↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---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 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:53:21 PM UTC 2026

% Result   : Theorem 1.93s 0.71s
% Output   : Refutation 2.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :  142
% Syntax   : Number of formulae    :  921 (  20 unt; 141 def)
%            Number of atoms       : 6289 (   0 equ)
%            Maximal formula atoms :  637 (   6 avg)
%            Number of connectives : 8290 (2922   ~;3976   |; 975   &)
%                                         ( 141 <=>; 276  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  179 ( 178 usr; 175 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  651 (   0 sgn 651   !;   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(f9,plain,
    ( hskp5
    | hskp16
    | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp8
    | hskp13
    | hskp18 ),
    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(f20,plain,
    ! [X88] :
      ( ~ c0_1(X88)
      | ~ c1_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | hskp23 ),
    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(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(f28,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | hskp1 ),
    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(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(f37,plain,
    ! [X64] :
      ( c1_1(X64)
      | c3_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | hskp15
      | hskp28 ),
    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(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(f46,plain,
    ! [X49] :
      ( c0_1(X49)
      | ~ c1_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | hskp11
      | hskp17 ),
    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(f51,plain,
    ! [X42] :
      ( c0_1(X42)
      | ~ c1_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | hskp13
      | hskp16 ),
    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(f63,plain,
    ! [X18] :
      ( c0_1(X18)
      | c2_1(X18)
      | ~ c1_1(X18)
      | ~ ndr1_0
      | hskp4
      | hskp6 ),
    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(f73,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | hskp0 ),
    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(f97,plain,
    ( ~ hskp26
    | ndr1_0 ),
    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(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(f117,plain,
    ( ~ hskp21
    | ndr1_0 ),
    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(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(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(f175,plain,
    ( ~ hskp6
    | ~ c0_1(a298) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp6
    | c2_1(a298) ),
    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(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(f203,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,[],[f26]) ).

fof(f205,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | ~ c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f207,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,[],[f34]) ).

fof(f208,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,[],[f35]) ).

fof(f209,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,[],[f39]) ).

fof(f210,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,[],[f40]) ).

fof(f211,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,[],[f41]) ).

fof(f212,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,[],[f42]) ).

fof(f213,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,[],[f45]) ).

fof(f215,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,[],[f49]) ).

fof(f216,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,[],[f52]) ).

fof(f217,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,[],[f54]) ).

fof(f219,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,[],[f56]) ).

fof(f220,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,[],[f57]) ).

fof(f221,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,[],[f59]) ).

fof(f222,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,[],[f60]) ).

fof(f223,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,[],[f62]) ).

fof(f224,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,[],[f64]) ).

fof(f225,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,[],[f65]) ).

fof(f226,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,[],[f66]) ).

fof(f227,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,[],[f67]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c3_1(X1)
      | ~ c0_1(X1)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f73]) ).

fof(f231,definition,
    ( spl0_1
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f234,definition,
    ( spl0_2
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f237,definition,
    ( spl0_3
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f239,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f237,f234,f231]) ).

fof(f241,definition,
    ( spl0_4
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f247,definition,
    ( spl0_6
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f254,definition,
    ( spl0_8
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f257,definition,
    ( spl0_9
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f261,definition,
    ( spl0_10
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f264,definition,
    ( spl0_11
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f267,definition,
    ( spl0_12
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f269,plain,
    ( spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f9,f267,f264,f261]) ).

fof(f271,definition,
    ( spl0_13
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f275,definition,
    ( spl0_14
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f278,definition,
    ( spl0_15
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f283,definition,
    ( spl0_16
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f286,definition,
    ( spl0_17
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f288,plain,
    ( spl0_16
    | spl0_13
    | spl0_17 ),
    inference(avatar_split_clause,[],[f13,f286,f271,f283]) ).

fof(f290,definition,
    ( spl0_18
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f293,definition,
    ( spl0_19
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f301,definition,
    ( spl0_21
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f304,definition,
    ( spl0_22
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f306,plain,
    ( spl0_6
    | spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f16,f304,f301,f247]) ).

fof(f311,definition,
    ( spl0_24
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f314,definition,
    ( spl0_25
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f317,definition,
    ( spl0_26
  <=> ! [X91] :
        ( ~ c0_1(X91)
        | ~ c3_1(X91)
        | ~ c2_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f318,plain,
    ( ! [X91] :
        ( ~ c2_1(X91)
        | ~ c3_1(X91)
        | ~ c0_1(X91) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f321,definition,
    ( spl0_27
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f324,definition,
    ( spl0_28
  <=> ! [X90] :
        ( ~ c0_1(X90)
        | ~ c3_1(X90)
        | ~ c1_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f325,plain,
    ( ! [X90] :
        ( ~ c1_1(X90)
        | ~ c3_1(X90)
        | ~ c0_1(X90) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f327,plain,
    ( spl0_27
    | spl0_17
    | ~ spl0_25
    | spl0_28 ),
    inference(avatar_split_clause,[],[f19,f324,f314,f286,f321]) ).

fof(f329,definition,
    ( spl0_29
  <=> ! [X88] :
        ( ~ c0_1(X88)
        | ~ c2_1(X88)
        | ~ c1_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f330,plain,
    ( ! [X88] :
        ( ~ c1_1(X88)
        | ~ c2_1(X88)
        | ~ c0_1(X88) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f331,plain,
    ( spl0_9
    | ~ spl0_25
    | spl0_29 ),
    inference(avatar_split_clause,[],[f20,f329,f314,f257]) ).

fof(f332,plain,
    ( spl0_2
    | spl0_19
    | ~ spl0_25
    | spl0_29 ),
    inference(avatar_split_clause,[],[f21,f329,f314,f293,f234]) ).

fof(f334,definition,
    ( spl0_30
  <=> ! [X86] :
        ( c3_1(X86)
        | ~ c2_1(X86)
        | ~ c0_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f335,plain,
    ( ! [X86] :
        ( ~ c2_1(X86)
        | c3_1(X86)
        | ~ c0_1(X86) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f336,plain,
    ( spl0_4
    | ~ spl0_25
    | spl0_30 ),
    inference(avatar_split_clause,[],[f22,f334,f314,f241]) ).

fof(f339,definition,
    ( spl0_31
  <=> ! [X83] :
        ( c3_1(X83)
        | ~ c1_1(X83)
        | ~ c0_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f340,plain,
    ( ! [X83] :
        ( ~ c1_1(X83)
        | c3_1(X83)
        | ~ c0_1(X83) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f343,definition,
    ( spl0_32
  <=> ! [X82] :
        ( c2_1(X82)
        | ~ c3_1(X82)
        | ~ c0_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X82] :
        ( c2_1(X82)
        | ~ c3_1(X82)
        | ~ c0_1(X82) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f346,plain,
    ( spl0_3
    | spl0_26
    | ~ spl0_25
    | spl0_32 ),
    inference(avatar_split_clause,[],[f203,f343,f314,f317,f237]) ).

fof(f348,definition,
    ( spl0_33
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f355,definition,
    ( spl0_35
  <=> ! [X76] :
        ( c1_1(X76)
        | ~ c3_1(X76)
        | ~ c2_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f356,plain,
    ( ! [X76] :
        ( c1_1(X76)
        | ~ c3_1(X76)
        | ~ c2_1(X76) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f357,plain,
    ( spl0_14
    | spl0_31
    | ~ spl0_25
    | spl0_35 ),
    inference(avatar_split_clause,[],[f205,f355,f314,f339,f275]) ).

fof(f359,definition,
    ( spl0_36
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f362,definition,
    ( spl0_37
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f365,definition,
    ( spl0_38
  <=> ! [X75] :
        ( c1_1(X75)
        | ~ c3_1(X75)
        | ~ c0_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f366,plain,
    ( ! [X75] :
        ( c1_1(X75)
        | ~ c3_1(X75)
        | ~ c0_1(X75) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f367,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_25
    | spl0_38 ),
    inference(avatar_split_clause,[],[f29,f365,f314,f362,f359]) ).

fof(f370,definition,
    ( spl0_39
  <=> ! [X73] :
        ( c1_1(X73)
        | ~ c2_1(X73)
        | ~ c0_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f371,plain,
    ( ! [X73] :
        ( c1_1(X73)
        | ~ c2_1(X73)
        | ~ c0_1(X73) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f372,plain,
    ( spl0_3
    | spl0_11
    | ~ spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f31,f370,f314,f264,f237]) ).

fof(f373,plain,
    ( spl0_11
    | spl0_6
    | ~ spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f32,f370,f314,f247,f264]) ).

fof(f375,definition,
    ( spl0_40
  <=> ! [X71] :
        ( c3_1(X71)
        | ~ c2_1(X71)
        | ~ c1_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X71] :
        ( ~ c1_1(X71)
        | ~ c2_1(X71)
        | c3_1(X71) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f378,plain,
    ( spl0_15
    | spl0_31
    | ~ spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f207,f370,f314,f339,f278]) ).

fof(f379,plain,
    ( spl0_11
    | spl0_38
    | ~ spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f208,f370,f314,f365,f264]) ).

fof(f381,definition,
    ( spl0_41
  <=> ! [X65] :
        ( c1_1(X65)
        | ~ c2_1(X65)
        | c3_1(X65) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f382,plain,
    ( ! [X65] :
        ( c1_1(X65)
        | ~ c2_1(X65)
        | c3_1(X65) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f383,plain,
    ( spl0_9
    | spl0_17
    | ~ spl0_25
    | spl0_41 ),
    inference(avatar_split_clause,[],[f36,f381,f314,f286,f257]) ).

fof(f385,definition,
    ( spl0_42
  <=> ! [X64] :
        ( c1_1(X64)
        | ~ c0_1(X64)
        | c3_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f386,plain,
    ( ! [X64] :
        ( c1_1(X64)
        | ~ c0_1(X64)
        | c3_1(X64) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f387,plain,
    ( spl0_27
    | spl0_37
    | ~ spl0_25
    | spl0_42 ),
    inference(avatar_split_clause,[],[f37,f385,f314,f362,f321]) ).

fof(f392,definition,
    ( spl0_44
  <=> ! [X63] :
        ( c1_1(X63)
        | ~ c3_1(X63)
        | c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f393,plain,
    ( ! [X63] :
        ( c1_1(X63)
        | ~ c3_1(X63)
        | c2_1(X63) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f396,definition,
    ( spl0_45
  <=> ! [X62] :
        ( ~ c1_1(X62)
        | ~ c3_1(X62)
        | ~ c2_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f397,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | ~ c3_1(X62)
        | ~ c2_1(X62) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f398,plain,
    ( spl0_45
    | spl0_40
    | ~ spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f209,f392,f314,f375,f396]) ).

fof(f399,plain,
    ( spl0_10
    | spl0_30
    | ~ spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f210,f392,f314,f334,f261]) ).

fof(f400,plain,
    ( spl0_3
    | spl0_30
    | ~ spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f211,f392,f314,f334,f237]) ).

fof(f402,definition,
    ( spl0_46
  <=> ! [X55] :
        ( c2_1(X55)
        | ~ c0_1(X55)
        | c3_1(X55) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f403,plain,
    ( ! [X55] :
        ( c2_1(X55)
        | ~ c0_1(X55)
        | c3_1(X55) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f404,plain,
    ( spl0_4
    | spl0_46
    | ~ spl0_25
    | spl0_44 ),
    inference(avatar_split_clause,[],[f212,f392,f314,f402,f241]) ).

fof(f410,definition,
    ( spl0_48
  <=> ! [X52] :
        ( c1_1(X52)
        | c3_1(X52)
        | c2_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f411,plain,
    ( ! [X52] :
        ( c1_1(X52)
        | c3_1(X52)
        | c2_1(X52) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f413,plain,
    ( spl0_19
    | spl0_42
    | ~ spl0_25
    | spl0_48 ),
    inference(avatar_split_clause,[],[f213,f410,f314,f385,f293]) ).

fof(f415,definition,
    ( spl0_49
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c3_1(X49)
        | ~ c1_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f416,plain,
    ( ! [X49] :
        ( ~ c1_1(X49)
        | ~ c3_1(X49)
        | c0_1(X49) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f417,plain,
    ( spl0_1
    | spl0_24
    | ~ spl0_25
    | spl0_49 ),
    inference(avatar_split_clause,[],[f46,f415,f314,f311,f231]) ).

fof(f420,plain,
    ( spl0_33
    | spl0_48
    | ~ spl0_25
    | spl0_49 ),
    inference(avatar_split_clause,[],[f215,f415,f314,f410,f348]) ).

fof(f422,definition,
    ( spl0_50
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c2_1(X43)
        | ~ c1_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f423,plain,
    ( ! [X43] :
        ( ~ c1_1(X43)
        | ~ c2_1(X43)
        | c0_1(X43) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f424,plain,
    ( spl0_24
    | spl0_33
    | ~ spl0_25
    | spl0_50 ),
    inference(avatar_split_clause,[],[f50,f422,f314,f348,f311]) ).

