↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN512+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 : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:00:34 PM UTC 2026

% Result   : Theorem 1.20s 1.14s
% Output   : Refutation 3.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :  164
% Syntax   : Number of formulae    : 1027 (  31 unt; 163 def)
%            Number of atoms       : 6960 (   0 equ)
%            Maximal formula atoms :  730 (   6 avg)
%            Number of connectives : 9165 (3232   ~;4404   |;1030   &)
%                                         ( 163 <=>; 336  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  118 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  201 ( 200 usr; 197 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  766 (   0 sgn 766   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a828)
          & c2_1(a828)
          & ~ c0_1(a828) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c0_1(a829)
          & ~ c1_1(a829)
          & ~ c3_1(a829) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a830)
          & ~ c1_1(a830)
          & ~ c2_1(a830) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c2_1(a831)
          & c3_1(a831)
          & ~ c1_1(a831) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c1_1(a832)
          & ~ c2_1(a832)
          & ~ c3_1(a832) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a833)
          & c2_1(a833)
          & ~ c3_1(a833) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a835)
          & ~ c2_1(a835)
          & ~ c3_1(a835) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a836)
          & c3_1(a836)
          & ~ c1_1(a836) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a838)
          & ~ c2_1(a838)
          & ~ c3_1(a838) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a841)
          & c1_1(a841)
          & ~ c2_1(a841) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a843)
          & ~ c0_1(a843)
          & ~ c3_1(a843) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a844)
          & ~ c1_1(a844)
          & ~ c2_1(a844) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a845)
          & ~ c0_1(a845)
          & ~ c1_1(a845) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a846)
          & ~ c0_1(a846)
          & ~ c2_1(a846) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a851)
          & c2_1(a851)
          & ~ c3_1(a851) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a853)
          & c3_1(a853)
          & ~ c0_1(a853) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ c0_1(a858)
          & ~ c1_1(a858)
          & ~ c2_1(a858) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a859)
          & ~ c1_1(a859)
          & ~ c3_1(a859) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a861)
          & c2_1(a861)
          & ~ c1_1(a861) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a863)
          & c3_1(a863)
          & ~ c2_1(a863) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a864)
          & ~ c0_1(a864)
          & ~ c2_1(a864) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a865)
          & ~ c0_1(a865)
          & ~ c1_1(a865) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a866)
          & c1_1(a866)
          & ~ c3_1(a866) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a868)
          & ~ c1_1(a868)
          & ~ c3_1(a868) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a884)
          & c3_1(a884)
          & ~ c2_1(a884) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c2_1(a890)
          & ~ c0_1(a890)
          & ~ c3_1(a890) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a901)
          & ~ c2_1(a901)
          & ~ c3_1(a901) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c2_1(a919)
          & c3_1(a919)
          & ~ c0_1(a919) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a839)
          & c1_1(a839)
          & c3_1(a839) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a849)
          & c1_1(a849)
          & c2_1(a849) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c1_1(a857)
          & c2_1(a857)
          & c3_1(a857) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a875)
          & c2_1(a875)
          & c3_1(a875) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_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)
              | ~ c3_1(X3) ) )
        | hskp1 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | ~ c1_1(X5)
              | ~ c3_1(X5) ) )
        | hskp2 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | ~ c2_1(X7)
              | ~ c3_1(X7) ) )
        | hskp3 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c0_1(X9)
              | ~ c2_1(X9)
              | ~ c3_1(X9) ) )
        | hskp4 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | hskp5
        | hskp4 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c1_1(X12)
              | c2_1(X12)
              | ~ c0_1(X12) ) )
        | hskp6 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | ~ c1_1(X14)
              | ~ c3_1(X14) ) )
        | hskp7 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | ~ c2_1(X16)
              | ~ c3_1(X16) ) )
        | hskp5 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c0_1(X18)
              | ~ c2_1(X18)
              | ~ c3_1(X18) ) )
        | hskp8 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | c3_1(X19) ) )
        | hskp28
        | hskp1 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | hskp9
        | hskp0 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | ~ c1_1(X22)
              | ~ c2_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | ~ c2_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | c3_1(X25)
              | ~ c0_1(X25) ) )
        | hskp10 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c0_1(X27)
              | ~ c1_1(X27)
              | ~ c2_1(X27) ) )
        | hskp11 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | hskp12
        | hskp13 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | hskp11
        | hskp4 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | ~ c1_1(X30) ) )
        | hskp29
        | hskp3 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | ~ c1_1(X31) ) )
        | hskp14
        | hskp12 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c0_1(X33)
              | ~ c1_1(X33) ) )
        | hskp15 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | ~ c0_1(X35)
              | ~ c1_1(X35) ) )
        | hskp29 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | ~ c0_1(X37)
              | ~ c2_1(X37) ) )
        | hskp4 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | ~ c1_1(X39)
              | ~ c2_1(X39) ) )
        | hskp2 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | hskp30
        | hskp16 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c1_1(X41) ) )
        | hskp17
        | hskp4 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c3_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | ~ c1_1(X43)
              | ~ c3_1(X43) ) )
        | hskp18 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c2_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c1_1(X45)
              | ~ c3_1(X45) ) )
        | hskp11 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c2_1(X46) ) )
        | hskp19
        | hskp20 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c1_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | c2_1(X48)
              | ~ c3_1(X48) ) )
        | hskp21 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | c3_1(X50)
              | ~ c0_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c2_1(X51)
              | ~ c3_1(X51) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c2_1(X52) ) )
        | hskp22
        | hskp19 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c1_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | c3_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c3_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | ~ c2_1(X57)
              | ~ c3_1(X57) ) )
        | hskp23 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | ~ c0_1(X59)
              | ~ c3_1(X59) ) )
        | hskp5 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c2_1(X60)
              | ~ c3_1(X60) ) )
        | hskp2
        | hskp12 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c2_1(X61)
              | c3_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | ~ c0_1(X62)
              | ~ c2_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c3_1(X63)
              | ~ c0_1(X63)
              | ~ c2_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c2_1(X64)
              | c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | ~ c0_1(X65)
              | ~ c1_1(X65) ) )
        | hskp29 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | c3_1(X66) ) )
        | hskp9
        | hskp2 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | c3_1(X67) ) )
        | hskp31
        | hskp19 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c0_1(X69)
              | ~ c3_1(X69) ) )
        | hskp3 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c0_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | ~ c0_1(X71)
              | ~ c1_1(X71) ) )
        | hskp17 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c0_1(X73)
              | ~ c2_1(X73) ) )
        | hskp14 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c0_1(X74) ) )
        | hskp9
        | hskp7 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c0_1(X75) ) )
        | hskp19
        | hskp11 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c3_1(X77)
              | ~ c0_1(X77) ) )
        | hskp24 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c3_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | hskp13 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c1_1(X81)
              | ~ c3_1(X81) ) )
        | hskp17 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp28
        | hskp3 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c0_1(X84)
              | ~ c1_1(X84) ) )
        | hskp31 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp25 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c3_1(X87)
              | ~ c2_1(X87) ) )
        | hskp28
        | hskp7 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c2_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c3_1(X89)
              | ~ c1_1(X89)
              | ~ c2_1(X89) ) )
        | hskp28 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c1_1(X91)
              | ~ c2_1(X91) ) )
        | hskp30 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) )
        | hskp22
        | hskp8 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c1_1(X93)
              | ~ c0_1(X93)
              | ~ c3_1(X93) ) )
        | hskp13
        | hskp1 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c2_1(X94)
              | ~ c3_1(X94) ) )
        | hskp5
        | hskp16 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c0_1(X95) ) )
        | hskp26
        | hskp20 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | c3_1(X96)
              | ~ c0_1(X96) ) )
        | hskp0
        | hskp3 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | c3_1(X97)
              | ~ c1_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c3_1(X98)
              | ~ c1_1(X98)
              | ~ c2_1(X98) ) )
        | hskp17 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c0_1(X99)
              | ~ c1_1(X99) ) )
        | hskp24
        | hskp4 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c0_1(X100)
              | ~ c3_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | ~ c1_1(X101)
              | ~ c2_1(X101) ) )
        | hskp14 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | ~ c0_1(X102)
              | ~ c3_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c0_1(X103)
              | ~ c1_1(X103)
              | ~ c3_1(X103) ) )
        | hskp25 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | ~ c0_1(X104)
              | ~ c3_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c2_1(X105)
              | ~ c3_1(X105) ) )
        | hskp18 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | ~ c0_1(X106)
              | ~ c3_1(X106) ) )
        | hskp19
        | hskp0 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c3_1(X107)
              | ~ c0_1(X107)
              | ~ c1_1(X107) ) )
        | hskp22
        | hskp4 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c2_1(X108) ) )
        | hskp16
        | hskp6 )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c1_1(X109)
              | ~ c2_1(X109) ) )
        | hskp29
        | hskp8 )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c1_1(X110)
              | ~ c3_1(X110) ) )
        | hskp27
        | hskp25 )
      & ( ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | ~ c3_1(X111) ) )
        | hskp25
        | hskp1 )
      & ( hskp28
        | hskp10 )
      & ( hskp9
        | hskp22
        | hskp6 )
      & ( hskp9
        | hskp14
        | hskp4 )
      & ( hskp31
        | hskp8
        | hskp16 )
      & ( hskp7
        | hskp10
        | hskp21 )
      & ( hskp7
        | hskp21 )
      & ( hskp19
        | hskp30
        | hskp23 )
      & ( hskp2
        | hskp17
        | hskp16 )
      & ( hskp0
        | hskp11
        | hskp1 )
      & ( hskp14
        | hskp21 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a828)
            & c2_1(a828)
            & ~ c0_1(a828) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c0_1(a829)
            & ~ c1_1(a829)
            & ~ c3_1(a829) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a830)
            & ~ c1_1(a830)
            & ~ c2_1(a830) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c2_1(a831)
            & c3_1(a831)
            & ~ c1_1(a831) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c1_1(a832)
            & ~ c2_1(a832)
            & ~ c3_1(a832) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a833)
            & c2_1(a833)
            & ~ c3_1(a833) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a835)
            & ~ c2_1(a835)
            & ~ c3_1(a835) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a836)
            & c3_1(a836)
            & ~ c1_1(a836) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a838)
            & ~ c2_1(a838)
            & ~ c3_1(a838) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a841)
            & c1_1(a841)
            & ~ c2_1(a841) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a843)
            & ~ c0_1(a843)
            & ~ c3_1(a843) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a844)
            & ~ c1_1(a844)
            & ~ c2_1(a844) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a845)
            & ~ c0_1(a845)
            & ~ c1_1(a845) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a846)
            & ~ c0_1(a846)
            & ~ c2_1(a846) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a851)
            & c2_1(a851)
            & ~ c3_1(a851) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a853)
            & c3_1(a853)
            & ~ c0_1(a853) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & ~ c0_1(a858)
            & ~ c1_1(a858)
            & ~ c2_1(a858) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a859)
            & ~ c1_1(a859)
            & ~ c3_1(a859) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a861)
            & c2_1(a861)
            & ~ c1_1(a861) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a863)
            & c3_1(a863)
            & ~ c2_1(a863) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a864)
            & ~ c0_1(a864)
            & ~ c2_1(a864) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a865)
            & ~ c0_1(a865)
            & ~ c1_1(a865) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a866)
            & c1_1(a866)
            & ~ c3_1(a866) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a868)
            & ~ c1_1(a868)
            & ~ c3_1(a868) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a884)
            & c3_1(a884)
            & ~ c2_1(a884) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c2_1(a890)
            & ~ c0_1(a890)
            & ~ c3_1(a890) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a901)
            & ~ c2_1(a901)
            & ~ c3_1(a901) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c2_1(a919)
            & c3_1(a919)
            & ~ c0_1(a919) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a839)
            & c1_1(a839)
            & c3_1(a839) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a849)
            & c1_1(a849)
            & c2_1(a849) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c1_1(a857)
            & c2_1(a857)
            & c3_1(a857) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a875)
            & c2_1(a875)
            & c3_1(a875) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_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)
                | ~ c3_1(X3) ) )
          | hskp1 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c1_1(X5)
                | ~ c3_1(X5) ) )
          | hskp2 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c2_1(X7)
                | ~ c3_1(X7) ) )
          | hskp3 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | ~ c2_1(X9)
                | ~ c3_1(X9) ) )
          | hskp4 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | hskp5
          | hskp4 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c1_1(X12)
                | c2_1(X12)
                | ~ c0_1(X12) ) )
          | hskp6 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | ~ c1_1(X14)
                | ~ c3_1(X14) ) )
          | hskp7 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | ~ c2_1(X16)
                | ~ c3_1(X16) ) )
          | hskp5 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c2_1(X18)
                | ~ c3_1(X18) ) )
          | hskp8 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | c3_1(X19) ) )
          | hskp28
          | hskp1 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | hskp9
          | hskp0 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | ~ c1_1(X22)
                | ~ c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c3_1(X25)
                | ~ c0_1(X25) ) )
          | hskp10 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp11 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | hskp12
          | hskp13 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | hskp11
          | hskp4 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | ~ c1_1(X30) ) )
          | hskp29
          | hskp3 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) )
          | hskp14
          | hskp12 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c0_1(X33)
                | ~ c1_1(X33) ) )
          | hskp15 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | ~ c0_1(X35)
                | ~ c1_1(X35) ) )
          | hskp29 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c0_1(X37)
                | ~ c2_1(X37) ) )
          | hskp4 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | ~ c1_1(X39)
                | ~ c2_1(X39) ) )
          | hskp2 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | hskp30
          | hskp16 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c1_1(X41) ) )
          | hskp17
          | hskp4 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | ~ c1_1(X43)
                | ~ c3_1(X43) ) )
          | hskp18 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c1_1(X45)
                | ~ c3_1(X45) ) )
          | hskp11 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | hskp19
          | hskp20 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp21 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c2_1(X51)
                | ~ c3_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c2_1(X52) ) )
          | hskp22
          | hskp19 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c1_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c3_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp23 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c0_1(X59)
                | ~ c3_1(X59) ) )
          | hskp5 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c2_1(X60)
                | ~ c3_1(X60) ) )
          | hskp2
          | hskp12 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c0_1(X62)
                | ~ c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | ~ c0_1(X63)
                | ~ c2_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c2_1(X64)
                | c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c0_1(X65)
                | ~ c1_1(X65) ) )
          | hskp29 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | c3_1(X66) ) )
          | hskp9
          | hskp2 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | c3_1(X67) ) )
          | hskp31
          | hskp19 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c0_1(X69)
                | ~ c3_1(X69) ) )
          | hskp3 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | ~ c0_1(X71)
                | ~ c1_1(X71) ) )
          | hskp17 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c0_1(X73)
                | ~ c2_1(X73) ) )
          | hskp14 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c0_1(X74) ) )
          | hskp9
          | hskp7 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c0_1(X75) ) )
          | hskp19
          | hskp11 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c3_1(X77)
                | ~ c0_1(X77) ) )
          | hskp24 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c3_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | hskp13 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c1_1(X81)
                | ~ c3_1(X81) ) )
          | hskp17 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp28
          | hskp3 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) )
          | hskp31 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp25 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c3_1(X87)
                | ~ c2_1(X87) ) )
          | hskp28
          | hskp7 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | ~ c1_1(X89)
                | ~ c2_1(X89) ) )
          | hskp28 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c2_1(X91) ) )
          | hskp30 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) )
          | hskp22
          | hskp8 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c0_1(X93)
                | ~ c3_1(X93) ) )
          | hskp13
          | hskp1 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) )
          | hskp5
          | hskp16 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c0_1(X95) ) )
          | hskp26
          | hskp20 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c3_1(X96)
                | ~ c0_1(X96) ) )
          | hskp0
          | hskp3 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | c3_1(X97)
                | ~ c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c3_1(X98)
                | ~ c1_1(X98)
                | ~ c2_1(X98) ) )
          | hskp17 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | hskp24
          | hskp4 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c0_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | ~ c1_1(X101)
                | ~ c2_1(X101) ) )
          | hskp14 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | ~ c0_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | ~ c1_1(X103)
                | ~ c3_1(X103) ) )
          | hskp25 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c0_1(X104)
                | ~ c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c2_1(X105)
                | ~ c3_1(X105) ) )
          | hskp18 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c0_1(X106)
                | ~ c3_1(X106) ) )
          | hskp19
          | hskp0 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c0_1(X107)
                | ~ c1_1(X107) ) )
          | hskp22
          | hskp4 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c2_1(X108) ) )
          | hskp16
          | hskp6 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c1_1(X109)
                | ~ c2_1(X109) ) )
          | hskp29
          | hskp8 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c3_1(X110) ) )
          | hskp27
          | hskp25 )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c3_1(X111) ) )
          | hskp25
          | hskp1 )
        & ( hskp28
          | hskp10 )
        & ( hskp9
          | hskp22
          | hskp6 )
        & ( hskp9
          | hskp14
          | hskp4 )
        & ( hskp31
          | hskp8
          | hskp16 )
        & ( hskp7
          | hskp10
          | hskp21 )
        & ( hskp7
          | hskp21 )
        & ( hskp19
          | hskp30
          | hskp23 )
        & ( hskp2
          | hskp17
          | hskp16 )
        & ( hskp0
          | hskp11
          | hskp1 )
        & ( hskp14
          | hskp21 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a828)
        & c2_1(a828)
        & ~ c0_1(a828) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a829)
        & ~ c1_1(a829)
        & ~ c3_1(a829) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a830)
        & ~ c1_1(a830)
        & ~ c2_1(a830) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a831)
        & c3_1(a831)
        & ~ c1_1(a831) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a832)
        & ~ c2_1(a832)
        & ~ c3_1(a832) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a833)
        & c2_1(a833)
        & ~ c3_1(a833) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a835)
        & ~ c2_1(a835)
        & ~ c3_1(a835) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a836)
        & c3_1(a836)
        & ~ c1_1(a836) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a838)
        & ~ c2_1(a838)
        & ~ c3_1(a838) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a841)
        & c1_1(a841)
        & ~ c2_1(a841) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a843)
        & ~ c0_1(a843)
        & ~ c3_1(a843) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a844)
        & ~ c1_1(a844)
        & ~ c2_1(a844) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a845)
        & ~ c0_1(a845)
        & ~ c1_1(a845) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a846)
        & ~ c0_1(a846)
        & ~ c2_1(a846) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a851)
        & c2_1(a851)
        & ~ c3_1(a851) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a853)
        & c3_1(a853)
        & ~ c0_1(a853) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a858)
        & ~ c1_1(a858)
        & ~ c2_1(a858) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a859)
        & ~ c1_1(a859)
        & ~ c3_1(a859) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a861)
        & c2_1(a861)
        & ~ c1_1(a861) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a863)
        & c3_1(a863)
        & ~ c2_1(a863) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a864)
        & ~ c0_1(a864)
        & ~ c2_1(a864) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a865)
        & ~ c0_1(a865)
        & ~ c1_1(a865) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a866)
        & c1_1(a866)
        & ~ c3_1(a866) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a868)
        & ~ c1_1(a868)
        & ~ c3_1(a868) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a884)
        & c3_1(a884)
        & ~ c2_1(a884) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a890)
        & ~ c0_1(a890)
        & ~ c3_1(a890) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a901)
        & ~ c2_1(a901)
        & ~ c3_1(a901) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a919)
        & c3_1(a919)
        & ~ c0_1(a919) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a839)
        & c1_1(a839)
        & c3_1(a839) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a849)
        & c1_1(a849)
        & c2_1(a849) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a857)
        & c2_1(a857)
        & c3_1(a857) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a875)
        & c2_1(a875)
        & c3_1(a875) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_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)
            | ~ c3_1(X3) ) )
      | hskp1 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c2_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | ~ c1_1(X5)
            | ~ c3_1(X5) ) )
      | hskp2 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c0_1(X7)
            | ~ c2_1(X7)
            | ~ c3_1(X7) ) )
      | hskp3 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c0_1(X9)
            | ~ c2_1(X9)
            | ~ c3_1(X9) ) )
      | hskp4 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) )
      | hskp5
      | hskp4 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c3_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c1_1(X12)
            | c2_1(X12)
            | ~ c0_1(X12) ) )
      | hskp6 )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | ~ c1_1(X14)
            | ~ c3_1(X14) ) )
      | hskp7 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | ~ c2_1(X16)
            | ~ c3_1(X16) ) )
      | hskp5 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | ~ c2_1(X18)
            | ~ c3_1(X18) ) )
      | hskp8 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | c3_1(X19) ) )
      | hskp28
      | hskp1 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c1_1(X20)
            | ~ c2_1(X20) ) )
      | hskp9
      | hskp0 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | ~ c1_1(X22)
            | ~ c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | ~ c2_1(X23)
            | ~ c3_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c2_1(X24)
            | c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | c3_1(X25)
            | ~ c0_1(X25) ) )
      | hskp10 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) )
      | hskp11 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | hskp12
      | hskp13 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c2_1(X29)
            | c3_1(X29) ) )
      | hskp11
      | hskp4 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c2_1(X30)
            | ~ c1_1(X30) ) )
      | hskp29
      | hskp3 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | ~ c1_1(X31) ) )
      | hskp14
      | hskp12 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | c2_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | ~ c0_1(X33)
            | ~ c1_1(X33) ) )
      | hskp15 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | ~ c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c3_1(X35)
            | ~ c0_1(X35)
            | ~ c1_1(X35) ) )
      | hskp29 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | c2_1(X36)
            | ~ c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | ~ c0_1(X37)
            | ~ c2_1(X37) ) )
      | hskp4 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | ~ c1_1(X39)
            | ~ c2_1(X39) ) )
      | hskp2 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c2_1(X40)
            | ~ c3_1(X40) ) )
      | hskp30
      | hskp16 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c3_1(X41)
            | ~ c1_1(X41) ) )
      | hskp17
      | hskp4 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c0_1(X42)
            | c3_1(X42)
            | ~ c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | ~ c1_1(X43)
            | ~ c3_1(X43) ) )
      | hskp18 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | ~ c1_1(X45)
            | ~ c3_1(X45) ) )
      | hskp11 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c2_1(X46) ) )
      | hskp19
      | hskp20 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c1_1(X47)
            | ~ c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c2_1(X48)
            | ~ c3_1(X48) ) )
      | hskp21 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | c3_1(X50)
            | ~ c0_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | ~ c2_1(X51)
            | ~ c3_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( c0_1(X52)
            | ~ c1_1(X52)
            | ~ c2_1(X52) ) )
      | hskp22
      | hskp19 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c1_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c3_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | ~ c1_1(X55)
            | ~ c3_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c0_1(X56)
            | ~ c1_1(X56)
            | ~ c3_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | ~ c2_1(X57)
            | ~ c3_1(X57) ) )
      | hskp23 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c2_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | ~ c0_1(X59)
            | ~ c3_1(X59) ) )
      | hskp5 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c2_1(X60)
            | ~ c3_1(X60) ) )
      | hskp2
      | hskp12 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c2_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | ~ c0_1(X62)
            | ~ c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c3_1(X63)
            | ~ c0_1(X63)
            | ~ c2_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c2_1(X64)
            | c3_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c3_1(X65)
            | ~ c0_1(X65)
            | ~ c1_1(X65) ) )
      | hskp29 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c2_1(X66)
            | c3_1(X66) ) )
      | hskp9
      | hskp2 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | c2_1(X67)
            | c3_1(X67) ) )
      | hskp31
      | hskp19 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c2_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | ~ c0_1(X69)
            | ~ c3_1(X69) ) )
      | hskp3 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c2_1(X70)
            | ~ c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | ~ c0_1(X71)
            | ~ c1_1(X71) ) )
      | hskp17 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c2_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | ~ c0_1(X73)
            | ~ c2_1(X73) ) )
      | hskp14 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | c2_1(X74)
            | ~ c0_1(X74) ) )
      | hskp9
      | hskp7 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c1_1(X75)
            | c2_1(X75)
            | ~ c0_1(X75) ) )
