | ~ c3_1(X10)
      | ~ c1_1(X10) ),
    inference(duplicate_literal_removal,[],[f321]) ).

fof(f411,definition,
    ( spl0_1
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f415,definition,
    ( spl0_2
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f419,definition,
    ( spl0_3
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f422,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f381,f419,f415,f411]) ).

fof(f424,definition,
    ( spl0_4
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f428,definition,
    ( spl0_5
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f432,definition,
    ( spl0_6
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f435,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f432,f428,f424]) ).

fof(f437,definition,
    ( spl0_7
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f441,definition,
    ( spl0_8
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f445,definition,
    ( spl0_9
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f448,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f380,f445,f441,f437]) ).

fof(f450,definition,
    ( spl0_10
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f454,definition,
    ( spl0_11
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f458,definition,
    ( spl0_12
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f461,plain,
    ( spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f379,f458,f454,f450]) ).

fof(f463,definition,
    ( spl0_13
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f468,definition,
    ( spl0_14
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f472,definition,
    ( spl0_15
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f475,plain,
    ( ~ spl0_11
    | ~ spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f377,f472,f468,f454]) ).

fof(f476,plain,
    ( ~ spl0_8
    | spl0_5
    | spl0_15 ),
    inference(avatar_split_clause,[],[f376,f472,f428,f441]) ).

fof(f478,definition,
    ( spl0_16
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f482,definition,
    ( spl0_17
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f487,definition,
    ( spl0_18
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f491,definition,
    ( spl0_19
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f494,plain,
    ( spl0_18
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f374,f491,f445,f487]) ).

fof(f496,definition,
    ( spl0_20
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f501,definition,
    ( spl0_21
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f505,definition,
    ( spl0_22
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f508,plain,
    ( spl0_6
    | ~ spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f372,f505,f501,f432]) ).

fof(f510,definition,
    ( spl0_23
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f514,definition,
    ( spl0_24
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f518,definition,
    ( spl0_25
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f522,definition,
    ( spl0_26
  <=> ! [X91] :
        ( c0_1(X91)
        | c3_1(X91)
        | c2_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f523,plain,
    ( ! [X91] :
        ( c0_1(X91)
        | c3_1(X91)
        | c2_1(X91) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f526,definition,
    ( spl0_27
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f530,definition,
    ( spl0_28
  <=> ! [X90] :
        ( c0_1(X90)
        | c3_1(X90)
        | ~ c1_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f531,plain,
    ( ! [X90] :
        ( c0_1(X90)
        | c3_1(X90)
        | ~ c1_1(X90) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f533,plain,
    ( spl0_27
    | spl0_17
    | spl0_25
    | spl0_28 ),
    inference(avatar_split_clause,[],[f369,f530,f518,f482,f526]) ).

fof(f535,definition,
    ( spl0_29
  <=> ! [X88] :
        ( c0_1(X88)
        | c2_1(X88)
        | ~ c1_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f536,plain,
    ( ! [X88] :
        ( c0_1(X88)
        | c2_1(X88)
        | ~ c1_1(X88) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f535]) ).

fof(f538,plain,
    ( spl0_2
    | ~ spl0_19
    | spl0_25
    | spl0_29 ),
    inference(avatar_split_clause,[],[f367,f535,f518,f491,f415]) ).

fof(f540,definition,
    ( spl0_30
  <=> ! [X86] :
        ( ~ c3_1(X86)
        | c2_1(X86)
        | c0_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f541,plain,
    ( ! [X86] :
        ( c0_1(X86)
        | c2_1(X86)
        | ~ c3_1(X86) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f542,plain,
    ( spl0_4
    | spl0_25
    | spl0_30 ),
    inference(avatar_split_clause,[],[f366,f540,f518,f424]) ).

fof(f543,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_25
    | spl0_30 ),
    inference(avatar_split_clause,[],[f365,f540,f518,f510,f419]) ).

fof(f545,definition,
    ( spl0_31
  <=> ! [X83] :
        ( ~ c3_1(X83)
        | ~ c1_1(X83)
        | c0_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f546,plain,
    ( ! [X83] :
        ( c0_1(X83)
        | ~ c1_1(X83)
        | ~ c3_1(X83) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f549,definition,
    ( spl0_32
  <=> ! [X82] :
        ( ~ c2_1(X82)
        | c3_1(X82)
        | c0_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f550,plain,
    ( ! [X82] :
        ( c0_1(X82)
        | c3_1(X82)
        | ~ c2_1(X82) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f549]) ).

fof(f552,plain,
    ( ~ spl0_3
    | spl0_26
    | spl0_25
    | spl0_32 ),
    inference(avatar_split_clause,[],[f383,f549,f518,f522,f419]) ).

fof(f554,definition,
    ( spl0_33
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f558,definition,
    ( spl0_34
  <=> ! [X78] :
        ( ~ c2_1(X78)
        | ~ c1_1(X78)
        | c0_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f559,plain,
    ( ! [X78] :
        ( c0_1(X78)
        | ~ c1_1(X78)
        | ~ c2_1(X78) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f560,plain,
    ( ~ spl0_33
    | spl0_26
    | spl0_25
    | spl0_34 ),
    inference(avatar_split_clause,[],[f384,f558,f518,f522,f554]) ).

fof(f562,definition,
    ( spl0_35
  <=> ! [X76] :
        ( c1_1(X76)
        | c3_1(X76)
        | c2_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f563,plain,
    ( ! [X76] :
        ( c3_1(X76)
        | c1_1(X76)
        | c2_1(X76) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f566,definition,
    ( spl0_36
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f570,definition,
    ( spl0_37
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f574,definition,
    ( spl0_38
  <=> ! [X75] :
        ( c1_1(X75)
        | c3_1(X75)
        | c0_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f575,plain,
    ( ! [X75] :
        ( c0_1(X75)
        | c3_1(X75)
        | c1_1(X75) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f576,plain,
    ( ~ spl0_36
    | ~ spl0_37
    | spl0_25
    | spl0_38 ),
    inference(avatar_split_clause,[],[f359,f574,f518,f570,f566]) ).

fof(f579,definition,
    ( spl0_39
  <=> ! [X73] :
        ( c1_1(X73)
        | c2_1(X73)
        | c0_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f580,plain,
    ( ! [X73] :
        ( c0_1(X73)
        | c2_1(X73)
        | c1_1(X73) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f581,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f357,f579,f518,f454,f419]) ).

fof(f582,plain,
    ( ~ spl0_11
    | spl0_6
    | spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f356,f579,f518,f432,f454]) ).

fof(f584,definition,
    ( spl0_40
  <=> ! [X71] :
        ( ~ c3_1(X71)
        | c2_1(X71)
        | ~ c1_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f585,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c2_1(X71)
        | ~ c1_1(X71) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f586,plain,
    ( spl0_20
    | spl0_40
    | spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f386,f579,f518,f584,f496]) ).

fof(f587,plain,
    ( spl0_15
    | spl0_31
    | spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f387,f579,f518,f545,f472]) ).

fof(f588,plain,
    ( ~ spl0_11
    | spl0_38
    | spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f388,f579,f518,f574,f454]) ).

fof(f590,definition,
    ( spl0_41
  <=> ! [X65] :
        ( c1_1(X65)
        | c2_1(X65)
        | ~ c3_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f591,plain,
    ( ! [X65] :
        ( ~ c3_1(X65)
        | c2_1(X65)
        | c1_1(X65) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f592,plain,
    ( ~ spl0_9
    | spl0_17
    | spl0_25
    | spl0_41 ),
    inference(avatar_split_clause,[],[f352,f590,f518,f482,f445]) ).

fof(f594,definition,
    ( spl0_42
  <=> ! [X64] :
        ( c1_1(X64)
        | c0_1(X64)
        | ~ c3_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f595,plain,
    ( ! [X64] :
        ( c0_1(X64)
        | c1_1(X64)
        | ~ c3_1(X64) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f602,definition,
    ( spl0_44
  <=> ! [X63] :
        ( c1_1(X63)
        | c3_1(X63)
        | ~ c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f603,plain,
    ( ! [X63] :
        ( c3_1(X63)
        | c1_1(X63)
        | ~ c2_1(X63) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f606,definition,
    ( spl0_45
  <=> ! [X62] :
        ( ~ c1_1(X62)
        | c3_1(X62)
        | c2_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f607,plain,
    ( ! [X62] :
        ( c3_1(X62)
        | ~ c1_1(X62)
        | c2_1(X62) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f608,plain,
    ( spl0_45
    | spl0_40
    | spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f389,f602,f518,f584,f606]) ).

fof(f609,plain,
    ( spl0_10
    | spl0_30
    | spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f390,f602,f518,f540,f450]) ).

fof(f610,plain,
    ( ~ spl0_3
    | spl0_30
    | spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f391,f602,f518,f540,f419]) ).

fof(f612,definition,
    ( spl0_46
  <=> ! [X55] :
        ( ~ c2_1(X55)
        | c0_1(X55)
        | ~ c3_1(X55) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f613,plain,
    ( ! [X55] :
        ( c0_1(X55)
        | ~ c2_1(X55)
        | ~ c3_1(X55) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f614,plain,
    ( spl0_4
    | spl0_46
    | spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f392,f602,f518,f612,f424]) ).

fof(f620,definition,
    ( spl0_48
  <=> ! [X52] :
        ( c1_1(X52)
        | ~ c3_1(X52)
        | ~ c2_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f621,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | c1_1(X52)
        | ~ c2_1(X52) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f622,plain,
    ( spl0_5
    | ~ spl0_16
    | spl0_25
    | spl0_48 ),
    inference(avatar_split_clause,[],[f344,f620,f518,f478,f428]) ).

fof(f623,plain,
    ( ~ spl0_19
    | spl0_42
    | spl0_25
    | spl0_48 ),
    inference(avatar_split_clause,[],[f393,f620,f518,f594,f491]) ).

fof(f625,definition,
    ( spl0_49
  <=> ! [X49] :
        ( ~ c0_1(X49)
        | c3_1(X49)
        | ~ c1_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f626,plain,
    ( ! [X49] :
        ( ~ c0_1(X49)
        | c3_1(X49)
        | ~ c1_1(X49) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f628,plain,
    ( ~ spl0_7
    | ~ spl0_19
    | spl0_25
    | spl0_49 ),
    inference(avatar_split_clause,[],[f341,f625,f518,f491,f437]) ).

fof(f629,plain,
    ( ~ spl0_37
    | spl0_34
    | spl0_25
    | spl0_49 ),
    inference(avatar_split_clause,[],[f394,f625,f518,f558,f570]) ).

fof(f630,plain,
    ( ~ spl0_33
    | spl0_48
    | spl0_25
    | spl0_49 ),
    inference(avatar_split_clause,[],[f395,f625,f518,f620,f554]) ).

fof(f632,definition,
    ( spl0_50
  <=> ! [X43] :
        ( ~ c0_1(X43)
        | c2_1(X43)
        | ~ c1_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f633,plain,
    ( ! [X43] :
        ( ~ c0_1(X43)
        | c2_1(X43)
        | ~ c1_1(X43) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f634,plain,
    ( spl0_24
    | ~ spl0_33
    | spl0_25
    | spl0_50 ),
    inference(avatar_split_clause,[],[f338,f632,f518,f554,f514]) ).

fof(f636,plain,
    ( spl0_15
    | spl0_49
    | spl0_25
    | spl0_50 ),
    inference(avatar_split_clause,[],[f396,f632,f518,f625,f472]) ).

fof(f638,definition,
    ( spl0_51
  <=> ! [X39] :
        ( ~ c0_1(X39)
        | c2_1(X39)
        | ~ c3_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f639,plain,
    ( ! [X39] :
        ( ~ c0_1(X39)
        | c2_1(X39)
        | ~ c3_1(X39) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f640,plain,
    ( spl0_17
    | ~ spl0_37
    | spl0_25
    | spl0_51 ),
    inference(avatar_split_clause,[],[f335,f638,f518,f570,f482]) ).

fof(f641,plain,
    ( ~ spl0_12
    | spl0_26
    | spl0_25
    | spl0_51 ),
    inference(avatar_split_clause,[],[f397,f638,f518,f522,f458]) ).

fof(f647,plain,
    ( spl0_32
    | spl0_46
    | spl0_25
    | spl0_51 ),
    inference(avatar_split_clause,[],[f399,f638,f518,f612,f549]) ).

fof(f648,plain,
    ( spl0_13
    | spl0_42
    | spl0_25
    | spl0_51 ),
    inference(avatar_split_clause,[],[f400,f638,f518,f594,f463]) ).

fof(f650,definition,
    ( spl0_53
  <=> ! [X29] :
        ( ~ c0_1(X29)
        | ~ c1_1(X29)
        | ~ c3_1(X29) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f651,plain,
    ( ! [X29] :
        ( ~ c0_1(X29)
        | ~ c1_1(X29)
        | ~ c3_1(X29) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f652,plain,
    ( ~ spl0_8
    | spl0_24
    | spl0_25
    | spl0_53 ),
    inference(avatar_split_clause,[],[f330,f650,f518,f514,f441]) ).

fof(f653,plain,
    ( spl0_35
    | spl0_38
    | spl0_25
    | spl0_53 ),
    inference(avatar_split_clause,[],[f401,f650,f518,f574,f562]) ).

fof(f655,definition,
    ( spl0_54
  <=> ! [X25] :
        ( ~ c0_1(X25)
        | c3_1(X25)
        | c2_1(X25) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f656,plain,
    ( ! [X25] :
        ( ~ c0_1(X25)
        | c3_1(X25)
        | c2_1(X25) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f657,plain,
    ( spl0_54
    | spl0_51
    | spl0_25
    | spl0_53 ),
    inference(avatar_split_clause,[],[f402,f650,f518,f638,f655]) ).

