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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN448+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 01:51:44 PM UTC 2026

% Result   : Theorem 2.96s 1.11s
% Output   : Refutation 3.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :  104
% Syntax   : Number of formulae    :  609 (  25 unt; 103 def)
%            Number of atoms       : 4937 (   0 equ)
%            Maximal formula atoms :  603 (   8 avg)
%            Number of connectives : 6482 (2154   ~;3071   |; 875   &)
%                                         ( 103 <=>; 279  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   95 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  138 ( 137 usr; 134 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  593 (   0 sgn 593   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a460)
          & ~ c2_1(a460)
          & ~ c3_1(a460) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a463)
          & ~ c0_1(a463)
          & ~ c1_1(a463) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c0_1(a465)
          & ~ c2_1(a465)
          & ~ c3_1(a465) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a466)
          & c3_1(a466)
          & ~ c0_1(a466) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c3_1(a467)
          & ~ c0_1(a467)
          & ~ c1_1(a467) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a468)
          & c3_1(a468)
          & ~ c2_1(a468) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a471)
          & ~ c1_1(a471)
          & ~ c3_1(a471) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a474)
          & ~ c1_1(a474)
          & ~ c2_1(a474) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a475)
          & c1_1(a475)
          & ~ c3_1(a475) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a476)
          & c2_1(a476)
          & ~ c1_1(a476) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a477)
          & c2_1(a477)
          & ~ c3_1(a477) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a478)
          & ~ c0_1(a478)
          & ~ c3_1(a478) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a480)
          & ~ c1_1(a480)
          & ~ c2_1(a480) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a483)
          & c2_1(a483)
          & ~ c3_1(a483) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ c1_1(a488)
          & ~ c2_1(a488)
          & ~ c3_1(a488) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a492)
          & c3_1(a492)
          & ~ c2_1(a492) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a493)
          & ~ c0_1(a493)
          & ~ c2_1(a493) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a494)
          & ~ c1_1(a494)
          & ~ c3_1(a494) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a500)
          & c2_1(a500)
          & ~ c0_1(a500) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a502)
          & c3_1(a502)
          & ~ c0_1(a502) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a503)
          & c3_1(a503)
          & ~ c1_1(a503) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a512)
          & c3_1(a512)
          & ~ c1_1(a512) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a524)
          & c1_1(a524)
          & ~ c2_1(a524) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a533)
          & ~ c1_1(a533)
          & ~ c3_1(a533) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a540)
          & ~ c1_1(a540)
          & ~ c2_1(a540) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a461)
          & c2_1(a461)
          & c3_1(a461) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a470)
          & c2_1(a470)
          & c3_1(a470) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a473)
          & c1_1(a473)
          & c3_1(a473) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a490)
          & c1_1(a490)
          & c2_1(a490) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | ~ c2_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | ~ c1_1(X3)
              | ~ c3_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c3_1(X4)
              | ~ c0_1(X4) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c3_1(X6)
              | ~ c0_1(X6) ) )
        | hskp25 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c2_1(X8)
              | ~ c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | ~ c0_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | hskp0
        | hskp1 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c2_1(X12)
              | c3_1(X12) ) )
        | hskp0 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) )
        | hskp2 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | ~ c1_1(X16)
              | ~ c3_1(X16) ) )
        | hskp3 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | ~ c1_1(X19)
              | ~ c2_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | ~ c1_1(X21)
              | ~ c3_1(X21) ) )
        | hskp4 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | ~ c1_1(X23)
              | ~ c2_1(X23) ) )
        | hskp5 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | ~ c2_1(X25)
              | ~ c3_1(X25) ) )
        | hskp4 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c1_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | ~ c2_1(X27)
              | ~ c3_1(X27) ) )
        | hskp26 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c2_1(X28) ) )
        | hskp6
        | hskp2 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) )
        | hskp27 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | c3_1(X32)
              | ~ c0_1(X32) ) )
        | hskp7 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c1_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c2_1(X35)
              | ~ c3_1(X35) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | ~ c2_1(X37)
              | ~ c3_1(X37) ) )
        | hskp8 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c2_1(X39)
              | ~ c3_1(X39) ) )
        | hskp9 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c1_1(X41)
              | ~ c2_1(X41) ) )
        | hskp10 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c3_1(X42)
              | ~ c1_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c0_1(X43)
              | ~ c2_1(X43)
              | ~ c3_1(X43) ) )
        | hskp11 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c2_1(X44) ) )
        | hskp0
        | hskp12 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c1_1(X45)
              | ~ c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c2_1(X46)
              | ~ c0_1(X46) ) )
        | hskp9 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c1_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | c3_1(X48)
              | ~ c0_1(X48) ) )
        | hskp9 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c3_1(X50)
              | ~ c0_1(X50) ) )
        | hskp13 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | hskp27
        | hskp10 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | ~ c0_1(X53)
              | ~ c2_1(X53) ) )
        | hskp8 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | ~ c1_1(X55)
              | ~ c2_1(X55) ) )
        | hskp7 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | ~ c2_1(X57)
              | ~ c3_1(X57) ) )
        | hskp14 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | ~ c1_1(X60)
              | ~ c3_1(X60) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c3_1(X62)
              | ~ c2_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c2_1(X63)
              | ~ c0_1(X63)
              | ~ c1_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | ~ c1_1(X65)
              | ~ c2_1(X65) ) )
        | hskp10 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | ~ c0_1(X67)
              | ~ c3_1(X67) ) )
        | hskp28 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | c3_1(X68) ) )
        | hskp3
        | hskp15 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c0_1(X69) ) )
        | hskp16
        | hskp17 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp7
        | hskp12 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c0_1(X72) ) )
        | hskp12 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c3_1(X73)
              | ~ c0_1(X73) ) )
        | hskp27
        | hskp16 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c3_1(X74)
              | ~ c0_1(X74) ) )
        | hskp18
        | hskp2 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c3_1(X75)
              | ~ c2_1(X75) ) )
        | hskp19
        | hskp20 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c3_1(X76)
              | ~ c2_1(X76) ) )
        | hskp12
        | hskp14 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | ~ c2_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c0_1(X78)
              | ~ c3_1(X78) ) )
        | hskp9 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c0_1(X79)
              | ~ c2_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c2_1(X80)
              | ~ c3_1(X80) ) )
        | hskp17 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) )
        | hskp3
        | hskp12 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | c3_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c1_1(X83)
              | ~ c2_1(X83) ) )
        | hskp1 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | c3_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c1_1(X85)
              | ~ c3_1(X85) ) )
        | hskp3 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | c3_1(X86)
              | ~ c1_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) )
        | hskp21 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | c3_1(X88)
              | ~ c1_1(X88) ) )
        | hskp11
        | hskp7 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | ~ c0_1(X89)
              | ~ c1_1(X89) ) )
        | hskp18
        | hskp20 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c0_1(X90)
              | ~ c1_1(X90) ) )
        | hskp15
        | hskp2 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | ~ c1_1(X91)
              | ~ c3_1(X91) ) )
        | hskp15
        | hskp12 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c3_1(X92)
              | ~ c0_1(X92)
              | ~ c2_1(X92) ) )
        | hskp26
        | hskp10 )
      & ( hskp27
        | hskp22
        | hskp17 )
      & ( hskp8
        | hskp15
        | hskp16 )
      & ( hskp25
        | hskp5
        | hskp14 )
      & ( hskp9
        | hskp23
        | hskp20 )
      & ( hskp21
        | hskp10
        | hskp6 )
      & ( hskp5
        | hskp11 )
      & ( hskp24
        | hskp15
        | hskp16 )
      & ( hskp20
        | hskp6
        | hskp12 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a460)
            & ~ c2_1(a460)
            & ~ c3_1(a460) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a463)
            & ~ c0_1(a463)
            & ~ c1_1(a463) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a465)
            & ~ c2_1(a465)
            & ~ c3_1(a465) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a466)
            & c3_1(a466)
            & ~ c0_1(a466) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c3_1(a467)
            & ~ c0_1(a467)
            & ~ c1_1(a467) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a468)
            & c3_1(a468)
            & ~ c2_1(a468) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a471)
            & ~ c1_1(a471)
            & ~ c3_1(a471) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a474)
            & ~ c1_1(a474)
            & ~ c2_1(a474) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a475)
            & c1_1(a475)
            & ~ c3_1(a475) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a476)
            & c2_1(a476)
            & ~ c1_1(a476) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a477)
            & c2_1(a477)
            & ~ c3_1(a477) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a478)
            & ~ c0_1(a478)
            & ~ c3_1(a478) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a480)
            & ~ c1_1(a480)
            & ~ c2_1(a480) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a483)
            & c2_1(a483)
            & ~ c3_1(a483) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & ~ c1_1(a488)
            & ~ c2_1(a488)
            & ~ c3_1(a488) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a492)
            & c3_1(a492)
            & ~ c2_1(a492) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a493)
            & ~ c0_1(a493)
            & ~ c2_1(a493) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a494)
            & ~ c1_1(a494)
            & ~ c3_1(a494) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a500)
            & c2_1(a500)
            & ~ c0_1(a500) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a502)
            & c3_1(a502)
            & ~ c0_1(a502) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a503)
            & c3_1(a503)
            & ~ c1_1(a503) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a512)
            & c3_1(a512)
            & ~ c1_1(a512) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a524)
            & c1_1(a524)
            & ~ c2_1(a524) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a533)
            & ~ c1_1(a533)
            & ~ c3_1(a533) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a540)
            & ~ c1_1(a540)
            & ~ c2_1(a540) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a461)
            & c2_1(a461)
            & c3_1(a461) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a470)
            & c2_1(a470)
            & c3_1(a470) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a473)
            & c1_1(a473)
            & c3_1(a473) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a490)
            & c1_1(a490)
            & c2_1(a490) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | ~ c2_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | ~ c1_1(X3)
                | ~ c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c3_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c3_1(X6)
                | ~ c0_1(X6) ) )
          | hskp25 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c2_1(X8)
                | ~ c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | ~ c0_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | hskp0
          | hskp1 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c2_1(X12)
                | c3_1(X12) ) )
          | hskp0 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) )
          | hskp2 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | ~ c1_1(X16)
                | ~ c3_1(X16) ) )
          | hskp3 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | ~ c1_1(X19)
                | ~ c2_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c1_1(X21)
                | ~ c3_1(X21) ) )
          | hskp4 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c1_1(X23)
                | ~ c2_1(X23) ) )
          | hskp5 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c2_1(X25)
                | ~ c3_1(X25) ) )
          | hskp4 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c2_1(X27)
                | ~ c3_1(X27) ) )
          | hskp26 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c2_1(X28) ) )
          | hskp6
          | hskp2 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) )
          | hskp27 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c3_1(X32)
                | ~ c0_1(X32) ) )
          | hskp7 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c2_1(X35)
                | ~ c3_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | ~ c2_1(X37)
                | ~ c3_1(X37) ) )
          | hskp8 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp9 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) )
          | hskp10 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | ~ c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp11 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c2_1(X44) ) )
          | hskp0
          | hskp12 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c1_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | ~ c0_1(X46) ) )
          | hskp9 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c3_1(X48)
                | ~ c0_1(X48) ) )
          | hskp9 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) )
          | hskp13 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | hskp27
          | hskp10 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | ~ c0_1(X53)
                | ~ c2_1(X53) ) )
          | hskp8 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c1_1(X55)
                | ~ c2_1(X55) ) )
          | hskp7 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp14 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c3_1(X62)
                | ~ c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c2_1(X63)
                | ~ c0_1(X63)
                | ~ c1_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | ~ c1_1(X65)
                | ~ c2_1(X65) ) )
          | hskp10 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) )
          | hskp28 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | c3_1(X68) ) )
