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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN445+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:51:43 PM UTC 2026

% Result   : Theorem 1.30s 1.13s
% Output   : Refutation 3.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :  104
% Syntax   : Number of formulae    :  588 (  15 unt; 103 def)
%            Number of atoms       : 4904 (   0 equ)
%            Maximal formula atoms :  606 (   8 avg)
%            Number of connectives : 6532 (2216   ~;3036   |; 895   &)
%                                         ( 103 <=>; 282  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   97 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  139 ( 138 usr; 135 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  596 (   0 sgn 596   !;   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/sandbox2/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(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(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(f25,plain,
    ! [X76,X77,X75] :
      ( c2_1(X75)
      | c3_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | c2_1(X76)
      | ~ c1_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0 ),
    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(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(f41,plain,
    ! [X52,X53] :
      ( c0_1(X52)
      | ~ c2_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | c2_1(X53)
      | c3_1(X53)
      | ~ c1_1(X53)
      | ~ ndr1_0
      | hskp3 ),
    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(f54,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | c3_1(X29)
      | ~ c1_1(X29)
      | ~ ndr1_0
      | c0_1(X30)
      | ~ c1_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0 ),
    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(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(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(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(f142,plain,
    ( ~ hskp10
    | ~ c0_1(a308) ),
    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(f170,plain,
    ( ~ hskp3
    | ~ c2_1(a299) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp3
    | c3_1(a299) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp3
    | c0_1(a299) ),
    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,
    ! [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,[],[f19]) ).

fof(f188,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,[],[f22]) ).

fof(f190,plain,
    ! [X76,X77,X75] :
      ( c2_1(X75)
      | c3_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | c2_1(X76)
      | ~ c1_1(X76)
      | ~ c3_1(X76)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ c3_1(X77) ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f193,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,[],[f34]) ).

fof(f197,plain,
    ! [X52,X53] :
      ( c0_1(X52)
      | ~ c2_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | c2_1(X53)
      | c3_1(X53)
      | ~ c1_1(X53)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f199,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,[],[f43]) ).

fof(f207,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c0_1(X29)
      | c3_1(X29)
      | ~ c1_1(X29)
      | c0_1(X30)
      | ~ c1_1(X30)
      | ~ c3_1(X30) ),
    inference(duplicate_literal_removal,[],[f54]) ).

fof(f208,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,[],[f55]) ).

fof(f209,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,[],[f57]) ).

fof(f210,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,[],[f58]) ).

fof(f211,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,[],[f59]) ).

fof(f213,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,[],[f61]) ).

fof(f214,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,[],[f62]) ).

fof(f217,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,[],[f65]) ).

fof(f219,definition,
    ( spl0_1
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f222,definition,
    ( spl0_2
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f225,definition,
    ( spl0_3
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f227,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f225,f222,f219]) ).

fof(f229,definition,
    ( spl0_4
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f232,definition,
    ( spl0_5
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f234,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f232,f229]) ).

fof(f236,definition,
    ( spl0_6
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f238,plain,
    ( spl0_2
    | spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f8,f232,f236,f222]) ).

fof(f243,definition,
    ( spl0_8
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f256,definition,
    ( spl0_12
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f260,definition,
    ( spl0_13
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f263,definition,
    ( spl0_14
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f280,definition,
    ( spl0_19
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f287,definition,
    ( spl0_21
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f290,definition,
    ( spl0_22
  <=> ! [X92] :
        ( ~ c0_1(X92)
        | ~ c3_1(X92)
        | ~ c1_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f291,plain,
    ( ! [X92] :
        ( ~ c3_1(X92)
        | ~ c0_1(X92)
        | ~ c1_1(X92) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f302,definition,
    ( spl0_25
  <=> ! [X89] :
        ( c3_1(X89)
        | ~ c2_1(X89)
        | ~ c1_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f303,plain,
    ( ! [X89] :
        ( c3_1(X89)
        | ~ c2_1(X89)
        | ~ c1_1(X89) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f304,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_19
    | spl0_25 ),
    inference(avatar_split_clause,[],[f17,f302,f280,f243,f219]) ).

fof(f310,definition,
    ( spl0_27
  <=> ! [X86] :
        ( ~ c0_1(X86)
        | ~ c3_1(X86)
        | ~ c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f311,plain,
    ( ! [X86] :
        ( ~ c3_1(X86)
        | ~ c0_1(X86)
        | ~ c2_1(X86) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f313,definition,
    ( spl0_28
  <=> ! [X85] :
        ( c3_1(X85)
        | ~ c2_1(X85)
        | ~ c0_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f314,plain,
    ( ! [X85] :
        ( c3_1(X85)
        | ~ c2_1(X85)
        | ~ c0_1(X85) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f315,plain,
    ( spl0_6
    | spl0_27
    | ~ spl0_19
    | spl0_28 ),
    inference(avatar_split_clause,[],[f187,f313,f280,f310,f236]) ).

fof(f322,definition,
    ( spl0_30
  <=> ! [X81] :
        ( c2_1(X81)
        | ~ c3_1(X81)
        | ~ c1_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f323,plain,
    ( ! [X81] :
        ( ~ c3_1(X81)
        | c2_1(X81)
        | ~ c1_1(X81) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f324,plain,
    ( spl0_27
    | ~ spl0_19
    | spl0_30 ),
    inference(avatar_split_clause,[],[f188,f322,f280,f310]) ).

fof(f326,definition,
    ( spl0_31
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f329,definition,
    ( spl0_32
  <=> ! [X80] :
        ( c2_1(X80)
        | ~ c1_1(X80)
        | c3_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f330,plain,
    ( ! [X80] :
        ( c3_1(X80)
        | ~ c1_1(X80)
        | c2_1(X80) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f331,plain,
    ( spl0_31
    | ~ spl0_19
    | spl0_32 ),
    inference(avatar_split_clause,[],[f23,f329,f280,f326]) ).

fof(f333,plain,
    ( spl0_22
    | spl0_30
    | ~ spl0_19
    | spl0_32 ),
    inference(avatar_split_clause,[],[f190,f329,f280,f322,f290]) ).

fof(f335,definition,
    ( spl0_33
  <=> ! [X74] :
        ( c2_1(X74)
        | ~ c0_1(X74)
        | c3_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f336,plain,
    ( ! [X74] :
        ( c3_1(X74)
        | ~ c0_1(X74)
        | c2_1(X74) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f337,plain,
    ( spl0_21
    | ~ spl0_19
    | spl0_33 ),
    inference(avatar_split_clause,[],[f26,f335,f280,f287]) ).

fof(f339,definition,
    ( spl0_34
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f342,definition,
    ( spl0_35
  <=> ! [X73] :
        ( c1_1(X73)
        | ~ c3_1(X73)
        | ~ c2_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X73] :
        ( ~ c3_1(X73)
        | c1_1(X73)
        | ~ c2_1(X73) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f346,definition,
    ( spl0_36
  <=> ! [X72] :
        ( c1_1(X72)
        | ~ c2_1(X72)
        | ~ c0_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f347,plain,
    ( ! [X72] :
        ( ~ c0_1(X72)
        | ~ c2_1(X72)
        | c1_1(X72) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f348,plain,
    ( spl0_3
    | spl0_6
    | ~ spl0_19
    | spl0_36 ),
    inference(avatar_split_clause,[],[f28,f346,f280,f236,f225]) ).

fof(f350,definition,
    ( spl0_37
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f352,plain,
    ( spl0_2
    | spl0_37
    | ~ spl0_19
    | spl0_36 ),
    inference(avatar_split_clause,[],[f29,f346,f280,f350,f222]) ).

fof(f362,definition,
    ( spl0_40
  <=> ! [X67] :
        ( c1_1(X67)
        | ~ c2_1(X67)
        | c3_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f363,plain,
    ( ! [X67] :
        ( c3_1(X67)
        | ~ c2_1(X67)
        | c1_1(X67) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f364,plain,
    ( spl0_4
    | spl0_6
    | ~ spl0_19
    | spl0_40 ),
    inference(avatar_split_clause,[],[f32,f362,f280,f236,f229]) ).

