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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN452+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 : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:51:57 PM UTC 2026

% Result   : Theorem 2.99s 1.12s
% Output   : Refutation 3.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :  141
% Syntax   : Number of formulae    :  939 (  24 unt; 140 def)
%            Number of atoms       : 6222 (   0 equ)
%            Maximal formula atoms :  603 (   6 avg)
%            Number of connectives : 8152 (2869   ~;3972   |; 895   &)
%                                         ( 140 <=>; 276  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   96 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  176 ( 175 usr; 172 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  682 (   0 sgn 682   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a815)
          & c1_1(a815)
          & ~ c3_1(a815) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a816)
          & c3_1(a816)
          & ~ c2_1(a816) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c2_1(a817)
          & ~ c0_1(a817)
          & ~ c3_1(a817) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a820)
          & ~ c1_1(a820)
          & ~ c3_1(a820) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c2_1(a821)
          & ~ c0_1(a821)
          & ~ c1_1(a821) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a825)
          & c3_1(a825)
          & ~ c0_1(a825) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a827)
          & c2_1(a827)
          & ~ c0_1(a827) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a828)
          & ~ c1_1(a828)
          & ~ c2_1(a828) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c0_1(a830)
          & ~ c2_1(a830)
          & ~ c3_1(a830) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c3_1(a831)
          & ~ c0_1(a831)
          & ~ c1_1(a831) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a834)
          & c2_1(a834)
          & ~ c1_1(a834) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a835)
          & c3_1(a835)
          & ~ c0_1(a835) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a838)
          & c2_1(a838)
          & ~ c3_1(a838) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a839)
          & c3_1(a839)
          & ~ c2_1(a839) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a842)
          & c1_1(a842)
          & ~ c2_1(a842) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a844)
          & ~ c1_1(a844)
          & ~ c3_1(a844) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a848)
          & c3_1(a848)
          & ~ c1_1(a848) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a852)
          & ~ c2_1(a852)
          & ~ c3_1(a852) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a854)
          & ~ c0_1(a854)
          & ~ c2_1(a854) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a855)
          & ~ c1_1(a855)
          & ~ c3_1(a855) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c3_1(a856)
          & ~ c1_1(a856)
          & ~ c2_1(a856) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a857)
          & ~ c2_1(a857)
          & ~ c3_1(a857) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a860)
          & ~ c1_1(a860)
          & ~ c2_1(a860) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a862)
          & c3_1(a862)
          & ~ c1_1(a862) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a878)
          & ~ c0_1(a878)
          & ~ c3_1(a878) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a892)
          & c2_1(a892)
          & ~ c3_1(a892) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a818)
          & c1_1(a818)
          & c2_1(a818) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a826)
          & c2_1(a826)
          & c3_1(a826) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a833)
          & c1_1(a833)
          & c3_1(a833) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a865)
          & c2_1(a865)
          & c3_1(a865) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c2_1(X1)
              | c3_1(X1) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c2_1(X3)
              | ~ c0_1(X3) ) )
        | hskp1 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | ~ c0_1(X5)
              | ~ c2_1(X5) ) )
        | hskp2 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c3_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | ~ c3_1(X7) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | hskp26
        | hskp0 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | ~ c1_1(X10)
              | ~ c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | ~ c0_1(X11)
              | ~ c1_1(X11) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | hskp3
        | hskp4 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) )
        | hskp3 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c1_1(X16)
              | c2_1(X16)
              | ~ c3_1(X16) ) )
        | hskp2 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c2_1(X17)
              | c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | ~ c3_1(X18) ) )
        | hskp4 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | c3_1(X20)
              | ~ c0_1(X20) ) )
        | hskp5 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) )
        | hskp27
        | hskp6 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) )
        | hskp7
        | hskp4 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | ~ c1_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | c3_1(X24)
              | ~ c0_1(X24) ) )
        | hskp8 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c2_1(X25)
              | ~ c1_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c2_1(X26)
              | ~ c0_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c2_1(X27)
              | ~ c1_1(X27)
              | ~ c3_1(X27) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | ~ c0_1(X29)
              | ~ c3_1(X29) ) )
        | hskp9 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | ~ c3_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | ~ c0_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | ~ c1_1(X32)
              | ~ c3_1(X32) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c3_1(X33) ) )
        | hskp26
        | hskp28 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c3_1(X34) ) )
        | hskp10
        | hskp11 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c3_1(X35)
              | ~ c1_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | ~ c0_1(X36)
              | ~ c1_1(X36) ) )
        | hskp26 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c3_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | ~ c0_1(X38)
              | ~ c2_1(X38) ) )
        | hskp6 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c3_1(X39)
              | ~ c1_1(X39) ) )
        | hskp12
        | hskp13 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c3_1(X40)
              | ~ c2_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c1_1(X41)
              | c2_1(X41)
              | c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | ~ c1_1(X42)
              | ~ c2_1(X42) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c3_1(X43)
              | ~ c2_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | c3_1(X44)
              | ~ c2_1(X44) ) )
        | hskp2 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c1_1(X45)
              | ~ c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | ~ c0_1(X47)
              | ~ c1_1(X47) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c1_1(X48)
              | ~ c3_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | ~ c0_1(X49)
              | ~ c1_1(X49) ) )
        | hskp9 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c1_1(X50)
              | ~ c3_1(X50) ) )
        | hskp14
        | hskp13 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c3_1(X51) ) )
        | hskp15
        | hskp8 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c2_1(X52)
              | ~ c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | ~ c0_1(X53)
              | ~ c2_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | c3_1(X54)
              | ~ c1_1(X54) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c2_1(X55)
              | c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | c2_1(X56)
              | ~ c0_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | ~ c2_1(X57)
              | ~ c3_1(X57) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | ~ c2_1(X59)
              | ~ c3_1(X59) ) )
        | hskp6 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c2_1(X60)
              | c3_1(X60) ) )
        | hskp27 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c2_1(X61)
              | ~ c0_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c2_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c2_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | hskp16 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | ~ c0_1(X67)
              | ~ c3_1(X67) ) )
        | hskp9 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | ~ c1_1(X69)
              | ~ c3_1(X69) ) )
        | hskp3 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c3_1(X70)
              | ~ c0_1(X70) ) )
        | hskp12
        | hskp17 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | ~ c0_1(X71) ) )
        | hskp3
        | hskp18 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c0_1(X72)
              | ~ c2_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | ~ c0_1(X73)
              | ~ c1_1(X73) ) )
        | hskp19 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c0_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | ~ c2_1(X75)
              | ~ c3_1(X75) ) )
        | hskp20 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | ~ c0_1(X76)
              | ~ c3_1(X76) ) )
        | hskp21
        | hskp13 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c2_1(X77)
              | ~ c3_1(X77) ) )
        | hskp14
        | hskp22 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | c3_1(X78)
              | ~ c0_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | ~ c1_1(X79)
              | ~ c3_1(X79) ) )
        | hskp15 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | c3_1(X80)
              | ~ c1_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) )
        | hskp23 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | c3_1(X82)
              | ~ c1_1(X82) ) )
        | hskp1
        | hskp22 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c0_1(X83)
              | ~ c1_1(X83) ) )
        | hskp29
        | hskp19 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c0_1(X84)
              | ~ c3_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c1_1(X85)
              | ~ c3_1(X85) ) )
        | hskp29 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c1_1(X86)
              | ~ c2_1(X86) ) )
        | hskp14
        | hskp7 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | ~ c1_1(X87)
              | ~ c2_1(X87) ) )
        | hskp14
        | hskp15 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | ~ c1_1(X88)
              | ~ c2_1(X88) ) )
        | hskp1
        | hskp2 )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | ~ c1_1(X89)
              | ~ c3_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | ~ c2_1(X90)
              | ~ c3_1(X90) ) )
        | hskp8 )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c2_1(X91)
              | ~ c3_1(X91) ) )
        | hskp23
        | hskp3 )
      & ( hskp28
        | hskp24
        | hskp20 )
      & ( hskp14
        | hskp12
        | hskp11 )
      & ( hskp14
        | hskp24 )
      & ( hskp27
        | hskp18
        | hskp9 )
      & ( hskp27
        | hskp17
        | hskp15 )
      & ( hskp23
        | hskp25
        | hskp5 )
      & ( hskp7
        | hskp5
        | hskp13 )
      & ( hskp13
        | hskp16
        | hskp19 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a815)
            & c1_1(a815)
            & ~ c3_1(a815) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a816)
            & c3_1(a816)
            & ~ c2_1(a816) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c2_1(a817)
            & ~ c0_1(a817)
            & ~ c3_1(a817) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a820)
            & ~ c1_1(a820)
            & ~ c3_1(a820) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c2_1(a821)
            & ~ c0_1(a821)
            & ~ c1_1(a821) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a825)
            & c3_1(a825)
            & ~ c0_1(a825) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a827)
            & c2_1(a827)
            & ~ c0_1(a827) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a828)
            & ~ c1_1(a828)
            & ~ c2_1(a828) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c0_1(a830)
            & ~ c2_1(a830)
            & ~ c3_1(a830) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c3_1(a831)
            & ~ c0_1(a831)
            & ~ c1_1(a831) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a834)
            & c2_1(a834)
            & ~ c1_1(a834) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a835)
            & c3_1(a835)
            & ~ c0_1(a835) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a838)
            & c2_1(a838)
            & ~ c3_1(a838) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a839)
            & c3_1(a839)
            & ~ c2_1(a839) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a842)
            & c1_1(a842)
            & ~ c2_1(a842) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a844)
            & ~ c1_1(a844)
            & ~ c3_1(a844) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a848)
            & c3_1(a848)
            & ~ c1_1(a848) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a852)
            & ~ c2_1(a852)
            & ~ c3_1(a852) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a854)
            & ~ c0_1(a854)
            & ~ c2_1(a854) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a855)
            & ~ c1_1(a855)
            & ~ c3_1(a855) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c3_1(a856)
            & ~ c1_1(a856)
            & ~ c2_1(a856) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a857)
            & ~ c2_1(a857)
            & ~ c3_1(a857) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a860)
            & ~ c1_1(a860)
            & ~ c2_1(a860) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a862)
            & c3_1(a862)
            & ~ c1_1(a862) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a878)
            & ~ c0_1(a878)
            & ~ c3_1(a878) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a892)
            & c2_1(a892)
            & ~ c3_1(a892) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a818)
            & c1_1(a818)
            & c2_1(a818) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a826)
            & c2_1(a826)
            & c3_1(a826) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a833)
            & c1_1(a833)
            & c3_1(a833) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a865)
            & c2_1(a865)
            & c3_1(a865) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c2_1(X1)
                | c3_1(X1) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c2_1(X3)
                | ~ c0_1(X3) ) )
          | hskp1 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | ~ c0_1(X5)
                | ~ c2_1(X5) ) )
          | hskp2 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | ~ c3_1(X7) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | hskp26
          | hskp0 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | ~ c1_1(X10)
                | ~ c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c0_1(X11)
                | ~ c1_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | hskp3
          | hskp4 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) )
          | hskp3 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | c2_1(X16)
                | ~ c3_1(X16) ) )
          | hskp2 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | ~ c3_1(X18) ) )
          | hskp4 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | c3_1(X20)
                | ~ c0_1(X20) ) )
          | hskp5 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) )
          | hskp27
          | hskp6 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | hskp7
          | hskp4 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | ~ c1_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | c3_1(X24)
                | ~ c0_1(X24) ) )
          | hskp8 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c2_1(X25)
                | ~ c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | ~ c0_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | ~ c1_1(X27)
                | ~ c3_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c0_1(X29)
                | ~ c3_1(X29) ) )
          | hskp9 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | ~ c0_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c1_1(X32)
                | ~ c3_1(X32) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c3_1(X33) ) )
          | hskp26
          | hskp28 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c3_1(X34) ) )
          | hskp10
          | hskp11 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c3_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | ~ c0_1(X36)
                | ~ c1_1(X36) ) )
          | hskp26 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c3_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | ~ c0_1(X38)
                | ~ c2_1(X38) ) )
          | hskp6 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c3_1(X39)
                | ~ c1_1(X39) ) )
          | hskp12
          | hskp13 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c3_1(X40)
                | ~ c2_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | c2_1(X41)
                | c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | ~ c1_1(X42)
                | ~ c2_1(X42) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c3_1(X43)
                | ~ c2_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c3_1(X44)
                | ~ c2_1(X44) ) )
          | hskp2 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c1_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c0_1(X47)
                | ~ c1_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c1_1(X48)
                | ~ c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c0_1(X49)
                | ~ c1_1(X49) ) )
          | hskp9 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c1_1(X50)
                | ~ c3_1(X50) ) )
          | hskp14
          | hskp13 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c3_1(X51) ) )
          | hskp15
          | hskp8 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c2_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | ~ c0_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c2_1(X55)
                | c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c2_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) )
          | hskp6 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c2_1(X60)
                | c3_1(X60) ) )
          | hskp27 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c2_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp16 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | ~ c0_1(X67)
                | ~ c3_1(X67) ) )
          | hskp9 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | ~ c1_1(X69)
                | ~ c3_1(X69) ) )
          | hskp3 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c3_1(X70)
                | ~ c0_1(X70) ) )
          | hskp12
          | hskp17 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | ~ c0_1(X71) ) )
          | hskp3
          | hskp18 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | ~ c0_1(X73)
                | ~ c1_1(X73) ) )
          | hskp19 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | ~ c2_1(X75)
                | ~ c3_1(X75) ) )
          | hskp20 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c0_1(X76)
                | ~ c3_1(X76) ) )
          | hskp21
          | hskp13 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp14
          | hskp22 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | c3_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | ~ c1_1(X79)
                | ~ c3_1(X79) ) )
          | hskp15 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | c3_1(X80)
                | ~ c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) )
          | hskp23 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c3_1(X82)
                | ~ c1_1(X82) ) )
          | hskp1
          | hskp22 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c0_1(X83)
                | ~ c1_1(X83) ) )
          | hskp29
          | hskp19 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c0_1(X84)
                | ~ c3_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c1_1(X85)
                | ~ c3_1(X85) ) )
          | hskp29 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c1_1(X86)
                | ~ c2_1(X86) ) )
          | hskp14
          | hskp7 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | ~ c1_1(X87)
                | ~ c2_1(X87) ) )
          | hskp14
          | hskp15 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c1_1(X88)
                | ~ c2_1(X88) ) )
          | hskp1
          | hskp2 )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | ~ c1_1(X89)
                | ~ c3_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c2_1(X90)
                | ~ c3_1(X90) ) )
          | hskp8 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c2_1(X91)
                | ~ c3_1(X91) ) )
          | hskp23
          | hskp3 )
        & ( hskp28
          | hskp24
          | hskp20 )
        & ( hskp14
          | hskp12
          | hskp11 )
        & ( hskp14
          | hskp24 )
        & ( hskp27
          | hskp18
          | hskp9 )
        & ( hskp27
          | hskp17
          | hskp15 )
        & ( hskp23
          | hskp25
          | hskp5 )
        & ( hskp7
          | hskp5
          | hskp13 )
        & ( hskp13
          | hskp16
          | hskp19 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a815)
        & c1_1(a815)
        & ~ c3_1(a815) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a816)
        & c3_1(a816)
        & ~ c2_1(a816) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a817)
        & ~ c0_1(a817)
        & ~ c3_1(a817) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a820)
        & ~ c1_1(a820)
        & ~ c3_1(a820) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a821)
        & ~ c0_1(a821)
        & ~ c1_1(a821) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a825)
        & c3_1(a825)
        & ~ c0_1(a825) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a827)
        & c2_1(a827)
        & ~ c0_1(a827) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a828)
        & ~ c1_1(a828)
        & ~ c2_1(a828) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a830)
        & ~ c2_1(a830)
        & ~ c3_1(a830) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a831)
        & ~ c0_1(a831)
        & ~ c1_1(a831) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a834)
        & c2_1(a834)
        & ~ c1_1(a834) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a835)
        & c3_1(a835)
        & ~ c0_1(a835) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a838)
        & c2_1(a838)
        & ~ c3_1(a838) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a839)
        & c3_1(a839)
        & ~ c2_1(a839) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a842)
        & c1_1(a842)
        & ~ c2_1(a842) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a844)
        & ~ c1_1(a844)
        & ~ c3_1(a844) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a848)
        & c3_1(a848)
        & ~ c1_1(a848) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a852)
        & ~ c2_1(a852)
        & ~ c3_1(a852) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a854)
        & ~ c0_1(a854)
        & ~ c2_1(a854) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a855)
        & ~ c1_1(a855)
        & ~ c3_1(a855) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a856)
        & ~ c1_1(a856)
        & ~ c2_1(a856) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a857)
        & ~ c2_1(a857)
        & ~ c3_1(a857) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a860)
        & ~ c1_1(a860)
        & ~ c2_1(a860) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a862)
        & c3_1(a862)
        & ~ c1_1(a862) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a878)
        & ~ c0_1(a878)
        & ~ c3_1(a878) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a892)
        & c2_1(a892)
        & ~ c3_1(a892) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a818)
        & c1_1(a818)
        & c2_1(a818) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a826)
        & c2_1(a826)
        & c3_1(a826) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a833)
        & c1_1(a833)
        & c3_1(a833) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a865)
        & c2_1(a865)
        & c3_1(a865) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c2_1(X1)
            | c3_1(X1) ) )
      | hskp0 )
    & ( ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c1_1(X2)
            | c2_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c1_1(X3)
            | c2_1(X3)
            | ~ c0_1(X3) ) )
      | hskp1 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c2_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | ~ c0_1(X5)
            | ~ c2_1(X5) ) )
      | hskp2 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c3_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | ~ c3_1(X7) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c3_1(X8) ) )
      | hskp26
      | hskp0 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c2_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | ~ c1_1(X10)
            | ~ c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | ~ c0_1(X11)
            | ~ c1_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | ~ c2_1(X12) ) )
      | hskp3
      | hskp4 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | ~ c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | ~ c1_1(X14)
            | ~ c2_1(X14) ) )
      | hskp3 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c1_1(X16)
            | c2_1(X16)
            | ~ c3_1(X16) ) )
      | hskp2 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c2_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c2_1(X18)
            | ~ c3_1(X18) ) )
      | hskp4 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | c3_1(X20)
            | ~ c0_1(X20) ) )
      | hskp5 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c2_1(X21)
            | c3_1(X21) ) )
      | hskp27
      | hskp6 )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c2_1(X22)
            | c3_1(X22) ) )
      | hskp7
      | hskp4 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | ~ c1_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c2_1(X24)
            | c3_1(X24)
            | ~ c0_1(X24) ) )
      | hskp8 )
    & ( ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | c2_1(X25)
            | ~ c1_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | ~ c0_1(X26)
            | ~ c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | ~ c1_1(X27)
            | ~ c3_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | ~ c0_1(X29)
            | ~ c3_1(X29) ) )
      | hskp9 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | ~ c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | ~ c0_1(X31)
            | ~ c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c2_1(X32)
            | ~ c1_1(X32)
            | ~ c3_1(X32) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c3_1(X33) ) )
      | hskp26
      | hskp28 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c3_1(X34) ) )
      | hskp10
      | hskp11 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c3_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c2_1(X36)
            | ~ c0_1(X36)
            | ~ c1_1(X36) ) )
      | hskp26 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c3_1(X37)
            | ~ c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c3_1(X38)
            | ~ c0_1(X38)
            | ~ c2_1(X38) ) )
      | hskp6 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c3_1(X39)
            | ~ c1_1(X39) ) )
      | hskp12
      | hskp13 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c3_1(X40)
            | ~ c2_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | c2_1(X41)
            | c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | ~ c1_1(X42)
            | ~ c2_1(X42) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c3_1(X43)
            | ~ c2_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | c3_1(X44)
            | ~ c2_1(X44) ) )
      | hskp2 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | ~ c1_1(X45)