fof(f425,plain,
    ( spl0_11
    | spl0_13
    | ~ spl0_25
    | spl0_50 ),
    inference(avatar_split_clause,[],[f51,f422,f314,f271,f264]) ).

fof(f426,plain,
    ( spl0_15
    | spl0_49
    | ~ spl0_25
    | spl0_50 ),
    inference(avatar_split_clause,[],[f216,f422,f314,f415,f278]) ).

fof(f428,definition,
    ( spl0_51
  <=> ! [X39] :
        ( c0_1(X39)
        | ~ c2_1(X39)
        | c3_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f429,plain,
    ( ! [X39] :
        ( ~ c2_1(X39)
        | c0_1(X39)
        | c3_1(X39) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f428]) ).

fof(f430,plain,
    ( spl0_17
    | spl0_37
    | ~ spl0_25
    | spl0_51 ),
    inference(avatar_split_clause,[],[f53,f428,f314,f362,f286]) ).

fof(f431,plain,
    ( spl0_12
    | spl0_26
    | ~ spl0_25
    | spl0_51 ),
    inference(avatar_split_clause,[],[f217,f428,f314,f317,f267]) ).

fof(f436,plain,
    ( spl0_32
    | spl0_46
    | ~ spl0_25
    | spl0_51 ),
    inference(avatar_split_clause,[],[f219,f428,f314,f402,f343]) ).

fof(f437,plain,
    ( spl0_13
    | spl0_42
    | ~ spl0_25
    | spl0_51 ),
    inference(avatar_split_clause,[],[f220,f428,f314,f385,f271]) ).

fof(f439,definition,
    ( spl0_53
  <=> ! [X29] :
        ( c0_1(X29)
        | ~ c1_1(X29)
        | c3_1(X29) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f440,plain,
    ( ! [X29] :
        ( ~ c1_1(X29)
        | c0_1(X29)
        | c3_1(X29) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f441,plain,
    ( spl0_8
    | spl0_24
    | ~ spl0_25
    | spl0_53 ),
    inference(avatar_split_clause,[],[f58,f439,f314,f311,f254]) ).

fof(f442,plain,
    ( spl0_35
    | spl0_38
    | ~ spl0_25
    | spl0_53 ),
    inference(avatar_split_clause,[],[f221,f439,f314,f365,f355]) ).

fof(f444,definition,
    ( spl0_54
  <=> ! [X25] :
        ( c0_1(X25)
        | ~ c3_1(X25)
        | ~ c2_1(X25) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f445,plain,
    ( ! [X25] :
        ( ~ c2_1(X25)
        | ~ c3_1(X25)
        | c0_1(X25) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f446,plain,
    ( spl0_54
    | spl0_51
    | ~ spl0_25
    | spl0_53 ),
    inference(avatar_split_clause,[],[f222,f439,f314,f428,f444]) ).

fof(f451,definition,
    ( spl0_56
  <=> ! [X22] :
        ( c0_1(X22)
        | ~ c3_1(X22)
        | c2_1(X22) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f452,plain,
    ( ! [X22] :
        ( c2_1(X22)
        | ~ c3_1(X22)
        | c0_1(X22) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f454,plain,
    ( spl0_35
    | spl0_41
    | ~ spl0_25
    | spl0_56 ),
    inference(avatar_split_clause,[],[f223,f451,f314,f381,f355]) ).

fof(f456,definition,
    ( spl0_57
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f459,definition,
    ( spl0_58
  <=> ! [X18] :
        ( c0_1(X18)
        | ~ c1_1(X18)
        | c2_1(X18) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f460,plain,
    ( ! [X18] :
        ( ~ c1_1(X18)
        | c0_1(X18)
        | c2_1(X18) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f461,plain,
    ( spl0_57
    | spl0_33
    | ~ spl0_25
    | spl0_58 ),
    inference(avatar_split_clause,[],[f63,f459,f314,f348,f456]) ).

fof(f462,plain,
    ( spl0_35
    | spl0_54
    | ~ spl0_25
    | spl0_58 ),
    inference(avatar_split_clause,[],[f224,f459,f314,f444,f355]) ).

fof(f463,plain,
    ( spl0_36
    | spl0_50
    | ~ spl0_25
    | spl0_58 ),
    inference(avatar_split_clause,[],[f225,f459,f314,f422,f359]) ).

fof(f465,definition,
    ( spl0_59
  <=> ! [X12] :
        ( c2_1(X12)
        | ~ c3_1(X12)
        | ~ c1_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f466,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | ~ c3_1(X12)
        | c2_1(X12) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f468,definition,
    ( spl0_60
  <=> ! [X11] :
        ( c0_1(X11)
        | c3_1(X11)
        | c2_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f469,plain,
    ( ! [X11] :
        ( c2_1(X11)
        | c3_1(X11)
        | c0_1(X11) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f470,plain,
    ( spl0_17
    | spl0_59
    | ~ spl0_25
    | spl0_60 ),
    inference(avatar_split_clause,[],[f226,f468,f314,f465,f286]) ).

fof(f472,definition,
    ( spl0_61
  <=> ! [X10] :
        ( c2_1(X10)
        | ~ c1_1(X10)
        | c3_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f473,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c2_1(X10)
        | c3_1(X10) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f474,plain,
    ( spl0_61
    | spl0_54
    | ~ spl0_25
    | spl0_60 ),
    inference(avatar_split_clause,[],[f227,f468,f314,f444,f472]) ).

fof(f484,definition,
    ( spl0_64
  <=> ! [X4] :
        ( c0_1(X4)
        | c3_1(X4)
        | c1_1(X4) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X4] :
        ( c1_1(X4)
        | c3_1(X4)
        | c0_1(X4) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( spl0_27
    | spl0_33
    | ~ spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f70,f484,f314,f348,f321]) ).

fof(f487,plain,
    ( spl0_19
    | ~ spl0_25
    | spl0_64 ),
    inference(avatar_split_clause,[],[f71,f484,f314,f293]) ).

fof(f489,definition,
    ( spl0_65
  <=> ! [X2] :
        ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f490,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c0_1(X2) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f492,plain,
    ( spl0_18
    | spl0_42
    | ~ spl0_25
    | spl0_65 ),
    inference(avatar_split_clause,[],[f229,f489,f314,f385,f290]) ).

fof(f494,definition,
    ( spl0_66
  <=> c2_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f497,plain,
    ( spl0_66
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f74,f304,f494]) ).

fof(f499,definition,
    ( spl0_67
  <=> c1_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f500,plain,
    ( c1_1(a367)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f501,plain,
    ( spl0_67
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f75,f304,f499]) ).

fof(f503,definition,
    ( spl0_68
  <=> c0_1(a367) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f505,plain,
    ( spl0_68
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f76,f304,f503]) ).

fof(f523,definition,
    ( spl0_72
  <=> c3_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f526,plain,
    ( spl0_72
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f82,f359,f523]) ).

fof(f528,definition,
    ( spl0_73
  <=> c2_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f529,plain,
    ( c2_1(a301)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f530,plain,
    ( spl0_73
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f83,f359,f528]) ).

fof(f532,definition,
    ( spl0_74
  <=> c0_1(a301) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f534,plain,
    ( spl0_74
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f84,f359,f532]) ).

fof(f537,definition,
    ( spl0_75
  <=> c3_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f540,plain,
    ( spl0_75
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f86,f321,f537]) ).

fof(f542,definition,
    ( spl0_76
  <=> c2_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f543,plain,
    ( c2_1(a296)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f544,plain,
    ( spl0_76
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f87,f321,f542]) ).

fof(f546,definition,
    ( spl0_77
  <=> c1_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f547,plain,
    ( c1_1(a296)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f548,plain,
    ( spl0_77
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f88,f321,f546]) ).

fof(f551,definition,
    ( spl0_78
  <=> c2_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f554,plain,
    ( ~ spl0_78
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f90,f301,f551]) ).

fof(f556,definition,
    ( spl0_79
  <=> c0_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f558,plain,
    ( ~ spl0_79
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f91,f301,f556]) ).

fof(f560,definition,
    ( spl0_80
  <=> c1_1(a368) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f561,plain,
    ( c1_1(a368)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f562,plain,
    ( spl0_80
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f92,f301,f560]) ).

fof(f565,definition,
    ( spl0_81
  <=> c3_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f568,plain,
    ( ~ spl0_81
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f94,f234,f565]) ).

fof(f570,definition,
    ( spl0_82
  <=> c1_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f571,plain,
    ( ~ c1_1(a359)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f572,plain,
    ( ~ spl0_82
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f95,f234,f570]) ).

fof(f574,definition,
    ( spl0_83
  <=> c0_1(a359) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f576,plain,
    ( ~ spl0_83
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f96,f234,f574]) ).

fof(f577,plain,
    ( spl0_25
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f97,f234,f314]) ).

fof(f593,definition,
    ( spl0_87
  <=> c3_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f596,plain,
    ( ~ spl0_87
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f102,f247,f593]) ).

fof(f598,definition,
    ( spl0_88
  <=> c0_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f600,plain,
    ( ~ spl0_88
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f103,f247,f598]) ).

fof(f602,definition,
    ( spl0_89
  <=> c1_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f603,plain,
    ( c1_1(a341)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f604,plain,
    ( spl0_89
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f104,f247,f602]) ).

fof(f607,definition,
    ( spl0_90
  <=> c2_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f608,plain,
    ( ~ c2_1(a337)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f610,plain,
    ( ~ spl0_90
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f106,f257,f607]) ).

fof(f612,definition,
    ( spl0_91
  <=> c3_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f614,plain,
    ( spl0_91
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f107,f257,f612]) ).

fof(f616,definition,
    ( spl0_92
  <=> c1_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f617,plain,
    ( c1_1(a337)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f618,plain,
    ( spl0_92
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f108,f257,f616]) ).

fof(f621,definition,
    ( spl0_93
  <=> c3_1(a331) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f624,plain,
    ( ~ spl0_93
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f110,f261,f621]) ).

fof(f626,definition,
    ( spl0_94
  <=> c2_1(a331) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f627,plain,
    ( ~ c2_1(a331)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f628,plain,
    ( ~ spl0_94
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f111,f261,f626]) ).

fof(f630,definition,
    ( spl0_95
  <=> c1_1(a331) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f631,plain,
    ( ~ c1_1(a331)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f632,plain,
    ( ~ spl0_95
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f112,f261,f630]) ).

fof(f635,definition,
    ( spl0_96
  <=> c2_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f636,plain,
    ( ~ c2_1(a330)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f638,plain,
    ( ~ spl0_96
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f114,f237,f635]) ).

fof(f640,definition,
    ( spl0_97
  <=> c0_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f642,plain,
    ( ~ spl0_97
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f115,f237,f640]) ).

fof(f644,definition,
    ( spl0_98
  <=> c3_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f646,plain,
    ( spl0_98
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f116,f237,f644]) ).

fof(f647,plain,
    ( spl0_25
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f117,f237,f314]) ).

fof(f649,definition,
    ( spl0_99
  <=> c2_1(a329) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f650,plain,
    ( ~ c2_1(a329)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f652,plain,
    ( ~ spl0_99
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f118,f241,f649]) ).

fof(f654,definition,
    ( spl0_100
  <=> c1_1(a329) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f655,plain,
    ( ~ c1_1(a329)
    | spl0_100 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f656,plain,
    ( ~ spl0_100
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f119,f241,f654]) ).

fof(f658,definition,
    ( spl0_101
  <=> c0_1(a329) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f660,plain,
    ( ~ spl0_101
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f120,f241,f658]) ).

fof(f677,definition,
    ( spl0_105
  <=> c3_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f680,plain,
    ( ~ spl0_105
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f126,f283,f677]) ).

fof(f682,definition,
    ( spl0_106
  <=> c1_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f683,plain,
    ( ~ c1_1(a325)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f684,plain,
    ( ~ spl0_106
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f127,f283,f682]) ).

fof(f686,definition,
    ( spl0_107
  <=> c0_1(a325) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f688,plain,
    ( spl0_107
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f128,f283,f686]) ).

fof(f691,definition,
    ( spl0_108
  <=> c3_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f694,plain,
    ( ~ spl0_108
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f130,f231,f691]) ).

fof(f696,definition,
    ( spl0_109
  <=> c2_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f697,plain,
    ( ~ c2_1(a323)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f696]) ).

fof(f698,plain,
    ( ~ spl0_109
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f131,f231,f696]) ).

fof(f700,definition,
    ( spl0_110
  <=> c0_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f702,plain,
    ( ~ spl0_110
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f231,f700]) ).

fof(f703,plain,
    ( spl0_25
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f231,f314]) ).

fof(f705,definition,
    ( spl0_111
  <=> c3_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f708,plain,
    ( ~ spl0_111
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f134,f264,f705]) ).

fof(f710,definition,
    ( spl0_112
  <=> c0_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f712,plain,
    ( ~ spl0_112
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f135,f264,f710]) ).