fof(f367,definition,
    ( spl0_41
  <=> ! [X63] :
        ( c1_1(X63)
        | ~ c0_1(X63)
        | c3_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X63] :
        ( c3_1(X63)
        | ~ c0_1(X63)
        | c1_1(X63) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( spl0_12
    | spl0_32
    | ~ spl0_19
    | spl0_41 ),
    inference(avatar_split_clause,[],[f193,f367,f280,f329,f256]) ).

fof(f375,definition,
    ( spl0_43
  <=> ! [X60] :
        ( c1_1(X60)
        | ~ c3_1(X60)
        | c2_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X60] :
        ( ~ c3_1(X60)
        | c1_1(X60)
        | c2_1(X60) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f377,plain,
    ( spl0_4
    | ~ spl0_19
    | spl0_43 ),
    inference(avatar_split_clause,[],[f36,f375,f280,f229]) ).

fof(f380,definition,
    ( spl0_44
  <=> ! [X58] :
        ( c2_1(X58)
        | ~ c1_1(X58)
        | ~ c0_1(X58) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X58] :
        ( ~ c0_1(X58)
        | ~ c1_1(X58)
        | c2_1(X58) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f384,definition,
    ( spl0_45
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f391,definition,
    ( spl0_47
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f394,definition,
    ( spl0_48
  <=> ! [X54] :
        ( c0_1(X54)
        | ~ c3_1(X54)
        | ~ c2_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f395,plain,
    ( ! [X54] :
        ( ~ c3_1(X54)
        | c0_1(X54)
        | ~ c2_1(X54) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f396,plain,
    ( spl0_47
    | spl0_45
    | ~ spl0_19
    | spl0_48 ),
    inference(avatar_split_clause,[],[f40,f394,f280,f384,f391]) ).

fof(f397,plain,
    ( spl0_34
    | spl0_32
    | ~ spl0_19
    | spl0_48 ),
    inference(avatar_split_clause,[],[f197,f394,f280,f329,f339]) ).

fof(f399,definition,
    ( spl0_49
  <=> ! [X50] :
        ( c0_1(X50)
        | ~ c2_1(X50)
        | ~ c1_1(X50) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f400,plain,
    ( ! [X50] :
        ( c0_1(X50)
        | ~ c2_1(X50)
        | ~ c1_1(X50) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f399]) ).

fof(f402,plain,
    ( spl0_2
    | spl0_33
    | ~ spl0_19
    | spl0_49 ),
    inference(avatar_split_clause,[],[f199,f399,f280,f335,f222]) ).

fof(f408,definition,
    ( spl0_51
  <=> ! [X44] :
        ( c0_1(X44)
        | ~ c1_1(X44)
        | c3_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | ~ c1_1(X44)
        | c0_1(X44) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f412,definition,
    ( spl0_52
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c3_1(X43)
        | c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f413,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43)
        | c2_1(X43) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f414,plain,
    ( spl0_6
    | spl0_13
    | ~ spl0_19
    | spl0_52 ),
    inference(avatar_split_clause,[],[f46,f412,f280,f260,f236]) ).

fof(f420,definition,
    ( spl0_54
  <=> ! [X40] :
        ( c0_1(X40)
        | ~ c1_1(X40)
        | c2_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f421,plain,
    ( ! [X40] :
        ( c0_1(X40)
        | ~ c1_1(X40)
        | c2_1(X40) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f429,definition,
    ( spl0_55
  <=> ! [X30] :
        ( c0_1(X30)
        | ~ c3_1(X30)
        | ~ c1_1(X30) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f430,plain,
    ( ! [X30] :
        ( ~ c3_1(X30)
        | c0_1(X30)
        | ~ c1_1(X30) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f431,plain,
    ( spl0_55
    | spl0_51
    | ~ spl0_19
    | spl0_54 ),
    inference(avatar_split_clause,[],[f207,f420,f280,f408,f429]) ).

fof(f433,definition,
    ( spl0_56
  <=> ! [X25] :
        ( c0_1(X25)
        | c3_1(X25)
        | c2_1(X25) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f434,plain,
    ( ! [X25] :
        ( c3_1(X25)
        | c0_1(X25)
        | c2_1(X25) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f435,plain,
    ( spl0_35
    | spl0_54
    | ~ spl0_19
    | spl0_56 ),
    inference(avatar_split_clause,[],[f208,f433,f280,f420,f342]) ).

fof(f437,definition,
    ( spl0_57
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f440,definition,
    ( spl0_58
  <=> ! [X24] :
        ( c0_1(X24)
        | ~ c3_1(X24)
        | c1_1(X24) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X24] :
        ( ~ c3_1(X24)
        | c0_1(X24)
        | c1_1(X24) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f442,plain,
    ( spl0_47
    | spl0_57
    | ~ spl0_19
    | spl0_58 ),
    inference(avatar_split_clause,[],[f56,f440,f280,f437,f391]) ).

fof(f443,plain,
    ( spl0_47
    | spl0_30
    | ~ spl0_19
    | spl0_58 ),
    inference(avatar_split_clause,[],[f209,f440,f280,f322,f391]) ).

fof(f445,definition,
    ( spl0_59
  <=> ! [X20] :
        ( c0_1(X20)
        | ~ c2_1(X20)
        | c1_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f446,plain,
    ( ! [X20] :
        ( c0_1(X20)
        | ~ c2_1(X20)
        | c1_1(X20) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f447,plain,
    ( spl0_14
    | spl0_35
    | ~ spl0_19
    | spl0_59 ),
    inference(avatar_split_clause,[],[f210,f445,f280,f342,f263]) ).

fof(f448,plain,
    ( spl0_25
    | spl0_54
    | ~ spl0_19
    | spl0_59 ),
    inference(avatar_split_clause,[],[f211,f445,f280,f420,f302]) ).

fof(f450,definition,
    ( spl0_60
  <=> ! [X14] :
        ( c0_1(X14)
        | c3_1(X14)
        | c1_1(X14) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f451,plain,
    ( ! [X14] :
        ( c3_1(X14)
        | c0_1(X14)
        | c1_1(X14) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f453,plain,
    ( spl0_48
    | spl0_56
    | ~ spl0_19
    | spl0_60 ),
    inference(avatar_split_clause,[],[f213,f450,f280,f433,f394]) ).

fof(f455,definition,
    ( spl0_61
  <=> ! [X9] :
        ( c0_1(X9)
        | c2_1(X9)
        | c1_1(X9) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X9] :
        ( c0_1(X9)
        | c2_1(X9)
        | c1_1(X9) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f457,plain,
    ( spl0_47
    | spl0_44
    | ~ spl0_19
    | spl0_61 ),
    inference(avatar_split_clause,[],[f214,f455,f280,f380,f391]) ).

fof(f463,plain,
    ( spl0_49
    | spl0_56
    | ~ spl0_19
    | spl0_61 ),
    inference(avatar_split_clause,[],[f217,f455,f280,f433,f399]) ).

fof(f508,definition,
    ( spl0_72
  <=> c3_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f509,plain,
    ( ~ c3_1(a349)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f511,plain,
    ( ~ spl0_72
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f78,f232,f508]) ).

fof(f513,definition,
    ( spl0_73
  <=> c2_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f515,plain,
    ( ~ spl0_73
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f79,f232,f513]) ).

fof(f517,definition,
    ( spl0_74
  <=> c0_1(a349) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f519,plain,
    ( spl0_74
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f80,f232,f517]) ).

fof(f522,definition,
    ( spl0_75
  <=> c3_1(a346) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f523,plain,
    ( ~ c3_1(a346)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f525,plain,
    ( ~ spl0_75
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f82,f219,f522]) ).