      | hskp19
      | hskp11 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c2_1(X76)
            | ~ c3_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | c3_1(X77)
            | ~ c0_1(X77) ) )
      | hskp24 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | c2_1(X78)
            | ~ c3_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | c3_1(X79)
            | ~ c0_1(X79) ) )
      | hskp13 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c1_1(X80)
            | c2_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | ~ c1_1(X81)
            | ~ c3_1(X81) ) )
      | hskp17 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp28
      | hskp3 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c3_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c2_1(X84)
            | ~ c0_1(X84)
            | ~ c1_1(X84) ) )
      | hskp31 )
    & ( ! [X85] :
          ( ndr1_0
         => ( c1_1(X85)
            | c3_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c2_1(X86)
            | ~ c3_1(X86) ) )
      | hskp25 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | c3_1(X87)
            | ~ c2_1(X87) ) )
      | hskp28
      | hskp7 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c0_1(X88)
            | ~ c2_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | ~ c1_1(X89)
            | ~ c2_1(X89) ) )
      | hskp28 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c0_1(X90)
            | ~ c3_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | ~ c1_1(X91)
            | ~ c2_1(X91) ) )
      | hskp30 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c0_1(X92)
            | ~ c3_1(X92) ) )
      | hskp22
      | hskp8 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | ~ c0_1(X93)
            | ~ c3_1(X93) ) )
      | hskp13
      | hskp1 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c1_1(X94)
            | ~ c2_1(X94)
            | ~ c3_1(X94) ) )
      | hskp5
      | hskp16 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | c3_1(X95)
            | ~ c0_1(X95) ) )
      | hskp26
      | hskp20 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | c3_1(X96)
            | ~ c0_1(X96) ) )
      | hskp0
      | hskp3 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | c3_1(X97)
            | ~ c1_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( c3_1(X98)
            | ~ c1_1(X98)
            | ~ c2_1(X98) ) )
      | hskp17 )
    & ( ! [X99] :
          ( ndr1_0
         => ( c2_1(X99)
            | ~ c0_1(X99)
            | ~ c1_1(X99) ) )
      | hskp24
      | hskp4 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c2_1(X100)
            | ~ c0_1(X100)
            | ~ c3_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c0_1(X101)
            | ~ c1_1(X101)
            | ~ c2_1(X101) ) )
      | hskp14 )
    & ( ! [X102] :
          ( ndr1_0
         => ( c2_1(X102)
            | ~ c0_1(X102)
            | ~ c3_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | ~ c1_1(X103)
            | ~ c3_1(X103) ) )
      | hskp25 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | ~ c0_1(X104)
            | ~ c3_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | ~ c2_1(X105)
            | ~ c3_1(X105) ) )
      | hskp18 )
    & ( ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | ~ c0_1(X106)
            | ~ c3_1(X106) ) )
      | hskp19
      | hskp0 )
    & ( ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | ~ c0_1(X107)
            | ~ c1_1(X107) ) )
      | hskp22
      | hskp4 )
    & ( ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | ~ c0_1(X108)
            | ~ c2_1(X108) ) )
      | hskp16
      | hskp6 )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c0_1(X109)
            | ~ c1_1(X109)
            | ~ c2_1(X109) ) )
      | hskp29
      | hskp8 )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c0_1(X110)
            | ~ c1_1(X110)
            | ~ c3_1(X110) ) )
      | hskp27
      | hskp25 )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c0_1(X111)
            | ~ c1_1(X111)
            | ~ c3_1(X111) ) )
      | hskp25
      | hskp1 )
    & ( hskp28
      | hskp10 )
    & ( hskp9
      | hskp22
      | hskp6 )
    & ( hskp9
      | hskp14
      | hskp4 )
    & ( hskp31
      | hskp8
      | hskp16 )
    & ( hskp7
      | hskp10
      | hskp21 )
    & ( hskp7
      | hskp21 )
    & ( hskp19
      | hskp30
      | hskp23 )
    & ( hskp2
      | hskp17
      | hskp16 )
    & ( hskp0
      | hskp11
      | hskp1 )
    & ( hskp14
      | hskp21 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a828)
        & c2_1(a828)
        & ~ c0_1(a828) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a829)
        & ~ c1_1(a829)
        & ~ c3_1(a829) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a830)
        & ~ c1_1(a830)
        & ~ c2_1(a830) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a831)
        & c3_1(a831)
        & ~ c1_1(a831) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a832)
        & ~ c2_1(a832)
        & ~ c3_1(a832) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a833)
        & c2_1(a833)
        & ~ c3_1(a833) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a835)
        & ~ c2_1(a835)
        & ~ c3_1(a835) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a836)
        & c3_1(a836)
        & ~ c1_1(a836) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a838)
        & ~ c2_1(a838)
        & ~ c3_1(a838) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a841)
        & c1_1(a841)
        & ~ c2_1(a841) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a843)
        & ~ c0_1(a843)
        & ~ c3_1(a843) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a844)
        & ~ c1_1(a844)
        & ~ c2_1(a844) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a845)
        & ~ c0_1(a845)
        & ~ c1_1(a845) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a846)
        & ~ c0_1(a846)
        & ~ c2_1(a846) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a851)
        & c2_1(a851)
        & ~ c3_1(a851) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a853)
        & c3_1(a853)
        & ~ c0_1(a853) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a858)
        & ~ c1_1(a858)
        & ~ c2_1(a858) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a859)
        & ~ c1_1(a859)
        & ~ c3_1(a859) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a861)
        & c2_1(a861)
        & ~ c1_1(a861) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a863)
        & c3_1(a863)
        & ~ c2_1(a863) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a864)
        & ~ c0_1(a864)
        & ~ c2_1(a864) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a865)
        & ~ c0_1(a865)
        & ~ c1_1(a865) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a866)
        & c1_1(a866)
        & ~ c3_1(a866) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a868)
        & ~ c1_1(a868)
        & ~ c3_1(a868) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a884)
        & c3_1(a884)
        & ~ c2_1(a884) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a890)
        & ~ c0_1(a890)
        & ~ c3_1(a890) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a901)
        & ~ c2_1(a901)
        & ~ c3_1(a901) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a919)
        & c3_1(a919)
        & ~ c0_1(a919) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a839)
        & c1_1(a839)
        & c3_1(a839) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a849)
        & c1_1(a849)
        & c2_1(a849) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a857)
        & c2_1(a857)
        & c3_1(a857) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a875)
        & c2_1(a875)
        & c3_1(a875) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_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)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c2_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | hskp28
      | hskp1 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp9
      | hskp0 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | hskp11
      | hskp4 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp29
      | hskp3 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp14
      | hskp12 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c0_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c3_1(X35)
          | ~ c0_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c0_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp30
      | hskp16 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp17
      | hskp4 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c0_1(X43)
          | ~ c1_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp22
      | hskp19 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | ~ c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp2
      | hskp12 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | ~ c0_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c3_1(X63)
          | ~ c0_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | hskp9
      | hskp2 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | hskp31
      | hskp19 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp9
      | hskp7 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp19
      | hskp11 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp22
      | hskp8 )
    & ( ! [X93] :
          ( c1_1(X93)
          | ~ c0_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp5
      | hskp16 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | hskp26
      | hskp20 )
    & ( ! [X96] :
          ( c2_1(X96)
          | c3_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | hskp0
      | hskp3 )
    & ( ! [X97] :
          ( c2_1(X97)
          | c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | ~ c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp24
      | hskp4 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X104] :
          ( c2_1(X104)
          | ~ c0_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp19
      | hskp0 )
    & ( ! [X107] :
          ( c3_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp22
      | hskp4 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp16
      | hskp6 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp29
      | hskp8 )
    & ( ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp27
      | hskp25 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp25
      | hskp1 )
    & ( hskp28
      | hskp10 )
    & ( hskp9
      | hskp22
      | hskp6 )
    & ( hskp9
      | hskp14
      | hskp4 )
    & ( hskp31
      | hskp8
      | hskp16 )
    & ( hskp7
      | hskp10
      | hskp21 )
    & ( hskp7
      | hskp21 )
    & ( hskp19
      | hskp30
      | hskp23 )
    & ( hskp2
      | hskp17
      | hskp16 )
    & ( hskp0
      | hskp11
      | hskp1 )
    & ( hskp14
      | hskp21 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a828)
        & c2_1(a828)
        & ~ c0_1(a828) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a829)
        & ~ c1_1(a829)
        & ~ c3_1(a829) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a830)
        & ~ c1_1(a830)
        & ~ c2_1(a830) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a831)
        & c3_1(a831)
        & ~ c1_1(a831) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c1_1(a832)
        & ~ c2_1(a832)
        & ~ c3_1(a832) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a833)
        & c2_1(a833)
        & ~ c3_1(a833) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a835)
        & ~ c2_1(a835)
        & ~ c3_1(a835) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a836)
        & c3_1(a836)
        & ~ c1_1(a836) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a838)
        & ~ c2_1(a838)
        & ~ c3_1(a838) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a841)
        & c1_1(a841)
        & ~ c2_1(a841) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a843)
        & ~ c0_1(a843)
        & ~ c3_1(a843) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a844)
        & ~ c1_1(a844)
        & ~ c2_1(a844) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a845)
        & ~ c0_1(a845)
        & ~ c1_1(a845) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a846)
        & ~ c0_1(a846)
        & ~ c2_1(a846) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a851)
        & c2_1(a851)
        & ~ c3_1(a851) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a853)
        & c3_1(a853)
        & ~ c0_1(a853) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & ~ c0_1(a858)
        & ~ c1_1(a858)
        & ~ c2_1(a858) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a859)
        & ~ c1_1(a859)
        & ~ c3_1(a859) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a861)
        & c2_1(a861)
        & ~ c1_1(a861) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a863)
        & c3_1(a863)
        & ~ c2_1(a863) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a864)
        & ~ c0_1(a864)
        & ~ c2_1(a864) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a865)
        & ~ c0_1(a865)
        & ~ c1_1(a865) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a866)
        & c1_1(a866)
        & ~ c3_1(a866) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a868)
        & ~ c1_1(a868)
        & ~ c3_1(a868) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a884)
        & c3_1(a884)
        & ~ c2_1(a884) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c2_1(a890)
        & ~ c0_1(a890)
        & ~ c3_1(a890) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a901)
        & ~ c2_1(a901)
        & ~ c3_1(a901) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a919)
        & c3_1(a919)
        & ~ c0_1(a919) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a839)
        & c1_1(a839)
        & c3_1(a839) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a849)
        & c1_1(a849)
        & c2_1(a849) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c1_1(a857)
        & c2_1(a857)
        & c3_1(a857) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a875)
        & c2_1(a875)
        & c3_1(a875) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_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)
          | ~ c3_1(X3)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | hskp5
      | hskp4 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c1_1(X12)
          | c2_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | hskp28
      | hskp1 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | hskp9
      | hskp0 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c0_1(X22)
          | ~ c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c2_1(X24)
          | c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c2_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | hskp11
      | hskp4 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | hskp29
      | hskp3 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp14
      | hskp12 )
    & ( ! [X32] :
          ( c0_1(X32)
          | c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c0_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c3_1(X35)
          | ~ c0_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X36] :
          ( c0_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | ~ c0_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ c2_1(X39)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp30
      | hskp16 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | hskp17
      | hskp4 )
    & ( ! [X42] :
          ( c0_1(X42)
          | c3_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c0_1(X43)
          | ~ c1_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp19
      | hskp20 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c1_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( c0_1(X52)
          | ~ c1_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp22
      | hskp19 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c0_1(X56)
          | ~ c1_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ c2_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X58] :
          ( c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c1_1(X59)
          | ~ c0_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X60] :
          ( c0_1(X60)
          | ~ c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp2
      | hskp12 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c1_1(X62)
          | ~ c0_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( c3_1(X63)
          | ~ c0_1(X63)
          | ~ c2_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( c1_1(X64)
          | c2_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X66] :
          ( c1_1(X66)
          | c2_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | hskp9
      | hskp2 )
    & ( ! [X67] :
          ( c1_1(X67)
          | c2_1(X67)
          | c3_1(X67)
          | ~ ndr1_0 )
      | hskp31
      | hskp19 )
    & ( ! [X68] :
          ( c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c2_1(X69)
          | ~ c0_1(X69)
          | ~ c3_1(X69)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c2_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c3_1(X71)
          | ~ c0_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X72] :
          ( c1_1(X72)
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X74] :
          ( c1_1(X74)
          | c2_1(X74)
          | ~ c0_1(X74)
          | ~ ndr1_0 )
      | hskp9
      | hskp7 )
    & ( ! [X75] :
          ( c1_1(X75)
          | c2_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | hskp19
      | hskp11 )
    & ( ! [X76] :
          ( c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( c1_1(X77)
          | c3_1(X77)
          | ~ c0_1(X77)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X78] :
          ( c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | c3_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X80] :
          ( c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c2_1(X81)
          | ~ c1_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X82] :
          ( c1_1(X82)
          | c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp28
      | hskp3 )
    & ( ! [X83] :
          ( c1_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c2_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X85] :
          ( c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X87] :
          ( c1_1(X87)
          | c3_1(X87)
          | ~ c2_1(X87)
          | ~ ndr1_0 )
      | hskp28
      | hskp7 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c3_1(X89)
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ ndr1_0 )
      | hskp28 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ c2_1(X91)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92)
          | ~ ndr1_0 )
      | hskp22
      | hskp8 )
    & ( ! [X93] :
          ( c1_1(X93)
          | ~ c0_1(X93)
          | ~ c3_1(X93)
          | ~ ndr1_0 )
      | hskp13
      | hskp1 )
    & ( ! [X94] :
          ( c1_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94)
          | ~ ndr1_0 )
      | hskp5
      | hskp16 )
    & ( ! [X95] :
          ( c2_1(X95)
          | c3_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | hskp26
      | hskp20 )
    & ( ! [X96] :
          ( c2_1(X96)
          | c3_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | hskp0
      | hskp3 )
    & ( ! [X97] :
          ( c2_1(X97)
          | c3_1(X97)
          | ~ c1_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( c3_1(X98)
          | ~ c1_1(X98)
          | ~ c2_1(X98)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X99] :
          ( c2_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp24
      | hskp4 )
    & ( ! [X100] :
          ( c2_1(X100)
          | ~ c0_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c0_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X102] :
          ( c2_1(X102)
          | ~ c0_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X104] :
          ( c2_1(X104)
          | ~ c0_1(X104)
          | ~ c3_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c1_1(X105)
          | ~ c2_1(X105)
          | ~ c3_1(X105)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X106] :
          ( c2_1(X106)
          | ~ c0_1(X106)
          | ~ c3_1(X106)
          | ~ ndr1_0 )
      | hskp19
      | hskp0 )
    & ( ! [X107] :
          ( c3_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | hskp22
      | hskp4 )
    & ( ! [X108] :
          ( c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108)
          | ~ ndr1_0 )
      | hskp16
      | hskp6 )
    & ( ! [X109] :
          ( ~ c0_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109)
          | ~ ndr1_0 )
      | hskp29
      | hskp8 )
    & ( ! [X110] :
          ( ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp27
      | hskp25 )
    & ( ! [X111] :
          ( ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp25
      | hskp1 )
    & ( hskp28
      | hskp10 )
    & ( hskp9
      | hskp22
      | hskp6 )
    & ( hskp9
      | hskp14
      | hskp4 )
    & ( hskp31
      | hskp8
      | hskp16 )
    & ( hskp7
      | hskp10
      | hskp21 )
    & ( hskp7
      | hskp21 )
    & ( hskp19
      | hskp30
      | hskp23 )
    & ( hskp2
      | hskp17
      | hskp16 )
    & ( hskp0
      | hskp11
      | hskp1 )
    & ( hskp14
      | hskp21 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp14
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp0
    | hskp11
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp2
    | hskp17
    | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp7
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp9
    | hskp22
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ( hskp28
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X111] :
      ( ~ c0_1(X111)
      | ~ c1_1(X111)
      | ~ c3_1(X111)
      | ~ ndr1_0
      | hskp25
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X110] :
      ( ~ c0_1(X110)
      | ~ c1_1(X110)
      | ~ c3_1(X110)
      | ~ ndr1_0
      | hskp27
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X102,X103] :
      ( c2_1(X102)
      | ~ c0_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | ~ c1_1(X103)
      | ~ c3_1(X103)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | ~ c0_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ c2_1(X101)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X98,X97] :
      ( c2_1(X97)
      | c3_1(X97)
      | ~ c1_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | ~ c1_1(X98)
      | ~ c2_1(X98)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X93] :
      ( c1_1(X93)
      | ~ c0_1(X93)
      | ~ c3_1(X93)
      | ~ ndr1_0
      | hskp13
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X92] :
      ( c1_1(X92)
      | ~ c0_1(X92)
      | ~ c3_1(X92)
      | ~ ndr1_0
      | hskp22
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X90,X91] :
      ( c1_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | ~ c0_1(X91)
      | ~ c1_1(X91)
      | ~ c2_1(X91)
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X88,X89] :
      ( c1_1(X88)
      | ~ c0_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | ~ c1_1(X89)
      | ~ c2_1(X89)
      | ~ ndr1_0
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | ~ c1_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c3_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | c2_1(X84)
      | ~ c0_1(X84)
      | ~ c1_1(X84)
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X82] :
      ( c1_1(X82)
      | c2_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | hskp28
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X78,X79] :
      ( c1_1(X78)
      | c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c1_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c1_1(X77)
      | c3_1(X77)
      | ~ c0_1(X77)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X75] :
      ( c1_1(X75)
      | c2_1(X75)
      | ~ c0_1(X75)
      | ~ ndr1_0
      | hskp19
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X74] :
      ( c1_1(X74)
      | c2_1(X74)
      | ~ c0_1(X74)
      | ~ ndr1_0
      | hskp9
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | c3_1(X73)
      | ~ c0_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ c1_1(X71)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X67] :
      ( c1_1(X67)
      | c2_1(X67)
      | c3_1(X67)
      | ~ ndr1_0
      | hskp31
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X66] :
      ( c1_1(X66)
      | c2_1(X66)
      | c3_1(X66)
      | ~ ndr1_0
      | hskp9
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c2_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c0_1(X65)
      | ~ c1_1(X65)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X62,X63,X61] :
      ( c1_1(X61)
      | c2_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | ~ c0_1(X62)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | c3_1(X63)
      | ~ c0_1(X63)
      | ~ c2_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | ~ c0_1(X59)
      | ~ c3_1(X59)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c3_1(X54)
      | ~ c0_1(X54)
      | ~ ndr1_0
      | c2_1(X55)
      | ~ c1_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X52] :
      ( c0_1(X52)
      | ~ c1_1(X52)
      | ~ c2_1(X52)
      | ~ ndr1_0
      | hskp22
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X50,X51,X49] :
      ( c0_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c2_1(X50)
      | c3_1(X50)
      | ~ c0_1(X50)
      | ~ ndr1_0
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | c2_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X46] :
      ( c0_1(X46)
      | c3_1(X46)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | hskp19
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | ~ c1_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X42,X43] :
      ( c0_1(X42)
      | c3_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | c0_1(X43)
      | ~ c1_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | ~ c1_1(X39)
      | ~ c2_1(X39)
      | ~ ndr1_0
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | ~ c0_1(X37)
      | ~ c2_1(X37)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | c3_1(X35)
      | ~ c0_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | ~ c0_1(X33)
      | ~ c1_1(X33)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X31] :
      ( c0_1(X31)
      | c2_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | hskp14
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X30] :
      ( c0_1(X30)
      | c2_1(X30)
      | ~ c1_1(X30)
      | ~ ndr1_0
      | hskp29
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X29] :
      ( c0_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | hskp11
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X28] :
      ( c0_1(X28)
      | c2_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | hskp12
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | ~ c1_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X20] :
      ( c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | hskp9
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ~ hskp31
    | c3_1(a875) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp31
    | c2_1(a875) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp31
    | c0_1(a875) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ~ hskp30
    | c3_1(a857) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp30
    | c2_1(a857) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp30
    | c1_1(a857) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f93,plain,
    ( ~ hskp29
    | c2_1(a849) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp29
    | c1_1(a849) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp29
    | c0_1(a849) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ~ hskp28
    | c3_1(a839) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp28
    | c1_1(a839) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp28
    | c0_1(a839) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ hskp27
    | ~ c0_1(a919) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp27
    | c3_1(a919) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp27
    | c2_1(a919) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ~ hskp25
    | ~ c3_1(a890) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp25
    | ~ c0_1(a890) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp25
    | c2_1(a890) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f113,plain,
    ( ~ hskp24
    | ~ c2_1(a884) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp24
    | c3_1(a884) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp24
    | c1_1(a884) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ hskp22
    | ~ c3_1(a866) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp22
    | c1_1(a866) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp22
    | c0_1(a866) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f125,plain,
    ( ~ hskp21
    | ~ c1_1(a865) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp21
    | ~ c0_1(a865) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp21
    | c2_1(a865) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp21
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ hskp20
    | ~ c2_1(a864) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp20
    | c1_1(a864) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ~ hskp19
    | ~ c2_1(a863) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp19
    | c3_1(a863) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp19
    | c0_1(a863) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ~ hskp18
    | ~ c1_1(a861) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp18
    | c2_1(a861) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp18
    | c0_1(a861) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    ( ~ hskp17
    | ~ c3_1(a859) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp17
    | ~ c1_1(a859) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp17
    | c0_1(a859) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    ( ~ hskp16
    | ~ c2_1(a858) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp16
    | ~ c1_1(a858) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp16
    | ~ c0_1(a858) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ~ hskp15
    | ~ c0_1(a853) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp15
    | c3_1(a853) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp15
    | c1_1(a853) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ~ hskp14
    | ~ c3_1(a851) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp14
    | c2_1(a851) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp14
    | c1_1(a851) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ hskp13
    | ~ c2_1(a846) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp13
    | ~ c0_1(a846) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp13
    | c3_1(a846) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    ( ~ hskp12
    | ~ c1_1(a845) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp12
    | ~ c0_1(a845) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp12
    | c3_1(a845) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f165,plain,
    ( ~ hskp11
    | ~ c2_1(a844) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp11
    | ~ c1_1(a844) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp11
    | c3_1(a844) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ~ hskp10
    | ~ c3_1(a843) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp10
    | ~ c0_1(a843) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp10
    | c1_1(a843) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ~ hskp9
    | ~ c2_1(a841) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp9
    | c1_1(a841) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp9
    | c0_1(a841) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ hskp8
    | ~ c3_1(a838) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp8
    | ~ c2_1(a838) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp8
    | c1_1(a838) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ hskp7
    | ~ c1_1(a836) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp7
    | c3_1(a836) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp7
    | c0_1(a836) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f185,plain,
    ( ~ hskp6
    | ~ c3_1(a835) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp6
    | ~ c2_1(a835) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp6
    | ~ c0_1(a835) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ~ hskp5
    | ~ c3_1(a833) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp5
    | c2_1(a833) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp5
    | c0_1(a833) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ hskp4
    | ~ c3_1(a832) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp4
    | ~ c2_1(a832) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp4
    | ~ c1_1(a832) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    ( ~ hskp3
    | ~ c1_1(a831) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp3
    | c3_1(a831) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp3
    | c2_1(a831) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f201,plain,
    ( ~ hskp2
    | ~ c2_1(a830) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ hskp2
    | ~ c1_1(a830) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp2
    | c0_1(a830) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f205,plain,
    ( ~ hskp1
    | ~ c3_1(a829) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp1
    | ~ c1_1(a829) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp1
    | ~ c0_1(a829) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f209,plain,
    ( ~ hskp0
    | ~ c0_1(a828) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ hskp0
    | c2_1(a828) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( ~ hskp0
    | c1_1(a828) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f214,plain,
    ! [X102,X103] :
      ( c2_1(X102)
      | ~ c0_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | ~ c0_1(X103)
      | ~ c1_1(X103)
      | ~ c3_1(X103)
      | hskp25 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f215,plain,
    ! [X101,X100] :
      ( c2_1(X100)
      | ~ c0_1(X100)
      | ~ c3_1(X100)
      | ~ ndr1_0
      | ~ c0_1(X101)
      | ~ c1_1(X101)
      | ~ c2_1(X101)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f24]) ).