fof(f714,definition,
    ( spl0_113
  <=> c2_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f715,plain,
    ( c2_1(a315)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f716,plain,
    ( spl0_113
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f136,f264,f714]) ).

fof(f719,definition,
    ( spl0_114
  <=> c3_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f722,plain,
    ( ~ spl0_114
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f138,f362,f719]) ).

fof(f724,definition,
    ( spl0_115
  <=> c1_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f725,plain,
    ( c1_1(a311)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f726,plain,
    ( spl0_115
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f139,f362,f724]) ).

fof(f728,definition,
    ( spl0_116
  <=> c0_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f730,plain,
    ( spl0_116
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f140,f362,f728]) ).

fof(f747,definition,
    ( spl0_120
  <=> c2_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f748,plain,
    ( ~ c2_1(a308)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f750,plain,
    ( ~ spl0_120
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f146,f271,f747]) ).

fof(f752,definition,
    ( spl0_121
  <=> c1_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f753,plain,
    ( ~ c1_1(a308)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f754,plain,
    ( ~ spl0_121
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f147,f271,f752]) ).

fof(f756,definition,
    ( spl0_122
  <=> c0_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f758,plain,
    ( spl0_122
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f148,f271,f756]) ).

fof(f761,definition,
    ( spl0_123
  <=> c3_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f764,plain,
    ( ~ spl0_123
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f150,f254,f761]) ).

fof(f766,definition,
    ( spl0_124
  <=> c1_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f767,plain,
    ( ~ c1_1(a307)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f768,plain,
    ( ~ spl0_124
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f151,f254,f766]) ).

fof(f770,definition,
    ( spl0_125
  <=> c2_1(a307) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f772,plain,
    ( spl0_125
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f152,f254,f770]) ).

fof(f775,definition,
    ( spl0_126
  <=> c0_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f778,plain,
    ( ~ spl0_126
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f154,f311,f775]) ).

fof(f780,definition,
    ( spl0_127
  <=> c3_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f782,plain,
    ( spl0_127
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f155,f311,f780]) ).

fof(f784,definition,
    ( spl0_128
  <=> c1_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f785,plain,
    ( c1_1(a306)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f786,plain,
    ( spl0_128
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f156,f311,f784]) ).

fof(f817,definition,
    ( spl0_135
  <=> c1_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f818,plain,
    ( ~ c1_1(a300)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f820,plain,
    ( ~ spl0_135
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f166,f286,f817]) ).

fof(f822,definition,
    ( spl0_136
  <=> c3_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f824,plain,
    ( spl0_136
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f167,f286,f822]) ).

fof(f826,definition,
    ( spl0_137
  <=> c0_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f828,plain,
    ( spl0_137
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f168,f286,f826]) ).

fof(f831,definition,
    ( spl0_138
  <=> c2_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f832,plain,
    ( ~ c2_1(a299)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( ~ spl0_138
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f170,f278,f831]) ).

fof(f836,definition,
    ( spl0_139
  <=> c3_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f838,plain,
    ( spl0_139
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f171,f278,f836]) ).

fof(f840,definition,
    ( spl0_140
  <=> c0_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f842,plain,
    ( spl0_140
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f172,f278,f840]) ).

fof(f850,definition,
    ( spl0_142
  <=> c0_1(a298) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f852,plain,
    ( ~ spl0_142
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f175,f456,f850]) ).

fof(f854,definition,
    ( spl0_143
  <=> c2_1(a298) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f855,plain,
    ( c2_1(a298)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f856,plain,
    ( spl0_143
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f176,f456,f854]) ).

fof(f859,definition,
    ( spl0_144
  <=> c0_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f862,plain,
    ( ~ spl0_144
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f178,f267,f859]) ).

fof(f864,definition,
    ( spl0_145
  <=> c2_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f865,plain,
    ( c2_1(a297)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f866,plain,
    ( spl0_145
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f179,f267,f864]) ).

fof(f868,definition,
    ( spl0_146
  <=> c1_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f869,plain,
    ( c1_1(a297)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f870,plain,
    ( spl0_146
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f180,f267,f868]) ).

fof(f873,definition,
    ( spl0_147
  <=> c3_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f876,plain,
    ( ~ spl0_147
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f182,f348,f873]) ).

fof(f878,definition,
    ( spl0_148
  <=> c2_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ c2_1(a295)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f880,plain,
    ( ~ spl0_148
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f183,f348,f878]) ).

fof(f882,definition,
    ( spl0_149
  <=> c0_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f884,plain,
    ( spl0_149
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f184,f348,f882]) ).

fof(f887,definition,
    ( spl0_150
  <=> c1_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f888,plain,
    ( ~ c1_1(a294)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f890,plain,
    ( ~ spl0_150
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f186,f293,f887]) ).

fof(f892,definition,
    ( spl0_151
  <=> c2_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f893,plain,
    ( c2_1(a294)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f894,plain,
    ( spl0_151
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f187,f293,f892]) ).

fof(f896,definition,
    ( spl0_152
  <=> c0_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f898,plain,
    ( spl0_152
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f188,f293,f896]) ).

fof(f915,definition,
    ( spl0_156
  <=> c1_1(a292) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f916,plain,
    ( ~ c1_1(a292)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f918,plain,
    ( ~ spl0_156
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f194,f275,f915]) ).

fof(f920,definition,
    ( spl0_157
  <=> c3_1(a292) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f922,plain,
    ( spl0_157
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f195,f275,f920]) ).

fof(f924,definition,
    ( spl0_158
  <=> c2_1(a292) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f925,plain,
    ( c2_1(a292)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f926,plain,
    ( spl0_158
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f196,f275,f924]) ).

fof(f929,definition,
    ( spl0_159
  <=> c3_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f932,plain,
    ( ~ spl0_159
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f198,f290,f929]) ).

fof(f934,definition,
    ( spl0_160
  <=> c2_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f936,plain,
    ( ~ spl0_160
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f199,f290,f934]) ).

fof(f938,definition,
    ( spl0_161
  <=> c1_1(a291) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f939,plain,
    ( c1_1(a291)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f940,plain,
    ( spl0_161
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f200,f290,f938]) ).

fof(f953,definition,
    ( spl0_163
  <=> c0_1(a337) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f977,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(resolution,[],[f356,f325]) ).

fof(f981,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(duplicate_literal_removal,[],[f977]) ).

fof(f1005,definition,
    ( spl0_165
  <=> c3_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1010,plain,
    ( ~ c3_1(a308)
    | c2_1(a308)
    | ~ spl0_44
    | spl0_121 ),
    inference(resolution,[],[f393,f753]) ).

fof(f1012,plain,
    ( ~ c3_1(a329)
    | c2_1(a329)
    | ~ spl0_44
    | spl0_100 ),
    inference(resolution,[],[f393,f655]) ).

fof(f1017,definition,
    ( spl0_166
  <=> c3_1(a329) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1046,definition,
    ( spl0_168
  <=> c0_1(a296) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1050,plain,
    ( ~ c3_1(a296)
    | ~ c2_1(a296)
    | ~ spl0_45
    | ~ spl0_77 ),
    inference(resolution,[],[f547,f397]) ).

fof(f1052,plain,
    ( ~ spl0_76
    | ~ spl0_75
    | ~ spl0_45
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1050,f546,f396,f537,f542]) ).

fof(f1072,plain,
    ( ~ c3_1(a300)
    | ~ c2_1(a300)
    | ~ spl0_35
    | spl0_135 ),
    inference(resolution,[],[f818,f356]) ).

fof(f1074,definition,
    ( spl0_170
  <=> c2_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1075,plain,
    ( ~ c2_1(a300)
    | spl0_170 ),
    inference(avatar_component_clause,[],[f1074]) ).

fof(f1077,plain,
    ( ~ spl0_170
    | ~ spl0_136
    | ~ spl0_35
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1072,f817,f355,f822,f1074]) ).

fof(f1111,definition,
    ( spl0_172
  <=> c2_1(a311) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1112,plain,
    ( ~ c2_1(a311)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f1125,plain,
    ( c3_1(a311)
    | ~ c0_1(a311)
    | ~ spl0_31
    | ~ spl0_115 ),
    inference(resolution,[],[f340,f725]) ).

fof(f1133,plain,
    ( ~ spl0_116
    | spl0_114
    | ~ spl0_31
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1125,f724,f339,f719,f728]) ).

fof(f1144,plain,
    ( ~ c3_1(a337)
    | ~ c0_1(a337)
    | ~ spl0_32
    | spl0_90 ),
    inference(resolution,[],[f344,f608]) ).

fof(f1161,plain,
    ( c2_1(a311)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1111]) ).

fof(f1168,definition,
    ( spl0_173
  <=> c0_1(a292) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1178,plain,
    ( ~ c3_1(a296)
    | ~ c0_1(a296)
    | ~ spl0_26
    | ~ spl0_76 ),
    inference(resolution,[],[f318,f543]) ).

fof(f1179,plain,
    ( ~ c3_1(a301)
    | ~ c0_1(a301)
    | ~ spl0_26
    | ~ spl0_73 ),
    inference(resolution,[],[f318,f529]) ).

fof(f1180,plain,
    ( ~ spl0_74
    | ~ spl0_72
    | ~ spl0_26
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1179,f528,f317,f523,f532]) ).

fof(f1246,plain,
    ( ~ c2_1(a311)
    | ~ c0_1(a311)
    | ~ spl0_29
    | ~ spl0_115 ),
    inference(resolution,[],[f330,f725]) ).

fof(f1271,plain,
    ( c0_1(a315)
    | c3_1(a315)
    | ~ spl0_51
    | ~ spl0_113 ),
    inference(resolution,[],[f429,f715]) ).

fof(f1284,plain,
    ( ~ spl0_168
    | ~ spl0_75
    | ~ spl0_26
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1178,f542,f317,f537,f1046]) ).

fof(f1289,plain,
    ( c3_1(a308)
    | c2_1(a308)
    | ~ spl0_48
    | spl0_121 ),
    inference(resolution,[],[f753,f411]) ).

fof(f1297,definition,
    ( spl0_177
  <=> c3_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1302,plain,
    ( ~ c2_1(a297)
    | c3_1(a297)
    | ~ spl0_40
    | ~ spl0_146 ),
    inference(resolution,[],[f869,f376]) ).

fof(f1304,plain,
    ( spl0_177
    | ~ spl0_145
    | ~ spl0_40
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1302,f868,f375,f864,f1297]) ).

fof(f1359,plain,
    ( ~ spl0_170
    | ~ spl0_136
    | ~ spl0_35
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1072,f817,f355,f822,f1074]) ).

fof(f1368,plain,
    ( c0_1(a297)
    | c3_1(a297)
    | ~ spl0_53
    | ~ spl0_146 ),
    inference(resolution,[],[f440,f869]) ).

fof(f1379,plain,
    ( spl0_177
    | spl0_144
    | ~ spl0_53
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1368,f868,f439,f859,f1297]) ).

fof(f1380,plain,
    ( ~ c3_1(a292)
    | c0_1(a292)
    | ~ spl0_54
    | ~ spl0_158 ),
    inference(resolution,[],[f445,f925]) ).

fof(f1381,plain,
    ( ~ c3_1(a297)
    | c0_1(a297)
    | ~ spl0_54
    | ~ spl0_145 ),
    inference(resolution,[],[f445,f865]) ).

fof(f1384,plain,
    ( ~ c3_1(a296)
    | c0_1(a296)
    | ~ spl0_54
    | ~ spl0_76 ),
    inference(resolution,[],[f445,f543]) ).

fof(f1425,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_41
    | ~ spl0_53 ),
    inference(resolution,[],[f382,f440]) ).

fof(f1427,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_41 ),
    inference(resolution,[],[f382,f330]) ).

fof(f1439,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1427]) ).

fof(f1440,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_41
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1425]) ).

fof(f1450,plain,
    ( c0_1(a341)
    | c3_1(a341)
    | ~ spl0_53
    | ~ spl0_89 ),
    inference(resolution,[],[f603,f440]) ).

fof(f1456,definition,
    ( spl0_179
  <=> c2_1(a341) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1457,plain,
    ( ~ c2_1(a341)
    | spl0_179 ),
    inference(avatar_component_clause,[],[f1456]) ).

fof(f1460,plain,
    ( spl0_87
    | spl0_88
    | ~ spl0_53
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1450,f602,f439,f598,f593]) ).

fof(f1463,plain,
    ( ~ c2_1(a294)
    | ~ c0_1(a294)
    | ~ spl0_39
    | spl0_150 ),
    inference(resolution,[],[f888,f371]) ).

fof(f1465,plain,
    ( ~ c0_1(a294)
    | c3_1(a294)
    | ~ spl0_42
    | spl0_150 ),
    inference(resolution,[],[f888,f386]) ).

fof(f1467,definition,
    ( spl0_180
  <=> c3_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1470,plain,
    ( spl0_180
    | ~ spl0_152
    | ~ spl0_42
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1465,f887,f385,f896,f1467]) ).