fof(f527,definition,
    ( spl0_76
  <=> c1_1(a346) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f529,plain,
    ( ~ spl0_76
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f83,f219,f527]) ).

fof(f531,definition,
    ( spl0_77
  <=> c0_1(a346) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f532,plain,
    ( ~ c0_1(a346)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f533,plain,
    ( ~ spl0_77
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f84,f219,f531]) ).

fof(f534,plain,
    ( spl0_19
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f85,f219,f280]) ).

fof(f564,definition,
    ( spl0_84
  <=> c3_1(a338) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f565,plain,
    ( ~ c3_1(a338)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f567,plain,
    ( ~ spl0_84
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f94,f326,f564]) ).

fof(f569,definition,
    ( spl0_85
  <=> c2_1(a338) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f571,plain,
    ( ~ spl0_85
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f95,f326,f569]) ).

fof(f573,definition,
    ( spl0_86
  <=> c1_1(a338) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f575,plain,
    ( ~ spl0_86
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f96,f326,f573]) ).

fof(f578,definition,
    ( spl0_87
  <=> c1_1(a336) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f581,plain,
    ( ~ spl0_87
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f98,f287,f578]) ).

fof(f583,definition,
    ( spl0_88
  <=> c0_1(a336) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f584,plain,
    ( ~ c0_1(a336)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f585,plain,
    ( ~ spl0_88
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f99,f287,f583]) ).

fof(f587,definition,
    ( spl0_89
  <=> c3_1(a336) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f588,plain,
    ( c3_1(a336)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( spl0_89
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f100,f287,f587]) ).

fof(f592,definition,
    ( spl0_90
  <=> c3_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f593,plain,
    ( ~ c3_1(a333)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f595,plain,
    ( ~ spl0_90
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f102,f225,f592]) ).

fof(f597,definition,
    ( spl0_91
  <=> c2_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ spl0_91
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f103,f225,f597]) ).

fof(f601,definition,
    ( spl0_92
  <=> c1_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f603,plain,
    ( spl0_92
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f104,f225,f601]) ).

fof(f604,plain,
    ( spl0_19
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f105,f225,f280]) ).

fof(f606,definition,
    ( spl0_93
  <=> c3_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f607,plain,
    ( ~ c3_1(a330)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f609,plain,
    ( ~ spl0_93
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f106,f350,f606]) ).

fof(f611,definition,
    ( spl0_94
  <=> c2_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f613,plain,
    ( spl0_94
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f107,f350,f611]) ).

fof(f615,definition,
    ( spl0_95
  <=> c1_1(a330) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f617,plain,
    ( spl0_95
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f108,f350,f615]) ).

fof(f634,definition,
    ( spl0_99
  <=> c3_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f635,plain,
    ( ~ c3_1(a323)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f637,plain,
    ( ~ spl0_99
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f114,f256,f634]) ).

fof(f639,definition,
    ( spl0_100
  <=> c2_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f641,plain,
    ( spl0_100
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f115,f256,f639]) ).

fof(f643,definition,
    ( spl0_101
  <=> c0_1(a323) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f645,plain,
    ( spl0_101
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f116,f256,f643]) ).

fof(f648,definition,
    ( spl0_102
  <=> c1_1(a321) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f651,plain,
    ( ~ spl0_102
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f118,f229,f648]) ).

fof(f653,definition,
    ( spl0_103
  <=> c3_1(a321) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f654,plain,
    ( c3_1(a321)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f655,plain,
    ( spl0_103
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f119,f229,f653]) ).

fof(f657,definition,
    ( spl0_104
  <=> c2_1(a321) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f659,plain,
    ( spl0_104
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f120,f229,f657]) ).

fof(f662,definition,
    ( spl0_105
  <=> c2_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f665,plain,
    ( ~ spl0_105
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f122,f243,f662]) ).

fof(f667,definition,
    ( spl0_106
  <=> c0_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f668,plain,
    ( ~ c0_1(a320)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f669,plain,
    ( ~ spl0_106
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f123,f243,f667]) ).

fof(f671,definition,
    ( spl0_107
  <=> c1_1(a320) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f673,plain,
    ( spl0_107
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f124,f243,f671]) ).

fof(f676,definition,
    ( spl0_108
  <=> c0_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ c0_1(a315)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f679,plain,
    ( ~ spl0_108
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f126,f384,f676]) ).

fof(f681,definition,
    ( spl0_109
  <=> c2_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f683,plain,
    ( spl0_109
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f127,f384,f681]) ).

fof(f685,definition,
    ( spl0_110
  <=> c1_1(a315) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f687,plain,
    ( spl0_110
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f128,f384,f685]) ).

fof(f704,definition,
    ( spl0_114
  <=> c2_1(a310) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f707,plain,
    ( ~ spl0_114
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f134,f222,f704]) ).

fof(f709,definition,
    ( spl0_115
  <=> c0_1(a310) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f710,plain,
    ( ~ c0_1(a310)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f711,plain,
    ( ~ spl0_115
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f135,f222,f709]) ).

fof(f713,definition,
    ( spl0_116
  <=> c3_1(a310) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f714,plain,
    ( c3_1(a310)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f715,plain,
    ( spl0_116
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f136,f222,f713]) ).

fof(f716,plain,
    ( spl0_19
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f137,f222,f280]) ).

fof(f718,definition,
    ( spl0_117
  <=> c2_1(a309) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f721,plain,
    ( ~ spl0_117
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f138,f236,f718]) ).

fof(f723,definition,
    ( spl0_118
  <=> c3_1(a309) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f724,plain,
    ( c3_1(a309)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f723]) ).

fof(f725,plain,
    ( spl0_118
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f139,f236,f723]) ).

fof(f727,definition,
    ( spl0_119
  <=> c1_1(a309) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f729,plain,
    ( spl0_119
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f140,f236,f727]) ).

fof(f732,definition,
    ( spl0_120
  <=> c0_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ c0_1(a308)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f735,plain,
    ( ~ spl0_120
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f142,f260,f732]) ).

fof(f737,definition,
    ( spl0_121
  <=> c3_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f738,plain,
    ( c3_1(a308)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f739,plain,
    ( spl0_121
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f143,f260,f737]) ).

fof(f741,definition,
    ( spl0_122
  <=> c1_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f743,plain,
    ( spl0_122
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f144,f260,f741]) ).

fof(f830,definition,
    ( spl0_141
  <=> c2_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f833,plain,
    ( ~ spl0_141
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f170,f339,f830]) ).

fof(f835,definition,
    ( spl0_142
  <=> c3_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f836,plain,
    ( c3_1(a299)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f837,plain,
    ( spl0_142
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f171,f339,f835]) ).

fof(f839,definition,
    ( spl0_143
  <=> c0_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f841,plain,
    ( spl0_143
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f172,f339,f839]) ).

fof(f844,definition,
    ( spl0_144
  <=> c3_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f845,plain,
    ( ~ c3_1(a297)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f847,plain,
    ( ~ spl0_144
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f174,f437,f844]) ).

fof(f849,definition,
    ( spl0_145
  <=> c0_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f851,plain,
    ( ~ spl0_145
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f175,f437,f849]) ).

fof(f853,definition,
    ( spl0_146
  <=> c1_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f855,plain,
    ( spl0_146
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f176,f437,f853]) ).

fof(f858,definition,
    ( spl0_147
  <=> c1_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ spl0_147
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f178,f263,f858]) ).

fof(f863,definition,
    ( spl0_148
  <=> c2_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f865,plain,
    ( spl0_148
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f179,f263,f863]) ).

fof(f867,definition,
    ( spl0_149
  <=> c0_1(a295) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f868,plain,
    ( c0_1(a295)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f869,plain,
    ( spl0_149
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f180,f263,f867]) ).

fof(f872,definition,
    ( spl0_150
  <=> c3_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f873,plain,
    ( ~ c3_1(a294)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f875,plain,
    ( ~ spl0_150
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f182,f391,f872]) ).