fof(f216,plain,
    ! [X98,X97] :
      ( c2_1(X97)
      | c3_1(X97)
      | ~ c1_1(X97)
      | ~ ndr1_0
      | c3_1(X98)
      | ~ c1_1(X98)
      | ~ c2_1(X98)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f217,plain,
    ! [X90,X91] :
      ( c1_1(X90)
      | ~ c0_1(X90)
      | ~ c3_1(X90)
      | ~ ndr1_0
      | ~ c0_1(X91)
      | ~ c1_1(X91)
      | ~ c2_1(X91)
      | hskp30 ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f218,plain,
    ! [X88,X89] :
      ( c1_1(X88)
      | ~ c0_1(X88)
      | ~ c2_1(X88)
      | ~ ndr1_0
      | c3_1(X89)
      | ~ c1_1(X89)
      | ~ c2_1(X89)
      | hskp28 ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f219,plain,
    ! [X86,X85] :
      ( c1_1(X85)
      | c3_1(X85)
      | ~ c0_1(X85)
      | ~ ndr1_0
      | ~ c1_1(X86)
      | ~ c2_1(X86)
      | ~ c3_1(X86)
      | hskp25 ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f220,plain,
    ! [X83,X84] :
      ( c1_1(X83)
      | c3_1(X83)
      | ~ c0_1(X83)
      | ~ ndr1_0
      | c2_1(X84)
      | ~ c0_1(X84)
      | ~ c1_1(X84)
      | hskp31 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f221,plain,
    ! [X80,X81] :
      ( c1_1(X80)
      | c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c2_1(X81)
      | ~ c1_1(X81)
      | ~ c3_1(X81)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f222,plain,
    ! [X78,X79] :
      ( c1_1(X78)
      | c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | c1_1(X79)
      | c3_1(X79)
      | ~ c0_1(X79)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f223,plain,
    ! [X76,X77] :
      ( c1_1(X76)
      | c2_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | c1_1(X77)
      | c3_1(X77)
      | ~ c0_1(X77)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f224,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | c2_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | c3_1(X73)
      | ~ c0_1(X73)
      | ~ c2_1(X73)
      | hskp14 ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f225,plain,
    ! [X70,X71] :
      ( c1_1(X70)
      | c2_1(X70)
      | ~ c0_1(X70)
      | ~ ndr1_0
      | c3_1(X71)
      | ~ c0_1(X71)
      | ~ c1_1(X71)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f226,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c2_1(X69)
      | ~ c0_1(X69)
      | ~ c3_1(X69)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f227,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c2_1(X64)
      | c3_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c0_1(X65)
      | ~ c1_1(X65)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f48]) ).

fof(f228,plain,
    ! [X62,X63,X61] :
      ( c1_1(X61)
      | c2_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | c1_1(X62)
      | ~ c0_1(X62)
      | ~ c2_1(X62)
      | c3_1(X63)
      | ~ c0_1(X63)
      | ~ c2_1(X63) ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f229,plain,
    ! [X58,X59] :
      ( c0_1(X58)
      | ~ c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | ~ c0_1(X59)
      | ~ c3_1(X59)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f231,plain,
    ! [X54,X55,X53] :
      ( c0_1(X53)
      | ~ c1_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c3_1(X54)
      | ~ c0_1(X54)
      | c2_1(X55)
      | ~ c1_1(X55)
      | ~ c3_1(X55) ),
    inference(duplicate_literal_removal,[],[f53]) ).

fof(f232,plain,
    ! [X50,X51,X49] :
      ( c0_1(X49)
      | ~ c1_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | c2_1(X50)
      | c3_1(X50)
      | ~ c0_1(X50)
      | ~ c1_1(X51)
      | ~ c2_1(X51)
      | ~ c3_1(X51) ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f233,plain,
    ! [X48,X47] :
      ( c0_1(X47)
      | ~ c1_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | c1_1(X48)
      | c2_1(X48)
      | ~ c3_1(X48)
      | hskp21 ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f234,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c2_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | ~ c1_1(X45)
      | ~ c3_1(X45)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f235,plain,
    ! [X42,X43] :
      ( c0_1(X42)
      | c3_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | c0_1(X43)
      | ~ c1_1(X43)
      | ~ c3_1(X43)
      | hskp18 ),
    inference(duplicate_literal_removal,[],[f59]) ).

fof(f236,plain,
    ! [X38,X39] :
      ( c0_1(X38)
      | c2_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | ~ c1_1(X39)
      | ~ c2_1(X39)
      | hskp2 ),
    inference(duplicate_literal_removal,[],[f62]) ).

fof(f237,plain,
    ! [X36,X37] :
      ( c0_1(X36)
      | c2_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | ~ c0_1(X37)
      | ~ c2_1(X37)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f63]) ).

fof(f238,plain,
    ! [X34,X35] :
      ( c0_1(X34)
      | c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | c3_1(X35)
      | ~ c0_1(X35)
      | ~ c1_1(X35)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f239,plain,
    ! [X32,X33] :
      ( c0_1(X32)
      | c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | c2_1(X33)
      | ~ c0_1(X33)
      | ~ c1_1(X33)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f65]) ).

fof(f240,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | c3_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f70]) ).

fof(f242,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c0_1(X22)
      | ~ c1_1(X22)
      | ~ c2_1(X22)
      | ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23) ),
    inference(duplicate_literal_removal,[],[f72]) ).

fof(f253,definition,
    ( spl0_1
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f256,definition,
    ( spl0_2
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f258,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f256,f253]) ).

fof(f260,definition,
    ( spl0_3
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f263,definition,
    ( spl0_4
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f266,definition,
    ( spl0_5
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f268,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f266,f263,f260]) ).

fof(f270,definition,
    ( spl0_6
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f273,definition,
    ( spl0_7
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f276,definition,
    ( spl0_8
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f278,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f276,f273,f270]) ).

fof(f283,definition,
    ( spl0_10
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f286,definition,
    ( spl0_11
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f290,definition,
    ( spl0_12
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f292,plain,
    ( spl0_1
    | spl0_12 ),
    inference(avatar_split_clause,[],[f10,f290,f253]) ).

fof(f294,definition,
    ( spl0_13
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f298,definition,
    ( spl0_14
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f301,definition,
    ( spl0_15
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f305,definition,
    ( spl0_16
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f308,definition,
    ( spl0_17
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f312,definition,
    ( spl0_18
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f315,definition,
    ( spl0_19
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f317,plain,
    ( spl0_18
    | spl0_19
    | spl0_17 ),
    inference(avatar_split_clause,[],[f14,f308,f315,f312]) ).

fof(f319,definition,
    ( spl0_20
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f321,plain,
    ( spl0_13
    | spl0_20 ),
    inference(avatar_split_clause,[],[f15,f319,f294]) ).

fof(f323,definition,
    ( spl0_21
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f326,definition,
    ( spl0_22
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f329,definition,
    ( spl0_23
  <=> ! [X111] :
        ( ~ c0_1(X111)
        | ~ c3_1(X111)
        | ~ c1_1(X111) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f330,plain,
    ( ! [X111] :
        ( ~ c1_1(X111)
        | ~ c3_1(X111)
        | ~ c0_1(X111) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f331,plain,
    ( spl0_3
    | spl0_21
    | ~ spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f16,f329,f326,f323,f260]) ).

fof(f333,definition,
    ( spl0_24
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f335,plain,
    ( spl0_21
    | spl0_24
    | ~ spl0_22
    | spl0_23 ),
    inference(avatar_split_clause,[],[f17,f329,f326,f333,f323]) ).

fof(f337,definition,
    ( spl0_25
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f340,definition,
    ( spl0_26
  <=> ! [X109] :
        ( ~ c0_1(X109)
        | ~ c2_1(X109)
        | ~ c1_1(X109) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f341,plain,
    ( ! [X109] :
        ( ~ c1_1(X109)
        | ~ c2_1(X109)
        | ~ c0_1(X109) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f344,definition,
    ( spl0_27
  <=> ! [X108] :
        ( c3_1(X108)
        | ~ c2_1(X108)
        | ~ c0_1(X108) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f345,plain,
    ( ! [X108] :
        ( c3_1(X108)
        | ~ c2_1(X108)
        | ~ c0_1(X108) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f348,definition,
    ( spl0_28
  <=> ! [X107] :
        ( c3_1(X107)
        | ~ c1_1(X107)
        | ~ c0_1(X107) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f349,plain,
    ( ! [X107] :
        ( ~ c1_1(X107)
        | c3_1(X107)
        | ~ c0_1(X107) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f352,definition,
    ( spl0_29
  <=> ! [X106] :
        ( c2_1(X106)
        | ~ c3_1(X106)
        | ~ c0_1(X106) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f353,plain,
    ( ! [X106] :
        ( ~ c3_1(X106)
        | c2_1(X106)
        | ~ c0_1(X106) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f356,definition,
    ( spl0_30
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f359,definition,
    ( spl0_31
  <=> ! [X105] :
        ( ~ c1_1(X105)
        | ~ c3_1(X105)
        | ~ c2_1(X105) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f360,plain,
    ( ! [X105] :
        ( ~ c1_1(X105)
        | ~ c3_1(X105)
        | ~ c2_1(X105) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f362,plain,
    ( spl0_21
    | spl0_23
    | ~ spl0_22
    | spl0_29 ),
    inference(avatar_split_clause,[],[f214,f352,f326,f329,f323]) ).

