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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN445+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:35 PM UTC 2026

% Result   : Theorem 0.08s 0.19s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :  110
% Syntax   : Number of formulae    :  695 (  17 unt; 109 def)
%            Number of atoms       : 5313 (   0 equ)
%            Maximal formula atoms :  606 (   7 avg)
%            Number of connectives : 7092 (2474   ~;3332   |; 895   &)
%                                         ( 109 <=>; 282  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   97 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  145 ( 144 usr; 141 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  653 (   0 sgn 653   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ c0_1(a294)
          & ~ c2_1(a294)
          & ~ c3_1(a294) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a295)
          & c2_1(a295)
          & ~ c1_1(a295) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a297)
          & ~ c0_1(a297)
          & ~ c3_1(a297) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a299)
          & c3_1(a299)
          & ~ c2_1(a299) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a300)
          & ~ c1_1(a300)
          & ~ c2_1(a300) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a301)
          & ~ c1_1(a301)
          & ~ c3_1(a301) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a302)
          & ~ c1_1(a302)
          & ~ c2_1(a302) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a303)
          & c1_1(a303)
          & ~ c2_1(a303) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a305)
          & ~ c0_1(a305)
          & ~ c1_1(a305) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a307)
          & ~ c1_1(a307)
          & ~ c3_1(a307) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a308)
          & c3_1(a308)
          & ~ c0_1(a308) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a309)
          & c3_1(a309)
          & ~ c2_1(a309) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a310)
          & ~ c0_1(a310)
          & ~ c2_1(a310) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a313)
          & c3_1(a313)
          & ~ c1_1(a313) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a315)
          & c2_1(a315)
          & ~ c0_1(a315) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a320)
          & ~ c0_1(a320)
          & ~ c2_1(a320) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a321)
          & c3_1(a321)
          & ~ c1_1(a321) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a323)
          & c2_1(a323)
          & ~ c3_1(a323) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c2_1(a329)
          & ~ c0_1(a329)
          & ~ c3_1(a329) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a330)
          & c2_1(a330)
          & ~ c3_1(a330) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a333)
          & ~ c2_1(a333)
          & ~ c3_1(a333) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a336)
          & ~ c0_1(a336)
          & ~ c1_1(a336) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c1_1(a338)
          & ~ c2_1(a338)
          & ~ c3_1(a338) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a341)
          & c3_1(a341)
          & ~ c0_1(a341) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a342)
          & ~ c1_1(a342)
          & ~ c2_1(a342) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c0_1(a346)
          & ~ c1_1(a346)
          & ~ c3_1(a346) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a349)
          & ~ c2_1(a349)
          & ~ c3_1(a349) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a334)
          & c2_1(a334)
          & c3_1(a334) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a353)
          & c2_1(a353)
          & c3_1(a353) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a354)
          & c1_1(a354)
          & c2_1(a354) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | ~ c1_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | c2_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | ~ c1_1(X5)
              | ~ c3_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | ~ c0_1(X7)
              | ~ c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c0_1(X8)
              | ~ c1_1(X8)
              | ~ c3_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | ~ c0_1(X10)
              | ~ c1_1(X10) ) )
        | hskp0 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c2_1(X12)
              | c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | ~ c2_1(X13)
              | ~ c3_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c2_1(X15)
              | ~ c1_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | ~ c0_1(X16)
              | ~ c2_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | ~ c1_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | ~ c1_1(X19)
              | ~ c2_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | ~ c2_1(X21)
              | ~ c3_1(X21) ) )
        | hskp1 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c2_1(X23)
              | ~ c1_1(X23)
              | ~ c3_1(X23) ) )
        | hskp0 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | hskp2
        | hskp0 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c1_1(X27)
              | ~ c2_1(X27)
              | ~ c3_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c3_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | ~ c1_1(X30)
              | ~ c3_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c3_1(X32)
              | ~ c1_1(X32) ) )
        | hskp3 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | ~ c0_1(X34)
              | ~ c2_1(X34) ) )
        | hskp4 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c1_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c1_1(X36)
              | ~ c0_1(X36)
              | ~ c3_1(X36) ) )
        | hskp5 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | ~ c0_1(X38)
              | ~ c1_1(X38) ) )
        | hskp6 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | hskp7
        | hskp4 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c1_1(X40) ) )
        | hskp8
        | hskp5 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | ~ c0_1(X42)
              | ~ c2_1(X42) ) )
        | hskp9 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c3_1(X43) ) )
        | hskp10
        | hskp11 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c2_1(X45)
              | ~ c1_1(X45)
              | ~ c3_1(X45) ) )
        | hskp12 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c2_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | ~ c1_1(X47)
              | ~ c2_1(X47) ) )
        | hskp8 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c1_1(X48)
              | ~ c2_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c2_1(X49)
              | c3_1(X49)
              | ~ c0_1(X49) ) )
        | hskp12 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | ~ c0_1(X51)
              | ~ c1_1(X51) ) )
        | hskp13 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c2_1(X52)
              | ~ c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) )
        | hskp3 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c2_1(X54)
              | ~ c3_1(X54) ) )
        | hskp14
        | hskp0 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c2_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) )
        | hskp14 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | ~ c0_1(X58)
              | ~ c1_1(X58) ) )
        | hskp7 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | ~ c3_1(X59) ) )
        | hskp6
        | hskp15 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c2_1(X60)
              | ~ c3_1(X60) ) )
        | hskp16 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c3_1(X61)
              | ~ c0_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c3_1(X62)
              | ~ c2_1(X62) ) )
        | hskp13 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c3_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | c3_1(X64)
              | ~ c1_1(X64) ) )
        | hskp17 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c3_1(X65)
              | ~ c2_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | c3_1(X66)
              | ~ c1_1(X66) ) )
        | hskp5 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c3_1(X67)
              | ~ c2_1(X67) ) )
        | hskp11
        | hskp16 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | ~ c0_1(X68)
              | ~ c2_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | ~ c0_1(X69)
              | ~ c3_1(X69) ) )
        | hskp4 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c0_1(X70)
              | ~ c2_1(X70) ) )
        | hskp17
        | hskp18 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | ~ c2_1(X71) ) )
        | hskp19
        | hskp12 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c0_1(X72)
              | ~ c2_1(X72) ) )
        | hskp11
        | hskp20 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | hskp27
        | hskp3 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | c3_1(X74)
              | ~ c0_1(X74) ) )
        | hskp21 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | ~ c1_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | ~ c1_1(X77)
              | ~ c3_1(X77) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | c3_1(X78)
              | ~ c1_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c1_1(X79)
              | ~ c3_1(X79) ) )
        | hskp17 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | c3_1(X80)
              | ~ c1_1(X80) ) )
        | hskp22 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c1_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( c3_1(X83)
              | ~ c0_1(X83)
              | ~ c1_1(X83) ) )
        | hskp17
        | hskp4 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c0_1(X84)
              | ~ c1_1(X84) ) )
        | hskp23
        | hskp24 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp11 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c1_1(X87)
              | ~ c2_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | hskp4 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | ~ c1_1(X89)
              | ~ c2_1(X89) ) )
        | hskp15
        | hskp25 )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c1_1(X90)
              | ~ c2_1(X90) ) )
        | hskp6
        | hskp8 )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c1_1(X91)
              | ~ c2_1(X91) ) )
        | hskp26
        | hskp23 )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | ~ c1_1(X92)
              | ~ c3_1(X92) ) )
        | hskp17
        | hskp21 )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c2_1(X93)
              | ~ c3_1(X93) ) )
        | hskp28 )
      & ( hskp29
        | hskp27
        | hskp10 )
      & ( hskp7
        | hskp1
        | hskp10 )
      & ( hskp17
        | hskp5
        | hskp24 )
      & ( hskp6
        | hskp15
        | hskp23 )
      & ( hskp26
        | hskp11
        | hskp12 )
      & ( hskp26
        | hskp16 )
      & ( hskp20
        | hskp12
        | hskp25 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c0_1(a294)
            & ~ c2_1(a294)
            & ~ c3_1(a294) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a295)
            & c2_1(a295)
            & ~ c1_1(a295) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a297)
            & ~ c0_1(a297)
            & ~ c3_1(a297) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a299)
            & c3_1(a299)
            & ~ c2_1(a299) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a300)
            & ~ c1_1(a300)
            & ~ c2_1(a300) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a301)
            & ~ c1_1(a301)
            & ~ c3_1(a301) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a302)
            & ~ c1_1(a302)
            & ~ c2_1(a302) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a303)
            & c1_1(a303)
            & ~ c2_1(a303) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a305)
            & ~ c0_1(a305)
            & ~ c1_1(a305) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a307)
            & ~ c1_1(a307)
            & ~ c3_1(a307) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a308)
            & c3_1(a308)
            & ~ c0_1(a308) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a309)
            & c3_1(a309)
            & ~ c2_1(a309) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a310)
            & ~ c0_1(a310)
            & ~ c2_1(a310) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a313)
            & c3_1(a313)
            & ~ c1_1(a313) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a315)
            & c2_1(a315)
            & ~ c0_1(a315) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a320)
            & ~ c0_1(a320)
            & ~ c2_1(a320) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a321)
            & c3_1(a321)
            & ~ c1_1(a321) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a323)
            & c2_1(a323)
            & ~ c3_1(a323) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c2_1(a329)
            & ~ c0_1(a329)
            & ~ c3_1(a329) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a330)
            & c2_1(a330)
            & ~ c3_1(a330) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a333)
            & ~ c2_1(a333)
            & ~ c3_1(a333) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a336)
            & ~ c0_1(a336)
            & ~ c1_1(a336) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c1_1(a338)
            & ~ c2_1(a338)
            & ~ c3_1(a338) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a341)
            & c3_1(a341)
            & ~ c0_1(a341) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a342)
            & ~ c1_1(a342)
            & ~ c2_1(a342) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a346)
            & ~ c1_1(a346)
            & ~ c3_1(a346) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a349)
            & ~ c2_1(a349)
            & ~ c3_1(a349) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a334)
            & c2_1(a334)
            & c3_1(a334) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a353)
            & c2_1(a353)
            & c3_1(a353) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a354)
            & c1_1(a354)
            & c2_1(a354) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c1_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | c2_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c1_1(X5)
                | ~ c3_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | ~ c0_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | ~ c1_1(X8)
                | ~ c3_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | ~ c0_1(X10)
                | ~ c1_1(X10) ) )
          | hskp0 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c2_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | ~ c2_1(X13)
                | ~ c3_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c2_1(X15)
                | ~ c1_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | ~ c0_1(X16)
                | ~ c2_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | ~ c1_1(X19)
                | ~ c2_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | ~ c2_1(X21)
                | ~ c3_1(X21) ) )
          | hskp1 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | ~ c1_1(X23)
                | ~ c3_1(X23) ) )
          | hskp0 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | hskp2
          | hskp0 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | ~ c2_1(X27)
                | ~ c3_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c3_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c1_1(X30)
                | ~ c3_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c3_1(X32)
                | ~ c1_1(X32) ) )
          | hskp3 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | ~ c0_1(X34)
                | ~ c2_1(X34) ) )
          | hskp4 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | ~ c0_1(X36)
                | ~ c3_1(X36) ) )
          | hskp5 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | ~ c0_1(X38)
                | ~ c1_1(X38) ) )
          | hskp6 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | hskp7
          | hskp4 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | hskp8
          | hskp5 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | ~ c0_1(X42)
                | ~ c2_1(X42) ) )
          | hskp9 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp10
          | hskp11 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | ~ c1_1(X45)
                | ~ c3_1(X45) ) )
          | hskp12 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | ~ c1_1(X47)
                | ~ c2_1(X47) ) )
          | hskp8 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c1_1(X48)
                | ~ c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c2_1(X49)
                | c3_1(X49)
                | ~ c0_1(X49) ) )
          | hskp12 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | ~ c0_1(X51)
                | ~ c1_1(X51) ) )
          | hskp13 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c2_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) )
          | hskp3 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c2_1(X54)
                | ~ c3_1(X54) ) )
          | hskp14
          | hskp0 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c2_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | hskp14 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c0_1(X58)
                | ~ c1_1(X58) ) )
          | hskp7 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | ~ c3_1(X59) ) )
          | hskp6
          | hskp15 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c2_1(X60)
                | ~ c3_1(X60) ) )
          | hskp16 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c3_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c3_1(X62)
                | ~ c2_1(X62) ) )
          | hskp13 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c3_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c3_1(X64)
                | ~ c1_1(X64) ) )
          | hskp17 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c3_1(X65)
                | ~ c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | c3_1(X66)
                | ~ c1_1(X66) ) )
          | hskp5 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c3_1(X67)
                | ~ c2_1(X67) ) )
          | hskp11
          | hskp16 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c0_1(X68)
                | ~ c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c0_1(X69)
                | ~ c3_1(X69) ) )
          | hskp4 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c0_1(X70)
                | ~ c2_1(X70) ) )
          | hskp17
          | hskp18 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | ~ c2_1(X71) ) )
          | hskp19
          | hskp12 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | hskp11
          | hskp20 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | hskp27
          | hskp3 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) )
          | hskp21 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | c3_1(X78)
                | ~ c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c1_1(X79)
                | ~ c3_1(X79) ) )
          | hskp17 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | c3_1(X80)
                | ~ c1_1(X80) ) )
          | hskp22 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c1_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | ~ c0_1(X83)
                | ~ c1_1(X83) ) )
          | hskp17
          | hskp4 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) )
          | hskp23
          | hskp24 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp11 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c1_1(X87)
                | ~ c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | hskp4 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | ~ c1_1(X89)
                | ~ c2_1(X89) ) )
          | hskp15
          | hskp25 )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c1_1(X90)
                | ~ c2_1(X90) ) )
          | hskp6
          | hskp8 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c2_1(X91) ) )
          | hskp26
          | hskp23 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c1_1(X92)
                | ~ c3_1(X92) ) )
          | hskp17
          | hskp21 )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp28 )
        & ( hskp29
          | hskp27
          | hskp10 )
        & ( hskp7
          | hskp1
          | hskp10 )
        & ( hskp17
          | hskp5
          | hskp24 )
        & ( hskp6
          | hskp15
          | hskp23 )
        & ( hskp26
          | hskp11
          | hskp12 )
        & ( hskp26
          | hskp16 )
        & ( hskp20
          | hskp12
          | hskp25 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a294)
        & ~ c2_1(a294)
        & ~ c3_1(a294) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a295)
        & c2_1(a295)
        & ~ c1_1(a295) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a297)
        & ~ c0_1(a297)
        & ~ c3_1(a297) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a299)
        & c3_1(a299)
        & ~ c2_1(a299) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a300)
        & ~ c1_1(a300)
        & ~ c2_1(a300) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a301)
        & ~ c1_1(a301)
        & ~ c3_1(a301) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a302)
        & ~ c1_1(a302)
        & ~ c2_1(a302) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a303)
        & c1_1(a303)
        & ~ c2_1(a303) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a305)
        & ~ c0_1(a305)
        & ~ c1_1(a305) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a307)
        & ~ c1_1(a307)
        & ~ c3_1(a307) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a308)
        & c3_1(a308)
        & ~ c0_1(a308) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a309)
        & c3_1(a309)
        & ~ c2_1(a309) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a310)
        & ~ c0_1(a310)
        & ~ c2_1(a310) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a313)
        & c3_1(a313)
        & ~ c1_1(a313) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a315)
        & c2_1(a315)
        & ~ c0_1(a315) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a320)
        & ~ c0_1(a320)
        & ~ c2_1(a320) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a321)
        & c3_1(a321)
        & ~ c1_1(a321) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a323)
        & c2_1(a323)
        & ~ c3_1(a323) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a329)
        & ~ c0_1(a329)
        & ~ c3_1(a329) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a330)
        & c2_1(a330)
        & ~ c3_1(a330) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a333)
        & ~ c2_1(a333)
        & ~ c3_1(a333) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a336)
        & ~ c0_1(a336)
        & ~ c1_1(a336) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a338)
        & ~ c2_1(a338)
        & ~ c3_1(a338) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a341)
        & c3_1(a341)
        & ~ c0_1(a341) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a342)
        & ~ c1_1(a342)
        & ~ c2_1(a342) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a346)
        & ~ c1_1(a346)
        & ~ c3_1(a346) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a349)
        & ~ c2_1(a349)
        & ~ c3_1(a349) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a334)
        & c2_1(a334)
        & c3_1(a334) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a353)
        & c2_1(a353)
        & c3_1(a353) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a354)
        & c1_1(a354)
        & c2_1(a354) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | ~ c1_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | c2_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | ~ c1_1(X5)
            | ~ c3_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c1_1(X7)
            | ~ c0_1(X7)
            | ~ c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | ~ c1_1(X8)
            | ~ c3_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | ~ c0_1(X10)
            | ~ c1_1(X10) ) )
      | hskp0 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c2_1(X12)
            | c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | ~ c2_1(X13)
            | ~ c3_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c2_1(X15)
            | ~ c1_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c3_1(X16)
            | ~ c0_1(X16)
            | ~ c2_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c2_1(X18)
            | ~ c1_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | ~ c1_1(X19)
            | ~ c2_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c1_1(X21)
            | ~ c2_1(X21)
            | ~ c3_1(X21) ) )
      | hskp1 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c2_1(X23)
            | ~ c1_1(X23)
            | ~ c3_1(X23) ) )
      | hskp0 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | hskp2
      | hskp0 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | ~ c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c1_1(X27)
            | ~ c2_1(X27)
            | ~ c3_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c3_1(X29)
            | ~ c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | ~ c1_1(X30)
            | ~ c3_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | ~ c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c3_1(X32)
            | ~ c1_1(X32) ) )
      | hskp3 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | ~ c0_1(X34)
            | ~ c2_1(X34) ) )
      | hskp4 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c1_1(X36)
            | ~ c0_1(X36)
            | ~ c3_1(X36) ) )
      | hskp5 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | ~ c0_1(X38)
            | ~ c1_1(X38) ) )
      | hskp6 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c2_1(X39)
            | ~ c1_1(X39) ) )
      | hskp7
      | hskp4 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c1_1(X40) ) )
      | hskp8
      | hskp5 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | ~ c0_1(X42)
            | ~ c2_1(X42) ) )
      | hskp9 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c2_1(X43)
            | ~ c3_1(X43) ) )
      | hskp10