fof(f663,definition,
    ( spl0_56
  <=> ! [X22] :
        ( ~ c0_1(X22)
        | c3_1(X22)
        | ~ c2_1(X22) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f664,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f666,plain,
    ( spl0_35
    | spl0_41
    | spl0_25
    | spl0_56 ),
    inference(avatar_split_clause,[],[f403,f663,f518,f590,f562]) ).

fof(f672,definition,
    ( spl0_58
  <=> ! [X18] :
        ( ~ c0_1(X18)
        | ~ c1_1(X18)
        | ~ c2_1(X18) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f673,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | ~ c1_1(X18)
        | ~ c2_1(X18) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f675,plain,
    ( spl0_35
    | spl0_54
    | spl0_25
    | spl0_58 ),
    inference(avatar_split_clause,[],[f404,f672,f518,f655,f562]) ).

fof(f676,plain,
    ( ~ spl0_36
    | spl0_50
    | spl0_25
    | spl0_58 ),
    inference(avatar_split_clause,[],[f405,f672,f518,f632,f566]) ).

fof(f678,definition,
    ( spl0_59
  <=> ! [X12] :
        ( ~ c2_1(X12)
        | c3_1(X12)
        | ~ c1_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f679,plain,
    ( ! [X12] :
        ( c3_1(X12)
        | ~ c2_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f681,definition,
    ( spl0_60
  <=> ! [X11] :
        ( ~ c0_1(X11)
        | ~ c3_1(X11)
        | ~ c2_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f682,plain,
    ( ! [X11] :
        ( ~ c0_1(X11)
        | ~ c3_1(X11)
        | ~ c2_1(X11) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f683,plain,
    ( spl0_17
    | spl0_59
    | spl0_25
    | spl0_60 ),
    inference(avatar_split_clause,[],[f406,f681,f518,f678,f482]) ).

fof(f685,definition,
    ( spl0_61
  <=> ! [X10] :
        ( ~ c2_1(X10)
        | ~ c1_1(X10)
        | ~ c3_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f686,plain,
    ( ! [X10] :
        ( ~ c3_1(X10)
        | ~ c1_1(X10)
        | ~ c2_1(X10) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f687,plain,
    ( spl0_61
    | spl0_54
    | spl0_25
    | spl0_60 ),
    inference(avatar_split_clause,[],[f407,f681,f518,f655,f685]) ).

fof(f697,definition,
    ( spl0_64
  <=> ! [X4] :
        ( ~ c0_1(X4)
        | ~ c3_1(X4)
        | c1_1(X4) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f698,plain,
    ( ! [X4] :
        ( ~ c0_1(X4)
        | ~ c3_1(X4)
        | c1_1(X4) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f699,plain,
    ( spl0_27
    | ~ spl0_33
    | spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f318,f697,f518,f554,f526]) ).

fof(f700,plain,
    ( ~ spl0_19
    | spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f317,f697,f518,f491]) ).

fof(f707,definition,
    ( spl0_66
  <=> c2_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f710,plain,
    ( ~ spl0_66
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f314,f505,f707]) ).

fof(f712,definition,
    ( spl0_67
  <=> c1_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f715,plain,
    ( spl0_67
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f75,f505,f712]) ).

fof(f717,definition,
    ( spl0_68
  <=> c0_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f719,plain,
    ( ~ c0_1(a367)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f720,plain,
    ( ~ spl0_68
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f313,f505,f717]) ).

fof(f739,definition,
    ( spl0_72
  <=> c3_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f741,plain,
    ( ~ c3_1(a301)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f742,plain,
    ( ~ spl0_72
    | spl0_36 ),
    inference(avatar_split_clause,[],[f308,f566,f739]) ).

fof(f744,definition,
    ( spl0_73
  <=> c2_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f747,plain,
    ( ~ spl0_73
    | spl0_36 ),
    inference(avatar_split_clause,[],[f307,f566,f744]) ).

fof(f749,definition,
    ( spl0_74
  <=> c0_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f751,plain,
    ( ~ c0_1(a301)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f752,plain,
    ( ~ spl0_74
    | spl0_36 ),
    inference(avatar_split_clause,[],[f306,f566,f749]) ).

fof(f755,definition,
    ( spl0_75
  <=> c3_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f757,plain,
    ( ~ c3_1(a296)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f758,plain,
    ( ~ spl0_75
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f304,f526,f755]) ).

fof(f760,definition,
    ( spl0_76
  <=> c2_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f762,plain,
    ( ~ c2_1(a296)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f763,plain,
    ( ~ spl0_76
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f303,f526,f760]) ).

fof(f765,definition,
    ( spl0_77
  <=> c1_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f768,plain,
    ( spl0_77
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f88,f526,f765]) ).

fof(f771,definition,
    ( spl0_78
  <=> c2_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f774,plain,
    ( spl0_78
    | spl0_21 ),
    inference(avatar_split_clause,[],[f301,f501,f771]) ).

fof(f776,definition,
    ( spl0_79
  <=> c0_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f778,plain,
    ( c0_1(a368)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f779,plain,
    ( spl0_79
    | spl0_21 ),
    inference(avatar_split_clause,[],[f300,f501,f776]) ).

fof(f781,definition,
    ( spl0_80
  <=> c1_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f784,plain,
    ( spl0_80
    | spl0_21 ),
    inference(avatar_split_clause,[],[f299,f501,f781]) ).

fof(f787,definition,
    ( spl0_81
  <=> c3_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f790,plain,
    ( spl0_81
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f297,f415,f787]) ).

fof(f792,definition,
    ( spl0_82
  <=> c1_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f795,plain,
    ( ~ spl0_82
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f95,f415,f792]) ).

fof(f797,definition,
    ( spl0_83
  <=> c0_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f799,plain,
    ( c0_1(a359)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f800,plain,
    ( spl0_83
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f296,f415,f797]) ).

fof(f803,definition,
    ( spl0_84
  <=> c1_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f806,plain,
    ( ~ spl0_84
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f98,f510,f803]) ).

fof(f808,definition,
    ( spl0_85
  <=> c0_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f810,plain,
    ( c0_1(a353)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f811,plain,
    ( spl0_85
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f294,f510,f808]) ).

fof(f813,definition,
    ( spl0_86
  <=> c3_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ c3_1(a353)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f816,plain,
    ( ~ spl0_86
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f293,f510,f813]) ).

fof(f819,definition,
    ( spl0_87
  <=> c3_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f822,plain,
    ( spl0_87
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f291,f432,f819]) ).

fof(f824,definition,
    ( spl0_88
  <=> c0_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f826,plain,
    ( c0_1(a341)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f827,plain,
    ( spl0_88
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f290,f432,f824]) ).

fof(f829,definition,
    ( spl0_89
  <=> c1_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f832,plain,
    ( spl0_89
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f104,f432,f829]) ).

fof(f835,definition,
    ( spl0_90
  <=> c2_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f838,plain,
    ( spl0_90
    | spl0_9 ),
    inference(avatar_split_clause,[],[f288,f445,f835]) ).

fof(f840,definition,
    ( spl0_91
  <=> c3_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f842,plain,
    ( ~ c3_1(a337)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f843,plain,
    ( ~ spl0_91
    | spl0_9 ),
    inference(avatar_split_clause,[],[f287,f445,f840]) ).

fof(f845,definition,
    ( spl0_92
  <=> c1_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f848,plain,
    ( spl0_92
    | spl0_9 ),
    inference(avatar_split_clause,[],[f286,f445,f845]) ).

fof(f849,plain,
    ( ~ spl0_25
    | spl0_9 ),
    inference(avatar_split_clause,[],[f285,f445,f518]) ).

fof(f851,definition,
    ( spl0_93
  <=> c3_1(a331) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f853,plain,
    ( c3_1(a331)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( spl0_93
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f284,f450,f851]) ).

fof(f856,definition,
    ( spl0_94
  <=> c2_1(a331) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f859,plain,
    ( spl0_94
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f283,f450,f856]) ).

fof(f861,definition,
    ( spl0_95
  <=> c1_1(a331) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f864,plain,
    ( ~ spl0_95
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f112,f450,f861]) ).

fof(f867,definition,
    ( spl0_96
  <=> c2_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f870,plain,
    ( spl0_96
    | spl0_3 ),
    inference(avatar_split_clause,[],[f281,f419,f867]) ).

fof(f872,definition,
    ( spl0_97
  <=> c0_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f874,plain,
    ( c0_1(a330)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f875,plain,
    ( spl0_97
    | spl0_3 ),
    inference(avatar_split_clause,[],[f280,f419,f872]) ).

fof(f877,definition,
    ( spl0_98
  <=> c3_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f880,plain,
    ( ~ spl0_98
    | spl0_3 ),
    inference(avatar_split_clause,[],[f279,f419,f877]) ).

fof(f883,definition,
    ( spl0_99
  <=> c2_1(a329) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f886,plain,
    ( spl0_99
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f277,f424,f883]) ).

fof(f888,definition,
    ( spl0_100
  <=> c1_1(a329) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f891,plain,
    ( ~ spl0_100
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f119,f424,f888]) ).

fof(f893,definition,
    ( spl0_101
  <=> c0_1(a329) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f895,plain,
    ( c0_1(a329)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f896,plain,
    ( spl0_101
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f276,f424,f893]) ).

fof(f899,definition,
    ( spl0_102
  <=> c0_1(a326) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f901,plain,
    ( c0_1(a326)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f902,plain,
    ( spl0_102
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f274,f428,f899]) ).

fof(f904,definition,
    ( spl0_103
  <=> c3_1(a326) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f906,plain,
    ( ~ c3_1(a326)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f907,plain,
    ( ~ spl0_103
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f273,f428,f904]) ).

fof(f909,definition,
    ( spl0_104
  <=> c2_1(a326) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f911,plain,
    ( ~ c2_1(a326)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f912,plain,
    ( ~ spl0_104
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f272,f428,f909]) ).

fof(f915,definition,
    ( spl0_105
  <=> c3_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f918,plain,
    ( spl0_105
    | spl0_16 ),
    inference(avatar_split_clause,[],[f270,f478,f915]) ).

fof(f920,definition,
    ( spl0_106
  <=> c1_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f923,plain,
    ( ~ spl0_106
    | spl0_16 ),
    inference(avatar_split_clause,[],[f269,f478,f920]) ).

fof(f925,definition,
    ( spl0_107
  <=> c0_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f927,plain,
    ( ~ c0_1(a325)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f928,plain,
    ( ~ spl0_107
    | spl0_16 ),
    inference(avatar_split_clause,[],[f268,f478,f925]) ).

fof(f931,definition,
    ( spl0_108
  <=> c3_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f934,plain,
    ( spl0_108
    | spl0_1 ),
    inference(avatar_split_clause,[],[f266,f411,f931]) ).

fof(f936,definition,
    ( spl0_109
  <=> c2_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f939,plain,
    ( spl0_109
    | spl0_1 ),
    inference(avatar_split_clause,[],[f265,f411,f936]) ).

fof(f941,definition,
    ( spl0_110
  <=> c0_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f943,plain,
    ( c0_1(a323)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f944,plain,
    ( spl0_110
    | spl0_1 ),
    inference(avatar_split_clause,[],[f264,f411,f941]) ).

fof(f945,plain,
    ( ~ spl0_25
    | spl0_1 ),
    inference(avatar_split_clause,[],[f263,f411,f518]) ).

fof(f947,definition,
    ( spl0_111
  <=> c3_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f949,plain,
    ( c3_1(a315)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f950,plain,
    ( spl0_111
    | spl0_11 ),
    inference(avatar_split_clause,[],[f262,f454,f947]) ).

fof(f952,definition,
    ( spl0_112
  <=> c0_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f954,plain,
    ( c0_1(a315)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f955,plain,
    ( spl0_112
    | spl0_11 ),
    inference(avatar_split_clause,[],[f261,f454,f952]) ).

fof(f957,definition,
    ( spl0_113
  <=> c2_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f959,plain,
    ( ~ c2_1(a315)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f960,plain,
    ( ~ spl0_113
    | spl0_11 ),
    inference(avatar_split_clause,[],[f260,f454,f957]) ).

fof(f963,definition,
    ( spl0_114
  <=> c3_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f965,plain,
    ( c3_1(a311)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f966,plain,
    ( spl0_114
    | spl0_37 ),
    inference(avatar_split_clause,[],[f258,f570,f963]) ).

fof(f968,definition,
    ( spl0_115
  <=> c1_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f971,plain,
    ( spl0_115
    | spl0_37 ),
    inference(avatar_split_clause,[],[f257,f570,f968]) ).

fof(f973,definition,
    ( spl0_116
  <=> c0_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f975,plain,
    ( ~ c0_1(a311)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f976,plain,
    ( ~ spl0_116
    | spl0_37 ),
    inference(avatar_split_clause,[],[f256,f570,f973]) ).

fof(f995,definition,
    ( spl0_120
  <=> c2_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f998,plain,
    ( spl0_120
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f250,f463,f995]) ).

fof(f1000,definition,
    ( spl0_121
  <=> c1_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1003,plain,
    ( ~ spl0_121
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f147,f463,f1000]) ).

fof(f1005,definition,
    ( spl0_122
  <=> c0_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1007,plain,
    ( ~ c0_1(a308)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1008,plain,
    ( ~ spl0_122
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f249,f463,f1005]) ).

fof(f1011,definition,
    ( spl0_123
  <=> c3_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f1013,plain,
    ( c3_1(a307)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f1014,plain,
    ( spl0_123
    | spl0_8 ),
    inference(avatar_split_clause,[],[f247,f441,f1011]) ).

fof(f1016,definition,
    ( spl0_124
  <=> c1_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f1019,plain,
    ( ~ spl0_124
    | spl0_8 ),
    inference(avatar_split_clause,[],[f246,f441,f1016]) ).