fof(f877,definition,
    ( spl0_151
  <=> c2_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ spl0_151
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f183,f391,f877]) ).

fof(f881,definition,
    ( spl0_152
  <=> c0_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f882,plain,
    ( ~ c0_1(a294)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f883,plain,
    ( ~ spl0_152
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f184,f391,f881]) ).

fof(f889,definition,
    ( spl0_153
  <=> c2_1(a308) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f919,plain,
    ( c2_1(a308)
    | ~ c1_1(a308)
    | ~ spl0_30
    | ~ spl0_121 ),
    inference(resolution,[],[f323,f738]) ).

fof(f961,definition,
    ( spl0_157
  <=> c1_1(a294) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f968,definition,
    ( spl0_158
  <=> c0_1(a338) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f975,plain,
    ( ~ c0_1(a333)
    | c2_1(a333)
    | ~ spl0_33
    | spl0_90 ),
    inference(resolution,[],[f336,f593]) ).

fof(f977,plain,
    ( ~ c0_1(a349)
    | c2_1(a349)
    | ~ spl0_33
    | spl0_72 ),
    inference(resolution,[],[f336,f509]) ).

fof(f981,plain,
    ( spl0_73
    | ~ spl0_74
    | ~ spl0_33
    | spl0_72 ),
    inference(avatar_split_clause,[],[f977,f508,f335,f517,f513]) ).

fof(f985,definition,
    ( spl0_159
  <=> c0_1(a333) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f986,plain,
    ( ~ c0_1(a333)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f987,plain,
    ( spl0_91
    | ~ spl0_159
    | ~ spl0_33
    | spl0_90 ),
    inference(avatar_split_clause,[],[f975,f592,f335,f985,f597]) ).

fof(f995,plain,
    ( c1_1(a336)
    | ~ c2_1(a336)
    | ~ spl0_35
    | ~ spl0_89 ),
    inference(resolution,[],[f343,f588]) ).

fof(f1007,definition,
    ( spl0_160
  <=> c2_1(a336) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1010,plain,
    ( ~ spl0_160
    | spl0_87
    | ~ spl0_35
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f995,f587,f342,f578,f1007]) ).

fof(f1028,definition,
    ( spl0_161
  <=> c1_1(a310) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1090,plain,
    ( ~ c0_1(a338)
    | c1_1(a338)
    | ~ spl0_41
    | spl0_84 ),
    inference(resolution,[],[f368,f565]) ).

fof(f1096,plain,
    ( spl0_86
    | ~ spl0_158
    | ~ spl0_41
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1090,f564,f367,f968,f573]) ).

fof(f1102,plain,
    ( c1_1(a336)
    | c2_1(a336)
    | ~ spl0_43
    | ~ spl0_89 ),
    inference(resolution,[],[f376,f588]) ).

fof(f1112,plain,
    ( spl0_160
    | spl0_87
    | ~ spl0_43
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1102,f587,f375,f578,f1007]) ).

fof(f1158,plain,
    ( c0_1(a321)
    | ~ c2_1(a321)
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(resolution,[],[f395,f654]) ).

fof(f1159,plain,
    ( c0_1(a336)
    | ~ c2_1(a336)
    | ~ spl0_48
    | ~ spl0_89 ),
    inference(resolution,[],[f395,f588]) ).

fof(f1172,plain,
    ( ~ spl0_160
    | spl0_88
    | ~ spl0_48
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1159,f587,f394,f583,f1007]) ).

fof(f1175,definition,
    ( spl0_168
  <=> c0_1(a321) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1177,plain,
    ( ~ spl0_104
    | spl0_168
    | ~ spl0_48
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1158,f653,f394,f1175,f657]) ).

fof(f1180,plain,
    ( c1_1(a299)
    | c2_1(a299)
    | ~ spl0_43
    | ~ spl0_142 ),
    inference(resolution,[],[f836,f376]) ).

fof(f1181,plain,
    ( c2_1(a299)
    | ~ c1_1(a299)
    | ~ spl0_30
    | ~ spl0_142 ),
    inference(resolution,[],[f836,f323]) ).

fof(f1185,definition,
    ( spl0_169
  <=> c1_1(a299) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1190,plain,
    ( ~ spl0_169
    | spl0_141
    | ~ spl0_30
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1181,f835,f322,f830,f1185]) ).

fof(f1192,plain,
    ( spl0_141
    | spl0_169
    | ~ spl0_43
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1180,f835,f375,f1185,f830]) ).

fof(f1217,definition,
    ( spl0_170
  <=> c2_1(a346) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1229,plain,
    ( ~ c1_1(a294)
    | c2_1(a294)
    | ~ spl0_32
    | spl0_150 ),
    inference(resolution,[],[f330,f873]) ).

fof(f1241,plain,
    ( spl0_151
    | ~ spl0_157
    | ~ spl0_32
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1229,f872,f329,f961,f877]) ).

fof(f1288,plain,
    ( ~ c2_1(a346)
    | c1_1(a346)
    | ~ spl0_40
    | spl0_75 ),
    inference(resolution,[],[f363,f523]) ).

fof(f1293,plain,
    ( spl0_76
    | ~ spl0_170
    | ~ spl0_40
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1288,f522,f362,f1217,f527]) ).

fof(f1298,plain,
    ( ~ c2_1(a308)
    | ~ c1_1(a308)
    | ~ spl0_49
    | spl0_120 ),
    inference(resolution,[],[f400,f733]) ).

fof(f1374,plain,
    ( c0_1(a333)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f1457,plain,
    ( c0_1(a336)
    | c2_1(a336)
    | ~ spl0_52
    | ~ spl0_89 ),
    inference(resolution,[],[f413,f588]) ).

fof(f1466,plain,
    ( spl0_160
    | spl0_88
    | ~ spl0_52
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1457,f587,f412,f583,f1007]) ).

fof(f1510,plain,
    ( ~ c2_1(a336)
    | c1_1(a336)
    | ~ spl0_59
    | spl0_88 ),
    inference(resolution,[],[f446,f584]) ).

fof(f1513,plain,
    ( ~ c2_1(a346)
    | c1_1(a346)
    | ~ spl0_59
    | spl0_77 ),
    inference(resolution,[],[f446,f532]) ).

fof(f1518,plain,
    ( spl0_76
    | ~ spl0_170
    | ~ spl0_59
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1513,f531,f445,f1217,f527]) ).

fof(f1520,plain,
    ( spl0_87
    | ~ spl0_160
    | ~ spl0_59
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1510,f583,f445,f1007,f578]) ).

fof(f1525,plain,
    ( ~ c2_1(a295)
    | c1_1(a295)
    | ~ spl0_36
    | ~ spl0_149 ),
    inference(resolution,[],[f868,f347]) ).

fof(f1617,plain,
    ( spl0_147
    | ~ spl0_148
    | ~ spl0_36
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1525,f867,f346,f863,f858]) ).

fof(f1619,plain,
    ( ~ spl0_122
    | ~ spl0_153
    | ~ spl0_49
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1298,f732,f399,f889,f741]) ).

fof(f1720,plain,
    ( c1_1(a321)
    | ~ c2_1(a321)
    | ~ spl0_35
    | ~ spl0_103 ),
    inference(resolution,[],[f343,f654]) ).

fof(f1726,plain,
    ( ~ spl0_104
    | spl0_102
    | ~ spl0_35
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1720,f653,f342,f648,f657]) ).

fof(f1777,plain,
    ( c2_1(a309)
    | ~ c1_1(a309)
    | ~ spl0_30
    | ~ spl0_118 ),
    inference(resolution,[],[f323,f724]) ).

fof(f1778,plain,
    ( c2_1(a310)
    | ~ c1_1(a310)
    | ~ spl0_30
    | ~ spl0_116 ),
    inference(resolution,[],[f323,f714]) ).

fof(f1786,plain,
    ( ~ spl0_161
    | spl0_114
    | ~ spl0_30
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1778,f713,f322,f704,f1028]) ).