      | hskp11 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c2_1(X45)
            | ~ c1_1(X45)
            | ~ c3_1(X45) ) )
      | hskp12 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | ~ c1_1(X47)
            | ~ c2_1(X47) ) )
      | hskp8 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | ~ c1_1(X48)
            | ~ c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c2_1(X49)
            | c3_1(X49)
            | ~ c0_1(X49) ) )
      | hskp12 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | ~ c2_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | ~ c0_1(X51)
            | ~ c1_1(X51) ) )
      | hskp13 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c2_1(X52)
            | ~ c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c3_1(X53)
            | ~ c1_1(X53) ) )
      | hskp3 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c2_1(X54)
            | ~ c3_1(X54) ) )
      | hskp14
      | hskp0 )
    & ( ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c2_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) )
      | hskp14 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c2_1(X57)
            | ~ c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | ~ c0_1(X58)
            | ~ c1_1(X58) ) )
      | hskp7 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c2_1(X59)
            | ~ c3_1(X59) ) )
      | hskp6
      | hskp15 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c2_1(X60)
            | ~ c3_1(X60) ) )
      | hskp16 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c3_1(X61)
            | ~ c0_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c3_1(X62)
            | ~ c2_1(X62) ) )
      | hskp13 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c3_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | c3_1(X64)
            | ~ c1_1(X64) ) )
      | hskp17 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c3_1(X65)
            | ~ c2_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | c3_1(X66)
            | ~ c1_1(X66) ) )
      | hskp5 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c3_1(X67)
            | ~ c2_1(X67) ) )
      | hskp11
      | hskp16 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | ~ c0_1(X68)
            | ~ c2_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | ~ c0_1(X69)
            | ~ c3_1(X69) ) )
      | hskp4 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c0_1(X70)
            | ~ c2_1(X70) ) )
      | hskp17
      | hskp18 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | ~ c0_1(X71)
            | ~ c2_1(X71) ) )
      | hskp19
      | hskp12 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | ~ c0_1(X72)
            | ~ c2_1(X72) ) )
      | hskp11
      | hskp20 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c2_1(X73)
            | ~ c3_1(X73) ) )
      | hskp27
      | hskp3 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) )
      | hskp21 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | c3_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c2_1(X76)
            | ~ c1_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | ~ c1_1(X77)
            | ~ c3_1(X77) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | c3_1(X78)
            | ~ c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | ~ c1_1(X79)
            | ~ c3_1(X79) ) )
      | hskp17 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | c3_1(X80)
            | ~ c1_1(X80) ) )
      | hskp22 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c1_1(X81)
            | ~ c3_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | ~ c0_1(X83)
            | ~ c1_1(X83) ) )
      | hskp17
      | hskp4 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | ~ c0_1(X84)
            | ~ c1_1(X84) ) )
      | hskp23
      | hskp24 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c0_1(X85)
            | ~ c2_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | ~ c2_1(X86)
            | ~ c3_1(X86) ) )
      | hskp11 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | ~ c1_1(X87)
            | ~ c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | ~ c2_1(X88)
            | ~ c3_1(X88) ) )
      | hskp4 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | ~ c1_1(X89)
            | ~ c2_1(X89) ) )
      | hskp15
      | hskp25 )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | ~ c1_1(X90)
            | ~ c2_1(X90) ) )
      | hskp6
      | hskp8 )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | ~ c1_1(X91)
            | ~ c2_1(X91) ) )
      | hskp26
      | hskp23 )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | ~ c1_1(X92)
            | ~ c3_1(X92) ) )
      | hskp17
      | hskp21 )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | ~ c2_1(X93)
            | ~ c3_1(X93) ) )
      | hskp28 )
    & ( hskp29
      | hskp27
      | hskp10 )
    & ( hskp7
      | hskp1
      | hskp10 )
    & ( hskp17
      | hskp5
      | hskp24 )
    & ( hskp6
      | hskp15
      | hskp23 )
    & ( hskp26
      | hskp11
      | hskp12 )
    & ( hskp26
      | hskp16 )
    & ( hskp20
      | hskp12
      | hskp25 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a294)
        & ~ c2_1(a294)
        & ~ c3_1(a294) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a295)
        & c2_1(a295)
        & ~ c1_1(a295) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a297)
        & ~ c0_1(a297)
        & ~ c3_1(a297) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a299)
        & c3_1(a299)
        & ~ c2_1(a299) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a300)
        & ~ c1_1(a300)
        & ~ c2_1(a300) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a301)
        & ~ c1_1(a301)
        & ~ c3_1(a301) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a302)
        & ~ c1_1(a302)
        & ~ c2_1(a302) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a303)
        & c1_1(a303)
        & ~ c2_1(a303) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a305)
        & ~ c0_1(a305)
        & ~ c1_1(a305) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a307)
        & ~ c1_1(a307)
        & ~ c3_1(a307) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a308)
        & c3_1(a308)
        & ~ c0_1(a308) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a309)
        & c3_1(a309)
        & ~ c2_1(a309) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a310)
        & ~ c0_1(a310)
        & ~ c2_1(a310) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a313)
        & c3_1(a313)
        & ~ c1_1(a313) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a315)
        & c2_1(a315)
        & ~ c0_1(a315) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a320)
        & ~ c0_1(a320)
        & ~ c2_1(a320) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a321)
        & c3_1(a321)
        & ~ c1_1(a321) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a323)
        & c2_1(a323)
        & ~ c3_1(a323) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a329)
        & ~ c0_1(a329)
        & ~ c3_1(a329) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a330)
        & c2_1(a330)
        & ~ c3_1(a330) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a333)
        & ~ c2_1(a333)
        & ~ c3_1(a333) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a336)
        & ~ c0_1(a336)
        & ~ c1_1(a336) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a338)
        & ~ c2_1(a338)
        & ~ c3_1(a338) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a341)
        & c3_1(a341)
        & ~ c0_1(a341) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a342)
        & ~ c1_1(a342)
        & ~ c2_1(a342) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a346)
        & ~ c1_1(a346)
        & ~ c3_1(a346) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a349)
        & ~ c2_1(a349)
        & ~ c3_1(a349) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a334)
        & c2_1(a334)
        & c3_1(a334) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a353)
        & c2_1(a353)
        & c3_1(a353) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a354)
        & c1_1(a354)
        & c2_1(a354) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | c2_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c1_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c2_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c3_1(X16)
          | ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c2_1(X23)
          | ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c1_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c0_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c1_1(X36)
          | ~ c0_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp7
      | hskp4 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | hskp8
      | hskp5 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | ~ c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c2_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c2_1(X49)
          | c3_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp14
      | hskp0 )
    & ( ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp6
      | hskp15 )
    & ( ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c3_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c3_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c3_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | hskp11
      | hskp16 )
    & ( ! [X68] :
          ( c1_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c1_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X71] :
          ( c1_1(X71)
          | ~ c0_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp19
      | hskp12 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp11
      | hskp20 )
    & ( ! [X73] :
          ( c1_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp27
      | hskp3 )
    & ( ! [X74] :
          ( c2_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c2_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c2_1(X78)
          | c3_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c0_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c3_1(X83)
          | ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | hskp17
      | hskp4 )
    & ( ! [X84] :
          ( c3_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp23
      | hskp24 )
    & ( ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X89] :
          ( c3_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp15
      | hskp25 )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp6
      | hskp8 )
    & ( ! [X91] :
          ( ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp26
      | hskp23 )
    & ( ! [X92] :
          ( ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp17
      | hskp21 )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | ~ c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp29
      | hskp27
      | hskp10 )
    & ( hskp7
      | hskp1
      | hskp10 )
    & ( hskp17
      | hskp5
      | hskp24 )
    & ( hskp6
      | hskp15
      | hskp23 )
    & ( hskp26
      | hskp11
      | hskp12 )
    & ( hskp26
      | hskp16 )
    & ( hskp20
      | hskp12
      | hskp25 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a294)
        & ~ c2_1(a294)
        & ~ c3_1(a294) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a295)
        & c2_1(a295)
        & ~ c1_1(a295) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a297)
        & ~ c0_1(a297)
        & ~ c3_1(a297) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a299)
        & c3_1(a299)
        & ~ c2_1(a299) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a300)
        & ~ c1_1(a300)
        & ~ c2_1(a300) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a301)
        & ~ c1_1(a301)
        & ~ c3_1(a301) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a302)
        & ~ c1_1(a302)
        & ~ c2_1(a302) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a303)
        & c1_1(a303)
        & ~ c2_1(a303) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a305)
        & ~ c0_1(a305)
        & ~ c1_1(a305) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a307)
        & ~ c1_1(a307)
        & ~ c3_1(a307) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a308)
        & c3_1(a308)
        & ~ c0_1(a308) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a309)
        & c3_1(a309)
        & ~ c2_1(a309) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a310)
        & ~ c0_1(a310)
        & ~ c2_1(a310) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a313)
        & c3_1(a313)
        & ~ c1_1(a313) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a315)
        & c2_1(a315)
        & ~ c0_1(a315) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a320)
        & ~ c0_1(a320)
        & ~ c2_1(a320) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a321)
        & c3_1(a321)
        & ~ c1_1(a321) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a323)
        & c2_1(a323)
        & ~ c3_1(a323) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a329)
        & ~ c0_1(a329)
        & ~ c3_1(a329) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a330)
        & c2_1(a330)
        & ~ c3_1(a330) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a333)
        & ~ c2_1(a333)
        & ~ c3_1(a333) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a336)
        & ~ c0_1(a336)
        & ~ c1_1(a336) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a338)
        & ~ c2_1(a338)
        & ~ c3_1(a338) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a341)
        & c3_1(a341)
        & ~ c0_1(a341) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a342)
        & ~ c1_1(a342)
        & ~ c2_1(a342) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a346)
        & ~ c1_1(a346)
        & ~ c3_1(a346) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a349)
        & ~ c2_1(a349)
        & ~ c3_1(a349) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a334)
        & c2_1(a334)
        & c3_1(a334) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a353)
        & c2_1(a353)
        & c3_1(a353) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a354)
        & c1_1(a354)
        & c2_1(a354) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | c2_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c1_1(X7)
          | ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c1_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c2_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c3_1(X16)
          | ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c1_1(X21)
          | ~ c2_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c2_1(X23)
          | ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | hskp2
      | hskp0 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c1_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c0_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c0_1(X30)
          | ~ c1_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c0_1(X32)
          | c3_1(X32)
          | ~ c1_1(X32)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | ~ c0_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c1_1(X36)
          | ~ c0_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp7
      | hskp4 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | hskp8
      | hskp5 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | ~ c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c2_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c2_1(X49)
          | c3_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c2_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | ~ c0_1(X51)
          | ~ c1_1(X51)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c2_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | hskp14
      | hskp0 )
    & ( ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c2_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c2_1(X58)
          | ~ c0_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp6
      | hskp15 )
    & ( ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c3_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c3_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c2_1(X64)
          | c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | c3_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c3_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | hskp11
      | hskp16 )
    & ( ! [X68] :
          ( c1_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c1_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X71] :
          ( c1_1(X71)
          | ~ c0_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp19
      | hskp12 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | hskp11
      | hskp20 )
    & ( ! [X73] :
          ( c1_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp27
      | hskp3 )
    & ( ! [X74] :
          ( c2_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X75] :
          ( c2_1(X75)
          | c3_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c2_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( c2_1(X78)
          | c3_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c0_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( c3_1(X83)
          | ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | hskp17
      | hskp4 )
    & ( ! [X84] :
          ( c3_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp23
      | hskp24 )
    & ( ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X89] :
          ( c3_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp15
      | hskp25 )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ ndr1_0 )
      | hskp6
      | hskp8 )
    & ( ! [X91] :
          ( ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp26
      | hskp23 )
    & ( ! [X92] :
          ( ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp17
      | hskp21 )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | ~ c2_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp28 )
    & ( hskp29
      | hskp27
      | hskp10 )
    & ( hskp7
      | hskp1
      | hskp10 )
    & ( hskp17
      | hskp5
      | hskp24 )
    & ( hskp6
      | hskp15
      | hskp23 )
    & ( hskp26
      | hskp11
      | hskp12 )
    & ( hskp26
      | hskp16 )
    & ( hskp20
      | hskp12
      | hskp25 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp20
    | hskp12
    | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp26
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp26
    | hskp11
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X93] :
      ( ~ c1_1(X93)
      | ~ c2_1(X93)
      | ~ c3_1(X93)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X89] :
      ( c3_1(X89)
      | ~ c1_1(X89)
      | ~ c2_1(X89)
      | ~ ndr1_0
      | hskp15
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X86,X85] :
      ( c3_1(X85)
      | ~ c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | ~ c0_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X83] :
      ( c3_1(X83)
      | ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ ndr1_0
      | hskp17
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X82,X81] :
      ( c2_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | ~ c0_1(X82)
      | ~ c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X80] :
      ( c2_1(X80)
      | c3_1(X80)
      | ~ c1_1(X80)
      | ~ ndr1_0
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X78,X79] :
      ( c2_1(X78)
      | c3_1(X78)
      | ~ c1_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | ~ c1_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X74] :
      ( c2_1(X74)
      | c3_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X72] :
      ( c1_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | hskp11
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X71] :
      ( c1_1(X71)
      | ~ c0_1(X71)
      | ~ c2_1(X71)
      | ~ ndr1_0
      | hskp19
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | ~ c0_1(X68)
      | ~ c2_1(X68)
      | ~ ndr1_0
      | c1_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X67] :
      ( c1_1(X67)
      | c3_1(X67)
      | ~ c2_1(X67)
      | ~ ndr1_0
      | hskp11
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X63,X64] :
      ( c1_1(X63)
      | c3_1(X63)
      | ~ c0_1(X63)
      | ~ ndr1_0
      | c2_1(X64)
      | c3_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X60] :
      ( c1_1(X60)
      | c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X54] :
      ( c0_1(X54)
      | ~ c2_1(X54)
      | ~ c3_1(X54)
      | ~ ndr1_0
      | hskp14
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X50,X51] :
      ( c0_1(X50)
      | ~ c1_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | c3_1(X51)
      | ~ c0_1(X51)
      | ~ c1_1(X51)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | ~ c1_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | c2_1(X49)
      | c3_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X43] :
      ( c0_1(X43)
      | c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | hskp10
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | c0_1(X26)
      | c2_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | c1_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X24] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | hskp2
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c3_1(X22)
      | ~ ndr1_0
      | c2_1(X23)
      | ~ c1_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X21,X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | c1_1(X21)
      | ~ c2_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X18,X19,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | c0_1(X18)
      | c2_1(X18)
      | ~ c1_1(X18)
      | ~ ndr1_0
      | c3_1(X19)
      | ~ c1_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X16,X14,X15] :
      ( c0_1(X14)
      | c1_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | c0_1(X15)
      | c2_1(X15)
      | ~ c1_1(X15)
      | ~ ndr1_0
      | c3_1(X16)
      | ~ c0_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c2_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | c0_1(X13)
      | ~ c2_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0
      | c2_1(X10)
      | ~ c0_1(X10)
      | ~ c1_1(X10)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp28
    | c3_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp28
    | c2_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp28
    | c1_1(a353) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp26
    | ~ c3_1(a349) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp26
    | ~ c2_1(a349) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp26
    | c0_1(a349) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp25
    | ~ c3_1(a346) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp25
    | ~ c1_1(a346) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp25
    | ~ c0_1(a346) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp22
    | ~ c3_1(a338) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp22
    | ~ c2_1(a338) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp22
    | ~ c1_1(a338) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp21
    | ~ c1_1(a336) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp21
    | ~ c0_1(a336) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp21
    | c3_1(a336) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp20
    | ~ c3_1(a333) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp20
    | ~ c2_1(a333) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp20
    | c1_1(a333) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp19
    | ~ c3_1(a330) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp19
    | c2_1(a330) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp19
    | c1_1(a330) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp17
    | ~ c3_1(a323) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp17
    | c2_1(a323) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp17
    | c0_1(a323) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp16
    | ~ c1_1(a321) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp16
    | c3_1(a321) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp16
    | c2_1(a321) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp15
    | ~ c2_1(a320) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp15
    | ~ c0_1(a320) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp15
    | c1_1(a320) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp14
    | ~ c0_1(a315) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp14
    | c2_1(a315) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp14
    | c1_1(a315) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp13
    | ~ c1_1(a313) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp13
    | c3_1(a313) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp13
    | c0_1(a313) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp12
    | ~ c2_1(a310) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp12
    | ~ c0_1(a310) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp12
    | c3_1(a310) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp11
    | ~ c2_1(a309) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp11
    | c3_1(a309) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp11
    | c1_1(a309) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp10
    | c3_1(a308) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp10
    | c1_1(a308) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp4
    | ~ c2_1(a300) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp4
    | ~ c1_1(a300) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp4
    | ~ c0_1(a300) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp2
    | ~ c3_1(a297) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp2
    | ~ c0_1(a297) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp2
    | c1_1(a297) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp1
    | ~ c1_1(a295) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp1
    | c2_1(a295) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp1
    | c0_1(a295) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp0
    | ~ c3_1(a294) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp0
    | ~ c2_1(a294) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp0
    | ~ c0_1(a294) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( hskp0
    | c0_1(a294) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f188,plain,
    ( hskp0
    | ~ c2_1(a294) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f189,plain,
    ( hskp0
    | c3_1(a294) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f190,plain,
    ( ~ hskp1
    | ~ c0_1(a295) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f191,plain,
    ( ~ hskp1
    | c1_1(a295) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f192,plain,
    ( ~ hskp2
    | ~ c1_1(a297) ),
    inference(consistent_polarity_flipping,[],[f176]) ).