fof(f363,plain,
    ( spl0_2
    | spl0_26
    | ~ spl0_22
    | spl0_29 ),
    inference(avatar_split_clause,[],[f215,f352,f326,f340,f256]) ).

fof(f365,definition,
    ( spl0_32
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f368,definition,
    ( spl0_33
  <=> ! [X99] :
        ( c2_1(X99)
        | ~ c1_1(X99)
        | ~ c0_1(X99) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f369,plain,
    ( ! [X99] :
        ( ~ c1_1(X99)
        | c2_1(X99)
        | ~ c0_1(X99) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f372,definition,
    ( spl0_34
  <=> ! [X98] :
        ( c3_1(X98)
        | ~ c2_1(X98)
        | ~ c1_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f373,plain,
    ( ! [X98] :
        ( ~ c1_1(X98)
        | ~ c2_1(X98)
        | c3_1(X98) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f375,definition,
    ( spl0_35
  <=> ! [X97] :
        ( c2_1(X97)
        | ~ c1_1(X97)
        | c3_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f376,plain,
    ( ! [X97] :
        ( ~ c1_1(X97)
        | c2_1(X97)
        | c3_1(X97) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f377,plain,
    ( spl0_7
    | spl0_34
    | ~ spl0_22
    | spl0_35 ),
    inference(avatar_split_clause,[],[f216,f375,f326,f372,f273]) ).

fof(f379,definition,
    ( spl0_36
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f382,definition,
    ( spl0_37
  <=> ! [X96] :
        ( c2_1(X96)
        | ~ c0_1(X96)
        | c3_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f383,plain,
    ( ! [X96] :
        ( c3_1(X96)
        | ~ c0_1(X96)
        | c2_1(X96) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f386,definition,
    ( spl0_38
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f393,definition,
    ( spl0_40
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f400,definition,
    ( spl0_42
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f403,definition,
    ( spl0_43
  <=> ! [X93] :
        ( c1_1(X93)
        | ~ c3_1(X93)
        | ~ c0_1(X93) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f404,plain,
    ( ! [X93] :
        ( c1_1(X93)
        | ~ c3_1(X93)
        | ~ c0_1(X93) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f405,plain,
    ( spl0_3
    | spl0_42
    | ~ spl0_22
    | spl0_43 ),
    inference(avatar_split_clause,[],[f30,f403,f326,f400,f260]) ).

fof(f406,plain,
    ( spl0_14
    | spl0_19
    | ~ spl0_22
    | spl0_43 ),
    inference(avatar_split_clause,[],[f31,f403,f326,f315,f298]) ).

fof(f407,plain,
    ( spl0_10
    | spl0_26
    | ~ spl0_22
    | spl0_43 ),
    inference(avatar_split_clause,[],[f217,f403,f326,f340,f283]) ).

fof(f409,definition,
    ( spl0_44
  <=> ! [X88] :
        ( c1_1(X88)
        | ~ c2_1(X88)
        | ~ c0_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f410,plain,
    ( ! [X88] :
        ( c1_1(X88)
        | ~ c2_1(X88)
        | ~ c0_1(X88) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( spl0_20
    | spl0_34
    | ~ spl0_22
    | spl0_44 ),
    inference(avatar_split_clause,[],[f218,f409,f326,f372,f319]) ).

fof(f417,definition,
    ( spl0_46
  <=> ! [X85] :
        ( c1_1(X85)
        | ~ c0_1(X85)
        | c3_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X85] :
        ( c1_1(X85)
        | ~ c0_1(X85)
        | c3_1(X85) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f419,plain,
    ( spl0_21
    | spl0_31
    | ~ spl0_22
    | spl0_46 ),
    inference(avatar_split_clause,[],[f219,f417,f326,f359,f323]) ).

fof(f420,plain,
    ( spl0_15
    | spl0_33
    | ~ spl0_22
    | spl0_46 ),
    inference(avatar_split_clause,[],[f220,f417,f326,f368,f301]) ).

fof(f422,definition,
    ( spl0_47
  <=> ! [X82] :
        ( c1_1(X82)
        | ~ c3_1(X82)
        | c2_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f423,plain,
    ( ! [X82] :
        ( c1_1(X82)
        | ~ c3_1(X82)
        | c2_1(X82) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f424,plain,
    ( spl0_36
    | spl0_20
    | ~ spl0_22
    | spl0_47 ),
    inference(avatar_split_clause,[],[f37,f422,f326,f319,f379]) ).

fof(f426,definition,
    ( spl0_48
  <=> ! [X81] :
        ( c2_1(X81)
        | ~ c3_1(X81)
        | ~ c1_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f427,plain,
    ( ! [X81] :
        ( ~ c1_1(X81)
        | ~ c3_1(X81)
        | c2_1(X81) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f428,plain,
    ( spl0_7
    | spl0_48
    | ~ spl0_22
    | spl0_47 ),
    inference(avatar_split_clause,[],[f221,f422,f326,f426,f273]) ).

fof(f429,plain,
    ( spl0_42
    | spl0_46
    | ~ spl0_22
    | spl0_47 ),
    inference(avatar_split_clause,[],[f222,f422,f326,f417,f400]) ).

fof(f430,plain,
    ( spl0_32
    | spl0_46
    | ~ spl0_22
    | spl0_47 ),
    inference(avatar_split_clause,[],[f223,f422,f326,f417,f365]) ).

fof(f432,definition,
    ( spl0_49
  <=> ! [X75] :
        ( c1_1(X75)
        | ~ c0_1(X75)
        | c2_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X75] :
        ( c1_1(X75)
        | ~ c0_1(X75)
        | c2_1(X75) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f434,plain,
    ( spl0_4
    | spl0_11
    | ~ spl0_22
    | spl0_49 ),
    inference(avatar_split_clause,[],[f41,f432,f326,f286,f263]) ).

fof(f435,plain,
    ( spl0_12
    | spl0_17
    | ~ spl0_22
    | spl0_49 ),
    inference(avatar_split_clause,[],[f42,f432,f326,f308,f290]) ).

fof(f436,plain,
    ( spl0_2
    | spl0_27
    | ~ spl0_22
    | spl0_49 ),
    inference(avatar_split_clause,[],[f224,f432,f326,f344,f256]) ).

fof(f437,plain,
    ( spl0_7
    | spl0_28
    | ~ spl0_22
    | spl0_49 ),
    inference(avatar_split_clause,[],[f225,f432,f326,f348,f273]) ).

fof(f438,plain,
    ( spl0_36
    | spl0_29
    | ~ spl0_22
    | spl0_49 ),
    inference(avatar_split_clause,[],[f226,f432,f326,f352,f379]) ).

fof(f440,definition,
    ( spl0_50
  <=> ! [X67] :
        ( c1_1(X67)
        | c3_1(X67)
        | c2_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X67] :
        ( c1_1(X67)
        | c3_1(X67)
        | c2_1(X67) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f442,plain,
    ( spl0_11
    | spl0_15
    | ~ spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f46,f440,f326,f301,f286]) ).

fof(f443,plain,
    ( spl0_8
    | spl0_17
    | ~ spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f47,f440,f326,f308,f276]) ).

fof(f444,plain,
    ( spl0_25
    | spl0_28
    | ~ spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f227,f440,f326,f348,f337]) ).

fof(f445,plain,
    ( spl0_27
    | spl0_44
    | ~ spl0_22
    | spl0_50 ),
    inference(avatar_split_clause,[],[f228,f440,f326,f409,f344]) ).

fof(f447,definition,
    ( spl0_51
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f450,definition,
    ( spl0_52
  <=> ! [X60] :
        ( c0_1(X60)
        | ~ c3_1(X60)
        | ~ c2_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f451,plain,
    ( ! [X60] :
        ( ~ c3_1(X60)
        | c0_1(X60)
        | ~ c2_1(X60) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f453,plain,
    ( spl0_40
    | spl0_43
    | ~ spl0_22
    | spl0_52 ),
    inference(avatar_split_clause,[],[f229,f450,f326,f403,f393]) ).

fof(f455,definition,
    ( spl0_53
  <=> ! [X57] :
        ( ~ c0_1(X57)
        | ~ c3_1(X57)
        | ~ c2_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X57] :
        ( ~ c3_1(X57)
        | ~ c0_1(X57)
        | ~ c2_1(X57) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f458,definition,
    ( spl0_54
  <=> ! [X56] :
        ( c0_1(X56)
        | ~ c3_1(X56)
        | ~ c1_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f459,plain,
    ( ! [X56] :
        ( ~ c1_1(X56)
        | ~ c3_1(X56)
        | c0_1(X56) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f461,plain,
    ( spl0_48
    | spl0_37
    | ~ spl0_22
    | spl0_54 ),
    inference(avatar_split_clause,[],[f231,f458,f326,f382,f426]) ).

fof(f463,definition,
    ( spl0_55
  <=> ! [X52] :
        ( c0_1(X52)
        | ~ c2_1(X52)
        | ~ c1_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f464,plain,
    ( ! [X52] :
        ( ~ c1_1(X52)
        | ~ c2_1(X52)
        | c0_1(X52) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f465,plain,
    ( spl0_11
    | spl0_19
    | ~ spl0_22
    | spl0_55 ),
    inference(avatar_split_clause,[],[f54,f463,f326,f315,f286]) ).

fof(f466,plain,
    ( spl0_31
    | spl0_37
    | ~ spl0_22
    | spl0_55 ),
    inference(avatar_split_clause,[],[f232,f463,f326,f382,f359]) ).

fof(f467,plain,
    ( spl0_1
    | spl0_47
    | ~ spl0_22
    | spl0_55 ),
    inference(avatar_split_clause,[],[f233,f463,f326,f422,f253]) ).

fof(f469,definition,
    ( spl0_56
  <=> ! [X46] :
        ( c0_1(X46)
        | ~ c2_1(X46)
        | c3_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X46] :
        ( c3_1(X46)
        | ~ c2_1(X46)
        | c0_1(X46) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f471,plain,
    ( spl0_38
    | spl0_11
    | ~ spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f57,f469,f326,f286,f386]) ).

fof(f472,plain,
    ( spl0_4
    | spl0_23
    | ~ spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f234,f469,f326,f329,f263]) ).

fof(f473,plain,
    ( spl0_30
    | spl0_54
    | ~ spl0_22
    | spl0_56 ),
    inference(avatar_split_clause,[],[f235,f469,f326,f458,f356]) ).

fof(f479,definition,
    ( spl0_58
  <=> ! [X40] :
        ( c0_1(X40)
        | ~ c3_1(X40)
        | c2_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f480,plain,
    ( ! [X40] :
        ( ~ c3_1(X40)
        | c0_1(X40)
        | c2_1(X40) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f482,plain,
    ( spl0_8
    | spl0_26
    | ~ spl0_22
    | spl0_58 ),
    inference(avatar_split_clause,[],[f236,f479,f326,f340,f276]) ).

fof(f483,plain,
    ( spl0_16
    | spl0_27
    | ~ spl0_22
    | spl0_58 ),
    inference(avatar_split_clause,[],[f237,f479,f326,f344,f305]) ).

fof(f484,plain,
    ( spl0_25
    | spl0_28
    | ~ spl0_22
    | spl0_58 ),
    inference(avatar_split_clause,[],[f238,f479,f326,f348,f337]) ).

fof(f486,definition,
    ( spl0_59
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f488,plain,
    ( spl0_59
    | spl0_33
    | ~ spl0_22
    | spl0_58 ),
    inference(avatar_split_clause,[],[f239,f479,f326,f368,f486]) ).

fof(f490,definition,
    ( spl0_60
  <=> ! [X31] :
        ( c0_1(X31)
        | ~ c1_1(X31)
        | c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f491,plain,
    ( ! [X31] :
        ( ~ c1_1(X31)
        | c0_1(X31)
        | c2_1(X31) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f492,plain,
    ( spl0_51
    | spl0_2
    | ~ spl0_22
    | spl0_60 ),
    inference(avatar_split_clause,[],[f66,f490,f326,f256,f447]) ).

fof(f493,plain,
    ( spl0_36
    | spl0_25
    | ~ spl0_22
    | spl0_60 ),
    inference(avatar_split_clause,[],[f67,f490,f326,f337,f379]) ).

fof(f495,definition,
    ( spl0_61
  <=> ! [X29] :
        ( c0_1(X29)
        | c3_1(X29)
        | c2_1(X29) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f496,plain,
    ( ! [X29] :
        ( c3_1(X29)
        | c0_1(X29)
        | c2_1(X29) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f497,plain,
    ( spl0_16
    | spl0_4
    | ~ spl0_22
    | spl0_61 ),
    inference(avatar_split_clause,[],[f68,f495,f326,f263,f305]) ).

fof(f498,plain,
    ( spl0_42
    | spl0_51
    | ~ spl0_22
    | spl0_61 ),
    inference(avatar_split_clause,[],[f69,f495,f326,f447,f400]) ).

fof(f499,plain,
    ( spl0_4
    | spl0_26
    | ~ spl0_22
    | spl0_61 ),
    inference(avatar_split_clause,[],[f240,f495,f326,f340,f263]) ).

fof(f502,definition,
    ( spl0_62
  <=> ! [X21] :
        ( c0_1(X21)
        | ~ c3_1(X21)
        | c1_1(X21) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f503,plain,
    ( ! [X21] :
        ( c1_1(X21)
        | ~ c3_1(X21)
        | c0_1(X21) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f504,plain,
    ( spl0_53
    | spl0_55
    | ~ spl0_22
    | spl0_62 ),
    inference(avatar_split_clause,[],[f242,f502,f326,f463,f455]) ).

fof(f506,definition,
    ( spl0_63
  <=> ! [X20] :
        ( c0_1(X20)
        | ~ c2_1(X20)
        | c1_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f507,plain,
    ( ! [X20] :
        ( c1_1(X20)
        | ~ c2_1(X20)
        | c0_1(X20) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f508,plain,
    ( spl0_5
    | spl0_17
    | ~ spl0_22
    | spl0_63 ),
    inference(avatar_split_clause,[],[f73,f506,f326,f308,f266]) ).

fof(f527,definition,
    ( spl0_66
  <=> c3_1(a875) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f528,plain,
    ( c3_1(a875)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f530,plain,
    ( spl0_66
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f85,f301,f527]) ).

fof(f532,definition,
    ( spl0_67
  <=> c2_1(a875) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f534,plain,
    ( spl0_67
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f86,f301,f532]) ).

fof(f536,definition,
    ( spl0_68
  <=> c0_1(a875) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f538,plain,
    ( spl0_68
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f87,f301,f536]) ).

fof(f542,definition,
    ( spl0_69
  <=> c3_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f545,plain,
    ( spl0_69
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f89,f283,f542]) ).

fof(f547,definition,
    ( spl0_70
  <=> c2_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f549,plain,
    ( spl0_70
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f90,f283,f547]) ).

fof(f551,definition,
    ( spl0_71
  <=> c1_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f552,plain,
    ( c1_1(a857)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f553,plain,
    ( spl0_71
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f91,f283,f551]) ).

fof(f556,definition,
    ( spl0_72
  <=> c2_1(a849) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f559,plain,
    ( spl0_72
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f93,f337,f556]) ).

fof(f561,definition,
    ( spl0_73
  <=> c1_1(a849) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f562,plain,
    ( c1_1(a849)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f563,plain,
    ( spl0_73
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f94,f337,f561]) ).

fof(f565,definition,
    ( spl0_74
  <=> c0_1(a849) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f567,plain,
    ( spl0_74
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f95,f337,f565]) ).

fof(f570,definition,
    ( spl0_75
  <=> c3_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f573,plain,
    ( spl0_75
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f97,f319,f570]) ).

fof(f575,definition,
    ( spl0_76
  <=> c1_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f576,plain,
    ( c1_1(a839)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f577,plain,
    ( spl0_76
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f98,f319,f575]) ).

fof(f579,definition,
    ( spl0_77
  <=> c0_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f581,plain,
    ( spl0_77
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f99,f319,f579]) ).

fof(f584,definition,
    ( spl0_78
  <=> c0_1(a919) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f587,plain,
    ( ~ spl0_78
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f101,f333,f584]) ).

fof(f589,definition,
    ( spl0_79
  <=> c3_1(a919) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f590,plain,
    ( c3_1(a919)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f591,plain,
    ( spl0_79
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f102,f333,f589]) ).

fof(f593,definition,
    ( spl0_80
  <=> c2_1(a919) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f595,plain,
    ( spl0_80
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f103,f333,f593]) ).

fof(f612,definition,
    ( spl0_84
  <=> c3_1(a890) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f613,plain,
    ( ~ c3_1(a890)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f615,plain,
    ( ~ spl0_84
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f109,f323,f612]) ).

fof(f617,definition,
    ( spl0_85
  <=> c0_1(a890) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f619,plain,
    ( ~ spl0_85
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f110,f323,f617]) ).

fof(f621,definition,
    ( spl0_86
  <=> c2_1(a890) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f623,plain,
    ( spl0_86
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f111,f323,f621]) ).

fof(f626,definition,
    ( spl0_87
  <=> c2_1(a884) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f629,plain,
    ( ~ spl0_87
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f113,f365,f626]) ).

fof(f631,definition,
    ( spl0_88
  <=> c3_1(a884) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f633,plain,
    ( spl0_88
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f114,f365,f631]) ).

fof(f635,definition,
    ( spl0_89
  <=> c1_1(a884) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f636,plain,
    ( c1_1(a884)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f637,plain,
    ( spl0_89
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f115,f365,f635]) ).

fof(f654,definition,
    ( spl0_93
  <=> c3_1(a866) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f657,plain,
    ( ~ spl0_93
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f121,f315,f654]) ).

fof(f659,definition,
    ( spl0_94
  <=> c1_1(a866) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f660,plain,
    ( c1_1(a866)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f659]) ).

fof(f661,plain,
    ( spl0_94
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f122,f315,f659]) ).

fof(f663,definition,
    ( spl0_95
  <=> c0_1(a866) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f665,plain,
    ( spl0_95
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f123,f315,f663]) ).