fof(f1787,plain,
    ( ~ spl0_119
    | spl0_117
    | ~ spl0_30
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1777,f723,f322,f718,f727]) ).

fof(f1804,plain,
    ( ~ c2_1(a315)
    | ~ c1_1(a315)
    | ~ spl0_49
    | spl0_108 ),
    inference(resolution,[],[f400,f677]) ).

fof(f1815,plain,
    ( ~ spl0_110
    | ~ spl0_109
    | ~ spl0_49
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1804,f676,f399,f681,f685]) ).

fof(f1825,plain,
    ( ~ c0_1(a321)
    | ~ c2_1(a321)
    | ~ spl0_27
    | ~ spl0_103 ),
    inference(resolution,[],[f311,f654]) ).

fof(f1830,plain,
    ( ~ spl0_104
    | ~ spl0_168
    | ~ spl0_27
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1825,f653,f310,f1175,f657]) ).

fof(f1835,plain,
    ( c0_1(a310)
    | c2_1(a310)
    | ~ spl0_52
    | ~ spl0_116 ),
    inference(resolution,[],[f413,f714]) ).

fof(f1842,plain,
    ( spl0_114
    | spl0_115
    | ~ spl0_52
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1835,f713,f412,f709,f704]) ).

fof(f1844,plain,
    ( ~ c1_1(a294)
    | c2_1(a294)
    | ~ spl0_54
    | spl0_152 ),
    inference(resolution,[],[f421,f882]) ).

fof(f1851,plain,
    ( ~ c1_1(a333)
    | c2_1(a333)
    | ~ spl0_54
    | spl0_159 ),
    inference(resolution,[],[f421,f986]) ).

fof(f1862,plain,
    ( c0_1(a294)
    | c1_1(a294)
    | ~ spl0_60
    | spl0_150 ),
    inference(resolution,[],[f451,f873]) ).

fof(f1869,plain,
    ( c0_1(a346)
    | c1_1(a346)
    | ~ spl0_60
    | spl0_75 ),
    inference(resolution,[],[f451,f523]) ).

fof(f1872,plain,
    ( spl0_76
    | spl0_77
    | ~ spl0_60
    | spl0_75 ),
    inference(avatar_split_clause,[],[f1869,f522,f450,f531,f527]) ).

fof(f1895,plain,
    ( spl0_91
    | ~ spl0_92
    | ~ spl0_54
    | spl0_159 ),
    inference(avatar_split_clause,[],[f1851,f985,f420,f601,f597]) ).

fof(f1900,plain,
    ( ~ c2_1(a323)
    | ~ c0_1(a323)
    | ~ spl0_28
    | spl0_99 ),
    inference(resolution,[],[f314,f635]) ).

fof(f1909,plain,
    ( ~ spl0_101
    | ~ spl0_100
    | ~ spl0_28
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1900,f634,f313,f639,f643]) ).

fof(f1916,plain,
    ( ~ c1_1(a333)
    | c2_1(a333)
    | ~ spl0_32
    | spl0_90 ),
    inference(resolution,[],[f330,f593]) ).

fof(f1919,plain,
    ( spl0_91
    | ~ spl0_92
    | ~ spl0_32
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1916,f592,f329,f601,f597]) ).

fof(f1922,plain,
    ( c0_1(a294)
    | c2_1(a294)
    | ~ spl0_56
    | spl0_150 ),
    inference(resolution,[],[f434,f873]) ).

fof(f1938,plain,
    ( c0_1(a310)
    | c1_1(a310)
    | ~ spl0_58
    | ~ spl0_116 ),
    inference(resolution,[],[f441,f714]) ).

fof(f1940,plain,
    ( c0_1(a321)
    | c1_1(a321)
    | ~ spl0_58
    | ~ spl0_103 ),
    inference(resolution,[],[f441,f654]) ).

fof(f1941,plain,
    ( c0_1(a336)
    | c1_1(a336)
    | ~ spl0_58
    | ~ spl0_89 ),
    inference(resolution,[],[f441,f588]) ).

fof(f1945,plain,
    ( spl0_87
    | spl0_88
    | ~ spl0_58
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1941,f587,f440,f583,f578]) ).

fof(f1946,plain,
    ( spl0_102
    | spl0_168
    | ~ spl0_58
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1940,f653,f440,f1175,f648]) ).

fof(f1947,plain,
    ( spl0_161
    | spl0_115
    | ~ spl0_58
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1938,f713,f440,f709,f1028]) ).

fof(f1961,plain,
    ( spl0_157
    | spl0_152
    | ~ spl0_60
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1862,f872,f450,f881,f961]) ).

fof(f1967,plain,
    ( spl0_151
    | ~ spl0_157
    | ~ spl0_54
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1844,f881,f420,f961,f877]) ).

fof(f1968,plain,
    ( ~ spl0_122
    | spl0_153
    | ~ spl0_30
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f919,f737,f322,f889,f741]) ).

fof(f1977,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_56
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1922,f872,f433,f881,f877]) ).

fof(f1984,plain,
    ( ~ c0_1(a299)
    | ~ c1_1(a299)
    | ~ spl0_22
    | ~ spl0_142 ),
    inference(resolution,[],[f291,f836]) ).

fof(f1993,plain,
    ( ~ spl0_169
    | ~ spl0_143
    | ~ spl0_22
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1984,f835,f290,f839,f1185]) ).

fof(f2009,plain,
    ( ~ c2_1(a297)
    | ~ c1_1(a297)
    | ~ spl0_25
    | spl0_144 ),
    inference(resolution,[],[f303,f845]) ).

fof(f2013,plain,
    ( ~ c2_1(a330)
    | ~ c1_1(a330)
    | ~ spl0_25
    | spl0_93 ),
    inference(resolution,[],[f303,f607]) ).

fof(f2019,plain,
    ( ~ spl0_95
    | ~ spl0_94
    | ~ spl0_25
    | spl0_93 ),
    inference(avatar_split_clause,[],[f2013,f606,f302,f611,f615]) ).

fof(f2023,definition,
    ( spl0_174
  <=> c2_1(a297) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f2025,plain,
    ( ~ spl0_146
    | ~ spl0_174
    | ~ spl0_25
    | spl0_144 ),
    inference(avatar_split_clause,[],[f2009,f844,f302,f2023,f853]) ).

fof(f2051,plain,
    ( c0_1(a308)
    | ~ c1_1(a308)
    | ~ spl0_55
    | ~ spl0_121 ),
    inference(resolution,[],[f430,f738]) ).

fof(f2061,plain,
    ( ~ spl0_122
    | spl0_120
    | ~ spl0_55
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2051,f737,f429,f732,f741]) ).

fof(f2069,plain,
    ( ~ c1_1(a297)
    | c0_1(a297)
    | ~ spl0_51
    | spl0_144 ),
    inference(resolution,[],[f409,f845]) ).

fof(f2082,plain,
    ( spl0_145
    | ~ spl0_146
    | ~ spl0_51
    | spl0_144 ),
    inference(avatar_split_clause,[],[f2069,f844,f408,f853,f849]) ).

fof(f2095,plain,
    ( ~ c1_1(a320)
    | c2_1(a320)
    | ~ spl0_54
    | spl0_106 ),
    inference(resolution,[],[f421,f668]) ).

fof(f2101,plain,
    ( spl0_105
    | ~ spl0_107
    | ~ spl0_54
    | spl0_106 ),
    inference(avatar_split_clause,[],[f2095,f667,f420,f671,f662]) ).

fof(f2111,plain,
    ( c0_1(a297)
    | c2_1(a297)
    | ~ spl0_56
    | spl0_144 ),
    inference(resolution,[],[f434,f845]) ).

fof(f2116,plain,
    ( c0_1(a333)
    | c2_1(a333)
    | ~ spl0_56
    | spl0_90 ),
    inference(resolution,[],[f434,f593]) ).