fof(f193,plain,
    ( ~ hskp2
    | c0_1(a297) ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f194,plain,
    ( ~ hskp2
    | c3_1(a297) ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f197,plain,
    ( ~ hskp4
    | c0_1(a300) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f198,plain,
    ( ~ hskp4
    | c1_1(a300) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f212,plain,
    ( ~ hskp10
    | ~ c1_1(a308) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f213,plain,
    ( ~ hskp10
    | ~ c3_1(a308) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f216,plain,
    ( hskp11
    | ~ c1_1(a309) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f217,plain,
    ( hskp11
    | ~ c3_1(a309) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f218,plain,
    ( hskp11
    | ~ c2_1(a309) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f219,plain,
    ( hskp12
    | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f220,plain,
    ( hskp12
    | ~ c3_1(a310) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f221,plain,
    ( hskp12
    | c0_1(a310) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f222,plain,
    ( hskp12
    | ~ c2_1(a310) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f223,plain,
    ( ~ hskp13
    | ~ c0_1(a313) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f224,plain,
    ( ~ hskp13
    | ~ c3_1(a313) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f225,plain,
    ( ~ hskp13
    | c1_1(a313) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f227,plain,
    ( hskp14
    | ~ c1_1(a315) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f228,plain,
    ( hskp14
    | c2_1(a315) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f229,plain,
    ( hskp14
    | c0_1(a315) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f231,plain,
    ( hskp15
    | ~ c1_1(a320) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f232,plain,
    ( hskp15
    | c0_1(a320) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f233,plain,
    ( hskp15
    | ~ c2_1(a320) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f234,plain,
    ( ~ hskp16
    | ~ c3_1(a321) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f235,plain,
    ( ~ hskp16
    | c1_1(a321) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f237,plain,
    ( hskp17
    | ~ c0_1(a323) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f238,plain,
    ( hskp17
    | c2_1(a323) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f239,plain,
    ( hskp17
    | c3_1(a323) ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f244,plain,
    ( ~ hskp19
    | ~ c1_1(a330) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f245,plain,
    ( ~ hskp19
    | c3_1(a330) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f246,plain,
    ( ~ hskp20
    | ~ c1_1(a333) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f247,plain,
    ( ~ hskp20
    | c3_1(a333) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f249,plain,
    ( hskp21
    | ~ c3_1(a336) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f250,plain,
    ( hskp21
    | c0_1(a336) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f251,plain,
    ( hskp21
    | c1_1(a336) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f252,plain,
    ( ~ hskp22
    | c1_1(a338) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f253,plain,
    ( ~ hskp22
    | c3_1(a338) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f262,plain,
    ( ~ hskp25
    | c0_1(a346) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f263,plain,
    ( ~ hskp25
    | c1_1(a346) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f264,plain,
    ( ~ hskp25
    | c3_1(a346) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f265,plain,
    ( ~ hskp26
    | ~ c0_1(a349) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f266,plain,
    ( ~ hskp26
    | c3_1(a349) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f269,plain,
    ( ~ hskp28
    | ~ c1_1(a353) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f270,plain,
    ( ~ hskp28
    | ~ c3_1(a353) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f273,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | c1_1(X2)
      | ~ c2_1(X2)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f276,plain,
    ! [X10,X9] :
      ( ~ c0_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0
      | c2_1(X10)
      | c0_1(X10)
      | c1_1(X10)
      | ~ ndr1_0
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f277,plain,
    ! [X11,X12,X13] :
      ( ~ c0_1(X11)
      | ~ c1_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | ~ c0_1(X12)
      | c2_1(X12)
      | ~ c3_1(X12)
      | ~ ndr1_0
      | ~ c0_1(X13)
      | ~ c2_1(X13)
      | c3_1(X13)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f278,plain,
    ! [X16,X14,X15] :
      ( ~ c0_1(X14)
      | ~ c1_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | ~ c0_1(X15)
      | c2_1(X15)
      | c1_1(X15)
      | ~ ndr1_0
      | ~ c3_1(X16)
      | c0_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f279,plain,
    ! [X18,X19,X17] :
      ( ~ c0_1(X17)
      | ~ c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c2_1(X18)
      | c1_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X19)
      | c1_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f280,plain,
    ! [X21,X20] :
      ( ~ c0_1(X20)
      | ~ c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | ~ c1_1(X21)
      | ~ c2_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | hskp1 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f281,plain,
    ! [X22,X23] :
      ( ~ c0_1(X22)
      | ~ c1_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | c2_1(X23)
      | c1_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f282,plain,
    ! [X24] :
      ( ~ c0_1(X24)
      | ~ c1_1(X24)
      | c3_1(X24)
      | ~ ndr1_0
      | hskp2
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f283,plain,
    ! [X26,X27,X25] :
      ( ~ c0_1(X25)
      | c2_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | ~ c0_1(X26)
      | c2_1(X26)
      | c1_1(X26)
      | ~ ndr1_0
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | c3_1(X27)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f292,plain,
    ! [X43] :
      ( ~ c0_1(X43)
      | c2_1(X43)
      | c3_1(X43)
      | ~ ndr1_0
      | hskp10
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f295,plain,
    ! [X48,X49] :
      ( ~ c0_1(X48)
      | c1_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | c2_1(X49)
      | ~ c3_1(X49)
      | c0_1(X49)
      | ~ ndr1_0
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f296,plain,
    ! [X50,X51] :
      ( ~ c0_1(X50)
      | c1_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | c0_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f298,plain,
    ! [X54] :
      ( ~ c0_1(X54)
      | ~ c2_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | ~ hskp14
      | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f302,plain,
    ! [X60] :
      ( ~ c1_1(X60)
      | c2_1(X60)
      | c3_1(X60)
      | ~ ndr1_0
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f304,plain,
    ! [X63,X64] :
      ( ~ c1_1(X63)
      | ~ c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0
      | c2_1(X64)
      | ~ c3_1(X64)
      | c1_1(X64)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f306,plain,
    ! [X67] :
      ( ~ c1_1(X67)
      | ~ c3_1(X67)
      | ~ c2_1(X67)
      | ~ ndr1_0
      | ~ hskp11
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f307,plain,
    ! [X68,X69] :
      ( ~ c1_1(X68)
      | c0_1(X68)
      | ~ c2_1(X68)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | c0_1(X69)
      | c3_1(X69)
      | ~ ndr1_0
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f309,plain,
    ! [X71] :
      ( ~ c1_1(X71)
      | c0_1(X71)
      | ~ c2_1(X71)
      | ~ ndr1_0
      | hskp19
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f310,plain,
    ! [X72] :
      ( ~ c1_1(X72)
      | c0_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | ~ hskp11
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f312,plain,
    ! [X74] :
      ( c2_1(X74)
      | ~ c3_1(X74)
      | c0_1(X74)
      | ~ ndr1_0
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f314,plain,
    ! [X78,X79] :
      ( c2_1(X78)
      | ~ c3_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | c0_1(X79)
      | c1_1(X79)
      | c3_1(X79)
      | ~ ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f315,plain,
    ! [X80] :
      ( c2_1(X80)
      | ~ c3_1(X80)
      | c1_1(X80)
      | ~ ndr1_0
      | hskp22 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f316,plain,
    ! [X82,X81] :
      ( c2_1(X81)
      | c1_1(X81)
      | c3_1(X81)
      | ~ ndr1_0
      | c0_1(X82)
      | ~ c2_1(X82)
      | c3_1(X82)
      | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f317,plain,
    ! [X83] :
      ( ~ c3_1(X83)
      | c0_1(X83)
      | c1_1(X83)
      | ~ ndr1_0
      | ~ hskp17
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f319,plain,
    ! [X86,X85] :
      ( ~ c3_1(X85)
      | c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | c0_1(X86)
      | ~ c2_1(X86)
      | c3_1(X86)
      | ~ ndr1_0
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f321,plain,
    ! [X89] :
      ( ~ c3_1(X89)
      | c1_1(X89)
      | ~ c2_1(X89)
      | ~ ndr1_0
      | ~ hskp15
      | hskp25 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f325,plain,
    ! [X93] :
      ( c1_1(X93)
      | ~ c2_1(X93)
      | c3_1(X93)
      | ~ ndr1_0
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f329,plain,
    ( hskp26
    | ~ hskp11
    | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f330,plain,
    ( hskp20
    | ~ hskp12
    | hskp25 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f332,plain,
    ! [X86,X85] :
      ( ~ c3_1(X85)
      | c0_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0
      | c0_1(X86)
      | ~ c2_1(X86)
      | c3_1(X86)
      | ~ hskp11 ),
    inference(duplicate_literal_removal,[],[f319]) ).