          | hskp3
          | hskp15 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c0_1(X69) ) )
          | hskp16
          | hskp17 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp7
          | hskp12 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c0_1(X72) ) )
          | hskp12 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c3_1(X73)
                | ~ c0_1(X73) ) )
          | hskp27
          | hskp16 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | ~ c0_1(X74) ) )
          | hskp18
          | hskp2 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c3_1(X75)
                | ~ c2_1(X75) ) )
          | hskp19
          | hskp20 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c3_1(X76)
                | ~ c2_1(X76) ) )
          | hskp12
          | hskp14 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c0_1(X78)
                | ~ c3_1(X78) ) )
          | hskp9 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c0_1(X79)
                | ~ c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | hskp17 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) )
          | hskp3
          | hskp12 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c3_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c1_1(X83)
                | ~ c2_1(X83) ) )
          | hskp1 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | c3_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c1_1(X85)
                | ~ c3_1(X85) ) )
          | hskp3 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | c3_1(X86)
                | ~ c1_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | hskp21 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c3_1(X88)
                | ~ c1_1(X88) ) )
          | hskp11
          | hskp7 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | ~ c0_1(X89)
                | ~ c1_1(X89) ) )
          | hskp18
          | hskp20 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c0_1(X90)
                | ~ c1_1(X90) ) )
          | hskp15
          | hskp2 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | ~ c1_1(X91)
                | ~ c3_1(X91) ) )
          | hskp15
          | hskp12 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | ~ c0_1(X92)
                | ~ c2_1(X92) ) )
          | hskp26
          | hskp10 )
        & ( hskp27
          | hskp22
          | hskp17 )
        & ( hskp8
          | hskp15
          | hskp16 )
        & ( hskp25
          | hskp5
          | hskp14 )
        & ( hskp9
          | hskp23
          | hskp20 )
        & ( hskp21
          | hskp10
          | hskp6 )
        & ( hskp5
          | hskp11 )
        & ( hskp24
          | hskp15
          | hskp16 )
        & ( hskp20
          | hskp6
          | hskp12 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a460)
        & ~ c2_1(a460)
        & ~ c3_1(a460) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a463)
        & ~ c0_1(a463)
        & ~ c1_1(a463) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a465)
        & ~ c2_1(a465)
        & ~ c3_1(a465) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a466)
        & c3_1(a466)
        & ~ c0_1(a466) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a467)
        & ~ c0_1(a467)
        & ~ c1_1(a467) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a468)
        & c3_1(a468)
        & ~ c2_1(a468) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a471)
        & ~ c1_1(a471)
        & ~ c3_1(a471) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a474)
        & ~ c1_1(a474)
        & ~ c2_1(a474) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a475)
        & c1_1(a475)
        & ~ c3_1(a475) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a476)
        & c2_1(a476)
        & ~ c1_1(a476) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a477)
        & c2_1(a477)
        & ~ c3_1(a477) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a478)
        & ~ c0_1(a478)
        & ~ c3_1(a478) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a480)
        & ~ c1_1(a480)
        & ~ c2_1(a480) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a483)
        & c2_1(a483)
        & ~ c3_1(a483) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c1_1(a488)
        & ~ c2_1(a488)
        & ~ c3_1(a488) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a492)
        & c3_1(a492)
        & ~ c2_1(a492) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a493)
        & ~ c0_1(a493)
        & ~ c2_1(a493) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a494)
        & ~ c1_1(a494)
        & ~ c3_1(a494) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a500)
        & c2_1(a500)
        & ~ c0_1(a500) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a502)
        & c3_1(a502)
        & ~ c0_1(a502) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a503)
        & c3_1(a503)
        & ~ c1_1(a503) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a512)
        & c3_1(a512)
        & ~ c1_1(a512) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a524)
        & c1_1(a524)
        & ~ c2_1(a524) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a533)
        & ~ c1_1(a533)
        & ~ c3_1(a533) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a540)
        & ~ c1_1(a540)
        & ~ c2_1(a540) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a461)
        & c2_1(a461)
        & c3_1(a461) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a470)
        & c2_1(a470)
        & c3_1(a470) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a473)
        & c1_1(a473)
        & c3_1(a473) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a490)
        & c1_1(a490)
        & c2_1(a490) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | ~ c2_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c2_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | ~ c1_1(X3)
            | ~ c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c3_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c1_1(X6)
            | c3_1(X6)
            | ~ c0_1(X6) ) )
      | hskp25 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | ~ c2_1(X8)
            | ~ c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | ~ c0_1(X9)
            | ~ c2_1(X9) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) )
      | hskp0
      | hskp1 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c2_1(X12)
            | c3_1(X12) ) )
      | hskp0 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | ~ c1_1(X14)
            | ~ c2_1(X14) ) )
      | hskp2 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | ~ c1_1(X16)
            | ~ c3_1(X16) ) )
      | hskp3 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c1_1(X18)
            | c2_1(X18)
            | c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c3_1(X19)
            | ~ c1_1(X19)
            | ~ c2_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | ~ c1_1(X21)
            | ~ c3_1(X21) ) )
      | hskp4 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | ~ c1_1(X23)
            | ~ c2_1(X23) ) )
      | hskp5 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c2_1(X25)
            | ~ c3_1(X25) ) )
      | hskp4 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c1_1(X26)
            | ~ c2_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c2_1(X27)
            | ~ c3_1(X27) ) )
      | hskp26 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c2_1(X28) ) )
      | hskp6
      | hskp2 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c1_1(X30)
            | c2_1(X30)
            | c3_1(X30) ) )
      | hskp27 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | c3_1(X32)
            | ~ c0_1(X32) ) )
      | hskp7 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | ~ c1_1(X34)
            | ~ c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c2_1(X35)
            | ~ c3_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c1_1(X37)
            | ~ c2_1(X37)
            | ~ c3_1(X37) ) )
      | hskp8 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c2_1(X39)
            | ~ c3_1(X39) ) )
      | hskp9 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | ~ c1_1(X41)
            | ~ c2_1(X41) ) )
      | hskp10 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c3_1(X42)
            | ~ c1_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | ~ c2_1(X43)
            | ~ c3_1(X43) ) )
      | hskp11 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c2_1(X44) ) )
      | hskp0
      | hskp12 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | ~ c1_1(X45)
            | ~ c2_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c2_1(X46)
            | ~ c0_1(X46) ) )
      | hskp9 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c1_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c3_1(X48)
            | ~ c0_1(X48) ) )
      | hskp9 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c3_1(X50)
            | ~ c0_1(X50) ) )
      | hskp13 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c1_1(X51)
            | ~ c2_1(X51) ) )
      | hskp27
      | hskp10 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c1_1(X52)
            | ~ c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | ~ c0_1(X53)
            | ~ c2_1(X53) ) )
      | hskp8 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c0_1(X54)
            | ~ c1_1(X54)
            | ~ c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | ~ c1_1(X55)
            | ~ c2_1(X55) ) )
      | hskp7 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | ~ c2_1(X57)
            | ~ c3_1(X57) ) )
      | hskp14 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c2_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c2_1(X59)
            | c3_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | ~ c1_1(X60)
            | ~ c3_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( c0_1(X61)
            | ~ c2_1(X61)
            | ~ c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c3_1(X62)
            | ~ c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c2_1(X63)
            | ~ c0_1(X63)
            | ~ c1_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | ~ c1_1(X65)
            | ~ c2_1(X65) ) )
      | hskp10 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c2_1(X66)
            | c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | ~ c0_1(X67)
            | ~ c3_1(X67) ) )
      | hskp28 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | c3_1(X68) ) )
      | hskp3
      | hskp15 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | c2_1(X69)
            | ~ c0_1(X69) ) )
      | hskp16
      | hskp17 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c3_1(X70) ) )
      | hskp7
      | hskp12 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c3_1(X71)
            | ~ c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c3_1(X72)
            | ~ c0_1(X72) ) )
      | hskp12 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | c3_1(X73)
            | ~ c0_1(X73) ) )
      | hskp27
      | hskp16 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c3_1(X74)
            | ~ c0_1(X74) ) )
      | hskp18
      | hskp2 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c3_1(X75)
            | ~ c2_1(X75) ) )
      | hskp19
      | hskp20 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c3_1(X76)
            | ~ c2_1(X76) ) )
      | hskp12
      | hskp14 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | ~ c0_1(X77)
            | ~ c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c0_1(X78)
            | ~ c3_1(X78) ) )
      | hskp9 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c0_1(X79)
            | ~ c2_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | ~ c2_1(X80)
            | ~ c3_1(X80) ) )
      | hskp17 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | ~ c0_1(X81)
            | ~ c3_1(X81) ) )
      | hskp3
      | hskp12 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | c3_1(X82)
            | ~ c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | ~ c1_1(X83)
            | ~ c2_1(X83) ) )
      | hskp1 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | c3_1(X84)
            | ~ c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | ~ c1_1(X85)
            | ~ c3_1(X85) ) )
      | hskp3 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c2_1(X86)
            | c3_1(X86)
            | ~ c1_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | ~ c0_1(X87)
            | ~ c3_1(X87) ) )
      | hskp21 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c2_1(X88)
            | c3_1(X88)
            | ~ c1_1(X88) ) )
      | hskp11
      | hskp7 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | ~ c0_1(X89)
            | ~ c1_1(X89) ) )
      | hskp18
      | hskp20 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | ~ c0_1(X90)
            | ~ c1_1(X90) ) )
      | hskp15
      | hskp2 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | ~ c1_1(X91)
            | ~ c3_1(X91) ) )
      | hskp15
      | hskp12 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | ~ c0_1(X92)
            | ~ c2_1(X92) ) )
      | hskp26
      | hskp10 )
    & ( hskp27
      | hskp22
      | hskp17 )
    & ( hskp8
      | hskp15
      | hskp16 )
    & ( hskp25
      | hskp5
      | hskp14 )
    & ( hskp9
      | hskp23
      | hskp20 )
    & ( hskp21
      | hskp10
      | hskp6 )
    & ( hskp5
      | hskp11 )
    & ( hskp24
      | hskp15
      | hskp16 )
    & ( hskp20
      | hskp6
      | hskp12 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a460)
        & ~ c2_1(a460)
        & ~ c3_1(a460) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a463)
        & ~ c0_1(a463)
        & ~ c1_1(a463) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a465)
        & ~ c2_1(a465)
        & ~ c3_1(a465) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a466)
        & c3_1(a466)
        & ~ c0_1(a466) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a467)
        & ~ c0_1(a467)
        & ~ c1_1(a467) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a468)
        & c3_1(a468)
        & ~ c2_1(a468) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a471)
        & ~ c1_1(a471)
        & ~ c3_1(a471) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a474)
        & ~ c1_1(a474)
        & ~ c2_1(a474) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a475)
        & c1_1(a475)
        & ~ c3_1(a475) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a476)
        & c2_1(a476)
        & ~ c1_1(a476) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a477)
        & c2_1(a477)
        & ~ c3_1(a477) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a478)
        & ~ c0_1(a478)
        & ~ c3_1(a478) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a480)
        & ~ c1_1(a480)
        & ~ c2_1(a480) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a483)
        & c2_1(a483)
        & ~ c3_1(a483) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c1_1(a488)
        & ~ c2_1(a488)
        & ~ c3_1(a488) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a492)
        & c3_1(a492)
        & ~ c2_1(a492) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a493)
        & ~ c0_1(a493)
        & ~ c2_1(a493) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a494)
        & ~ c1_1(a494)
        & ~ c3_1(a494) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a500)
        & c2_1(a500)
        & ~ c0_1(a500) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a502)
        & c3_1(a502)
        & ~ c0_1(a502) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a503)
        & c3_1(a503)
        & ~ c1_1(a503) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a512)
        & c3_1(a512)
        & ~ c1_1(a512) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a524)
        & c1_1(a524)
        & ~ c2_1(a524) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a533)
        & ~ c1_1(a533)
        & ~ c3_1(a533) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a540)
        & ~ c1_1(a540)
        & ~ c2_1(a540) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a461)
        & c2_1(a461)
        & c3_1(a461) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a470)
        & c2_1(a470)
        & c3_1(a470) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a473)
        & c1_1(a473)
        & c3_1(a473) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a490)
        & c1_1(a490)
        & c2_1(a490) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | ~ c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | c3_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | ~ c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp6
      | hskp2 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | c3_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | ~ c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp0
      | hskp12 )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp27
      | hskp10 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c2_1(X63)
          | ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp7
      | hskp12 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c3_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp18