fof(f2117,plain,
    ( c0_1(a338)
    | c2_1(a338)
    | ~ spl0_56
    | spl0_84 ),
    inference(resolution,[],[f434,f565]) ).

fof(f2118,plain,
    ( c0_1(a346)
    | c2_1(a346)
    | ~ spl0_56
    | spl0_75 ),
    inference(resolution,[],[f434,f523]) ).

fof(f2121,plain,
    ( spl0_170
    | spl0_77
    | ~ spl0_56
    | spl0_75 ),
    inference(avatar_split_clause,[],[f2118,f522,f433,f531,f1217]) ).

fof(f2122,plain,
    ( spl0_85
    | spl0_158
    | ~ spl0_56
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2117,f564,f433,f968,f569]) ).

fof(f2123,plain,
    ( spl0_91
    | spl0_159
    | ~ spl0_56
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2116,f592,f433,f985,f597]) ).

fof(f2124,plain,
    ( spl0_174
    | spl0_145
    | ~ spl0_56
    | spl0_144 ),
    inference(avatar_split_clause,[],[f2111,f844,f433,f849,f2023]) ).

fof(f2132,plain,
    ( c2_1(a310)
    | c1_1(a310)
    | ~ spl0_61
    | spl0_115 ),
    inference(resolution,[],[f456,f710]) ).

fof(f2142,plain,
    ( spl0_161
    | spl0_114
    | ~ spl0_61
    | spl0_115 ),
    inference(avatar_split_clause,[],[f2132,f709,f455,f704,f1028]) ).

fof(f2165,plain,
    ( ~ c1_1(a333)
    | c2_1(a333)
    | ~ spl0_44
    | ~ spl0_159 ),
    inference(resolution,[],[f1374,f381]) ).

fof(f2167,plain,
    ( spl0_91
    | ~ spl0_92
    | ~ spl0_44
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2165,f985,f380,f601,f597]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f227]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f234]) ).

cnf(s3,plain,
    ( spl0_2
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f238]) ).

cnf(s12,plain,
    ( spl0_1
    | spl0_8
    | ~ spl0_19
    | spl0_25 ),
    inference(sat_conversion,[],[f304]) ).

cnf(s14,plain,
    ( spl0_6
    | ~ spl0_19
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f315]) ).

cnf(s17,plain,
    ( ~ spl0_19
    | spl0_27
    | spl0_30 ),
    inference(sat_conversion,[],[f324]) ).

cnf(s18,plain,
    ( ~ spl0_19
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s20,plain,
    ( ~ spl0_19
    | spl0_22
    | spl0_30
    | spl0_32 ),
    inference(sat_conversion,[],[f333]) ).

cnf(s21,plain,
    ( ~ spl0_19
    | spl0_21
    | spl0_33 ),
    inference(sat_conversion,[],[f337]) ).

cnf(s23,plain,
    ( spl0_3
    | spl0_6
    | ~ spl0_19
    | spl0_36 ),
    inference(sat_conversion,[],[f348]) ).

cnf(s24,plain,
    ( spl0_2
    | ~ spl0_19
    | spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f352]) ).

cnf(s27,plain,
    ( spl0_4
    | spl0_6
    | ~ spl0_19
    | spl0_40 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s29,plain,
    ( spl0_12
    | ~ spl0_19
    | spl0_32
    | spl0_41 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s31,plain,
    ( spl0_4
    | ~ spl0_19
    | spl0_43 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s35,plain,
    ( ~ spl0_19
    | spl0_45
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f396]) ).

cnf(s36,plain,
    ( ~ spl0_19
    | spl0_32
    | spl0_34
    | spl0_48 ),
    inference(sat_conversion,[],[f397]) ).

cnf(s38,plain,
    ( spl0_2
    | ~ spl0_19
    | spl0_33
    | spl0_49 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s41,plain,
    ( spl0_6
    | spl0_13
    | ~ spl0_19
    | spl0_52 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s49,plain,
    ( ~ spl0_19
    | spl0_51
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s50,plain,
    ( ~ spl0_19
    | spl0_35
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s51,plain,
    ( ~ spl0_19
    | spl0_47
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s52,plain,
    ( ~ spl0_19
    | spl0_30
    | spl0_47
    | spl0_58 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s53,plain,
    ( spl0_14
    | ~ spl0_19
    | spl0_35
    | spl0_59 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s54,plain,
    ( ~ spl0_19
    | spl0_25
    | spl0_54
    | spl0_59 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s56,plain,
    ( ~ spl0_19
    | spl0_48
    | spl0_56
    | spl0_60 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s57,plain,
    ( ~ spl0_19
    | spl0_44
    | spl0_47
    | spl0_61 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s60,plain,
    ( ~ spl0_19
    | spl0_49
    | spl0_56
    | spl0_61 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s73,plain,
    ( ~ spl0_5
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s74,plain,
    ( ~ spl0_5
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s75,plain,
    ( ~ spl0_5
    | spl0_74 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s77,plain,
    ( ~ spl0_1
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s78,plain,
    ( ~ spl0_1
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s79,plain,
    ( ~ spl0_1
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s80,plain,
    ( ~ spl0_1
    | spl0_19 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s89,plain,
    ( ~ spl0_31
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s90,plain,
    ( ~ spl0_31
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s91,plain,
    ( ~ spl0_31
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s93,plain,
    ( ~ spl0_21
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s94,plain,
    ( ~ spl0_21
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s95,plain,
    ( ~ spl0_21
    | spl0_89 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s97,plain,
    ( ~ spl0_3
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s98,plain,
    ( ~ spl0_3
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s99,plain,
    ( ~ spl0_3
    | spl0_92 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s100,plain,
    ( ~ spl0_3
    | spl0_19 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s101,plain,
    ( ~ spl0_37
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s102,plain,
    ( ~ spl0_37
    | spl0_94 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s103,plain,
    ( ~ spl0_37
    | spl0_95 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s109,plain,
    ( ~ spl0_12
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s110,plain,
    ( ~ spl0_12
    | spl0_100 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s111,plain,
    ( ~ spl0_12
    | spl0_101 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s113,plain,
    ( ~ spl0_4
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s114,plain,
    ( ~ spl0_4
    | spl0_103 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s115,plain,
    ( ~ spl0_4
    | spl0_104 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s117,plain,
    ( ~ spl0_8
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s118,plain,
    ( ~ spl0_8
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s119,plain,
    ( ~ spl0_8
    | spl0_107 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s121,plain,
    ( ~ spl0_45
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s122,plain,
    ( ~ spl0_45
    | spl0_109 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s123,plain,
    ( ~ spl0_45
    | spl0_110 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s129,plain,
    ( ~ spl0_2
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s130,plain,
    ( ~ spl0_2
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s131,plain,
    ( ~ spl0_2
    | spl0_116 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s132,plain,
    ( ~ spl0_2
    | spl0_19 ),
    inference(sat_conversion,[],[f716]) ).

cnf(s133,plain,
    ( ~ spl0_6
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s134,plain,
    ( ~ spl0_6
    | spl0_118 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s135,plain,
    ( ~ spl0_6
    | spl0_119 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s137,plain,
    ( ~ spl0_13
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s138,plain,
    ( ~ spl0_13
    | spl0_121 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s139,plain,
    ( ~ spl0_13
    | spl0_122 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s165,plain,
    ( ~ spl0_34
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s166,plain,
    ( ~ spl0_34
    | spl0_142 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s167,plain,
    ( ~ spl0_34
    | spl0_143 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s169,plain,
    ( ~ spl0_57
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s170,plain,
    ( ~ spl0_57
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s171,plain,
    ( ~ spl0_57
    | spl0_146 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s173,plain,
    ( ~ spl0_14
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s174,plain,
    ( ~ spl0_14
    | spl0_148 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s175,plain,
    ( ~ spl0_14
    | spl0_149 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s177,plain,
    ( ~ spl0_47
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s178,plain,
    ( ~ spl0_47
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s179,plain,
    ( ~ spl0_47
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s193,plain,
    ( ~ spl0_33
    | spl0_72
    | spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s195,plain,
    ( ~ spl0_33
    | spl0_90
    | spl0_91
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s200,plain,
    ( ~ spl0_35
    | spl0_87
    | ~ spl0_89
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1010]) ).