fof(f1473,plain,
    ( ~ spl0_152
    | ~ spl0_151
    | ~ spl0_39
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1463,f887,f370,f892,f896]) ).

fof(f1476,plain,
    ( c3_1(a294)
    | ~ c0_1(a294)
    | ~ spl0_30
    | ~ spl0_151 ),
    inference(resolution,[],[f893,f335]) ).

fof(f1497,plain,
    ( ~ c2_1(a307)
    | c3_1(a307)
    | ~ spl0_41
    | spl0_124 ),
    inference(resolution,[],[f382,f767]) ).

fof(f1515,plain,
    ( ~ c0_1(a308)
    | c3_1(a308)
    | ~ spl0_46
    | spl0_120 ),
    inference(resolution,[],[f403,f748]) ).

fof(f1516,plain,
    ( ~ c0_1(a311)
    | c3_1(a311)
    | ~ spl0_46
    | spl0_172 ),
    inference(resolution,[],[f403,f1112]) ).

fof(f1525,plain,
    ( spl0_114
    | ~ spl0_116
    | ~ spl0_46
    | spl0_172 ),
    inference(avatar_split_clause,[],[f1516,f1111,f402,f728,f719]) ).

fof(f1541,plain,
    ( c0_1(a306)
    | c2_1(a306)
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f460,f785]) ).

fof(f1543,plain,
    ( c0_1(a341)
    | c2_1(a341)
    | ~ spl0_58
    | ~ spl0_89 ),
    inference(resolution,[],[f460,f603]) ).

fof(f1544,plain,
    ( c0_1(a368)
    | c2_1(a368)
    | ~ spl0_58
    | ~ spl0_80 ),
    inference(resolution,[],[f460,f561]) ).

fof(f1549,plain,
    ( spl0_78
    | spl0_79
    | ~ spl0_58
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1544,f560,f459,f556,f551]) ).

fof(f1553,definition,
    ( spl0_182
  <=> c2_1(a306) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1568,definition,
    ( spl0_183
  <=> c3_1(a298) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1582,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_35 ),
    inference(resolution,[],[f356,f330]) ).

fof(f1593,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_29
    | ~ spl0_35 ),
    inference(duplicate_literal_removal,[],[f1582]) ).

fof(f1605,plain,
    ( ~ c2_1(a297)
    | c0_1(a297)
    | ~ spl0_50
    | ~ spl0_146 ),
    inference(resolution,[],[f423,f869]) ).

fof(f1617,plain,
    ( spl0_144
    | ~ spl0_145
    | ~ spl0_50
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1605,f868,f422,f864,f859]) ).

fof(f1624,plain,
    ( c3_1(a331)
    | c2_1(a331)
    | ~ spl0_48
    | spl0_95 ),
    inference(resolution,[],[f631,f411]) ).

fof(f1628,definition,
    ( spl0_184
  <=> c0_1(a331) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1632,plain,
    ( spl0_94
    | spl0_93
    | ~ spl0_48
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1624,f630,f410,f621,f626]) ).

fof(f1636,plain,
    ( ~ spl0_163
    | ~ spl0_91
    | ~ spl0_32
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1144,f607,f343,f612,f953]) ).

fof(f1637,plain,
    ( spl0_51
    | ~ spl0_41
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1440,f439,f381,f428]) ).

fof(f1646,plain,
    ( ~ c3_1(a299)
    | ~ c0_1(a299)
    | ~ spl0_32
    | spl0_138 ),
    inference(resolution,[],[f344,f832]) ).

fof(f1647,plain,
    ( ~ c3_1(a300)
    | ~ c0_1(a300)
    | ~ spl0_32
    | spl0_170 ),
    inference(resolution,[],[f344,f1075]) ).

fof(f1649,plain,
    ( ~ c3_1(a308)
    | ~ c0_1(a308)
    | ~ spl0_32
    | spl0_120 ),
    inference(resolution,[],[f344,f748]) ).

fof(f1659,plain,
    ( ~ spl0_122
    | ~ spl0_165
    | ~ spl0_32
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1649,f747,f343,f1005,f756]) ).

fof(f1661,plain,
    ( ~ spl0_137
    | ~ spl0_136
    | ~ spl0_32
    | spl0_170 ),
    inference(avatar_split_clause,[],[f1647,f1074,f343,f822,f826]) ).

fof(f1664,plain,
    ( ~ spl0_140
    | ~ spl0_139
    | ~ spl0_32
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1646,f831,f343,f836,f840]) ).

fof(f1721,plain,
    ( spl0_120
    | ~ spl0_165
    | ~ spl0_44
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1010,f752,f392,f1005,f747]) ).

fof(f1722,plain,
    ( spl0_99
    | ~ spl0_166
    | ~ spl0_44
    | spl0_100 ),
    inference(avatar_split_clause,[],[f1012,f654,f392,f1017,f649]) ).

fof(f1729,plain,
    ( spl0_165
    | ~ spl0_122
    | ~ spl0_46
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1515,f747,f402,f756,f1005]) ).

fof(f1731,plain,
    ( spl0_120
    | spl0_165
    | ~ spl0_48
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1289,f752,f410,f1005,f747]) ).

fof(f1747,plain,
    ( ~ c3_1(a306)
    | ~ c2_1(a306)
    | ~ spl0_45
    | ~ spl0_128 ),
    inference(resolution,[],[f397,f785]) ).

fof(f1758,plain,
    ( ~ c0_1(a295)
    | c3_1(a295)
    | ~ spl0_46
    | spl0_148 ),
    inference(resolution,[],[f403,f879]) ).

fof(f1772,plain,
    ( spl0_147
    | ~ spl0_149
    | ~ spl0_46
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1758,f878,f402,f882,f873]) ).

fof(f1802,plain,
    ( ~ c3_1(a306)
    | c2_1(a306)
    | ~ spl0_59
    | ~ spl0_128 ),
    inference(resolution,[],[f466,f785]) ).

fof(f1804,plain,
    ( ~ c3_1(a337)
    | c2_1(a337)
    | ~ spl0_59
    | ~ spl0_92 ),
    inference(resolution,[],[f466,f617]) ).

fof(f1840,plain,
    ( c3_1(a311)
    | ~ c0_1(a311)
    | ~ spl0_30
    | ~ spl0_172 ),
    inference(resolution,[],[f1161,f335]) ).

fof(f1841,plain,
    ( ~ spl0_116
    | spl0_114
    | ~ spl0_30
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1840,f1111,f334,f719,f728]) ).

fof(f1845,plain,
    ( ~ spl0_116
    | ~ spl0_172
    | ~ spl0_29
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1246,f724,f329,f1111,f728]) ).

fof(f1938,plain,
    ( ~ c0_1(a308)
    | c3_1(a308)
    | ~ spl0_42
    | spl0_121 ),
    inference(resolution,[],[f386,f753]) ).

fof(f1939,plain,
    ( ~ c0_1(a325)
    | c3_1(a325)
    | ~ spl0_42
    | spl0_106 ),
    inference(resolution,[],[f386,f683]) ).

fof(f1941,plain,
    ( ~ c0_1(a331)
    | c3_1(a331)
    | ~ spl0_42
    | spl0_95 ),
    inference(resolution,[],[f386,f631]) ).

fof(f1945,plain,
    ( spl0_93
    | ~ spl0_184
    | ~ spl0_42
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1941,f630,f385,f1628,f621]) ).

fof(f1974,plain,
    ( c0_1(a337)
    | c2_1(a337)
    | ~ spl0_58
    | ~ spl0_92 ),
    inference(resolution,[],[f460,f617]) ).

fof(f1993,plain,
    ( ~ c3_1(a294)
    | ~ c0_1(a294)
    | ~ spl0_26
    | ~ spl0_151 ),
    inference(resolution,[],[f893,f318]) ).

fof(f1994,plain,
    ( ~ spl0_152
    | ~ spl0_180
    | ~ spl0_26
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1993,f892,f317,f1467,f896]) ).

fof(f2004,plain,
    ( ~ c0_1(a331)
    | c3_1(a331)
    | ~ spl0_46
    | spl0_94 ),
    inference(resolution,[],[f403,f627]) ).

fof(f2009,plain,
    ( spl0_93
    | ~ spl0_184
    | ~ spl0_46
    | spl0_94 ),
    inference(avatar_split_clause,[],[f2004,f626,f402,f1628,f621]) ).

fof(f2016,plain,
    ( ~ c3_1(a337)
    | c0_1(a337)
    | ~ spl0_49
    | ~ spl0_92 ),
    inference(resolution,[],[f416,f617]) ).

fof(f2018,plain,
    ( spl0_163
    | ~ spl0_91
    | ~ spl0_49
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2016,f616,f415,f612,f953]) ).

fof(f2027,plain,
    ( ~ c3_1(a330)
    | c0_1(a330)
    | ~ spl0_56
    | spl0_96 ),
    inference(resolution,[],[f452,f636]) ).

fof(f2037,plain,
    ( spl0_97
    | ~ spl0_98
    | ~ spl0_56
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2027,f635,f451,f644,f640]) ).

fof(f2044,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(resolution,[],[f356,f416]) ).

fof(f2051,plain,
    ( ~ c3_1(a294)
    | ~ c2_1(a294)
    | ~ spl0_35
    | spl0_150 ),
    inference(resolution,[],[f356,f888]) ).

fof(f2062,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f2044]) ).

fof(f2064,plain,
    ( ~ spl0_151
    | ~ spl0_180
    | ~ spl0_35
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2051,f887,f355,f1467,f892]) ).

fof(f2066,plain,
    ( spl0_54
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f2062,f415,f355,f444]) ).

fof(f2070,plain,
    ( ~ c3_1(a298)
    | c0_1(a298)
    | ~ spl0_54
    | ~ spl0_143 ),
    inference(resolution,[],[f445,f855]) ).

fof(f2082,plain,
    ( c2_1(a291)
    | c3_1(a291)
    | ~ spl0_61
    | ~ spl0_161 ),
    inference(resolution,[],[f473,f939]) ).

fof(f2090,plain,
    ( spl0_159
    | spl0_160
    | ~ spl0_61
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2082,f938,f472,f934,f929]) ).

fof(f2119,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_58
    | ~ spl0_64 ),
    inference(resolution,[],[f485,f460]) ).

fof(f2121,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_50
    | ~ spl0_64 ),
    inference(resolution,[],[f485,f423]) ).

fof(f2130,plain,
    ( c3_1(a329)
    | c0_1(a329)
    | ~ spl0_64
    | spl0_100 ),
    inference(resolution,[],[f485,f655]) ).

fof(f2131,plain,
    ( c3_1(a331)
    | c0_1(a331)
    | ~ spl0_64
    | spl0_95 ),
    inference(resolution,[],[f485,f631]) ).

fof(f2133,plain,
    ( c3_1(a359)
    | c0_1(a359)
    | ~ spl0_64
    | spl0_82 ),
    inference(resolution,[],[f485,f571]) ).

fof(f2134,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_50
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f2121]) ).

fof(f2136,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_58
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f2119]) ).

fof(f2138,plain,
    ( spl0_83
    | spl0_81
    | ~ spl0_64
    | spl0_82 ),
    inference(avatar_split_clause,[],[f2133,f570,f484,f565,f574]) ).

fof(f2139,plain,
    ( spl0_184
    | spl0_93
    | ~ spl0_64
    | spl0_95 ),
    inference(avatar_split_clause,[],[f2131,f630,f484,f621,f1628]) ).

fof(f2140,plain,
    ( spl0_101
    | spl0_166
    | ~ spl0_64
    | spl0_100 ),
    inference(avatar_split_clause,[],[f2130,f654,f484,f1017,f658]) ).

fof(f2142,plain,
    ( spl0_51
    | ~ spl0_50
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2134,f484,f422,f428]) ).

fof(f2143,plain,
    ( spl0_60
    | ~ spl0_58
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2136,f484,f459,f468]) ).

fof(f2157,plain,
    ( spl0_111
    | spl0_112
    | ~ spl0_51
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1271,f714,f428,f710,f705]) ).

fof(f2180,plain,
    ( ~ c2_1(a341)
    | c0_1(a341)
    | ~ spl0_50
    | ~ spl0_89 ),
    inference(resolution,[],[f603,f423]) ).

fof(f2181,plain,
    ( spl0_88
    | ~ spl0_179
    | ~ spl0_50
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2180,f602,f422,f1456,f598]) ).

fof(f2184,plain,
    ( ~ c2_1(a306)
    | c0_1(a306)
    | ~ spl0_50
    | ~ spl0_128 ),
    inference(resolution,[],[f785,f423]) ).

fof(f2185,plain,
    ( spl0_126
    | ~ spl0_182
    | ~ spl0_50
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2184,f784,f422,f1553,f775]) ).

fof(f2193,plain,
    ( ~ c3_1(a337)
    | ~ c0_1(a337)
    | ~ spl0_28
    | ~ spl0_92 ),
    inference(resolution,[],[f325,f617]) ).