      | hskp2 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp12
      | hskp14 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp3
      | hskp12 )
    & ( ! [X82] :
          ( c2_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X84] :
          ( c2_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | hskp11
      | hskp7 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp18
      | hskp20 )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp15
      | hskp2 )
    & ( ! [X91] :
          ( c2_1(X91)
          | ~ c1_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp15
      | hskp12 )
    & ( ! [X92] :
          ( c3_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp26
      | hskp10 )
    & ( hskp27
      | hskp22
      | hskp17 )
    & ( hskp8
      | hskp15
      | hskp16 )
    & ( hskp25
      | hskp5
      | hskp14 )
    & ( hskp9
      | hskp23
      | hskp20 )
    & ( hskp21
      | hskp10
      | hskp6 )
    & ( hskp5
      | hskp11 )
    & ( hskp24
      | hskp15
      | hskp16 )
    & ( hskp20
      | hskp6
      | hskp12 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a460)
        & ~ c2_1(a460)
        & ~ c3_1(a460) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a463)
        & ~ c0_1(a463)
        & ~ c1_1(a463) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a465)
        & ~ c2_1(a465)
        & ~ c3_1(a465) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a466)
        & c3_1(a466)
        & ~ c0_1(a466) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c3_1(a467)
        & ~ c0_1(a467)
        & ~ c1_1(a467) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a468)
        & c3_1(a468)
        & ~ c2_1(a468) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a471)
        & ~ c1_1(a471)
        & ~ c3_1(a471) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c3_1(a474)
        & ~ c1_1(a474)
        & ~ c2_1(a474) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a475)
        & c1_1(a475)
        & ~ c3_1(a475) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a476)
        & c2_1(a476)
        & ~ c1_1(a476) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a477)
        & c2_1(a477)
        & ~ c3_1(a477) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a478)
        & ~ c0_1(a478)
        & ~ c3_1(a478) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a480)
        & ~ c1_1(a480)
        & ~ c2_1(a480) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a483)
        & c2_1(a483)
        & ~ c3_1(a483) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c1_1(a488)
        & ~ c2_1(a488)
        & ~ c3_1(a488) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a492)
        & c3_1(a492)
        & ~ c2_1(a492) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a493)
        & ~ c0_1(a493)
        & ~ c2_1(a493) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a494)
        & ~ c1_1(a494)
        & ~ c3_1(a494) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a500)
        & c2_1(a500)
        & ~ c0_1(a500) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a502)
        & c3_1(a502)
        & ~ c0_1(a502) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c2_1(a503)
        & c3_1(a503)
        & ~ c1_1(a503) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a512)
        & c3_1(a512)
        & ~ c1_1(a512) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a524)
        & c1_1(a524)
        & ~ c2_1(a524) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a533)
        & ~ c1_1(a533)
        & ~ c3_1(a533) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c0_1(a540)
        & ~ c1_1(a540)
        & ~ c2_1(a540) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a461)
        & c2_1(a461)
        & c3_1(a461) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a470)
        & c2_1(a470)
        & c3_1(a470) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a473)
        & c1_1(a473)
        & c3_1(a473) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a490)
        & c1_1(a490)
        & c2_1(a490) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c0_1(X3)
          | ~ c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c2_1(X4)
          | c3_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c1_1(X6)
          | c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( c3_1(X9)
          | ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 ) )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp0
      | hskp1 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c2_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | ~ c1_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c1_1(X18)
          | c2_1(X18)
          | c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c3_1(X19)
          | ~ c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | ~ c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp6
      | hskp2 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | c2_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | c3_1(X32)
          | ~ c0_1(X32)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c0_1(X35)
          | ~ c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c1_1(X37)
          | ~ c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c0_1(X39)
          | ~ c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp0
      | hskp12 )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c3_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp27
      | hskp10 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X54] :
          ( c0_1(X54)
          | ~ c1_1(X54)
          | ~ c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c0_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c2_1(X63)
          | ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | hskp3
      | hskp15 )
    & ( ! [X69] :
          ( c1_1(X69)
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp16
      | hskp17 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp7
      | hskp12 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X73] :
          ( c1_1(X73)
          | c3_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c3_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp18
      | hskp2 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c3_1(X75)
          | ~ c2_1(X75)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c3_1(X76)
          | ~ c2_1(X76)
          | ~ ndr1_0 )
      | hskp12
      | hskp14 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp3
      | hskp12 )
    & ( ! [X82] :
          ( c2_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X84] :
          ( c2_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X86] :
          ( c2_1(X86)
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X88] :
          ( c2_1(X88)
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ ndr1_0 )
      | hskp11
      | hskp7 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp18
      | hskp20 )
    & ( ! [X90] :
          ( c2_1(X90)
          | ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 )
      | hskp15
      | hskp2 )
    & ( ! [X91] :
          ( c2_1(X91)
          | ~ c1_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp15
      | hskp12 )
    & ( ! [X92] :
          ( c3_1(X92)
          | ~ c0_1(X92)
          | ~ c2_1(X92)
          | ~ ndr1_0 )
      | hskp26
      | hskp10 )
    & ( hskp27
      | hskp22
      | hskp17 )
    & ( hskp8
      | hskp15
      | hskp16 )
    & ( hskp25
      | hskp5
      | hskp14 )
    & ( hskp9
      | hskp23
      | hskp20 )
    & ( hskp21
      | hskp10
      | hskp6 )
    & ( hskp5
      | hskp11 )
    & ( hskp24
      | hskp15
      | hskp16 )
    & ( hskp20
      | hskp6
      | hskp12 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp20
    | hskp6
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp24
    | hskp15
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp9
    | hskp23
    | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X88] :
      ( c2_1(X88)
      | c3_1(X88)
      | ~ c1_1(X88)
      | ~ ndr1_0
      | hskp11
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X84,X85] :
      ( c2_1(X84)
      | c3_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X81] :
      ( c1_1(X81)
      | ~ c0_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | hskp3
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X76] :
      ( c1_1(X76)
      | c3_1(X76)
      | ~ c2_1(X76)
      | ~ ndr1_0
      | hskp12
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | c3_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X69] :
      ( c1_1(X69)
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ ndr1_0
      | hskp16
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X68] :
      ( c1_1(X68)
      | c2_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | hskp3
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X58,X59,X60] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | c2_1(X59)
      | c3_1(X59)
      | ~ ndr1_0
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X56,X57] :
      ( c0_1(X56)
      | ~ c1_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | ~ c2_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X44] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | hskp0
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c0_1(X39)
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c0_1(X34)
      | ~ c1_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | c0_1(X35)
      | ~ c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | c3_1(X32)
      | ~ c0_1(X32)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X28] :
      ( c0_1(X28)
      | c1_1(X28)
      | ~ c2_1(X28)
      | ~ ndr1_0
      | hskp6
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c2_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X10] :
      ( c0_1(X10)
      | c1_1(X10)
      | c2_1(X10)
      | ~ ndr1_0
      | hskp0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X8,X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ c3_1(X8)
      | ~ ndr1_0
      | c3_1(X9)
      | ~ c0_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | c3_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X2,X3,X4] :
      ( c0_1(X2)
      | c1_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | c0_1(X3)
      | ~ c1_1(X3)
      | ~ c3_1(X3)
      | ~ ndr1_0
      | c2_1(X4)
      | c3_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp26
    | c3_1(a470) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp26
    | c2_1(a470) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp26
    | c1_1(a470) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp25
    | c3_1(a461) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp25
    | c2_1(a461) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp25
    | c0_1(a461) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp24
    | ~ c2_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp24
    | ~ c1_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp24
    | c0_1(a540) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp23
    | ~ c3_1(a533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp23
    | ~ c1_1(a533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp23
    | c0_1(a533) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp20
    | ~ c1_1(a503) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp20
    | c3_1(a503) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp20
    | c2_1(a503) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ hskp20
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp17
    | ~ c3_1(a494) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp17
    | ~ c1_1(a494) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp17
    | ~ c0_1(a494) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp16
    | ~ c2_1(a493) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp16
    | ~ c0_1(a493) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp16
    | c1_1(a493) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp15
    | ~ c2_1(a492) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp15
    | c3_1(a492) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp15
    | c1_1(a492) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp14
    | ~ c3_1(a488) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp14
    | ~ c2_1(a488) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp14
    | ~ c1_1(a488) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp12
    | ~ c2_1(a480) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp12
    | ~ c1_1(a480) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp12
    | ~ c0_1(a480) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp11
    | ~ c3_1(a478) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp11
    | ~ c0_1(a478) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp11
    | c2_1(a478) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp9
    | ~ c1_1(a476) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp9
    | c2_1(a476) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp9
    | c0_1(a476) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp7
    | ~ c2_1(a474) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp7
    | ~ c1_1(a474) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp7
    | c3_1(a474) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp6
    | ~ c3_1(a471) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp6
    | ~ c1_1(a471) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp6
    | c2_1(a471) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp3
    | ~ c0_1(a466) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp3
    | c3_1(a466) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp3
    | c1_1(a466) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp2
    | ~ c3_1(a465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp2
    | ~ c2_1(a465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp2
    | ~ c0_1(a465) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp1
    | ~ c1_1(a463) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp1
    | ~ c0_1(a463) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp1
    | c2_1(a463) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp0
    | ~ c3_1(a460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp0
    | ~ c2_1(a460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp0
    | c0_1(a460) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ! [X84,X85] :
      ( c2_1(X84)
      | c3_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ c3_1(X85)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f185,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f187,plain,
    ! [X72,X71] :
      ( c1_1(X71)
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ ndr1_0
      | c2_1(X72)
      | c3_1(X72)
      | ~ c0_1(X72)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f191,plain,
    ! [X58,X59,X60] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | c2_1(X59)
      | c3_1(X59)
      | ~ c0_1(X60)
      | ~ c1_1(X60)
      | ~ c3_1(X60) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f192,plain,
    ! [X56,X57] :
      ( c0_1(X56)
      | ~ c1_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X57)
      | ~ c2_1(X57)
      | ~ c3_1(X57)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f200,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | c0_1(X39)
      | ~ c2_1(X39)
      | ~ c3_1(X39)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f202,plain,
    ! [X34,X35,X33] :
      ( c0_1(X33)
      | c2_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | c0_1(X34)
      | ~ c1_1(X34)
      | ~ c3_1(X34)
      | c0_1(X35)
      | ~ c2_1(X35)
      | ~ c3_1(X35) ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f203,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | c3_1(X32)
      | ~ c0_1(X32)
      | hskp7 ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f205,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c1_1(X26)
      | ~ c2_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c2_1(X27)
      | ~ c3_1(X27)
      | hskp26 ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f212,plain,
    ! [X11,X12] :
      ( c0_1(X11)
      | c1_1(X11)
      | c3_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c2_1(X12)
      | c3_1(X12)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f213,plain,
    ! [X8,X9,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ c3_1(X8)
      | c3_1(X9)
      | ~ c0_1(X9)
      | ~ c2_1(X9) ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f214,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | c1_1(X6)
      | c3_1(X6)
      | ~ c0_1(X6)
      | hskp25 ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f215,plain,
    ! [X2,X3,X4] :
      ( c0_1(X2)
      | c1_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | c0_1(X3)
      | ~ c1_1(X3)
      | ~ c3_1(X3)
      | c2_1(X4)
      | c3_1(X4)
      | ~ c0_1(X4) ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f218,definition,
    ( spl0_1
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f221,definition,
    ( spl0_2
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f224,definition,
    ( spl0_3
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f226,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f224,f221,f218]) ).