fof(f668,definition,
    ( spl0_96
  <=> c1_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f669,plain,
    ( ~ c1_1(a865)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f668]) ).

fof(f671,plain,
    ( ~ spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f125,f253,f668]) ).

fof(f673,definition,
    ( spl0_97
  <=> c0_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f675,plain,
    ( ~ spl0_97
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f126,f253,f673]) ).

fof(f677,definition,
    ( spl0_98
  <=> c2_1(a865) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f679,plain,
    ( spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f127,f253,f677]) ).

fof(f680,plain,
    ( spl0_22
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f128,f253,f326]) ).

fof(f682,definition,
    ( spl0_99
  <=> c2_1(a864) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f685,plain,
    ( ~ spl0_99
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f129,f386,f682]) ).

fof(f691,definition,
    ( spl0_101
  <=> c1_1(a864) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f692,plain,
    ( c1_1(a864)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f693,plain,
    ( spl0_101
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f131,f386,f691]) ).

fof(f696,definition,
    ( spl0_102
  <=> c2_1(a863) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f699,plain,
    ( ~ spl0_102
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f133,f286,f696]) ).

fof(f701,definition,
    ( spl0_103
  <=> c3_1(a863) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f702,plain,
    ( c3_1(a863)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f703,plain,
    ( spl0_103
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f134,f286,f701]) ).

fof(f705,definition,
    ( spl0_104
  <=> c0_1(a863) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f707,plain,
    ( spl0_104
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f135,f286,f705]) ).

fof(f710,definition,
    ( spl0_105
  <=> c1_1(a861) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f711,plain,
    ( ~ c1_1(a861)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f713,plain,
    ( ~ spl0_105
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f137,f356,f710]) ).

fof(f715,definition,
    ( spl0_106
  <=> c2_1(a861) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f717,plain,
    ( spl0_106
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f138,f356,f715]) ).

fof(f719,definition,
    ( spl0_107
  <=> c0_1(a861) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f721,plain,
    ( spl0_107
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f139,f356,f719]) ).

fof(f724,definition,
    ( spl0_108
  <=> c3_1(a859) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f725,plain,
    ( ~ c3_1(a859)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f724]) ).

fof(f727,plain,
    ( ~ spl0_108
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f141,f273,f724]) ).

fof(f729,definition,
    ( spl0_109
  <=> c1_1(a859) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f730,plain,
    ( ~ c1_1(a859)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f731,plain,
    ( ~ spl0_109
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f142,f273,f729]) ).

fof(f733,definition,
    ( spl0_110
  <=> c0_1(a859) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f735,plain,
    ( spl0_110
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f143,f273,f733]) ).

fof(f738,definition,
    ( spl0_111
  <=> c2_1(a858) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f741,plain,
    ( ~ spl0_111
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f145,f270,f738]) ).

fof(f743,definition,
    ( spl0_112
  <=> c1_1(a858) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f744,plain,
    ( ~ c1_1(a858)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f745,plain,
    ( ~ spl0_112
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f146,f270,f743]) ).

fof(f747,definition,
    ( spl0_113
  <=> c0_1(a858) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ spl0_113
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f147,f270,f747]) ).

fof(f752,definition,
    ( spl0_114
  <=> c0_1(a853) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f755,plain,
    ( ~ spl0_114
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f149,f486,f752]) ).

fof(f757,definition,
    ( spl0_115
  <=> c3_1(a853) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f759,plain,
    ( spl0_115
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f150,f486,f757]) ).

fof(f761,definition,
    ( spl0_116
  <=> c1_1(a853) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f762,plain,
    ( c1_1(a853)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f763,plain,
    ( spl0_116
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f151,f486,f761]) ).

fof(f766,definition,
    ( spl0_117
  <=> c3_1(a851) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f767,plain,
    ( ~ c3_1(a851)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f769,plain,
    ( ~ spl0_117
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f153,f256,f766]) ).

fof(f771,definition,
    ( spl0_118
  <=> c2_1(a851) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f773,plain,
    ( spl0_118
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f154,f256,f771]) ).

fof(f775,definition,
    ( spl0_119
  <=> c1_1(a851) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f776,plain,
    ( c1_1(a851)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f777,plain,
    ( spl0_119
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f155,f256,f775]) ).

fof(f780,definition,
    ( spl0_120
  <=> c2_1(a846) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f783,plain,
    ( ~ spl0_120
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f157,f400,f780]) ).

fof(f785,definition,
    ( spl0_121
  <=> c0_1(a846) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f787,plain,
    ( ~ spl0_121
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f158,f400,f785]) ).

fof(f789,definition,
    ( spl0_122
  <=> c3_1(a846) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f790,plain,
    ( c3_1(a846)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f791,plain,
    ( spl0_122
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f159,f400,f789]) ).

fof(f794,definition,
    ( spl0_123
  <=> c1_1(a845) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f795,plain,
    ( ~ c1_1(a845)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f797,plain,
    ( ~ spl0_123
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f161,f447,f794]) ).

fof(f799,definition,
    ( spl0_124
  <=> c0_1(a845) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f801,plain,
    ( ~ spl0_124
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f162,f447,f799]) ).

fof(f803,definition,
    ( spl0_125
  <=> c3_1(a845) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f805,plain,
    ( spl0_125
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f163,f447,f803]) ).

fof(f808,definition,
    ( spl0_126
  <=> c2_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f811,plain,
    ( ~ spl0_126
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f165,f263,f808]) ).

fof(f813,definition,
    ( spl0_127
  <=> c1_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f814,plain,
    ( ~ c1_1(a844)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f815,plain,
    ( ~ spl0_127
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f166,f263,f813]) ).

fof(f817,definition,
    ( spl0_128
  <=> c3_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f818,plain,
    ( c3_1(a844)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f819,plain,
    ( spl0_128
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f167,f263,f817]) ).

fof(f822,definition,
    ( spl0_129
  <=> c3_1(a843) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f823,plain,
    ( ~ c3_1(a843)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f825,plain,
    ( ~ spl0_129
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f169,f294,f822]) ).

fof(f827,definition,
    ( spl0_130
  <=> c0_1(a843) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f829,plain,
    ( ~ spl0_130
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f170,f294,f827]) ).

fof(f831,definition,
    ( spl0_131
  <=> c1_1(a843) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f832,plain,
    ( c1_1(a843)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f833,plain,
    ( spl0_131
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f171,f294,f831]) ).

fof(f836,definition,
    ( spl0_132
  <=> c2_1(a841) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f839,plain,
    ( ~ spl0_132
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f173,f308,f836]) ).

fof(f841,definition,
    ( spl0_133
  <=> c1_1(a841) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f842,plain,
    ( c1_1(a841)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f841]) ).

fof(f843,plain,
    ( spl0_133
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f174,f308,f841]) ).

fof(f845,definition,
    ( spl0_134
  <=> c0_1(a841) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f847,plain,
    ( spl0_134
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f175,f308,f845]) ).

fof(f850,definition,
    ( spl0_135
  <=> c3_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f851,plain,
    ( ~ c3_1(a838)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f853,plain,
    ( ~ spl0_135
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f177,f298,f850]) ).

fof(f855,definition,
    ( spl0_136
  <=> c2_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f857,plain,
    ( ~ spl0_136
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f178,f298,f855]) ).

fof(f859,definition,
    ( spl0_137
  <=> c1_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f860,plain,
    ( c1_1(a838)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f861,plain,
    ( spl0_137
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f179,f298,f859]) ).

fof(f864,definition,
    ( spl0_138
  <=> c1_1(a836) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f865,plain,
    ( ~ c1_1(a836)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f867,plain,
    ( ~ spl0_138
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f181,f290,f864]) ).

fof(f869,definition,
    ( spl0_139
  <=> c3_1(a836) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f870,plain,
    ( c3_1(a836)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f871,plain,
    ( spl0_139
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f182,f290,f869]) ).

fof(f873,definition,
    ( spl0_140
  <=> c0_1(a836) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f875,plain,
    ( spl0_140
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f183,f290,f873]) ).

fof(f876,plain,
    ( spl0_22
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f184,f290,f326]) ).

fof(f878,definition,
    ( spl0_141
  <=> c3_1(a835) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ c3_1(a835)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f878]) ).

fof(f881,plain,
    ( ~ spl0_141
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f185,f312,f878]) ).

fof(f883,definition,
    ( spl0_142
  <=> c2_1(a835) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f885,plain,
    ( ~ spl0_142
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f186,f312,f883]) ).

fof(f887,definition,
    ( spl0_143
  <=> c0_1(a835) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f889,plain,
    ( ~ spl0_143
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f187,f312,f887]) ).

fof(f892,definition,
    ( spl0_144
  <=> c3_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f893,plain,
    ( ~ c3_1(a833)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f895,plain,
    ( ~ spl0_144
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f189,f393,f892]) ).

fof(f897,definition,
    ( spl0_145
  <=> c2_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f899,plain,
    ( spl0_145
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f190,f393,f897]) ).

fof(f901,definition,
    ( spl0_146
  <=> c0_1(a833) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f903,plain,
    ( spl0_146
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f191,f393,f901]) ).

fof(f906,definition,
    ( spl0_147
  <=> c3_1(a832) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f909,plain,
    ( ~ spl0_147
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f193,f305,f906]) ).

fof(f911,definition,
    ( spl0_148
  <=> c2_1(a832) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f913,plain,
    ( ~ spl0_148
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f194,f305,f911]) ).

fof(f915,definition,
    ( spl0_149
  <=> c1_1(a832) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f916,plain,
    ( ~ c1_1(a832)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f917,plain,
    ( ~ spl0_149
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f195,f305,f915]) ).

fof(f920,definition,
    ( spl0_150
  <=> c1_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ c1_1(a831)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f923,plain,
    ( ~ spl0_150
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f197,f379,f920]) ).

fof(f925,definition,
    ( spl0_151
  <=> c3_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f926,plain,
    ( c3_1(a831)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f927,plain,
    ( spl0_151
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f198,f379,f925]) ).

fof(f929,definition,
    ( spl0_152
  <=> c2_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f931,plain,
    ( spl0_152
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f199,f379,f929]) ).

fof(f934,definition,
    ( spl0_153
  <=> c2_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f937,plain,
    ( ~ spl0_153
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f201,f276,f934]) ).

fof(f939,definition,
    ( spl0_154
  <=> c1_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f940,plain,
    ( ~ c1_1(a830)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f941,plain,
    ( ~ spl0_154
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f202,f276,f939]) ).

fof(f943,definition,
    ( spl0_155
  <=> c0_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f945,plain,
    ( spl0_155
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f203,f276,f943]) ).

fof(f948,definition,
    ( spl0_156
  <=> c3_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f949,plain,
    ( ~ c3_1(a829)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f951,plain,
    ( ~ spl0_156
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f205,f260,f948]) ).

fof(f953,definition,
    ( spl0_157
  <=> c1_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f954,plain,
    ( ~ c1_1(a829)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f953]) ).

fof(f955,plain,
    ( ~ spl0_157
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f206,f260,f953]) ).

fof(f957,definition,
    ( spl0_158
  <=> c0_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f959,plain,
    ( ~ spl0_158
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f207,f260,f957]) ).

fof(f962,definition,
    ( spl0_159
  <=> c0_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f965,plain,
    ( ~ spl0_159
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f209,f266,f962]) ).

fof(f967,definition,
    ( spl0_160
  <=> c2_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f969,plain,
    ( spl0_160
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f210,f266,f967]) ).

fof(f971,definition,
    ( spl0_161
  <=> c1_1(a828) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f972,plain,
    ( c1_1(a828)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f973,plain,
    ( spl0_161
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f211,f266,f971]) ).

fof(f975,plain,
    ( ~ c3_1(a857)
    | ~ c0_1(a857)
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(resolution,[],[f330,f552]) ).

fof(f982,definition,
    ( spl0_162
  <=> c0_1(a857) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f985,plain,
    ( ~ spl0_162
    | ~ spl0_69
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f975,f551,f329,f542,f982]) ).

fof(f990,definition,
    ( spl0_163
  <=> c0_1(a851) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f995,definition,
    ( spl0_164
  <=> c2_1(a839) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1002,plain,
    ( c3_1(a851)
    | ~ c0_1(a851)
    | ~ spl0_28
    | ~ spl0_119 ),
    inference(resolution,[],[f349,f776]) ).

fof(f1013,definition,
    ( spl0_165
  <=> c2_1(a836) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1022,plain,
    ( ~ c2_1(a851)
    | c3_1(a851)
    | ~ spl0_34
    | ~ spl0_119 ),
    inference(resolution,[],[f373,f776]) ).

fof(f1023,plain,
    ( spl0_117
    | ~ spl0_118
    | ~ spl0_34
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1022,f775,f372,f771,f766]) ).

fof(f1036,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_26
    | ~ spl0_43 ),
    inference(resolution,[],[f404,f341]) ).

fof(f1039,plain,
    ( ~ c3_1(a836)
    | ~ c0_1(a836)
    | ~ spl0_43
    | spl0_138 ),
    inference(resolution,[],[f404,f865]) ).

fof(f1043,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1036]) ).

fof(f1051,plain,
    ( ~ spl0_140
    | ~ spl0_139
    | ~ spl0_43
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1039,f864,f403,f869,f873]) ).

fof(f1052,plain,
    ( spl0_53
    | ~ spl0_26
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1043,f403,f340,f455]) ).

fof(f1070,definition,
    ( spl0_169
  <=> c0_1(a838) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1074,plain,
    ( c3_1(a838)
    | ~ c0_1(a838)
    | ~ spl0_28
    | ~ spl0_137 ),
    inference(resolution,[],[f860,f349]) ).

fof(f1077,plain,
    ( ~ spl0_169
    | spl0_135
    | ~ spl0_28
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1074,f859,f348,f850,f1070]) ).

fof(f1080,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_26
    | ~ spl0_46 ),
    inference(resolution,[],[f418,f341]) ).

fof(f1087,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1080]) ).

fof(f1092,plain,
    ( spl0_27
    | ~ spl0_26
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1087,f417,f340,f344]) ).

fof(f1100,plain,
    ( ~ c3_1(a858)
    | c2_1(a858)
    | ~ spl0_47
    | spl0_112 ),
    inference(resolution,[],[f423,f744]) ).

fof(f1105,definition,
    ( spl0_170
  <=> c3_1(a858) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1107,plain,
    ( spl0_111
    | ~ spl0_170
    | ~ spl0_47
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1100,f743,f422,f1105,f738]) ).

fof(f1130,plain,
    ( c3_1(a832)
    | c2_1(a832)
    | ~ spl0_50
    | spl0_149 ),
    inference(resolution,[],[f441,f916]) ).

fof(f1136,plain,
    ( c3_1(a858)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1105]) ).

fof(f1139,plain,
    ( spl0_148
    | spl0_147
    | ~ spl0_50
    | spl0_149 ),
    inference(avatar_split_clause,[],[f1130,f915,f440,f906,f911]) ).

fof(f1141,definition,
    ( spl0_171
  <=> c2_1(a829) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1145,plain,
    ( ~ c0_1(a830)
    | c2_1(a830)
    | ~ spl0_49
    | spl0_154 ),
    inference(resolution,[],[f940,f433]) ).

fof(f1146,plain,
    ( ~ c3_1(a830)
    | c2_1(a830)
    | ~ spl0_47
    | spl0_154 ),
    inference(resolution,[],[f940,f423]) ).

fof(f1149,definition,
    ( spl0_172
  <=> c3_1(a830) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1150,plain,
    ( ~ c3_1(a830)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1149]) ).

fof(f1151,plain,
    ( spl0_153
    | ~ spl0_172
    | ~ spl0_47
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1146,f939,f422,f1149,f934]) ).

fof(f1153,plain,
    ( spl0_153
    | ~ spl0_155
    | ~ spl0_49
    | spl0_154 ),
    inference(avatar_split_clause,[],[f1145,f939,f432,f943,f934]) ).

fof(f1155,plain,
    ( c3_1(a841)
    | ~ c0_1(a841)
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(resolution,[],[f842,f349]) ).

fof(f1159,definition,
    ( spl0_173
  <=> c3_1(a841) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1161,plain,
    ( ~ spl0_134
    | spl0_173
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1155,f841,f348,f1159,f845]) ).

fof(f1162,plain,
    ( ~ c0_1(a830)
    | c2_1(a830)
    | ~ spl0_37
    | spl0_172 ),
    inference(resolution,[],[f1150,f383]) ).

fof(f1165,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_28
    | ~ spl0_44 ),
    inference(resolution,[],[f410,f349]) ).

fof(f1171,plain,
    ( ~ c2_1(a861)
    | ~ c0_1(a861)
    | ~ spl0_44
    | spl0_105 ),
    inference(resolution,[],[f410,f711]) ).

fof(f1174,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1165]) ).

fof(f1178,plain,
    ( spl0_27
    | ~ spl0_28
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1174,f409,f348,f344]) ).

fof(f1185,plain,
    ( ~ c2_1(a851)
    | ~ c0_1(a851)
    | ~ spl0_27
    | spl0_117 ),
    inference(resolution,[],[f345,f767]) ).

fof(f1234,plain,
    ( ~ c3_1(a857)
    | ~ c2_1(a857)
    | ~ spl0_31
    | ~ spl0_71 ),
    inference(resolution,[],[f360,f552]) ).

fof(f1255,plain,
    ( ~ c2_1(a857)
    | c0_1(a857)
    | ~ spl0_55
    | ~ spl0_71 ),
    inference(resolution,[],[f464,f552]) ).

fof(f1282,plain,
    ( ~ c0_1(a844)
    | c2_1(a844)
    | ~ spl0_49
    | spl0_127 ),
    inference(resolution,[],[f814,f433]) ).

fof(f1283,plain,
    ( ~ c3_1(a844)
    | c2_1(a844)
    | ~ spl0_47
    | spl0_127 ),
    inference(resolution,[],[f814,f423]) ).

fof(f1286,plain,
    ( spl0_126
    | ~ spl0_128
    | ~ spl0_47
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1283,f813,f422,f817,f808]) ).

fof(f1288,definition,
    ( spl0_174
  <=> c0_1(a844) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1296,definition,
    ( spl0_175
  <=> c2_1(a843) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1311,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_49 ),
    inference(resolution,[],[f330,f433]) ).

fof(f1312,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_47 ),
    inference(resolution,[],[f330,f423]) ).

fof(f1314,plain,
    ( ~ c3_1(a841)
    | ~ c0_1(a841)
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(resolution,[],[f330,f842]) ).

fof(f1316,plain,
    ( ~ c3_1(a839)
    | ~ c0_1(a839)
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(resolution,[],[f330,f576]) ).

fof(f1318,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1312]) ).

fof(f1319,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1311]) ).

fof(f1323,plain,
    ( ~ spl0_134
    | ~ spl0_173
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1314,f841,f329,f1159,f845]) ).