fof(f333,plain,
    ! [X82,X81] :
      ( c2_1(X81)
      | c1_1(X81)
      | c3_1(X81)
      | ~ ndr1_0
      | c0_1(X82)
      | ~ c2_1(X82)
      | c3_1(X82) ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f334,plain,
    ! [X78,X79] :
      ( c2_1(X78)
      | ~ c3_1(X78)
      | c1_1(X78)
      | ~ ndr1_0
      | c0_1(X79)
      | c1_1(X79)
      | c3_1(X79)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f314]) ).

fof(f336,plain,
    ! [X68,X69] :
      ( ~ c1_1(X68)
      | c0_1(X68)
      | ~ c2_1(X68)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | c0_1(X69)
      | c3_1(X69)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f338,plain,
    ! [X63,X64] :
      ( ~ c1_1(X63)
      | ~ c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0
      | c2_1(X64)
      | ~ c3_1(X64)
      | c1_1(X64)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f304]) ).

fof(f343,plain,
    ! [X50,X51] :
      ( ~ c0_1(X50)
      | c1_1(X50)
      | ~ c2_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | c0_1(X51)
      | c1_1(X51)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f344,plain,
    ! [X48,X49] :
      ( ~ c0_1(X48)
      | c1_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | c2_1(X49)
      | ~ c3_1(X49)
      | c0_1(X49)
      | ~ hskp12 ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f353,plain,
    ! [X26,X27,X25] :
      ( ~ c0_1(X25)
      | c2_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0
      | ~ c0_1(X26)
      | c2_1(X26)
      | c1_1(X26)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | c3_1(X27) ),
    inference(duplicate_literal_removal,[],[f283]) ).

fof(f354,plain,
    ! [X22,X23] :
      ( ~ c0_1(X22)
      | ~ c1_1(X22)
      | c3_1(X22)
      | ~ ndr1_0
      | c2_1(X23)
      | c1_1(X23)
      | c3_1(X23)
      | ~ hskp0 ),
    inference(duplicate_literal_removal,[],[f281]) ).

fof(f355,plain,
    ! [X21,X20] :
      ( ~ c0_1(X20)
      | ~ c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | ~ c1_1(X21)
      | ~ c2_1(X21)
      | c3_1(X21)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f280]) ).

fof(f356,plain,
    ! [X18,X19,X17] :
      ( ~ c0_1(X17)
      | ~ c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c2_1(X18)
      | c1_1(X18)
      | ~ c3_1(X19)
      | c1_1(X19)
      | ~ c2_1(X19) ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f357,plain,
    ! [X16,X14,X15] :
      ( ~ c0_1(X14)
      | ~ c1_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0
      | ~ c0_1(X15)
      | c2_1(X15)
      | c1_1(X15)
      | ~ c3_1(X16)
      | c0_1(X16)
      | ~ c2_1(X16) ),
    inference(duplicate_literal_removal,[],[f278]) ).

fof(f358,plain,
    ! [X11,X12,X13] :
      ( ~ c0_1(X11)
      | ~ c1_1(X11)
      | ~ c3_1(X11)
      | ~ ndr1_0
      | ~ c0_1(X12)
      | c2_1(X12)
      | ~ c3_1(X12)
      | ~ c0_1(X13)
      | ~ c2_1(X13)
      | c3_1(X13) ),
    inference(duplicate_literal_removal,[],[f277]) ).

fof(f359,plain,
    ! [X10,X9] :
      ( ~ c0_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0
      | c2_1(X10)
      | c0_1(X10)
      | c1_1(X10)
      | ~ hskp0 ),
    inference(duplicate_literal_removal,[],[f276]) ).

fof(f362,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | c1_1(X2)
      | ~ c2_1(X2) ),
    inference(duplicate_literal_removal,[],[f273]) ).

fof(f364,definition,
    ( spl0_1
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f368,definition,
    ( spl0_2
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f372,definition,
    ( spl0_3
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f375,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f330,f372,f368,f364]) ).

fof(f377,definition,
    ( spl0_4
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f381,definition,
    ( spl0_5
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f384,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f381,f377]) ).

fof(f386,definition,
    ( spl0_6
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f389,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f329,f381,f386,f368]) ).

fof(f395,definition,
    ( spl0_8
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f412,definition,
    ( spl0_12
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f417,definition,
    ( spl0_13
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f421,definition,
    ( spl0_14
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f439,definition,
    ( spl0_18
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f443,definition,
    ( spl0_19
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f447,definition,
    ( spl0_20
  <=> ! [X93] :
        ( c1_1(X93)
        | c3_1(X93)
        | ~ c2_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f448,plain,
    ( ! [X93] :
        ( c1_1(X93)
        | c3_1(X93)
        | ~ c2_1(X93) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f449,plain,
    ( spl0_18
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f325,f447,f443,f439]) ).

fof(f451,definition,
    ( spl0_21
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f455,definition,
    ( spl0_22
  <=> ! [X92] :
        ( c0_1(X92)
        | c3_1(X92)
        | c1_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X92] :
        ( c1_1(X92)
        | c3_1(X92)
        | c0_1(X92) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f468,definition,
    ( spl0_25
  <=> ! [X89] :
        ( ~ c3_1(X89)
        | ~ c2_1(X89)
        | c1_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f469,plain,
    ( ! [X89] :
        ( c1_1(X89)
        | ~ c2_1(X89)
        | ~ c3_1(X89) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f470,plain,
    ( spl0_1
    | ~ spl0_8
    | ~ spl0_19
    | spl0_25 ),
    inference(avatar_split_clause,[],[f321,f468,f443,f395,f364]) ).

fof(f472,definition,
    ( spl0_26
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f477,definition,
    ( spl0_27
  <=> ! [X86] :
        ( c0_1(X86)
        | c3_1(X86)
        | ~ c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f478,plain,
    ( ! [X86] :
        ( c3_1(X86)
        | c0_1(X86)
        | ~ c2_1(X86) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f480,definition,
    ( spl0_28
  <=> ! [X85] :
        ( ~ c3_1(X85)
        | ~ c2_1(X85)
        | c0_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f481,plain,
    ( ! [X85] :
        ( ~ c3_1(X85)
        | ~ c2_1(X85)
        | c0_1(X85) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f482,plain,
    ( ~ spl0_6
    | spl0_27
    | ~ spl0_19
    | spl0_28 ),
    inference(avatar_split_clause,[],[f332,f480,f443,f477,f386]) ).

fof(f484,definition,
    ( spl0_29
  <=> ! [X84] :
        ( ~ c3_1(X84)
        | c1_1(X84)
        | c0_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X84] :
        ( c1_1(X84)
        | ~ c3_1(X84)
        | c0_1(X84) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f487,plain,
    ( spl0_26
    | ~ spl0_12
    | ~ spl0_19
    | spl0_29 ),
    inference(avatar_split_clause,[],[f317,f484,f443,f412,f472]) ).

fof(f489,definition,
    ( spl0_30
  <=> ! [X81] :
        ( c2_1(X81)
        | c3_1(X81)
        | c1_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f490,plain,
    ( ! [X81] :
        ( c1_1(X81)
        | c3_1(X81)
        | c2_1(X81) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f489]) ).

fof(f491,plain,
    ( spl0_27
    | ~ spl0_19
    | spl0_30 ),
    inference(avatar_split_clause,[],[f333,f489,f443,f477]) ).

fof(f493,definition,
    ( spl0_31
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f497,definition,
    ( spl0_32
  <=> ! [X80] :
        ( c2_1(X80)
        | c1_1(X80)
        | ~ c3_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f498,plain,
    ( ! [X80] :
        ( c1_1(X80)
        | c2_1(X80)
        | ~ c3_1(X80) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f499,plain,
    ( spl0_31
    | ~ spl0_19
    | spl0_32 ),
    inference(avatar_split_clause,[],[f315,f497,f443,f493]) ).

fof(f500,plain,
    ( ~ spl0_12
    | spl0_22
    | ~ spl0_19
    | spl0_32 ),
    inference(avatar_split_clause,[],[f334,f497,f443,f455,f412]) ).

fof(f503,definition,
    ( spl0_33
  <=> ! [X74] :
        ( c2_1(X74)
        | c0_1(X74)
        | ~ c3_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f504,plain,
    ( ! [X74] :
        ( ~ c3_1(X74)
        | c0_1(X74)
        | c2_1(X74) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f505,plain,
    ( ~ spl0_21
    | ~ spl0_19
    | spl0_33 ),
    inference(avatar_split_clause,[],[f312,f503,f443,f451]) ).

fof(f511,definition,
    ( spl0_35
  <=> ! [X73] :
        ( ~ c1_1(X73)
        | c3_1(X73)
        | ~ c2_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f512,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c3_1(X73)
        | ~ c2_1(X73) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f515,definition,
    ( spl0_36
  <=> ! [X72] :
        ( ~ c1_1(X72)
        | ~ c2_1(X72)
        | c0_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f516,plain,
    ( ! [X72] :
        ( ~ c1_1(X72)
        | ~ c2_1(X72)
        | c0_1(X72) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f517,plain,
    ( spl0_3
    | ~ spl0_6
    | ~ spl0_19
    | spl0_36 ),
    inference(avatar_split_clause,[],[f310,f515,f443,f386,f372]) ).

fof(f519,definition,
    ( spl0_37
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f522,plain,
    ( ~ spl0_2
    | spl0_37
    | ~ spl0_19
    | spl0_36 ),
    inference(avatar_split_clause,[],[f309,f515,f443,f519,f368]) ).

fof(f529,definition,
    ( spl0_39
  <=> ! [X69] :
        ( ~ c1_1(X69)
        | c3_1(X69)
        | c0_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f530,plain,
    ( ! [X69] :
        ( ~ c1_1(X69)
        | c3_1(X69)
        | c0_1(X69) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f531,plain,
    ( spl0_26
    | spl0_39
    | ~ spl0_19
    | spl0_36 ),
    inference(avatar_split_clause,[],[f336,f515,f443,f529,f472]) ).

fof(f533,definition,
    ( spl0_40
  <=> ! [X67] :
        ( ~ c1_1(X67)
        | ~ c2_1(X67)
        | ~ c3_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f534,plain,
    ( ! [X67] :
        ( ~ c1_1(X67)
        | ~ c2_1(X67)
        | ~ c3_1(X67) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f535,plain,
    ( spl0_4
    | ~ spl0_6
    | ~ spl0_19
    | spl0_40 ),
    inference(avatar_split_clause,[],[f306,f533,f443,f386,f377]) ).

fof(f538,definition,
    ( spl0_41
  <=> ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | ~ c3_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f539,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | ~ c3_1(X63) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f540,plain,
    ( ~ spl0_12
    | spl0_32
    | ~ spl0_19
    | spl0_41 ),
    inference(avatar_split_clause,[],[f338,f538,f443,f497,f412]) ).

fof(f542,definition,
    ( spl0_42
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f547,definition,
    ( spl0_43
  <=> ! [X60] :
        ( ~ c1_1(X60)
        | c3_1(X60)
        | c2_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f548,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | c3_1(X60)
        | c2_1(X60) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f549,plain,
    ( spl0_4
    | ~ spl0_19
    | spl0_43 ),
    inference(avatar_split_clause,[],[f302,f547,f443,f377]) ).