fof(f228,definition,
    ( spl0_4
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f231,definition,
    ( spl0_5
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f234,definition,
    ( spl0_6
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f236,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f234,f231,f228]) ).

fof(f238,definition,
    ( spl0_7
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f252,definition,
    ( spl0_11
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f255,definition,
    ( spl0_12
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f257,plain,
    ( spl0_3
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f10,f255,f252,f224]) ).

fof(f259,definition,
    ( spl0_13
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f262,definition,
    ( spl0_14
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f270,definition,
    ( spl0_16
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f280,definition,
    ( spl0_19
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f283,definition,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f286,definition,
    ( spl0_21
  <=> ! [X92] :
        ( c3_1(X92)
        | ~ c2_1(X92)
        | ~ c0_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f287,plain,
    ( ! [X92] :
        ( c3_1(X92)
        | ~ c2_1(X92)
        | ~ c0_1(X92) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f294,definition,
    ( spl0_23
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f305,definition,
    ( spl0_26
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f308,definition,
    ( spl0_27
  <=> ! [X88] :
        ( c2_1(X88)
        | ~ c1_1(X88)
        | c3_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f309,plain,
    ( ! [X88] :
        ( c3_1(X88)
        | ~ c1_1(X88)
        | c2_1(X88) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f310,plain,
    ( spl0_26
    | spl0_7
    | ~ spl0_20
    | spl0_27 ),
    inference(avatar_split_clause,[],[f18,f308,f283,f238,f305]) ).

fof(f316,definition,
    ( spl0_29
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f319,definition,
    ( spl0_30
  <=> ! [X85] :
        ( ~ c0_1(X85)
        | ~ c3_1(X85)
        | ~ c1_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f320,plain,
    ( ! [X85] :
        ( ~ c3_1(X85)
        | ~ c0_1(X85)
        | ~ c1_1(X85) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f322,definition,
    ( spl0_31
  <=> ! [X84] :
        ( c2_1(X84)
        | ~ c0_1(X84)
        | c3_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f323,plain,
    ( ! [X84] :
        ( c3_1(X84)
        | ~ c0_1(X84)
        | c2_1(X84) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f324,plain,
    ( spl0_29
    | spl0_30
    | ~ spl0_20
    | spl0_31 ),
    inference(avatar_split_clause,[],[f183,f322,f283,f319,f316]) ).

fof(f326,definition,
    ( spl0_32
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f329,definition,
    ( spl0_33
  <=> ! [X83] :
        ( ~ c0_1(X83)
        | ~ c2_1(X83)
        | ~ c1_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f330,plain,
    ( ! [X83] :
        ( ~ c1_1(X83)
        | ~ c2_1(X83)
        | ~ c0_1(X83) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f333,definition,
    ( spl0_34
  <=> ! [X81] :
        ( c1_1(X81)
        | ~ c3_1(X81)
        | ~ c0_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f334,plain,
    ( ! [X81] :
        ( ~ c3_1(X81)
        | c1_1(X81)
        | ~ c0_1(X81) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f335,plain,
    ( spl0_1
    | spl0_29
    | ~ spl0_20
    | spl0_34 ),
    inference(avatar_split_clause,[],[f22,f333,f283,f316,f218]) ).

fof(f337,definition,
    ( spl0_35
  <=> ! [X80] :
        ( ~ c0_1(X80)
        | ~ c3_1(X80)
        | ~ c2_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f338,plain,
    ( ! [X80] :
        ( ~ c3_1(X80)
        | ~ c0_1(X80)
        | ~ c2_1(X80) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f340,definition,
    ( spl0_36
  <=> ! [X79] :
        ( c1_1(X79)
        | ~ c2_1(X79)
        | ~ c0_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f341,plain,
    ( ! [X79] :
        ( c1_1(X79)
        | ~ c2_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f342,plain,
    ( spl0_16
    | spl0_35
    | ~ spl0_20
    | spl0_36 ),
    inference(avatar_split_clause,[],[f185,f340,f283,f337,f270]) ).

fof(f345,definition,
    ( spl0_37
  <=> ! [X76] :
        ( c1_1(X76)
        | ~ c2_1(X76)
        | c3_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X76] :
        ( c3_1(X76)
        | ~ c2_1(X76)
        | c1_1(X76) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f347,plain,
    ( spl0_13
    | spl0_1
    | ~ spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f25,f345,f283,f218,f259]) ).

fof(f353,definition,
    ( spl0_39
  <=> ! [X74] :
        ( c1_1(X74)
        | ~ c0_1(X74)
        | c3_1(X74) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f354,plain,
    ( ! [X74] :
        ( c3_1(X74)
        | ~ c0_1(X74)
        | c1_1(X74) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f357,plain,
    ( spl0_1
    | spl0_31
    | ~ spl0_20
    | spl0_39 ),
    inference(avatar_split_clause,[],[f187,f353,f283,f322,f218]) ).

fof(f363,definition,
    ( spl0_41
  <=> ! [X69] :
        ( c1_1(X69)
        | ~ c0_1(X69)
        | c2_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f364,plain,
    ( ! [X69] :
        ( c1_1(X69)
        | ~ c0_1(X69)
        | c2_1(X69) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f365,plain,
    ( spl0_16
    | spl0_4
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f31,f363,f283,f228,f270]) ).

fof(f367,definition,
    ( spl0_42
  <=> ! [X68] :
        ( c1_1(X68)
        | c3_1(X68)
        | c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X68] :
        ( c3_1(X68)
        | c1_1(X68)
        | c2_1(X68) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( spl0_5
    | spl0_29
    | ~ spl0_20
    | spl0_42 ),
    inference(avatar_split_clause,[],[f32,f367,f283,f316,f231]) ).

fof(f375,definition,
    ( spl0_44
  <=> ! [X64] :
        ( c0_1(X64)
        | ~ c3_1(X64)
        | ~ c2_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X64] :
        ( ~ c3_1(X64)
        | c0_1(X64)
        | ~ c2_1(X64) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f379,plain,
    ( spl0_30
    | spl0_42
    | ~ spl0_20
    | spl0_44 ),
    inference(avatar_split_clause,[],[f191,f375,f283,f367,f319]) ).

fof(f381,definition,
    ( spl0_45
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c3_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f382,plain,
    ( ! [X56] :
        ( ~ c3_1(X56)
        | c0_1(X56)
        | ~ c1_1(X56) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f383,plain,
    ( spl0_13
    | spl0_35
    | ~ spl0_20
    | spl0_45 ),
    inference(avatar_split_clause,[],[f192,f381,f283,f337,f259]) ).

fof(f397,definition,
    ( spl0_48
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f400,definition,
    ( spl0_49
  <=> ! [X44] :
        ( c0_1(X44)
        | ~ c2_1(X44)
        | c3_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f401,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | ~ c2_1(X44)
        | c0_1(X44) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f402,plain,
    ( spl0_1
    | spl0_48
    | ~ spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f44,f400,f283,f397,f218]) ).

fof(f408,definition,
    ( spl0_51
  <=> ! [X40] :
        ( c0_1(X40)
        | ~ c3_1(X40)
        | c2_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f409,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | c0_1(X40)
        | c2_1(X40) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f411,plain,
    ( spl0_12
    | spl0_44
    | ~ spl0_20
    | spl0_51 ),
    inference(avatar_split_clause,[],[f200,f408,f283,f375,f255]) ).

fof(f413,definition,
    ( spl0_52
  <=> ! [X37] :
        ( c1_1(X37)
        | ~ c3_1(X37)
        | ~ c2_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f414,plain,
    ( ! [X37] :
        ( ~ c3_1(X37)
        | c1_1(X37)
        | ~ c2_1(X37) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f416,definition,
    ( spl0_53
  <=> ! [X36] :
        ( c0_1(X36)
        | ~ c1_1(X36)
        | c2_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f417,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | c0_1(X36)
        | c2_1(X36) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f419,plain,
    ( spl0_44
    | spl0_45
    | ~ spl0_20
    | spl0_53 ),
    inference(avatar_split_clause,[],[f202,f416,f283,f381,f375]) ).

fof(f421,definition,
    ( spl0_54
  <=> ! [X31] :
        ( c0_1(X31)
        | c3_1(X31)
        | c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X31] :
        ( c3_1(X31)
        | c0_1(X31)
        | c2_1(X31) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( spl0_26
    | spl0_31
    | ~ spl0_20
    | spl0_54 ),
    inference(avatar_split_clause,[],[f203,f421,f283,f322,f305]) ).

fof(f426,definition,
    ( spl0_55
  <=> ! [X28] :
        ( c0_1(X28)
        | ~ c2_1(X28)
        | c1_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f427,plain,
    ( ! [X28] :
        ( c1_1(X28)
        | ~ c2_1(X28)
        | c0_1(X28) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f428,plain,
    ( spl0_23
    | spl0_2
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f52,f426,f283,f221,f294]) ).

fof(f429,plain,
    ( spl0_19
    | spl0_35
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f205,f426,f283,f337,f280]) ).

fof(f437,definition,
    ( spl0_58
  <=> ! [X24] :
        ( c0_1(X24)
        | c3_1(X24)
        | c1_1(X24) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X24] :
        ( c3_1(X24)
        | c0_1(X24)
        | c1_1(X24) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f448,plain,
    ( spl0_48
    | spl0_54
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f212,f437,f283,f421,f397]) ).

fof(f450,definition,
    ( spl0_60
  <=> ! [X10] :
        ( c0_1(X10)
        | c2_1(X10)
        | c1_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f451,plain,
    ( ! [X10] :
        ( c1_1(X10)
        | c2_1(X10)
        | c0_1(X10) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f452,plain,
    ( spl0_32
    | spl0_48
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f61,f450,f283,f397,f326]) ).

fof(f453,plain,
    ( spl0_21
    | spl0_52
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f213,f450,f283,f413,f286]) ).

fof(f454,plain,
    ( spl0_14
    | spl0_39
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f214,f450,f283,f353,f262]) ).

fof(f455,plain,
    ( spl0_31
    | spl0_45
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f215,f450,f283,f381,f322]) ).

fof(f456,plain,
    ( spl0_48
    | spl0_55
    | ~ spl0_20
    | spl0_60 ),
    inference(avatar_split_clause,[],[f216,f450,f283,f426,f397]) ).

fof(f487,definition,
    ( spl0_67
  <=> c3_1(a470) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f488,plain,
    ( c3_1(a470)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f490,plain,
    ( spl0_67
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f74,f280,f487]) ).

fof(f492,definition,
    ( spl0_68
  <=> c2_1(a470) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f494,plain,
    ( spl0_68
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f75,f280,f492]) ).

fof(f496,definition,
    ( spl0_69
  <=> c1_1(a470) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f497,plain,
    ( c1_1(a470)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f498,plain,
    ( spl0_69
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f76,f280,f496]) ).

fof(f501,definition,
    ( spl0_70
  <=> c3_1(a461) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f502,plain,
    ( c3_1(a461)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f504,plain,
    ( spl0_70
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f78,f262,f501]) ).

fof(f506,definition,
    ( spl0_71
  <=> c2_1(a461) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f508,plain,
    ( spl0_71
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f79,f262,f506]) ).

fof(f510,definition,
    ( spl0_72
  <=> c0_1(a461) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f512,plain,
    ( spl0_72
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f80,f262,f510]) ).

fof(f515,definition,
    ( spl0_73
  <=> c2_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f518,plain,
    ( ~ spl0_73
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f82,f234,f515]) ).