fof(f1021,definition,
    ( spl0_125
  <=> c2_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1024,plain,
    ( ~ spl0_125
    | spl0_8 ),
    inference(avatar_split_clause,[],[f245,f441,f1021]) ).

fof(f1027,definition,
    ( spl0_126
  <=> c0_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1029,plain,
    ( c0_1(a306)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f1030,plain,
    ( spl0_126
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f243,f514,f1027]) ).

fof(f1032,definition,
    ( spl0_127
  <=> c3_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1034,plain,
    ( ~ c3_1(a306)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1035,plain,
    ( ~ spl0_127
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f242,f514,f1032]) ).

fof(f1037,definition,
    ( spl0_128
  <=> c1_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1040,plain,
    ( spl0_128
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f156,f514,f1037]) ).

fof(f1059,definition,
    ( spl0_132
  <=> c2_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1062,plain,
    ( spl0_132
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f237,f496,f1059]) ).

fof(f1064,definition,
    ( spl0_133
  <=> c1_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1067,plain,
    ( spl0_133
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f163,f496,f1064]) ).

fof(f1069,definition,
    ( spl0_134
  <=> c0_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1071,plain,
    ( ~ c0_1(a304)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f1069]) ).

fof(f1072,plain,
    ( ~ spl0_134
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f236,f496,f1069]) ).

fof(f1075,definition,
    ( spl0_135
  <=> c1_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1078,plain,
    ( ~ spl0_135
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f166,f482,f1075]) ).

fof(f1080,definition,
    ( spl0_136
  <=> c3_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1082,plain,
    ( ~ c3_1(a300)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1080]) ).

fof(f1083,plain,
    ( ~ spl0_136
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f234,f482,f1080]) ).

fof(f1085,definition,
    ( spl0_137
  <=> c0_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1087,plain,
    ( ~ c0_1(a300)
    | spl0_137 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f1088,plain,
    ( ~ spl0_137
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f233,f482,f1085]) ).

fof(f1091,definition,
    ( spl0_138
  <=> c2_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1094,plain,
    ( spl0_138
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f231,f472,f1091]) ).

fof(f1096,definition,
    ( spl0_139
  <=> c3_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1099,plain,
    ( ~ spl0_139
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f230,f472,f1096]) ).

fof(f1101,definition,
    ( spl0_140
  <=> c0_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1103,plain,
    ( ~ c0_1(a299)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f1104,plain,
    ( ~ spl0_140
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f229,f472,f1101]) ).

fof(f1123,definition,
    ( spl0_144
  <=> c0_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1124,plain,
    ( ~ c0_1(a297)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1123]) ).

fof(f1125,plain,
    ( c0_1(a297)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f1123]) ).

fof(f1126,plain,
    ( spl0_144
    | spl0_12 ),
    inference(avatar_split_clause,[],[f224,f458,f1123]) ).

fof(f1128,definition,
    ( spl0_145
  <=> c2_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1130,plain,
    ( ~ c2_1(a297)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1131,plain,
    ( ~ spl0_145
    | spl0_12 ),
    inference(avatar_split_clause,[],[f223,f458,f1128]) ).

fof(f1133,definition,
    ( spl0_146
  <=> c1_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1136,plain,
    ( spl0_146
    | spl0_12 ),
    inference(avatar_split_clause,[],[f222,f458,f1133]) ).

fof(f1139,definition,
    ( spl0_147
  <=> c3_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1142,plain,
    ( spl0_147
    | spl0_33 ),
    inference(avatar_split_clause,[],[f220,f554,f1139]) ).

fof(f1144,definition,
    ( spl0_148
  <=> c2_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1147,plain,
    ( spl0_148
    | spl0_33 ),
    inference(avatar_split_clause,[],[f219,f554,f1144]) ).

fof(f1149,definition,
    ( spl0_149
  <=> c0_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1151,plain,
    ( ~ c0_1(a295)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f1149]) ).

fof(f1152,plain,
    ( ~ spl0_149
    | spl0_33 ),
    inference(avatar_split_clause,[],[f218,f554,f1149]) ).

fof(f1155,definition,
    ( spl0_150
  <=> c1_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1158,plain,
    ( ~ spl0_150
    | spl0_19 ),
    inference(avatar_split_clause,[],[f216,f491,f1155]) ).

fof(f1160,definition,
    ( spl0_151
  <=> c2_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1163,plain,
    ( ~ spl0_151
    | spl0_19 ),
    inference(avatar_split_clause,[],[f215,f491,f1160]) ).

fof(f1165,definition,
    ( spl0_152
  <=> c0_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1167,plain,
    ( ~ c0_1(a294)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f1165]) ).

fof(f1168,plain,
    ( ~ spl0_152
    | spl0_19 ),
    inference(avatar_split_clause,[],[f214,f491,f1165]) ).

fof(f1169,plain,
    ( ~ spl0_25
    | spl0_19 ),
    inference(avatar_split_clause,[],[f213,f491,f518]) ).

fof(f1171,definition,
    ( spl0_153
  <=> c2_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1174,plain,
    ( spl0_153
    | spl0_7 ),
    inference(avatar_split_clause,[],[f212,f437,f1171]) ).

fof(f1176,definition,
    ( spl0_154
  <=> c1_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1179,plain,
    ( ~ spl0_154
    | spl0_7 ),
    inference(avatar_split_clause,[],[f211,f437,f1176]) ).

fof(f1181,definition,
    ( spl0_155
  <=> c3_1(a293) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1183,plain,
    ( ~ c3_1(a293)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f1181]) ).

fof(f1184,plain,
    ( ~ spl0_155
    | spl0_7 ),
    inference(avatar_split_clause,[],[f210,f437,f1181]) ).

fof(f1187,definition,
    ( spl0_156
  <=> c1_1(a292) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1190,plain,
    ( ~ spl0_156
    | spl0_14 ),
    inference(avatar_split_clause,[],[f208,f468,f1187]) ).

fof(f1192,definition,
    ( spl0_157
  <=> c3_1(a292) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1194,plain,
    ( ~ c3_1(a292)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1192]) ).

fof(f1195,plain,
    ( ~ spl0_157
    | spl0_14 ),
    inference(avatar_split_clause,[],[f207,f468,f1192]) ).

fof(f1197,definition,
    ( spl0_158
  <=> c2_1(a292) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1200,plain,
    ( ~ spl0_158
    | spl0_14 ),
    inference(avatar_split_clause,[],[f206,f468,f1197]) ).

fof(f1203,definition,
    ( spl0_159
  <=> c3_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1205,plain,
    ( c3_1(a291)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1203]) ).

fof(f1206,plain,
    ( spl0_159
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f204,f487,f1203]) ).

fof(f1208,definition,
    ( spl0_160
  <=> c2_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1211,plain,
    ( spl0_160
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f203,f487,f1208]) ).

fof(f1213,definition,
    ( spl0_161
  <=> c1_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1216,plain,
    ( spl0_161
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f200,f487,f1213]) ).

fof(f1217,plain,
    ( ~ spl0_25
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f202,f487,f518]) ).

fof(f1218,plain,
    ( c3_1(a294)
    | c2_1(a294)
    | ~ spl0_26
    | spl0_152 ),
    inference(resolution,[],[f523,f1167]) ).

fof(f1223,plain,
    ( c3_1(a300)
    | c2_1(a300)
    | ~ spl0_26
    | spl0_137 ),
    inference(resolution,[],[f523,f1087]) ).

fof(f1236,plain,
    ( c3_1(a301)
    | c2_1(a301)
    | ~ spl0_26
    | spl0_74 ),
    inference(resolution,[],[f523,f751]) ).

fof(f1261,definition,
    ( spl0_166
  <=> c2_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1266,definition,
    ( spl0_167
  <=> c2_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1278,definition,
    ( spl0_169
  <=> c2_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1284,definition,
    ( spl0_170
  <=> c3_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1285,plain,
    ( ~ c3_1(a308)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1284]) ).

fof(f1289,definition,
    ( spl0_171
  <=> c2_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1294,definition,
    ( spl0_172
  <=> c3_1(a304) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1299,definition,
    ( spl0_173
  <=> c2_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1302,plain,
    ( spl0_173
    | spl0_136
    | ~ spl0_26
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1223,f1085,f522,f1080,f1299]) ).

fof(f1310,definition,
    ( spl0_175
  <=> c3_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1311,plain,
    ( ~ c3_1(a297)
    | spl0_175 ),
    inference(avatar_component_clause,[],[f1310]) ).

fof(f1312,plain,
    ( c3_1(a297)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1310]) ).

fof(f1316,definition,
    ( spl0_176
  <=> c3_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1317,plain,
    ( ~ c3_1(a294)
    | spl0_176 ),
    inference(avatar_component_clause,[],[f1316]) ).

fof(f1318,plain,
    ( c3_1(a294)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1316]) ).

fof(f1319,plain,
    ( spl0_151
    | spl0_176
    | ~ spl0_26
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1218,f1165,f522,f1316,f1160]) ).

fof(f1324,plain,
    ( c3_1(a299)
    | ~ c1_1(a299)
    | ~ spl0_28
    | spl0_140 ),
    inference(resolution,[],[f531,f1103]) ).

fof(f1326,plain,
    ( c3_1(a304)
    | ~ c1_1(a304)
    | ~ spl0_28
    | spl0_134 ),
    inference(resolution,[],[f531,f1071]) ).

fof(f1342,definition,
    ( spl0_177
  <=> c1_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1352,definition,
    ( spl0_179
  <=> c1_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1362,definition,
    ( spl0_181
  <=> c1_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1371,plain,
    ( c2_1(a294)
    | ~ c3_1(a294)
    | ~ spl0_30
    | spl0_152 ),
    inference(resolution,[],[f541,f1167]) ).

fof(f1401,plain,
    ( ~ c1_1(a311)
    | ~ c3_1(a311)
    | ~ spl0_31
    | spl0_116 ),
    inference(resolution,[],[f546,f975]) ).

fof(f1451,plain,
    ( c3_1(a294)
    | c1_1(a294)
    | ~ spl0_38
    | spl0_152 ),
    inference(resolution,[],[f575,f1167]) ).

fof(f1455,plain,
    ( c3_1(a299)
    | c1_1(a299)
    | ~ spl0_38
    | spl0_140 ),
    inference(resolution,[],[f575,f1103]) ).

fof(f1456,plain,
    ( c3_1(a300)
    | c1_1(a300)
    | ~ spl0_38
    | spl0_137 ),
    inference(resolution,[],[f575,f1087]) ).

fof(f1484,plain,
    ( spl0_135
    | spl0_136
    | ~ spl0_38
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1456,f1085,f574,f1080,f1075]) ).

fof(f1489,plain,
    ( spl0_150
    | spl0_176
    | ~ spl0_38
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1451,f1165,f574,f1316,f1155]) ).

fof(f1490,plain,
    ( c2_1(a294)
    | c1_1(a294)
    | ~ spl0_39
    | spl0_152 ),
    inference(resolution,[],[f580,f1167]) ).

fof(f1492,plain,
    ( c2_1(a297)
    | c1_1(a297)
    | ~ spl0_39
    | spl0_144 ),
    inference(resolution,[],[f580,f1124]) ).

fof(f1495,plain,
    ( c2_1(a300)
    | c1_1(a300)
    | ~ spl0_39
    | spl0_137 ),
    inference(resolution,[],[f580,f1087]) ).

fof(f1507,plain,
    ( c2_1(a301)
    | c1_1(a301)
    | ~ spl0_39
    | spl0_74 ),
    inference(resolution,[],[f580,f751]) ).

fof(f1526,plain,
    ( spl0_146
    | spl0_145
    | ~ spl0_39
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1492,f1123,f579,f1128,f1133]) ).

fof(f1531,plain,
    ( c1_1(a294)
    | ~ c3_1(a294)
    | ~ spl0_42
    | spl0_152 ),
    inference(resolution,[],[f595,f1167]) ).

fof(f1542,plain,
    ( c1_1(a325)
    | ~ c3_1(a325)
    | ~ spl0_42
    | spl0_107 ),
    inference(resolution,[],[f595,f927]) ).

fof(f1552,plain,
    ( c1_1(a293)
    | ~ c2_1(a293)
    | ~ spl0_44
    | spl0_155 ),
    inference(resolution,[],[f603,f1183]) ).

fof(f1557,plain,
    ( c1_1(a300)
    | ~ c2_1(a300)
    | ~ spl0_44
    | spl0_136 ),
    inference(resolution,[],[f603,f1082]) ).

fof(f1561,plain,
    ( c1_1(a308)
    | ~ c2_1(a308)
    | ~ spl0_44
    | spl0_170 ),
    inference(resolution,[],[f603,f1285]) ).

fof(f1583,plain,
    ( c3_1(a299)
    | ~ c2_1(a299)
    | ~ spl0_32
    | spl0_140 ),
    inference(resolution,[],[f550,f1103]) ).

fof(f1584,plain,
    ( c3_1(a300)
    | ~ c2_1(a300)
    | ~ spl0_32
    | spl0_137 ),
    inference(resolution,[],[f550,f1087]) ).

fof(f1585,plain,
    ( c3_1(a304)
    | ~ c2_1(a304)
    | ~ spl0_32
    | spl0_134 ),
    inference(resolution,[],[f550,f1071]) ).

fof(f1614,definition,
    ( spl0_183
  <=> c1_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1620,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(resolution,[],[f626,f550]) ).

fof(f1625,plain,
    ( c3_1(a326)
    | ~ c1_1(a326)
    | ~ spl0_49
    | ~ spl0_102 ),
    inference(resolution,[],[f626,f901]) ).

fof(f1630,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1620]) ).

fof(f1632,definition,
    ( spl0_184
  <=> c1_1(a326) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1635,plain,
    ( ~ spl0_184
    | spl0_103
    | ~ spl0_49
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1625,f899,f625,f904,f1632]) ).