fof(f2200,plain,
    ( ~ c3_1(a292)
    | ~ c0_1(a292)
    | ~ spl0_38
    | spl0_156 ),
    inference(resolution,[],[f366,f916]) ).

fof(f2202,plain,
    ( ~ c3_1(a294)
    | ~ c0_1(a294)
    | ~ spl0_38
    | spl0_150 ),
    inference(resolution,[],[f366,f888]) ).

fof(f2203,plain,
    ( ~ c3_1(a300)
    | ~ c0_1(a300)
    | ~ spl0_38
    | spl0_135 ),
    inference(resolution,[],[f366,f818]) ).

fof(f2205,plain,
    ( ~ c3_1(a308)
    | ~ c0_1(a308)
    | ~ spl0_38
    | spl0_121 ),
    inference(resolution,[],[f366,f753]) ).

fof(f2216,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_40
    | ~ spl0_64 ),
    inference(resolution,[],[f376,f485]) ).

fof(f2224,plain,
    ( ~ c2_1(a341)
    | c3_1(a341)
    | ~ spl0_40
    | ~ spl0_89 ),
    inference(resolution,[],[f376,f603]) ).

fof(f2226,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_40
    | ~ spl0_64 ),
    inference(duplicate_literal_removal,[],[f2216]) ).

fof(f2230,plain,
    ( spl0_51
    | ~ spl0_40
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f2226,f484,f375,f428]) ).

fof(f2232,plain,
    ( c0_1(a298)
    | c3_1(a298)
    | ~ spl0_51
    | ~ spl0_143 ),
    inference(resolution,[],[f429,f855]) ).

fof(f2236,plain,
    ( spl0_183
    | spl0_142
    | ~ spl0_51
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2232,f854,f428,f850,f1568]) ).

fof(f2248,plain,
    ( c3_1(a323)
    | c0_1(a323)
    | ~ spl0_60
    | spl0_109 ),
    inference(resolution,[],[f469,f697]) ).

fof(f2250,plain,
    ( c3_1(a329)
    | c0_1(a329)
    | ~ spl0_60
    | spl0_99 ),
    inference(resolution,[],[f469,f650]) ).

fof(f2262,plain,
    ( spl0_101
    | spl0_166
    | ~ spl0_60
    | spl0_99 ),
    inference(avatar_split_clause,[],[f2250,f649,f468,f1017,f658]) ).

fof(f2292,plain,
    ( c2_1(a329)
    | c0_1(a329)
    | ~ spl0_65
    | spl0_100 ),
    inference(resolution,[],[f490,f655]) ).

fof(f2298,plain,
    ( spl0_101
    | spl0_99
    | ~ spl0_65
    | spl0_100 ),
    inference(avatar_split_clause,[],[f2292,f654,f489,f649,f658]) ).

fof(f2304,plain,
    ( c3_1(a341)
    | c0_1(a341)
    | ~ spl0_60
    | spl0_179 ),
    inference(resolution,[],[f1457,f469]) ).

fof(f2305,plain,
    ( spl0_88
    | spl0_87
    | ~ spl0_60
    | spl0_179 ),
    inference(avatar_split_clause,[],[f2304,f1456,f468,f593,f598]) ).

fof(f2306,plain,
    ( spl0_30
    | ~ spl0_29
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1439,f381,f329,f334]) ).

fof(f2309,plain,
    ( spl0_123
    | ~ spl0_125
    | ~ spl0_41
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1497,f766,f381,f770,f761]) ).

fof(f2310,plain,
    ( spl0_182
    | ~ spl0_127
    | ~ spl0_59
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1802,f784,f465,f780,f1553]) ).

fof(f2311,plain,
    ( spl0_90
    | ~ spl0_91
    | ~ spl0_59
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1804,f616,f465,f612,f607]) ).

fof(f2319,plain,
    ( ~ spl0_152
    | spl0_180
    | ~ spl0_30
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1476,f892,f334,f1467,f896]) ).

fof(f2329,plain,
    ( spl0_165
    | ~ spl0_122
    | ~ spl0_42
    | spl0_121 ),
    inference(avatar_split_clause,[],[f1938,f752,f385,f756,f1005]) ).

fof(f2330,plain,
    ( spl0_105
    | ~ spl0_107
    | ~ spl0_42
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1939,f682,f385,f686,f677]) ).

fof(f2341,plain,
    ( spl0_110
    | spl0_108
    | ~ spl0_60
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2248,f696,f468,f691,f700]) ).

fof(f2347,plain,
    ( spl0_26
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f981,f355,f324,f317]) ).

fof(f2348,plain,
    ( spl0_26
    | ~ spl0_29
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f1593,f355,f329,f317]) ).

fof(f2355,plain,
    ( spl0_87
    | ~ spl0_179
    | ~ spl0_40
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2224,f602,f375,f1456,f593]) ).

fof(f2360,plain,
    ( spl0_87
    | spl0_88
    | ~ spl0_53
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1450,f602,f439,f598,f593]) ).

fof(f2366,plain,
    ( spl0_182
    | spl0_126
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1541,f784,f459,f775,f1553]) ).

fof(f2367,plain,
    ( spl0_179
    | spl0_88
    | ~ spl0_58
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1543,f602,f459,f598,f1456]) ).

fof(f2370,plain,
    ( spl0_90
    | spl0_163
    | ~ spl0_58
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f1974,f616,f459,f953,f607]) ).

fof(f2382,plain,
    ( c0_1(a297)
    | c3_1(a297)
    | ~ spl0_51
    | ~ spl0_145 ),
    inference(resolution,[],[f865,f429]) ).

fof(f2394,plain,
    ( ~ c2_1(a367)
    | ~ c0_1(a367)
    | ~ spl0_29
    | ~ spl0_67 ),
    inference(resolution,[],[f330,f500]) ).

fof(f2395,plain,
    ( ~ spl0_68
    | ~ spl0_66
    | ~ spl0_29
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2394,f499,f329,f494,f503]) ).

fof(f2405,plain,
    ( ~ spl0_163
    | ~ spl0_91
    | ~ spl0_28
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2193,f616,f324,f612,f953]) ).

fof(f2410,plain,
    ( ~ spl0_173
    | ~ spl0_157
    | ~ spl0_38
    | spl0_156 ),
    inference(avatar_split_clause,[],[f2200,f915,f365,f920,f1168]) ).

fof(f2411,plain,
    ( ~ spl0_152
    | ~ spl0_180
    | ~ spl0_38
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2202,f887,f365,f1467,f896]) ).

fof(f2412,plain,
    ( ~ spl0_137
    | ~ spl0_136
    | ~ spl0_38
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2203,f817,f365,f822,f826]) ).

fof(f2413,plain,
    ( ~ spl0_122
    | ~ spl0_165
    | ~ spl0_38
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2205,f752,f365,f1005,f756]) ).

fof(f2417,plain,
    ( ~ spl0_182
    | ~ spl0_127
    | ~ spl0_45
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1747,f784,f396,f780,f1553]) ).

fof(f2420,plain,
    ( spl0_173
    | ~ spl0_157
    | ~ spl0_54
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1380,f924,f444,f920,f1168]) ).

fof(f2421,plain,
    ( spl0_144
    | ~ spl0_177
    | ~ spl0_54
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1381,f864,f444,f1297,f859]) ).

fof(f2423,plain,
    ( spl0_168
    | ~ spl0_75
    | ~ spl0_54
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1384,f542,f444,f537,f1046]) ).

fof(f2425,plain,
    ( spl0_142
    | ~ spl0_183
    | ~ spl0_54
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2070,f854,f444,f1568,f850]) ).

fof(f2436,plain,
    ( spl0_177
    | spl0_144
    | ~ spl0_51
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2382,f864,f428,f859,f1297]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f239]) ).

cnf(s4,plain,
    ( spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f269]) ).

cnf(s8,plain,
    ( spl0_13
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f288]) ).

cnf(s11,plain,
    ( spl0_6
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f306]) ).

cnf(s14,plain,
    ( spl0_17
    | ~ spl0_25
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f327]) ).

cnf(s15,plain,
    ( spl0_9
    | ~ spl0_25
    | spl0_29 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s16,plain,
    ( spl0_2
    | spl0_19
    | ~ spl0_25
    | spl0_29 ),
    inference(sat_conversion,[],[f332]) ).

cnf(s17,plain,
    ( spl0_4
    | ~ spl0_25
    | spl0_30 ),
    inference(sat_conversion,[],[f336]) ).

cnf(s21,plain,
    ( spl0_3
    | ~ spl0_25
    | spl0_26
    | spl0_32 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s23,plain,
    ( spl0_14
    | ~ spl0_25
    | spl0_31
    | spl0_35 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s24,plain,
    ( ~ spl0_25
    | spl0_36
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f367]) ).

cnf(s26,plain,
    ( spl0_3
    | spl0_11
    | ~ spl0_25
    | spl0_39 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s27,plain,
    ( spl0_6
    | spl0_11
    | ~ spl0_25
    | spl0_39 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s29,plain,
    ( spl0_15
    | ~ spl0_25
    | spl0_31
    | spl0_39 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s30,plain,
    ( spl0_11
    | ~ spl0_25
    | spl0_38
    | spl0_39 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s31,plain,
    ( spl0_9
    | spl0_17
    | ~ spl0_25
    | spl0_41 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s32,plain,
    ( ~ spl0_25
    | spl0_27
    | spl0_37
    | spl0_42 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s34,plain,
    ( ~ spl0_25
    | spl0_40
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s35,plain,
    ( spl0_10
    | ~ spl0_25
    | spl0_30
    | spl0_44 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s36,plain,
    ( spl0_3
    | ~ spl0_25
    | spl0_30
    | spl0_44 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s37,plain,
    ( spl0_4
    | ~ spl0_25
    | spl0_44
    | spl0_46 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s40,plain,
    ( spl0_19
    | ~ spl0_25
    | spl0_42
    | spl0_48 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s41,plain,
    ( spl0_1
    | spl0_24
    | ~ spl0_25
    | spl0_49 ),
    inference(sat_conversion,[],[f417]) ).

cnf(s44,plain,
    ( ~ spl0_25
    | spl0_33
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s45,plain,
    ( spl0_24
    | ~ spl0_25
    | spl0_33
    | spl0_50 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s46,plain,
    ( spl0_11
    | spl0_13
    | ~ spl0_25
    | spl0_50 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s47,plain,
    ( spl0_15
    | ~ spl0_25
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s48,plain,
    ( spl0_17
    | ~ spl0_25
    | spl0_37
    | spl0_51 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s49,plain,
    ( spl0_12
    | ~ spl0_25
    | spl0_26
    | spl0_51 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s51,plain,
    ( ~ spl0_25
    | spl0_32
    | spl0_46
    | spl0_51 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s52,plain,
    ( spl0_13
    | ~ spl0_25
    | spl0_42
    | spl0_51 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s53,plain,
    ( spl0_8
    | spl0_24
    | ~ spl0_25
    | spl0_53 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s54,plain,
    ( ~ spl0_25
    | spl0_35
    | spl0_38
    | spl0_53 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s55,plain,
    ( ~ spl0_25
    | spl0_51
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f446]) ).

cnf(s57,plain,
    ( ~ spl0_25
    | spl0_35
    | spl0_41
    | spl0_56 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s58,plain,
    ( ~ spl0_25
    | spl0_33
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s59,plain,
    ( ~ spl0_25
    | spl0_35
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s60,plain,
    ( ~ spl0_25
    | spl0_36
    | spl0_50
    | spl0_58 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s61,plain,
    ( spl0_17
    | ~ spl0_25
    | spl0_59
    | spl0_60 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s62,plain,
    ( ~ spl0_25
    | spl0_54
    | spl0_60
    | spl0_61 ),
    inference(sat_conversion,[],[f474]) ).

cnf(s65,plain,
    ( ~ spl0_25
    | spl0_27
    | spl0_33
    | spl0_64 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s66,plain,
    ( spl0_19
    | ~ spl0_25
    | spl0_64 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s68,plain,
    ( spl0_18
    | ~ spl0_25
    | spl0_42
    | spl0_65 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s69,plain,
    ( ~ spl0_22
    | spl0_66 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s70,plain,
    ( ~ spl0_22
    | spl0_67 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s71,plain,
    ( ~ spl0_22
    | spl0_68 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s77,plain,
    ( ~ spl0_36
    | spl0_72 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s78,plain,
    ( ~ spl0_36
    | spl0_73 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s79,plain,
    ( ~ spl0_36
    | spl0_74 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s81,plain,
    ( ~ spl0_27
    | spl0_75 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s82,plain,
    ( ~ spl0_27
    | spl0_76 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s83,plain,
    ( ~ spl0_27
    | spl0_77 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s85,plain,
    ( ~ spl0_21
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f554]) ).

cnf(s86,plain,
    ( ~ spl0_21
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s87,plain,
    ( ~ spl0_21
    | spl0_80 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s89,plain,
    ( ~ spl0_2
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f568]) ).