cnf(s212,plain,
    ( ~ spl0_41
    | spl0_84
    | spl0_86
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1096]) ).

cnf(s214,plain,
    ( ~ spl0_43
    | spl0_87
    | ~ spl0_89
    | spl0_160 ),
    inference(sat_conversion,[],[f1112]) ).

cnf(s227,plain,
    ( ~ spl0_48
    | spl0_88
    | ~ spl0_89
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s228,plain,
    ( ~ spl0_48
    | ~ spl0_103
    | ~ spl0_104
    | spl0_168 ),
    inference(sat_conversion,[],[f1177]) ).

cnf(s231,plain,
    ( ~ spl0_30
    | spl0_141
    | ~ spl0_142
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1190]) ).

cnf(s232,plain,
    ( ~ spl0_43
    | spl0_141
    | ~ spl0_142
    | spl0_169 ),
    inference(sat_conversion,[],[f1192]) ).

cnf(s250,plain,
    ( ~ spl0_32
    | spl0_150
    | spl0_151
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s260,plain,
    ( ~ spl0_40
    | spl0_75
    | spl0_76
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1293]) ).

cnf(s321,plain,
    ( ~ spl0_52
    | spl0_88
    | ~ spl0_89
    | spl0_160 ),
    inference(sat_conversion,[],[f1466]) ).

cnf(s332,plain,
    ( ~ spl0_59
    | spl0_76
    | spl0_77
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1518]) ).

cnf(s334,plain,
    ( ~ spl0_59
    | spl0_87
    | spl0_88
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1520]) ).

cnf(s383,plain,
    ( ~ spl0_36
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1617]) ).

cnf(s385,plain,
    ( ~ spl0_49
    | spl0_120
    | ~ spl0_122
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1619]) ).

cnf(s416,plain,
    ( ~ spl0_35
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f1726]) ).

cnf(s455,plain,
    ( ~ spl0_30
    | spl0_114
    | ~ spl0_116
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1786]) ).

cnf(s456,plain,
    ( ~ spl0_30
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1787]) ).

cnf(s463,plain,
    ( ~ spl0_49
    | spl0_108
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1815]) ).

cnf(s469,plain,
    ( ~ spl0_27
    | ~ spl0_103
    | ~ spl0_104
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1830]) ).

cnf(s472,plain,
    ( ~ spl0_52
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1842]) ).

cnf(s477,plain,
    ( ~ spl0_60
    | spl0_75
    | spl0_76
    | spl0_77 ),
    inference(sat_conversion,[],[f1872]) ).

cnf(s499,plain,
    ( ~ spl0_54
    | spl0_91
    | ~ spl0_92
    | spl0_159 ),
    inference(sat_conversion,[],[f1895]) ).

cnf(s502,plain,
    ( ~ spl0_28
    | spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1909]) ).

cnf(s503,plain,
    ( ~ spl0_32
    | spl0_90
    | spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f1919]) ).

cnf(s507,plain,
    ( ~ spl0_58
    | spl0_87
    | spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f1945]) ).

cnf(s508,plain,
    ( ~ spl0_58
    | spl0_102
    | ~ spl0_103
    | spl0_168 ),
    inference(sat_conversion,[],[f1946]) ).

cnf(s509,plain,
    ( ~ spl0_58
    | spl0_115
    | ~ spl0_116
    | spl0_161 ),
    inference(sat_conversion,[],[f1947]) ).

cnf(s527,plain,
    ( ~ spl0_60
    | spl0_150
    | spl0_152
    | spl0_157 ),
    inference(sat_conversion,[],[f1961]) ).

cnf(s533,plain,
    ( ~ spl0_54
    | spl0_151
    | spl0_152
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s534,plain,
    ( ~ spl0_30
    | ~ spl0_121
    | ~ spl0_122
    | spl0_153 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s543,plain,
    ( ~ spl0_56
    | spl0_150
    | spl0_151
    | spl0_152 ),
    inference(sat_conversion,[],[f1977]) ).

cnf(s550,plain,
    ( ~ spl0_22
    | ~ spl0_142
    | ~ spl0_143
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1993]) ).

cnf(s552,plain,
    ( ~ spl0_25
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f2019]) ).

cnf(s554,plain,
    ( ~ spl0_25
    | spl0_144
    | ~ spl0_146
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2025]) ).

cnf(s558,plain,
    ( ~ spl0_55
    | spl0_120
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2061]) ).

cnf(s564,plain,
    ( ~ spl0_51
    | spl0_144
    | spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2082]) ).

cnf(s568,plain,
    ( ~ spl0_54
    | spl0_105
    | spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2101]) ).

cnf(s573,plain,
    ( ~ spl0_56
    | spl0_75
    | spl0_77
    | spl0_170 ),
    inference(sat_conversion,[],[f2121]) ).

cnf(s574,plain,
    ( ~ spl0_56
    | spl0_84
    | spl0_85
    | spl0_158 ),
    inference(sat_conversion,[],[f2122]) ).

cnf(s575,plain,
    ( ~ spl0_56
    | spl0_90
    | spl0_91
    | spl0_159 ),
    inference(sat_conversion,[],[f2123]) ).

cnf(s576,plain,
    ( ~ spl0_56
    | spl0_144
    | spl0_145
    | spl0_174 ),
    inference(sat_conversion,[],[f2124]) ).

cnf(s579,plain,
    ( ~ spl0_61
    | spl0_114
    | spl0_115
    | spl0_161 ),
    inference(sat_conversion,[],[f2142]) ).

cnf(s585,plain,
    ( ~ spl0_44
    | spl0_91
    | ~ spl0_92
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f2167]) ).

cnf(s586,plain,
    ( spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s20,s550,s231,s232,s165,s166,s167,s36,s227,s214,s93,s94,s95,s21,s193,s73,s74,s75,s2,s31,s100,s503,s97,s98,s99]) ).

cnf(s587,plain,
    ( spl0_59
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s568,s117,s118,s119,s12,s54,s552,s101,s102,s103,s24,s383,s173,s174,s175,s53,s100,s416,s113,s114,s115,s586,s1]) ).

cnf(s588,plain,
    ( ~ spl0_47
    | ~ spl0_56 ),
    inference(rat,[],[s543,s177,s178,s179]) ).

cnf(s589,plain,
    ( ~ spl0_14
    | ~ spl0_36 ),
    inference(rat,[],[s383,s173,s174,s175]) ).

cnf(s590,plain,
    ( ~ spl0_45
    | ~ spl0_49 ),
    inference(rat,[],[s463,s121,s122,s123]) ).

cnf(s591,plain,
    ( ~ spl0_56
    | spl0_45
    | spl0_58
    | ~ spl0_3 ),
    inference(rat,[],[s456,s133,s134,s135,s14,s469,s228,s35,s52,s588,s502,s109,s110,s111,s29,s212,s574,s91,s90,s89,s18,s503,s97,s98,s99,s100,s115,s114,s586]) ).

cnf(s592,plain,
    ( ~ spl0_6
    | ~ spl0_30 ),
    inference(rat,[],[s456,s133,s134,s135]) ).

cnf(s593,plain,
    ( ~ spl0_30
    | spl0_52
    | ~ spl0_49
    | ~ spl0_19 ),
    inference(rat,[],[s385,s534,s137,s138,s139,s41,s592]) ).

cnf(s594,plain,
    ( spl0_33
    | ~ spl0_59
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s527,s56,s533,s228,s177,s178,s179,s469,s52,s17,s593,s50,s591,s590,s321,s334,s507,s93,s94,s95,s21,s38,s100,s416,s113,s114,s115,s586]) ).