            | ~ c2_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c2_1(X46)
            | ~ c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c2_1(X47)
            | ~ c0_1(X47)
            | ~ c1_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | ~ c1_1(X48)
            | ~ c3_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | ~ c0_1(X49)
            | ~ c1_1(X49) ) )
      | hskp9 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c1_1(X50)
            | ~ c3_1(X50) ) )
      | hskp14
      | hskp13 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c1_1(X51)
            | ~ c3_1(X51) ) )
      | hskp15
      | hskp8 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c2_1(X52)
            | ~ c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c1_1(X53)
            | ~ c0_1(X53)
            | ~ c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c3_1(X54)
            | ~ c1_1(X54) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | c2_1(X55)
            | c3_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | c2_1(X56)
            | ~ c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | ~ c2_1(X57)
            | ~ c3_1(X57) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c2_1(X58)
            | c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | ~ c2_1(X59)
            | ~ c3_1(X59) ) )
      | hskp6 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c2_1(X60)
            | c3_1(X60) ) )
      | hskp27 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c2_1(X61)
            | ~ c0_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c2_1(X62)
            | ~ c3_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | ~ c1_1(X63)
            | ~ c3_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c2_1(X64)
            | ~ c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | hskp16 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c2_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | ~ c0_1(X67)
            | ~ c3_1(X67) ) )
      | hskp9 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | ~ c1_1(X69)
            | ~ c3_1(X69) ) )
      | hskp3 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c3_1(X70)
            | ~ c0_1(X70) ) )
      | hskp12
      | hskp17 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c3_1(X71)
            | ~ c0_1(X71) ) )
      | hskp3
      | hskp18 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | ~ c0_1(X72)
            | ~ c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | ~ c0_1(X73)
            | ~ c1_1(X73) ) )
      | hskp19 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | ~ c0_1(X74)
            | ~ c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | ~ c2_1(X75)
            | ~ c3_1(X75) ) )
      | hskp20 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | ~ c0_1(X76)
            | ~ c3_1(X76) ) )
      | hskp21
      | hskp13 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | ~ c2_1(X77)
            | ~ c3_1(X77) ) )
      | hskp14
      | hskp22 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c2_1(X78)
            | c3_1(X78)
            | ~ c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | ~ c1_1(X79)
            | ~ c3_1(X79) ) )
      | hskp15 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c2_1(X80)
            | c3_1(X80)
            | ~ c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c0_1(X81)
            | ~ c3_1(X81) ) )
      | hskp23 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | c3_1(X82)
            | ~ c1_1(X82) ) )
      | hskp1
      | hskp22 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c2_1(X83)
            | ~ c0_1(X83)
            | ~ c1_1(X83) ) )
      | hskp29
      | hskp19 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c0_1(X84)
            | ~ c3_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | ~ c1_1(X85)
            | ~ c3_1(X85) ) )
      | hskp29 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | ~ c1_1(X86)
            | ~ c2_1(X86) ) )
      | hskp14
      | hskp7 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | ~ c1_1(X87)
            | ~ c2_1(X87) ) )
      | hskp14
      | hskp15 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | ~ c1_1(X88)
            | ~ c2_1(X88) ) )
      | hskp1
      | hskp2 )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | ~ c1_1(X89)
            | ~ c3_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | ~ c2_1(X90)
            | ~ c3_1(X90) ) )
      | hskp8 )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | ~ c2_1(X91)
            | ~ c3_1(X91) ) )
      | hskp23
      | hskp3 )
    & ( hskp28
      | hskp24
      | hskp20 )
    & ( hskp14
      | hskp12
      | hskp11 )
    & ( hskp14
      | hskp24 )
    & ( hskp27
      | hskp18
      | hskp9 )
    & ( hskp27
      | hskp17
      | hskp15 )
    & ( hskp23
      | hskp25
      | hskp5 )
    & ( hskp7
      | hskp5
      | hskp13 )
    & ( hskp13
      | hskp16
      | hskp19 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a815)
        & c1_1(a815)
        & ~ c3_1(a815) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a816)
        & c3_1(a816)
        & ~ c2_1(a816) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a817)
        & ~ c0_1(a817)
        & ~ c3_1(a817) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a820)
        & ~ c1_1(a820)
        & ~ c3_1(a820) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a821)
        & ~ c0_1(a821)
        & ~ c1_1(a821) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a825)
        & c3_1(a825)
        & ~ c0_1(a825) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a827)
        & c2_1(a827)
        & ~ c0_1(a827) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a828)
        & ~ c1_1(a828)
        & ~ c2_1(a828) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a830)
        & ~ c2_1(a830)
        & ~ c3_1(a830) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a831)
        & ~ c0_1(a831)
        & ~ c1_1(a831) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a834)
        & c2_1(a834)
        & ~ c1_1(a834) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a835)
        & c3_1(a835)
        & ~ c0_1(a835) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a838)
        & c2_1(a838)
        & ~ c3_1(a838) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a839)
        & c3_1(a839)
        & ~ c2_1(a839) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a842)
        & c1_1(a842)
        & ~ c2_1(a842) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a844)
        & ~ c1_1(a844)
        & ~ c3_1(a844) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a848)
        & c3_1(a848)
        & ~ c1_1(a848) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a852)
        & ~ c2_1(a852)
        & ~ c3_1(a852) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a854)
        & ~ c0_1(a854)
        & ~ c2_1(a854) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a855)
        & ~ c1_1(a855)
        & ~ c3_1(a855) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a856)
        & ~ c1_1(a856)
        & ~ c2_1(a856) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a857)
        & ~ c2_1(a857)
        & ~ c3_1(a857) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a860)
        & ~ c1_1(a860)
        & ~ c2_1(a860) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a862)
        & c3_1(a862)
        & ~ c1_1(a862) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a878)
        & ~ c0_1(a878)
        & ~ c3_1(a878) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a892)
        & c2_1(a892)
        & ~ c3_1(a892) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a818)
        & c1_1(a818)
        & c2_1(a818) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a826)
        & c2_1(a826)
        & c3_1(a826) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a833)
        & c1_1(a833)
        & c3_1(a833) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a865)
        & c2_1(a865)
        & c3_1(a865) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c1_1(X3)
          | c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c3_1(X5)
          | ~ c0_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | hskp26
      | hskp0 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c1_1(X16)
          | c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | c3_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | hskp27
      | hskp6 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | hskp7
      | hskp4 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | ~ c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | ~ c0_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp26
      | hskp28 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | ~ c0_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c3_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c1_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | ~ c0_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp14
      | hskp13 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp15
      | hskp8 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp12
      | hskp17 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp3
      | hskp18 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c1_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X76] :
          ( c1_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp21
      | hskp13 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp14
      | hskp22 )
    & ( ! [X78] :
          ( c2_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X82] :
          ( c2_1(X82)
          | c3_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | hskp1
      | hskp22 )
    & ( ! [X83] :
          ( c2_1(X83)
          | ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | hskp29
      | hskp19 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp14
      | hskp7 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp14
      | hskp15 )
    & ( ! [X88] :
          ( c3_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X91] :
          ( ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp23
      | hskp3 )
    & ( hskp28
      | hskp24
      | hskp20 )
    & ( hskp14
      | hskp12
      | hskp11 )
    & ( hskp14
      | hskp24 )
    & ( hskp27
      | hskp18
      | hskp9 )
    & ( hskp27
      | hskp17
      | hskp15 )
    & ( hskp23
      | hskp25
      | hskp5 )
    & ( hskp7
      | hskp5
      | hskp13 )
    & ( hskp13
      | hskp16
      | hskp19 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a815)
        & c1_1(a815)
        & ~ c3_1(a815) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a816)
        & c3_1(a816)
        & ~ c2_1(a816) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a817)
        & ~ c0_1(a817)
        & ~ c3_1(a817) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a820)
        & ~ c1_1(a820)
        & ~ c3_1(a820) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a821)
        & ~ c0_1(a821)
        & ~ c1_1(a821) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a825)
        & c3_1(a825)
        & ~ c0_1(a825) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a827)
        & c2_1(a827)
        & ~ c0_1(a827) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a828)
        & ~ c1_1(a828)
        & ~ c2_1(a828) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a830)
        & ~ c2_1(a830)
        & ~ c3_1(a830) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a831)
        & ~ c0_1(a831)
        & ~ c1_1(a831) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a834)
        & c2_1(a834)
        & ~ c1_1(a834) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a835)
        & c3_1(a835)
        & ~ c0_1(a835) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a838)
        & c2_1(a838)
        & ~ c3_1(a838) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a839)
        & c3_1(a839)
        & ~ c2_1(a839) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a842)
        & c1_1(a842)
        & ~ c2_1(a842) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a844)
        & ~ c1_1(a844)
        & ~ c3_1(a844) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a848)
        & c3_1(a848)
        & ~ c1_1(a848) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c1_1(a852)
        & ~ c2_1(a852)
        & ~ c3_1(a852) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a854)
        & ~ c0_1(a854)
        & ~ c2_1(a854) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a855)
        & ~ c1_1(a855)
        & ~ c3_1(a855) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c3_1(a856)
        & ~ c1_1(a856)
        & ~ c2_1(a856) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a857)
        & ~ c2_1(a857)
        & ~ c3_1(a857) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a860)
        & ~ c1_1(a860)
        & ~ c2_1(a860) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a862)
        & c3_1(a862)
        & ~ c1_1(a862) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a878)
        & ~ c0_1(a878)
        & ~ c3_1(a878) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a892)
        & c2_1(a892)
        & ~ c3_1(a892) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a818)
        & c1_1(a818)
        & c2_1(a818) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a826)
        & c2_1(a826)
        & c3_1(a826) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a833)
        & c1_1(a833)
        & c3_1(a833) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a865)
        & c2_1(a865)
        & c3_1(a865) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X2] :
          ( c0_1(X2)
          | c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( c1_1(X3)
          | c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c3_1(X5)
          | ~ c0_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 ) )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | hskp26
      | hskp0 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c0_1(X10)
          | ~ c1_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c0_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c1_1(X16)
          | c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | c3_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c2_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | hskp27
      | hskp6 )
    & ( ! [X22] :
          ( c0_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 )
      | hskp7
      | hskp4 )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c2_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X25] :
          ( c0_1(X25)
          | c2_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c2_1(X27)
          | ~ c1_1(X27)
          | ~ c3_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | ~ c0_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | ~ c0_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( c2_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp26
      | hskp28 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp10
      | hskp11 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c3_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c2_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c3_1(X38)
          | ~ c0_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c3_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | c2_1(X41)
          | c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | ~ c1_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c1_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c2_1(X47)
          | ~ c0_1(X47)
          | ~ c1_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c1_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( c3_1(X49)
          | ~ c0_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c1_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp14
      | hskp13 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c1_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp15
      | hskp8 )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c2_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c1_1(X53)
          | ~ c0_1(X53)
          | ~ c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( c1_1(X55)
          | c2_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c1_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c2_1(X67)
          | ~ c0_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c0_1(X69)
          | ~ c1_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp12
      | hskp17 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp3
      | hskp18 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c1_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X76] :
          ( c1_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp21
      | hskp13 )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | hskp14
      | hskp22 )
    & ( ! [X78] :
          ( c2_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X80] :
          ( c2_1(X80)
          | c3_1(X80)
          | ~ c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c0_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X82] :
          ( c2_1(X82)
          | c3_1(X82)
          | ~ c1_1(X82)
          | ~ ndr1_0 )
      | hskp1
      | hskp22 )
    & ( ! [X83] :
          ( c2_1(X83)
          | ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ ndr1_0 )
      | hskp29
      | hskp19 )
    & ( ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X86] :
          ( c3_1(X86)
          | ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ ndr1_0 )
      | hskp14
      | hskp7 )
    & ( ! [X87] :
          ( c3_1(X87)
          | ~ c1_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp14
      | hskp15 )
    & ( ! [X88] :
          ( c3_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X89] :
          ( ~ c0_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | ~ c2_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X91] :
          ( ~ c0_1(X91)
          | ~ c2_1(X91)
          | ~ c3_1(X91)
          | ~ ndr1_0 )
      | hskp23
      | hskp3 )
    & ( hskp28
      | hskp24
      | hskp20 )
    & ( hskp14
      | hskp12
      | hskp11 )
    & ( hskp14
      | hskp24 )
    & ( hskp27
      | hskp18
      | hskp9 )
    & ( hskp27
      | hskp17
      | hskp15 )
    & ( hskp23
      | hskp25
      | hskp5 )
    & ( hskp7
      | hskp5
      | hskp13 )
    & ( hskp13
      | hskp16
      | hskp19 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp13
    | hskp16
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp7
    | hskp5
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp27
    | hskp18
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp14
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X91] :
      ( ~ c0_1(X91)
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | ~ ndr1_0
      | hskp23
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X90,X89] :
      ( ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | ~ c1_1(X90)
      | ~ c2_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X86] :
      ( c3_1(X86)
      | ~ c1_1(X86)
      | ~ c2_1(X86)
      | ~ ndr1_0
      | hskp14
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X84,X85] :
      ( c2_1(X84)
      | ~ c0_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ c3_1(X85)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X83] :
      ( c2_1(X83)
      | ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ ndr1_0
      | hskp29
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X82] :
      ( c2_1(X82)
      | c3_1(X82)
      | ~ c1_1(X82)
      | ~ ndr1_0
      | hskp1
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X80,X81] :
      ( c2_1(X80)
      | c3_1(X80)
      | ~ c1_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X78,X79] :
      ( c2_1(X78)
      | c3_1(X78)
      | ~ c0_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | ~ c1_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X77] :
      ( c1_1(X77)
      | ~ c2_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | hskp14
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X76] :
      ( c1_1(X76)
      | ~ c0_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp21
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | ~ c0_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c1_1(X75)
      | ~ c2_1(X75)
      | ~ c3_1(X75)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | c2_1(X73)
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | c2_1(X66)
      | ~ c0_1(X66)
      | ~ ndr1_0
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c2_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X60] :
      ( c1_1(X60)
      | c2_1(X60)
      | c3_1(X60)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X58,X59] :
      ( c1_1(X58)
      | c2_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | ~ c2_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X56,X57,X55] :
      ( c1_1(X55)
      | c2_1(X55)
      | c3_1(X55)
      | ~ ndr1_0
      | c1_1(X56)
      | c2_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X54,X52,X53] :
      ( c0_1(X52)
      | ~ c2_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | ~ c0_1(X53)
      | ~ c2_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c3_1(X54)
      | ~ c1_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X51] :
      ( c0_1(X51)
      | ~ c1_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0
      | hskp15
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | ~ c1_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | ~ c0_1(X49)
      | ~ c1_1(X49)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X46,X47,X45] :
      ( c0_1(X45)
      | ~ c1_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c2_1(X46)
      | ~ c3_1(X46)
      | ~ ndr1_0
      | c2_1(X47)
      | ~ c0_1(X47)
      | ~ c1_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X40,X41,X42] :
      ( c0_1(X40)
      | c3_1(X40)
      | ~ c2_1(X40)
      | ~ ndr1_0
      | c1_1(X41)
      | c2_1(X41)
      | c3_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | ~ c1_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X39] :
      ( c0_1(X39)
      | c3_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0
      | hskp12
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c3_1(X38)
      | ~ c0_1(X38)
      | ~ c2_1(X38)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | c1_1(X31)
      | ~ c0_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c2_1(X29)
      | ~ c0_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | ~ c1_1(X25)
      | ~ ndr1_0
      | c2_1(X26)
      | ~ c0_1(X26)
      | ~ c3_1(X26)
      | ~ ndr1_0
      | c2_1(X27)
      | ~ c1_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | ~ c1_1(X23)
      | ~ ndr1_0
      | c2_1(X24)
      | c3_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c2_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | c2_1(X20)
      | c3_1(X20)
      | ~ c0_1(X20)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | c1_1(X16)
      | c2_1(X16)
      | ~ c3_1(X16)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | ~ c1_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0
      | c3_1(X11)
      | ~ c0_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X8] :
      ( c0_1(X8)
      | c1_1(X8)
      | c3_1(X8)
      | ~ ndr1_0
      | hskp26
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | c0_1(X7)
      | c1_1(X7)
      | ~ c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X4,X5] :
      ( c0_1(X4)
      | c1_1(X4)
      | c2_1(X4)
      | ~ ndr1_0
      | c3_1(X5)
      | ~ c0_1(X5)
      | ~ c2_1(X5)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X2,X3] :
      ( c0_1(X2)
      | c1_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | c1_1(X3)
      | c2_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ hskp29
    | c3_1(a865) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp29
    | c2_1(a865) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp29
    | c1_1(a865) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp27
    | c3_1(a826) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp27
    | c2_1(a826) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp27
    | c0_1(a826) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp26
    | c2_1(a818) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp26
    | c1_1(a818) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp26
    | c0_1(a818) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp24
    | ~ c3_1(a878) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp24
    | c1_1(a878) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp23
    | ~ c1_1(a862) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp23
    | c3_1(a862) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp23
    | c0_1(a862) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp22
    | ~ c2_1(a860) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp22
    | ~ c1_1(a860) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp22
    | ~ c0_1(a860) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp21
    | ~ c3_1(a857) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp21
    | ~ c2_1(a857) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp21
    | c0_1(a857) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp20
    | ~ c2_1(a856) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp20
    | ~ c1_1(a856) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp20
    | c3_1(a856) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp19
    | ~ c3_1(a855) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp19
    | ~ c1_1(a855) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp19
    | ~ c0_1(a855) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ~ hskp19
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp18
    | ~ c2_1(a854) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp18
    | ~ c0_1(a854) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp18
    | c1_1(a854) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp16
    | ~ c1_1(a848) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp16
    | c3_1(a848) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp16
    | c2_1(a848) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp16
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp15
    | ~ c3_1(a844) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp15
    | ~ c1_1(a844) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp15
    | c2_1(a844) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp14
    | ~ c2_1(a842) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp14
    | c1_1(a842) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp14
    | c0_1(a842) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp13
    | ~ c2_1(a839) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp13
    | c3_1(a839) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp13
    | c1_1(a839) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ hskp13
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp12
    | ~ c3_1(a838) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp12
    | c2_1(a838) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp12
    | c0_1(a838) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp9
    | ~ c1_1(a831) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp9
    | ~ c0_1(a831) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp9
    | c3_1(a831) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp8
    | ~ c3_1(a830) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp8
    | ~ c2_1(a830) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp8
    | ~ c0_1(a830) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp7
    | ~ c2_1(a828) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp7
    | ~ c1_1(a828) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp7
    | c0_1(a828) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp6
    | ~ c0_1(a827) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp6
    | c2_1(a827) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp6
    | c1_1(a827) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp5
    | ~ c0_1(a825) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp5
    | c3_1(a825) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp5
    | c1_1(a825) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp3
    | ~ c3_1(a820) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp3
    | ~ c1_1(a820) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp3
    | c0_1(a820) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp2
    | ~ c3_1(a817) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp2
    | ~ c0_1(a817) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp2
    | c2_1(a817) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp1
    | ~ c2_1(a816) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp1
    | c3_1(a816) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp1
    | c0_1(a816) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp0
    | ~ c3_1(a815) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp0
    | c1_1(a815) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp0
    | c0_1(a815) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ! [X90,X89] :
      ( ~ c0_1(X89)
      | ~ c1_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | ~ c1_1(X90)
      | ~ c2_1(X90)
      | ~ c3_1(X90)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f15]) ).