cnf(s90,plain,
    ( ~ spl0_2
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s91,plain,
    ( ~ spl0_2
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s92,plain,
    ( ~ spl0_2
    | spl0_25 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s97,plain,
    ( ~ spl0_6
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f596]) ).

cnf(s98,plain,
    ( ~ spl0_6
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s99,plain,
    ( ~ spl0_6
    | spl0_89 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s101,plain,
    ( ~ spl0_9
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s102,plain,
    ( ~ spl0_9
    | spl0_91 ),
    inference(sat_conversion,[],[f614]) ).

cnf(s103,plain,
    ( ~ spl0_9
    | spl0_92 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s105,plain,
    ( ~ spl0_10
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s106,plain,
    ( ~ spl0_10
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s107,plain,
    ( ~ spl0_10
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s109,plain,
    ( ~ spl0_3
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s110,plain,
    ( ~ spl0_3
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s111,plain,
    ( ~ spl0_3
    | spl0_98 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s112,plain,
    ( ~ spl0_3
    | spl0_25 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s113,plain,
    ( ~ spl0_4
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s114,plain,
    ( ~ spl0_4
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s115,plain,
    ( ~ spl0_4
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s121,plain,
    ( ~ spl0_16
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s122,plain,
    ( ~ spl0_16
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s123,plain,
    ( ~ spl0_16
    | spl0_107 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s125,plain,
    ( ~ spl0_1
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s126,plain,
    ( ~ spl0_1
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f698]) ).

cnf(s127,plain,
    ( ~ spl0_1
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s128,plain,
    ( ~ spl0_1
    | spl0_25 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s129,plain,
    ( ~ spl0_11
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s130,plain,
    ( ~ spl0_11
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s131,plain,
    ( ~ spl0_11
    | spl0_113 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s133,plain,
    ( ~ spl0_37
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s134,plain,
    ( ~ spl0_37
    | spl0_115 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s135,plain,
    ( ~ spl0_37
    | spl0_116 ),
    inference(sat_conversion,[],[f730]) ).

cnf(s141,plain,
    ( ~ spl0_13
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s142,plain,
    ( ~ spl0_13
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s143,plain,
    ( ~ spl0_13
    | spl0_122 ),
    inference(sat_conversion,[],[f758]) ).

cnf(s145,plain,
    ( ~ spl0_8
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s146,plain,
    ( ~ spl0_8
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s147,plain,
    ( ~ spl0_8
    | spl0_125 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s149,plain,
    ( ~ spl0_24
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s150,plain,
    ( ~ spl0_24
    | spl0_127 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s151,plain,
    ( ~ spl0_24
    | spl0_128 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s161,plain,
    ( ~ spl0_17
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s162,plain,
    ( ~ spl0_17
    | spl0_136 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s163,plain,
    ( ~ spl0_17
    | spl0_137 ),
    inference(sat_conversion,[],[f828]) ).

cnf(s165,plain,
    ( ~ spl0_15
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s166,plain,
    ( ~ spl0_15
    | spl0_139 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s167,plain,
    ( ~ spl0_15
    | spl0_140 ),
    inference(sat_conversion,[],[f842]) ).

cnf(s170,plain,
    ( ~ spl0_57
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s171,plain,
    ( ~ spl0_57
    | spl0_143 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s173,plain,
    ( ~ spl0_12
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s174,plain,
    ( ~ spl0_12
    | spl0_145 ),
    inference(sat_conversion,[],[f866]) ).

cnf(s175,plain,
    ( ~ spl0_12
    | spl0_146 ),
    inference(sat_conversion,[],[f870]) ).

cnf(s177,plain,
    ( ~ spl0_33
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s178,plain,
    ( ~ spl0_33
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s179,plain,
    ( ~ spl0_33
    | spl0_149 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s181,plain,
    ( ~ spl0_19
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f890]) ).

cnf(s182,plain,
    ( ~ spl0_19
    | spl0_151 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s183,plain,
    ( ~ spl0_19
    | spl0_152 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s189,plain,
    ( ~ spl0_14
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f918]) ).

cnf(s190,plain,
    ( ~ spl0_14
    | spl0_157 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s191,plain,
    ( ~ spl0_14
    | spl0_158 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s193,plain,
    ( ~ spl0_18
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s194,plain,
    ( ~ spl0_18
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s195,plain,
    ( ~ spl0_18
    | spl0_161 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s211,plain,
    ( ~ spl0_45
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f1052]) ).

cnf(s216,plain,
    ( ~ spl0_35
    | spl0_135
    | ~ spl0_136
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s226,plain,
    ( ~ spl0_31
    | spl0_114
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1133]) ).

cnf(s237,plain,
    ( ~ spl0_26
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1180]) ).

cnf(s260,plain,
    ( ~ spl0_26
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1284]) ).

cnf(s266,plain,
    ( ~ spl0_40
    | ~ spl0_145
    | ~ spl0_146
    | spl0_177 ),
    inference(sat_conversion,[],[f1304]) ).

cnf(s277,plain,
    ( ~ spl0_35
    | spl0_135
    | ~ spl0_136
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1359]) ).

cnf(s282,plain,
    ( ~ spl0_53
    | spl0_144
    | ~ spl0_146
    | spl0_177 ),
    inference(sat_conversion,[],[f1379]) ).

cnf(s306,plain,
    ( ~ spl0_53
    | spl0_87
    | spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1460]) ).

cnf(s309,plain,
    ( ~ spl0_42
    | spl0_150
    | ~ spl0_152
    | spl0_180 ),
    inference(sat_conversion,[],[f1470]) ).

cnf(s311,plain,
    ( ~ spl0_39
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1473]) ).

cnf(s318,plain,
    ( ~ spl0_46
    | spl0_114
    | ~ spl0_116
    | spl0_172 ),
    inference(sat_conversion,[],[f1525]) ).

cnf(s322,plain,
    ( ~ spl0_58
    | spl0_78
    | spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f1549]) ).

cnf(s340,plain,
    ( ~ spl0_50
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1617]) ).

cnf(s345,plain,
    ( ~ spl0_48
    | spl0_93
    | spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f1632]) ).

cnf(s350,plain,
    ( ~ spl0_32
    | spl0_90
    | ~ spl0_91
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1636]) ).

cnf(s351,plain,
    ( ~ spl0_41
    | spl0_51
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s354,plain,
    ( ~ spl0_32
    | spl0_120
    | ~ spl0_122
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1659]) ).

cnf(s356,plain,
    ( ~ spl0_32
    | ~ spl0_136
    | ~ spl0_137
    | spl0_170 ),
    inference(sat_conversion,[],[f1661]) ).

cnf(s357,plain,
    ( ~ spl0_32
    | spl0_138
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1664]) ).

cnf(s378,plain,
    ( ~ spl0_44
    | spl0_120
    | spl0_121
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1721]) ).

cnf(s379,plain,
    ( ~ spl0_44
    | spl0_99
    | spl0_100
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1722]) ).

cnf(s386,plain,
    ( ~ spl0_46
    | spl0_120
    | ~ spl0_122
    | spl0_165 ),
    inference(sat_conversion,[],[f1729]) ).

cnf(s388,plain,
    ( ~ spl0_48
    | spl0_120
    | spl0_121
    | spl0_165 ),
    inference(sat_conversion,[],[f1731]) ).

cnf(s402,plain,
    ( ~ spl0_46
    | spl0_147
    | spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1772]) ).

cnf(s419,plain,
    ( ~ spl0_30
    | spl0_114
    | ~ spl0_116
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1841]) ).

cnf(s423,plain,
    ( ~ spl0_29
    | ~ spl0_115
    | ~ spl0_116
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1845]) ).

cnf(s469,plain,
    ( ~ spl0_42
    | spl0_93
    | spl0_95
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f1945]) ).

cnf(s489,plain,
    ( ~ spl0_26
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1994]) ).

cnf(s490,plain,
    ( ~ spl0_46
    | spl0_93
    | spl0_94
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f2009]) ).

cnf(s492,plain,
    ( ~ spl0_49
    | ~ spl0_91
    | ~ spl0_92
    | spl0_163 ),
    inference(sat_conversion,[],[f2018]) ).

cnf(s495,plain,
    ( ~ spl0_56
    | spl0_96
    | spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f2037]) ).

cnf(s505,plain,
    ( ~ spl0_35
    | spl0_150
    | ~ spl0_151
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f2064]) ).

cnf(s508,plain,
    ( ~ spl0_35
    | ~ spl0_49
    | spl0_54 ),
    inference(sat_conversion,[],[f2066]) ).

cnf(s513,plain,
    ( ~ spl0_61
    | spl0_159
    | spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s517,plain,
    ( ~ spl0_64
    | spl0_81
    | spl0_82
    | spl0_83 ),
    inference(sat_conversion,[],[f2138]) ).

cnf(s518,plain,
    ( ~ spl0_64
    | spl0_93
    | spl0_95
    | spl0_184 ),
    inference(sat_conversion,[],[f2139]) ).

cnf(s519,plain,
    ( ~ spl0_64
    | spl0_100
    | spl0_101
    | spl0_166 ),
    inference(sat_conversion,[],[f2140]) ).

cnf(s521,plain,
    ( ~ spl0_50
    | spl0_51
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f2142]) ).

cnf(s522,plain,
    ( ~ spl0_58
    | spl0_60
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f2143]) ).

cnf(s536,plain,
    ( ~ spl0_51
    | spl0_111
    | spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2157]) ).

cnf(s559,plain,
    ( ~ spl0_50
    | spl0_88
    | ~ spl0_89
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2181]) ).

cnf(s560,plain,
    ( ~ spl0_50
    | spl0_126
    | ~ spl0_128
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2185]) ).

cnf(s570,plain,
    ( ~ spl0_40
    | spl0_51
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f2230]) ).

cnf(s571,plain,
    ( ~ spl0_51
    | spl0_142
    | ~ spl0_143
    | spl0_183 ),
    inference(sat_conversion,[],[f2236]) ).

cnf(s575,plain,
    ( ~ spl0_60
    | spl0_99
    | spl0_101
    | spl0_166 ),
    inference(sat_conversion,[],[f2262]) ).

cnf(s580,plain,
    ( ~ spl0_65
    | spl0_99
    | spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f2298]) ).

cnf(s585,plain,
    ( ~ spl0_60
    | spl0_87
    | spl0_88
    | spl0_179 ),
    inference(sat_conversion,[],[f2305]) ).

cnf(s586,plain,
    ( ~ spl0_29
    | spl0_30
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f2306]) ).

cnf(s590,plain,
    ( ~ spl0_41
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2309]) ).

cnf(s591,plain,
    ( ~ spl0_59
    | ~ spl0_127
    | ~ spl0_128
    | spl0_182 ),
    inference(sat_conversion,[],[f2310]) ).

cnf(s592,plain,
    ( ~ spl0_59
    | spl0_90
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f2311]) ).

cnf(s600,plain,
    ( ~ spl0_30
    | ~ spl0_151
    | ~ spl0_152
    | spl0_180 ),
    inference(sat_conversion,[],[f2319]) ).

cnf(s615,plain,
    ( ~ spl0_42
    | spl0_121
    | ~ spl0_122
    | spl0_165 ),
    inference(sat_conversion,[],[f2329]) ).

cnf(s616,plain,
    ( ~ spl0_42
    | spl0_105
    | spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2330]) ).

cnf(s627,plain,
    ( ~ spl0_60
    | spl0_108
    | spl0_109
    | spl0_110 ),
    inference(sat_conversion,[],[f2341]) ).

cnf(s633,plain,
    ( spl0_26
    | ~ spl0_28
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f2347]) ).

cnf(s636,plain,
    ( spl0_26
    | ~ spl0_29
    | ~ spl0_35 ),
    inference(sat_conversion,[],[f2348]) ).

cnf(s644,plain,
    ( ~ spl0_40
    | spl0_87
    | ~ spl0_89
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2355]) ).

cnf(s649,plain,
    ( ~ spl0_53
    | spl0_87
    | spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f2360]) ).

cnf(s655,plain,
    ( ~ spl0_58
    | spl0_126
    | ~ spl0_128
    | spl0_182 ),
    inference(sat_conversion,[],[f2366]) ).

cnf(s656,plain,
    ( ~ spl0_58
    | spl0_88
    | ~ spl0_89
    | spl0_179 ),
    inference(sat_conversion,[],[f2367]) ).

cnf(s660,plain,
    ( ~ spl0_58
    | spl0_90
    | ~ spl0_92
    | spl0_163 ),
    inference(sat_conversion,[],[f2370]) ).

cnf(s668,plain,
    ( ~ spl0_29
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f2395]) ).

cnf(s678,plain,
    ( ~ spl0_28
    | ~ spl0_91
    | ~ spl0_92
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2405]) ).

cnf(s683,plain,
    ( ~ spl0_38
    | spl0_156
    | ~ spl0_157
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2410]) ).

cnf(s684,plain,
    ( ~ spl0_38
    | spl0_150
    | ~ spl0_152
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f2411]) ).