fof(f1636,plain,
    ( spl0_59
    | ~ spl0_32
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1630,f625,f549,f678]) ).

fof(f1650,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(resolution,[],[f639,f541]) ).

fof(f1651,plain,
    ( c2_1(a315)
    | ~ c3_1(a315)
    | ~ spl0_51
    | ~ spl0_112 ),
    inference(resolution,[],[f639,f954]) ).

fof(f1657,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1650]) ).

fof(f1659,plain,
    ( ~ spl0_111
    | spl0_113
    | ~ spl0_51
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1651,f952,f638,f957,f947]) ).

fof(f1660,plain,
    ( ~ spl0_120
    | spl0_121
    | ~ spl0_44
    | spl0_170 ),
    inference(avatar_split_clause,[],[f1561,f1284,f602,f1000,f995]) ).

fof(f1663,plain,
    ( c2_1(a297)
    | ~ c1_1(a297)
    | ~ spl0_50
    | ~ spl0_144 ),
    inference(resolution,[],[f1125,f633]) ).

fof(f1664,plain,
    ( c3_1(a297)
    | ~ c1_1(a297)
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(resolution,[],[f1125,f626]) ).

fof(f1669,plain,
    ( spl0_135
    | spl0_173
    | ~ spl0_39
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1495,f1085,f579,f1299,f1075]) ).

fof(f1675,plain,
    ( spl0_177
    | spl0_73
    | ~ spl0_39
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1507,f749,f579,f744,f1342]) ).

fof(f1687,plain,
    ( ~ spl0_153
    | spl0_154
    | ~ spl0_44
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1552,f1181,f602,f1176,f1171]) ).

fof(f1711,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(resolution,[],[f536,f633]) ).

fof(f1717,plain,
    ( c2_1(a311)
    | ~ c1_1(a311)
    | ~ spl0_29
    | spl0_116 ),
    inference(resolution,[],[f536,f975]) ).

fof(f1721,plain,
    ( c2_1(a301)
    | ~ c1_1(a301)
    | ~ spl0_29
    | spl0_74 ),
    inference(resolution,[],[f536,f751]) ).

fof(f1722,plain,
    ( c2_1(a367)
    | ~ c1_1(a367)
    | ~ spl0_29
    | spl0_68 ),
    inference(resolution,[],[f536,f719]) ).

fof(f1724,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_29
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1711]) ).

fof(f1725,plain,
    ( ~ spl0_67
    | spl0_66
    | ~ spl0_29
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1722,f717,f535,f707,f712]) ).

fof(f1726,plain,
    ( ~ spl0_177
    | spl0_73
    | ~ spl0_29
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1721,f749,f535,f744,f1342]) ).

fof(f1728,plain,
    ( ~ spl0_115
    | spl0_169
    | ~ spl0_29
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1717,f973,f535,f1278,f968]) ).

fof(f1746,plain,
    ( ~ c1_1(a299)
    | ~ c2_1(a299)
    | ~ spl0_34
    | spl0_140 ),
    inference(resolution,[],[f559,f1103]) ).

fof(f1759,plain,
    ( c2_1(a307)
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_123 ),
    inference(resolution,[],[f1657,f1013]) ).

fof(f1766,plain,
    ( spl0_125
    | ~ spl0_30
    | ~ spl0_51
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1759,f1011,f638,f540,f1021]) ).

fof(f1782,plain,
    ( c2_1(a307)
    | c1_1(a307)
    | ~ spl0_41
    | ~ spl0_123 ),
    inference(resolution,[],[f591,f1013]) ).

fof(f1783,plain,
    ( c2_1(a315)
    | c1_1(a315)
    | ~ spl0_41
    | ~ spl0_111 ),
    inference(resolution,[],[f591,f949]) ).

fof(f1789,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_41
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1782,f1011,f590,f1021,f1016]) ).

fof(f1819,plain,
    ( ~ c1_1(a296)
    | c2_1(a296)
    | ~ spl0_45
    | spl0_75 ),
    inference(resolution,[],[f607,f757]) ).

fof(f1838,plain,
    ( c2_1(a297)
    | ~ c3_1(a297)
    | ~ spl0_51
    | ~ spl0_144 ),
    inference(resolution,[],[f639,f1125]) ).

fof(f1847,plain,
    ( c2_1(a341)
    | ~ c3_1(a341)
    | ~ spl0_51
    | ~ spl0_88 ),
    inference(resolution,[],[f639,f826]) ).

fof(f1859,plain,
    ( c3_1(a306)
    | ~ c1_1(a306)
    | ~ spl0_49
    | ~ spl0_126 ),
    inference(resolution,[],[f1029,f626]) ).

fof(f1866,plain,
    ( ~ c1_1(a304)
    | ~ c2_1(a304)
    | ~ spl0_34
    | spl0_134 ),
    inference(resolution,[],[f1071,f559]) ).

fof(f1867,plain,
    ( ~ c1_1(a304)
    | ~ c3_1(a304)
    | ~ spl0_31
    | spl0_134 ),
    inference(resolution,[],[f1071,f546]) ).

fof(f1872,plain,
    ( c2_1(a297)
    | ~ c1_1(a297)
    | ~ spl0_40
    | ~ spl0_175 ),
    inference(resolution,[],[f1312,f585]) ).

fof(f1873,plain,
    ( ~ spl0_146
    | spl0_145
    | ~ spl0_40
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1872,f1310,f584,f1128,f1133]) ).

fof(f1880,plain,
    ( c2_1(a311)
    | ~ c3_1(a311)
    | ~ spl0_30
    | spl0_116 ),
    inference(resolution,[],[f541,f975]) ).

fof(f1884,plain,
    ( ~ c2_1(a295)
    | ~ c3_1(a295)
    | ~ spl0_46
    | spl0_149 ),
    inference(resolution,[],[f613,f1151]) ).

fof(f1888,plain,
    ( ~ c2_1(a304)
    | ~ c3_1(a304)
    | ~ spl0_46
    | spl0_134 ),
    inference(resolution,[],[f613,f1071]) ).

fof(f1889,plain,
    ( ~ c2_1(a308)
    | ~ c3_1(a308)
    | ~ spl0_46
    | spl0_122 ),
    inference(resolution,[],[f613,f1007]) ).

fof(f1890,plain,
    ( ~ c2_1(a311)
    | ~ c3_1(a311)
    | ~ spl0_46
    | spl0_116 ),
    inference(resolution,[],[f613,f975]) ).

fof(f1899,plain,
    ( c1_1(a331)
    | ~ c2_1(a331)
    | ~ spl0_48
    | ~ spl0_93 ),
    inference(resolution,[],[f621,f853]) ).

fof(f1915,plain,
    ( ~ c1_1(a323)
    | ~ c3_1(a323)
    | ~ spl0_53
    | ~ spl0_110 ),
    inference(resolution,[],[f651,f943]) ).

fof(f1920,plain,
    ( ~ c1_1(a341)
    | ~ c3_1(a341)
    | ~ spl0_53
    | ~ spl0_88 ),
    inference(resolution,[],[f651,f826]) ).

fof(f1929,plain,
    ( ~ spl0_87
    | ~ spl0_89
    | ~ spl0_53
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1920,f824,f650,f829,f819]) ).

fof(f1930,plain,
    ( ~ spl0_108
    | ~ spl0_183
    | ~ spl0_53
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1915,f941,f650,f1614,f931]) ).

fof(f1935,plain,
    ( c1_1(a294)
    | c2_1(a294)
    | ~ spl0_35
    | spl0_176 ),
    inference(resolution,[],[f563,f1317]) ).

fof(f1937,plain,
    ( c1_1(a297)
    | c2_1(a297)
    | ~ spl0_35
    | spl0_175 ),
    inference(resolution,[],[f563,f1311]) ).

fof(f1950,plain,
    ( c1_1(a353)
    | c2_1(a353)
    | ~ spl0_35
    | spl0_86 ),
    inference(resolution,[],[f563,f815]) ).

fof(f1959,plain,
    ( spl0_166
    | spl0_84
    | ~ spl0_35
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1950,f813,f562,f803,f1261]) ).

fof(f1963,plain,
    ( spl0_151
    | spl0_150
    | ~ spl0_35
    | spl0_176 ),
    inference(avatar_split_clause,[],[f1935,f1316,f562,f1155,f1160]) ).

fof(f1978,plain,
    ( c3_1(a297)
    | c2_1(a297)
    | ~ spl0_54
    | ~ spl0_144 ),
    inference(resolution,[],[f656,f1125]) ).

fof(f1979,plain,
    ( c3_1(a306)
    | c2_1(a306)
    | ~ spl0_54
    | ~ spl0_126 ),
    inference(resolution,[],[f656,f1029]) ).

fof(f1984,plain,
    ( c3_1(a326)
    | c2_1(a326)
    | ~ spl0_54
    | ~ spl0_102 ),
    inference(resolution,[],[f656,f901]) ).

fof(f2030,plain,
    ( spl0_73
    | spl0_72
    | ~ spl0_26
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1236,f749,f522,f739,f744]) ).

fof(f2032,plain,
    ( ~ spl0_128
    | spl0_127
    | ~ spl0_49
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1859,f1027,f625,f1032,f1037]) ).

fof(f2033,plain,
    ( ~ spl0_146
    | spl0_175
    | ~ spl0_49
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1664,f1123,f625,f1310,f1133]) ).

fof(f2035,plain,
    ( ~ spl0_146
    | spl0_145
    | ~ spl0_50
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1663,f1123,f632,f1128,f1133]) ).

fof(f2038,plain,
    ( ~ spl0_170
    | ~ spl0_120
    | ~ spl0_46
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1889,f1005,f612,f995,f1284]) ).

fof(f2048,plain,
    ( c2_1(a311)
    | ~ c1_1(a311)
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(resolution,[],[f965,f585]) ).

fof(f2049,plain,
    ( ~ spl0_115
    | spl0_169
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2048,f963,f584,f1278,f968]) ).

fof(f2054,plain,
    ( spl0_76
    | ~ spl0_77
    | ~ spl0_45
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1819,f755,f606,f765,f760]) ).

fof(f2124,plain,
    ( ~ c1_1(a315)
    | ~ c3_1(a315)
    | ~ spl0_53
    | ~ spl0_112 ),
    inference(resolution,[],[f651,f954]) ).

fof(f2142,plain,
    ( c3_1(a329)
    | ~ c2_1(a329)
    | ~ spl0_56
    | ~ spl0_101 ),
    inference(resolution,[],[f664,f895]) ).

fof(f2143,plain,
    ( c3_1(a330)
    | ~ c2_1(a330)
    | ~ spl0_56
    | ~ spl0_97 ),
    inference(resolution,[],[f664,f874]) ).

fof(f2145,plain,
    ( c3_1(a353)
    | ~ c2_1(a353)
    | ~ spl0_56
    | ~ spl0_85 ),
    inference(resolution,[],[f664,f810]) ).

fof(f2151,plain,
    ( ~ spl0_166
    | spl0_86
    | ~ spl0_56
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f2145,f808,f663,f813,f1261]) ).

fof(f2152,plain,
    ( ~ spl0_96
    | spl0_98
    | ~ spl0_56
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2143,f872,f663,f877,f867]) ).

fof(f2154,definition,
    ( spl0_185
  <=> c3_1(a329) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f2155,plain,
    ( ~ c3_1(a329)
    | spl0_185 ),
    inference(avatar_component_clause,[],[f2154]) ).

fof(f2157,plain,
    ( ~ spl0_99
    | spl0_185
    | ~ spl0_56
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2142,f893,f663,f2154,f883]) ).

fof(f2163,plain,
    ( c1_1(a292)
    | c2_1(a292)
    | ~ spl0_35
    | spl0_157 ),
    inference(resolution,[],[f563,f1194]) ).

fof(f2166,plain,
    ( c1_1(a300)
    | c2_1(a300)
    | ~ spl0_35
    | spl0_136 ),
    inference(resolution,[],[f563,f1082]) ).

fof(f2171,plain,
    ( c1_1(a326)
    | c2_1(a326)
    | ~ spl0_35
    | spl0_103 ),
    inference(resolution,[],[f563,f906]) ).

fof(f2189,plain,
    ( ~ c1_1(a341)
    | ~ c2_1(a341)
    | ~ spl0_58
    | ~ spl0_88 ),
    inference(resolution,[],[f673,f826]) ).

fof(f2192,plain,
    ( ~ c1_1(a368)
    | ~ c2_1(a368)
    | ~ spl0_58
    | ~ spl0_79 ),
    inference(resolution,[],[f673,f778]) ).

fof(f2200,plain,
    ( ~ c2_1(a306)
    | ~ c1_1(a306)
    | ~ spl0_59
    | spl0_127 ),
    inference(resolution,[],[f679,f1034]) ).

fof(f2205,plain,
    ( ~ c2_1(a337)
    | ~ c1_1(a337)
    | ~ spl0_59
    | spl0_91 ),
    inference(resolution,[],[f679,f842]) ).

fof(f2215,plain,
    ( ~ c1_1(a291)
    | ~ c2_1(a291)
    | ~ spl0_61
    | ~ spl0_159 ),
    inference(resolution,[],[f686,f1205]) ).

fof(f2222,plain,
    ( ~ c1_1(a311)
    | ~ c2_1(a311)
    | ~ spl0_61
    | ~ spl0_114 ),
    inference(resolution,[],[f686,f965]) ).

fof(f2253,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_46
    | ~ spl0_64 ),
    inference(resolution,[],[f698,f613]) ).

fof(f2254,plain,
    ( ~ c3_1(a297)
    | c1_1(a297)
    | ~ spl0_64
    | ~ spl0_144 ),
    inference(resolution,[],[f698,f1125]) ).

fof(f2257,plain,
    ( ~ c3_1(a315)
    | c1_1(a315)
    | ~ spl0_64
    | ~ spl0_112 ),
    inference(resolution,[],[f698,f954]) ).