fof(f187,plain,
    ! [X84,X85] :
      ( c2_1(X84)
      | ~ c0_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ c3_1(X85)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f19]) ).

fof(f188,plain,
    ! [X80,X81] :
      ( c2_1(X80)
      | c3_1(X80)
      | ~ c1_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c0_1(X81)
      | ~ c3_1(X81)
      | hskp23 ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f189,plain,
    ! [X78,X79] :
      ( c2_1(X78)
      | c3_1(X78)
      | ~ c0_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | ~ c1_1(X79)
      | ~ c3_1(X79)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f190,plain,
    ! [X74,X75] :
      ( c1_1(X74)
      | ~ c0_1(X74)
      | ~ c3_1(X74)
      | ~ ndr1_0
      | c1_1(X75)
      | ~ c2_1(X75)
      | ~ c3_1(X75)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f191,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | c2_1(X73)
      | ~ c0_1(X73)
      | ~ c1_1(X73)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f192,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | ~ c0_1(X69)
      | ~ c1_1(X69)
      | ~ c3_1(X69)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f193,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | c2_1(X66)
      | ~ c0_1(X66)
      | ~ ndr1_0
      | c2_1(X67)
      | ~ c0_1(X67)
      | ~ c3_1(X67)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f194,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c2_1(X64)
      | ~ c0_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | ~ c2_1(X65)
      | ~ c3_1(X65)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f196,plain,
    ! [X58,X59] :
      ( c1_1(X58)
      | c2_1(X58)
      | c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | ~ c2_1(X59)
      | ~ c3_1(X59)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f197,plain,
    ! [X56,X57,X55] :
      ( c1_1(X55)
      | c2_1(X55)
      | c3_1(X55)
      | ~ ndr1_0
      | c1_1(X56)
      | c2_1(X56)
      | ~ c0_1(X56)
      | ~ c1_1(X57)
      | ~ c2_1(X57)
      | ~ c3_1(X57) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f198,plain,
    ! [X54,X52,X53] :
      ( c0_1(X52)
      | ~ c2_1(X52)
      | ~ c3_1(X52)
      | ~ ndr1_0
      | c1_1(X53)
      | ~ c0_1(X53)
      | ~ c2_1(X53)
      | c2_1(X54)
      | c3_1(X54)
      | ~ c1_1(X54) ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f199,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | ~ c1_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | c3_1(X49)
      | ~ c0_1(X49)
      | ~ c1_1(X49)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f200,plain,
    ! [X46,X47,X45] :
      ( c0_1(X45)
      | ~ c1_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c2_1(X46)
      | ~ c3_1(X46)
      | c2_1(X47)
      | ~ c0_1(X47)
      | ~ c1_1(X47) ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f202,plain,
    ! [X40,X41,X42] :
      ( c0_1(X40)
      | c3_1(X40)
      | ~ c2_1(X40)
      | ~ ndr1_0
      | c1_1(X41)
      | c2_1(X41)
      | c3_1(X41)
      | c3_1(X42)
      | ~ c1_1(X42)
      | ~ c2_1(X42) ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f203,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | c3_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | c3_1(X38)
      | ~ c0_1(X38)
      | ~ c2_1(X38)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f205,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0
      | c1_1(X31)
      | ~ c0_1(X31)
      | ~ c3_1(X31)
      | c2_1(X32)
      | ~ c1_1(X32)
      | ~ c3_1(X32) ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f206,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | c2_1(X29)
      | ~ c0_1(X29)
      | ~ c3_1(X29)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f50]) ).

fof(f207,plain,
    ! [X26,X27,X25] :
      ( c0_1(X25)
      | c2_1(X25)
      | ~ c1_1(X25)
      | ~ ndr1_0
      | c2_1(X26)
      | ~ c0_1(X26)
      | ~ c3_1(X26)
      | c2_1(X27)
      | ~ c1_1(X27)
      | ~ c3_1(X27) ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f208,plain,
    ! [X24,X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | ~ c1_1(X23)
      | ~ ndr1_0
      | c2_1(X24)
      | c3_1(X24)
      | ~ c0_1(X24)
      | hskp8 ),
    inference(duplicate_literal_removal,[],[f52]) ).

fof(f209,plain,
    ! [X19,X20] :
      ( c0_1(X19)
      | c2_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | c2_1(X20)
      | c3_1(X20)
      | ~ c0_1(X20)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f211,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c3_1(X15)
      | ~ ndr1_0
      | c1_1(X16)
      | c2_1(X16)
      | ~ c3_1(X16)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f212,plain,
    ! [X14,X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0
      | c0_1(X14)
      | ~ c1_1(X14)
      | ~ c2_1(X14)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f213,plain,
    ! [X10,X11,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | ~ c2_1(X9)
      | ~ ndr1_0
      | c0_1(X10)
      | ~ c1_1(X10)
      | ~ c3_1(X10)
      | c3_1(X11)
      | ~ c0_1(X11)
      | ~ c1_1(X11) ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f214,plain,
    ! [X6,X7] :
      ( c0_1(X6)
      | c1_1(X6)
      | c3_1(X6)
      | ~ ndr1_0
      | c0_1(X7)
      | c1_1(X7)
      | ~ c3_1(X7) ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f215,plain,
    ! [X4,X5] :
      ( c0_1(X4)
      | c1_1(X4)
      | c2_1(X4)
      | ~ ndr1_0
      | c3_1(X5)
      | ~ c0_1(X5)
      | ~ c2_1(X5)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f216,plain,
    ! [X2,X3] :
      ( c0_1(X2)
      | c1_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | c1_1(X3)
      | c2_1(X3)
      | ~ c0_1(X3)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c1_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f219,definition,
    ( spl0_1
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f222,definition,
    ( spl0_2
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f225,definition,
    ( spl0_3
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

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

fof(f229,definition,
    ( spl0_4
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f232,definition,
    ( spl0_5
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f234,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f232,f229,f225]) ).

fof(f239,definition,
    ( spl0_7
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

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

fof(f249,definition,
    ( spl0_10
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f253,definition,
    ( spl0_11
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f256,definition,
    ( spl0_12
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f258,plain,
    ( spl0_11
    | spl0_12
    | spl0_10 ),
    inference(avatar_split_clause,[],[f10,f249,f256,f253]) ).

fof(f260,definition,
    ( spl0_13
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f263,definition,
    ( spl0_14
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f265,plain,
    ( spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f11,f263,f260]) ).

fof(f270,definition,
    ( spl0_16
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f274,definition,
    ( spl0_17
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f281,definition,
    ( spl0_19
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f284,definition,
    ( spl0_20
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f287,definition,
    ( spl0_21
  <=> ! [X91] :
        ( ~ c0_1(X91)
        | ~ c3_1(X91)
        | ~ c2_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f288,plain,
    ( ! [X91] :
        ( ~ c2_1(X91)
        | ~ c3_1(X91)
        | ~ c0_1(X91) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f289,plain,
    ( spl0_19
    | spl0_7
    | ~ spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f14,f287,f284,f239,f281]) ).

fof(f291,definition,
    ( spl0_22
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f294,definition,
    ( spl0_23
  <=> ! [X90] :
        ( ~ c1_1(X90)
        | ~ c3_1(X90)
        | ~ c2_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f295,plain,
    ( ! [X90] :
        ( ~ c2_1(X90)
        | ~ c3_1(X90)
        | ~ c1_1(X90) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f297,definition,
    ( spl0_24
  <=> ! [X89] :
        ( ~ c0_1(X89)
        | ~ c3_1(X89)
        | ~ c1_1(X89) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f298,plain,
    ( ! [X89] :
        ( ~ c0_1(X89)
        | ~ c3_1(X89)
        | ~ c1_1(X89) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f299,plain,
    ( spl0_22
    | spl0_23
    | ~ spl0_20
    | spl0_24 ),
    inference(avatar_split_clause,[],[f186,f297,f284,f294,f291]) ).

fof(f301,definition,
    ( spl0_25
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f304,definition,
    ( spl0_26
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f307,definition,
    ( spl0_27
  <=> ! [X88] :
        ( c3_1(X88)
        | ~ c2_1(X88)
        | ~ c1_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f308,plain,
    ( ! [X88] :
        ( ~ c2_1(X88)
        | c3_1(X88)
        | ~ c1_1(X88) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f311,plain,
    ( spl0_5
    | spl0_14
    | ~ spl0_20
    | spl0_27 ),
    inference(avatar_split_clause,[],[f18,f307,f284,f263,f232]) ).

fof(f313,definition,
    ( spl0_28
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f316,definition,
    ( spl0_29
  <=> ! [X84] :
        ( c2_1(X84)
        | ~ c3_1(X84)
        | ~ c0_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f317,plain,
    ( ! [X84] :
        ( c2_1(X84)
        | ~ c3_1(X84)
        | ~ c0_1(X84) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f318,plain,
    ( spl0_28
    | spl0_24
    | ~ spl0_20
    | spl0_29 ),
    inference(avatar_split_clause,[],[f187,f316,f284,f297,f313]) ).

fof(f320,definition,
    ( spl0_30
  <=> ! [X83] :
        ( c2_1(X83)
        | ~ c1_1(X83)
        | ~ c0_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f321,plain,
    ( ! [X83] :
        ( c2_1(X83)
        | ~ c1_1(X83)
        | ~ c0_1(X83) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f322,plain,
    ( spl0_1
    | spl0_28
    | ~ spl0_20
    | spl0_30 ),
    inference(avatar_split_clause,[],[f20,f320,f284,f313,f219]) ).

fof(f324,definition,
    ( spl0_31
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f327,definition,
    ( spl0_32
  <=> ! [X82] :
        ( c2_1(X82)
        | ~ c1_1(X82)
        | c3_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f328,plain,
    ( ! [X82] :
        ( c2_1(X82)
        | ~ c1_1(X82)
        | c3_1(X82) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f329,plain,
    ( spl0_31
    | spl0_26
    | ~ spl0_20
    | spl0_32 ),
    inference(avatar_split_clause,[],[f21,f327,f284,f304,f324]) ).

fof(f330,plain,
    ( spl0_7
    | spl0_29
    | ~ spl0_20
    | spl0_32 ),
    inference(avatar_split_clause,[],[f188,f327,f284,f316,f239]) ).

fof(f332,definition,
    ( spl0_33
  <=> ! [X78] :
        ( c2_1(X78)
        | ~ c0_1(X78)
        | c3_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f333,plain,
    ( ! [X78] :
        ( c2_1(X78)
        | ~ c0_1(X78)
        | c3_1(X78) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f334,plain,
    ( spl0_8
    | spl0_24
    | ~ spl0_20
    | spl0_33 ),
    inference(avatar_split_clause,[],[f189,f332,f284,f297,f243]) ).

fof(f336,definition,
    ( spl0_34
  <=> ! [X77] :
        ( c1_1(X77)
        | ~ c3_1(X77)
        | ~ c2_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f337,plain,
    ( ! [X77] :
        ( ~ c2_1(X77)
        | ~ c3_1(X77)
        | c1_1(X77) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f338,plain,
    ( spl0_31
    | spl0_14
    | ~ spl0_20
    | spl0_34 ),
    inference(avatar_split_clause,[],[f24,f336,f284,f263,f324]) ).

fof(f340,definition,
    ( spl0_35
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f343,definition,
    ( spl0_36
  <=> ! [X76] :
        ( c1_1(X76)
        | ~ c3_1(X76)
        | ~ c0_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f344,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | ~ c3_1(X76)
        | c1_1(X76) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f345,plain,
    ( spl0_3
    | spl0_35
    | ~ spl0_20
    | spl0_36 ),
    inference(avatar_split_clause,[],[f25,f343,f284,f340,f225]) ).

fof(f346,plain,
    ( spl0_17
    | spl0_34
    | ~ spl0_20
    | spl0_36 ),
    inference(avatar_split_clause,[],[f190,f343,f284,f336,f274]) ).

fof(f348,definition,
    ( spl0_37
  <=> ! [X72] :
        ( c1_1(X72)
        | ~ c2_1(X72)
        | ~ c0_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f349,plain,
    ( ! [X72] :
        ( ~ c2_1(X72)
        | c1_1(X72)
        | ~ c0_1(X72) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f350,plain,
    ( spl0_1
    | spl0_30
    | ~ spl0_20
    | spl0_37 ),
    inference(avatar_split_clause,[],[f191,f348,f284,f320,f219]) ).

fof(f352,definition,
    ( spl0_38
  <=> ! [X71] :
        ( c1_1(X71)
        | ~ c0_1(X71)
        | c3_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f353,plain,
    ( ! [X71] :
        ( ~ c0_1(X71)
        | c1_1(X71)
        | c3_1(X71) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f357,definition,
    ( spl0_39
  <=> ! [X68] :
        ( c1_1(X68)
        | ~ c3_1(X68)
        | c2_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f358,plain,
    ( ! [X68] :
        ( c2_1(X68)
        | ~ c3_1(X68)
        | c1_1(X68) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f359,plain,
    ( spl0_19
    | spl0_24
    | ~ spl0_20
    | spl0_39 ),
    inference(avatar_split_clause,[],[f192,f357,f284,f297,f281]) ).

fof(f361,definition,
    ( spl0_40
  <=> ! [X66] :
        ( c1_1(X66)
        | ~ c0_1(X66)
        | c2_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f362,plain,
    ( ! [X66] :
        ( c2_1(X66)
        | ~ c0_1(X66)
        | c1_1(X66) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f363,plain,
    ( spl0_11
    | spl0_29
    | ~ spl0_20
    | spl0_40 ),
    inference(avatar_split_clause,[],[f193,f361,f284,f316,f253]) ).

fof(f364,plain,
    ( spl0_2
    | spl0_34
    | ~ spl0_20
    | spl0_40 ),
    inference(avatar_split_clause,[],[f194,f361,f284,f336,f222]) ).

fof(f367,definition,
    ( spl0_41
  <=> ! [X60] :
        ( c1_1(X60)
        | c3_1(X60)
        | c2_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f368,plain,
    ( ! [X60] :
        ( c2_1(X60)
        | c3_1(X60)
        | c1_1(X60) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f369,plain,
    ( spl0_10
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f34,f367,f284,f249]) ).

fof(f371,definition,
    ( spl0_42
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f373,plain,
    ( spl0_42
    | spl0_34
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f196,f367,f284,f336,f371]) ).

fof(f374,plain,
    ( spl0_23
    | spl0_40
    | ~ spl0_20
    | spl0_41 ),
    inference(avatar_split_clause,[],[f197,f367,f284,f361,f294]) ).