cnf(s685,plain,
    ( ~ spl0_38
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2412]) ).

cnf(s686,plain,
    ( ~ spl0_38
    | spl0_121
    | ~ spl0_122
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2413]) ).

cnf(s691,plain,
    ( ~ spl0_45
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2417]) ).

cnf(s694,plain,
    ( ~ spl0_54
    | ~ spl0_157
    | ~ spl0_158
    | spl0_173 ),
    inference(sat_conversion,[],[f2420]) ).

cnf(s695,plain,
    ( ~ spl0_54
    | spl0_144
    | ~ spl0_145
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f2421]) ).

cnf(s697,plain,
    ( ~ spl0_54
    | ~ spl0_75
    | ~ spl0_76
    | spl0_168 ),
    inference(sat_conversion,[],[f2423]) ).

cnf(s699,plain,
    ( ~ spl0_54
    | spl0_142
    | ~ spl0_143
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f2425]) ).

cnf(s710,plain,
    ( ~ spl0_51
    | spl0_144
    | ~ spl0_145
    | spl0_177 ),
    inference(sat_conversion,[],[f2436]) ).

cnf(s714,plain,
    ( ~ spl0_19
    | spl0_11
    | ~ spl0_30
    | ~ spl0_25 ),
    inference(rat,[],[s30,s684,s311,s600,s181,s182,s183]) ).

cnf(s716,plain,
    ( ~ spl0_19
    | ~ spl0_35
    | ~ spl0_30 ),
    inference(rat,[],[s505,s600,s181,s182,s183]) ).

cnf(s717,plain,
    ( spl0_51
    | spl0_32
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128
    | ~ spl0_13
    | spl0_53
    | ~ spl0_30
    | ~ spl0_25
    | spl0_2 ),
    inference(rat,[],[s237,s77,s78,s79,s60,s655,s691,s34,s636,s570,s521,s16,s66,s716,s54,s378,s686,s386,s51,s143,s142,s141]) ).

cnf(s718,plain,
    ( ~ spl0_19
    | spl0_53
    | ~ spl0_30
    | ~ spl0_25 ),
    inference(rat,[],[s54,s684,s600,s716,s181,s182,s183]) ).

cnf(s720,plain,
    ( ~ spl0_11
    | ~ spl0_51 ),
    inference(rat,[],[s536,s129,s130,s131]) ).

cnf(s721,plain,
    ( ~ spl0_10
    | spl0_19
    | ~ spl0_25 ),
    inference(rat,[],[s40,s345,s469,s518,s105,s106,s107,s66]) ).

cnf(s722,plain,
    ( ~ spl0_24
    | spl0_32
    | spl0_51
    | ~ spl0_13
    | spl0_53
    | ~ spl0_30
    | ~ spl0_25
    | spl0_2 ),
    inference(rat,[],[s717,s149,s150,s151]) ).

cnf(s723,plain,
    ( ~ spl0_165
    | spl0_51
    | ~ spl0_13
    | spl0_53
    | spl0_4
    | ~ spl0_25
    | spl0_2 ),
    inference(rat,[],[s402,s177,s178,s179,s45,s722,s37,s354,s378,s143,s142,s141,s521,s66,s718,s17]) ).

cnf(s725,plain,
    ( ~ spl0_36
    | ~ spl0_26 ),
    inference(rat,[],[s237,s77,s78,s79]) ).

cnf(s726,plain,
    ( ~ spl0_37
    | ~ spl0_46
    | ~ spl0_29 ),
    inference(rat,[],[s318,s423,s133,s134,s135]) ).

cnf(s727,plain,
    ( spl0_37
    | spl0_51
    | ~ spl0_29
    | spl0_53
    | ~ spl0_25 ),
    inference(rat,[],[s725,s636,s24,s54,s685,s161,s162,s163,s48]) ).

cnf(s729,plain,
    ( ~ spl0_13
    | spl0_165
    | ~ spl0_122
    | spl0_19
    | ~ spl0_25 ),
    inference(rat,[],[s40,s388,s615,s141,s142]) ).

cnf(s731,plain,
    ( ~ spl0_16
    | ~ spl0_42 ),
    inference(rat,[],[s616,s121,s122,s123]) ).

cnf(s732,plain,
    ( ~ spl0_17
    | ~ spl0_32
    | spl0_53
    | ~ spl0_25 ),
    inference(rat,[],[s54,s685,s277,s356,s161,s162,s163]) ).

cnf(s733,plain,
    ( spl0_13
    | spl0_17
    | spl0_51
    | ~ spl0_25 ),
    inference(rat,[],[s731,s8,s52]) ).

cnf(s734,plain,
    ( spl0_51
    | spl0_53
    | spl0_4
    | ~ spl0_25
    | spl0_2 ),
    inference(rat,[],[s729,s723,s143,s733,s732,s51,s726,s727,s16,s718,s17]) ).

cnf(s735,plain,
    ( spl0_53
    | spl0_4
    | ~ spl0_25
    | spl0_2 ),
    inference(rat,[],[s24,s725,s726,s636,s37,s54,s378,s686,s729,s141,s142,s143,s46,s340,s173,s174,s175,s4,s720,s734,s721,s16,s718,s17]) ).

cnf(s736,plain,
    ( ~ spl0_17
    | ~ spl0_29
    | ~ spl0_35
    | spl0_51
    | ~ spl0_25 ),
    inference(rat,[],[s51,s726,s356,s24,s277,s685,s161,s162,s163,s725,s636]) ).

cnf(s737,plain,
    ( spl0_51
    | spl0_4
    | spl0_56
    | ~ spl0_25
    | spl0_2 ),
    inference(rat,[],[s378,s37,s729,s141,s142,s143,s726,s733,s48,s736,s16,s716,s57,s351,s17,s735]) ).

cnf(s743,plain,
    ( ~ spl0_33
    | ~ spl0_46 ),
    inference(rat,[],[s402,s177,s178,s179]) ).

cnf(s746,plain,
    ( ~ spl0_8
    | ~ spl0_41 ),
    inference(rat,[],[s590,s145,s146,s147]) ).

cnf(s749,plain,
    ( ~ spl0_22
    | ~ spl0_29 ),
    inference(rat,[],[s668,s69,s70,s71]) ).

cnf(s750,plain,
    ( ~ spl0_21
    | ~ spl0_58 ),
    inference(rat,[],[s322,s85,s86,s87]) ).

cnf(s751,plain,
    ( spl0_4
    | spl0_56
    | ~ spl0_25
    | spl0_2 ),
    inference(rat,[],[s97,s649,s98,s99,s11,s750,s749,s59,s636,s725,s24,s726,s37,s378,s686,s729,s141,s142,s143,s695,s46,s282,s340,s173,s174,s175,s4,s721,s16,s714,s720,s737,s735,s17]) ).

cnf(s752,plain,
    ( ~ spl0_51
    | spl0_35
    | spl0_22
    | spl0_10
    | ~ spl0_165
    | ~ spl0_25 ),
    inference(rat,[],[s649,s97,s98,s99,s11,s54,s750,s686,s59,s142,s143,s695,s46,s710,s340,s173,s174,s175,s4,s720]) ).

cnf(s753,plain,
    ( spl0_35
    | spl0_37
    | spl0_10
    | ~ spl0_29
    | ~ spl0_165
    | ~ spl0_3 ),
    inference(rat,[],[s727,s351,s752,s57,s112,s495,s109,s110,s111,s749]) ).

cnf(s754,plain,
    ( ~ spl0_13
    | ~ spl0_38
    | ~ spl0_165 ),
    inference(rat,[],[s686,s142,s143]) ).

cnf(s755,plain,
    ( spl0_11
    | spl0_13
    | spl0_10
    | ~ spl0_25 ),
    inference(rat,[],[s340,s173,s174,s175,s46,s4]) ).

cnf(s756,plain,
    ( spl0_19
    | ~ spl0_46
    | ~ spl0_165
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s736,s48,s720,s755,s754,s24,s725,s636,s753,s726,s721,s16,s112]) ).

cnf(s757,plain,
    ( ~ spl0_51
    | spl0_39
    | spl0_150
    | ~ spl0_152
    | spl0_33
    | ~ spl0_165
    | spl0_65
    | ~ spl0_25 ),
    inference(rat,[],[s571,s699,s62,s170,s171,s513,s58,s193,s194,s195,s585,s656,s68,s559,s309,s46,s97,s98,s99,s684,s754,s27,s30,s720]) ).

cnf(s758,plain,
    ( ~ spl0_38
    | spl0_51
    | spl0_150
    | ~ spl0_152
    | ~ spl0_165
    | ~ spl0_25 ),
    inference(rat,[],[s309,s52,s684,s754]) ).

cnf(s760,plain,
    ( spl0_35
    | spl0_38
    | spl0_51
    | ~ spl0_3 ),
    inference(rat,[],[s351,s54,s57,s112,s495,s109,s110,s111]) ).

cnf(s761,plain,
    ( spl0_44
    | spl0_30
    | ~ spl0_35
    | spl0_51
    | ~ spl0_46
    | ~ spl0_25 ),
    inference(rat,[],[s695,s266,s173,s174,s175,s49,s260,s34,s697,s211,s81,s82,s83,s508,s65,s44,s518,s345,s490,s105,s106,s107,s35,s743]) ).

cnf(s762,plain,
    ( ~ spl0_46
    | ~ spl0_165
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s378,s141,s142,s52,s761,s309,s505,s716,s760,s758,s757,s311,s181,s182,s183,s756,s743,s580,s113,s114,s115,s751,s495,s109,s110,s111,s112]) ).

cnf(s763,plain,
    ( spl0_19
    | ~ spl0_51
    | ~ spl0_165
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s644,s34,s656,s691,s655,s97,s98,s99,s149,s150,s151,s11,s41,s750,s508,s60,s695,s725,s710,s340,s636,s173,s174,s175,s752,s379,s4,s749,s519,s721,s16,s66,s115,s114,s113,s751,s495,s109,s110,s111,s112,s1,s720]) ).

cnf(s764,plain,
    ( ~ spl0_17
    | ~ spl0_38 ),
    inference(rat,[],[s685,s161,s162,s163]) ).

cnf(s765,plain,
    ( ~ spl0_24
    | ~ spl0_59
    | ~ spl0_50 ),
    inference(rat,[],[s560,s591,s149,s150,s151]) ).

cnf(s766,plain,
    ( ~ spl0_51
    | ~ spl0_165
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s592,s101,s102,s103,s31,s746,s53,s765,s61,s764,s585,s559,s306,s46,s97,s98,s99,s754,s27,s30,s311,s181,s182,s183,s763,s720,s112,s1]) ).

cnf(s767,plain,
    ( ~ spl0_13
    | ~ spl0_32
    | ~ spl0_165 ),
    inference(rat,[],[s354,s141,s143]) ).

cnf(s768,plain,
    ( ~ spl0_165
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s277,s57,s351,s356,s732,s161,s162,s163,s733,s767,s51,s766,s762,s112,s495,s109,s110,s111,s1]) ).

cnf(s769,plain,
    ( spl0_19
    | spl0_11
    | spl0_165
    | ~ spl0_25 ),
    inference(rat,[],[s729,s143,s755,s721]) ).

cnf(s772,plain,
    ( ~ spl0_27
    | ~ spl0_45 ),
    inference(rat,[],[s211,s81,s82,s83]) ).

cnf(s773,plain,
    ( spl0_35
    | spl0_42
    | spl0_87
    | spl0_88
    | ~ spl0_89
    | ~ spl0_38
    | spl0_30
    | spl0_99
    | spl0_100
    | spl0_101
    | spl0_56
    | ~ spl0_25 ),
    inference(rat,[],[s683,s694,s189,s190,s191,s23,s226,s133,s134,s135,s32,s772,s59,s655,s691,s34,s644,s379,s585,s575,s61,s592,s101,s102,s103,s149,s150,s151,s15,s53,s586,s746,s57,s764,s306]) ).

cnf(s774,plain,
    ( ~ spl0_29
    | ~ spl0_35
    | spl0_87
    | spl0_88
    | ~ spl0_89
    | spl0_17
    | spl0_30
    | spl0_99
    | spl0_100
    | spl0_101
    | ~ spl0_25 ),
    inference(rat,[],[s14,s678,s772,s660,s34,s60,s644,s559,s379,s585,s575,s61,s592,s101,s102,s103,s725,s31,s636,s586]) ).

cnf(s775,plain,
    ( ~ spl0_35
    | spl0_87
    | ~ spl0_25
    | spl0_88
    | ~ spl0_89
    | spl0_17
    | spl0_30
    | spl0_99
    | spl0_100
    | spl0_101 ),
    inference(rat,[],[s60,s725,s660,s633,s678,s14,s772,s34,s644,s559,s379,s585,s575,s61,s592,s101,s102,s103,s15,s774]) ).