fof(f552,definition,
    ( spl0_44
  <=> ! [X58] :
        ( c2_1(X58)
        | c1_1(X58)
        | c0_1(X58) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f553,plain,
    ( ! [X58] :
        ( c1_1(X58)
        | c2_1(X58)
        | c0_1(X58) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f556,definition,
    ( spl0_45
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f564,definition,
    ( spl0_47
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f568,definition,
    ( spl0_48
  <=> ! [X54] :
        ( ~ c0_1(X54)
        | c3_1(X54)
        | ~ c2_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f569,plain,
    ( ! [X54] :
        ( c3_1(X54)
        | ~ c0_1(X54)
        | ~ c2_1(X54) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f570,plain,
    ( ~ spl0_47
    | ~ spl0_45
    | ~ spl0_19
    | spl0_48 ),
    inference(avatar_split_clause,[],[f298,f568,f443,f556,f564]) ).

fof(f573,definition,
    ( spl0_49
  <=> ! [X50] :
        ( ~ c0_1(X50)
        | ~ c2_1(X50)
        | c1_1(X50) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f574,plain,
    ( ! [X50] :
        ( c1_1(X50)
        | ~ c2_1(X50)
        | ~ c0_1(X50) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f575,plain,
    ( spl0_42
    | spl0_29
    | ~ spl0_19
    | spl0_49 ),
    inference(avatar_split_clause,[],[f343,f573,f443,f484,f542]) ).

fof(f576,plain,
    ( ~ spl0_2
    | spl0_33
    | ~ spl0_19
    | spl0_49 ),
    inference(avatar_split_clause,[],[f344,f573,f443,f503,f368]) ).

fof(f586,definition,
    ( spl0_52
  <=> ! [X43] :
        ( ~ c0_1(X43)
        | c3_1(X43)
        | c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f587,plain,
    ( ! [X43] :
        ( c3_1(X43)
        | ~ c0_1(X43)
        | c2_1(X43) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f588,plain,
    ( ~ spl0_6
    | spl0_13
    | ~ spl0_19
    | spl0_52 ),
    inference(avatar_split_clause,[],[f292,f586,f443,f417,f386]) ).

fof(f595,definition,
    ( spl0_54
  <=> ! [X40] :
        ( ~ c0_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f596,plain,
    ( ! [X40] :
        ( c1_1(X40)
        | ~ c0_1(X40)
        | c2_1(X40) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f608,definition,
    ( spl0_56
  <=> ! [X25] :
        ( ~ c0_1(X25)
        | ~ c3_1(X25)
        | c2_1(X25) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f609,plain,
    ( ! [X25] :
        ( ~ c3_1(X25)
        | ~ c0_1(X25)
        | c2_1(X25) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f610,plain,
    ( spl0_35
    | spl0_54
    | ~ spl0_19
    | spl0_56 ),
    inference(avatar_split_clause,[],[f353,f608,f443,f595,f511]) ).

fof(f612,definition,
    ( spl0_57
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f616,definition,
    ( spl0_58
  <=> ! [X24] :
        ( ~ c0_1(X24)
        | c3_1(X24)
        | ~ c1_1(X24) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f617,plain,
    ( ! [X24] :
        ( ~ c1_1(X24)
        | c3_1(X24)
        | ~ c0_1(X24) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f618,plain,
    ( ~ spl0_47
    | spl0_57
    | ~ spl0_19
    | spl0_58 ),
    inference(avatar_split_clause,[],[f282,f616,f443,f612,f564]) ).

fof(f619,plain,
    ( ~ spl0_47
    | spl0_30
    | ~ spl0_19
    | spl0_58 ),
    inference(avatar_split_clause,[],[f354,f616,f443,f489,f564]) ).

fof(f621,definition,
    ( spl0_59
  <=> ! [X20] :
        ( ~ c0_1(X20)
        | ~ c2_1(X20)
        | ~ c1_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f622,plain,
    ( ! [X20] :
        ( ~ c1_1(X20)
        | ~ c2_1(X20)
        | ~ c0_1(X20) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f623,plain,
    ( spl0_14
    | spl0_35
    | ~ spl0_19
    | spl0_59 ),
    inference(avatar_split_clause,[],[f355,f621,f443,f511,f421]) ).

fof(f624,plain,
    ( spl0_25
    | spl0_54
    | ~ spl0_19
    | spl0_59 ),
    inference(avatar_split_clause,[],[f356,f621,f443,f595,f468]) ).

fof(f626,definition,
    ( spl0_60
  <=> ! [X14] :
        ( ~ c0_1(X14)
        | ~ c3_1(X14)
        | ~ c1_1(X14) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f627,plain,
    ( ! [X14] :
        ( ~ c1_1(X14)
        | ~ c3_1(X14)
        | ~ c0_1(X14) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f628,plain,
    ( spl0_28
    | spl0_54
    | ~ spl0_19
    | spl0_60 ),
    inference(avatar_split_clause,[],[f357,f626,f443,f595,f480]) ).

fof(f629,plain,
    ( spl0_48
    | spl0_56
    | ~ spl0_19
    | spl0_60 ),
    inference(avatar_split_clause,[],[f358,f626,f443,f608,f568]) ).

fof(f631,definition,
    ( spl0_61
  <=> ! [X9] :
        ( ~ c0_1(X9)
        | c2_1(X9)
        | ~ c1_1(X9) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f632,plain,
    ( ! [X9] :
        ( ~ c1_1(X9)
        | c2_1(X9)
        | ~ c0_1(X9) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f631]) ).

fof(f633,plain,
    ( ~ spl0_47
    | spl0_44
    | ~ spl0_19
    | spl0_61 ),
    inference(avatar_split_clause,[],[f359,f631,f443,f552,f564]) ).

fof(f639,plain,
    ( spl0_49
    | spl0_56
    | ~ spl0_19
    | spl0_61 ),
    inference(avatar_split_clause,[],[f362,f631,f443,f608,f573]) ).

fof(f657,definition,
    ( spl0_66
  <=> c3_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f659,plain,
    ( ~ c3_1(a353)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f660,plain,
    ( ~ spl0_66
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f270,f439,f657]) ).

fof(f662,definition,
    ( spl0_67
  <=> c2_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f665,plain,
    ( spl0_67
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f71,f439,f662]) ).

fof(f667,definition,
    ( spl0_68
  <=> c1_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f669,plain,
    ( ~ c1_1(a353)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f670,plain,
    ( ~ spl0_68
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f269,f439,f667]) ).

fof(f689,definition,
    ( spl0_72
  <=> c3_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f691,plain,
    ( c3_1(a349)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f689]) ).

fof(f692,plain,
    ( spl0_72
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f266,f381,f689]) ).

fof(f694,definition,
    ( spl0_73
  <=> c2_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f697,plain,
    ( ~ spl0_73
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f79,f381,f694]) ).

fof(f699,definition,
    ( spl0_74
  <=> c0_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f702,plain,
    ( ~ spl0_74
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f265,f381,f699]) ).

fof(f705,definition,
    ( spl0_75
  <=> c3_1(a346) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f707,plain,
    ( c3_1(a346)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f708,plain,
    ( spl0_75
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f264,f364,f705]) ).

fof(f710,definition,
    ( spl0_76
  <=> c1_1(a346) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f712,plain,
    ( c1_1(a346)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f713,plain,
    ( spl0_76
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f263,f364,f710]) ).

fof(f715,definition,
    ( spl0_77
  <=> c0_1(a346) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f718,plain,
    ( spl0_77
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f262,f364,f715]) ).

fof(f719,plain,
    ( spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f85,f364,f443]) ).

fof(f753,definition,
    ( spl0_84
  <=> c3_1(a338) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f755,plain,
    ( c3_1(a338)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f756,plain,
    ( spl0_84
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f253,f493,f753]) ).

fof(f758,definition,
    ( spl0_85
  <=> c2_1(a338) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f761,plain,
    ( ~ spl0_85
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f95,f493,f758]) ).

fof(f763,definition,
    ( spl0_86
  <=> c1_1(a338) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f765,plain,
    ( c1_1(a338)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f766,plain,
    ( spl0_86
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f252,f493,f763]) ).

fof(f769,definition,
    ( spl0_87
  <=> c1_1(a336) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f771,plain,
    ( c1_1(a336)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f772,plain,
    ( spl0_87
    | spl0_21 ),
    inference(avatar_split_clause,[],[f251,f451,f769]) ).

fof(f774,definition,
    ( spl0_88
  <=> c0_1(a336) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f777,plain,
    ( spl0_88
    | spl0_21 ),
    inference(avatar_split_clause,[],[f250,f451,f774]) ).

fof(f779,definition,
    ( spl0_89
  <=> c3_1(a336) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f781,plain,
    ( ~ c3_1(a336)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f782,plain,
    ( ~ spl0_89
    | spl0_21 ),
    inference(avatar_split_clause,[],[f249,f451,f779]) ).

fof(f785,definition,
    ( spl0_90
  <=> c3_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f788,plain,
    ( spl0_90
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f247,f372,f785]) ).

fof(f790,definition,
    ( spl0_91
  <=> c2_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ spl0_91
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f103,f372,f790]) ).

fof(f795,definition,
    ( spl0_92
  <=> c1_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f797,plain,
    ( ~ c1_1(a333)
    | spl0_92 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f798,plain,
    ( ~ spl0_92
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f246,f372,f795]) ).

fof(f799,plain,
    ( spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f105,f372,f443]) ).

fof(f801,definition,
    ( spl0_93
  <=> c3_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f804,plain,
    ( spl0_93
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f245,f519,f801]) ).

fof(f806,definition,
    ( spl0_94
  <=> c2_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f809,plain,
    ( spl0_94
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f107,f519,f806]) ).

fof(f811,definition,
    ( spl0_95
  <=> c1_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f813,plain,
    ( ~ c1_1(a330)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f814,plain,
    ( ~ spl0_95
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f244,f519,f811]) ).

fof(f833,definition,
    ( spl0_99
  <=> c3_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f835,plain,
    ( c3_1(a323)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f836,plain,
    ( spl0_99
    | spl0_12 ),
    inference(avatar_split_clause,[],[f239,f412,f833]) ).

fof(f838,definition,
    ( spl0_100
  <=> c2_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f841,plain,
    ( spl0_100
    | spl0_12 ),
    inference(avatar_split_clause,[],[f238,f412,f838]) ).

fof(f843,definition,
    ( spl0_101
  <=> c0_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f846,plain,
    ( ~ spl0_101
    | spl0_12 ),
    inference(avatar_split_clause,[],[f237,f412,f843]) ).

fof(f849,definition,
    ( spl0_102
  <=> c1_1(a321) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f851,plain,
    ( c1_1(a321)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f852,plain,
    ( spl0_102
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f235,f377,f849]) ).

fof(f854,definition,
    ( spl0_103
  <=> c3_1(a321) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f856,plain,
    ( ~ c3_1(a321)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f857,plain,
    ( ~ spl0_103
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f234,f377,f854]) ).

fof(f859,definition,
    ( spl0_104
  <=> c2_1(a321) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f862,plain,
    ( spl0_104
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f120,f377,f859]) ).

fof(f865,definition,
    ( spl0_105
  <=> c2_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f868,plain,
    ( ~ spl0_105
    | spl0_8 ),
    inference(avatar_split_clause,[],[f233,f395,f865]) ).

fof(f870,definition,
    ( spl0_106
  <=> c0_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f873,plain,
    ( spl0_106
    | spl0_8 ),
    inference(avatar_split_clause,[],[f232,f395,f870]) ).

fof(f875,definition,
    ( spl0_107
  <=> c1_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ c1_1(a320)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f878,plain,
    ( ~ spl0_107
    | spl0_8 ),
    inference(avatar_split_clause,[],[f231,f395,f875]) ).

fof(f881,definition,
    ( spl0_108
  <=> c0_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f884,plain,
    ( spl0_108
    | spl0_45 ),
    inference(avatar_split_clause,[],[f229,f556,f881]) ).

fof(f886,definition,
    ( spl0_109
  <=> c2_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f889,plain,
    ( spl0_109
    | spl0_45 ),
    inference(avatar_split_clause,[],[f228,f556,f886]) ).

fof(f891,definition,
    ( spl0_110
  <=> c1_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f893,plain,
    ( ~ c1_1(a315)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f894,plain,
    ( ~ spl0_110
    | spl0_45 ),
    inference(avatar_split_clause,[],[f227,f556,f891]) ).

fof(f897,definition,
    ( spl0_111
  <=> c1_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f899,plain,
    ( c1_1(a313)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f900,plain,
    ( spl0_111
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f225,f542,f897]) ).

fof(f902,definition,
    ( spl0_112
  <=> c3_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ spl0_112
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f224,f542,f902]) ).

fof(f907,definition,
    ( spl0_113
  <=> c0_1(a313) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f910,plain,
    ( ~ spl0_113
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f223,f542,f907]) ).

fof(f913,definition,
    ( spl0_114
  <=> c2_1(a310) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f916,plain,
    ( ~ spl0_114
    | spl0_2 ),
    inference(avatar_split_clause,[],[f222,f368,f913]) ).

fof(f918,definition,
    ( spl0_115
  <=> c0_1(a310) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f921,plain,
    ( spl0_115
    | spl0_2 ),
    inference(avatar_split_clause,[],[f221,f368,f918]) ).

fof(f923,definition,
    ( spl0_116
  <=> c3_1(a310) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ c3_1(a310)
    | spl0_116 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f926,plain,
    ( ~ spl0_116
    | spl0_2 ),
    inference(avatar_split_clause,[],[f220,f368,f923]) ).

fof(f927,plain,
    ( spl0_19
    | spl0_2 ),
    inference(avatar_split_clause,[],[f219,f368,f443]) ).