fof(f376,definition,
    ( spl0_43
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c3_1(X52)
        | ~ c2_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f377,plain,
    ( ! [X52] :
        ( ~ c2_1(X52)
        | ~ c3_1(X52)
        | c0_1(X52) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f378,plain,
    ( spl0_32
    | spl0_37
    | ~ spl0_20
    | spl0_43 ),
    inference(avatar_split_clause,[],[f198,f376,f284,f348,f327]) ).

fof(f380,definition,
    ( spl0_44
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | ~ c1_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | ~ c1_1(X51) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f382,plain,
    ( spl0_22
    | spl0_8
    | ~ spl0_20
    | spl0_44 ),
    inference(avatar_split_clause,[],[f38,f380,f284,f243,f291]) ).

fof(f385,definition,
    ( spl0_45
  <=> ! [X49] :
        ( c3_1(X49)
        | ~ c1_1(X49)
        | ~ c0_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f386,plain,
    ( ! [X49] :
        ( ~ c0_1(X49)
        | ~ c1_1(X49)
        | c3_1(X49) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f387,plain,
    ( spl0_11
    | spl0_45
    | ~ spl0_20
    | spl0_44 ),
    inference(avatar_split_clause,[],[f199,f380,f284,f385,f253]) ).

fof(f389,definition,
    ( spl0_46
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c2_1(X45)
        | ~ c1_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X45] :
        ( ~ c2_1(X45)
        | c0_1(X45)
        | ~ c1_1(X45) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f391,plain,
    ( spl0_30
    | spl0_39
    | ~ spl0_20
    | spl0_46 ),
    inference(avatar_split_clause,[],[f200,f389,f284,f357,f320]) ).

fof(f396,definition,
    ( spl0_48
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c2_1(X43)
        | c3_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f397,plain,
    ( ! [X43] :
        ( ~ c2_1(X43)
        | c0_1(X43)
        | c3_1(X43) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f399,plain,
    ( spl0_27
    | spl0_41
    | ~ spl0_20
    | spl0_48 ),
    inference(avatar_split_clause,[],[f202,f396,f284,f367,f307]) ).

fof(f401,definition,
    ( spl0_49
  <=> ! [X39] :
        ( c0_1(X39)
        | ~ c1_1(X39)
        | c3_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X39] :
        ( c0_1(X39)
        | ~ c1_1(X39)
        | c3_1(X39) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f403,plain,
    ( spl0_3
    | spl0_16
    | ~ spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f44,f401,f284,f270,f225]) ).

fof(f405,definition,
    ( spl0_50
  <=> ! [X38] :
        ( c3_1(X38)
        | ~ c2_1(X38)
        | ~ c0_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f406,plain,
    ( ! [X38] :
        ( ~ c2_1(X38)
        | c3_1(X38)
        | ~ c0_1(X38) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f407,plain,
    ( spl0_42
    | spl0_50
    | ~ spl0_20
    | spl0_49 ),
    inference(avatar_split_clause,[],[f203,f401,f284,f405,f371]) ).

fof(f409,definition,
    ( spl0_51
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f416,definition,
    ( spl0_53
  <=> ! [X34] :
        ( c0_1(X34)
        | ~ c3_1(X34)
        | c2_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f417,plain,
    ( ! [X34] :
        ( c2_1(X34)
        | ~ c3_1(X34)
        | c0_1(X34) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f421,definition,
    ( spl0_54
  <=> ! [X32] :
        ( c2_1(X32)
        | ~ c3_1(X32)
        | ~ c1_1(X32) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X32] :
        ( c2_1(X32)
        | ~ c3_1(X32)
        | ~ c1_1(X32) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( spl0_54
    | spl0_36
    | ~ spl0_20
    | spl0_53 ),
    inference(avatar_split_clause,[],[f205,f416,f284,f343,f421]) ).

fof(f425,definition,
    ( spl0_55
  <=> ! [X28] :
        ( c0_1(X28)
        | ~ c1_1(X28)
        | c2_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X28] :
        ( c2_1(X28)
        | ~ c1_1(X28)
        | c0_1(X28) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f427,plain,
    ( spl0_11
    | spl0_29
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f206,f425,f284,f316,f253]) ).

fof(f428,plain,
    ( spl0_54
    | spl0_29
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f207,f425,f284,f316,f421]) ).

fof(f429,plain,
    ( spl0_22
    | spl0_33
    | ~ spl0_20
    | spl0_55 ),
    inference(avatar_split_clause,[],[f208,f425,f284,f332,f291]) ).

fof(f434,definition,
    ( spl0_57
  <=> ! [X22] :
        ( c0_1(X22)
        | c3_1(X22)
        | c2_1(X22) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f435,plain,
    ( ! [X22] :
        ( c2_1(X22)
        | c3_1(X22)
        | c0_1(X22) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f438,plain,
    ( spl0_4
    | spl0_33
    | ~ spl0_20
    | spl0_57 ),
    inference(avatar_split_clause,[],[f209,f434,f284,f332,f229]) ).

fof(f441,definition,
    ( spl0_58
  <=> ! [X15] :
        ( c0_1(X15)
        | ~ c3_1(X15)
        | c1_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f442,plain,
    ( ! [X15] :
        ( c0_1(X15)
        | ~ c3_1(X15)
        | c1_1(X15) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f443,plain,
    ( spl0_25
    | spl0_39
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f211,f441,f284,f357,f301]) ).

fof(f444,plain,
    ( spl0_19
    | spl0_46
    | ~ spl0_20
    | spl0_58 ),
    inference(avatar_split_clause,[],[f212,f441,f284,f389,f281]) ).

fof(f446,definition,
    ( spl0_59
  <=> ! [X12] :
        ( c0_1(X12)
        | ~ c2_1(X12)
        | c1_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X12] :
        ( ~ c2_1(X12)
        | c0_1(X12)
        | c1_1(X12) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f449,plain,
    ( spl0_45
    | spl0_44
    | ~ spl0_20
    | spl0_59 ),
    inference(avatar_split_clause,[],[f213,f446,f284,f380,f385]) ).

fof(f451,definition,
    ( spl0_60
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f454,definition,
    ( spl0_61
  <=> ! [X8] :
        ( c0_1(X8)
        | c3_1(X8)
        | c1_1(X8) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X8] :
        ( c0_1(X8)
        | c3_1(X8)
        | c1_1(X8) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f456,plain,
    ( spl0_60
    | spl0_51
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f61,f454,f284,f409,f451]) ).

fof(f457,plain,
    ( spl0_58
    | ~ spl0_20
    | spl0_61 ),
    inference(avatar_split_clause,[],[f214,f454,f284,f441]) ).

fof(f459,definition,
    ( spl0_62
  <=> ! [X4] :
        ( c0_1(X4)
        | c2_1(X4)
        | c1_1(X4) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f460,plain,
    ( ! [X4] :
        ( c2_1(X4)
        | c0_1(X4)
        | c1_1(X4) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f461,plain,
    ( spl0_25
    | spl0_50
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f215,f459,f284,f405,f301]) ).

fof(f462,plain,
    ( spl0_26
    | spl0_40
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f216,f459,f284,f361,f304]) ).

fof(f463,plain,
    ( spl0_60
    | spl0_41
    | ~ spl0_20
    | spl0_62 ),
    inference(avatar_split_clause,[],[f217,f459,f284,f367,f451]) ).

fof(f465,definition,
    ( spl0_63
  <=> c3_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f468,plain,
    ( spl0_63
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f66,f313,f465]) ).

fof(f470,definition,
    ( spl0_64
  <=> c2_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f471,plain,
    ( c2_1(a865)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f472,plain,
    ( spl0_64
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f67,f313,f470]) ).

fof(f474,definition,
    ( spl0_65
  <=> c1_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f476,plain,
    ( spl0_65
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f68,f313,f474]) ).

fof(f494,definition,
    ( spl0_69
  <=> c3_1(a826) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f497,plain,
    ( spl0_69
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f74,f249,f494]) ).

fof(f499,definition,
    ( spl0_70
  <=> c2_1(a826) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f500,plain,
    ( c2_1(a826)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f501,plain,
    ( spl0_70
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f75,f249,f499]) ).

fof(f503,definition,
    ( spl0_71
  <=> c0_1(a826) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f504,plain,
    ( c0_1(a826)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f505,plain,
    ( spl0_71
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f76,f249,f503]) ).

fof(f508,definition,
    ( spl0_72
  <=> c2_1(a818) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f509,plain,
    ( c2_1(a818)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f511,plain,
    ( spl0_72
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f78,f409,f508]) ).

fof(f513,definition,
    ( spl0_73
  <=> c1_1(a818) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f515,plain,
    ( spl0_73
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f79,f409,f513]) ).

fof(f517,definition,
    ( spl0_74
  <=> c0_1(a818) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f518,plain,
    ( c0_1(a818)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f519,plain,
    ( spl0_74
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f80,f409,f517]) ).

fof(f536,definition,
    ( spl0_78
  <=> c3_1(a878) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f537,plain,
    ( ~ c3_1(a878)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f539,plain,
    ( ~ spl0_78
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f86,f260,f536]) ).

fof(f545,definition,
    ( spl0_80
  <=> c1_1(a878) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f546,plain,
    ( c1_1(a878)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f547,plain,
    ( spl0_80
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f88,f260,f545]) ).

fof(f550,definition,
    ( spl0_81
  <=> c1_1(a862) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f553,plain,
    ( ~ spl0_81
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f90,f239,f550]) ).

fof(f555,definition,
    ( spl0_82
  <=> c3_1(a862) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f557,plain,
    ( spl0_82
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f91,f239,f555]) ).

fof(f559,definition,
    ( spl0_83
  <=> c0_1(a862) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f560,plain,
    ( c0_1(a862)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( spl0_83
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f92,f239,f559]) ).

fof(f564,definition,
    ( spl0_84
  <=> c2_1(a860) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f565,plain,
    ( ~ c2_1(a860)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f567,plain,
    ( ~ spl0_84
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f94,f324,f564]) ).

fof(f569,definition,
    ( spl0_85
  <=> c1_1(a860) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f571,plain,
    ( ~ spl0_85
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f95,f324,f569]) ).

fof(f573,definition,
    ( spl0_86
  <=> c0_1(a860) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f574,plain,
    ( ~ c0_1(a860)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f575,plain,
    ( ~ spl0_86
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f96,f324,f573]) ).

fof(f578,definition,
    ( spl0_87
  <=> c3_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f581,plain,
    ( ~ spl0_87
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f98,f340,f578]) ).

fof(f583,definition,
    ( spl0_88
  <=> c2_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f584,plain,
    ( ~ c2_1(a857)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f585,plain,
    ( ~ spl0_88
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f99,f340,f583]) ).

fof(f587,definition,
    ( spl0_89
  <=> c0_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f589,plain,
    ( spl0_89
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f100,f340,f587]) ).

fof(f592,definition,
    ( spl0_90
  <=> c2_1(a856) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f593,plain,
    ( ~ c2_1(a856)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f595,plain,
    ( ~ spl0_90
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f102,f274,f592]) ).

fof(f597,definition,
    ( spl0_91
  <=> c1_1(a856) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ spl0_91
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f103,f274,f597]) ).

fof(f601,definition,
    ( spl0_92
  <=> c3_1(a856) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f603,plain,
    ( spl0_92
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f104,f274,f601]) ).

fof(f606,definition,
    ( spl0_93
  <=> c3_1(a855) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ spl0_93
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f106,f219,f606]) ).

fof(f611,definition,
    ( spl0_94
  <=> c1_1(a855) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f613,plain,
    ( ~ spl0_94
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f107,f219,f611]) ).

fof(f615,definition,
    ( spl0_95
  <=> c0_1(a855) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f616,plain,
    ( ~ c0_1(a855)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f617,plain,
    ( ~ spl0_95
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f108,f219,f615]) ).

fof(f618,plain,
    ( spl0_20
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f109,f219,f284]) ).

fof(f620,definition,
    ( spl0_96
  <=> c2_1(a854) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ c2_1(a854)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f620]) ).

fof(f623,plain,
    ( ~ spl0_96
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f110,f256,f620]) ).

fof(f625,definition,
    ( spl0_97
  <=> c0_1(a854) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f626,plain,
    ( ~ c0_1(a854)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f627,plain,
    ( ~ spl0_97
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f111,f256,f625]) ).

fof(f629,definition,
    ( spl0_98
  <=> c1_1(a854) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f631,plain,
    ( spl0_98
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f112,f256,f629]) ).

fof(f648,definition,
    ( spl0_102
  <=> c1_1(a848) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f651,plain,
    ( ~ spl0_102
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f118,f222,f648]) ).

fof(f653,definition,
    ( spl0_103
  <=> c3_1(a848) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f655,plain,
    ( spl0_103
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f119,f222,f653]) ).

fof(f657,definition,
    ( spl0_104
  <=> c2_1(a848) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f658,plain,
    ( c2_1(a848)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f659,plain,
    ( spl0_104
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f120,f222,f657]) ).

fof(f660,plain,
    ( spl0_20
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f121,f222,f284]) ).

fof(f662,definition,
    ( spl0_105
  <=> c3_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

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

fof(f667,definition,
    ( spl0_106
  <=> c1_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

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

fof(f671,definition,
    ( spl0_107
  <=> c2_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f672,plain,
    ( c2_1(a844)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f671]) ).

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

fof(f676,definition,
    ( spl0_108
  <=> c2_1(a842) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ c2_1(a842)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f676]) ).

fof(f679,plain,
    ( ~ spl0_108
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f126,f263,f676]) ).

fof(f681,definition,
    ( spl0_109
  <=> c1_1(a842) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f683,plain,
    ( spl0_109
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f127,f263,f681]) ).

fof(f685,definition,
    ( spl0_110
  <=> c0_1(a842) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f686,plain,
    ( c0_1(a842)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f685]) ).

fof(f687,plain,
    ( spl0_110
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f128,f263,f685]) ).

fof(f690,definition,
    ( spl0_111
  <=> c2_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f691,plain,
    ( ~ c2_1(a839)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f690]) ).

fof(f693,plain,
    ( ~ spl0_111
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f130,f225,f690]) ).

fof(f695,definition,
    ( spl0_112
  <=> c3_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f697,plain,
    ( spl0_112
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f131,f225,f695]) ).

fof(f699,definition,
    ( spl0_113
  <=> c1_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f701,plain,
    ( spl0_113
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f132,f225,f699]) ).

fof(f702,plain,
    ( spl0_20
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f133,f225,f284]) ).

fof(f704,definition,
    ( spl0_114
  <=> c3_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f707,plain,
    ( ~ spl0_114
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f134,f270,f704]) ).

fof(f709,definition,
    ( spl0_115
  <=> c2_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f710,plain,
    ( c2_1(a838)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f711,plain,
    ( spl0_115
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f135,f270,f709]) ).

fof(f713,definition,
    ( spl0_116
  <=> c0_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f715,plain,
    ( spl0_116
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f136,f270,f713]) ).

fof(f746,definition,
    ( spl0_123
  <=> c1_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ spl0_123
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f146,f253,f746]) ).

fof(f751,definition,
    ( spl0_124
  <=> c0_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f752,plain,
    ( ~ c0_1(a831)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f753,plain,
    ( ~ spl0_124
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f147,f253,f751]) ).

fof(f755,definition,
    ( spl0_125
  <=> c3_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f757,plain,
    ( spl0_125
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f148,f253,f755]) ).

fof(f760,definition,
    ( spl0_126
  <=> c3_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f763,plain,
    ( ~ spl0_126
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f150,f291,f760]) ).

fof(f765,definition,
    ( spl0_127
  <=> c2_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f766,plain,
    ( ~ c2_1(a830)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f765]) ).

fof(f767,plain,
    ( ~ spl0_127
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f151,f291,f765]) ).

fof(f769,definition,
    ( spl0_128
  <=> c0_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f770,plain,
    ( ~ c0_1(a830)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f771,plain,
    ( ~ spl0_128
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f152,f291,f769]) ).

fof(f774,definition,
    ( spl0_129
  <=> c2_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f775,plain,
    ( ~ c2_1(a828)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f777,plain,
    ( ~ spl0_129
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f154,f232,f774]) ).

fof(f779,definition,
    ( spl0_130
  <=> c1_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f781,plain,
    ( ~ spl0_130
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f155,f232,f779]) ).

fof(f783,definition,
    ( spl0_131
  <=> c0_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f784,plain,
    ( c0_1(a828)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f785,plain,
    ( spl0_131
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f156,f232,f783]) ).

fof(f788,definition,
    ( spl0_132
  <=> c0_1(a827) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f789,plain,
    ( ~ c0_1(a827)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f791,plain,
    ( ~ spl0_132
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f158,f371,f788]) ).

fof(f793,definition,
    ( spl0_133
  <=> c2_1(a827) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f794,plain,
    ( c2_1(a827)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f793]) ).

fof(f795,plain,
    ( spl0_133
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f159,f371,f793]) ).

fof(f797,definition,
    ( spl0_134
  <=> c1_1(a827) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f799,plain,
    ( spl0_134
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f160,f371,f797]) ).

fof(f802,definition,
    ( spl0_135
  <=> c0_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f803,plain,
    ( ~ c0_1(a825)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f805,plain,
    ( ~ spl0_135
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f162,f229,f802]) ).

fof(f807,definition,
    ( spl0_136
  <=> c3_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f809,plain,
    ( spl0_136
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f163,f229,f807]) ).

fof(f811,definition,
    ( spl0_137
  <=> c1_1(a825) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f813,plain,
    ( spl0_137
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f164,f229,f811]) ).

fof(f830,definition,
    ( spl0_141
  <=> c3_1(a820) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f833,plain,
    ( ~ spl0_141
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f170,f281,f830]) ).

fof(f835,definition,
    ( spl0_142
  <=> c1_1(a820) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f837,plain,
    ( ~ spl0_142
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f171,f281,f835]) ).

fof(f839,definition,
    ( spl0_143
  <=> c0_1(a820) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f840,plain,
    ( c0_1(a820)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f841,plain,
    ( spl0_143
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f172,f281,f839]) ).