fof(f2258,plain,
    ( ~ c3_1(a323)
    | c1_1(a323)
    | ~ spl0_64
    | ~ spl0_110 ),
    inference(resolution,[],[f698,f943]) ).

fof(f2260,plain,
    ( ~ c3_1(a329)
    | c1_1(a329)
    | ~ spl0_64
    | ~ spl0_101 ),
    inference(resolution,[],[f698,f895]) ).

fof(f2264,plain,
    ( ~ c3_1(a359)
    | c1_1(a359)
    | ~ spl0_64
    | ~ spl0_83 ),
    inference(resolution,[],[f698,f799]) ).

fof(f2266,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_46
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f2253]) ).

fof(f2267,plain,
    ( spl0_82
    | ~ spl0_81
    | ~ spl0_64
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2264,f797,f697,f787,f792]) ).

fof(f2269,plain,
    ( spl0_183
    | ~ spl0_108
    | ~ spl0_64
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2258,f941,f697,f931,f1614]) ).

fof(f2270,plain,
    ( spl0_179
    | ~ spl0_111
    | ~ spl0_64
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2257,f952,f697,f947,f1352]) ).

fof(f2272,plain,
    ( spl0_146
    | ~ spl0_175
    | ~ spl0_64
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2254,f1123,f697,f1310,f1133]) ).

fof(f2273,plain,
    ( spl0_48
    | ~ spl0_46
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2266,f697,f612,f620]) ).

fof(f2275,plain,
    ( ~ spl0_133
    | spl0_172
    | ~ spl0_28
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1326,f1069,f530,f1294,f1064]) ).

fof(f2276,plain,
    ( ~ spl0_176
    | spl0_151
    | ~ spl0_30
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1371,f1165,f540,f1160,f1316]) ).

fof(f2282,plain,
    ( ~ spl0_114
    | spl0_169
    | ~ spl0_30
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1880,f973,f540,f1278,f963]) ).

fof(f2289,plain,
    ( ~ spl0_138
    | spl0_139
    | ~ spl0_32
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1583,f1101,f549,f1096,f1091]) ).

fof(f2290,plain,
    ( ~ spl0_173
    | spl0_136
    | ~ spl0_32
    | spl0_137 ),
    inference(avatar_split_clause,[],[f1584,f1085,f549,f1080,f1299]) ).

fof(f2291,plain,
    ( ~ spl0_132
    | spl0_172
    | ~ spl0_32
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1585,f1069,f549,f1294,f1059]) ).

fof(f2295,plain,
    ( spl0_150
    | spl0_151
    | ~ spl0_39
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1490,f1165,f579,f1160,f1155]) ).

fof(f2301,plain,
    ( spl0_179
    | spl0_113
    | ~ spl0_41
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1783,f947,f590,f957,f1352]) ).

fof(f2304,plain,
    ( ~ spl0_94
    | spl0_95
    | ~ spl0_48
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1899,f851,f620,f861,f856]) ).

fof(f2307,plain,
    ( ~ spl0_92
    | ~ spl0_90
    | ~ spl0_59
    | spl0_91 ),
    inference(avatar_split_clause,[],[f2205,f840,f678,f835,f845]) ).

fof(f2310,plain,
    ( ~ spl0_111
    | ~ spl0_179
    | ~ spl0_53
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f2124,f952,f650,f1352,f947]) ).

fof(f2311,plain,
    ( ~ spl0_169
    | ~ spl0_115
    | ~ spl0_61
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2222,f963,f685,f968,f1278]) ).

fof(f2312,plain,
    ( ~ spl0_160
    | ~ spl0_161
    | ~ spl0_61
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2215,f1203,f685,f1213,f1208]) ).

fof(f2318,plain,
    ( spl0_145
    | spl0_146
    | ~ spl0_35
    | spl0_175 ),
    inference(avatar_split_clause,[],[f1937,f1310,f562,f1133,f1128]) ).

fof(f2322,plain,
    ( spl0_104
    | spl0_184
    | ~ spl0_35
    | spl0_103 ),
    inference(avatar_split_clause,[],[f2171,f904,f562,f1632,f909]) ).

fof(f2326,plain,
    ( spl0_104
    | spl0_103
    | ~ spl0_54
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1984,f899,f655,f904,f909]) ).

fof(f2327,plain,
    ( ~ spl0_128
    | ~ spl0_171
    | ~ spl0_59
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2200,f1032,f678,f1289,f1037]) ).

fof(f2330,plain,
    ( ~ spl0_78
    | ~ spl0_80
    | ~ spl0_58
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f2192,f776,f672,f781,f771]) ).

fof(f2363,plain,
    ( ~ c1_1(a315)
    | ~ spl0_29
    | ~ spl0_50
    | spl0_113 ),
    inference(resolution,[],[f1724,f959]) ).

fof(f2364,plain,
    ( ~ c1_1(a326)
    | ~ spl0_29
    | ~ spl0_50
    | spl0_104 ),
    inference(resolution,[],[f1724,f911]) ).

fof(f2373,plain,
    ( ~ spl0_184
    | ~ spl0_29
    | ~ spl0_50
    | spl0_104 ),
    inference(avatar_split_clause,[],[f2364,f909,f632,f535,f1632]) ).

fof(f2374,plain,
    ( ~ spl0_179
    | ~ spl0_29
    | ~ spl0_50
    | spl0_113 ),
    inference(avatar_split_clause,[],[f2363,f957,f632,f535,f1352]) ).

fof(f2383,plain,
    ( ~ spl0_167
    | ~ spl0_89
    | ~ spl0_58
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2189,f824,f672,f829,f1266]) ).

fof(f2384,plain,
    ( ~ spl0_181
    | spl0_139
    | ~ spl0_28
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1324,f1101,f530,f1096,f1362]) ).

fof(f2385,plain,
    ( spl0_181
    | spl0_139
    | ~ spl0_38
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1455,f1101,f574,f1096,f1362]) ).

fof(f2399,plain,
    ( ~ spl0_87
    | spl0_167
    | ~ spl0_51
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1847,f824,f638,f1266,f819]) ).

fof(f2400,plain,
    ( spl0_145
    | spl0_175
    | ~ spl0_54
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1978,f1123,f655,f1310,f1128]) ).

fof(f2401,plain,
    ( spl0_171
    | spl0_127
    | ~ spl0_54
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1979,f1027,f655,f1032,f1289]) ).

fof(f2404,plain,
    ( ~ spl0_175
    | spl0_145
    | ~ spl0_51
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1838,f1123,f638,f1128,f1310]) ).

fof(f2425,plain,
    ( c2_1(a294)
    | c1_1(a294)
    | ~ spl0_41
    | ~ spl0_176 ),
    inference(resolution,[],[f591,f1318]) ).

fof(f2440,plain,
    ( spl0_150
    | spl0_151
    | ~ spl0_41
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f2425,f1316,f590,f1160,f1155]) ).

fof(f2443,plain,
    ( spl0_158
    | spl0_156
    | ~ spl0_35
    | spl0_157 ),
    inference(avatar_split_clause,[],[f2163,f1192,f562,f1187,f1197]) ).

fof(f2459,plain,
    ( c1_1(a301)
    | c2_1(a301)
    | ~ spl0_35
    | spl0_72 ),
    inference(resolution,[],[f563,f741]) ).

fof(f2468,plain,
    ( c1_1(a329)
    | ~ c2_1(a329)
    | ~ spl0_44
    | spl0_185 ),
    inference(resolution,[],[f603,f2155]) ).

fof(f2475,plain,
    ( ~ spl0_99
    | spl0_100
    | ~ spl0_44
    | spl0_185 ),
    inference(avatar_split_clause,[],[f2468,f2154,f602,f888,f883]) ).

fof(f2477,plain,
    ( spl0_100
    | ~ spl0_185
    | ~ spl0_64
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f2260,f893,f697,f2154,f888]) ).

fof(f2485,plain,
    ( ~ c1_1(a297)
    | ~ spl0_29
    | ~ spl0_50
    | spl0_145 ),
    inference(resolution,[],[f1724,f1130]) ).

fof(f2488,plain,
    ( ~ c1_1(a296)
    | ~ spl0_29
    | ~ spl0_50
    | spl0_76 ),
    inference(resolution,[],[f1724,f762]) ).

fof(f2491,plain,
    ( ~ spl0_77
    | ~ spl0_29
    | ~ spl0_50
    | spl0_76 ),
    inference(avatar_split_clause,[],[f2488,f760,f632,f535,f765]) ).

fof(f2492,plain,
    ( ~ spl0_146
    | ~ spl0_29
    | ~ spl0_50
    | spl0_145 ),
    inference(avatar_split_clause,[],[f2485,f1128,f632,f535,f1133]) ).

fof(f2550,plain,
    ( ~ c3_1(a323)
    | ~ c2_1(a323)
    | ~ spl0_60
    | ~ spl0_110 ),
    inference(resolution,[],[f682,f943]) ).

fof(f2553,plain,
    ( ~ c3_1(a341)
    | ~ c2_1(a341)
    | ~ spl0_60
    | ~ spl0_88 ),
    inference(resolution,[],[f682,f826]) ).

fof(f2556,plain,
    ( ~ spl0_167
    | ~ spl0_87
    | ~ spl0_60
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2553,f824,f681,f819,f1266]) ).

fof(f2557,plain,
    ( ~ spl0_109
    | ~ spl0_108
    | ~ spl0_60
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2550,f941,f681,f931,f936]) ).

fof(f2562,plain,
    ( ~ spl0_114
    | ~ spl0_115
    | ~ spl0_31
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1401,f973,f545,f968,f963]) ).

fof(f2563,plain,
    ( ~ spl0_172
    | ~ spl0_133
    | ~ spl0_31
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1867,f1069,f545,f1064,f1294]) ).

fof(f2576,plain,
    ( ~ spl0_138
    | ~ spl0_181
    | ~ spl0_34
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1746,f1101,f558,f1362,f1091]) ).

fof(f2578,plain,
    ( ~ spl0_132
    | ~ spl0_133
    | ~ spl0_34
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1866,f1069,f558,f1064,f1059]) ).

fof(f2579,plain,
    ( ~ spl0_176
    | spl0_150
    | ~ spl0_42
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1531,f1165,f594,f1155,f1316]) ).

fof(f2583,plain,
    ( ~ spl0_105
    | spl0_106
    | ~ spl0_42
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1542,f925,f594,f920,f915]) ).

fof(f2592,plain,
    ( ~ spl0_173
    | spl0_135
    | ~ spl0_44
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1557,f1080,f602,f1075,f1299]) ).

fof(f2596,plain,
    ( ~ spl0_147
    | ~ spl0_148
    | ~ spl0_46
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1884,f1149,f612,f1144,f1139]) ).

fof(f2598,plain,
    ( ~ spl0_172
    | ~ spl0_132
    | ~ spl0_46
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1888,f1069,f612,f1059,f1294]) ).

fof(f2599,plain,
    ( ~ spl0_114
    | ~ spl0_169
    | ~ spl0_46
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1890,f973,f612,f1278,f963]) ).

fof(f2607,plain,
    ( spl0_73
    | spl0_177
    | ~ spl0_35
    | spl0_72 ),
    inference(avatar_split_clause,[],[f2459,f739,f562,f1342,f744]) ).

fof(f2609,plain,
    ( spl0_173
    | spl0_135
    | ~ spl0_35
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2166,f1080,f562,f1075,f1299]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s3,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s4,plain,
    ( spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s6,plain,
    ( ~ spl0_11
    | ~ spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s7,plain,
    ( spl0_5
    | ~ spl0_8
    | spl0_15 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s9,plain,
    ( ~ spl0_9
    | spl0_18
    | ~ spl0_19 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s11,plain,
    ( spl0_6
    | ~ spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s14,plain,
    ( spl0_17
    | spl0_25
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s16,plain,
    ( spl0_2
    | ~ spl0_19
    | spl0_25
    | spl0_29 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s17,plain,
    ( spl0_4
    | spl0_25
    | spl0_30 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s18,plain,
    ( ~ spl0_3
    | spl0_23
    | spl0_25
    | spl0_30 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_26
    | spl0_32 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s22,plain,
    ( spl0_25
    | spl0_26
    | ~ spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f560]) ).

cnf(s24,plain,
    ( spl0_25
    | ~ spl0_36
    | ~ spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s26,plain,
    ( ~ spl0_3
    | ~ spl0_11
    | spl0_25
    | spl0_39 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s27,plain,
    ( spl0_6
    | ~ spl0_11
    | spl0_25
    | spl0_39 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s28,plain,
    ( spl0_20
    | spl0_25
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f586]) ).

cnf(s29,plain,
    ( spl0_15
    | spl0_25
    | spl0_31
    | spl0_39 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s30,plain,
    ( ~ spl0_11
    | spl0_25
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s31,plain,
    ( ~ spl0_9
    | spl0_17
    | spl0_25
    | spl0_41 ),
    inference(sat_conversion,[],[f592]) ).