fof(f1324,plain,
    ( spl0_29
    | ~ spl0_23
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1318,f422,f329,f352]) ).

fof(f1325,plain,
    ( spl0_29
    | ~ spl0_23
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1319,f432,f329,f352]) ).

fof(f1332,plain,
    ( ~ c2_1(a849)
    | c3_1(a849)
    | ~ spl0_34
    | ~ spl0_73 ),
    inference(resolution,[],[f562,f373]) ).

fof(f1338,definition,
    ( spl0_176
  <=> c3_1(a849) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1340,plain,
    ( spl0_176
    | ~ spl0_72
    | ~ spl0_34
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1332,f561,f372,f556,f1338]) ).

fof(f1353,definition,
    ( spl0_177
  <=> c2_1(a859) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1372,plain,
    ( ~ c2_1(a851)
    | c0_1(a851)
    | ~ spl0_55
    | ~ spl0_119 ),
    inference(resolution,[],[f776,f464]) ).

fof(f1386,plain,
    ( c2_1(a836)
    | ~ c0_1(a836)
    | ~ spl0_29
    | ~ spl0_139 ),
    inference(resolution,[],[f353,f870]) ).

fof(f1388,plain,
    ( c2_1(a863)
    | ~ c0_1(a863)
    | ~ spl0_29
    | ~ spl0_103 ),
    inference(resolution,[],[f353,f702]) ).

fof(f1397,plain,
    ( ~ spl0_104
    | spl0_102
    | ~ spl0_29
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1388,f701,f352,f696,f705]) ).

fof(f1417,plain,
    ( c2_1(a839)
    | ~ c0_1(a839)
    | ~ spl0_33
    | ~ spl0_76 ),
    inference(resolution,[],[f369,f576]) ).

fof(f1421,plain,
    ( ~ spl0_77
    | spl0_164
    | ~ spl0_33
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1417,f575,f368,f995,f579]) ).

fof(f1430,definition,
    ( spl0_180
  <=> c0_1(a884) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1454,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_31
    | ~ spl0_43 ),
    inference(resolution,[],[f404,f360]) ).

fof(f1456,plain,
    ( ~ c3_1(a844)
    | ~ c0_1(a844)
    | ~ spl0_43
    | spl0_127 ),
    inference(resolution,[],[f404,f814]) ).

fof(f1461,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_31
    | ~ spl0_43 ),
    inference(duplicate_literal_removal,[],[f1454]) ).

fof(f1464,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_44 ),
    inference(resolution,[],[f410,f330]) ).

fof(f1469,plain,
    ( ~ c2_1(a859)
    | ~ c0_1(a859)
    | ~ spl0_44
    | spl0_109 ),
    inference(resolution,[],[f410,f730]) ).

fof(f1473,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_23
    | ~ spl0_44 ),
    inference(duplicate_literal_removal,[],[f1464]) ).

fof(f1476,plain,
    ( ~ spl0_110
    | ~ spl0_177
    | ~ spl0_44
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1469,f729,f409,f1353,f733]) ).

fof(f1480,plain,
    ( spl0_53
    | ~ spl0_31
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1461,f403,f359,f455]) ).

fof(f1525,definition,
    ( spl0_183
  <=> c0_1(a831) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1560,plain,
    ( ~ c3_1(a836)
    | c2_1(a836)
    | ~ spl0_47
    | spl0_138 ),
    inference(resolution,[],[f865,f423]) ).

fof(f1561,plain,
    ( spl0_165
    | ~ spl0_139
    | ~ spl0_47
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1560,f864,f422,f869,f1013]) ).

fof(f1567,plain,
    ( c3_1(a829)
    | c2_1(a829)
    | ~ spl0_50
    | spl0_157 ),
    inference(resolution,[],[f441,f954]) ).

fof(f1573,plain,
    ( c3_1(a858)
    | c2_1(a858)
    | ~ spl0_50
    | spl0_112 ),
    inference(resolution,[],[f441,f744]) ).

fof(f1582,plain,
    ( spl0_171
    | spl0_156
    | ~ spl0_50
    | spl0_157 ),
    inference(avatar_split_clause,[],[f1567,f953,f440,f948,f1141]) ).

fof(f1585,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_47
    | ~ spl0_54 ),
    inference(resolution,[],[f459,f423]) ).

fof(f1593,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_47
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f1585]) ).

fof(f1599,definition,
    ( spl0_184
  <=> c3_1(a864) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1602,plain,
    ( spl0_58
    | ~ spl0_47
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1593,f458,f422,f479]) ).

fof(f1610,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(resolution,[],[f427,f433]) ).

fof(f1613,plain,
    ( ~ c3_1(a841)
    | c2_1(a841)
    | ~ spl0_48
    | ~ spl0_133 ),
    inference(resolution,[],[f427,f842]) ).

fof(f1615,plain,
    ( ~ c3_1(a864)
    | c2_1(a864)
    | ~ spl0_48
    | ~ spl0_101 ),
    inference(resolution,[],[f427,f692]) ).

fof(f1617,plain,
    ( ~ c3_1(a884)
    | c2_1(a884)
    | ~ spl0_48
    | ~ spl0_89 ),
    inference(resolution,[],[f427,f636]) ).

fof(f1619,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1610]) ).

fof(f1624,plain,
    ( spl0_132
    | ~ spl0_173
    | ~ spl0_48
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1613,f841,f426,f1159,f836]) ).

fof(f1632,plain,
    ( ~ spl0_107
    | ~ spl0_106
    | ~ spl0_44
    | spl0_105 ),
    inference(avatar_split_clause,[],[f1171,f710,f409,f715,f719]) ).

fof(f1633,plain,
    ( spl0_53
    | ~ spl0_23
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f1473,f409,f329,f455]) ).

fof(f1641,plain,
    ( spl0_111
    | spl0_170
    | ~ spl0_50
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1573,f743,f440,f1105,f738]) ).

fof(f1651,plain,
    ( spl0_153
    | ~ spl0_155
    | ~ spl0_37
    | spl0_172 ),
    inference(avatar_split_clause,[],[f1162,f1149,f382,f943,f934]) ).

fof(f1665,plain,
    ( c2_1(a841)
    | ~ c0_1(a841)
    | ~ spl0_33
    | ~ spl0_133 ),
    inference(resolution,[],[f369,f842]) ).

fof(f1674,plain,
    ( ~ spl0_134
    | spl0_132
    | ~ spl0_33
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1665,f841,f368,f836,f845]) ).

fof(f1679,plain,
    ( c2_1(a838)
    | c3_1(a838)
    | ~ spl0_35
    | ~ spl0_137 ),
    inference(resolution,[],[f376,f860]) ).

fof(f1680,plain,
    ( c2_1(a841)
    | c3_1(a841)
    | ~ spl0_35
    | ~ spl0_133 ),
    inference(resolution,[],[f376,f842]) ).

fof(f1681,plain,
    ( c2_1(a843)
    | c3_1(a843)
    | ~ spl0_35
    | ~ spl0_131 ),
    inference(resolution,[],[f376,f832]) ).

fof(f1683,plain,
    ( c2_1(a864)
    | c3_1(a864)
    | ~ spl0_35
    | ~ spl0_101 ),
    inference(resolution,[],[f376,f692]) ).

fof(f1690,plain,
    ( spl0_184
    | spl0_99
    | ~ spl0_35
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1683,f691,f375,f682,f1599]) ).

fof(f1691,plain,
    ( spl0_129
    | spl0_175
    | ~ spl0_35
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1681,f831,f375,f1296,f822]) ).

fof(f1692,plain,
    ( spl0_173
    | spl0_132
    | ~ spl0_35
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1680,f841,f375,f836,f1159]) ).

fof(f1693,plain,
    ( spl0_135
    | spl0_136
    | ~ spl0_35
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1679,f859,f375,f855,f850]) ).

fof(f1699,plain,
    ( ~ c3_1(a849)
    | ~ c0_1(a849)
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(resolution,[],[f562,f330]) ).

fof(f1700,plain,
    ( ~ spl0_74
    | ~ spl0_176
    | ~ spl0_23
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1699,f561,f329,f1338,f565]) ).

fof(f1724,plain,
    ( ~ c2_1(a831)
    | ~ c0_1(a831)
    | ~ spl0_44
    | spl0_150 ),
    inference(resolution,[],[f410,f921]) ).

fof(f1735,plain,
    ( ~ spl0_183
    | ~ spl0_152
    | ~ spl0_44
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1724,f920,f409,f929,f1525]) ).

fof(f1772,plain,
    ( ~ c0_1(a831)
    | ~ c2_1(a831)
    | ~ spl0_53
    | ~ spl0_151 ),
    inference(resolution,[],[f456,f926]) ).

fof(f1773,plain,
    ( ~ c0_1(a836)
    | ~ c2_1(a836)
    | ~ spl0_53
    | ~ spl0_139 ),
    inference(resolution,[],[f456,f870]) ).

fof(f1783,plain,
    ( ~ c0_1(a875)
    | ~ c2_1(a875)
    | ~ spl0_53
    | ~ spl0_66 ),
    inference(resolution,[],[f456,f528]) ).

fof(f1785,plain,
    ( ~ spl0_67
    | ~ spl0_68
    | ~ spl0_53
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1783,f527,f455,f536,f532]) ).

fof(f1786,plain,
    ( ~ spl0_152
    | ~ spl0_183
    | ~ spl0_53
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1772,f925,f455,f1525,f929]) ).

fof(f1789,plain,
    ( ~ c2_1(a829)
    | c0_1(a829)
    | ~ spl0_56
    | spl0_156 ),
    inference(resolution,[],[f470,f949]) ).

fof(f1794,plain,
    ( ~ c2_1(a843)
    | c0_1(a843)
    | ~ spl0_56
    | spl0_129 ),
    inference(resolution,[],[f470,f823]) ).

fof(f1795,plain,
    ( ~ c2_1(a851)
    | c0_1(a851)
    | ~ spl0_56
    | spl0_117 ),
    inference(resolution,[],[f470,f767]) ).

fof(f1798,plain,
    ( ~ c2_1(a890)
    | c0_1(a890)
    | ~ spl0_56
    | spl0_84 ),
    inference(resolution,[],[f470,f613]) ).

fof(f1801,plain,
    ( spl0_85
    | ~ spl0_86
    | ~ spl0_56
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1798,f612,f469,f621,f617]) ).

fof(f1802,plain,
    ( spl0_163
    | ~ spl0_118
    | ~ spl0_56
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1795,f766,f469,f771,f990]) ).

fof(f1803,plain,
    ( spl0_130
    | ~ spl0_175
    | ~ spl0_56
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1794,f822,f469,f1296,f827]) ).

fof(f1804,plain,
    ( spl0_158
    | ~ spl0_171
    | ~ spl0_56
    | spl0_156 ),
    inference(avatar_split_clause,[],[f1789,f948,f469,f1141,f957]) ).

fof(f1806,plain,
    ( ~ spl0_70
    | ~ spl0_69
    | ~ spl0_31
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1234,f551,f359,f542,f547]) ).

fof(f1809,plain,
    ( ~ spl0_174
    | ~ spl0_128
    | ~ spl0_43
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1456,f813,f403,f817,f1288]) ).

fof(f1812,plain,
    ( spl0_126
    | ~ spl0_174
    | ~ spl0_49
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1282,f813,f432,f1288,f808]) ).

fof(f1814,plain,
    ( ~ spl0_165
    | ~ spl0_140
    | ~ spl0_53
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1773,f869,f455,f873,f1013]) ).

fof(f1815,plain,
    ( spl0_29
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1619,f432,f426,f352]) ).

fof(f1817,plain,
    ( ~ spl0_140
    | spl0_165
    | ~ spl0_29
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1386,f869,f352,f1013,f873]) ).

fof(f1832,plain,
    ( ~ c0_1(a859)
    | c3_1(a859)
    | ~ spl0_46
    | spl0_109 ),
    inference(resolution,[],[f730,f418]) ).

fof(f1834,plain,
    ( ~ c0_1(a859)
    | c2_1(a859)
    | ~ spl0_49
    | spl0_109 ),
    inference(resolution,[],[f730,f433]) ).

fof(f1835,plain,
    ( spl0_177
    | ~ spl0_110
    | ~ spl0_49
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1834,f729,f432,f733,f1353]) ).

fof(f1837,plain,
    ( spl0_108
    | ~ spl0_110
    | ~ spl0_46
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1832,f729,f417,f733,f724]) ).

fof(f1839,plain,
    ( c2_1(a884)
    | ~ c0_1(a884)
    | ~ spl0_33
    | ~ spl0_89 ),
    inference(resolution,[],[f636,f369]) ).

fof(f1840,plain,
    ( ~ spl0_180
    | spl0_87
    | ~ spl0_33
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1839,f635,f368,f626,f1430]) ).

fof(f1866,plain,
    ( c0_1(a844)
    | c2_1(a844)
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(resolution,[],[f480,f818]) ).

fof(f1868,plain,
    ( c0_1(a846)
    | c2_1(a846)
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(resolution,[],[f480,f790]) ).

fof(f1869,plain,
    ( c0_1(a858)
    | c2_1(a858)
    | ~ spl0_58
    | ~ spl0_170 ),
    inference(resolution,[],[f480,f1136]) ).

fof(f1880,plain,
    ( spl0_111
    | spl0_113
    | ~ spl0_58
    | ~ spl0_170 ),
    inference(avatar_split_clause,[],[f1869,f1105,f479,f747,f738]) ).

fof(f1883,plain,
    ( spl0_120
    | spl0_121
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1868,f789,f479,f785,f780]) ).

fof(f1887,plain,
    ( spl0_126
    | spl0_174
    | ~ spl0_58
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1866,f817,f479,f1288,f808]) ).

fof(f1888,plain,
    ( ~ spl0_163
    | ~ spl0_118
    | ~ spl0_27
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1185,f766,f344,f771,f990]) ).

fof(f1895,plain,
    ( spl0_163
    | ~ spl0_118
    | ~ spl0_55
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1372,f775,f463,f771,f990]) ).

fof(f1896,plain,
    ( spl0_162
    | ~ spl0_70
    | ~ spl0_55
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1255,f551,f463,f547,f982]) ).

fof(f1910,plain,
    ( ~ spl0_163
    | spl0_117
    | ~ spl0_28
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1002,f775,f348,f766,f990]) ).

fof(f1918,plain,
    ( ~ c2_1(a851)
    | ~ c0_1(a851)
    | ~ spl0_26
    | ~ spl0_119 ),
    inference(resolution,[],[f341,f776]) ).

fof(f1923,plain,
    ( ~ c2_1(a839)
    | ~ c0_1(a839)
    | ~ spl0_26
    | ~ spl0_76 ),
    inference(resolution,[],[f341,f576]) ).

fof(f1924,plain,
    ( ~ c2_1(a849)
    | ~ c0_1(a849)
    | ~ spl0_26
    | ~ spl0_73 ),
    inference(resolution,[],[f341,f562]) ).

fof(f1925,plain,
    ( ~ spl0_74
    | ~ spl0_72
    | ~ spl0_26
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1924,f561,f340,f556,f565]) ).

fof(f1926,plain,
    ( ~ spl0_77
    | ~ spl0_164
    | ~ spl0_26
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1923,f575,f340,f995,f579]) ).

fof(f1928,plain,
    ( ~ spl0_163
    | ~ spl0_118
    | ~ spl0_26
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1918,f775,f340,f771,f990]) ).

fof(f1932,plain,
    ( ~ c2_1(a833)
    | ~ c0_1(a833)
    | ~ spl0_27
    | spl0_144 ),
    inference(resolution,[],[f345,f893]) ).

fof(f1936,plain,
    ( ~ c2_1(a859)
    | ~ c0_1(a859)
    | ~ spl0_27
    | spl0_108 ),
    inference(resolution,[],[f345,f725]) ).

fof(f1941,plain,
    ( ~ spl0_110
    | ~ spl0_177
    | ~ spl0_27
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1936,f724,f344,f1353,f733]) ).

fof(f1944,plain,
    ( ~ spl0_146
    | ~ spl0_145
    | ~ spl0_27
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1932,f892,f344,f897,f901]) ).

fof(f1954,plain,
    ( c3_1(a866)
    | ~ c0_1(a866)
    | ~ spl0_28
    | ~ spl0_94 ),
    inference(resolution,[],[f349,f660]) ).

fof(f1959,plain,
    ( ~ spl0_95
    | spl0_93
    | ~ spl0_28
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1954,f659,f348,f654,f663]) ).

fof(f1963,plain,
    ( c0_1(a831)
    | ~ c2_1(a831)
    | ~ spl0_52
    | ~ spl0_151 ),
    inference(resolution,[],[f451,f926]) ).

fof(f1973,plain,
    ( c0_1(a919)
    | ~ c2_1(a919)
    | ~ spl0_52
    | ~ spl0_79 ),
    inference(resolution,[],[f451,f590]) ).

fof(f1979,plain,
    ( ~ spl0_80
    | spl0_78
    | ~ spl0_52
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1973,f589,f450,f584,f593]) ).

fof(f1988,plain,
    ( ~ spl0_152
    | spl0_183
    | ~ spl0_52
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1963,f925,f450,f1525,f929]) ).

fof(f1994,plain,
    ( ~ c3_1(a853)
    | c0_1(a853)
    | ~ spl0_54
    | ~ spl0_116 ),
    inference(resolution,[],[f459,f762]) ).

fof(f1997,plain,
    ( ~ c3_1(a884)
    | c0_1(a884)
    | ~ spl0_54
    | ~ spl0_89 ),
    inference(resolution,[],[f459,f636]) ).

fof(f2000,plain,
    ( spl0_180
    | ~ spl0_88
    | ~ spl0_54
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1997,f635,f458,f631,f1430]) ).

fof(f2003,plain,
    ( spl0_114
    | ~ spl0_115
    | ~ spl0_54
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1994,f761,f458,f757,f752]) ).

fof(f2008,plain,
    ( ~ spl0_77
    | ~ spl0_75
    | ~ spl0_23
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1316,f575,f329,f570,f579]) ).

fof(f2021,plain,
    ( spl0_99
    | ~ spl0_184
    | ~ spl0_48
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1615,f691,f426,f1599,f682]) ).

fof(f2022,plain,
    ( spl0_87
    | ~ spl0_88
    | ~ spl0_48
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1617,f635,f426,f631,f626]) ).

fof(f2045,plain,
    ( ~ c2_1(a843)
    | c3_1(a843)
    | ~ spl0_34
    | ~ spl0_131 ),
    inference(resolution,[],[f373,f832]) ).

fof(f2049,plain,
    ( spl0_129
    | ~ spl0_175
    | ~ spl0_34
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2045,f831,f372,f1296,f822]) ).

fof(f2110,plain,
    ( ~ c0_1(a859)
    | c2_1(a859)
    | ~ spl0_37
    | spl0_108 ),
    inference(resolution,[],[f383,f725]) ).