fof(f844,definition,
    ( spl0_144
  <=> c3_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f847,plain,
    ( ~ spl0_144
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f174,f301,f844]) ).

fof(f849,definition,
    ( spl0_145
  <=> c0_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f850,plain,
    ( ~ c0_1(a817)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f849]) ).

fof(f851,plain,
    ( ~ spl0_145
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f175,f301,f849]) ).

fof(f853,definition,
    ( spl0_146
  <=> c2_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f854,plain,
    ( c2_1(a817)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f855,plain,
    ( spl0_146
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f176,f301,f853]) ).

fof(f858,definition,
    ( spl0_147
  <=> c2_1(a816) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f859,plain,
    ( ~ c2_1(a816)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f861,plain,
    ( ~ spl0_147
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f178,f304,f858]) ).

fof(f863,definition,
    ( spl0_148
  <=> c3_1(a816) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f865,plain,
    ( spl0_148
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f179,f304,f863]) ).

fof(f867,definition,
    ( spl0_149
  <=> c0_1(a816) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f869,plain,
    ( spl0_149
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f180,f304,f867]) ).

fof(f872,definition,
    ( spl0_150
  <=> c3_1(a815) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f875,plain,
    ( ~ spl0_150
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f182,f451,f872]) ).

fof(f877,definition,
    ( spl0_151
  <=> c1_1(a815) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f879,plain,
    ( spl0_151
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f183,f451,f877]) ).

fof(f881,definition,
    ( spl0_152
  <=> c0_1(a815) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f882,plain,
    ( c0_1(a815)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f883,plain,
    ( spl0_152
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f184,f451,f881]) ).

fof(f885,plain,
    ( ~ c3_1(a826)
    | ~ c0_1(a826)
    | ~ spl0_21
    | ~ spl0_70 ),
    inference(resolution,[],[f288,f500]) ).

fof(f889,plain,
    ( ~ spl0_71
    | ~ spl0_69
    | ~ spl0_21
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f885,f499,f287,f494,f503]) ).

fof(f890,plain,
    ( ~ c3_1(a842)
    | ~ c1_1(a842)
    | ~ spl0_24
    | ~ spl0_110 ),
    inference(resolution,[],[f298,f686]) ).

fof(f892,plain,
    ( ~ c3_1(a826)
    | ~ c1_1(a826)
    | ~ spl0_24
    | ~ spl0_71 ),
    inference(resolution,[],[f298,f504]) ).

fof(f898,definition,
    ( spl0_153
  <=> c1_1(a826) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f903,definition,
    ( spl0_154
  <=> c3_1(a842) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ spl0_109
    | ~ spl0_154
    | ~ spl0_24
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f890,f685,f297,f903,f681]) ).

fof(f914,plain,
    ( ~ c3_1(a842)
    | ~ c0_1(a842)
    | ~ spl0_29
    | spl0_108 ),
    inference(resolution,[],[f317,f677]) ).

fof(f918,definition,
    ( spl0_155
  <=> c0_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f919,plain,
    ( ~ c0_1(a839)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f922,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(resolution,[],[f321,f308]) ).

fof(f924,plain,
    ( ~ c1_1(a839)
    | ~ c0_1(a839)
    | ~ spl0_30
    | spl0_111 ),
    inference(resolution,[],[f321,f691]) ).

fof(f926,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(duplicate_literal_removal,[],[f922]) ).

fof(f929,plain,
    ( ~ spl0_155
    | ~ spl0_113
    | ~ spl0_30
    | spl0_111 ),
    inference(avatar_split_clause,[],[f924,f690,f320,f699,f918]) ).

fof(f930,plain,
    ( spl0_45
    | ~ spl0_27
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f926,f320,f307,f385]) ).

fof(f932,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(resolution,[],[f328,f308]) ).

fof(f936,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_27
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f932]) ).

fof(f941,definition,
    ( spl0_156
  <=> c1_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f944,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(resolution,[],[f333,f308]) ).

fof(f947,plain,
    ( ~ c0_1(a842)
    | c3_1(a842)
    | ~ spl0_33
    | spl0_108 ),
    inference(resolution,[],[f333,f677]) ).

fof(f948,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f944]) ).

fof(f949,plain,
    ( spl0_154
    | ~ spl0_110
    | ~ spl0_33
    | spl0_108 ),
    inference(avatar_split_clause,[],[f947,f676,f332,f685,f903]) ).

fof(f950,plain,
    ( spl0_45
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f948,f332,f307,f385]) ).

fof(f959,plain,
    ( ~ c3_1(a862)
    | c1_1(a862)
    | ~ spl0_36
    | ~ spl0_83 ),
    inference(resolution,[],[f344,f560]) ).

fof(f960,plain,
    ( ~ c3_1(a826)
    | c1_1(a826)
    | ~ spl0_36
    | ~ spl0_71 ),
    inference(resolution,[],[f344,f504]) ).

fof(f969,plain,
    ( ~ c1_1(a854)
    | c3_1(a854)
    | ~ spl0_32
    | spl0_96 ),
    inference(resolution,[],[f621,f328]) ).

fof(f971,definition,
    ( spl0_157
  <=> c3_1(a854) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f974,plain,
    ( spl0_157
    | ~ spl0_98
    | ~ spl0_32
    | spl0_96 ),
    inference(avatar_split_clause,[],[f969,f620,f327,f629,f971]) ).

fof(f992,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(resolution,[],[f349,f333]) ).

fof(f994,plain,
    ( c1_1(a844)
    | ~ c0_1(a844)
    | ~ spl0_37
    | ~ spl0_107 ),
    inference(resolution,[],[f349,f672]) ).

fof(f996,plain,
    ( c1_1(a826)
    | ~ c0_1(a826)
    | ~ spl0_37
    | ~ spl0_70 ),
    inference(resolution,[],[f349,f500]) ).

fof(f998,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f992]) ).

fof(f999,plain,
    ( ~ spl0_71
    | spl0_153
    | ~ spl0_37
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f996,f499,f348,f898,f503]) ).

fof(f1005,definition,
    ( spl0_160
  <=> c0_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1006,plain,
    ( ~ c0_1(a844)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1009,plain,
    ( spl0_38
    | ~ spl0_33
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f998,f348,f332,f352]) ).

fof(f1013,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_39 ),
    inference(resolution,[],[f358,f349]) ).

fof(f1021,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f1013]) ).

fof(f1022,plain,
    ( spl0_36
    | ~ spl0_37
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f1021,f357,f348,f343]) ).

fof(f1023,plain,
    ( c1_1(a820)
    | c3_1(a820)
    | ~ spl0_38
    | ~ spl0_143 ),
    inference(resolution,[],[f840,f353]) ).

fof(f1026,plain,
    ( spl0_141
    | spl0_142
    | ~ spl0_38
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1023,f839,f352,f835,f830]) ).

fof(f1034,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_34
    | ~ spl0_40 ),
    inference(resolution,[],[f362,f337]) ).

fof(f1040,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_34
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f1034]) ).

fof(f1041,plain,
    ( spl0_36
    | ~ spl0_34
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1040,f361,f336,f343]) ).

fof(f1060,plain,
    ( ~ c3_1(a826)
    | ~ c1_1(a826)
    | ~ spl0_23
    | ~ spl0_70 ),
    inference(resolution,[],[f295,f500]) ).

fof(f1061,plain,
    ( ~ c3_1(a865)
    | ~ c1_1(a865)
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(resolution,[],[f295,f471]) ).

fof(f1067,plain,
    ( ~ spl0_153
    | ~ spl0_69
    | ~ spl0_23
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1060,f499,f294,f494,f898]) ).

fof(f1073,definition,
    ( spl0_161
  <=> c0_1(a856) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1074,plain,
    ( ~ c0_1(a856)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f1079,plain,
    ( ~ spl0_153
    | ~ spl0_69
    | ~ spl0_24
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f892,f503,f297,f494,f898]) ).

fof(f1083,definition,
    ( spl0_162
  <=> c3_1(a860) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1091,definition,
    ( spl0_163
  <=> c3_1(a827) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1101,plain,
    ( ~ c0_1(a856)
    | c1_1(a856)
    | ~ spl0_40
    | spl0_90 ),
    inference(resolution,[],[f362,f593]) ).

fof(f1106,plain,
    ( ~ c3_1(a827)
    | ~ c1_1(a827)
    | ~ spl0_44
    | spl0_132 ),
    inference(resolution,[],[f381,f789]) ).

fof(f1110,plain,
    ( ~ c3_1(a839)
    | ~ c1_1(a839)
    | ~ spl0_44
    | spl0_155 ),
    inference(resolution,[],[f381,f919]) ).

fof(f1114,plain,
    ( ~ c3_1(a854)
    | ~ c1_1(a854)
    | ~ spl0_44
    | spl0_97 ),
    inference(resolution,[],[f381,f626]) ).

fof(f1157,plain,
    ( ~ c1_1(a878)
    | ~ spl0_27
    | ~ spl0_32
    | spl0_78 ),
    inference(resolution,[],[f936,f537]) ).

fof(f1162,plain,
    ( ~ c1_1(a842)
    | ~ c0_1(a842)
    | ~ spl0_30
    | spl0_108 ),
    inference(resolution,[],[f321,f677]) ).

fof(f1167,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_32
    | spl0_78
    | ~ spl0_80 ),
    inference(resolution,[],[f1157,f546]) ).

fof(f1168,plain,
    ( ~ spl0_27
    | ~ spl0_32
    | spl0_78
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1167]) ).

fof(f1171,plain,
    ( ~ c0_1(a828)
    | c3_1(a828)
    | ~ spl0_33
    | spl0_129 ),
    inference(resolution,[],[f775,f333]) ).

fof(f1174,definition,
    ( spl0_166
  <=> c3_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1178,plain,
    ( spl0_166
    | ~ spl0_131
    | ~ spl0_33
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1171,f774,f332,f783,f1174]) ).

fof(f1182,plain,
    ( ~ spl0_65
    | ~ spl0_63
    | ~ spl0_23
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1061,f470,f294,f465,f474]) ).

fof(f1190,plain,
    ( ~ c3_1(a827)
    | ~ c1_1(a827)
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(resolution,[],[f295,f794]) ).

fof(f1200,plain,
    ( ~ spl0_134
    | ~ spl0_163
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1190,f793,f294,f1091,f797]) ).

fof(f1217,definition,
    ( spl0_167
  <=> c1_1(a817) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1222,plain,
    ( c0_1(a817)
    | c3_1(a817)
    | ~ spl0_48
    | ~ spl0_146 ),
    inference(resolution,[],[f397,f854]) ).

fof(f1223,plain,
    ( c0_1(a827)
    | c3_1(a827)
    | ~ spl0_48
    | ~ spl0_133 ),
    inference(resolution,[],[f397,f794]) ).

fof(f1225,plain,
    ( c0_1(a844)
    | c3_1(a844)
    | ~ spl0_48
    | ~ spl0_107 ),
    inference(resolution,[],[f397,f672]) ).

fof(f1234,plain,
    ( spl0_105
    | spl0_160
    | ~ spl0_48
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1225,f671,f396,f1005,f662]) ).

fof(f1235,plain,
    ( spl0_163
    | spl0_132
    | ~ spl0_48
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1223,f793,f396,f788,f1091]) ).

fof(f1237,plain,
    ( spl0_144
    | spl0_145
    | ~ spl0_48
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1222,f853,f396,f849,f844]) ).

fof(f1254,plain,
    ( c3_1(a828)
    | c1_1(a828)
    | ~ spl0_41
    | spl0_129 ),
    inference(resolution,[],[f368,f775]) ).

fof(f1262,plain,
    ( spl0_130
    | spl0_166
    | ~ spl0_41
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1254,f774,f367,f1174,f779]) ).

fof(f1291,plain,
    ( ~ spl0_110
    | ~ spl0_109
    | ~ spl0_30
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1162,f676,f320,f681,f685]) ).

fof(f1297,definition,
    ( spl0_169
  <=> c3_1(a818) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1302,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(resolution,[],[f406,f368]) ).

fof(f1303,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_30
    | ~ spl0_50 ),
    inference(resolution,[],[f406,f321]) ).

fof(f1304,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(resolution,[],[f406,f328]) ).

fof(f1313,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1304]) ).

fof(f1314,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_30
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1303]) ).

fof(f1315,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1302]) ).

fof(f1320,plain,
    ( spl0_45
    | ~ spl0_32
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1313,f405,f327,f385]) ).

fof(f1321,plain,
    ( spl0_45
    | ~ spl0_30
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1314,f405,f320,f385]) ).

fof(f1338,plain,
    ( ~ c3_1(a839)
    | ~ c1_1(a839)
    | ~ spl0_54
    | spl0_111 ),
    inference(resolution,[],[f422,f691]) ).

fof(f1342,plain,
    ( ~ spl0_113
    | ~ spl0_112
    | ~ spl0_54
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1338,f690,f421,f695,f699]) ).

fof(f1344,plain,
    ( ~ spl0_134
    | ~ spl0_163
    | ~ spl0_44
    | spl0_132 ),
    inference(avatar_split_clause,[],[f1106,f788,f380,f1091,f797]) ).

fof(f1345,plain,
    ( ~ spl0_113
    | ~ spl0_112
    | ~ spl0_44
    | spl0_155 ),
    inference(avatar_split_clause,[],[f1110,f918,f380,f695,f699]) ).

fof(f1346,plain,
    ( ~ spl0_98
    | ~ spl0_157
    | ~ spl0_44
    | spl0_97 ),
    inference(avatar_split_clause,[],[f1114,f625,f380,f971,f629]) ).

fof(f1348,plain,
    ( c3_1(a857)
    | c1_1(a857)
    | ~ spl0_41
    | spl0_88 ),
    inference(resolution,[],[f584,f368]) ).

fof(f1353,definition,
    ( spl0_170
  <=> c1_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1359,plain,
    ( spl0_170
    | spl0_87
    | ~ spl0_41
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1348,f583,f367,f578,f1353]) ).

fof(f1360,plain,
    ( ~ spl0_71
    | ~ spl0_69
    | ~ spl0_21
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f885,f499,f287,f494,f503]) ).

fof(f1380,definition,
    ( spl0_171
  <=> c1_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1392,plain,
    ( ~ c3_1(a818)
    | ~ c0_1(a818)
    | ~ spl0_21
    | ~ spl0_72 ),
    inference(resolution,[],[f288,f509]) ).

fof(f1394,plain,
    ( ~ spl0_74
    | ~ spl0_169
    | ~ spl0_21
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1392,f508,f287,f1297,f517]) ).

fof(f1401,plain,
    ( ~ c3_1(a828)
    | c1_1(a828)
    | ~ spl0_36
    | ~ spl0_131 ),
    inference(resolution,[],[f344,f784]) ).

fof(f1405,plain,
    ( spl0_130
    | ~ spl0_166
    | ~ spl0_36
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1401,f783,f343,f1174,f779]) ).

fof(f1443,plain,
    ( spl0_38
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1315,f405,f367,f352]) ).

fof(f1451,plain,
    ( ~ spl0_110
    | ~ spl0_154
    | ~ spl0_29
    | spl0_108 ),
    inference(avatar_split_clause,[],[f914,f676,f316,f903,f685]) ).

fof(f1471,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(resolution,[],[f317,f337]) ).

fof(f1472,plain,
    ( ~ c3_1(a816)
    | ~ c0_1(a816)
    | ~ spl0_29
    | spl0_147 ),
    inference(resolution,[],[f317,f859]) ).

fof(f1474,plain,
    ( ~ c3_1(a839)
    | ~ c0_1(a839)
    | ~ spl0_29
    | spl0_111 ),
    inference(resolution,[],[f317,f691]) ).

fof(f1477,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f1471]) ).

fof(f1481,plain,
    ( ~ spl0_149
    | ~ spl0_148
    | ~ spl0_29
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1472,f858,f316,f863,f867]) ).

fof(f1482,plain,
    ( spl0_36
    | ~ spl0_29
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1477,f336,f316,f343]) ).

fof(f1498,plain,
    ( ~ c3_1(a818)
    | ~ c1_1(a818)
    | ~ spl0_24
    | ~ spl0_74 ),
    inference(resolution,[],[f298,f518]) ).

fof(f1501,plain,
    ( ~ spl0_73
    | ~ spl0_169
    | ~ spl0_24
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1498,f517,f297,f1297,f513]) ).

fof(f1517,plain,
    ( ~ c3_1(a825)
    | ~ c1_1(a825)
    | ~ spl0_44
    | spl0_135 ),
    inference(resolution,[],[f381,f803]) ).

fof(f1527,plain,
    ( ~ spl0_137
    | ~ spl0_136
    | ~ spl0_44
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1517,f802,f380,f807,f811]) ).

fof(f1536,plain,
    ( c0_1(a826)
    | ~ c1_1(a826)
    | ~ spl0_46
    | ~ spl0_70 ),
    inference(resolution,[],[f390,f500]) ).

fof(f1541,plain,
    ( ~ c1_1(a830)
    | c3_1(a830)
    | ~ spl0_49
    | spl0_128 ),
    inference(resolution,[],[f402,f770]) ).

fof(f1553,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(resolution,[],[f417,f337]) ).

fof(f1556,plain,
    ( ~ c3_1(a839)
    | c0_1(a839)
    | ~ spl0_53
    | spl0_111 ),
    inference(resolution,[],[f417,f691]) ).

fof(f1558,plain,
    ( ~ c3_1(a856)
    | c0_1(a856)
    | ~ spl0_53
    | spl0_90 ),
    inference(resolution,[],[f417,f593]) ).

fof(f1560,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1553]) ).

fof(f1565,plain,
    ( spl0_161
    | ~ spl0_92
    | ~ spl0_53
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1558,f592,f416,f601,f1073]) ).

fof(f1566,plain,
    ( spl0_155
    | ~ spl0_112
    | ~ spl0_53
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1556,f690,f416,f695,f918]) ).

fof(f1568,plain,
    ( spl0_58
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1560,f416,f336,f441]) ).