fof(f929,definition,
    ( spl0_117
  <=> c2_1(a309) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f932,plain,
    ( ~ spl0_117
    | spl0_6 ),
    inference(avatar_split_clause,[],[f218,f386,f929]) ).

fof(f934,definition,
    ( spl0_118
  <=> c3_1(a309) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f937,plain,
    ( ~ spl0_118
    | spl0_6 ),
    inference(avatar_split_clause,[],[f217,f386,f934]) ).

fof(f939,definition,
    ( spl0_119
  <=> c1_1(a309) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f941,plain,
    ( ~ c1_1(a309)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f942,plain,
    ( ~ spl0_119
    | spl0_6 ),
    inference(avatar_split_clause,[],[f216,f386,f939]) ).

fof(f950,definition,
    ( spl0_121
  <=> c3_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f953,plain,
    ( ~ spl0_121
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f213,f417,f950]) ).

fof(f955,definition,
    ( spl0_122
  <=> c1_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f957,plain,
    ( ~ c1_1(a308)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f958,plain,
    ( ~ spl0_122
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f212,f417,f955]) ).

fof(f1041,definition,
    ( spl0_138
  <=> c2_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1044,plain,
    ( ~ spl0_138
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f166,f472,f1041]) ).

fof(f1046,definition,
    ( spl0_139
  <=> c1_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1048,plain,
    ( c1_1(a300)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f1049,plain,
    ( spl0_139
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f198,f472,f1046]) ).

fof(f1051,definition,
    ( spl0_140
  <=> c0_1(a300) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1054,plain,
    ( spl0_140
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f197,f472,f1051]) ).

fof(f1073,definition,
    ( spl0_144
  <=> c3_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1075,plain,
    ( c3_1(a297)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1076,plain,
    ( spl0_144
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f194,f612,f1073]) ).

fof(f1078,definition,
    ( spl0_145
  <=> c0_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1081,plain,
    ( spl0_145
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f193,f612,f1078]) ).

fof(f1083,definition,
    ( spl0_146
  <=> c1_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1085,plain,
    ( ~ c1_1(a297)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1086,plain,
    ( ~ spl0_146
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f192,f612,f1083]) ).

fof(f1089,definition,
    ( spl0_147
  <=> c1_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1091,plain,
    ( c1_1(a295)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f1089]) ).

fof(f1092,plain,
    ( spl0_147
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f191,f421,f1089]) ).

fof(f1094,definition,
    ( spl0_148
  <=> c2_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1097,plain,
    ( spl0_148
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f179,f421,f1094]) ).

fof(f1099,definition,
    ( spl0_149
  <=> c0_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1102,plain,
    ( ~ spl0_149
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f190,f421,f1099]) ).

fof(f1105,definition,
    ( spl0_150
  <=> c3_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1107,plain,
    ( c3_1(a294)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1105]) ).

fof(f1108,plain,
    ( spl0_150
    | spl0_47 ),
    inference(avatar_split_clause,[],[f189,f564,f1105]) ).

fof(f1110,definition,
    ( spl0_151
  <=> c2_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1113,plain,
    ( ~ spl0_151
    | spl0_47 ),
    inference(avatar_split_clause,[],[f188,f564,f1110]) ).

fof(f1115,definition,
    ( spl0_152
  <=> c0_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1118,plain,
    ( spl0_152
    | spl0_47 ),
    inference(avatar_split_clause,[],[f187,f564,f1115]) ).

fof(f1128,plain,
    ( c3_1(a308)
    | ~ c2_1(a308)
    | ~ spl0_20
    | spl0_122 ),
    inference(resolution,[],[f448,f957]) ).

fof(f1147,definition,
    ( spl0_154
  <=> c2_1(a346) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1152,definition,
    ( spl0_155
  <=> c2_1(a336) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1162,definition,
    ( spl0_157
  <=> c2_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1165,plain,
    ( ~ spl0_157
    | spl0_121
    | ~ spl0_20
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1128,f955,f447,f950,f1162]) ).

fof(f1172,definition,
    ( spl0_159
  <=> c2_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1199,definition,
    ( spl0_160
  <=> c0_1(a353) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1205,definition,
    ( spl0_161
  <=> c0_1(a338) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1216,definition,
    ( spl0_163
  <=> c0_1(a321) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1312,plain,
    ( ~ c2_1(a297)
    | ~ c3_1(a297)
    | ~ spl0_25
    | spl0_146 ),
    inference(resolution,[],[f469,f1085]) ).

fof(f1325,plain,
    ( ~ c2_1(a330)
    | ~ c3_1(a330)
    | ~ spl0_25
    | spl0_95 ),
    inference(resolution,[],[f469,f813]) ).

fof(f1347,plain,
    ( ~ c3_1(a333)
    | c0_1(a333)
    | ~ spl0_29
    | spl0_92 ),
    inference(resolution,[],[f485,f797]) ).

fof(f1352,definition,
    ( spl0_173
  <=> c0_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1364,plain,
    ( c3_1(a308)
    | c2_1(a308)
    | ~ spl0_30
    | spl0_122 ),
    inference(resolution,[],[f490,f957]) ).

fof(f1365,plain,
    ( c3_1(a309)
    | c2_1(a309)
    | ~ spl0_30
    | spl0_119 ),
    inference(resolution,[],[f490,f941]) ).

fof(f1384,plain,
    ( spl0_157
    | spl0_121
    | ~ spl0_30
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1364,f955,f489,f950,f1162]) ).

fof(f1416,plain,
    ( ~ c2_1(a323)
    | c0_1(a323)
    | ~ spl0_28
    | ~ spl0_99 ),
    inference(resolution,[],[f835,f481]) ).

fof(f1417,plain,
    ( spl0_101
    | ~ spl0_100
    | ~ spl0_28
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1416,f833,f480,f838,f843]) ).

fof(f1436,plain,
    ( c2_1(a333)
    | ~ c3_1(a333)
    | ~ spl0_32
    | spl0_92 ),
    inference(resolution,[],[f498,f797]) ).

fof(f1481,plain,
    ( c0_1(a338)
    | c2_1(a338)
    | ~ spl0_33
    | ~ spl0_84 ),
    inference(resolution,[],[f504,f755]) ).

fof(f1482,plain,
    ( c0_1(a349)
    | c2_1(a349)
    | ~ spl0_33
    | ~ spl0_72 ),
    inference(resolution,[],[f504,f691]) ).

fof(f1485,plain,
    ( spl0_73
    | spl0_74
    | ~ spl0_33
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1482,f689,f503,f699,f694]) ).

fof(f1486,plain,
    ( spl0_85
    | spl0_161
    | ~ spl0_33
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1481,f753,f503,f1205,f758]) ).

fof(f1528,plain,
    ( ~ c2_1(a295)
    | c0_1(a295)
    | ~ spl0_36
    | ~ spl0_147 ),
    inference(resolution,[],[f516,f1091]) ).

fof(f1533,plain,
    ( ~ c2_1(a321)
    | c0_1(a321)
    | ~ spl0_36
    | ~ spl0_102 ),
    inference(resolution,[],[f516,f851]) ).

fof(f1546,plain,
    ( spl0_149
    | ~ spl0_148
    | ~ spl0_36
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1528,f1089,f515,f1094,f1099]) ).

fof(f1607,plain,
    ( ~ c2_1(a346)
    | ~ c3_1(a346)
    | ~ spl0_40
    | ~ spl0_76 ),
    inference(resolution,[],[f534,f712]) ).

fof(f1619,plain,
    ( c0_1(a338)
    | ~ c3_1(a338)
    | ~ spl0_41
    | ~ spl0_86 ),
    inference(resolution,[],[f539,f765]) ).

fof(f1623,plain,
    ( ~ spl0_84
    | spl0_161
    | ~ spl0_41
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1619,f763,f538,f1205,f753]) ).

fof(f1635,plain,
    ( c3_1(a336)
    | c2_1(a336)
    | ~ spl0_43
    | ~ spl0_87 ),
    inference(resolution,[],[f548,f771]) ).

fof(f1643,plain,
    ( spl0_155
    | spl0_89
    | ~ spl0_43
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1635,f769,f547,f779,f1152]) ).

fof(f1646,plain,
    ( spl0_163
    | ~ spl0_104
    | ~ spl0_36
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1533,f849,f515,f859,f1216]) ).

fof(f1660,plain,
    ( c2_1(a333)
    | c0_1(a333)
    | ~ spl0_44
    | spl0_92 ),
    inference(resolution,[],[f553,f797]) ).

fof(f1682,plain,
    ( ~ c0_1(a321)
    | ~ c2_1(a321)
    | ~ spl0_48
    | spl0_103 ),
    inference(resolution,[],[f569,f856]) ).

fof(f1685,plain,
    ( ~ c0_1(a336)
    | ~ c2_1(a336)
    | ~ spl0_48
    | spl0_89 ),
    inference(resolution,[],[f569,f781]) ).

fof(f1689,plain,
    ( ~ spl0_104
    | ~ spl0_163
    | ~ spl0_48
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1682,f854,f568,f1216,f859]) ).

fof(f1706,plain,
    ( ~ c2_1(a353)
    | ~ c0_1(a353)
    | ~ spl0_49
    | spl0_68 ),
    inference(resolution,[],[f574,f669]) ).

fof(f1734,plain,
    ( ~ c0_1(a310)
    | c2_1(a310)
    | ~ spl0_52
    | spl0_116 ),
    inference(resolution,[],[f587,f925]) ).

fof(f1740,plain,
    ( ~ c0_1(a336)
    | c2_1(a336)
    | ~ spl0_52
    | spl0_89 ),
    inference(resolution,[],[f587,f781]) ).

fof(f1749,plain,
    ( spl0_155
    | ~ spl0_88
    | ~ spl0_52
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1740,f779,f586,f774,f1152]) ).

fof(f1762,plain,
    ( ~ c0_1(a333)
    | c2_1(a333)
    | ~ spl0_54
    | spl0_92 ),
    inference(resolution,[],[f596,f797]) ).

fof(f1765,plain,
    ( spl0_91
    | ~ spl0_173
    | ~ spl0_54
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1762,f795,f595,f1352,f790]) ).

fof(f1769,plain,
    ( ~ c0_1(a294)
    | c2_1(a294)
    | ~ spl0_56
    | ~ spl0_150 ),
    inference(resolution,[],[f609,f1107]) ).

fof(f1771,plain,
    ( ~ c0_1(a297)
    | c2_1(a297)
    | ~ spl0_56
    | ~ spl0_144 ),
    inference(resolution,[],[f609,f1075]) ).

fof(f1781,plain,
    ( ~ c0_1(a338)
    | c2_1(a338)
    | ~ spl0_56
    | ~ spl0_84 ),
    inference(resolution,[],[f609,f755]) ).

fof(f1782,plain,
    ( ~ c0_1(a346)
    | c2_1(a346)
    | ~ spl0_56
    | ~ spl0_75 ),
    inference(resolution,[],[f609,f707]) ).

fof(f1788,plain,
    ( spl0_154
    | ~ spl0_77
    | ~ spl0_56
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1782,f705,f608,f715,f1147]) ).

fof(f1789,plain,
    ( spl0_85
    | ~ spl0_161
    | ~ spl0_56
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1781,f753,f608,f1205,f758]) ).

fof(f1802,plain,
    ( c3_1(a321)
    | ~ c0_1(a321)
    | ~ spl0_58
    | ~ spl0_102 ),
    inference(resolution,[],[f617,f851]) ).

fof(f1803,plain,
    ( c3_1(a336)
    | ~ c0_1(a336)
    | ~ spl0_58
    | ~ spl0_87 ),
    inference(resolution,[],[f617,f771]) ).

fof(f1812,plain,
    ( ~ spl0_88
    | spl0_89
    | ~ spl0_58
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1803,f769,f616,f779,f774]) ).

fof(f1813,plain,
    ( ~ spl0_163
    | spl0_103
    | ~ spl0_58
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1802,f849,f616,f854,f1216]) ).

fof(f1829,plain,
    ( ~ c2_1(a321)
    | ~ c0_1(a321)
    | ~ spl0_59
    | ~ spl0_102 ),
    inference(resolution,[],[f622,f851]) ).

fof(f1830,plain,
    ( ~ c2_1(a336)
    | ~ c0_1(a336)
    | ~ spl0_59
    | ~ spl0_87 ),
    inference(resolution,[],[f622,f771]) ).

fof(f1837,plain,
    ( ~ spl0_88
    | ~ spl0_155
    | ~ spl0_59
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1830,f769,f621,f1152,f774]) ).

fof(f1838,plain,
    ( ~ spl0_163
    | ~ spl0_104
    | ~ spl0_59
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1829,f849,f621,f859,f1216]) ).

fof(f1847,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(resolution,[],[f512,f574]) ).

fof(f1856,plain,
    ( c3_1(a321)
    | ~ c2_1(a321)
    | ~ spl0_35
    | ~ spl0_102 ),
    inference(resolution,[],[f512,f851]) ).

fof(f1857,plain,
    ( c3_1(a336)
    | ~ c2_1(a336)
    | ~ spl0_35
    | ~ spl0_87 ),
    inference(resolution,[],[f512,f771]) ).

fof(f1864,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1847]) ).

fof(f1885,plain,
    ( ~ spl0_155
    | spl0_89
    | ~ spl0_35
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1857,f769,f511,f779,f1152]) ).

fof(f1886,plain,
    ( ~ spl0_104
    | spl0_103
    | ~ spl0_35
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1856,f849,f511,f854,f859]) ).

fof(f1887,plain,
    ( spl0_48
    | ~ spl0_35
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1864,f573,f511,f568]) ).

fof(f1888,plain,
    ( spl0_114
    | ~ spl0_115
    | ~ spl0_52
    | spl0_116 ),
    inference(avatar_split_clause,[],[f1734,f923,f586,f918,f913]) ).

fof(f1889,plain,
    ( ~ spl0_160
    | ~ spl0_67
    | ~ spl0_49
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1706,f667,f573,f662,f1199]) ).