fof(f2116,plain,
    ( spl0_177
    | ~ spl0_110
    | ~ spl0_37
    | spl0_108 ),
    inference(avatar_split_clause,[],[f2110,f724,f382,f733,f1353]) ).

fof(f2118,plain,
    ( ~ c2_1(a828)
    | c0_1(a828)
    | ~ spl0_55
    | ~ spl0_161 ),
    inference(resolution,[],[f464,f972]) ).

fof(f2126,plain,
    ( spl0_159
    | ~ spl0_160
    | ~ spl0_55
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2118,f971,f463,f967,f962]) ).

fof(f2153,plain,
    ( c0_1(a838)
    | c2_1(a838)
    | ~ spl0_60
    | ~ spl0_137 ),
    inference(resolution,[],[f491,f860]) ).

fof(f2154,plain,
    ( c0_1(a843)
    | c2_1(a843)
    | ~ spl0_60
    | ~ spl0_131 ),
    inference(resolution,[],[f491,f832]) ).

fof(f2161,plain,
    ( spl0_175
    | spl0_130
    | ~ spl0_60
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2154,f831,f490,f827,f1296]) ).

fof(f2163,plain,
    ( spl0_136
    | spl0_169
    | ~ spl0_60
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2153,f859,f490,f1070,f855]) ).

fof(f2166,plain,
    ( c0_1(a829)
    | c2_1(a829)
    | ~ spl0_61
    | spl0_156 ),
    inference(resolution,[],[f496,f949]) ).

fof(f2169,plain,
    ( c0_1(a835)
    | c2_1(a835)
    | ~ spl0_61
    | spl0_141 ),
    inference(resolution,[],[f496,f879]) ).

fof(f2170,plain,
    ( c0_1(a838)
    | c2_1(a838)
    | ~ spl0_61
    | spl0_135 ),
    inference(resolution,[],[f496,f851]) ).

fof(f2171,plain,
    ( c0_1(a843)
    | c2_1(a843)
    | ~ spl0_61
    | spl0_129 ),
    inference(resolution,[],[f496,f823]) ).

fof(f2184,plain,
    ( spl0_175
    | spl0_130
    | ~ spl0_61
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2171,f822,f495,f827,f1296]) ).

fof(f2185,plain,
    ( spl0_136
    | spl0_169
    | ~ spl0_61
    | spl0_135 ),
    inference(avatar_split_clause,[],[f2170,f850,f495,f1070,f855]) ).

fof(f2188,plain,
    ( spl0_142
    | spl0_143
    | ~ spl0_61
    | spl0_141 ),
    inference(avatar_split_clause,[],[f2169,f878,f495,f887,f883]) ).

fof(f2191,plain,
    ( spl0_171
    | spl0_158
    | ~ spl0_61
    | spl0_156 ),
    inference(avatar_split_clause,[],[f2166,f948,f495,f957,f1141]) ).

fof(f2197,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_62 ),
    inference(resolution,[],[f503,f427]) ).

fof(f2201,plain,
    ( ~ c3_1(a831)
    | c0_1(a831)
    | ~ spl0_62
    | spl0_150 ),
    inference(resolution,[],[f503,f921]) ).

fof(f2204,plain,
    ( ~ c3_1(a844)
    | c0_1(a844)
    | ~ spl0_62
    | spl0_127 ),
    inference(resolution,[],[f503,f814]) ).

fof(f2205,plain,
    ( ~ c3_1(a845)
    | c0_1(a845)
    | ~ spl0_62
    | spl0_123 ),
    inference(resolution,[],[f503,f795]) ).

fof(f2211,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_62 ),
    inference(duplicate_literal_removal,[],[f2197]) ).

fof(f2216,plain,
    ( spl0_124
    | ~ spl0_125
    | ~ spl0_62
    | spl0_123 ),
    inference(avatar_split_clause,[],[f2205,f794,f502,f803,f799]) ).

fof(f2217,plain,
    ( spl0_174
    | ~ spl0_128
    | ~ spl0_62
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2204,f813,f502,f817,f1288]) ).

fof(f2218,plain,
    ( spl0_183
    | ~ spl0_151
    | ~ spl0_62
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2201,f920,f502,f925,f1525]) ).

fof(f2219,plain,
    ( spl0_58
    | ~ spl0_48
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2211,f502,f426,f479]) ).

fof(f2236,plain,
    ( ~ c2_1(a865)
    | c0_1(a865)
    | ~ spl0_63
    | spl0_96 ),
    inference(resolution,[],[f507,f669]) ).

fof(f2243,plain,
    ( spl0_97
    | ~ spl0_98
    | ~ spl0_63
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2236,f668,f506,f677,f673]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f258]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f278]) ).

cnf(s5,plain,
    ( spl0_1
    | spl0_12 ),
    inference(sat_conversion,[],[f292]) ).

cnf(s9,plain,
    ( spl0_17
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f317]) ).

cnf(s10,plain,
    ( spl0_13
    | spl0_20 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s11,plain,
    ( spl0_3
    | spl0_21
    | ~ spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s12,plain,
    ( spl0_21
    | ~ spl0_22
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s18,plain,
    ( spl0_21
    | ~ spl0_22
    | spl0_23
    | spl0_29 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s19,plain,
    ( spl0_2
    | ~ spl0_22
    | spl0_26
    | spl0_29 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s21,plain,
    ( spl0_7
    | ~ spl0_22
    | spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s25,plain,
    ( spl0_3
    | ~ spl0_22
    | spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f405]) ).

cnf(s26,plain,
    ( spl0_14
    | spl0_19
    | ~ spl0_22
    | spl0_43 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s27,plain,
    ( spl0_10
    | ~ spl0_22
    | spl0_26
    | spl0_43 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s28,plain,
    ( spl0_20
    | ~ spl0_22
    | spl0_34
    | spl0_44 ),
    inference(sat_conversion,[],[f411]) ).

cnf(s30,plain,
    ( spl0_21
    | ~ spl0_22
    | spl0_31
    | spl0_46 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s31,plain,
    ( spl0_15
    | ~ spl0_22
    | spl0_33
    | spl0_46 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s32,plain,
    ( spl0_20
    | ~ spl0_22
    | spl0_36
    | spl0_47 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s33,plain,
    ( spl0_7
    | ~ spl0_22
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s34,plain,
    ( ~ spl0_22
    | spl0_42
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s35,plain,
    ( ~ spl0_22
    | spl0_32
    | spl0_46
    | spl0_47 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s36,plain,
    ( spl0_4
    | spl0_11
    | ~ spl0_22
    | spl0_49 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s37,plain,
    ( spl0_12
    | spl0_17
    | ~ spl0_22
    | spl0_49 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s38,plain,
    ( spl0_2
    | ~ spl0_22
    | spl0_27
    | spl0_49 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s39,plain,
    ( spl0_7
    | ~ spl0_22
    | spl0_28
    | spl0_49 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s40,plain,
    ( ~ spl0_22
    | spl0_29
    | spl0_36
    | spl0_49 ),
    inference(sat_conversion,[],[f438]) ).

cnf(s41,plain,
    ( spl0_11
    | spl0_15
    | ~ spl0_22
    | spl0_50 ),
    inference(sat_conversion,[],[f442]) ).

cnf(s42,plain,
    ( spl0_8
    | spl0_17
    | ~ spl0_22
    | spl0_50 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s43,plain,
    ( ~ spl0_22
    | spl0_25
    | spl0_28
    | spl0_50 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s44,plain,
    ( ~ spl0_22
    | spl0_27
    | spl0_44
    | spl0_50 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s46,plain,
    ( ~ spl0_22
    | spl0_40
    | spl0_43
    | spl0_52 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s48,plain,
    ( ~ spl0_22
    | spl0_37
    | spl0_48
    | spl0_54 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s49,plain,
    ( spl0_11
    | spl0_19
    | ~ spl0_22
    | spl0_55 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s50,plain,
    ( ~ spl0_22
    | spl0_31
    | spl0_37
    | spl0_55 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s51,plain,
    ( spl0_1
    | ~ spl0_22
    | spl0_47
    | spl0_55 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s52,plain,
    ( spl0_11
    | ~ spl0_22
    | spl0_38
    | spl0_56 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s53,plain,
    ( spl0_4
    | ~ spl0_22
    | spl0_23
    | spl0_56 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s54,plain,
    ( ~ spl0_22
    | spl0_30
    | spl0_54
    | spl0_56 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s57,plain,
    ( spl0_8
    | ~ spl0_22
    | spl0_26
    | spl0_58 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s58,plain,
    ( spl0_16
    | ~ spl0_22
    | spl0_27
    | spl0_58 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s59,plain,
    ( ~ spl0_22
    | spl0_25
    | spl0_28
    | spl0_58 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s60,plain,
    ( ~ spl0_22
    | spl0_33
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s61,plain,
    ( spl0_2
    | ~ spl0_22
    | spl0_51
    | spl0_60 ),
    inference(sat_conversion,[],[f492]) ).

cnf(s62,plain,
    ( ~ spl0_22
    | spl0_25
    | spl0_36
    | spl0_60 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s63,plain,
    ( spl0_4
    | spl0_16
    | ~ spl0_22
    | spl0_61 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s64,plain,
    ( ~ spl0_22
    | spl0_42
    | spl0_51
    | spl0_61 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s65,plain,
    ( spl0_4
    | ~ spl0_22
    | spl0_26
    | spl0_61 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s67,plain,
    ( ~ spl0_22
    | spl0_53
    | spl0_55
    | spl0_62 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s68,plain,
    ( spl0_5
    | spl0_17
    | ~ spl0_22
    | spl0_63 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s80,plain,
    ( ~ spl0_15
    | spl0_66 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s81,plain,
    ( ~ spl0_15
    | spl0_67 ),
    inference(sat_conversion,[],[f534]) ).

cnf(s82,plain,
    ( ~ spl0_15
    | spl0_68 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s84,plain,
    ( ~ spl0_10
    | spl0_69 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s85,plain,
    ( ~ spl0_10
    | spl0_70 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s86,plain,
    ( ~ spl0_10
    | spl0_71 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s88,plain,
    ( ~ spl0_25
    | spl0_72 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s89,plain,
    ( ~ spl0_25
    | spl0_73 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s90,plain,
    ( ~ spl0_25
    | spl0_74 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s92,plain,
    ( ~ spl0_20
    | spl0_75 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s93,plain,
    ( ~ spl0_20
    | spl0_76 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s94,plain,
    ( ~ spl0_20
    | spl0_77 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s96,plain,
    ( ~ spl0_24
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s97,plain,
    ( ~ spl0_24
    | spl0_79 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s98,plain,
    ( ~ spl0_24
    | spl0_80 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s104,plain,
    ( ~ spl0_21
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f615]) ).

cnf(s105,plain,
    ( ~ spl0_21
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s106,plain,
    ( ~ spl0_21
    | spl0_86 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s108,plain,
    ( ~ spl0_32
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s109,plain,
    ( ~ spl0_32
    | spl0_88 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s110,plain,
    ( ~ spl0_32
    | spl0_89 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s116,plain,
    ( ~ spl0_19
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s117,plain,
    ( ~ spl0_19
    | spl0_94 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s118,plain,
    ( ~ spl0_19
    | spl0_95 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s120,plain,
    ( ~ spl0_1
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s121,plain,
    ( ~ spl0_1
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s122,plain,
    ( ~ spl0_1
    | spl0_98 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s123,plain,
    ( ~ spl0_1
    | spl0_22 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s124,plain,
    ( ~ spl0_38
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s126,plain,
    ( ~ spl0_38
    | spl0_101 ),
    inference(sat_conversion,[],[f693]) ).

cnf(s128,plain,
    ( ~ spl0_11
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s129,plain,
    ( ~ spl0_11
    | spl0_103 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s130,plain,
    ( ~ spl0_11
    | spl0_104 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s132,plain,
    ( ~ spl0_30
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s133,plain,
    ( ~ spl0_30
    | spl0_106 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s134,plain,
    ( ~ spl0_30
    | spl0_107 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s136,plain,
    ( ~ spl0_7
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s137,plain,
    ( ~ spl0_7
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s138,plain,
    ( ~ spl0_7
    | spl0_110 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s140,plain,
    ( ~ spl0_6
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s141,plain,
    ( ~ spl0_6
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s142,plain,
    ( ~ spl0_6
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s144,plain,
    ( ~ spl0_59
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s145,plain,
    ( ~ spl0_59
    | spl0_115 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s146,plain,
    ( ~ spl0_59
    | spl0_116 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s148,plain,
    ( ~ spl0_2
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s149,plain,
    ( ~ spl0_2
    | spl0_118 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s150,plain,
    ( ~ spl0_2
    | spl0_119 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s152,plain,
    ( ~ spl0_42
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s153,plain,
    ( ~ spl0_42
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s154,plain,
    ( ~ spl0_42
    | spl0_122 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s156,plain,
    ( ~ spl0_51
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s157,plain,
    ( ~ spl0_51
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f801]) ).

cnf(s158,plain,
    ( ~ spl0_51
    | spl0_125 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s160,plain,
    ( ~ spl0_4
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s161,plain,
    ( ~ spl0_4
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s162,plain,
    ( ~ spl0_4
    | spl0_128 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s164,plain,
    ( ~ spl0_13
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s165,plain,
    ( ~ spl0_13
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s166,plain,
    ( ~ spl0_13
    | spl0_131 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s168,plain,
    ( ~ spl0_17
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f839]) ).

cnf(s169,plain,
    ( ~ spl0_17
    | spl0_133 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s170,plain,
    ( ~ spl0_17
    | spl0_134 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s172,plain,
    ( ~ spl0_14
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s173,plain,
    ( ~ spl0_14
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s174,plain,
    ( ~ spl0_14
    | spl0_137 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s176,plain,
    ( ~ spl0_12
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s177,plain,
    ( ~ spl0_12
    | spl0_139 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s178,plain,
    ( ~ spl0_12
    | spl0_140 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s179,plain,
    ( ~ spl0_12
    | spl0_22 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s180,plain,
    ( ~ spl0_18
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f881]) ).

cnf(s181,plain,
    ( ~ spl0_18
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s182,plain,
    ( ~ spl0_18
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s184,plain,
    ( ~ spl0_40
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f895]) ).

cnf(s185,plain,
    ( ~ spl0_40
    | spl0_145 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s186,plain,
    ( ~ spl0_40
    | spl0_146 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s188,plain,
    ( ~ spl0_16
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s189,plain,
    ( ~ spl0_16
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s190,plain,
    ( ~ spl0_16
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s192,plain,
    ( ~ spl0_36
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f923]) ).

cnf(s193,plain,
    ( ~ spl0_36
    | spl0_151 ),
    inference(sat_conversion,[],[f927]) ).

cnf(s194,plain,
    ( ~ spl0_36
    | spl0_152 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s196,plain,
    ( ~ spl0_8
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s197,plain,
    ( ~ spl0_8
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f941]) ).

cnf(s198,plain,
    ( ~ spl0_8
    | spl0_155 ),
    inference(sat_conversion,[],[f945]) ).

cnf(s200,plain,
    ( ~ spl0_3
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f951]) ).

cnf(s201,plain,
    ( ~ spl0_3
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f955]) ).

cnf(s202,plain,
    ( ~ spl0_3
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s204,plain,
    ( ~ spl0_5
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s205,plain,
    ( ~ spl0_5
    | spl0_160 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s206,plain,
    ( ~ spl0_5
    | spl0_161 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s209,plain,
    ( ~ spl0_23
    | ~ spl0_69
    | ~ spl0_71
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s217,plain,
    ( ~ spl0_34
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1023]) ).

cnf(s220,plain,
    ( ~ spl0_43
    | spl0_138
    | ~ spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1051]) ).

cnf(s221,plain,
    ( ~ spl0_26
    | ~ spl0_43
    | spl0_53 ),
    inference(sat_conversion,[],[f1052]) ).

cnf(s227,plain,
    ( ~ spl0_28
    | spl0_135
    | ~ spl0_137
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s229,plain,
    ( ~ spl0_26
    | spl0_27
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s231,plain,
    ( ~ spl0_47
    | spl0_111
    | spl0_112
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1107]) ).

cnf(s235,plain,
    ( ~ spl0_50
    | spl0_147
    | spl0_148
    | spl0_149 ),
    inference(sat_conversion,[],[f1139]) ).

cnf(s237,plain,
    ( ~ spl0_47
    | spl0_153
    | spl0_154
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s238,plain,
    ( ~ spl0_49
    | spl0_153
    | spl0_154
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1153]) ).

cnf(s239,plain,
    ( ~ spl0_28
    | ~ spl0_133
    | ~ spl0_134
    | spl0_173 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s242,plain,
    ( spl0_27
    | ~ spl0_28
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s260,plain,
    ( ~ spl0_47
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1286]) ).

cnf(s269,plain,
    ( ~ spl0_23
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1323]) ).

cnf(s270,plain,
    ( ~ spl0_23
    | spl0_29
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f1324]) ).

cnf(s271,plain,
    ( ~ spl0_23
    | spl0_29
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1325]) ).

cnf(s276,plain,
    ( ~ spl0_34
    | ~ spl0_72
    | ~ spl0_73
    | spl0_176 ),
    inference(sat_conversion,[],[f1340]) ).

cnf(s297,plain,
    ( ~ spl0_29
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f1397]) ).

cnf(s300,plain,
    ( ~ spl0_33
    | ~ spl0_76
    | ~ spl0_77
    | spl0_164 ),
    inference(sat_conversion,[],[f1421]) ).

cnf(s309,plain,
    ( ~ spl0_44
    | spl0_109
    | ~ spl0_110
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1476]) ).

cnf(s313,plain,
    ( ~ spl0_31
    | ~ spl0_43
    | spl0_53 ),
    inference(sat_conversion,[],[f1480]) ).

cnf(s334,plain,
    ( ~ spl0_47
    | spl0_138
    | ~ spl0_139
    | spl0_165 ),
    inference(sat_conversion,[],[f1561]) ).

cnf(s339,plain,
    ( ~ spl0_50
    | spl0_156
    | spl0_157
    | spl0_171 ),
    inference(sat_conversion,[],[f1582]) ).

cnf(s343,plain,
    ( ~ spl0_47
    | ~ spl0_54
    | spl0_58 ),
    inference(sat_conversion,[],[f1602]) ).

cnf(s349,plain,
    ( ~ spl0_48
    | spl0_132
    | ~ spl0_133
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1624]) ).

cnf(s357,plain,
    ( ~ spl0_44
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1632]) ).

cnf(s358,plain,
    ( ~ spl0_23
    | ~ spl0_44
    | spl0_53 ),
    inference(sat_conversion,[],[f1633]) ).

cnf(s366,plain,
    ( ~ spl0_50
    | spl0_111
    | spl0_112
    | spl0_170 ),
    inference(sat_conversion,[],[f1641]) ).