fof(f1575,plain,
    ( ~ c1_1(a839)
    | c0_1(a839)
    | ~ spl0_55
    | spl0_111 ),
    inference(resolution,[],[f426,f691]) ).

fof(f1619,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_41
    | ~ spl0_59 ),
    inference(resolution,[],[f447,f368]) ).

fof(f1623,plain,
    ( c0_1(a844)
    | c1_1(a844)
    | ~ spl0_59
    | ~ spl0_107 ),
    inference(resolution,[],[f447,f672]) ).

fof(f1628,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_41
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f1619]) ).

fof(f1635,plain,
    ( spl0_106
    | spl0_160
    | ~ spl0_59
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1623,f671,f446,f1005,f667]) ).

fof(f1638,plain,
    ( spl0_61
    | ~ spl0_41
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1628,f446,f367,f454]) ).

fof(f1642,plain,
    ( c3_1(a817)
    | c1_1(a817)
    | ~ spl0_61
    | spl0_145 ),
    inference(resolution,[],[f455,f850]) ).

fof(f1646,plain,
    ( c3_1(a844)
    | c1_1(a844)
    | ~ spl0_61
    | spl0_160 ),
    inference(resolution,[],[f455,f1006]) ).

fof(f1647,plain,
    ( c3_1(a855)
    | c1_1(a855)
    | ~ spl0_61
    | spl0_95 ),
    inference(resolution,[],[f455,f616]) ).

fof(f1654,plain,
    ( spl0_94
    | spl0_93
    | ~ spl0_61
    | spl0_95 ),
    inference(avatar_split_clause,[],[f1647,f615,f454,f606,f611]) ).

fof(f1655,plain,
    ( spl0_106
    | spl0_105
    | ~ spl0_61
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1646,f1005,f454,f662,f667]) ).

fof(f1657,plain,
    ( spl0_167
    | spl0_144
    | ~ spl0_61
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1642,f849,f454,f844,f1217]) ).

fof(f1660,plain,
    ( ~ spl0_155
    | ~ spl0_112
    | ~ spl0_29
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1474,f690,f316,f695,f918]) ).

fof(f1661,plain,
    ( spl0_81
    | ~ spl0_82
    | ~ spl0_36
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f959,f559,f343,f555,f550]) ).

fof(f1678,plain,
    ( c3_1(a860)
    | c0_1(a860)
    | ~ spl0_57
    | spl0_84 ),
    inference(resolution,[],[f565,f435]) ).

fof(f1679,plain,
    ( c3_1(a860)
    | c1_1(a860)
    | ~ spl0_41
    | spl0_84 ),
    inference(resolution,[],[f565,f368]) ).

fof(f1680,plain,
    ( spl0_85
    | spl0_162
    | ~ spl0_41
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1679,f564,f367,f1083,f569]) ).

fof(f1681,plain,
    ( spl0_86
    | spl0_162
    | ~ spl0_57
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1678,f564,f434,f1083,f573]) ).

fof(f1691,plain,
    ( c3_1(a830)
    | c0_1(a830)
    | ~ spl0_57
    | spl0_127 ),
    inference(resolution,[],[f766,f435]) ).

fof(f1692,plain,
    ( c3_1(a830)
    | c1_1(a830)
    | ~ spl0_41
    | spl0_127 ),
    inference(resolution,[],[f766,f368]) ).

fof(f1693,plain,
    ( spl0_156
    | spl0_126
    | ~ spl0_41
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1692,f765,f367,f760,f941]) ).

fof(f1695,plain,
    ( spl0_128
    | spl0_126
    | ~ spl0_57
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1691,f765,f434,f760,f769]) ).

fof(f1696,plain,
    ( ~ c3_1(a827)
    | c0_1(a827)
    | ~ spl0_43
    | ~ spl0_133 ),
    inference(resolution,[],[f794,f377]) ).

fof(f1704,plain,
    ( ~ c3_1(a828)
    | ~ c0_1(a828)
    | ~ spl0_29
    | spl0_129 ),
    inference(resolution,[],[f317,f775]) ).

fof(f1714,plain,
    ( ~ spl0_131
    | ~ spl0_166
    | ~ spl0_29
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1704,f774,f316,f1174,f783]) ).

fof(f1736,plain,
    ( ~ c3_1(a860)
    | c1_1(a860)
    | ~ spl0_39
    | spl0_84 ),
    inference(resolution,[],[f358,f565]) ).

fof(f1738,plain,
    ( spl0_85
    | ~ spl0_162
    | ~ spl0_39
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1736,f564,f357,f1083,f569]) ).

fof(f1745,plain,
    ( spl0_91
    | ~ spl0_161
    | ~ spl0_40
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1101,f592,f361,f1073,f597]) ).

fof(f1746,plain,
    ( spl0_132
    | ~ spl0_163
    | ~ spl0_43
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1696,f793,f376,f1091,f788]) ).

fof(f1747,plain,
    ( ~ spl0_160
    | spl0_106
    | ~ spl0_37
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f994,f671,f348,f667,f1005]) ).

fof(f1750,plain,
    ( c3_1(a817)
    | ~ c1_1(a817)
    | ~ spl0_27
    | ~ spl0_146 ),
    inference(resolution,[],[f308,f854]) ).

fof(f1752,plain,
    ( c3_1(a827)
    | ~ c1_1(a827)
    | ~ spl0_27
    | ~ spl0_133 ),
    inference(resolution,[],[f308,f794]) ).

fof(f1755,plain,
    ( c3_1(a838)
    | ~ c1_1(a838)
    | ~ spl0_27
    | ~ spl0_115 ),
    inference(resolution,[],[f308,f710]) ).

fof(f1764,plain,
    ( ~ spl0_171
    | spl0_114
    | ~ spl0_27
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1755,f709,f307,f704,f1380]) ).

fof(f1765,plain,
    ( ~ spl0_134
    | spl0_163
    | ~ spl0_27
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1752,f793,f307,f1091,f797]) ).

fof(f1766,plain,
    ( ~ spl0_167
    | spl0_144
    | ~ spl0_27
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1750,f853,f307,f844,f1217]) ).

fof(f1773,plain,
    ( ~ c1_1(a857)
    | ~ c0_1(a857)
    | ~ spl0_30
    | spl0_88 ),
    inference(resolution,[],[f321,f584]) ).

fof(f1776,plain,
    ( ~ spl0_89
    | ~ spl0_170
    | ~ spl0_30
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1773,f583,f320,f1353,f587]) ).

fof(f1781,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_37
    | ~ spl0_41 ),
    inference(resolution,[],[f349,f368]) ).

fof(f1787,plain,
    ( c1_1(a838)
    | ~ c0_1(a838)
    | ~ spl0_37
    | ~ spl0_115 ),
    inference(resolution,[],[f349,f710]) ).

fof(f1793,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_37
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1781]) ).

fof(f1798,plain,
    ( ~ spl0_116
    | spl0_171
    | ~ spl0_37
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1787,f709,f348,f1380,f713]) ).

fof(f1801,plain,
    ( spl0_38
    | ~ spl0_37
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1793,f367,f348,f352]) ).

fof(f1818,plain,
    ( ~ spl0_153
    | spl0_71
    | ~ spl0_46
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1536,f499,f389,f503,f898]) ).

fof(f1823,plain,
    ( spl0_126
    | ~ spl0_156
    | ~ spl0_49
    | spl0_128 ),
    inference(avatar_split_clause,[],[f1541,f769,f401,f941,f760]) ).

fof(f1825,plain,
    ( spl0_155
    | ~ spl0_113
    | ~ spl0_55
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1575,f690,f425,f699,f918]) ).

fof(f1828,plain,
    ( spl0_153
    | ~ spl0_69
    | ~ spl0_36
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f960,f503,f343,f494,f898]) ).

fof(f1840,plain,
    ( ~ c1_1(a830)
    | c3_1(a830)
    | ~ spl0_32
    | spl0_127 ),
    inference(resolution,[],[f328,f766]) ).

fof(f1842,plain,
    ( ~ c1_1(a842)
    | c3_1(a842)
    | ~ spl0_32
    | spl0_108 ),
    inference(resolution,[],[f328,f677]) ).

fof(f1845,plain,
    ( ~ c1_1(a857)
    | c3_1(a857)
    | ~ spl0_32
    | spl0_88 ),
    inference(resolution,[],[f328,f584]) ).

fof(f1848,plain,
    ( spl0_87
    | ~ spl0_170
    | ~ spl0_32
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1845,f583,f327,f1353,f578]) ).

fof(f1849,plain,
    ( spl0_154
    | ~ spl0_109
    | ~ spl0_32
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1842,f676,f327,f681,f903]) ).

fof(f1850,plain,
    ( spl0_126
    | ~ spl0_156
    | ~ spl0_32
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1840,f765,f327,f941,f760]) ).

fof(f1859,plain,
    ( ~ c3_1(a848)
    | c1_1(a848)
    | ~ spl0_34
    | ~ spl0_104 ),
    inference(resolution,[],[f337,f658]) ).

fof(f1862,plain,
    ( ~ c3_1(a826)
    | c1_1(a826)
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(resolution,[],[f337,f500]) ).

fof(f1864,plain,
    ( spl0_153
    | ~ spl0_69
    | ~ spl0_34
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1862,f499,f336,f494,f898]) ).

fof(f1865,plain,
    ( spl0_102
    | ~ spl0_103
    | ~ spl0_34
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1859,f657,f336,f653,f648]) ).

fof(f1871,plain,
    ( ~ c0_1(a828)
    | c1_1(a828)
    | ~ spl0_40
    | spl0_129 ),
    inference(resolution,[],[f362,f775]) ).

fof(f1877,plain,
    ( ~ c0_1(a857)
    | c1_1(a857)
    | ~ spl0_40
    | spl0_88 ),
    inference(resolution,[],[f362,f584]) ).

fof(f1880,plain,
    ( spl0_170
    | ~ spl0_89
    | ~ spl0_40
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1877,f583,f361,f587,f1353]) ).

fof(f1881,plain,
    ( spl0_130
    | ~ spl0_131
    | ~ spl0_40
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1871,f774,f361,f783,f779]) ).

fof(f1882,plain,
    ( ~ c1_1(a815)
    | c3_1(a815)
    | ~ spl0_45
    | ~ spl0_152 ),
    inference(resolution,[],[f386,f882]) ).

fof(f1889,plain,
    ( ~ c1_1(a818)
    | c3_1(a818)
    | ~ spl0_45
    | ~ spl0_74 ),
    inference(resolution,[],[f386,f518]) ).

fof(f1892,plain,
    ( spl0_169
    | ~ spl0_73
    | ~ spl0_45
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1889,f517,f385,f513,f1297]) ).

fof(f1897,plain,
    ( spl0_150
    | ~ spl0_151
    | ~ spl0_45
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1882,f881,f385,f877,f872]) ).

fof(f1900,plain,
    ( c0_1(a817)
    | ~ c1_1(a817)
    | ~ spl0_46
    | ~ spl0_146 ),
    inference(resolution,[],[f390,f854]) ).

fof(f1902,plain,
    ( c0_1(a827)
    | ~ c1_1(a827)
    | ~ spl0_46
    | ~ spl0_133 ),
    inference(resolution,[],[f390,f794]) ).

fof(f1914,plain,
    ( ~ spl0_134
    | spl0_132
    | ~ spl0_46
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1902,f793,f389,f788,f797]) ).

fof(f1915,plain,
    ( ~ spl0_167
    | spl0_145
    | ~ spl0_46
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1900,f853,f389,f849,f1217]) ).

fof(f1942,plain,
    ( ~ c1_1(a854)
    | c0_1(a854)
    | ~ spl0_55
    | spl0_96 ),
    inference(resolution,[],[f426,f621]) ).

fof(f1949,plain,
    ( spl0_97
    | ~ spl0_98
    | ~ spl0_55
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1942,f620,f425,f629,f625]) ).

fof(f1956,plain,
    ( ~ c3_1(a831)
    | c1_1(a831)
    | ~ spl0_58
    | spl0_124 ),
    inference(resolution,[],[f442,f752]) ).

fof(f1961,plain,
    ( ~ c3_1(a856)
    | c1_1(a856)
    | ~ spl0_58
    | spl0_161 ),
    inference(resolution,[],[f442,f1074]) ).

fof(f1962,plain,
    ( ~ c3_1(a860)
    | c1_1(a860)
    | ~ spl0_58
    | spl0_86 ),
    inference(resolution,[],[f442,f574]) ).

fof(f1966,plain,
    ( spl0_85
    | ~ spl0_162
    | ~ spl0_58
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1962,f573,f441,f1083,f569]) ).

fof(f1967,plain,
    ( spl0_91
    | ~ spl0_92
    | ~ spl0_58
    | spl0_161 ),
    inference(avatar_split_clause,[],[f1961,f1073,f441,f601,f597]) ).

fof(f1969,plain,
    ( spl0_123
    | ~ spl0_125
    | ~ spl0_58
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1956,f751,f441,f755,f746]) ).

fof(f1982,plain,
    ( c0_1(a830)
    | c1_1(a830)
    | ~ spl0_62
    | spl0_127 ),
    inference(resolution,[],[f460,f766]) ).

fof(f1987,plain,
    ( c0_1(a860)
    | c1_1(a860)
    | ~ spl0_62
    | spl0_84 ),
    inference(resolution,[],[f460,f565]) ).

fof(f1990,plain,
    ( spl0_85
    | spl0_86
    | ~ spl0_62
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1987,f564,f459,f573,f569]) ).

fof(f1993,plain,
    ( spl0_156
    | spl0_128
    | ~ spl0_62
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1982,f765,f459,f769,f941]) ).

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

cnf(s2,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f234]) ).

cnf(s5,plain,
    ( spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f258]) ).

cnf(s6,plain,
    ( spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f265]) ).

cnf(s9,plain,
    ( spl0_7
    | spl0_19
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f289]) ).

cnf(s10,plain,
    ( ~ spl0_20
    | spl0_22
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f299]) ).

cnf(s13,plain,
    ( spl0_5
    | spl0_14
    | ~ spl0_20
    | spl0_27 ),
    inference(sat_conversion,[],[f311]) ).

cnf(s14,plain,
    ( ~ spl0_20
    | spl0_24
    | spl0_28
    | spl0_29 ),
    inference(sat_conversion,[],[f318]) ).

cnf(s15,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_28
    | spl0_30 ),
    inference(sat_conversion,[],[f322]) ).

cnf(s16,plain,
    ( ~ spl0_20
    | spl0_26
    | spl0_31
    | spl0_32 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s17,plain,
    ( spl0_7
    | ~ spl0_20
    | spl0_29
    | spl0_32 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s18,plain,
    ( spl0_8
    | ~ spl0_20
    | spl0_24
    | spl0_33 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s19,plain,
    ( spl0_14
    | ~ spl0_20
    | spl0_31
    | spl0_34 ),
    inference(sat_conversion,[],[f338]) ).

cnf(s20,plain,
    ( spl0_3
    | ~ spl0_20
    | spl0_35
    | spl0_36 ),
    inference(sat_conversion,[],[f345]) ).

cnf(s21,plain,
    ( spl0_17
    | ~ spl0_20
    | spl0_34
    | spl0_36 ),
    inference(sat_conversion,[],[f346]) ).

cnf(s22,plain,
    ( spl0_1
    | ~ spl0_20
    | spl0_30
    | spl0_37 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s25,plain,
    ( spl0_19
    | ~ spl0_20
    | spl0_24
    | spl0_39 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s26,plain,
    ( spl0_11
    | ~ spl0_20
    | spl0_29
    | spl0_40 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s27,plain,
    ( spl0_2
    | ~ spl0_20
    | spl0_34
    | spl0_40 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s29,plain,
    ( spl0_10
    | ~ spl0_20
    | spl0_41 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s30,plain,
    ( ~ spl0_20
    | spl0_34
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s31,plain,
    ( ~ spl0_20
    | spl0_23
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s32,plain,
    ( ~ spl0_20
    | spl0_32
    | spl0_37
    | spl0_43 ),
    inference(sat_conversion,[],[f378]) ).

cnf(s33,plain,
    ( spl0_8
    | ~ spl0_20
    | spl0_22
    | spl0_44 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s35,plain,
    ( spl0_11
    | ~ spl0_20
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s36,plain,
    ( ~ spl0_20
    | spl0_30
    | spl0_39
    | spl0_46 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s38,plain,
    ( ~ spl0_20
    | spl0_27
    | spl0_41
    | spl0_48 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s39,plain,
    ( spl0_3
    | spl0_16
    | ~ spl0_20
    | spl0_49 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s40,plain,
    ( ~ spl0_20
    | spl0_42
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s44,plain,
    ( ~ spl0_20
    | spl0_36
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s45,plain,
    ( spl0_11
    | ~ spl0_20
    | spl0_29
    | spl0_55 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s46,plain,
    ( ~ spl0_20
    | spl0_29
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s47,plain,
    ( ~ spl0_20
    | spl0_22
    | spl0_33
    | spl0_55 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s50,plain,
    ( spl0_4
    | ~ spl0_20
    | spl0_33
    | spl0_57 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s52,plain,
    ( ~ spl0_20
    | spl0_25
    | spl0_39
    | spl0_58 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s53,plain,
    ( spl0_19
    | ~ spl0_20
    | spl0_46
    | spl0_58 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s55,plain,
    ( ~ spl0_20
    | spl0_44
    | spl0_45
    | spl0_59 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s56,plain,
    ( ~ spl0_20
    | spl0_51
    | spl0_60
    | spl0_61 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s57,plain,
    ( ~ spl0_20
    | spl0_58
    | spl0_61 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s58,plain,
    ( ~ spl0_20
    | spl0_25
    | spl0_50
    | spl0_62 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s59,plain,
    ( ~ spl0_20
    | spl0_26
    | spl0_40
    | spl0_62 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s60,plain,
    ( ~ spl0_20
    | spl0_41
    | spl0_60
    | spl0_62 ),
    inference(sat_conversion,[],[f463]) ).

cnf(s61,plain,
    ( ~ spl0_28
    | spl0_63 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s62,plain,
    ( ~ spl0_28
    | spl0_64 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s63,plain,
    ( ~ spl0_28
    | spl0_65 ),
    inference(sat_conversion,[],[f476]) ).

cnf(s69,plain,
    ( ~ spl0_10
    | spl0_69 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s70,plain,
    ( ~ spl0_10
    | spl0_70 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s71,plain,
    ( ~ spl0_10
    | spl0_71 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s73,plain,
    ( ~ spl0_51
    | spl0_72 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s74,plain,
    ( ~ spl0_51
    | spl0_73 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s75,plain,
    ( ~ spl0_51
    | spl0_74 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s81,plain,
    ( ~ spl0_13
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s83,plain,
    ( ~ spl0_13
    | spl0_80 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s85,plain,
    ( ~ spl0_7
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s86,plain,
    ( ~ spl0_7
    | spl0_82 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s87,plain,
    ( ~ spl0_7
    | spl0_83 ),
    inference(sat_conversion,[],[f561]) ).