cnf(s34,plain,
    ( spl0_25
    | spl0_40
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s35,plain,
    ( spl0_10
    | spl0_25
    | spl0_30
    | spl0_44 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s36,plain,
    ( ~ spl0_3
    | spl0_25
    | spl0_30
    | spl0_44 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s37,plain,
    ( spl0_4
    | spl0_25
    | spl0_44
    | spl0_46 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s39,plain,
    ( spl0_5
    | ~ spl0_16
    | spl0_25
    | spl0_48 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s40,plain,
    ( ~ spl0_19
    | spl0_25
    | spl0_42
    | spl0_48 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s42,plain,
    ( ~ spl0_7
    | ~ spl0_19
    | spl0_25
    | spl0_49 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s43,plain,
    ( spl0_25
    | spl0_34
    | ~ spl0_37
    | spl0_49 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s44,plain,
    ( spl0_25
    | ~ spl0_33
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s45,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_33
    | spl0_50 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s47,plain,
    ( spl0_15
    | spl0_25
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s48,plain,
    ( spl0_17
    | spl0_25
    | ~ spl0_37
    | spl0_51 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s49,plain,
    ( ~ spl0_12
    | spl0_25
    | spl0_26
    | spl0_51 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s51,plain,
    ( spl0_25
    | spl0_32
    | spl0_46
    | spl0_51 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s52,plain,
    ( spl0_13
    | spl0_25
    | spl0_42
    | spl0_51 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s53,plain,
    ( ~ spl0_8
    | spl0_24
    | spl0_25
    | spl0_53 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s54,plain,
    ( spl0_25
    | spl0_35
    | spl0_38
    | spl0_53 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s55,plain,
    ( spl0_25
    | spl0_51
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s57,plain,
    ( spl0_25
    | spl0_35
    | spl0_41
    | spl0_56 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s59,plain,
    ( spl0_25
    | spl0_35
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s60,plain,
    ( spl0_25
    | ~ spl0_36
    | spl0_50
    | spl0_58 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s61,plain,
    ( spl0_17
    | spl0_25
    | spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s62,plain,
    ( spl0_25
    | spl0_54
    | spl0_60
    | spl0_61 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s65,plain,
    ( spl0_25
    | spl0_27
    | ~ spl0_33
    | spl0_64 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s66,plain,
    ( ~ spl0_19
    | spl0_25
    | spl0_64 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s69,plain,
    ( ~ spl0_22
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f710]) ).

cnf(s70,plain,
    ( ~ spl0_22
    | spl0_67 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s71,plain,
    ( ~ spl0_22
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f720]) ).

cnf(s77,plain,
    ( spl0_36
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s78,plain,
    ( spl0_36
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s79,plain,
    ( spl0_36
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s81,plain,
    ( ~ spl0_27
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s82,plain,
    ( ~ spl0_27
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s83,plain,
    ( ~ spl0_27
    | spl0_77 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s85,plain,
    ( spl0_21
    | spl0_78 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s86,plain,
    ( spl0_21
    | spl0_79 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s87,plain,
    ( spl0_21
    | spl0_80 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s89,plain,
    ( ~ spl0_2
    | spl0_81 ),
    inference(sat_conversion,[],[f790]) ).

cnf(s90,plain,
    ( ~ spl0_2
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s91,plain,
    ( ~ spl0_2
    | spl0_83 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s93,plain,
    ( ~ spl0_23
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s94,plain,
    ( ~ spl0_23
    | spl0_85 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s95,plain,
    ( ~ spl0_23
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s97,plain,
    ( ~ spl0_6
    | spl0_87 ),
    inference(sat_conversion,[],[f822]) ).

cnf(s98,plain,
    ( ~ spl0_6
    | spl0_88 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s99,plain,
    ( ~ spl0_6
    | spl0_89 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s101,plain,
    ( spl0_9
    | spl0_90 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s102,plain,
    ( spl0_9
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s103,plain,
    ( spl0_9
    | spl0_92 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s104,plain,
    ( spl0_9
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f849]) ).

cnf(s105,plain,
    ( ~ spl0_10
    | spl0_93 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s106,plain,
    ( ~ spl0_10
    | spl0_94 ),
    inference(sat_conversion,[],[f859]) ).

cnf(s107,plain,
    ( ~ spl0_10
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s109,plain,
    ( spl0_3
    | spl0_96 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s110,plain,
    ( spl0_3
    | spl0_97 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s111,plain,
    ( spl0_3
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s113,plain,
    ( ~ spl0_4
    | spl0_99 ),
    inference(sat_conversion,[],[f886]) ).

cnf(s114,plain,
    ( ~ spl0_4
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f891]) ).

cnf(s115,plain,
    ( ~ spl0_4
    | spl0_101 ),
    inference(sat_conversion,[],[f896]) ).

cnf(s117,plain,
    ( ~ spl0_5
    | spl0_102 ),
    inference(sat_conversion,[],[f902]) ).

cnf(s118,plain,
    ( ~ spl0_5
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s119,plain,
    ( ~ spl0_5
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f912]) ).

cnf(s121,plain,
    ( spl0_16
    | spl0_105 ),
    inference(sat_conversion,[],[f918]) ).

cnf(s122,plain,
    ( spl0_16
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s123,plain,
    ( spl0_16
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f928]) ).

cnf(s125,plain,
    ( spl0_1
    | spl0_108 ),
    inference(sat_conversion,[],[f934]) ).

cnf(s126,plain,
    ( spl0_1
    | spl0_109 ),
    inference(sat_conversion,[],[f939]) ).

cnf(s127,plain,
    ( spl0_1
    | spl0_110 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s128,plain,
    ( spl0_1
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s129,plain,
    ( spl0_11
    | spl0_111 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s130,plain,
    ( spl0_11
    | spl0_112 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s131,plain,
    ( spl0_11
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s133,plain,
    ( spl0_37
    | spl0_114 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s134,plain,
    ( spl0_37
    | spl0_115 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s135,plain,
    ( spl0_37
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s141,plain,
    ( ~ spl0_13
    | spl0_120 ),
    inference(sat_conversion,[],[f998]) ).

cnf(s142,plain,
    ( ~ spl0_13
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1003]) ).

cnf(s143,plain,
    ( ~ spl0_13
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1008]) ).

cnf(s145,plain,
    ( spl0_8
    | spl0_123 ),
    inference(sat_conversion,[],[f1014]) ).

cnf(s146,plain,
    ( spl0_8
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1019]) ).

cnf(s147,plain,
    ( spl0_8
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s149,plain,
    ( ~ spl0_24
    | spl0_126 ),
    inference(sat_conversion,[],[f1030]) ).

cnf(s150,plain,
    ( ~ spl0_24
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1035]) ).

cnf(s151,plain,
    ( ~ spl0_24
    | spl0_128 ),
    inference(sat_conversion,[],[f1040]) ).

cnf(s157,plain,
    ( ~ spl0_20
    | spl0_132 ),
    inference(sat_conversion,[],[f1062]) ).

cnf(s158,plain,
    ( ~ spl0_20
    | spl0_133 ),
    inference(sat_conversion,[],[f1067]) ).

cnf(s159,plain,
    ( ~ spl0_20
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s161,plain,
    ( ~ spl0_17
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1078]) ).

cnf(s162,plain,
    ( ~ spl0_17
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s163,plain,
    ( ~ spl0_17
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s165,plain,
    ( ~ spl0_15
    | spl0_138 ),
    inference(sat_conversion,[],[f1094]) ).

cnf(s166,plain,
    ( ~ spl0_15
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f1099]) ).

cnf(s167,plain,
    ( ~ spl0_15
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s173,plain,
    ( spl0_12
    | spl0_144 ),
    inference(sat_conversion,[],[f1126]) ).

cnf(s174,plain,
    ( spl0_12
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1131]) ).

cnf(s175,plain,
    ( spl0_12
    | spl0_146 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s177,plain,
    ( spl0_33
    | spl0_147 ),
    inference(sat_conversion,[],[f1142]) ).

cnf(s178,plain,
    ( spl0_33
    | spl0_148 ),
    inference(sat_conversion,[],[f1147]) ).

cnf(s179,plain,
    ( spl0_33
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s181,plain,
    ( spl0_19
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1158]) ).

cnf(s182,plain,
    ( spl0_19
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s183,plain,
    ( spl0_19
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1168]) ).

cnf(s184,plain,
    ( spl0_19
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1169]) ).

cnf(s185,plain,
    ( spl0_7
    | spl0_153 ),
    inference(sat_conversion,[],[f1174]) ).

cnf(s186,plain,
    ( spl0_7
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s187,plain,
    ( spl0_7
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1184]) ).

cnf(s189,plain,
    ( spl0_14
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1190]) ).

cnf(s190,plain,
    ( spl0_14
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1195]) ).

cnf(s191,plain,
    ( spl0_14
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1200]) ).

cnf(s193,plain,
    ( ~ spl0_18
    | spl0_159 ),
    inference(sat_conversion,[],[f1206]) ).

cnf(s194,plain,
    ( ~ spl0_18
    | spl0_160 ),
    inference(sat_conversion,[],[f1211]) ).

cnf(s195,plain,
    ( ~ spl0_18
    | spl0_161 ),
    inference(sat_conversion,[],[f1216]) ).

cnf(s196,plain,
    ( ~ spl0_18
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f1217]) ).

cnf(s212,plain,
    ( ~ spl0_26
    | spl0_136
    | spl0_137
    | spl0_173 ),
    inference(sat_conversion,[],[f1302]) ).

cnf(s217,plain,
    ( ~ spl0_26
    | spl0_151
    | spl0_152
    | spl0_176 ),
    inference(sat_conversion,[],[f1319]) ).

cnf(s238,plain,
    ( ~ spl0_38
    | spl0_135
    | spl0_136
    | spl0_137 ),
    inference(sat_conversion,[],[f1484]) ).

cnf(s243,plain,
    ( ~ spl0_38
    | spl0_150
    | spl0_152
    | spl0_176 ),
    inference(sat_conversion,[],[f1489]) ).

cnf(s260,plain,
    ( ~ spl0_39
    | spl0_144
    | spl0_145
    | spl0_146 ),
    inference(sat_conversion,[],[f1526]) ).

cnf(s273,plain,
    ( ~ spl0_49
    | ~ spl0_102
    | spl0_103
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f1635]) ).

cnf(s274,plain,
    ( ~ spl0_32
    | ~ spl0_49
    | spl0_59 ),
    inference(sat_conversion,[],[f1636]) ).

cnf(s275,plain,
    ( ~ spl0_51
    | ~ spl0_111
    | ~ spl0_112
    | spl0_113 ),
    inference(sat_conversion,[],[f1659]) ).

cnf(s276,plain,
    ( ~ spl0_44
    | ~ spl0_120
    | spl0_121
    | spl0_170 ),
    inference(sat_conversion,[],[f1660]) ).

cnf(s283,plain,
    ( ~ spl0_39
    | spl0_135
    | spl0_137
    | spl0_173 ),
    inference(sat_conversion,[],[f1669]) ).

cnf(s289,plain,
    ( ~ spl0_39
    | spl0_73
    | spl0_74
    | spl0_177 ),
    inference(sat_conversion,[],[f1675]) ).

cnf(s301,plain,
    ( ~ spl0_44
    | ~ spl0_153
    | spl0_154
    | spl0_155 ),
    inference(sat_conversion,[],[f1687]) ).

cnf(s308,plain,
    ( ~ spl0_29
    | spl0_66
    | ~ spl0_67
    | spl0_68 ),
    inference(sat_conversion,[],[f1725]) ).

cnf(s309,plain,
    ( ~ spl0_29
    | spl0_73
    | spl0_74
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1726]) ).

cnf(s311,plain,
    ( ~ spl0_29
    | ~ spl0_115
    | spl0_116
    | spl0_169 ),
    inference(sat_conversion,[],[f1728]) ).

cnf(s318,plain,
    ( ~ spl0_30
    | ~ spl0_51
    | ~ spl0_123
    | spl0_125 ),
    inference(sat_conversion,[],[f1766]) ).

cnf(s319,plain,
    ( ~ spl0_41
    | ~ spl0_123
    | spl0_124
    | spl0_125 ),
    inference(sat_conversion,[],[f1789]) ).

cnf(s337,plain,
    ( ~ spl0_40
    | spl0_145
    | ~ spl0_146
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1873]) ).

cnf(s340,plain,
    ( ~ spl0_53
    | ~ spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1929]) ).

cnf(s341,plain,
    ( ~ spl0_53
    | ~ spl0_108
    | ~ spl0_110
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f1930]) ).

cnf(s343,plain,
    ( ~ spl0_35
    | spl0_84
    | spl0_86
    | spl0_166 ),
    inference(sat_conversion,[],[f1959]) ).

cnf(s347,plain,
    ( ~ spl0_35
    | spl0_150
    | spl0_151
    | spl0_176 ),
    inference(sat_conversion,[],[f1963]) ).

cnf(s364,plain,
    ( ~ spl0_26
    | spl0_72
    | spl0_73
    | spl0_74 ),
    inference(sat_conversion,[],[f2030]) ).

cnf(s366,plain,
    ( ~ spl0_49
    | ~ spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2032]) ).

cnf(s367,plain,
    ( ~ spl0_49
    | ~ spl0_144
    | ~ spl0_146
    | spl0_175 ),
    inference(sat_conversion,[],[f2033]) ).

cnf(s369,plain,
    ( ~ spl0_50
    | ~ spl0_144
    | spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2035]) ).

cnf(s372,plain,
    ( ~ spl0_46
    | ~ spl0_120
    | spl0_122
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f2038]) ).

cnf(s378,plain,
    ( ~ spl0_40
    | ~ spl0_114
    | ~ spl0_115
    | spl0_169 ),
    inference(sat_conversion,[],[f2049]) ).

cnf(s383,plain,
    ( ~ spl0_45
    | spl0_75
    | spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f2054]) ).

cnf(s389,plain,
    ( ~ spl0_56
    | ~ spl0_85
    | spl0_86
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2151]) ).

cnf(s390,plain,
    ( ~ spl0_56
    | ~ spl0_96
    | ~ spl0_97
    | spl0_98 ),
    inference(sat_conversion,[],[f2152]) ).

cnf(s391,plain,
    ( ~ spl0_56
    | ~ spl0_99
    | ~ spl0_101
    | spl0_185 ),
    inference(sat_conversion,[],[f2157]) ).

cnf(s404,plain,
    ( ~ spl0_64
    | ~ spl0_81
    | spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f2267]) ).

cnf(s406,plain,
    ( ~ spl0_64
    | ~ spl0_108
    | ~ spl0_110
    | spl0_183 ),
    inference(sat_conversion,[],[f2269]) ).