fof(f520,definition,
    ( spl0_74
  <=> c1_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f521,plain,
    ( ~ c1_1(a540)
    | spl0_74 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f522,plain,
    ( ~ spl0_74
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f83,f234,f520]) ).

fof(f524,definition,
    ( spl0_75
  <=> c0_1(a540) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f526,plain,
    ( spl0_75
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f84,f234,f524]) ).

fof(f529,definition,
    ( spl0_76
  <=> c3_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f530,plain,
    ( ~ c3_1(a533)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f532,plain,
    ( ~ spl0_76
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f86,f252,f529]) ).

fof(f534,definition,
    ( spl0_77
  <=> c1_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ c1_1(a533)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f536,plain,
    ( ~ spl0_77
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f87,f252,f534]) ).

fof(f538,definition,
    ( spl0_78
  <=> c0_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f540,plain,
    ( spl0_78
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f88,f252,f538]) ).

fof(f571,definition,
    ( spl0_85
  <=> c1_1(a503) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f572,plain,
    ( ~ c1_1(a503)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f574,plain,
    ( ~ spl0_85
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f98,f224,f571]) ).

fof(f576,definition,
    ( spl0_86
  <=> c3_1(a503) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f577,plain,
    ( c3_1(a503)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f578,plain,
    ( spl0_86
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f99,f224,f576]) ).

fof(f580,definition,
    ( spl0_87
  <=> c2_1(a503) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f582,plain,
    ( spl0_87
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f100,f224,f580]) ).

fof(f583,plain,
    ( spl0_20
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f101,f224,f283]) ).

fof(f613,definition,
    ( spl0_94
  <=> c3_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f614,plain,
    ( ~ c3_1(a494)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f616,plain,
    ( ~ spl0_94
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f110,f270,f613]) ).

fof(f618,definition,
    ( spl0_95
  <=> c1_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ c1_1(a494)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f620,plain,
    ( ~ spl0_95
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f111,f270,f618]) ).

fof(f622,definition,
    ( spl0_96
  <=> c0_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f624,plain,
    ( ~ spl0_96
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f112,f270,f622]) ).

fof(f627,definition,
    ( spl0_97
  <=> c2_1(a493) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f630,plain,
    ( ~ spl0_97
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f114,f228,f627]) ).

fof(f632,definition,
    ( spl0_98
  <=> c0_1(a493) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f634,plain,
    ( ~ spl0_98
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f115,f228,f632]) ).

fof(f636,definition,
    ( spl0_99
  <=> c1_1(a493) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f637,plain,
    ( c1_1(a493)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f638,plain,
    ( spl0_99
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f116,f228,f636]) ).

fof(f641,definition,
    ( spl0_100
  <=> c2_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f644,plain,
    ( ~ spl0_100
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f118,f231,f641]) ).

fof(f646,definition,
    ( spl0_101
  <=> c3_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f647,plain,
    ( c3_1(a492)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f648,plain,
    ( spl0_101
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f119,f231,f646]) ).

fof(f650,definition,
    ( spl0_102
  <=> c1_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f651,plain,
    ( c1_1(a492)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f652,plain,
    ( spl0_102
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f120,f231,f650]) ).

fof(f655,definition,
    ( spl0_103
  <=> c3_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f656,plain,
    ( ~ c3_1(a488)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f655]) ).

fof(f658,plain,
    ( ~ spl0_103
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f122,f259,f655]) ).

fof(f660,definition,
    ( spl0_104
  <=> c2_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f662,plain,
    ( ~ spl0_104
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f123,f259,f660]) ).

fof(f664,definition,
    ( spl0_105
  <=> c1_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f665,plain,
    ( ~ c1_1(a488)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f666,plain,
    ( ~ spl0_105
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f124,f259,f664]) ).

fof(f683,definition,
    ( spl0_109
  <=> c2_1(a480) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f686,plain,
    ( ~ spl0_109
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f130,f218,f683]) ).

fof(f688,definition,
    ( spl0_110
  <=> c1_1(a480) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f689,plain,
    ( ~ c1_1(a480)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f690,plain,
    ( ~ spl0_110
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f131,f218,f688]) ).

fof(f692,definition,
    ( spl0_111
  <=> c0_1(a480) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f694,plain,
    ( ~ spl0_111
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f132,f218,f692]) ).

fof(f695,plain,
    ( spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f133,f218,f283]) ).

fof(f697,definition,
    ( spl0_112
  <=> c3_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f698,plain,
    ( ~ c3_1(a478)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f700,plain,
    ( ~ spl0_112
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f134,f238,f697]) ).

fof(f702,definition,
    ( spl0_113
  <=> c0_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f704,plain,
    ( ~ spl0_113
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f135,f238,f702]) ).

fof(f706,definition,
    ( spl0_114
  <=> c2_1(a478) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f708,plain,
    ( spl0_114
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f136,f238,f706]) ).

fof(f725,definition,
    ( spl0_118
  <=> c1_1(a476) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f726,plain,
    ( ~ c1_1(a476)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f728,plain,
    ( ~ spl0_118
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f142,f255,f725]) ).

fof(f730,definition,
    ( spl0_119
  <=> c2_1(a476) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f732,plain,
    ( spl0_119
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f143,f255,f730]) ).

fof(f734,definition,
    ( spl0_120
  <=> c0_1(a476) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f736,plain,
    ( spl0_120
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f144,f255,f734]) ).

fof(f753,definition,
    ( spl0_124
  <=> c2_1(a474) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f756,plain,
    ( ~ spl0_124
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f150,f305,f753]) ).

fof(f758,definition,
    ( spl0_125
  <=> c1_1(a474) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f759,plain,
    ( ~ c1_1(a474)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f760,plain,
    ( ~ spl0_125
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f151,f305,f758]) ).

fof(f762,definition,
    ( spl0_126
  <=> c3_1(a474) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f763,plain,
    ( c3_1(a474)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f764,plain,
    ( spl0_126
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f152,f305,f762]) ).

fof(f767,definition,
    ( spl0_127
  <=> c3_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f768,plain,
    ( ~ c3_1(a471)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f770,plain,
    ( ~ spl0_127
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f154,f221,f767]) ).

fof(f772,definition,
    ( spl0_128
  <=> c1_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f774,plain,
    ( ~ spl0_128
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f155,f221,f772]) ).

fof(f776,definition,
    ( spl0_129
  <=> c2_1(a471) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f778,plain,
    ( spl0_129
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f156,f221,f776]) ).

fof(f779,plain,
    ( spl0_20
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f157,f221,f283]) ).

fof(f809,definition,
    ( spl0_136
  <=> c0_1(a466) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f812,plain,
    ( ~ spl0_136
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f166,f316,f809]) ).

fof(f814,definition,
    ( spl0_137
  <=> c3_1(a466) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f815,plain,
    ( c3_1(a466)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f814]) ).

fof(f816,plain,
    ( spl0_137
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f167,f316,f814]) ).

fof(f818,definition,
    ( spl0_138
  <=> c1_1(a466) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f820,plain,
    ( spl0_138
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f168,f316,f818]) ).

fof(f823,definition,
    ( spl0_139
  <=> c3_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f824,plain,
    ( ~ c3_1(a465)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    ( ~ spl0_139
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f170,f294,f823]) ).

fof(f828,definition,
    ( spl0_140
  <=> c2_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f830,plain,
    ( ~ spl0_140
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f171,f294,f828]) ).

fof(f832,definition,
    ( spl0_141
  <=> c0_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f834,plain,
    ( ~ spl0_141
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f172,f294,f832]) ).

fof(f837,definition,
    ( spl0_142
  <=> c1_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f838,plain,
    ( ~ c1_1(a463)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f840,plain,
    ( ~ spl0_142
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f174,f326,f837]) ).

fof(f842,definition,
    ( spl0_143
  <=> c0_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f844,plain,
    ( ~ spl0_143
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f175,f326,f842]) ).

fof(f846,definition,
    ( spl0_144
  <=> c2_1(a463) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f848,plain,
    ( spl0_144
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f176,f326,f846]) ).

fof(f851,definition,
    ( spl0_145
  <=> c3_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f852,plain,
    ( ~ c3_1(a460)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f854,plain,
    ( ~ spl0_145
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f178,f397,f851]) ).

fof(f856,definition,
    ( spl0_146
  <=> c2_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f858,plain,
    ( ~ spl0_146
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f179,f397,f856]) ).

fof(f860,definition,
    ( spl0_147
  <=> c0_1(a460) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f862,plain,
    ( spl0_147
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f180,f397,f860]) ).

fof(f874,plain,
    ( ~ c0_1(a488)
    | c2_1(a488)
    | ~ spl0_31
    | spl0_103 ),
    inference(resolution,[],[f323,f656]) ).

fof(f879,definition,
    ( spl0_148
  <=> c0_1(a488) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f885,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(resolution,[],[f320,f287]) ).

fof(f886,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f885]) ).

fof(f887,plain,
    ( spl0_33
    | ~ spl0_21
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f886,f319,f286,f329]) ).

fof(f890,plain,
    ( c1_1(a503)
    | ~ c0_1(a503)
    | ~ spl0_34
    | ~ spl0_86 ),
    inference(resolution,[],[f334,f577]) ).

fof(f895,definition,
    ( spl0_149
  <=> c0_1(a503) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f898,plain,
    ( ~ spl0_149
    | spl0_85
    | ~ spl0_34
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f890,f576,f333,f571,f895]) ).

fof(f913,plain,
    ( spl0_104
    | ~ spl0_148
    | ~ spl0_31
    | spl0_103 ),
    inference(avatar_split_clause,[],[f874,f655,f322,f879,f660]) ).

fof(f973,definition,
    ( spl0_154
  <=> c0_1(a470) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f985,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_34
    | ~ spl0_39 ),
    inference(resolution,[],[f354,f334]) ).

fof(f990,plain,
    ( ~ c0_1(a488)
    | c1_1(a488)
    | ~ spl0_39
    | spl0_103 ),
    inference(resolution,[],[f354,f656]) ).

fof(f992,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_34
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f985]) ).

fof(f1002,plain,
    ( ~ c1_1(a465)
    | c2_1(a465)
    | ~ spl0_27
    | spl0_139 ),
    inference(resolution,[],[f309,f824]) ).

fof(f1010,definition,
    ( spl0_155
  <=> c1_1(a465) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1012,plain,
    ( spl0_140
    | ~ spl0_155
    | ~ spl0_27
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1002,f823,f308,f1010,f828]) ).

fof(f1045,plain,
    ( c1_1(a465)
    | c2_1(a465)
    | ~ spl0_42
    | spl0_139 ),
    inference(resolution,[],[f368,f824]) ).

fof(f1048,plain,
    ( c1_1(a488)
    | c2_1(a488)
    | ~ spl0_42
    | spl0_103 ),
    inference(resolution,[],[f368,f656]) ).

fof(f1054,definition,
    ( spl0_156
  <=> c2_1(a494) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1059,plain,
    ( spl0_104
    | spl0_105
    | ~ spl0_42
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1048,f655,f367,f664,f660]) ).

fof(f1060,plain,
    ( c1_1(a465)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1095,plain,
    ( ~ c2_1(a471)
    | c1_1(a471)
    | ~ spl0_37
    | spl0_127 ),
    inference(resolution,[],[f346,f768]) ).

fof(f1105,plain,
    ( spl0_128
    | ~ spl0_129
    | ~ spl0_37
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1095,f767,f345,f776,f772]) ).

fof(f1118,plain,
    ( c0_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_44
    | ~ spl0_86 ),
    inference(resolution,[],[f376,f577]) ).

fof(f1144,plain,
    ( ~ c0_1(a476)
    | ~ spl0_34
    | ~ spl0_39
    | spl0_118 ),
    inference(resolution,[],[f726,f992]) ).

fof(f1151,plain,
    ( ~ spl0_120
    | ~ spl0_34
    | ~ spl0_39
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1144,f725,f353,f333,f734]) ).