cnf(s776,plain,
    ( spl0_11
    | spl0_165
    | spl0_99
    | spl0_100
    | spl0_101
    | spl0_56
    | ~ spl0_25 ),
    inference(rat,[],[s775,s773,s309,s97,s98,s99,s764,s684,s27,s30,s311,s714,s181,s182,s183,s769]) ).

cnf(s777,plain,
    ( spl0_35
    | spl0_51
    | ~ spl0_3 ),
    inference(rat,[],[s683,s694,s189,s190,s191,s23,s226,s133,s134,s135,s48,s55,s764,s351,s760,s57,s112,s495,s109,s110,s111]) ).

cnf(s778,plain,
    ( spl0_19
    | ~ spl0_35
    | spl0_51
    | spl0_165
    | ~ spl0_25
    | spl0_2 ),
    inference(rat,[],[s729,s143,s733,s736,s16]) ).

cnf(s779,plain,
    ( ~ spl0_15
    | ~ spl0_32 ),
    inference(rat,[],[s357,s165,s166,s167]) ).

cnf(s780,plain,
    ( ~ spl0_37
    | ~ spl0_31 ),
    inference(rat,[],[s226,s133,s134,s135]) ).

cnf(s781,plain,
    ( ~ spl0_35
    | spl0_2
    | spl0_51
    | spl0_165
    | ~ spl0_25 ),
    inference(rat,[],[s277,s356,s161,s162,s163,s48,s780,s29,s779,s51,s386,s141,s143,s52,s309,s505,s311,s181,s182,s183,s778]) ).

cnf(s782,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s781,s777,s720,s776,s768,s113,s114,s115,s751,s495,s109,s110,s111,s112,s1]) ).

cnf(s783,plain,
    ( spl0_11
    | spl0_56
    | ~ spl0_2 ),
    inference(rat,[],[s773,s775,s309,s113,s114,s115,s97,s98,s99,s684,s764,s17,s27,s30,s714,s311,s182,s181,s183,s66,s517,s89,s90,s91,s92]) ).

cnf(s784,plain,
    ( ~ spl0_165
    | ~ spl0_13
    | spl0_30
    | ~ spl0_35
    | spl0_51
    | ~ spl0_25 ),
    inference(rat,[],[s761,s51,s378,s767,s142,s141]) ).

cnf(s785,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s277,s356,s161,s162,s163,s48,s780,s29,s779,s51,s386,s784,s141,s143,s52,s309,s505,s716,s777,s720,s783,s495,s109,s110,s111,s311,s182,s181,s183,s66,s517,s89,s90,s91,s92]) ).

cnf(s786,plain,
    ( spl0_17
    | ~ spl0_165
    | ~ spl0_2 ),
    inference(rat,[],[s419,s318,s36,s51,s378,s767,s141,s142,s133,s135,s733,s48,s720,s26,s785,s311,s182,s181,s183,s66,s517,s89,s90,s91,s92]) ).

cnf(s787,plain,
    ( ~ spl0_13
    | ~ spl0_165
    | ~ spl0_2 ),
    inference(rat,[],[s600,s489,s36,s21,s378,s767,s141,s142,s183,s182,s66,s517,s89,s90,s91,s92,s785]) ).

cnf(s788,plain,
    ( ~ spl0_9
    | ~ spl0_49
    | ~ spl0_32 ),
    inference(rat,[],[s350,s492,s101,s102,s103]) ).

cnf(s789,plain,
    ( spl0_35
    | spl0_22
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146
    | spl0_38
    | ~ spl0_25 ),
    inference(rat,[],[s649,s97,s98,s99,s11,s750,s59,s695,s282,s54]) ).

cnf(s790,plain,
    ( ~ spl0_165
    | ~ spl0_2 ),
    inference(rat,[],[s736,s789,s749,s15,s788,s47,s340,s779,s173,s174,s175,s21,s49,s489,s309,s52,s787,s786,s758,s720,s26,s785,s311,s182,s181,s183,s66,s517,s89,s90,s91,s92]) ).

cnf(s791,plain,
    ( spl0_17
    | ~ spl0_2 ),
    inference(rat,[],[s51,s779,s386,s29,s141,s143,s780,s733,s48,s720,s26,s785,s311,s182,s181,s183,s66,s517,s89,s90,s91,s92,s790]) ).

cnf(s792,plain,
    ( ~ spl0_32
    | spl0_35
    | ~ spl0_2 ),
    inference(rat,[],[s15,s788,s749,s47,s789,s340,s173,s174,s175,s49,s725,s24,s780,s29,s779,s720,s26,s785,s311,s182,s181,s183,s66,s517,s89,s90,s91,s92,s764,s791]) ).

cnf(s793,plain,
    ( spl0_32
    | ~ spl0_2 ),
    inference(rat,[],[s386,s141,s143,s52,s309,s489,s51,s21,s720,s26,s785,s311,s182,s181,s183,s66,s517,s89,s90,s91,s92,s790]) ).

cnf(s794,plain,
    ~ spl0_2,
    inference(rat,[],[s216,s792,s356,s793,s161,s162,s163,s791]) ).

cnf(s795,plain,
    spl0_1,
    inference(rat,[],[s782,s794]) ).

cnf(s796,plain,
    spl0_25,
    inference(rat,[],[s128,s795]) ).

cnf(s797,plain,
    ~ spl0_110,
    inference(rat,[],[s127,s795]) ).

cnf(s798,plain,
    ~ spl0_109,
    inference(rat,[],[s126,s795]) ).

cnf(s799,plain,
    ~ spl0_108,
    inference(rat,[],[s125,s795]) ).

cnf(s800,plain,
    ~ spl0_60,
    inference(rat,[],[s627,s797,s798,s799]) ).

cnf(s801,plain,
    ( spl0_19
    | spl0_35
    | ~ spl0_165
    | ~ spl0_51 ),
    inference(rat,[],[s752,s749,s721,s16,s796,s794]) ).

cnf(s802,plain,
    ( ~ spl0_152
    | spl0_30
    | spl0_150
    | ~ spl0_151
    | spl0_35
    | spl0_56
    | spl0_11 ),
    inference(rat,[],[s773,s309,s97,s98,s99,s684,s27,s30,s311,s115,s114,s113,s751,s796,s794]) ).

cnf(s803,plain,
    ( spl0_35
    | spl0_56
    | ~ spl0_51 ),
    inference(rat,[],[s183,s802,s714,s181,s182,s801,s776,s113,s720,s114,s115,s751,s796,s794]) ).

cnf(s804,plain,
    ( spl0_19
    | ~ spl0_35
    | spl0_11 ),
    inference(rat,[],[s340,s60,s173,s174,s175,s725,s4,s636,s522,s721,s16,s66,s796,s800,s794]) ).

cnf(s805,plain,
    ( spl0_39
    | ~ spl0_35
    | spl0_99
    | spl0_100
    | spl0_101
    | spl0_11 ),
    inference(rat,[],[s775,s97,s98,s99,s764,s27,s30,s714,s804,s796]) ).

cnf(s806,plain,
    ( spl0_56
    | ~ spl0_51 ),
    inference(rat,[],[s311,s183,s805,s181,s182,s804,s803,s113,s114,s115,s751,s720,s796,s794]) ).

cnf(s807,plain,
    ( ~ spl0_3
    | ~ spl0_56 ),
    inference(rat,[],[s495,s109,s110,s111]) ).

cnf(s808,plain,
    ( ~ spl0_19
    | ~ spl0_39 ),
    inference(rat,[],[s311,s181,s182,s183]) ).

cnf(s809,plain,
    ~ spl0_51,
    inference(rat,[],[s804,s801,s769,s808,s26,s807,s806,s720,s796]) ).

cnf(s810,plain,
    ~ spl0_3,
    inference(rat,[],[s277,s356,s161,s162,s163,s733,s767,s51,s762,s781,s777,s809,s796,s794]) ).

cnf(s812,plain,
    ( spl0_19
    | ~ spl0_165
    | spl0_35 ),
    inference(rat,[],[s764,s733,s789,s767,s173,s174,s175,s21,s49,s725,s60,s749,s522,s521,s16,s66,s809,s796,s810,s800,s794]) ).

cnf(s813,plain,
    ( ~ spl0_13
    | ~ spl0_152
    | ~ spl0_151
    | ~ spl0_165 ),
    inference(rat,[],[s600,s489,s36,s21,s378,s767,s141,s142,s796,s810]) ).

cnf(s814,plain,
    ( ~ spl0_152
    | ~ spl0_165
    | spl0_35 ),
    inference(rat,[],[s15,s788,s749,s47,s789,s340,s779,s173,s174,s175,s21,s49,s489,s309,s52,s813,s758,s182,s181,s812,s796,s810,s809]) ).

cnf(s815,plain,
    ( ~ spl0_165
    | spl0_35 ),
    inference(rat,[],[s183,s814,s812]) ).

cnf(s816,plain,
    ( spl0_19
    | spl0_35 ),
    inference(rat,[],[s729,s143,s733,s764,s789,s173,s174,s175,s49,s725,s60,s749,s522,s521,s16,s66,s815,s796,s809,s800,s794]) ).

cnf(s817,plain,
    ( ~ spl0_32
    | spl0_35 ),
    inference(rat,[],[s15,s788,s749,s47,s789,s340,s173,s174,s175,s49,s725,s24,s764,s48,s780,s29,s779,s808,s816,s796,s809]) ).

cnf(s818,plain,
    spl0_35,
    inference(rat,[],[s386,s141,s143,s52,s309,s489,s51,s21,s817,s181,s182,s183,s816,s815,s796,s809,s810]) ).

cnf(s819,plain,
    spl0_165,
    inference(rat,[],[s781,s796,s809,s794,s818]) ).

cnf(s824,plain,
    spl0_19,
    inference(rat,[],[s725,s60,s636,s522,s521,s16,s66,s796,s818,s800,s809,s794]) ).

cnf(s825,plain,
    spl0_152,
    inference(rat,[],[s183,s824]) ).

cnf(s826,plain,
    spl0_151,
    inference(rat,[],[s182,s824]) ).

cnf(s827,plain,
    ~ spl0_150,
    inference(rat,[],[s181,s824]) ).

cnf(s830,plain,
    ~ spl0_180,
    inference(rat,[],[s505,s818,s827,s826]) ).

cnf(s831,plain,
    ~ spl0_13,
    inference(rat,[],[s813,s819,s825,s826]) ).

cnf(s837,plain,
    ~ spl0_42,
    inference(rat,[],[s309,s827,s825,s830]) ).

cnf(s838,plain,
    $false,
    inference(rat,[],[s52,s809,s796,s831,s837]) ).

fof(f2439,plain,
    $false,
    inference(avatar_sat_refutation,[],[s838]) ).

%------------------------------------------------------------------------------
%----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 THM
% 0.09/0.18  % Computer : n016.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 16:14:48 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.93/0.71  % (3738821)Detected formulas, will run a generic FOF schedule.
% 1.93/0.71  % (3738832)dis-21_1_sil=8000:lcm=predicate:random_seed=3127309598:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.93/0.71  % (3738832)First to succeed.
% 1.93/0.71  % (3738832)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3738821"
% 1.93/0.71  % (3738828)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2016185550:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.93/0.71  % (3738829)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=534395388:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.93/0.71  % (3738831)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=49465162:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.93/0.71  % (3738826)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2352794652:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.93/0.71  % (3738830)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2931490750:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.93/0.71  % (3738827)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3834068788:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.93/0.71  % (3738831)Also succeeded, but the first one will report.
% 1.93/0.71  % (3738830)Instruction limit reached! 
% 1.93/0.71  % (3738830)------------------------------
% 1.93/0.71  % (3738830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.93/0.71  % (3738830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.71  % (3738830)CaDiCaL version: 2.1.3
% 1.93/0.71  % (3738830)Termination reason: Instruction limit
% 1.93/0.71  % (3738830)Termination phase: Saturation
% 1.93/0.71  % (3738830)Time elapsed: 0.058 s
% 1.93/0.71  % (3738830)Peak memory usage: 88 MB
% 1.93/0.71  % (3738830)Instructions burned: 120 (million)
% 1.93/0.71  % (3738829)Also succeeded, but the first one will report.
% 1.93/0.71  % (3738832)Refutation found. Thanks to Tanya!
% 1.93/0.71  % SZS status Theorem for theBenchmark
% 1.93/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 2.49/0.81  % (3738832)------------------------------
% 2.49/0.81  % (3738832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/0.81  % (3738832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.81  % (3738832)CaDiCaL version: 2.1.3
% 2.49/0.81  % (3738832)Termination reason: Refutation
% 2.49/0.81  % (3738832)Time elapsed: 0.022 s
% 2.49/0.81  % (3738832)Peak memory usage: 90 MB
% 2.49/0.81  % (3738832)Instructions burned: 66 (million)
% 2.49/0.81  % (3738832)------------------------------
% 2.49/0.81  % (3738832)------------------------------
% 2.49/0.81  % (3738821)Success in time 0.305 s
% 2.49/0.81  % Vampire exiting
%------------------------------------------------------------------------------