cnf(s595,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s50,s575,s499,s195,s594,s587,s416,s113,s114,s115,s586,s97,s98,s99,s100,s1]) ).

cnf(s596,plain,
    ( ~ spl0_56
    | spl0_58
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s579,s455,s57,s52,s585,s588,s575,s132,s131,s130,s129,s99,s98,s97]) ).

cnf(s597,plain,
    ( ~ spl0_30
    | spl0_56
    | ~ spl0_2 ),
    inference(rat,[],[s579,s60,s455,s593,s132,s472,s129,s130,s131]) ).

cnf(s598,plain,
    ( spl0_58
    | ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s527,s56,s533,s228,s177,s178,s179,s469,s52,s17,s597,s50,s596,s132,s416,s113,s114,s115,s586]) ).

cnf(s599,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s17,s469,s455,s508,s509,s598,s113,s114,s115,s586,s132,s131,s130,s129]) ).

cnf(s600,plain,
    ( ~ spl0_30
    | spl0_1 ),
    inference(rat,[],[s568,s117,s118,s119,s12,s49,s554,s564,s576,s169,s170,s171,s558,s51,s137,s138,s139,s588,s509,s41,s597,s455,s592,s132,s472,s129,s130,s131,s595]) ).

cnf(s601,plain,
    ( ~ spl0_21
    | ~ spl0_58 ),
    inference(rat,[],[s507,s93,s94,s95]) ).

cnf(s602,plain,
    ( ~ spl0_5
    | ~ spl0_33 ),
    inference(rat,[],[s193,s73,s74,s75]) ).

cnf(s603,plain,
    ( ~ spl0_103
    | spl0_102
    | ~ spl0_104
    | ~ spl0_58
    | ~ spl0_27 ),
    inference(rat,[],[s508,s469]) ).

cnf(s604,plain,
    ( ~ spl0_58
    | spl0_1 ),
    inference(rat,[],[s114,s603,s113,s115,s2,s602,s21,s601,s17,s600,s132,s595]) ).

cnf(s605,plain,
    ( ~ spl0_104
    | ~ spl0_103
    | spl0_1 ),
    inference(rat,[],[s31,s232,s113,s550,s416,s165,s166,s167,s50,s36,s20,s533,s250,s527,s56,s228,s469,s17,s179,s178,s177,s588,s52,s604,s132,s595,s600]) ).

cnf(s606,plain,
    ( spl0_4
    | spl0_1 ),
    inference(rat,[],[s527,s533,s56,s50,s227,s200,s214,s93,s94,s95,s21,s602,s2,s31,s179,s178,s177,s588,s52,s604,s132,s595,s600]) ).

cnf(s607,plain,
    spl0_1,
    inference(rat,[],[s605,s114,s115,s606]) ).

cnf(s608,plain,
    spl0_19,
    inference(rat,[],[s80,s607]) ).

cnf(s609,plain,
    ~ spl0_77,
    inference(rat,[],[s79,s607]) ).

cnf(s610,plain,
    ~ spl0_76,
    inference(rat,[],[s78,s607]) ).

cnf(s611,plain,
    ~ spl0_75,
    inference(rat,[],[s77,s607]) ).

cnf(s612,plain,
    ~ spl0_60,
    inference(rat,[],[s477,s609,s610,s611]) ).

cnf(s613,plain,
    ( ~ spl0_3
    | ~ spl0_56 ),
    inference(rat,[],[s591,s601,s590,s21,s38,s195,s575,s599,s97,s98,s608]) ).

cnf(s614,plain,
    ( spl0_6
    | ~ spl0_56 ),
    inference(rat,[],[s53,s416,s589,s113,s114,s115,s23,s27,s332,s260,s573,s613,s608,s611,s610,s609]) ).

cnf(s615,plain,
    ~ spl0_56,
    inference(rat,[],[s603,s113,s114,s115,s2,s602,s21,s601,s52,s17,s592,s614,s588,s608]) ).

cnf(s616,plain,
    spl0_48,
    inference(rat,[],[s56,s612,s608,s615]) ).

cnf(s617,plain,
    ( ~ spl0_52
    | spl0_88
    | ~ spl0_89 ),
    inference(rat,[],[s227,s321,s616]) ).

cnf(s618,plain,
    ~ spl0_30,
    inference(rat,[],[s617,s94,s95,s593,s21,s38,s602,s3,s597,s592,s608,s615]) ).

cnf(s619,plain,
    spl0_27,
    inference(rat,[],[s17,s608,s618]) ).

cnf(s620,plain,
    ( ~ spl0_104
    | ~ spl0_103 ),
    inference(rat,[],[s228,s469,s619,s616]) ).

cnf(s621,plain,
    spl0_4,
    inference(rat,[],[s227,s214,s93,s94,s95,s21,s602,s2,s31,s616,s608]) ).

cnf(s622,plain,
    spl0_104,
    inference(rat,[],[s115,s621]) ).

cnf(s623,plain,
    spl0_103,
    inference(rat,[],[s114,s621]) ).

cnf(s625,plain,
    $false,
    inference(rat,[],[s620,s623,s622]) ).

fof(f2168,plain,
    $false,
    inference(avatar_sat_refutation,[],[s625]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN445+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n009.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 16:04:04 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running first-order theorem proving
% 0.07/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.30/1.13  % (3186147)Detected formulas, will run a generic FOF schedule.
% 1.30/1.13  % (3186152)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2613682185:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.30/1.13  % (3186156)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3862379510:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.30/1.13  % (3186154)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1452629088:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.30/1.13  % (3186155)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1223118988:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.30/1.13  % (3186157)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=967059035:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.30/1.13  % (3186153)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1201848692:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.30/1.13  % (3186158)dis-21_1_sil=8000:lcm=predicate:random_seed=3765309476:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.30/1.13  % (3186158)First to succeed.
% 1.30/1.13  % (3186158)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3186147"
% 1.30/1.13  % (3186157)Also succeeded, but the first one will report.
% 1.30/1.13  % (3186155)Also succeeded, but the first one will report.
% 1.30/1.13  % (3186156)Instruction limit reached! 
% 1.30/1.13  % (3186156)------------------------------
% 1.30/1.13  % (3186156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.30/1.13  % (3186156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/1.13  % (3186156)CaDiCaL version: 2.1.3
% 1.30/1.13  % (3186156)Termination reason: Instruction limit
% 1.30/1.13  % (3186156)Termination phase: Saturation
% 1.30/1.13  % (3186156)Time elapsed: 0.059 s
% 1.30/1.13  % (3186156)Peak memory usage: 87 MB
% 1.30/1.13  % (3186156)Instructions burned: 121 (million)
% 1.30/1.13  % (3186166)lrs+10_1_sil=8000:sp=occurrence:random_seed=4010971634:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.30/1.13  % (3186166)Also succeeded, but the first one will report.
% 1.30/1.13  % (3186158)Refutation found. Thanks to Tanya!
% 1.30/1.13  % SZS status Theorem for theBenchmark
% 1.30/1.13  % SZS output start Proof for theBenchmark
% See solution above
% 3.92/1.32  % (3186158)------------------------------
% 3.92/1.32  % (3186158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.92/1.32  % (3186158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.92/1.32  % (3186158)CaDiCaL version: 2.1.3
% 3.92/1.32  % (3186158)Termination reason: Refutation
% 3.92/1.32  % (3186158)Time elapsed: 0.031 s
% 3.92/1.32  % (3186158)Peak memory usage: 90 MB
% 3.92/1.32  % (3186158)Instructions burned: 51 (million)
% 3.92/1.32  % (3186158)------------------------------
% 3.92/1.32  % (3186158)------------------------------
% 3.92/1.32  % (3186147)Success in time 0.462 s
% 3.92/1.32  % Vampire exiting
%------------------------------------------------------------------------------