fof(f1152,plain,
    ( c1_1(a533)
    | c2_1(a533)
    | ~ spl0_42
    | spl0_76 ),
    inference(resolution,[],[f530,f368]) ).

fof(f1159,definition,
    ( spl0_161
  <=> c2_1(a533) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1166,plain,
    ( spl0_161
    | spl0_77
    | ~ spl0_42
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1152,f529,f367,f534,f1159]) ).

fof(f1183,plain,
    ( c1_1(a494)
    | c2_1(a494)
    | ~ spl0_42
    | spl0_94 ),
    inference(resolution,[],[f614,f368]) ).

fof(f1189,plain,
    ( ~ c2_1(a476)
    | ~ c0_1(a476)
    | ~ spl0_36
    | spl0_118 ),
    inference(resolution,[],[f341,f726]) ).

fof(f1192,plain,
    ( ~ c2_1(a503)
    | ~ c0_1(a503)
    | ~ spl0_36
    | spl0_85 ),
    inference(resolution,[],[f341,f572]) ).

fof(f1194,plain,
    ( ~ c2_1(a533)
    | ~ c0_1(a533)
    | ~ spl0_36
    | spl0_77 ),
    inference(resolution,[],[f341,f535]) ).

fof(f1205,plain,
    ( ~ c2_1(a494)
    | c1_1(a494)
    | ~ spl0_37
    | spl0_94 ),
    inference(resolution,[],[f346,f614]) ).

fof(f1210,plain,
    ( spl0_95
    | ~ spl0_156
    | ~ spl0_37
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1205,f613,f345,f1054,f618]) ).

fof(f1215,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_45 ),
    inference(resolution,[],[f382,f309]) ).

fof(f1221,plain,
    ( c0_1(a470)
    | ~ c1_1(a470)
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(resolution,[],[f382,f488]) ).

fof(f1223,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1215]) ).

fof(f1226,plain,
    ( spl0_53
    | ~ spl0_27
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1223,f381,f308,f416]) ).

fof(f1260,plain,
    ( ~ c2_1(a478)
    | c0_1(a478)
    | ~ spl0_49
    | spl0_112 ),
    inference(resolution,[],[f401,f698]) ).

fof(f1263,plain,
    ( spl0_113
    | ~ spl0_114
    | ~ spl0_49
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1260,f697,f400,f706,f702]) ).

fof(f1270,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_42
    | ~ spl0_51 ),
    inference(resolution,[],[f409,f368]) ).

fof(f1281,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_42
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1270]) ).

fof(f1285,plain,
    ( spl0_60
    | ~ spl0_42
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1281,f408,f367,f450]) ).

fof(f1292,plain,
    ( c1_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_52
    | ~ spl0_86 ),
    inference(resolution,[],[f414,f577]) ).

fof(f1301,plain,
    ( ~ spl0_87
    | spl0_85
    | ~ spl0_52
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1292,f576,f413,f571,f580]) ).

fof(f1306,plain,
    ( c0_1(a465)
    | c2_1(a465)
    | ~ spl0_53
    | ~ spl0_155 ),
    inference(resolution,[],[f417,f1060]) ).

fof(f1310,plain,
    ( c0_1(a493)
    | c2_1(a493)
    | ~ spl0_53
    | ~ spl0_99 ),
    inference(resolution,[],[f417,f637]) ).

fof(f1323,plain,
    ( c0_1(a492)
    | ~ c1_1(a492)
    | ~ spl0_45
    | ~ spl0_101 ),
    inference(resolution,[],[f647,f382]) ).

fof(f1330,definition,
    ( spl0_162
  <=> c0_1(a492) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1336,plain,
    ( c0_1(a492)
    | c2_1(a492)
    | ~ spl0_53
    | ~ spl0_102 ),
    inference(resolution,[],[f651,f417]) ).

fof(f1337,plain,
    ( spl0_100
    | spl0_162
    | ~ spl0_53
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1336,f650,f416,f1330,f641]) ).

fof(f1374,plain,
    ( ~ c2_1(a470)
    | ~ c0_1(a470)
    | ~ spl0_33
    | ~ spl0_69 ),
    inference(resolution,[],[f330,f497]) ).

fof(f1385,definition,
    ( spl0_164
  <=> c0_1(a474) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1388,plain,
    ( c0_1(a474)
    | c2_1(a474)
    | ~ spl0_51
    | ~ spl0_126 ),
    inference(resolution,[],[f763,f409]) ).

fof(f1389,plain,
    ( c1_1(a474)
    | ~ c0_1(a474)
    | ~ spl0_34
    | ~ spl0_126 ),
    inference(resolution,[],[f763,f334]) ).

fof(f1391,plain,
    ( ~ spl0_164
    | spl0_125
    | ~ spl0_34
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1389,f762,f333,f758,f1385]) ).

fof(f1395,plain,
    ( ~ spl0_102
    | spl0_162
    | ~ spl0_45
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1323,f646,f381,f1330,f650]) ).

fof(f1398,plain,
    ( ~ spl0_69
    | spl0_154
    | ~ spl0_45
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1221,f487,f381,f973,f496]) ).

fof(f1411,plain,
    ( ~ c0_1(a492)
    | ~ c1_1(a492)
    | ~ spl0_30
    | ~ spl0_101 ),
    inference(resolution,[],[f320,f647]) ).

fof(f1416,plain,
    ( ~ c0_1(a470)
    | ~ c1_1(a470)
    | ~ spl0_30
    | ~ spl0_67 ),
    inference(resolution,[],[f320,f488]) ).

fof(f1421,plain,
    ( ~ spl0_69
    | ~ spl0_154
    | ~ spl0_30
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1416,f487,f319,f973,f496]) ).

fof(f1423,plain,
    ( ~ spl0_102
    | ~ spl0_162
    | ~ spl0_30
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1411,f646,f319,f1330,f650]) ).

fof(f1432,plain,
    ( ~ c0_1(a540)
    | c2_1(a540)
    | ~ spl0_41
    | spl0_74 ),
    inference(resolution,[],[f521,f364]) ).

fof(f1435,plain,
    ( spl0_73
    | ~ spl0_75
    | ~ spl0_41
    | spl0_74 ),
    inference(avatar_split_clause,[],[f1432,f520,f363,f524,f515]) ).

fof(f1494,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_35
    | ~ spl0_39 ),
    inference(resolution,[],[f338,f354]) ).

fof(f1501,plain,
    ( ~ c0_1(a503)
    | ~ c2_1(a503)
    | ~ spl0_35
    | ~ spl0_86 ),
    inference(resolution,[],[f338,f577]) ).

fof(f1503,plain,
    ( ~ c0_1(a461)
    | ~ c2_1(a461)
    | ~ spl0_35
    | ~ spl0_70 ),
    inference(resolution,[],[f338,f502]) ).

fof(f1506,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_35
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1494]) ).

fof(f1508,plain,
    ( ~ spl0_71
    | ~ spl0_72
    | ~ spl0_35
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1503,f501,f337,f510,f506]) ).

fof(f1512,plain,
    ( spl0_36
    | ~ spl0_35
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1506,f353,f337,f340]) ).

fof(f1517,plain,
    ( ~ spl0_87
    | ~ spl0_149
    | ~ spl0_35
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1501,f576,f337,f895,f580]) ).

fof(f1538,plain,
    ( c0_1(a466)
    | ~ c1_1(a466)
    | ~ spl0_45
    | ~ spl0_137 ),
    inference(resolution,[],[f382,f815]) ).

fof(f1546,plain,
    ( ~ spl0_138
    | spl0_136
    | ~ spl0_45
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1538,f814,f381,f809,f818]) ).

fof(f1547,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_45
    | ~ spl0_54 ),
    inference(resolution,[],[f422,f382]) ).

fof(f1556,plain,
    ( c0_1(a494)
    | c2_1(a494)
    | ~ spl0_54
    | spl0_94 ),
    inference(resolution,[],[f422,f614]) ).

fof(f1558,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_45
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1547]) ).

fof(f1560,plain,
    ( spl0_53
    | ~ spl0_45
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1558,f421,f381,f416]) ).

fof(f1576,plain,
    ( ~ c2_1(a463)
    | c0_1(a463)
    | ~ spl0_55
    | spl0_142 ),
    inference(resolution,[],[f427,f838]) ).

fof(f1582,plain,
    ( ~ c2_1(a494)
    | c0_1(a494)
    | ~ spl0_55
    | spl0_95 ),
    inference(resolution,[],[f427,f619]) ).

fof(f1583,plain,
    ( ~ c2_1(a503)
    | c0_1(a503)
    | ~ spl0_55
    | spl0_85 ),
    inference(resolution,[],[f427,f572]) ).

fof(f1622,plain,
    ( c0_1(a494)
    | c1_1(a494)
    | ~ spl0_58
    | spl0_94 ),
    inference(resolution,[],[f438,f614]) ).

fof(f1625,plain,
    ( spl0_95
    | spl0_96
    | ~ spl0_58
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1622,f613,f437,f622,f618]) ).

fof(f1637,plain,
    ( ~ c0_1(a460)
    | c2_1(a460)
    | ~ spl0_31
    | spl0_145 ),
    inference(resolution,[],[f852,f323]) ).

fof(f1645,plain,
    ( spl0_146
    | ~ spl0_147
    | ~ spl0_31
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1637,f851,f322,f860,f856]) ).

fof(f1651,plain,
    ( c2_1(a474)
    | c0_1(a474)
    | ~ spl0_60
    | spl0_125 ),
    inference(resolution,[],[f451,f759]) ).

fof(f1653,plain,
    ( c2_1(a480)
    | c0_1(a480)
    | ~ spl0_60
    | spl0_110 ),
    inference(resolution,[],[f451,f689]) ).

fof(f1654,plain,
    ( c2_1(a494)
    | c0_1(a494)
    | ~ spl0_60
    | spl0_95 ),
    inference(resolution,[],[f451,f619]) ).

fof(f1666,plain,
    ( spl0_111
    | spl0_109
    | ~ spl0_60
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1653,f688,f450,f683,f692]) ).

fof(f1667,plain,
    ( spl0_164
    | spl0_124
    | ~ spl0_60
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1651,f758,f450,f753,f1385]) ).

fof(f1673,plain,
    ( ~ spl0_120
    | ~ spl0_119
    | ~ spl0_36
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1189,f725,f340,f730,f734]) ).

fof(f1674,plain,
    ( ~ spl0_78
    | ~ spl0_161
    | ~ spl0_36
    | spl0_77 ),
    inference(avatar_split_clause,[],[f1194,f534,f340,f1159,f538]) ).

fof(f1676,plain,
    ( spl0_105
    | ~ spl0_148
    | ~ spl0_39
    | spl0_103 ),
    inference(avatar_split_clause,[],[f990,f655,f353,f879,f664]) ).

fof(f1681,plain,
    ( spl0_124
    | spl0_164
    | ~ spl0_51
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1388,f762,f408,f1385,f753]) ).

fof(f1687,plain,
    ( spl0_97
    | spl0_98
    | ~ spl0_53
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1310,f636,f416,f632,f627]) ).

fof(f1689,plain,
    ( spl0_156
    | spl0_96
    | ~ spl0_54
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1556,f613,f421,f622,f1054]) ).

fof(f1691,plain,
    ( spl0_96
    | spl0_156
    | ~ spl0_60
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1654,f618,f450,f1054,f622]) ).

fof(f1706,plain,
    ( spl0_140
    | spl0_141
    | ~ spl0_53
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1306,f1010,f416,f832,f828]) ).

fof(f1711,plain,
    ( c2_1(a488)
    | c0_1(a488)
    | ~ spl0_60
    | spl0_105 ),
    inference(resolution,[],[f665,f451]) ).