cnf(s407,plain,
    ( ~ spl0_64
    | ~ spl0_111
    | ~ spl0_112
    | spl0_179 ),
    inference(sat_conversion,[],[f2270]) ).

cnf(s409,plain,
    ( ~ spl0_64
    | ~ spl0_144
    | spl0_146
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2272]) ).

cnf(s410,plain,
    ( ~ spl0_46
    | spl0_48
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f2273]) ).

cnf(s412,plain,
    ( ~ spl0_28
    | ~ spl0_133
    | spl0_134
    | spl0_172 ),
    inference(sat_conversion,[],[f2275]) ).

cnf(s413,plain,
    ( ~ spl0_30
    | spl0_151
    | spl0_152
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2276]) ).

cnf(s419,plain,
    ( ~ spl0_30
    | ~ spl0_114
    | spl0_116
    | spl0_169 ),
    inference(sat_conversion,[],[f2282]) ).

cnf(s426,plain,
    ( ~ spl0_32
    | ~ spl0_138
    | spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f2289]) ).

cnf(s427,plain,
    ( ~ spl0_32
    | spl0_136
    | spl0_137
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2290]) ).

cnf(s428,plain,
    ( ~ spl0_32
    | ~ spl0_132
    | spl0_134
    | spl0_172 ),
    inference(sat_conversion,[],[f2291]) ).

cnf(s433,plain,
    ( ~ spl0_39
    | spl0_150
    | spl0_151
    | spl0_152 ),
    inference(sat_conversion,[],[f2295]) ).

cnf(s439,plain,
    ( ~ spl0_41
    | ~ spl0_111
    | spl0_113
    | spl0_179 ),
    inference(sat_conversion,[],[f2301]) ).

cnf(s442,plain,
    ( ~ spl0_48
    | ~ spl0_93
    | ~ spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f2304]) ).

cnf(s445,plain,
    ( ~ spl0_59
    | ~ spl0_90
    | spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f2307]) ).

cnf(s448,plain,
    ( ~ spl0_53
    | ~ spl0_111
    | ~ spl0_112
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2310]) ).

cnf(s449,plain,
    ( ~ spl0_61
    | ~ spl0_114
    | ~ spl0_115
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2311]) ).

cnf(s450,plain,
    ( ~ spl0_61
    | ~ spl0_159
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2312]) ).

cnf(s456,plain,
    ( ~ spl0_35
    | spl0_145
    | spl0_146
    | spl0_175 ),
    inference(sat_conversion,[],[f2318]) ).

cnf(s460,plain,
    ( ~ spl0_35
    | spl0_103
    | spl0_104
    | spl0_184 ),
    inference(sat_conversion,[],[f2322]) ).

cnf(s464,plain,
    ( ~ spl0_54
    | ~ spl0_102
    | spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f2326]) ).

cnf(s465,plain,
    ( ~ spl0_59
    | spl0_127
    | ~ spl0_128
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2327]) ).

cnf(s468,plain,
    ( ~ spl0_58
    | ~ spl0_78
    | ~ spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f2330]) ).

cnf(s479,plain,
    ( ~ spl0_29
    | ~ spl0_50
    | spl0_104
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f2373]) ).

cnf(s480,plain,
    ( ~ spl0_29
    | ~ spl0_50
    | spl0_113
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2374]) ).

cnf(s489,plain,
    ( ~ spl0_58
    | ~ spl0_88
    | ~ spl0_89
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2383]) ).

cnf(s490,plain,
    ( ~ spl0_28
    | spl0_139
    | spl0_140
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2384]) ).

cnf(s491,plain,
    ( ~ spl0_38
    | spl0_139
    | spl0_140
    | spl0_181 ),
    inference(sat_conversion,[],[f2385]) ).

cnf(s505,plain,
    ( ~ spl0_51
    | ~ spl0_87
    | ~ spl0_88
    | spl0_167 ),
    inference(sat_conversion,[],[f2399]) ).

cnf(s506,plain,
    ( ~ spl0_54
    | ~ spl0_144
    | spl0_145
    | spl0_175 ),
    inference(sat_conversion,[],[f2400]) ).

cnf(s507,plain,
    ( ~ spl0_54
    | ~ spl0_126
    | spl0_127
    | spl0_171 ),
    inference(sat_conversion,[],[f2401]) ).

cnf(s510,plain,
    ( ~ spl0_51
    | ~ spl0_144
    | spl0_145
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2404]) ).

cnf(s513,plain,
    ( ~ spl0_41
    | spl0_150
    | spl0_151
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2440]) ).

cnf(s516,plain,
    ( ~ spl0_35
    | spl0_156
    | spl0_157
    | spl0_158 ),
    inference(sat_conversion,[],[f2443]) ).

cnf(s519,plain,
    ( ~ spl0_44
    | ~ spl0_99
    | spl0_100
    | spl0_185 ),
    inference(sat_conversion,[],[f2475]) ).

cnf(s521,plain,
    ( ~ spl0_64
    | spl0_100
    | ~ spl0_101
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f2477]) ).

cnf(s528,plain,
    ( ~ spl0_29
    | ~ spl0_50
    | spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f2491]) ).

cnf(s529,plain,
    ( ~ spl0_29
    | ~ spl0_50
    | spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2492]) ).

cnf(s530,plain,
    ( ~ spl0_60
    | ~ spl0_87
    | ~ spl0_88
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2556]) ).

cnf(s531,plain,
    ( ~ spl0_60
    | ~ spl0_108
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2557]) ).

cnf(s536,plain,
    ( ~ spl0_31
    | ~ spl0_114
    | ~ spl0_115
    | spl0_116 ),
    inference(sat_conversion,[],[f2562]) ).

cnf(s537,plain,
    ( ~ spl0_31
    | ~ spl0_133
    | spl0_134
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2563]) ).

cnf(s550,plain,
    ( ~ spl0_34
    | ~ spl0_138
    | spl0_140
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2576]) ).

cnf(s552,plain,
    ( ~ spl0_34
    | ~ spl0_132
    | ~ spl0_133
    | spl0_134 ),
    inference(sat_conversion,[],[f2578]) ).

cnf(s553,plain,
    ( ~ spl0_42
    | spl0_150
    | spl0_152
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2579]) ).

cnf(s557,plain,
    ( ~ spl0_42
    | ~ spl0_105
    | spl0_106
    | spl0_107 ),
    inference(sat_conversion,[],[f2583]) ).

cnf(s566,plain,
    ( ~ spl0_44
    | spl0_135
    | spl0_136
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2592]) ).

cnf(s570,plain,
    ( ~ spl0_46
    | ~ spl0_147
    | ~ spl0_148
    | spl0_149 ),
    inference(sat_conversion,[],[f2596]) ).

cnf(s572,plain,
    ( ~ spl0_46
    | ~ spl0_132
    | spl0_134
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2598]) ).

cnf(s573,plain,
    ( ~ spl0_46
    | ~ spl0_114
    | spl0_116
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2599]) ).

cnf(s581,plain,
    ( ~ spl0_35
    | spl0_72
    | spl0_73
    | spl0_177 ),
    inference(sat_conversion,[],[f2607]) ).

cnf(s583,plain,
    ( ~ spl0_35
    | spl0_135
    | spl0_136
    | spl0_173 ),
    inference(sat_conversion,[],[f2609]) ).

cnf(s587,plain,
    ( spl0_14
    | ~ spl0_35 ),
    inference(rat,[],[s516,s189,s190,s191]) ).

cnf(s588,plain,
    ( spl0_16
    | ~ spl0_42 ),
    inference(rat,[],[s557,s121,s122,s123]) ).

cnf(s589,plain,
    ( spl0_19
    | ~ spl0_35
    | ~ spl0_30 ),
    inference(rat,[],[s347,s413,s181,s182,s183]) ).

cnf(s590,plain,
    ( spl0_36
    | ~ spl0_39
    | ~ spl0_29 ),
    inference(rat,[],[s289,s309,s78,s79]) ).

cnf(s591,plain,
    ( spl0_37
    | ~ spl0_29
    | ~ spl0_46 ),
    inference(rat,[],[s573,s311,s133,s134,s135]) ).

cnf(s592,plain,
    ( spl0_36
    | ~ spl0_29
    | ~ spl0_35 ),
    inference(rat,[],[s581,s309,s77,s78,s79]) ).

cnf(s593,plain,
    ( spl0_8
    | ~ spl0_46
    | ~ spl0_30
    | spl0_56
    | spl0_2
    | spl0_25 ),
    inference(rat,[],[s238,s161,s162,s163,s24,s48,s592,s591,s16,s589,s57,s318,s319,s145,s146,s147]) ).

cnf(s594,plain,
    ( ~ spl0_35
    | spl0_49
    | ~ spl0_138
    | spl0_139
    | spl0_140
    | ~ spl0_46
    | ~ spl0_30
    | spl0_2
    | spl0_25 ),
    inference(rat,[],[s491,s550,s24,s43,s592,s591,s16,s589]) ).

cnf(s595,plain,
    ( ~ spl0_46
    | spl0_53
    | spl0_5
    | ~ spl0_30
    | spl0_56
    | spl0_2
    | spl0_25 ),
    inference(rat,[],[s419,s573,s133,s135,s43,s550,s491,s54,s594,s366,s149,s150,s151,s165,s166,s167,s53,s7,s593]) ).

cnf(s596,plain,
    ( spl0_136
    | spl0_135
    | ~ spl0_35
    | ~ spl0_44 ),
    inference(rat,[],[s566,s583]) ).

cnf(s597,plain,
    ( spl0_9
    | ~ spl0_59 ),
    inference(rat,[],[s445,s101,s102,s103]) ).

cnf(s598,plain,
    ( ~ spl0_17
    | ~ spl0_32
    | ~ spl0_35 ),
    inference(rat,[],[s583,s427,s161,s162,s163]) ).

cnf(s599,plain,
    ( ~ spl0_7
    | spl0_17
    | ~ spl0_32
    | spl0_125
    | ~ spl0_123
    | ~ spl0_19
    | spl0_25 ),
    inference(rat,[],[s319,s146,s31,s3,s597,s274,s42]) ).

cnf(s600,plain,
    ( spl0_7
    | ~ spl0_44 ),
    inference(rat,[],[s185,s301,s186,s187]) ).

cnf(s601,plain,
    ( spl0_125
    | ~ spl0_123
    | ~ spl0_35
    | ~ spl0_7
    | spl0_46
    | ~ spl0_30
    | spl0_25 ),
    inference(rat,[],[s599,s598,s51,s318,s589]) ).

cnf(s602,plain,
    ( ~ spl0_24
    | ~ spl0_49 ),
    inference(rat,[],[s366,s149,s150,s151]) ).

cnf(s603,plain,
    ( ~ spl0_35
    | ~ spl0_7
    | spl0_46
    | spl0_53
    | ~ spl0_30
    | spl0_25 ),
    inference(rat,[],[s601,s145,s147,s53,s602,s42,s589]) ).

cnf(s604,plain,
    ( spl0_8
    | ~ spl0_41 ),
    inference(rat,[],[s319,s145,s146,s147]) ).

cnf(s605,plain,
    ( spl0_5
    | spl0_4
    | spl0_56
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s238,s161,s162,s163,s61,s597,s3,s604,s54,s57,s603,s600,s37,s595,s340,s97,s98,s99,s2,s531,s125,s126,s127,s17,s128]) ).

cnf(s606,plain,
    ( ~ spl0_35
    | ~ spl0_102
    | spl0_103
    | spl0_104
    | spl0_4
    | spl0_2
    | spl0_25 ),
    inference(rat,[],[s37,s594,s600,s165,s166,s167,s42,s47,s273,s479,s16,s460,s589,s17]) ).

cnf(s607,plain,
    ( ~ spl0_17
    | ~ spl0_38 ),
    inference(rat,[],[s238,s161,s162,s163]) ).

cnf(s608,plain,
    ( ~ spl0_18
    | ~ spl0_61 ),
    inference(rat,[],[s450,s193,s194,s195]) ).

cnf(s609,plain,
    ( ~ spl0_19
    | spl0_18
    | spl0_35
    | spl0_1 ),
    inference(rat,[],[s607,s54,s61,s341,s597,s406,s9,s66,s128,s531,s125,s126,s127]) ).

cnf(s610,plain,
    ( spl0_4
    | spl0_56
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s448,s439,s129,s130,s131,s54,s30,s243,s433,s413,s181,s182,s183,s609,s608,s57,s606,s62,s464,s117,s118,s119,s605,s17,s128,s531,s125,s126,s127]) ).

cnf(s611,plain,
    ( ~ spl0_46
    | ~ spl0_36
    | ~ spl0_19
    | ~ spl0_30
    | spl0_56
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s9,s597,s608,s61,s62,s607,s464,s24,s117,s118,s119,s591,s595,s531,s126,s16,s341,s406,s66,s128,s127,s125]) ).

cnf(s612,plain,
    ( spl0_11
    | ~ spl0_51 ),
    inference(rat,[],[s275,s129,s130,s131]) ).

cnf(s613,plain,
    ( spl0_104
    | spl0_103
    | ~ spl0_50
    | ~ spl0_29
    | ~ spl0_35 ),
    inference(rat,[],[s460,s479]) ).

cnf(s614,plain,
    ( spl0_151
    | spl0_150
    | ~ spl0_41
    | ~ spl0_35 ),
    inference(rat,[],[s513,s347]) ).

cnf(s615,plain,
    ( spl0_48
    | spl0_5
    | ~ spl0_19
    | spl0_25 ),
    inference(rat,[],[s588,s40,s39]) ).

cnf(s617,plain,
    ( spl0_145
    | ~ spl0_144
    | ~ spl0_54
    | ~ spl0_51 ),
    inference(rat,[],[s506,s510]) ).