fof(f1891,plain,
    ( c0_1(a353)
    | ~ c2_1(a353)
    | ~ spl0_27
    | spl0_66 ),
    inference(resolution,[],[f659,f478]) ).

fof(f1892,plain,
    ( ~ spl0_67
    | spl0_160
    | ~ spl0_27
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1891,f657,f477,f1199,f662]) ).

fof(f1937,plain,
    ( c3_1(a353)
    | c0_1(a353)
    | ~ spl0_22
    | spl0_68 ),
    inference(resolution,[],[f456,f669]) ).

fof(f1948,plain,
    ( c0_1(a321)
    | ~ c2_1(a321)
    | ~ spl0_27
    | spl0_103 ),
    inference(resolution,[],[f478,f856]) ).

fof(f1966,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_54
    | ~ spl0_60 ),
    inference(resolution,[],[f627,f596]) ).

fof(f1981,plain,
    ( ~ c3_1(a346)
    | ~ c0_1(a346)
    | ~ spl0_60
    | ~ spl0_76 ),
    inference(resolution,[],[f627,f712]) ).

fof(f1982,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_54
    | ~ spl0_60 ),
    inference(duplicate_literal_removal,[],[f1966]) ).

fof(f1984,plain,
    ( ~ spl0_77
    | ~ spl0_75
    | ~ spl0_60
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1981,f710,f626,f705,f715]) ).

fof(f1989,plain,
    ( spl0_56
    | ~ spl0_54
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1982,f626,f595,f608]) ).

fof(f1991,plain,
    ( ~ spl0_75
    | ~ spl0_154
    | ~ spl0_40
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1607,f710,f533,f1147,f705]) ).

fof(f2004,plain,
    ( ~ c0_1(a320)
    | c2_1(a320)
    | ~ spl0_54
    | spl0_107 ),
    inference(resolution,[],[f877,f596]) ).

fof(f2006,plain,
    ( ~ c2_1(a315)
    | ~ c0_1(a315)
    | ~ spl0_49
    | spl0_110 ),
    inference(resolution,[],[f893,f574]) ).

fof(f2011,plain,
    ( ~ spl0_108
    | ~ spl0_109
    | ~ spl0_49
    | spl0_110 ),
    inference(avatar_split_clause,[],[f2006,f891,f573,f886,f881]) ).

fof(f2014,plain,
    ( spl0_173
    | ~ spl0_90
    | ~ spl0_29
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1347,f795,f484,f785,f1352]) ).

fof(f2018,plain,
    ( ~ spl0_90
    | spl0_91
    | ~ spl0_32
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1436,f795,f497,f790,f785]) ).

fof(f2024,plain,
    ( ~ spl0_155
    | ~ spl0_88
    | ~ spl0_48
    | spl0_89 ),
    inference(avatar_split_clause,[],[f1685,f779,f568,f774,f1152]) ).

fof(f2037,plain,
    ( spl0_105
    | ~ spl0_106
    | ~ spl0_54
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2004,f875,f595,f870,f865]) ).

fof(f2049,plain,
    ( spl0_160
    | spl0_66
    | ~ spl0_22
    | spl0_68 ),
    inference(avatar_split_clause,[],[f1937,f667,f455,f657,f1199]) ).

fof(f2051,plain,
    ( ~ spl0_144
    | ~ spl0_159
    | ~ spl0_25
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1312,f1083,f468,f1172,f1073]) ).

fof(f2053,plain,
    ( ~ spl0_93
    | ~ spl0_94
    | ~ spl0_25
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1325,f811,f468,f806,f801]) ).

fof(f2056,plain,
    ( spl0_117
    | spl0_118
    | ~ spl0_30
    | spl0_119 ),
    inference(avatar_split_clause,[],[f1365,f939,f489,f934,f929]) ).

fof(f2059,plain,
    ( spl0_151
    | ~ spl0_152
    | ~ spl0_56
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1769,f1105,f608,f1115,f1110]) ).

fof(f2060,plain,
    ( spl0_159
    | ~ spl0_145
    | ~ spl0_56
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1771,f1073,f608,f1078,f1172]) ).

fof(f2063,plain,
    ( ~ spl0_104
    | spl0_163
    | ~ spl0_27
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1948,f854,f477,f1216,f859]) ).

fof(f2065,plain,
    ( spl0_173
    | spl0_91
    | ~ spl0_44
    | spl0_92 ),
    inference(avatar_split_clause,[],[f1660,f795,f552,f790,f1352]) ).

fof(f2109,plain,
    ( c3_1(a313)
    | c0_1(a313)
    | ~ spl0_39
    | ~ spl0_111 ),
    inference(resolution,[],[f530,f899]) ).

fof(f2117,plain,
    ( spl0_113
    | spl0_112
    | ~ spl0_39
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2109,f897,f529,f902,f907]) ).

fof(f2176,plain,
    ( c2_1(a300)
    | ~ c0_1(a300)
    | ~ spl0_61
    | ~ spl0_139 ),
    inference(resolution,[],[f632,f1048]) ).

fof(f2189,plain,
    ( ~ spl0_140
    | spl0_138
    | ~ spl0_61
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2176,f1046,f631,f1041,f1051]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f384]) ).

cnf(s3,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f389]) ).

cnf(s8,plain,
    ( spl0_18
    | ~ spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s12,plain,
    ( spl0_1
    | ~ spl0_8
    | ~ spl0_19
    | spl0_25 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s14,plain,
    ( ~ spl0_6
    | ~ spl0_19
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s16,plain,
    ( ~ spl0_12
    | ~ spl0_19
    | spl0_26
    | spl0_29 ),
    inference(sat_conversion,[],[f487]) ).

cnf(s17,plain,
    ( ~ spl0_19
    | spl0_27
    | spl0_30 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s18,plain,
    ( ~ spl0_19
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s19,plain,
    ( ~ spl0_12
    | ~ spl0_19
    | spl0_22
    | spl0_32 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s21,plain,
    ( ~ spl0_19
    | ~ spl0_21
    | spl0_33 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s23,plain,
    ( spl0_3
    | ~ spl0_6
    | ~ spl0_19
    | spl0_36 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s24,plain,
    ( ~ spl0_2
    | ~ spl0_19
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s26,plain,
    ( ~ spl0_19
    | spl0_26
    | spl0_36
    | spl0_39 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s27,plain,
    ( spl0_4
    | ~ spl0_6
    | ~ spl0_19
    | spl0_40 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s29,plain,
    ( ~ spl0_12
    | ~ spl0_19
    | spl0_32
    | spl0_41 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s31,plain,
    ( spl0_4
    | ~ spl0_19
    | spl0_43 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s35,plain,
    ( ~ spl0_19
    | ~ spl0_45
    | ~ spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s37,plain,
    ( ~ spl0_19
    | spl0_29
    | spl0_42
    | spl0_49 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s38,plain,
    ( ~ spl0_2
    | ~ spl0_19
    | spl0_33
    | spl0_49 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s41,plain,
    ( ~ spl0_6
    | spl0_13
    | ~ spl0_19
    | spl0_52 ),
    inference(sat_conversion,[],[f588]) ).

cnf(s50,plain,
    ( ~ spl0_19
    | spl0_35
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s51,plain,
    ( ~ spl0_19
    | ~ spl0_47
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s52,plain,
    ( ~ spl0_19
    | spl0_30
    | ~ spl0_47
    | spl0_58 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s53,plain,
    ( spl0_14
    | ~ spl0_19
    | spl0_35
    | spl0_59 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s54,plain,
    ( ~ spl0_19
    | spl0_25
    | spl0_54
    | spl0_59 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s55,plain,
    ( ~ spl0_19
    | spl0_28
    | spl0_54
    | spl0_60 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s56,plain,
    ( ~ spl0_19
    | spl0_48
    | spl0_56
    | spl0_60 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s57,plain,
    ( ~ spl0_19
    | spl0_44
    | ~ spl0_47
    | spl0_61 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s60,plain,
    ( ~ spl0_19
    | spl0_49
    | spl0_56
    | spl0_61 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s65,plain,
    ( ~ spl0_18
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s66,plain,
    ( ~ spl0_18
    | spl0_67 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s67,plain,
    ( ~ spl0_18
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s73,plain,
    ( ~ spl0_5
    | spl0_72 ),
    inference(sat_conversion,[],[f692]) ).

cnf(s74,plain,
    ( ~ spl0_5
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s75,plain,
    ( ~ spl0_5
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s77,plain,
    ( ~ spl0_1
    | spl0_75 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s78,plain,
    ( ~ spl0_1
    | spl0_76 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s79,plain,
    ( ~ spl0_1
    | spl0_77 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s80,plain,
    ( ~ spl0_1
    | spl0_19 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s89,plain,
    ( ~ spl0_31
    | spl0_84 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s90,plain,
    ( ~ spl0_31
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s91,plain,
    ( ~ spl0_31
    | spl0_86 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s93,plain,
    ( spl0_21
    | spl0_87 ),
    inference(sat_conversion,[],[f772]) ).

cnf(s94,plain,
    ( spl0_21
    | spl0_88 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s95,plain,
    ( spl0_21
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s97,plain,
    ( ~ spl0_3
    | spl0_90 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s98,plain,
    ( ~ spl0_3
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s99,plain,
    ( ~ spl0_3
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s100,plain,
    ( ~ spl0_3
    | spl0_19 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s101,plain,
    ( ~ spl0_37
    | spl0_93 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s102,plain,
    ( ~ spl0_37
    | spl0_94 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s103,plain,
    ( ~ spl0_37
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s109,plain,
    ( spl0_12
    | spl0_99 ),
    inference(sat_conversion,[],[f836]) ).

cnf(s110,plain,
    ( spl0_12
    | spl0_100 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s111,plain,
    ( spl0_12
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s113,plain,
    ( ~ spl0_4
    | spl0_102 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s114,plain,
    ( ~ spl0_4
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s115,plain,
    ( ~ spl0_4
    | spl0_104 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s117,plain,
    ( spl0_8
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s118,plain,
    ( spl0_8
    | spl0_106 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s119,plain,
    ( spl0_8
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s121,plain,
    ( spl0_45
    | spl0_108 ),
    inference(sat_conversion,[],[f884]) ).

cnf(s122,plain,
    ( spl0_45
    | spl0_109 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s123,plain,
    ( spl0_45
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s125,plain,
    ( ~ spl0_42
    | spl0_111 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s126,plain,
    ( ~ spl0_42
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s127,plain,
    ( ~ spl0_42
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s129,plain,
    ( spl0_2
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s130,plain,
    ( spl0_2
    | spl0_115 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s131,plain,
    ( spl0_2
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s132,plain,
    ( spl0_2
    | spl0_19 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s133,plain,
    ( spl0_6
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s134,plain,
    ( spl0_6
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s135,plain,
    ( spl0_6
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s138,plain,
    ( ~ spl0_13
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s139,plain,
    ( ~ spl0_13
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s161,plain,
    ( ~ spl0_26
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s162,plain,
    ( ~ spl0_26
    | spl0_139 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s163,plain,
    ( ~ spl0_26
    | spl0_140 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s169,plain,
    ( ~ spl0_57
    | spl0_144 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s170,plain,
    ( ~ spl0_57
    | spl0_145 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s171,plain,
    ( ~ spl0_57
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s173,plain,
    ( ~ spl0_14
    | spl0_147 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s174,plain,
    ( ~ spl0_14
    | spl0_148 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s175,plain,
    ( ~ spl0_14
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1102]) ).

cnf(s177,plain,
    ( spl0_47
    | spl0_150 ),
    inference(sat_conversion,[],[f1108]) ).

cnf(s178,plain,
    ( spl0_47
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1113]) ).

cnf(s179,plain,
    ( spl0_47
    | spl0_152 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s185,plain,
    ( ~ spl0_20
    | spl0_121
    | spl0_122
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1165]) ).

cnf(s221,plain,
    ( ~ spl0_30
    | spl0_121
    | spl0_122
    | spl0_157 ),
    inference(sat_conversion,[],[f1384]) ).

cnf(s250,plain,
    ( ~ spl0_28
    | ~ spl0_99
    | ~ spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f1417]) ).

cnf(s268,plain,
    ( ~ spl0_33
    | ~ spl0_72
    | spl0_73
    | spl0_74 ),
    inference(sat_conversion,[],[f1485]) ).

cnf(s269,plain,
    ( ~ spl0_33
    | ~ spl0_84
    | spl0_85
    | spl0_161 ),
    inference(sat_conversion,[],[f1486]) ).

cnf(s289,plain,
    ( ~ spl0_36
    | ~ spl0_147
    | ~ spl0_148
    | spl0_149 ),
    inference(sat_conversion,[],[f1546]) ).

cnf(s305,plain,
    ( ~ spl0_41
    | ~ spl0_84
    | ~ spl0_86
    | spl0_161 ),
    inference(sat_conversion,[],[f1623]) ).

cnf(s308,plain,
    ( ~ spl0_43
    | ~ spl0_87
    | spl0_89
    | spl0_155 ),
    inference(sat_conversion,[],[f1643]) ).

cnf(s311,plain,
    ( ~ spl0_36
    | ~ spl0_102
    | ~ spl0_104
    | spl0_163 ),
    inference(sat_conversion,[],[f1646]) ).

cnf(s324,plain,
    ( ~ spl0_48
    | spl0_103
    | ~ spl0_104
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1689]) ).

cnf(s329,plain,
    ( ~ spl0_52
    | ~ spl0_88
    | spl0_89
    | spl0_155 ),
    inference(sat_conversion,[],[f1749]) ).

cnf(s330,plain,
    ( ~ spl0_54
    | spl0_91
    | spl0_92
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s332,plain,
    ( ~ spl0_56
    | ~ spl0_75
    | ~ spl0_77
    | spl0_154 ),
    inference(sat_conversion,[],[f1788]) ).