fof(f1712,plain,
    ( spl0_148
    | spl0_104
    | ~ spl0_60
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1711,f664,f450,f660,f879]) ).

fof(f1721,plain,
    ( ~ spl0_154
    | ~ spl0_68
    | ~ spl0_33
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1374,f496,f329,f492,f973]) ).

fof(f1724,plain,
    ( spl0_140
    | spl0_155
    | ~ spl0_42
    | spl0_139 ),
    inference(avatar_split_clause,[],[f1045,f823,f367,f1010,f828]) ).

fof(f1726,plain,
    ( spl0_156
    | spl0_95
    | ~ spl0_42
    | spl0_94 ),
    inference(avatar_split_clause,[],[f1183,f613,f367,f618,f1054]) ).

fof(f1728,plain,
    ( ~ spl0_87
    | spl0_149
    | ~ spl0_44
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1118,f576,f375,f895,f580]) ).

fof(f1730,plain,
    ( spl0_143
    | ~ spl0_144
    | ~ spl0_55
    | spl0_142 ),
    inference(avatar_split_clause,[],[f1576,f837,f426,f846,f842]) ).

fof(f1732,plain,
    ( spl0_96
    | ~ spl0_156
    | ~ spl0_55
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1582,f618,f426,f1054,f622]) ).

fof(f1733,plain,
    ( spl0_149
    | ~ spl0_87
    | ~ spl0_55
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1583,f571,f426,f580,f895]) ).

fof(f1737,plain,
    ( ~ spl0_149
    | ~ spl0_87
    | ~ spl0_36
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1192,f571,f340,f580,f895]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f226]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f236]) ).

cnf(s5,plain,
    ( spl0_3
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s13,plain,
    ( spl0_7
    | ~ spl0_20
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f310]) ).

cnf(s15,plain,
    ( ~ spl0_20
    | spl0_29
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f324]) ).

cnf(s17,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_29
    | spl0_34 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s18,plain,
    ( spl0_16
    | ~ spl0_20
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s20,plain,
    ( spl0_1
    | spl0_13
    | ~ spl0_20
    | spl0_37 ),
    inference(sat_conversion,[],[f347]) ).

cnf(s24,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_31
    | spl0_39 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s26,plain,
    ( spl0_4
    | spl0_16
    | ~ spl0_20
    | spl0_41 ),
    inference(sat_conversion,[],[f365]) ).

cnf(s27,plain,
    ( spl0_5
    | ~ spl0_20
    | spl0_29
    | spl0_42 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s31,plain,
    ( ~ spl0_20
    | spl0_30
    | spl0_42
    | spl0_44 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s32,plain,
    ( spl0_13
    | ~ spl0_20
    | spl0_35
    | spl0_45 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s39,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f402]) ).

cnf(s42,plain,
    ( spl0_12
    | ~ spl0_20
    | spl0_44
    | spl0_51 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s44,plain,
    ( ~ spl0_20
    | spl0_44
    | spl0_45
    | spl0_53 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s45,plain,
    ( ~ spl0_20
    | spl0_26
    | spl0_31
    | spl0_54 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s47,plain,
    ( spl0_2
    | ~ spl0_20
    | spl0_23
    | spl0_55 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s48,plain,
    ( spl0_19
    | ~ spl0_20
    | spl0_35
    | spl0_55 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s55,plain,
    ( ~ spl0_20
    | spl0_48
    | spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s56,plain,
    ( ~ spl0_20
    | spl0_32
    | spl0_48
    | spl0_60 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s57,plain,
    ( ~ spl0_20
    | spl0_21
    | spl0_52
    | spl0_60 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s58,plain,
    ( spl0_14
    | ~ spl0_20
    | spl0_39
    | spl0_60 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s59,plain,
    ( ~ spl0_20
    | spl0_31
    | spl0_45
    | spl0_60 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s60,plain,
    ( ~ spl0_20
    | spl0_48
    | spl0_55
    | spl0_60 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s69,plain,
    ( ~ spl0_19
    | spl0_67 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s70,plain,
    ( ~ spl0_19
    | spl0_68 ),
    inference(sat_conversion,[],[f494]) ).

cnf(s71,plain,
    ( ~ spl0_19
    | spl0_69 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s73,plain,
    ( ~ spl0_14
    | spl0_70 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s74,plain,
    ( ~ spl0_14
    | spl0_71 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s75,plain,
    ( ~ spl0_14
    | spl0_72 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s77,plain,
    ( ~ spl0_6
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s78,plain,
    ( ~ spl0_6
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s79,plain,
    ( ~ spl0_6
    | spl0_75 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s81,plain,
    ( ~ spl0_11
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f532]) ).

cnf(s82,plain,
    ( ~ spl0_11
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s83,plain,
    ( ~ spl0_11
    | spl0_78 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s93,plain,
    ( ~ spl0_3
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s94,plain,
    ( ~ spl0_3
    | spl0_86 ),
    inference(sat_conversion,[],[f578]) ).

cnf(s95,plain,
    ( ~ spl0_3
    | spl0_87 ),
    inference(sat_conversion,[],[f582]) ).

cnf(s96,plain,
    ( ~ spl0_3
    | spl0_20 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s105,plain,
    ( ~ spl0_16
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s106,plain,
    ( ~ spl0_16
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f620]) ).

cnf(s107,plain,
    ( ~ spl0_16
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f624]) ).

cnf(s109,plain,
    ( ~ spl0_4
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f630]) ).

cnf(s110,plain,
    ( ~ spl0_4
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s111,plain,
    ( ~ spl0_4
    | spl0_99 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s113,plain,
    ( ~ spl0_5
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s114,plain,
    ( ~ spl0_5
    | spl0_101 ),
    inference(sat_conversion,[],[f648]) ).

cnf(s115,plain,
    ( ~ spl0_5
    | spl0_102 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s117,plain,
    ( ~ spl0_13
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f658]) ).

cnf(s118,plain,
    ( ~ spl0_13
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s119,plain,
    ( ~ spl0_13
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s125,plain,
    ( ~ spl0_1
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s126,plain,
    ( ~ spl0_1
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s127,plain,
    ( ~ spl0_1
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f694]) ).

cnf(s128,plain,
    ( ~ spl0_1
    | spl0_20 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s129,plain,
    ( ~ spl0_7
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f700]) ).

cnf(s130,plain,
    ( ~ spl0_7
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s131,plain,
    ( ~ spl0_7
    | spl0_114 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s137,plain,
    ( ~ spl0_12
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s138,plain,
    ( ~ spl0_12
    | spl0_119 ),
    inference(sat_conversion,[],[f732]) ).

cnf(s139,plain,
    ( ~ spl0_12
    | spl0_120 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s145,plain,
    ( ~ spl0_26
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s146,plain,
    ( ~ spl0_26
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s147,plain,
    ( ~ spl0_26
    | spl0_126 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s149,plain,
    ( ~ spl0_2
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s150,plain,
    ( ~ spl0_2
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f774]) ).

cnf(s151,plain,
    ( ~ spl0_2
    | spl0_129 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s152,plain,
    ( ~ spl0_2
    | spl0_20 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s161,plain,
    ( ~ spl0_29
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f812]) ).

cnf(s162,plain,
    ( ~ spl0_29
    | spl0_137 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s163,plain,
    ( ~ spl0_29
    | spl0_138 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s165,plain,
    ( ~ spl0_23
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s166,plain,
    ( ~ spl0_23
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s167,plain,
    ( ~ spl0_23
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s169,plain,
    ( ~ spl0_32
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s170,plain,
    ( ~ spl0_32
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s171,plain,
    ( ~ spl0_32
    | spl0_144 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s173,plain,
    ( ~ spl0_48
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f854]) ).

cnf(s174,plain,
    ( ~ spl0_48
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s175,plain,
    ( ~ spl0_48
    | spl0_147 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s179,plain,
    ( ~ spl0_21
    | ~ spl0_30
    | spl0_33 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s181,plain,
    ( ~ spl0_34
    | spl0_85
    | ~ spl0_86
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s187,plain,
    ( ~ spl0_31
    | spl0_103
    | spl0_104
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s202,plain,
    ( ~ spl0_27
    | spl0_139
    | spl0_140
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s207,plain,
    ( ~ spl0_42
    | spl0_103
    | spl0_104
    | spl0_105 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s219,plain,
    ( ~ spl0_37
    | spl0_127
    | spl0_128
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1105]) ).

cnf(s232,plain,
    ( ~ spl0_34
    | ~ spl0_39
    | spl0_118
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s236,plain,
    ( ~ spl0_42
    | spl0_76
    | spl0_77
    | spl0_161 ),
    inference(sat_conversion,[],[f1166]) ).

cnf(s251,plain,
    ( ~ spl0_37
    | spl0_94
    | spl0_95
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1210]) ).

cnf(s256,plain,
    ( ~ spl0_27
    | ~ spl0_45
    | spl0_53 ),
    inference(sat_conversion,[],[f1226]) ).

cnf(s264,plain,
    ( ~ spl0_49
    | spl0_112
    | spl0_113
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f1263]) ).

cnf(s271,plain,
    ( ~ spl0_42
    | ~ spl0_51
    | spl0_60 ),
    inference(sat_conversion,[],[f1285]) ).

cnf(s273,plain,
    ( ~ spl0_52
    | spl0_85
    | ~ spl0_86
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f1301]) ).

cnf(s282,plain,
    ( ~ spl0_53
    | spl0_100
    | ~ spl0_102
    | spl0_162 ),
    inference(sat_conversion,[],[f1337]) ).

cnf(s293,plain,
    ( ~ spl0_34
    | spl0_125
    | ~ spl0_126
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1391]) ).

cnf(s296,plain,
    ( ~ spl0_45
    | ~ spl0_101
    | ~ spl0_102
    | spl0_162 ),
    inference(sat_conversion,[],[f1395]) ).

cnf(s299,plain,
    ( ~ spl0_45
    | ~ spl0_67
    | ~ spl0_69
    | spl0_154 ),
    inference(sat_conversion,[],[f1398]) ).

cnf(s305,plain,
    ( ~ spl0_30
    | ~ spl0_67
    | ~ spl0_69
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1421]) ).

cnf(s307,plain,
    ( ~ spl0_30
    | ~ spl0_101
    | ~ spl0_102
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1423]) ).

cnf(s314,plain,
    ( ~ spl0_41
    | spl0_73
    | spl0_74
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f1435]) ).

cnf(s334,plain,
    ( ~ spl0_35
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f1508]) ).

cnf(s338,plain,
    ( ~ spl0_35
    | spl0_36
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1512]) ).

cnf(s343,plain,
    ( ~ spl0_35
    | ~ spl0_86
    | ~ spl0_87
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1517]) ).

cnf(s350,plain,
    ( ~ spl0_45
    | spl0_136
    | ~ spl0_137
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1546]) ).

cnf(s352,plain,
    ( ~ spl0_45
    | spl0_53
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f1560]) ).

cnf(s364,plain,
    ( ~ spl0_58
    | spl0_94
    | spl0_95
    | spl0_96 ),
    inference(sat_conversion,[],[f1625]) ).

cnf(s368,plain,
    ( ~ spl0_31
    | spl0_145
    | spl0_146
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1645]) ).

cnf(s371,plain,
    ( ~ spl0_60
    | spl0_109
    | spl0_110
    | spl0_111 ),
    inference(sat_conversion,[],[f1666]) ).

cnf(s372,plain,
    ( ~ spl0_60
    | spl0_124
    | spl0_125
    | spl0_164 ),
    inference(sat_conversion,[],[f1667]) ).

cnf(s378,plain,
    ( ~ spl0_36
    | spl0_118
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f1673]) ).

cnf(s379,plain,
    ( ~ spl0_36
    | spl0_77
    | ~ spl0_78
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1674]) ).

cnf(s381,plain,
    ( ~ spl0_39
    | spl0_103
    | spl0_105
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1676]) ).