cnf(s618,plain,
    ( ~ spl0_10
    | ~ spl0_48 ),
    inference(rat,[],[s442,s105,s106,s107]) ).

cnf(s619,plain,
    ( ~ spl0_17
    | spl0_10
    | spl0_46
    | ~ spl0_29
    | ~ spl0_35
    | spl0_1 ),
    inference(rat,[],[s506,s510,s173,s174,s4,s612,s62,s449,s311,s133,s134,s135,s24,s51,s607,s598,s128,s531,s125,s126,s127,s592]) ).

cnf(s620,plain,
    ( spl0_17
    | ~ spl0_19
    | spl0_1 ),
    inference(rat,[],[s507,s465,s149,s150,s151,s53,s62,s604,s608,s31,s9,s597,s61,s531,s126,s341,s406,s66,s128,s127,s125]) ).

cnf(s621,plain,
    ( ~ spl0_30
    | ~ spl0_35
    | spl0_56
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s62,s464,s449,s117,s118,s119,s311,s615,s133,s134,s135,s618,s24,s619,s607,s620,s611,s592,s16,s589,s128,s531,s125,s126,s127]) ).

cnf(s622,plain,
    ( ~ spl0_19
    | spl0_30
    | ~ spl0_35
    | ~ spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s464,s62,s117,s118,s119,s449,s615,s311,s618,s133,s134,s135,s35,s24,s519,s607,s521,s592,s620,s66,s16,s128,s531,s125,s126,s127,s115,s114,s113]) ).

cnf(s623,plain,
    ( ~ spl0_17
    | spl0_46
    | spl0_39
    | ~ spl0_35
    | spl0_25 ),
    inference(rat,[],[s612,s30,s51,s607,s598]) ).

cnf(s624,plain,
    ( spl0_17
    | spl0_41
    | spl0_1 ),
    inference(rat,[],[s597,s31,s61,s128,s531,s125,s126,s127]) ).

cnf(s625,plain,
    ( spl0_33
    | ~ spl0_46 ),
    inference(rat,[],[s570,s177,s178,s179]) ).

cnf(s626,plain,
    ( spl0_37
    | ~ spl0_40
    | ~ spl0_46 ),
    inference(rat,[],[s378,s573,s133,s134,s135]) ).

cnf(s627,plain,
    ( ~ spl0_35
    | spl0_56
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s369,s173,s174,s175,s49,s364,s77,s78,s79,s24,s626,s34,s383,s45,s81,s82,s83,s602,s65,s44,s625,s410,s618,s612,s35,s30,s596,s623,s607,s161,s162,s624,s614,s433,s181,s182,s183,s622,s621,s128,s610]) ).

cnf(s628,plain,
    ( ~ spl0_19
    | spl0_35
    | spl0_1 ),
    inference(rat,[],[s54,s341,s607,s406,s620,s66,s128,s127,s125]) ).

cnf(s629,plain,
    ( spl0_56
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s448,s439,s129,s130,s131,s30,s54,s243,s513,s433,s181,s182,s183,s628,s57,s627,s128]) ).

cnf(s630,plain,
    ( ~ spl0_19
    | ~ spl0_35
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s391,s521,s113,s114,s115,s37,s591,s596,s24,s607,s161,s162,s592,s620,s66,s16,s128,s629]) ).

cnf(s631,plain,
    ( spl0_3
    | ~ spl0_56 ),
    inference(rat,[],[s390,s109,s110,s111]) ).

cnf(s632,plain,
    ( ~ spl0_35
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s343,s389,s93,s94,s95,s18,s589,s630,s128,s631,s629]) ).

cnf(s633,plain,
    ( ~ spl0_15
    | ~ spl0_32 ),
    inference(rat,[],[s426,s165,s166,s167]) ).

cnf(s634,plain,
    ( spl0_26
    | spl0_39
    | ~ spl0_3
    | spl0_25 ),
    inference(rat,[],[s428,s537,s157,s158,s159,s28,s337,s367,s29,s47,s633,s369,s173,s174,s175,s49,s21,s612,s26]) ).

cnf(s635,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s212,s566,s161,s162,s163,s624,s36,s513,s413,s217,s634,s433,s181,s182,s183,s628,s632,s631,s629,s128]) ).

cnf(s636,plain,
    ( ~ spl0_35
    | spl0_1 ),
    inference(rat,[],[s369,s173,s174,s175,s49,s364,s77,s78,s79,s24,s626,s45,s34,s602,s383,s44,s81,s82,s83,s618,s65,s612,s35,s625,s30,s596,s623,s607,s161,s162,s624,s614,s589,s433,s182,s181,s183,s66,s404,s89,s90,s91,s635,s128]) ).

cnf(s637,plain,
    ( ~ spl0_41
    | spl0_1 ),
    inference(rat,[],[s448,s439,s129,s130,s131,s30,s54,s243,s513,s433,s182,s181,s183,s66,s404,s89,s90,s91,s635,s128,s636]) ).

cnf(s638,plain,
    spl0_1,
    inference(rat,[],[s36,s413,s566,s217,s212,s634,s161,s162,s163,s631,s624,s57,s637,s636,s433,s181,s182,s183,s66,s404,s89,s90,s91,s635,s128]) ).

cnf(s642,plain,
    ( ~ spl0_22
    | ~ spl0_29 ),
    inference(rat,[],[s308,s69,s70,s71]) ).

cnf(s643,plain,
    ( spl0_21
    | ~ spl0_58 ),
    inference(rat,[],[s468,s85,s86,s87]) ).

cnf(s644,plain,
    ( ~ spl0_58
    | ~ spl0_51
    | spl0_22 ),
    inference(rat,[],[s505,s489,s97,s98,s99,s11,s643]) ).

cnf(s645,plain,
    ( spl0_145
    | ~ spl0_50
    | ~ spl0_39
    | ~ spl0_29
    | ~ spl0_64
    | ~ spl0_35 ),
    inference(rat,[],[s409,s260,s456,s529]) ).

cnf(s646,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_19
    | ~ spl0_35
    | spl0_25 ),
    inference(rat,[],[s613,s118,s119,s615,s618,s4,s174,s645,s60,s644,s612,s51,s623,s591,s24,s607,s598,s66,s592,s642]) ).

cnf(s647,plain,
    ( ~ spl0_51
    | ~ spl0_39
    | ~ spl0_29
    | ~ spl0_19
    | ~ spl0_35
    | spl0_25 ),
    inference(rat,[],[s613,s118,s119,s615,s618,s4,s174,s645,s60,s644,s612,s66,s592,s642]) ).

cnf(s648,plain,
    ( ~ spl0_32
    | spl0_17
    | ~ spl0_29
    | ~ spl0_64
    | ~ spl0_14
    | spl0_25 ),
    inference(rat,[],[s31,s604,s597,s53,s274,s602,s47,s480,s448,s407,s129,s130,s131,s6,s633]) ).

cnf(s649,plain,
    ( ~ spl0_51
    | ~ spl0_29
    | ~ spl0_19
    | ~ spl0_35
    | spl0_25 ),
    inference(rat,[],[s528,s82,s83,s14,s490,s491,s166,s167,s30,s60,s6,s647,s644,s612,s587,s592,s642,s646]) ).

cnf(s650,plain,
    ( ~ spl0_29
    | ~ spl0_19
    | ~ spl0_35
    | spl0_25 ),
    inference(rat,[],[s591,s48,s51,s649,s648,s646,s587,s66]) ).

cnf(s651,plain,
    ( ~ spl0_19
    | ~ spl0_35
    | spl0_25 ),
    inference(rat,[],[s404,s89,s90,s91,s16,s650,s66]) ).

cnf(s652,plain,
    ( ~ spl0_17
    | ~ spl0_35
    | spl0_25 ),
    inference(rat,[],[s369,s173,s174,s175,s49,s364,s77,s78,s79,s24,s626,s34,s383,s45,s81,s82,s83,s602,s65,s44,s410,s618,s612,s35,s625,s30,s596,s623,s607,s161,s162,s589,s433,s182,s181,s183,s651]) ).

cnf(s653,plain,
    ( ~ spl0_51
    | ~ spl0_35
    | spl0_25 ),
    inference(rat,[],[s530,s505,s97,s98,s27,s612,s433,s183,s61,s597,s31,s614,s181,s182,s651,s652]) ).

cnf(s654,plain,
    ( ~ spl0_35
    | spl0_25 ),
    inference(rat,[],[s383,s81,s82,s83,s14,s412,s572,s34,s157,s158,s159,s276,s28,s372,s626,s51,s633,s29,s536,s141,s142,s143,s133,s134,s135,s52,s48,s653,s652,s553,s347,s433,s181,s182,s183,s651]) ).

cnf(s655,plain,
    ( spl0_145
    | ~ spl0_50
    | ~ spl0_54
    | ~ spl0_29
    | ~ spl0_39
    | ~ spl0_51 ),
    inference(rat,[],[s260,s617,s529]) ).

cnf(s656,plain,
    ( ~ spl0_29
    | ~ spl0_39
    | ~ spl0_51
    | ~ spl0_19
    | spl0_25 ),
    inference(rat,[],[s464,s117,s118,s119,s615,s618,s4,s174,s655,s60,s59,s644,s590,s642,s654,s612]) ).

cnf(s657,plain,
    ( ~ spl0_2
    | ~ spl0_64 ),
    inference(rat,[],[s404,s89,s90,s91]) ).

cnf(s658,plain,
    ( ~ spl0_51
    | spl0_38
    | ~ spl0_19
    | spl0_25 ),
    inference(rat,[],[s30,s656,s612,s16,s657,s66]) ).

cnf(s659,plain,
    ( ~ spl0_39
    | spl0_51
    | spl0_38
    | spl0_135
    | spl0_136
    | spl0_137
    | ~ spl0_29
    | spl0_25 ),
    inference(rat,[],[s591,s51,s24,s427,s590,s283]) ).

cnf(s660,plain,
    ( ~ spl0_17
    | ~ spl0_19
    | spl0_25 ),
    inference(rat,[],[s448,s439,s129,s130,s131,s30,s659,s658,s54,s607,s161,s162,s163,s16,s57,s631,s1,s657,s66,s654,s638]) ).

cnf(s661,plain,
    ( ~ spl0_51
    | ~ spl0_19
    | spl0_25 ),
    inference(rat,[],[s507,s465,s149,s150,s151,s61,s53,s530,s340,s505,s97,s98,s99,s59,s27,s644,s656,s612,s642,s16,s604,s57,s631,s1,s657,s66,s654,s660,s638]) ).

cnf(s662,plain,
    ( ~ spl0_19
    | spl0_25 ),
    inference(rat,[],[s340,s97,s98,s99,s11,s643,s59,s55,s464,s117,s118,s119,s7,s633,s51,s591,s48,s661,s660,s604,s57,s642,s631,s16,s1,s657,s66,s654,s638]) ).

cnf(s663,plain,
    ( ~ spl0_11
    | spl0_25 ),
    inference(rat,[],[s57,s513,s631,s243,s26,s30,s654,s433,s182,s181,s183,s662]) ).

cnf(s664,plain,
    ( ~ spl0_17
    | spl0_25 ),
    inference(rat,[],[s36,s566,s413,s212,s217,s634,s631,s57,s439,s448,s54,s607,s161,s162,s163,s654,s433,s182,s181,s183,s662,s131,s130,s129,s663]) ).

cnf(s665,plain,
    spl0_25,
    inference(rat,[],[s276,s372,s34,s141,s142,s143,s383,s52,s81,s82,s83,s553,s14,s217,s412,s22,s572,s552,s157,s158,s159,s28,s626,s625,s51,s633,s29,s536,s133,s134,s135,s48,s664,s612,s663,s433,s181,s182,s183,s662]) ).

cnf(s666,plain,
    ~ spl0_18,
    inference(rat,[],[s196,s665]) ).

cnf(s669,plain,
    spl0_19,
    inference(rat,[],[s184,s665]) ).

cnf(s688,plain,
    spl0_9,
    inference(rat,[],[s104,s665]) ).

cnf(s697,plain,
    $false,
    inference(rat,[],[s9,s669,s666,s688]) ).

fof(f2613,plain,
    $false,
    inference(avatar_sat_refutation,[],[s697]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN468+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n008.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 16:10:40 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.27  % (2371302)Will run a generic schedule for satisfiability detection.
% 0.19/0.27  % (2371313)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4031082681:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27  % (2371308)% WARNING: option uhcvi not known.
% 0.19/0.27  % (2371307)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1754694638_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27  % (2371308)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2665711620:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27  % (2371309)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4120879642:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27  % (2371310)dis+10_1_sil=32000:sp=arity:random_seed=3738580986:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27  % (2371311)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2414391013:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27  % (2371312)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1932272656:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27  % Detected minimum model sizes of [1]
% 0.19/0.27  % Detected maximum model sizes of [32]
% 0.19/0.27  % TRYING [1]
% 0.19/0.27  % TRYING [2]
% 0.19/0.27  % (2371313) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2371302-2371313"...
% 0.19/0.27  % TRYING [3]
% 0.19/0.27  % (2371313)...printing done.
% 0.19/0.27  % TRYING [4]
% 0.19/0.27  % (2371313)Refutation found. Thanks to Tanya!
% 0.19/0.27  % SZS status Theorem for theBenchmark
% 0.19/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29  % (2371313)------------------------------
% 0.19/0.29  % (2371313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29  % (2371313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29  % (2371313)CaDiCaL version: 2.1.3
% 0.19/0.29  % (2371313)Termination reason: Refutation
% 0.19/0.29  % (2371313)Time elapsed: 0.022 s
% 0.19/0.29  % (2371313)Peak memory usage: 13 MB
% 0.19/0.29  % (2371313)Instructions burned: 65 (million)
% 0.19/0.29  % (2371302)Success in time 0.055 s
% 0.19/0.29  % Vampire exiting
%------------------------------------------------------------------------------