cnf(s333,plain,
    ( ~ spl0_56
    | ~ spl0_84
    | spl0_85
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1789]) ).

cnf(s336,plain,
    ( ~ spl0_58
    | ~ spl0_87
    | ~ spl0_88
    | spl0_89 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s337,plain,
    ( ~ spl0_58
    | ~ spl0_102
    | spl0_103
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1813]) ).

cnf(s343,plain,
    ( ~ spl0_59
    | ~ spl0_87
    | ~ spl0_88
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1837]) ).

cnf(s344,plain,
    ( ~ spl0_59
    | ~ spl0_102
    | ~ spl0_104
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1838]) ).

cnf(s358,plain,
    ( ~ spl0_35
    | ~ spl0_87
    | spl0_89
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1885]) ).

cnf(s359,plain,
    ( ~ spl0_35
    | ~ spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f1886]) ).

cnf(s360,plain,
    ( ~ spl0_35
    | spl0_48
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1887]) ).

cnf(s361,plain,
    ( ~ spl0_52
    | spl0_114
    | ~ spl0_115
    | spl0_116 ),
    inference(sat_conversion,[],[f1888]) ).

cnf(s362,plain,
    ( ~ spl0_49
    | ~ spl0_67
    | spl0_68
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1889]) ).

cnf(s363,plain,
    ( ~ spl0_27
    | spl0_66
    | ~ spl0_67
    | spl0_160 ),
    inference(sat_conversion,[],[f1892]) ).

cnf(s382,plain,
    ( ~ spl0_60
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f1984]) ).

cnf(s387,plain,
    ( ~ spl0_54
    | spl0_56
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f1989]) ).

cnf(s389,plain,
    ( ~ spl0_40
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1991]) ).

cnf(s398,plain,
    ( ~ spl0_49
    | ~ spl0_108
    | ~ spl0_109
    | spl0_110 ),
    inference(sat_conversion,[],[f2011]) ).

cnf(s401,plain,
    ( ~ spl0_29
    | ~ spl0_90
    | spl0_92
    | spl0_173 ),
    inference(sat_conversion,[],[f2014]) ).

cnf(s405,plain,
    ( ~ spl0_32
    | ~ spl0_90
    | spl0_91
    | spl0_92 ),
    inference(sat_conversion,[],[f2018]) ).

cnf(s411,plain,
    ( ~ spl0_48
    | ~ spl0_88
    | spl0_89
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2024]) ).

cnf(s424,plain,
    ( ~ spl0_54
    | spl0_105
    | ~ spl0_106
    | spl0_107 ),
    inference(sat_conversion,[],[f2037]) ).

cnf(s436,plain,
    ( ~ spl0_22
    | spl0_66
    | spl0_68
    | spl0_160 ),
    inference(sat_conversion,[],[f2049]) ).

cnf(s438,plain,
    ( ~ spl0_25
    | ~ spl0_144
    | spl0_146
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2051]) ).

cnf(s440,plain,
    ( ~ spl0_25
    | ~ spl0_93
    | ~ spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f2053]) ).

cnf(s443,plain,
    ( ~ spl0_30
    | spl0_117
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f2056]) ).

cnf(s446,plain,
    ( ~ spl0_56
    | ~ spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f2059]) ).

cnf(s447,plain,
    ( ~ spl0_56
    | ~ spl0_144
    | ~ spl0_145
    | spl0_159 ),
    inference(sat_conversion,[],[f2060]) ).

cnf(s450,plain,
    ( ~ spl0_27
    | spl0_103
    | ~ spl0_104
    | spl0_163 ),
    inference(sat_conversion,[],[f2063]) ).

cnf(s452,plain,
    ( ~ spl0_44
    | spl0_91
    | spl0_92
    | spl0_173 ),
    inference(sat_conversion,[],[f2065]) ).

cnf(s457,plain,
    ( ~ spl0_39
    | ~ spl0_111
    | spl0_112
    | spl0_113 ),
    inference(sat_conversion,[],[f2117]) ).

cnf(s465,plain,
    ( ~ spl0_61
    | spl0_138
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f2189]) ).

cnf(s466,plain,
    ( spl0_4
    | spl0_3
    | ~ spl0_19 ),
    inference(rat,[],[s387,s50,s56,s446,s177,s178,s179,s52,s443,s133,s134,s135,s23,s289,s173,s174,s175,s53,s411,s358,s343,s308,s336,s93,s94,s95,s21,s268,s73,s74,s75,s2,s31]) ).

cnf(s467,plain,
    ( spl0_30
    | spl0_58
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s387,s50,s56,s324,s446,s450,s177,s178,s179,s17,s52,s359,s113,s114,s115]) ).

cnf(s468,plain,
    ( spl0_6
    | ~ spl0_30 ),
    inference(rat,[],[s443,s133,s134,s135]) ).

cnf(s469,plain,
    ( ~ spl0_36
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s289,s173,s174,s175,s53,s344,s311,s359,s113,s114,s115]) ).

cnf(s470,plain,
    ( spl0_3
    | ~ spl0_19 ),
    inference(rat,[],[s337,s450,s467,s17,s468,s23,s469,s113,s114,s115,s466]) ).

cnf(s471,plain,
    ( spl0_30
    | ~ spl0_4
    | ~ spl0_19 ),
    inference(rat,[],[s337,s450,s467,s17,s115,s114,s113]) ).

cnf(s472,plain,
    ( spl0_56
    | spl0_48
    | spl0_35
    | ~ spl0_19 ),
    inference(rat,[],[s387,s50,s56]) ).

cnf(s473,plain,
    ( spl0_47
    | ~ spl0_56 ),
    inference(rat,[],[s446,s177,s178,s179]) ).

cnf(s474,plain,
    ( ~ spl0_163
    | spl0_58
    | ~ spl0_4
    | ~ spl0_19
    | spl0_1 ),
    inference(rat,[],[s424,s117,s118,s119,s12,s54,s438,s447,s169,s170,s171,s51,s473,s472,s344,s324,s359,s113,s114,s115]) ).

cnf(s475,plain,
    ( spl0_8
    | ~ spl0_54 ),
    inference(rat,[],[s424,s117,s118,s119]) ).

cnf(s479,plain,
    ( spl0_12
    | ~ spl0_28 ),
    inference(rat,[],[s250,s109,s110,s111]) ).

cnf(s480,plain,
    ( spl0_56
    | spl0_49
    | ~ spl0_12
    | spl0_35
    | ~ spl0_19 ),
    inference(rat,[],[s60,s465,s161,s162,s163,s16,s401,s330,s50,s99,s98,s97,s470]) ).

cnf(s481,plain,
    ( ~ spl0_12
    | spl0_66
    | ~ spl0_67
    | spl0_68
    | spl0_35
    | ~ spl0_19 ),
    inference(rat,[],[s333,s480,s362,s436,s305,s19,s29,s91,s90,s89,s18,s405,s97,s98,s99,s470]) ).

cnf(s482,plain,
    ( ~ spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s474,s337,s450,s14,s479,s481,s65,s66,s67,s8,s185,s221,s138,s139,s41,s468,s471,s359,s113,s114,s115,s132,s361,s129,s130,s131]) ).

cnf(s483,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s475,s12,s54,s438,s447,s169,s170,s171,s51,s473,s472,s358,s343,s411,s308,s336,s93,s94,s95,s21,s268,s73,s74,s75,s2,s31,s482,s132]) ).

cnf(s484,plain,
    ( spl0_56
    | ~ spl0_102
    | spl0_103
    | spl0_35
    | ~ spl0_104
    | spl0_1 ),
    inference(rat,[],[s440,s101,s102,s103,s24,s311,s12,s324,s475,s472,s50,s100,s1,s483]) ).

cnf(s485,plain,
    ( ~ spl0_102
    | spl0_103
    | spl0_35
    | ~ spl0_104
    | spl0_1 ),
    inference(rat,[],[s54,s475,s344,s12,s450,s438,s14,s447,s468,s169,s170,s171,s52,s51,s336,s93,s94,s95,s479,s21,s29,s269,s305,s473,s333,s484,s91,s90,s89,s18,s405,s97,s98,s99,s100,s1,s483]) ).

cnf(s486,plain,
    ( spl0_4
    | spl0_35
    | spl0_1 ),
    inference(rat,[],[s398,s121,s122,s123,s35,s473,s472,s411,s308,s93,s94,s95,s21,s38,s268,s73,s74,s75,s2,s31,s100,s1,s483]) ).

cnf(s487,plain,
    ( spl0_35
    | ~ spl0_104
    | spl0_1 ),
    inference(rat,[],[s485,s113,s114,s486]) ).

cnf(s488,plain,
    ( spl0_4
    | ~ spl0_35
    | spl0_1 ),
    inference(rat,[],[s308,s411,s93,s94,s95,s360,s21,s38,s268,s73,s74,s75,s2,s31,s100,s1,s483]) ).

cnf(s489,plain,
    ( ~ spl0_104
    | spl0_1 ),
    inference(rat,[],[s359,s113,s114,s488,s487]) ).

cnf(s490,plain,
    ( spl0_4
    | spl0_1 ),
    inference(rat,[],[s488,s486]) ).

cnf(s491,plain,
    spl0_1,
    inference(rat,[],[s490,s115,s489]) ).

cnf(s492,plain,
    spl0_19,
    inference(rat,[],[s80,s491]) ).

cnf(s493,plain,
    spl0_77,
    inference(rat,[],[s79,s491]) ).

cnf(s494,plain,
    spl0_76,
    inference(rat,[],[s78,s491]) ).

cnf(s495,plain,
    spl0_75,
    inference(rat,[],[s77,s491]) ).

cnf(s496,plain,
    spl0_3,
    inference(rat,[],[s470,s492]) ).

cnf(s497,plain,
    ~ spl0_60,
    inference(rat,[],[s382,s493,s494,s495]) ).

cnf(s498,plain,
    ~ spl0_92,
    inference(rat,[],[s99,s496]) ).

cnf(s499,plain,
    ~ spl0_91,
    inference(rat,[],[s98,s496]) ).

cnf(s500,plain,
    spl0_90,
    inference(rat,[],[s97,s496]) ).

cnf(s506,plain,
    ( ~ spl0_4
    | spl0_52
    | spl0_103
    | ~ spl0_104
    | spl0_35 ),
    inference(rat,[],[s465,s161,s162,s163,s26,s457,s57,s125,s126,s127,s473,s37,s472,s362,s324,s401,s452,s363,s450,s330,s14,s55,s479,s481,s65,s66,s67,s8,s185,s221,s138,s139,s41,s468,s471,s469,s492,s498,s500,s499,s497]) ).

cnf(s507,plain,
    ( spl0_4
    | spl0_35 ),
    inference(rat,[],[s27,s468,s389,s52,s332,s473,s472,s411,s308,s336,s93,s94,s95,s21,s268,s73,s74,s75,s2,s31,s492,s494,s495,s493]) ).

cnf(s508,plain,
    ( spl0_2
    | ~ spl0_52 ),
    inference(rat,[],[s361,s129,s130,s131]) ).

cnf(s509,plain,
    ( ~ spl0_52
    | spl0_35 ),
    inference(rat,[],[s398,s121,s122,s123,s35,s473,s472,s411,s329,s94,s95,s21,s38,s268,s73,s74,s75,s3,s508,s468,s471,s507,s492]) ).

cnf(s510,plain,
    spl0_35,
    inference(rat,[],[s506,s115,s509,s114,s507]) ).

cnf(s511,plain,
    spl0_4,
    inference(rat,[],[s308,s358,s93,s95,s21,s268,s73,s74,s75,s2,s31,s510,s492]) ).

cnf(s512,plain,
    ~ spl0_103,
    inference(rat,[],[s114,s511]) ).

cnf(s513,plain,
    spl0_102,
    inference(rat,[],[s113,s511]) ).

cnf(s516,plain,
    ~ spl0_104,
    inference(rat,[],[s359,s513,s510,s512]) ).

cnf(s517,plain,
    $false,
    inference(rat,[],[s115,s516,s511]) ).

fof(f2190,plain,
    $false,
    inference(avatar_sat_refutation,[],[s517]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYN445+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Mon Sep 28 16:03:38 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.13  Running first-order model finding
% 0.08/0.13  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.19  % (3484573)Will run a generic schedule for satisfiability detection.
% 0.08/0.19  % (3484579)% WARNING: option uhcvi not known.
% 0.08/0.19  % (3484580)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1869355182:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.19  % (3484578)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1050631843_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.19  % (3484579)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=254587463:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.19  % (3484583)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3888333183:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.19  % (3484581)dis+10_1_sil=32000:sp=arity:random_seed=2287054147:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.19  % (3484582)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=89920908:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.19  % (3484584)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2784295317:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.19  % Detected minimum model sizes of [1]
% 0.08/0.19  % Detected maximum model sizes of [30]
% 0.08/0.19  % TRYING [1]
% 0.08/0.19  % TRYING [2]
% 0.08/0.19  % TRYING [3]
% 0.08/0.19  % (3484584) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3484573-3484584"...
% 0.08/0.19  % TRYING [4]
% 0.08/0.19  % (3484584)...printing done.
% 0.08/0.19  % (3484581) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3484573-3484581"...
% 0.08/0.19  % (3484584)Refutation found. Thanks to Tanya!
% 0.08/0.19  % SZS status Theorem for theBenchmark
% 0.08/0.19  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.19  % (3484584)------------------------------
% 0.08/0.19  % (3484584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19  % (3484584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19  % (3484584)CaDiCaL version: 2.1.3
% 0.08/0.19  % (3484584)Termination reason: Refutation
% 0.08/0.19  % (3484584)Time elapsed: 0.015 s
% 0.08/0.19  % (3484584)Peak memory usage: 13 MB
% 0.08/0.19  % (3484584)Instructions burned: 47 (million)
% 0.08/0.19  % (3484573)Success in time 0.053 s
% 0.08/0.19  % Vampire exiting
%------------------------------------------------------------------------------