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

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

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

cnf(s93,plain,
    ( ~ spl0_35
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s94,plain,
    ( ~ spl0_35
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s95,plain,
    ( ~ spl0_35
    | spl0_89 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s97,plain,
    ( ~ spl0_17
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s98,plain,
    ( ~ spl0_17
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s99,plain,
    ( ~ spl0_17
    | spl0_92 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s101,plain,
    ( ~ spl0_1
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s102,plain,
    ( ~ spl0_1
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s103,plain,
    ( ~ spl0_1
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s104,plain,
    ( ~ spl0_1
    | spl0_20 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s105,plain,
    ( ~ spl0_12
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s106,plain,
    ( ~ spl0_12
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s107,plain,
    ( ~ spl0_12
    | spl0_98 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s113,plain,
    ( ~ spl0_2
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s114,plain,
    ( ~ spl0_2
    | spl0_103 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s115,plain,
    ( ~ spl0_2
    | spl0_104 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s116,plain,
    ( ~ spl0_2
    | spl0_20 ),
    inference(sat_conversion,[],[f660]) ).

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

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

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

cnf(s121,plain,
    ( ~ spl0_14
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s122,plain,
    ( ~ spl0_14
    | spl0_109 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s123,plain,
    ( ~ spl0_14
    | spl0_110 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s125,plain,
    ( ~ spl0_3
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s126,plain,
    ( ~ spl0_3
    | spl0_112 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s127,plain,
    ( ~ spl0_3
    | spl0_113 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s128,plain,
    ( ~ spl0_3
    | spl0_20 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s129,plain,
    ( ~ spl0_16
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s130,plain,
    ( ~ spl0_16
    | spl0_115 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s131,plain,
    ( ~ spl0_16
    | spl0_116 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s141,plain,
    ( ~ spl0_11
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s142,plain,
    ( ~ spl0_11
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s143,plain,
    ( ~ spl0_11
    | spl0_125 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s145,plain,
    ( ~ spl0_22
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s146,plain,
    ( ~ spl0_22
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s147,plain,
    ( ~ spl0_22
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s149,plain,
    ( ~ spl0_5
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s150,plain,
    ( ~ spl0_5
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s151,plain,
    ( ~ spl0_5
    | spl0_131 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s153,plain,
    ( ~ spl0_42
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s154,plain,
    ( ~ spl0_42
    | spl0_133 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s155,plain,
    ( ~ spl0_42
    | spl0_134 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s157,plain,
    ( ~ spl0_4
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s158,plain,
    ( ~ spl0_4
    | spl0_136 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s159,plain,
    ( ~ spl0_4
    | spl0_137 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s165,plain,
    ( ~ spl0_19
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s166,plain,
    ( ~ spl0_19
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s167,plain,
    ( ~ spl0_19
    | spl0_143 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s169,plain,
    ( ~ spl0_25
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s170,plain,
    ( ~ spl0_25
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s171,plain,
    ( ~ spl0_25
    | spl0_146 ),
    inference(sat_conversion,[],[f855]) ).

cnf(s173,plain,
    ( ~ spl0_26
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s174,plain,
    ( ~ spl0_26
    | spl0_148 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s175,plain,
    ( ~ spl0_26
    | spl0_149 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s177,plain,
    ( ~ spl0_60
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s178,plain,
    ( ~ spl0_60
    | spl0_151 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s179,plain,
    ( ~ spl0_60
    | spl0_152 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s181,plain,
    ( ~ spl0_21
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s184,plain,
    ( ~ spl0_24
    | ~ spl0_109
    | ~ spl0_110
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s189,plain,
    ( ~ spl0_30
    | spl0_111
    | ~ spl0_113
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s190,plain,
    ( ~ spl0_27
    | ~ spl0_30
    | spl0_45 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s193,plain,
    ( ~ spl0_33
    | spl0_108
    | ~ spl0_110
    | spl0_154 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s194,plain,
    ( ~ spl0_27
    | ~ spl0_33
    | spl0_45 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s200,plain,
    ( ~ spl0_32
    | spl0_96
    | ~ spl0_98
    | spl0_157 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s204,plain,
    ( ~ spl0_37
    | ~ spl0_70
    | ~ spl0_71
    | spl0_153 ),
    inference(sat_conversion,[],[f999]) ).

cnf(s207,plain,
    ( ~ spl0_33
    | ~ spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f1009]) ).

cnf(s208,plain,
    ( spl0_36
    | ~ spl0_37
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s209,plain,
    ( ~ spl0_38
    | spl0_141
    | spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1026]) ).

cnf(s210,plain,
    ( ~ spl0_34
    | spl0_36
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1041]) ).

cnf(s215,plain,
    ( ~ spl0_23
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1067]) ).

cnf(s219,plain,
    ( ~ spl0_24
    | ~ spl0_69
    | ~ spl0_71
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1079]) ).

cnf(s233,plain,
    ( ~ spl0_27
    | ~ spl0_32
    | spl0_78
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f1168]) ).

cnf(s235,plain,
    ( ~ spl0_33
    | spl0_129
    | ~ spl0_131
    | spl0_166 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s238,plain,
    ( ~ spl0_23
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f1182]) ).

cnf(s241,plain,
    ( ~ spl0_23
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1200]) ).

cnf(s246,plain,
    ( ~ spl0_48
    | spl0_105
    | ~ spl0_107
    | spl0_160 ),
    inference(sat_conversion,[],[f1234]) ).

cnf(s247,plain,
    ( ~ spl0_48
    | spl0_132
    | ~ spl0_133
    | spl0_163 ),
    inference(sat_conversion,[],[f1235]) ).

cnf(s248,plain,
    ( ~ spl0_48
    | spl0_144
    | spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1237]) ).

cnf(s254,plain,
    ( ~ spl0_41
    | spl0_129
    | spl0_130
    | spl0_166 ),
    inference(sat_conversion,[],[f1262]) ).

cnf(s261,plain,
    ( ~ spl0_30
    | spl0_108
    | ~ spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1291]) ).

cnf(s267,plain,
    ( ~ spl0_32
    | spl0_45
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1320]) ).

cnf(s268,plain,
    ( ~ spl0_30
    | spl0_45
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1321]) ).

cnf(s273,plain,
    ( ~ spl0_54
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1342]) ).

cnf(s275,plain,
    ( ~ spl0_44
    | spl0_132
    | ~ spl0_134
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1344]) ).

cnf(s276,plain,
    ( ~ spl0_44
    | ~ spl0_112
    | ~ spl0_113
    | spl0_155 ),
    inference(sat_conversion,[],[f1345]) ).

cnf(s277,plain,
    ( ~ spl0_44
    | spl0_97
    | ~ spl0_98
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1346]) ).

cnf(s280,plain,
    ( ~ spl0_41
    | spl0_87
    | spl0_88
    | spl0_170 ),
    inference(sat_conversion,[],[f1359]) ).

cnf(s281,plain,
    ( ~ spl0_21
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f1360]) ).

cnf(s298,plain,
    ( ~ spl0_21
    | ~ spl0_72
    | ~ spl0_74
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1394]) ).

cnf(s300,plain,
    ( ~ spl0_36
    | spl0_130
    | ~ spl0_131
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1405]) ).

cnf(s316,plain,
    ( spl0_38
    | ~ spl0_41
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1443]) ).

cnf(s324,plain,
    ( ~ spl0_29
    | spl0_108
    | ~ spl0_110
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s335,plain,
    ( ~ spl0_29
    | spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1481]) ).

cnf(s336,plain,
    ( ~ spl0_29
    | ~ spl0_34
    | spl0_36 ),
    inference(sat_conversion,[],[f1482]) ).

cnf(s347,plain,
    ( ~ spl0_24
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1501]) ).

cnf(s351,plain,
    ( ~ spl0_44
    | spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1527]) ).

cnf(s355,plain,
    ( ~ spl0_53
    | spl0_90
    | ~ spl0_92
    | spl0_161 ),
    inference(sat_conversion,[],[f1565]) ).

cnf(s356,plain,
    ( ~ spl0_53
    | spl0_111
    | ~ spl0_112
    | spl0_155 ),
    inference(sat_conversion,[],[f1566]) ).

cnf(s358,plain,
    ( ~ spl0_34
    | ~ spl0_53
    | spl0_58 ),
    inference(sat_conversion,[],[f1568]) ).

cnf(s369,plain,
    ( ~ spl0_59
    | spl0_106
    | ~ spl0_107
    | spl0_160 ),
    inference(sat_conversion,[],[f1635]) ).

cnf(s372,plain,
    ( ~ spl0_41
    | ~ spl0_59
    | spl0_61 ),
    inference(sat_conversion,[],[f1638]) ).

cnf(s377,plain,
    ( ~ spl0_61
    | spl0_93
    | spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f1654]) ).

cnf(s378,plain,
    ( ~ spl0_61
    | spl0_105
    | spl0_106
    | spl0_160 ),
    inference(sat_conversion,[],[f1655]) ).

cnf(s380,plain,
    ( ~ spl0_61
    | spl0_144
    | spl0_145
    | spl0_167 ),
    inference(sat_conversion,[],[f1657]) ).

cnf(s383,plain,
    ( ~ spl0_29
    | spl0_111
    | ~ spl0_112
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1660]) ).

cnf(s384,plain,
    ( ~ spl0_36
    | spl0_81
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f1661]) ).

cnf(s401,plain,
    ( ~ spl0_41
    | spl0_84
    | spl0_85
    | spl0_162 ),
    inference(sat_conversion,[],[f1680]) ).

cnf(s402,plain,
    ( ~ spl0_57
    | spl0_84
    | spl0_86
    | spl0_162 ),
    inference(sat_conversion,[],[f1681]) ).

cnf(s405,plain,
    ( ~ spl0_41
    | spl0_126
    | spl0_127
    | spl0_156 ),
    inference(sat_conversion,[],[f1693]) ).

cnf(s406,plain,
    ( ~ spl0_57
    | spl0_126
    | spl0_127
    | spl0_128 ),
    inference(sat_conversion,[],[f1695]) ).

cnf(s409,plain,
    ( ~ spl0_29
    | spl0_129
    | ~ spl0_131
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f1714]) ).

cnf(s412,plain,
    ( ~ spl0_39
    | spl0_84
    | spl0_85
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1738]) ).

cnf(s421,plain,
    ( ~ spl0_40
    | spl0_90
    | spl0_91
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1745]) ).

cnf(s422,plain,
    ( ~ spl0_43
    | spl0_132
    | ~ spl0_133
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1746]) ).

cnf(s423,plain,
    ( ~ spl0_37
    | spl0_106
    | ~ spl0_107
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1747]) ).

cnf(s425,plain,
    ( ~ spl0_27
    | spl0_114
    | ~ spl0_115
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1764]) ).

cnf(s426,plain,
    ( ~ spl0_27
    | ~ spl0_133
    | ~ spl0_134
    | spl0_163 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s427,plain,
    ( ~ spl0_27
    | spl0_144
    | ~ spl0_146
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1766]) ).

cnf(s428,plain,
    ( ~ spl0_30
    | spl0_88
    | ~ spl0_89
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1776]) ).

cnf(s433,plain,
    ( ~ spl0_37
    | ~ spl0_115
    | ~ spl0_116
    | spl0_171 ),
    inference(sat_conversion,[],[f1798]) ).

cnf(s435,plain,
    ( ~ spl0_37
    | spl0_38
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1801]) ).

cnf(s453,plain,
    ( ~ spl0_46
    | ~ spl0_70
    | spl0_71
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1818]) ).

cnf(s458,plain,
    ( ~ spl0_49
    | spl0_126
    | spl0_128
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1823]) ).

cnf(s460,plain,
    ( ~ spl0_55
    | spl0_111
    | ~ spl0_113
    | spl0_155 ),
    inference(sat_conversion,[],[f1825]) ).

cnf(s463,plain,
    ( ~ spl0_36
    | ~ spl0_69
    | ~ spl0_71
    | spl0_153 ),
    inference(sat_conversion,[],[f1828]) ).

cnf(s470,plain,
    ( ~ spl0_32
    | spl0_87
    | spl0_88
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1848]) ).

cnf(s471,plain,
    ( ~ spl0_32
    | spl0_108
    | ~ spl0_109
    | spl0_154 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s472,plain,
    ( ~ spl0_32
    | spl0_126
    | spl0_127
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1850]) ).

cnf(s473,plain,
    ( ~ spl0_34
    | ~ spl0_69
    | ~ spl0_70
    | spl0_153 ),
    inference(sat_conversion,[],[f1864]) ).

cnf(s474,plain,
    ( ~ spl0_34
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s477,plain,
    ( ~ spl0_40
    | spl0_88
    | ~ spl0_89
    | spl0_170 ),
    inference(sat_conversion,[],[f1880]) ).

cnf(s478,plain,
    ( ~ spl0_40
    | spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1881]) ).

cnf(s479,plain,
    ( ~ spl0_45
    | ~ spl0_73
    | ~ spl0_74
    | spl0_169 ),
    inference(sat_conversion,[],[f1892]) ).

cnf(s482,plain,
    ( ~ spl0_45
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s484,plain,
    ( ~ spl0_46
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1914]) ).

cnf(s485,plain,
    ( ~ spl0_46
    | spl0_145
    | ~ spl0_146
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1915]) ).

cnf(s490,plain,
    ( ~ spl0_55
    | spl0_96
    | spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f1949]) ).

cnf(s491,plain,
    ( ~ spl0_58
    | spl0_85
    | spl0_86
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1966]) ).

cnf(s492,plain,
    ( ~ spl0_58
    | spl0_91
    | ~ spl0_92
    | spl0_161 ),
    inference(sat_conversion,[],[f1967]) ).

cnf(s494,plain,
    ( ~ spl0_58
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1969]) ).

cnf(s501,plain,
    ( ~ spl0_62
    | spl0_84
    | spl0_85
    | spl0_86 ),
    inference(sat_conversion,[],[f1990]) ).

cnf(s504,plain,
    ( ~ spl0_62
    | spl0_127
    | spl0_128
    | spl0_156 ),
    inference(sat_conversion,[],[f1993]) ).

cnf(s507,plain,
    ( ~ spl0_10
    | ~ spl0_24
    | ~ spl0_37 ),
    inference(rat,[],[s219,s204,s69,s70,s71]) ).

cnf(s509,plain,
    ( spl0_34
    | ~ spl0_53
    | spl0_36
    | ~ spl0_20
    | spl0_2 ),
    inference(rat,[],[s355,s421,s97,s98,s99,s21,s27]) ).

cnf(s510,plain,
    ( spl0_36
    | spl0_54
    | spl0_111
    | ~ spl0_112
    | ~ spl0_20
    | spl0_2 ),
    inference(rat,[],[s494,s141,s142,s143,s26,s210,s358,s509,s383,s356,s44]) ).

cnf(s511,plain,
    ( ~ spl0_19
    | ~ spl0_38 ),
    inference(rat,[],[s209,s165,s166,s167]) ).

cnf(s512,plain,
    ( ~ spl0_7
    | ~ spl0_36 ),
    inference(rat,[],[s85,s384,s86,s87]) ).

cnf(s513,plain,
    ( ~ spl0_155
    | ~ spl0_14
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s69,s281,s9,s70,s71,s511,s29,s207,s405,s50,s472,s406,s145,s146,s147,s10,s184,s471,s17,s238,s61,s62,s63,s22,s15,s189,s383,s512,s510,s273,s127,s125,s126,s128,s1,s123,s122,s121]) ).

cnf(s514,plain,
    ( ~ spl0_14
    | spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s406,s145,s146,s147,s47,s50,s193,s324,s46,s460,s513,s121,s123,s128,s273,s125,s126,s127,s1]) ).

cnf(s515,plain,
    ( ~ spl0_5
    | ~ spl0_36
    | ~ spl0_20 ),
    inference(rat,[],[s215,s463,s69,s70,s71,s31,s29,s254,s478,s300,s149,s150,s151]) ).

cnf(s516,plain,
    ( ~ spl0_155
    | spl0_126
    | spl0_127
    | spl0_128
    | spl0_38
    | spl0_24
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s55,s369,s482,s423,s351,s177,s178,s179,s118,s119,s157,s158,s159,s60,s18,s50,s504,s207,s435,s472,s22,s17,s189,s383,s512,s510,s273,s127,s125,s126,s128,s1,s406]) ).

cnf(s517,plain,
    ( ~ spl0_60
    | ~ spl0_45 ),
    inference(rat,[],[s482,s177,s178,s179]) ).

cnf(s519,plain,
    ( ~ spl0_11
    | ~ spl0_58 ),
    inference(rat,[],[s494,s141,s142,s143]) ).

cnf(s520,plain,
    ( ~ spl0_17
    | ~ spl0_58
    | ~ spl0_40 ),
    inference(rat,[],[s421,s492,s97,s98,s99]) ).