cnf(s387,plain,
    ( ~ spl0_51
    | spl0_124
    | ~ spl0_126
    | spl0_164 ),
    inference(sat_conversion,[],[f1681]) ).

cnf(s393,plain,
    ( ~ spl0_53
    | spl0_97
    | spl0_98
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f1687]) ).

cnf(s395,plain,
    ( ~ spl0_54
    | spl0_94
    | spl0_96
    | spl0_156 ),
    inference(sat_conversion,[],[f1689]) ).

cnf(s397,plain,
    ( ~ spl0_60
    | spl0_95
    | spl0_96
    | spl0_156 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s412,plain,
    ( ~ spl0_53
    | spl0_140
    | spl0_141
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1706]) ).

cnf(s416,plain,
    ( ~ spl0_60
    | spl0_104
    | spl0_105
    | spl0_148 ),
    inference(sat_conversion,[],[f1712]) ).

cnf(s426,plain,
    ( ~ spl0_33
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1721]) ).

cnf(s429,plain,
    ( ~ spl0_42
    | spl0_139
    | spl0_140
    | spl0_155 ),
    inference(sat_conversion,[],[f1724]) ).

cnf(s431,plain,
    ( ~ spl0_42
    | spl0_94
    | spl0_95
    | spl0_156 ),
    inference(sat_conversion,[],[f1726]) ).

cnf(s433,plain,
    ( ~ spl0_44
    | ~ spl0_86
    | ~ spl0_87
    | spl0_149 ),
    inference(sat_conversion,[],[f1728]) ).

cnf(s436,plain,
    ( ~ spl0_55
    | spl0_142
    | spl0_143
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1730]) ).

cnf(s438,plain,
    ( ~ spl0_55
    | spl0_95
    | spl0_96
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1732]) ).

cnf(s439,plain,
    ( ~ spl0_55
    | spl0_85
    | ~ spl0_87
    | spl0_149 ),
    inference(sat_conversion,[],[f1733]) ).

cnf(s443,plain,
    ( ~ spl0_36
    | spl0_85
    | ~ spl0_87
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1737]) ).

cnf(s448,plain,
    ( spl0_31
    | ~ spl0_13
    | spl0_45
    | ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s381,s416,s24,s59,s119,s118,s117]) ).

cnf(s449,plain,
    ( ~ spl0_48
    | ~ spl0_31 ),
    inference(rat,[],[s368,s173,s174,s175]) ).

cnf(s450,plain,
    ( ~ spl0_13
    | spl0_45
    | ~ spl0_16
    | ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s395,s438,s55,s60,s449,s416,s187,s448,s117,s118,s119,s364,s105,s106,s107]) ).

cnf(s451,plain,
    ( spl0_45
    | ~ spl0_16
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s449,s59,s60,s397,s439,s251,s343,s20,s32,s450,s96,s95,s94,s93,s107,s106,s105]) ).

cnf(s452,plain,
    ( ~ spl0_29
    | ~ spl0_45 ),
    inference(rat,[],[s350,s161,s162,s163]) ).

cnf(s453,plain,
    ( spl0_5
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s207,s117,s118,s119,s20,s251,s431,s27,s452,s451,s105,s106,s26,s314,s77,s78,s79,s2,s96]) ).

cnf(s454,plain,
    ( spl0_48
    | spl0_60
    | ~ spl0_20 ),
    inference(rat,[],[s436,s169,s170,s171,s60,s56]) ).

cnf(s455,plain,
    ( ~ spl0_13
    | spl0_45
    | ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s454,s416,s449,s187,s448,s117,s118,s119]) ).

cnf(s456,plain,
    ( spl0_45
    | ~ spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s429,s31,s412,s307,s165,s166,s167,s282,s47,s44,s439,s433,s343,s32,s455,s96,s95,s94,s93,s1,s115,s114,s113]) ).

cnf(s457,plain,
    ( ~ spl0_13
    | ~ spl0_42 ),
    inference(rat,[],[s207,s117,s118,s119]) ).

cnf(s461,plain,
    ( ~ spl0_12
    | ~ spl0_39
    | ~ spl0_34 ),
    inference(rat,[],[s232,s137,s139]) ).

cnf(s462,plain,
    ( ~ spl0_26
    | ~ spl0_60
    | ~ spl0_34 ),
    inference(rat,[],[s372,s293,s145,s146,s147]) ).

cnf(s463,plain,
    ( ~ spl0_5
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s264,s129,s130,s131,s13,s462,s202,s429,s165,s166,s454,s39,s47,s31,s449,s439,s433,s15,s181,s307,s17,s296,s452,s456,s114,s115,s96,s95,s94,s93,s1]) ).

cnf(s464,plain,
    ( spl0_48
    | ~ spl0_34
    | spl0_27
    | ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s264,s129,s130,s131,s13,s462,s454,s39]) ).

cnf(s465,plain,
    ( ~ spl0_45
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s387,s293,s42,s145,s146,s147,s461,s45,s24,s449,s464,s433,s181,s17,s256,s352,s452,s96,s95,s94,s93,s393,s109,s110,s111,s453,s463,s1]) ).

cnf(s466,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s343,s433,s32,s44,s455,s465,s393,s109,s110,s111,s453,s463,s94,s95,s96,s1]) ).

cnf(s467,plain,
    ( spl0_37
    | ~ spl0_20
    | spl0_1 ),
    inference(rat,[],[s416,s454,s187,s449,s15,s307,s296,s114,s115,s27,s452,s457,s455,s117,s118,s119,s20]) ).

cnf(s468,plain,
    spl0_1,
    inference(rat,[],[s467,s219,s149,s150,s151,s152,s466]) ).

cnf(s469,plain,
    spl0_20,
    inference(rat,[],[s128,s468]) ).

cnf(s470,plain,
    ~ spl0_111,
    inference(rat,[],[s127,s468]) ).

cnf(s471,plain,
    ~ spl0_110,
    inference(rat,[],[s126,s468]) ).

cnf(s472,plain,
    ~ spl0_109,
    inference(rat,[],[s125,s468]) ).

cnf(s473,plain,
    ~ spl0_60,
    inference(rat,[],[s371,s470,s471,s472]) ).

cnf(s474,plain,
    spl0_48,
    inference(rat,[],[s454,s469,s473]) ).

cnf(s478,plain,
    ~ spl0_31,
    inference(rat,[],[s449,s474]) ).

cnf(s479,plain,
    spl0_45,
    inference(rat,[],[s59,s473,s469,s478]) ).

cnf(s480,plain,
    ~ spl0_29,
    inference(rat,[],[s452,s479]) ).

cnf(s481,plain,
    spl0_30,
    inference(rat,[],[s15,s469,s478,s480]) ).

cnf(s483,plain,
    ( ~ spl0_101
    | ~ spl0_102 ),
    inference(rat,[],[s307,s296,s479,s481]) ).

cnf(s484,plain,
    ~ spl0_5,
    inference(rat,[],[s483,s114,s115]) ).

cnf(s485,plain,
    spl0_42,
    inference(rat,[],[s27,s469,s480,s484]) ).

cnf(s487,plain,
    ~ spl0_51,
    inference(rat,[],[s271,s473,s485]) ).

cnf(s489,plain,
    ( ~ spl0_19
    | ~ spl0_33 ),
    inference(rat,[],[s299,s426,s69,s70,s71,s479]) ).

cnf(s490,plain,
    ( ~ spl0_35
    | spl0_36 ),
    inference(rat,[],[s334,s73,s74,s75,s58,s338,s473,s469]) ).

cnf(s491,plain,
    ( spl0_149
    | ~ spl0_3 ),
    inference(rat,[],[s490,s48,s378,s137,s138,s139,s42,s439,s433,s489,s179,s57,s273,s93,s94,s95,s469,s487,s481,s473]) ).

cnf(s492,plain,
    ~ spl0_3,
    inference(rat,[],[s431,s438,s105,s106,s107,s48,s18,s443,s343,s491,s489,s179,s57,s273,s93,s94,s95,s485,s469,s481,s473]) ).

cnf(s493,plain,
    ( ~ spl0_67
    | ~ spl0_69 ),
    inference(rat,[],[s299,s305,s481,s479]) ).

cnf(s494,plain,
    ~ spl0_19,
    inference(rat,[],[s493,s69,s71]) ).

cnf(s495,plain,
    ( spl0_35
    | spl0_36 ),
    inference(rat,[],[s431,s438,s105,s106,s107,s48,s18,s494,s469,s485]) ).

cnf(s496,plain,
    spl0_36,
    inference(rat,[],[s495,s490]) ).

cnf(s497,plain,
    ~ spl0_12,
    inference(rat,[],[s378,s137,s138,s139,s496]) ).

cnf(s498,plain,
    spl0_11,
    inference(rat,[],[s5,s492,s497]) ).

cnf(s500,plain,
    spl0_78,
    inference(rat,[],[s83,s498]) ).

cnf(s501,plain,
    ~ spl0_77,
    inference(rat,[],[s82,s498]) ).

cnf(s502,plain,
    ~ spl0_76,
    inference(rat,[],[s81,s498]) ).

cnf(s503,plain,
    ~ spl0_161,
    inference(rat,[],[s379,s500,s496,s501]) ).

cnf(s505,plain,
    $false,
    inference(rat,[],[s236,s503,s485,s501,s502]) ).

fof(f1741,plain,
    $false,
    inference(avatar_sat_refutation,[],[s505]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN448+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n004.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 16:04:07 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.96/1.11  % (494586)Detected formulas, will run a generic FOF schedule.
% 2.96/1.11  % (494593)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=1030813144:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.96/1.11  % (494597)dis-21_1_sil=8000:lcm=predicate:random_seed=1701475521:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.96/1.11  % (494595)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2423646319:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.96/1.11  % (494592)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=3706211708:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.96/1.11  % (494594)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=35948565:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.96/1.11  % (494591)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=2506066830:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.96/1.11  % (494596)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2720425718:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.96/1.11  % (494597)First to succeed.
% 2.96/1.11  % (494597)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-494586"
% 2.96/1.11  % (494596)Also succeeded, but the first one will report.
% 2.96/1.11  % (494594)Also succeeded, but the first one will report.
% 2.96/1.11  % (494595)Instruction limit reached! 
% 2.96/1.11  % (494595)------------------------------
% 2.96/1.11  % (494595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.96/1.11  % (494595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/1.11  % (494595)CaDiCaL version: 2.1.3
% 2.96/1.11  % (494595)Termination reason: Instruction limit
% 2.96/1.11  % (494595)Termination phase: Saturation
% 2.96/1.11  % (494595)Time elapsed: 0.059 s
% 2.96/1.11  % (494595)Peak memory usage: 87 MB
% 2.96/1.11  % (494595)Instructions burned: 120 (million)
% 2.96/1.11  % (494605)lrs+10_1_sil=8000:sp=occurrence:random_seed=3388713775:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.96/1.11  % (494605)Also succeeded, but the first one will report.
% 2.96/1.11  % (494597)Refutation found. Thanks to Tanya!
% 2.96/1.11  % SZS status Theorem for theBenchmark
% 2.96/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.21  % (494597)------------------------------
% 3.69/1.21  % (494597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.21  % (494597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.21  % (494597)CaDiCaL version: 2.1.3
% 3.69/1.21  % (494597)Termination reason: Refutation
% 3.69/1.21  % (494597)Time elapsed: 0.026 s
% 3.69/1.21  % (494597)Peak memory usage: 90 MB
% 3.69/1.21  % (494597)Instructions burned: 43 (million)
% 3.69/1.21  % (494597)------------------------------
% 3.69/1.21  % (494597)------------------------------
% 3.69/1.21  % (494586)Success in time 0.443 s
% 3.69/1.21  % Vampire exiting
%------------------------------------------------------------------------------