cnf(s523,plain,
    ( ~ spl0_16
    | ~ spl0_27
    | ~ spl0_37 ),
    inference(rat,[],[s425,s433,s129,s130,s131]) ).

cnf(s524,plain,
    ( ~ spl0_31
    | ~ spl0_62 ),
    inference(rat,[],[s501,s89,s90,s91]) ).

cnf(s525,plain,
    ( ~ spl0_26
    | ~ spl0_29 ),
    inference(rat,[],[s335,s173,s174,s175]) ).

cnf(s526,plain,
    ( ~ spl0_62
    | spl0_26
    | spl0_126
    | spl0_127
    | spl0_128
    | ~ spl0_20 ),
    inference(rat,[],[s16,s472,s524,s504]) ).

cnf(s527,plain,
    ( ~ spl0_37
    | spl0_62
    | spl0_44
    | spl0_38
    | spl0_24
    | ~ spl0_20 ),
    inference(rat,[],[s369,s423,s55,s118,s119,s517,s18,s60,s207,s435]) ).

cnf(s528,plain,
    ( spl0_41
    | ~ spl0_30
    | spl0_62
    | ~ spl0_20 ),
    inference(rat,[],[s248,s169,s170,s171,s38,s58,s190,s268,s517,s60]) ).

cnf(s529,plain,
    ( ~ spl0_71
    | ~ spl0_70
    | ~ spl0_69
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s261,s121,s122,s123,s13,s426,s422,s153,s154,s155,s40,s32,s458,s472,s316,s405,s528,s22,s527,s526,s525,s46,s460,s276,s516,s145,s146,s147,s511,s10,s9,s215,s219,s181,s463,s512,s515,s510,s273,s127,s125,s126,s128,s1]) ).

cnf(s530,plain,
    ( spl0_32
    | spl0_31
    | spl0_7
    | ~ spl0_20 ),
    inference(rat,[],[s525,s16,s17]) ).

cnf(s531,plain,
    ( spl0_126
    | ~ spl0_32
    | spl0_127
    | ~ spl0_41 ),
    inference(rat,[],[s472,s405]) ).

cnf(s532,plain,
    ( spl0_44
    | spl0_22
    | ~ spl0_21
    | ~ spl0_37
    | ~ spl0_20 ),
    inference(rat,[],[s298,s479,s73,s74,s75,s56,s517,s55,s378,s369,s423,s117,s118,s119,s33]) ).

cnf(s533,plain,
    ( ~ spl0_12
    | ~ spl0_55 ),
    inference(rat,[],[s490,s105,s106,s107]) ).

cnf(s534,plain,
    ( spl0_31
    | spl0_127
    | ~ spl0_37
    | ~ spl0_70
    | ~ spl0_69
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s471,s184,s121,s122,s123,s19,s473,s453,s53,s519,s5,s533,s10,s238,s61,s62,s63,s15,s46,s189,s383,s276,s532,s145,s531,s530,s9,s511,s435,s29,s71,s529,s512,s510,s273,s127,s125,s126,s128,s1]) ).

cnf(s535,plain,
    ( ~ spl0_31
    | spl0_19
    | ~ spl0_41
    | ~ spl0_20 ),
    inference(rat,[],[s380,s485,s169,s170,s171,s52,s53,s57,s412,s491,s401,s89,s90,s91]) ).

cnf(s536,plain,
    ( ~ spl0_37
    | ~ spl0_70
    | ~ spl0_69
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s471,s184,s121,s122,s123,s19,s473,s453,s53,s10,s519,s238,s5,s61,s62,s63,s533,s15,s46,s189,s383,s276,s532,s146,s534,s530,s535,s9,s511,s435,s512,s510,s273,s127,s125,s126,s29,s71,s529,s128,s1]) ).

cnf(s537,plain,
    ( ~ spl0_14
    | ~ spl0_30 ),
    inference(rat,[],[s261,s121,s122,s123]) ).

cnf(s538,plain,
    ( ~ spl0_70
    | ~ spl0_69
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s427,s380,s169,s170,s171,s52,s57,s412,s491,s401,s89,s90,s91,s16,s233,s81,s83,s6,s13,s537,s525,s46,s460,s189,s22,s536,s29,s71,s529,s515,s510,s273,s127,s125,s126,s128,s1]) ).

cnf(s539,plain,
    ( ~ spl0_71
    | ~ spl0_24
    | ~ spl0_69
    | ~ spl0_36 ),
    inference(rat,[],[s219,s463]) ).

cnf(s540,plain,
    ( spl0_14
    | ~ spl0_32
    | spl0_5
    | ~ spl0_20 ),
    inference(rat,[],[s233,s81,s83,s6,s13]) ).

cnf(s541,plain,
    ( ~ spl0_37
    | ~ spl0_41
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s531,s145,s146,s532,s351,s157,s158,s159,s514,s540,s530,s535,s9,s511,s435,s512,s515,s510,s273,s127,s125,s126,s128,s1]) ).

cnf(s542,plain,
    ( ~ spl0_41
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s427,s380,s169,s170,s171,s52,s57,s412,s491,s401,s89,s90,s91,s530,s540,s13,s537,s22,s541,s512,s515,s510,s273,s127,s125,s126,s128,s1]) ).

cnf(s543,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s538,s69,s70,s29,s542,s128,s1]) ).

cnf(s544,plain,
    ( spl0_7
    | spl0_32
    | spl0_24
    | ~ spl0_37
    | ~ spl0_3
    | spl0_21
    | ~ spl0_20 ),
    inference(rat,[],[s527,s276,s524,s383,s511,s530,s17,s9,s127,s126,s125]) ).

cnf(s545,plain,
    ( spl0_36
    | ~ spl0_37
    | ~ spl0_3
    | spl0_46
    | ~ spl0_20 ),
    inference(rat,[],[s189,s36,s356,s208,s44,s273,s125,s126,s127]) ).

cnf(s546,plain,
    ( ~ spl0_37
    | ~ spl0_3
    | spl0_46
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(rat,[],[s351,s157,s158,s159,s527,s50,s504,s207,s472,s511,s544,s9,s512,s545,s406,s145,s146,s147,s10,s215,s204,s507,s181,s71,s69,s70]) ).

cnf(s547,plain,
    ( ~ spl0_30
    | spl0_41
    | ~ spl0_2 ),
    inference(rat,[],[s19,s524,s537,s528,s116,s474,s113,s114,s115]) ).

cnf(s548,plain,
    ( spl0_41
    | spl0_1 ),
    inference(rat,[],[s472,s530,s504,s524,s527,s351,s157,s158,s159,s511,s145,s146,s147,s2,s9,s10,s515,s512,s238,s208,s546,s507,s61,s62,s63,s36,s22,s15,s547,s484,s181,s153,s154,s155,s69,s70,s71,s30,s29,s116,s474,s113,s114,s115,s543]) ).

cnf(s549,plain,
    ( spl0_32
    | spl0_31
    | spl0_19
    | ~ spl0_37
    | ~ spl0_3
    | ~ spl0_20 ),
    inference(rat,[],[s380,s485,s169,s170,s171,s52,s57,s519,s5,s507,s533,s25,s46,s545,s208,s525,s512,s16,s530,s273,s125,s126,s127]) ).

cnf(s550,plain,
    ( ~ spl0_37
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s531,s145,s146,s10,s184,s471,s549,s238,s61,s62,s63,s15,s537,s121,s122,s123,s19,s535,s511,s435,s116,s474,s113,s114,s115,s543,s548]) ).

cnf(s551,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s427,s380,s169,s170,s171,s52,s57,s412,s491,s13,s401,s515,s89,s90,s91,s44,s19,s356,s537,s189,s22,s550,s273,s125,s126,s127,s116,s474,s113,s114,s115,s543,s548]) ).

cnf(s552,plain,
    ( spl0_58
    | ~ spl0_46
    | spl0_39
    | ~ spl0_20 ),
    inference(rat,[],[s380,s485,s169,s170,s171,s52,s57]) ).

cnf(s553,plain,
    ( spl0_32
    | spl0_31
    | ~ spl0_37
    | ~ spl0_2 ),
    inference(rat,[],[s26,s520,s519,s552,s36,s208,s21,s525,s512,s16,s530,s537,s19,s116,s474,s113,s114,s115]) ).

cnf(s554,plain,
    ( ~ spl0_37
    | spl0_1 ),
    inference(rat,[],[s531,s145,s146,s10,s184,s471,s553,s238,s61,s62,s63,s15,s537,s121,s122,s123,s19,s535,s511,s435,s116,s474,s113,s114,s115,s543,s548]) ).

cnf(s555,plain,
    spl0_1,
    inference(rat,[],[s280,s428,s93,s94,s95,s20,s515,s13,s427,s380,s169,s170,s171,s52,s57,s412,s491,s401,s89,s90,s91,s19,s537,s22,s554,s551,s548,s474,s113,s114,s115,s116,s543]) ).

cnf(s556,plain,
    spl0_20,
    inference(rat,[],[s104,s555]) ).

cnf(s557,plain,
    ~ spl0_95,
    inference(rat,[],[s103,s555]) ).

cnf(s558,plain,
    ~ spl0_94,
    inference(rat,[],[s102,s555]) ).

cnf(s559,plain,
    ~ spl0_93,
    inference(rat,[],[s101,s555]) ).

cnf(s560,plain,
    ~ spl0_61,
    inference(rat,[],[s377,s557,s558,s559]) ).

cnf(s561,plain,
    spl0_58,
    inference(rat,[],[s57,s556,s560]) ).

cnf(s562,plain,
    ~ spl0_11,
    inference(rat,[],[s519,s561]) ).

cnf(s563,plain,
    ( ~ spl0_3
    | spl0_2
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(rat,[],[s351,s157,s158,s159,s527,s50,s504,s207,s472,s511,s544,s9,s512,s510,s273,s125,s126,s127,s181,s406,s147,s146,s145,s10,s215,s204,s71,s70,s69,s507,s556]) ).

cnf(s564,plain,
    ( spl0_38
    | spl0_3
    | spl0_41
    | ~ spl0_37 ),
    inference(rat,[],[s39,s458,s523,s504,s38,s527,s246,s351,s423,s157,s158,s159,s117,s118,s119,s50,s18,s207,s406,s147,s146,s145,s10,s215,s204,s71,s70,s69,s507,s29,s556]) ).

cnf(s565,plain,
    ( spl0_19
    | ~ spl0_10
    | ~ spl0_37 ),
    inference(rat,[],[s512,s208,s9,s25,s507,s181,s71,s69,s70,s556]) ).

cnf(s566,plain,
    ( spl0_41
    | ~ spl0_37 ),
    inference(rat,[],[s472,s553,s504,s524,s527,s351,s157,s158,s159,s563,s50,s564,s207,s511,s565,s406,s145,s146,s147,s10,s215,s204,s507,s69,s70,s71,s29,s556]) ).

cnf(s567,plain,
    ~ spl0_37,
    inference(rat,[],[s512,s208,s9,s25,s298,s347,s479,s73,s74,s75,s56,s517,s55,s277,s200,s16,s525,s45,s533,s105,s106,s107,s5,s565,s535,s511,s435,s372,s566,s556,s560,s562]) ).

cnf(s568,plain,
    ( spl0_32
    | spl0_7
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113
    | spl0_41 ),
    inference(rat,[],[s35,s517,s276,s60,s383,s524,s17,s530,s556,s562]) ).

cnf(s569,plain,
    ( ~ spl0_3
    | spl0_2
    | spl0_41 ),
    inference(rat,[],[s351,s157,s158,s159,s50,s194,s38,s248,s169,s170,s171,s58,s267,s35,s517,s60,s504,s472,s568,s406,s145,s146,s147,s10,s215,s539,s463,s512,s510,s273,s125,s126,s127,s71,s70,s69,s29,s556,s562]) ).

cnf(s570,plain,
    ( ~ spl0_4
    | ~ spl0_44 ),
    inference(rat,[],[s351,s157,s158,s159]) ).

cnf(s571,plain,
    ( spl0_7
    | spl0_32
    | spl0_3
    | spl0_41 ),
    inference(rat,[],[s478,s149,s150,s151,s2,s570,s35,s517,s59,s60,s525,s524,s17,s530,s556,s562]) ).

cnf(s572,plain,
    ( ~ spl0_31
    | spl0_3
    | spl0_41 ),
    inference(rat,[],[s409,s26,s235,s478,s149,s150,s151,s50,s2,s570,s35,s517,s402,s60,s491,s524,s89,s90,s91,s556,s562,s561]) ).

cnf(s573,plain,
    ( spl0_32
    | spl0_3
    | spl0_41 ),
    inference(rat,[],[s21,s210,s520,s26,s525,s16,s512,s571,s572,s556,s561,s562]) ).

cnf(s574,plain,
    ( ~ spl0_36
    | spl0_3
    | spl0_41 ),
    inference(rat,[],[s504,s60,s472,s517,s145,s146,s147,s35,s10,s570,s215,s2,s539,s463,s515,s71,s70,s69,s29,s573,s556,s562]) ).

cnf(s575,plain,
    ( spl0_2
    | spl0_41 ),
    inference(rat,[],[s336,s26,s27,s477,s470,s93,s94,s95,s20,s574,s573,s569,s562,s556]) ).

cnf(s576,plain,
    ( spl0_163
    | spl0_41 ),
    inference(rat,[],[s38,s247,s426,s155,s154,s153,s30,s474,s113,s114,s115,s575,s556]) ).

cnf(s577,plain,
    spl0_41,
    inference(rat,[],[s472,s504,s145,s146,s147,s10,s539,s60,s21,s517,s520,s35,s31,s32,s275,s241,s422,s576,s153,s154,s155,s30,s474,s113,s114,s115,s575,s69,s71,s29,s556,s561,s562,s567]) ).

cnf(s580,plain,
    ~ spl0_31,
    inference(rat,[],[s401,s491,s89,s90,s91,s577,s561]) ).

cnf(s581,plain,
    ( ~ spl0_32
    | spl0_5 ),
    inference(rat,[],[s531,s145,s146,s10,s238,s61,s62,s63,s14,s324,s184,s471,s121,s122,s123,s540,s556,s577]) ).

cnf(s582,plain,
    ~ spl0_36,
    inference(rat,[],[s581,s530,s515,s512,s580,s556]) ).

cnf(s584,plain,
    ~ spl0_40,
    inference(rat,[],[s21,s210,s520,s556,s582,s561]) ).

cnf(s585,plain,
    spl0_29,
    inference(rat,[],[s26,s562,s556,s584]) ).

cnf(s586,plain,
    ~ spl0_26,
    inference(rat,[],[s525,s585]) ).

cnf(s587,plain,
    ~ spl0_34,
    inference(rat,[],[s336,s582,s585]) ).

cnf(s588,plain,
    spl0_32,
    inference(rat,[],[s16,s556,s580,s586]) ).

cnf(s591,plain,
    spl0_14,
    inference(rat,[],[s19,s580,s556,s587]) ).

cnf(s597,plain,
    spl0_110,
    inference(rat,[],[s123,s591]) ).

cnf(s598,plain,
    spl0_109,
    inference(rat,[],[s122,s591]) ).

cnf(s599,plain,
    ~ spl0_108,
    inference(rat,[],[s121,s591]) ).

cnf(s607,plain,
    ~ spl0_154,
    inference(rat,[],[s324,s585,s599,s597]) ).

cnf(s608,plain,
    $false,
    inference(rat,[],[s471,s588,s598,s599,s607]) ).

fof(f1995,plain,
    $false,
    inference(avatar_sat_refutation,[],[s608]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN452+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n016.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 16:10:19 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
% 2.99/1.12  % (3737107)Detected formulas, will run a generic FOF schedule.
% 2.99/1.12  % (3737112)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=1739996361:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.99/1.12  % (3737117)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3927895558:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.99/1.12  % (3737116)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1342086961:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.99/1.12  % (3737113)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=939213552:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.99/1.12  % (3737115)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3897023027:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.99/1.12  % (3737114)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=733876888:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.99/1.12  % (3737118)dis-21_1_sil=8000:lcm=predicate:random_seed=616741043: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)
% 2.99/1.12  % (3737118)First to succeed.
% 2.99/1.12  % (3737118)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3737107"
% 2.99/1.12  % (3737117)Also succeeded, but the first one will report.
% 2.99/1.12  % (3737116)Instruction limit reached! 
% 2.99/1.12  % (3737116)------------------------------
% 2.99/1.12  % (3737116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.12  % (3737116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.12  % (3737116)CaDiCaL version: 2.1.3
% 2.99/1.12  % (3737116)Termination reason: Instruction limit
% 2.99/1.12  % (3737116)Termination phase: Saturation
% 2.99/1.12  % (3737116)Time elapsed: 0.058 s
% 2.99/1.12  % (3737116)Peak memory usage: 87 MB
% 2.99/1.12  % (3737116)Instructions burned: 119 (million)
% 2.99/1.12  % (3737115)Also succeeded, but the first one will report.
% 2.99/1.12  % (3737126)lrs+10_1_sil=8000:sp=occurrence:random_seed=1279891978:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.99/1.12  % (3737126)Also succeeded, but the first one will report.
% 2.99/1.12  % (3737118)Refutation found. Thanks to Tanya!
% 2.99/1.12  % SZS status Theorem for theBenchmark
% 2.99/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 3.74/1.21  % (3737118)------------------------------
% 3.74/1.21  % (3737118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.21  % (3737118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.21  % (3737118)CaDiCaL version: 2.1.3
% 3.74/1.21  % (3737118)Termination reason: Refutation
% 3.74/1.21  % (3737118)Time elapsed: 0.034 s
% 3.74/1.21  % (3737118)Peak memory usage: 90 MB
% 3.74/1.21  % (3737118)Instructions burned: 56 (million)
% 3.74/1.21  % (3737118)------------------------------
% 3.74/1.21  % (3737118)------------------------------
% 3.74/1.21  % (3737107)Success in time 0.454 s
% 3.74/1.21  % Vampire exiting
%------------------------------------------------------------------------------