cnf(s376,plain,
    ( ~ spl0_37
    | spl0_153
    | ~ spl0_155
    | spl0_172 ),
    inference(sat_conversion,[],[f1651]) ).

cnf(s381,plain,
    ( ~ spl0_33
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1674]) ).

cnf(s384,plain,
    ( ~ spl0_35
    | spl0_99
    | ~ spl0_101
    | spl0_184 ),
    inference(sat_conversion,[],[f1690]) ).

cnf(s385,plain,
    ( ~ spl0_35
    | spl0_129
    | ~ spl0_131
    | spl0_175 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s386,plain,
    ( ~ spl0_35
    | spl0_132
    | ~ spl0_133
    | spl0_173 ),
    inference(sat_conversion,[],[f1692]) ).

cnf(s387,plain,
    ( ~ spl0_35
    | spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f1693]) ).

cnf(s390,plain,
    ( ~ spl0_23
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1700]) ).

cnf(s395,plain,
    ( ~ spl0_44
    | spl0_150
    | ~ spl0_152
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f1735]) ).

cnf(s403,plain,
    ( ~ spl0_53
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f1785]) ).

cnf(s404,plain,
    ( ~ spl0_53
    | ~ spl0_151
    | ~ spl0_152
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f1786]) ).

cnf(s405,plain,
    ( ~ spl0_56
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f1801]) ).

cnf(s406,plain,
    ( ~ spl0_56
    | spl0_117
    | ~ spl0_118
    | spl0_163 ),
    inference(sat_conversion,[],[f1802]) ).

cnf(s407,plain,
    ( ~ spl0_56
    | spl0_129
    | spl0_130
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f1803]) ).

cnf(s408,plain,
    ( ~ spl0_56
    | spl0_156
    | spl0_158
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s410,plain,
    ( ~ spl0_31
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f1806]) ).

cnf(s413,plain,
    ( ~ spl0_43
    | spl0_127
    | ~ spl0_128
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1809]) ).

cnf(s416,plain,
    ( ~ spl0_49
    | spl0_126
    | spl0_127
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s418,plain,
    ( ~ spl0_53
    | ~ spl0_139
    | ~ spl0_140
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1814]) ).

cnf(s419,plain,
    ( spl0_29
    | ~ spl0_48
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f1815]) ).

cnf(s421,plain,
    ( ~ spl0_29
    | ~ spl0_139
    | ~ spl0_140
    | spl0_165 ),
    inference(sat_conversion,[],[f1817]) ).

cnf(s431,plain,
    ( ~ spl0_49
    | spl0_109
    | ~ spl0_110
    | spl0_177 ),
    inference(sat_conversion,[],[f1835]) ).

cnf(s433,plain,
    ( ~ spl0_46
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f1837]) ).

cnf(s435,plain,
    ( ~ spl0_33
    | spl0_87
    | ~ spl0_89
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f1840]) ).

cnf(s443,plain,
    ( ~ spl0_58
    | spl0_111
    | spl0_113
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1880]) ).

cnf(s444,plain,
    ( ~ spl0_58
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1883]) ).

cnf(s446,plain,
    ( ~ spl0_58
    | spl0_126
    | ~ spl0_128
    | spl0_174 ),
    inference(sat_conversion,[],[f1887]) ).

cnf(s447,plain,
    ( ~ spl0_27
    | spl0_117
    | ~ spl0_118
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1888]) ).

cnf(s454,plain,
    ( ~ spl0_55
    | ~ spl0_118
    | ~ spl0_119
    | spl0_163 ),
    inference(sat_conversion,[],[f1895]) ).

cnf(s455,plain,
    ( ~ spl0_55
    | ~ spl0_70
    | ~ spl0_71
    | spl0_162 ),
    inference(sat_conversion,[],[f1896]) ).

cnf(s469,plain,
    ( ~ spl0_28
    | spl0_117
    | ~ spl0_119
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1910]) ).

cnf(s473,plain,
    ( ~ spl0_26
    | ~ spl0_72
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1925]) ).

cnf(s474,plain,
    ( ~ spl0_26
    | ~ spl0_76
    | ~ spl0_77
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1926]) ).

cnf(s476,plain,
    ( ~ spl0_26
    | ~ spl0_118
    | ~ spl0_119
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1928]) ).

cnf(s479,plain,
    ( ~ spl0_27
    | spl0_108
    | ~ spl0_110
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1941]) ).

cnf(s480,plain,
    ( ~ spl0_27
    | spl0_144
    | ~ spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1944]) ).

cnf(s484,plain,
    ( ~ spl0_28
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f1959]) ).

cnf(s488,plain,
    ( ~ spl0_52
    | spl0_78
    | ~ spl0_79
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f1979]) ).

cnf(s491,plain,
    ( ~ spl0_52
    | ~ spl0_151
    | ~ spl0_152
    | spl0_183 ),
    inference(sat_conversion,[],[f1988]) ).

cnf(s492,plain,
    ( ~ spl0_54
    | ~ spl0_88
    | ~ spl0_89
    | spl0_180 ),
    inference(sat_conversion,[],[f2000]) ).

cnf(s494,plain,
    ( ~ spl0_54
    | spl0_114
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2003]) ).

cnf(s499,plain,
    ( ~ spl0_23
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f2008]) ).

cnf(s512,plain,
    ( ~ spl0_48
    | spl0_99
    | ~ spl0_101
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f2021]) ).

cnf(s513,plain,
    ( ~ spl0_48
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f2022]) ).

cnf(s526,plain,
    ( ~ spl0_34
    | spl0_129
    | ~ spl0_131
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2049]) ).

cnf(s545,plain,
    ( ~ spl0_37
    | spl0_108
    | ~ spl0_110
    | spl0_177 ),
    inference(sat_conversion,[],[f2116]) ).

cnf(s548,plain,
    ( ~ spl0_55
    | spl0_159
    | ~ spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2126]) ).

cnf(s573,plain,
    ( ~ spl0_60
    | spl0_130
    | ~ spl0_131
    | spl0_175 ),
    inference(sat_conversion,[],[f2161]) ).

cnf(s574,plain,
    ( ~ spl0_60
    | spl0_136
    | ~ spl0_137
    | spl0_169 ),
    inference(sat_conversion,[],[f2163]) ).

cnf(s581,plain,
    ( ~ spl0_61
    | spl0_129
    | spl0_130
    | spl0_175 ),
    inference(sat_conversion,[],[f2184]) ).

cnf(s582,plain,
    ( ~ spl0_61
    | spl0_135
    | spl0_136
    | spl0_169 ),
    inference(sat_conversion,[],[f2185]) ).

cnf(s583,plain,
    ( ~ spl0_61
    | spl0_141
    | spl0_142
    | spl0_143 ),
    inference(sat_conversion,[],[f2188]) ).

cnf(s585,plain,
    ( ~ spl0_61
    | spl0_156
    | spl0_158
    | spl0_171 ),
    inference(sat_conversion,[],[f2191]) ).

cnf(s588,plain,
    ( ~ spl0_62
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2216]) ).

cnf(s589,plain,
    ( ~ spl0_62
    | spl0_127
    | ~ spl0_128
    | spl0_174 ),
    inference(sat_conversion,[],[f2217]) ).

cnf(s590,plain,
    ( ~ spl0_62
    | spl0_150
    | ~ spl0_151
    | spl0_183 ),
    inference(sat_conversion,[],[f2218]) ).

cnf(s591,plain,
    ( ~ spl0_48
    | spl0_58
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f2219]) ).

cnf(s593,plain,
    ( ~ spl0_63
    | spl0_96
    | spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f2243]) ).

cnf(s597,plain,
    ( ~ spl0_8
    | ~ spl0_37
    | ~ spl0_47 ),
    inference(rat,[],[s376,s237,s196,s197,s198]) ).

cnf(s598,plain,
    ( ~ spl0_51
    | ~ spl0_62 ),
    inference(rat,[],[s588,s156,s157,s158]) ).

cnf(s599,plain,
    ( spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s499,s92,s93,s94,s28,s358,s53,s406,s476,s57,s597,s48,s591,s67,s418,s334,s343,s51,s548,s204,s205,s206,s2,s217,s148,s149,s150,s1,s444,s152,s153,s154,s25,s220,s176,s177,s178,s179,s5]) ).

cnf(s600,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s494,s144,s145,s146,s60,s435,s492,s48,s513,s108,s109,s110,s35,s545,s433,s309,s136,s137,s138,s44,s39,s235,s238,s188,s189,s190,s196,s197,s198,s58,s57,s447,s469,s476,s454,s51,s260,s160,s161,s162,s599,s444,s152,s153,s154,s25,s179,s150,s149,s148,s1,s220,s176,s177,s178,s5]) ).

cnf(s601,plain,
    ( ~ spl0_37
    | ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s235,s188,s189,s190,s58,s444,s44,s152,s153,s154,s309,s34,s545,s433,s136,s137,s138,s39,s447,s469,s454,s51,s597,s179,s5,s150,s149,s148,s1,s238,s196,s197,s198]) ).

cnf(s603,plain,
    ( ~ spl0_4
    | ~ spl0_47 ),
    inference(rat,[],[s260,s160,s161,s162]) ).

cnf(s604,plain,
    ( ~ spl0_47
    | spl0_49
    | ~ spl0_22 ),
    inference(rat,[],[s405,s104,s105,s106,s53,s18,s270,s297,s128,s129,s130,s36,s603]) ).

cnf(s605,plain,
    ( ~ spl0_8
    | spl0_1 ),
    inference(rat,[],[s494,s144,s145,s146,s60,s435,s492,s48,s444,s513,s152,s153,s154,s108,s109,s110,s34,s35,s433,s136,s137,s138,s39,s469,s454,s51,s604,s601,s238,s196,s197,s198,s179,s5,s150,s149,s148,s1]) ).

cnf(s606,plain,
    ( ~ spl0_23
    | spl0_53
    | spl0_1 ),
    inference(rat,[],[s499,s92,s93,s94,s28,s358,s179,s5,s217,s148,s149,s150,s1]) ).

cnf(s607,plain,
    ( ~ spl0_47
    | spl0_1 ),
    inference(rat,[],[s65,s585,s476,s408,s406,s53,s606,s418,s603,s334,s179,s178,s177,s176,s5,s150,s149,s148,s1,s202,s200,s600]) ).

cnf(s608,plain,
    ( spl0_4
    | spl0_1 ),
    inference(rat,[],[s408,s585,s53,s65,s202,s200,s600,s209,s455,s85,s86,s84,s27,s476,s454,s51,s607,s150,s149,s1,s179,s220,s176,s177,s178,s5]) ).

cnf(s609,plain,
    spl0_1,
    inference(rat,[],[s444,s152,s153,s154,s34,s433,s136,s137,s138,s39,s416,s446,s160,s161,s162,s608,s57,s469,s476,s454,s51,s607,s605,s148,s149,s150,s179,s1,s5]) ).

cnf(s610,plain,
    spl0_22,
    inference(rat,[],[s123,s609]) ).

cnf(s611,plain,
    spl0_98,
    inference(rat,[],[s122,s609]) ).

cnf(s612,plain,
    ~ spl0_97,
    inference(rat,[],[s121,s609]) ).

cnf(s613,plain,
    ~ spl0_96,
    inference(rat,[],[s120,s609]) ).

cnf(s614,plain,
    ~ spl0_63,
    inference(rat,[],[s593,s611,s612,s613]) ).

cnf(s615,plain,
    ( ~ spl0_8
    | ~ spl0_49 ),
    inference(rat,[],[s238,s196,s197,s198]) ).

cnf(s616,plain,
    ( ~ spl0_25
    | ~ spl0_26 ),
    inference(rat,[],[s473,s88,s89,s90]) ).

cnf(s617,plain,
    ( ~ spl0_17
    | ~ spl0_28
    | ~ spl0_23 ),
    inference(rat,[],[s239,s269,s169,s170]) ).

cnf(s619,plain,
    ( ~ spl0_20
    | ~ spl0_23 ),
    inference(rat,[],[s499,s92,s93,s94]) ).

cnf(s621,plain,
    ( ~ spl0_30
    | ~ spl0_44 ),
    inference(rat,[],[s357,s132,s133,s134]) ).

cnf(s622,plain,
    ( ~ spl0_140
    | ~ spl0_139
    | ~ spl0_53
    | ~ spl0_29 ),
    inference(rat,[],[s418,s421]) ).

cnf(s624,plain,
    ( ~ spl0_7
    | ~ spl0_44
    | ~ spl0_49 ),
    inference(rat,[],[s309,s431,s137,s138]) ).

cnf(s625,plain,
    ( spl0_34
    | ~ spl0_23
    | ~ spl0_47 ),
    inference(rat,[],[s386,s269,s168,s169,s170,s42,s366,s231,s140,s141,s3,s21,s624,s28,s615,s604,s619,s610]) ).

cnf(s626,plain,
    ( ~ spl0_23
    | ~ spl0_47 ),
    inference(rat,[],[s617,s43,s42,s235,s188,s189,s190,s616,s63,s65,s581,s526,s625,s164,s165,s166,s10,s619,s603,s615,s604,s610]) ).

cnf(s627,plain,
    ( ~ spl0_13
    | ~ spl0_35
    | ~ spl0_56 ),
    inference(rat,[],[s385,s407,s164,s165,s166]) ).

cnf(s628,plain,
    ( spl0_130
    | spl0_129
    | ~ spl0_61
    | ~ spl0_56 ),
    inference(rat,[],[s581,s407]) ).

cnf(s631,plain,
    ( ~ spl0_21
    | ~ spl0_56 ),
    inference(rat,[],[s405,s104,s105,s106]) ).

cnf(s632,plain,
    ( spl0_27
    | ~ spl0_47 ),
    inference(rat,[],[s242,s44,s43,s616,s65,s585,s339,s408,s202,s201,s200,s11,s631,s53,s603,s626,s610]) ).

cnf(s637,plain,
    ( ~ spl0_42
    | ~ spl0_58 ),
    inference(rat,[],[s444,s152,s153,s154]) ).

cnf(s638,plain,
    ( ~ spl0_15
    | ~ spl0_53 ),
    inference(rat,[],[s403,s80,s81,s82]) ).

cnf(s639,plain,
    ( ~ spl0_11
    | ~ spl0_29 ),
    inference(rat,[],[s297,s128,s129,s130]) ).

cnf(s640,plain,
    ~ spl0_47,
    inference(rat,[],[s480,s184,s185,s186,s46,s221,s638,s41,s639,s632,s65,s339,s585,s408,s488,s200,s201,s202,s96,s97,s98,s11,s12,s18,s631,s53,s626,s603,s610]) ).

cnf(s641,plain,
    ( ~ spl0_26
    | spl0_53
    | spl0_50
    | spl0_52 ),
    inference(rat,[],[s242,s44,s480,s184,s185,s186,s46,s43,s221,s616,s610]) ).

cnf(s642,plain,
    ( ~ spl0_49
    | spl0_126
    | spl0_127
    | ~ spl0_128
    | spl0_26 ),
    inference(rat,[],[s446,s57,s416,s615,s610]) ).

cnf(s643,plain,
    ( ~ spl0_40
    | ~ spl0_27 ),
    inference(rat,[],[s480,s184,s185,s186]) ).

cnf(s644,plain,
    ( ~ spl0_7
    | ~ spl0_46 ),
    inference(rat,[],[s433,s136,s137,s138]) ).

cnf(s645,plain,
    ( ~ spl0_5
    | ~ spl0_55 ),
    inference(rat,[],[s548,s204,s205,s206]) ).

cnf(s646,plain,
    ( ~ spl0_43
    | spl0_49
    | spl0_127
    | ~ spl0_128
    | spl0_53
    | spl0_21 ),
    inference(rat,[],[s349,s239,s168,s169,s170,s68,s645,s39,s33,s644,s67,s30,s589,s313,s413,s614,s610,s640]) ).

cnf(s647,plain,
    ( spl0_23
    | ~ spl0_56 ),
    inference(rat,[],[s644,s30,s39,s410,s242,s44,s84,s85,s86,s643,s27,s46,s646,s642,s160,s161,s162,s65,s641,s638,s41,s339,s585,s408,s488,s200,s201,s202,s96,s97,s98,s639,s11,s12,s18,s631,s610]) ).

cnf(s648,plain,
    ( spl0_27
    | ~ spl0_28
    | spl0_50 ),
    inference(rat,[],[s242,s44,s610]) ).

cnf(s649,plain,
    ( spl0_4
    | ~ spl0_56 ),
    inference(rat,[],[s217,s148,s149,s150,s61,s598,s28,s67,s395,s404,s491,s46,s643,s648,s220,s176,s177,s178,s37,s615,s645,s42,s68,s617,s43,s235,s188,s189,s190,s616,s63,s65,s194,s193,s192,s32,s628,s573,s407,s164,s166,s165,s10,s619,s647,s610,s614,s640]) ).

cnf(s651,plain,
    ( ~ spl0_49
    | spl0_25
    | ~ spl0_56 ),
    inference(rat,[],[s484,s116,s117,s118,s49,s645,s68,s617,s59,s639,s446,s271,s416,s647,s162,s161,s160,s649,s610,s614]) ).

cnf(s652,plain,
    ( ~ spl0_28
    | spl0_52
    | spl0_49
    | ~ spl0_23 ),
    inference(rat,[],[s217,s28,s148,s149,s150,s242,s38,s643,s46,s220,s176,s177,s178,s37,s617,s619,s610]) ).

cnf(s653,plain,
    ( spl0_28
    | spl0_49
    | spl0_25 ),
    inference(rat,[],[s34,s644,s637,s39,s59,s610,s640]) ).

cnf(s654,plain,
    ( spl0_25
    | ~ spl0_56 ),
    inference(rat,[],[s217,s148,s149,s150,s61,s598,s28,s67,s395,s404,s645,s491,s68,s652,s617,s653,s651,s194,s193,s192,s32,s573,s407,s164,s166,s165,s10,s619,s647,s610,s614,s640]) ).

cnf(s655,plain,
    ~ spl0_56,
    inference(rat,[],[s48,s492,s513,s435,s108,s109,s110,s545,s31,s35,s309,s638,s644,s136,s137,s138,s358,s21,s28,s276,s390,s88,s89,s90,s654,s627,s10,s619,s647,s610,s640]) ).

cnf(s657,plain,
    ( spl0_50
    | spl0_15
    | ~ spl0_49 ),
    inference(rat,[],[s644,s31,s33,s381,s419,s168,s169,s170,s639,s42,s41,s615,s610,s640]) ).

cnf(s658,plain,
    ( ~ spl0_17
    | spl0_15
    | ~ spl0_28 ),
    inference(rat,[],[s644,s33,s31,s349,s381,s239,s168,s169,s170,s610,s640]) ).

cnf(s659,plain,
    ( ~ spl0_19
    | ~ spl0_28 ),
    inference(rat,[],[s484,s116,s117,s118]) ).

cnf(s660,plain,
    ( spl0_15
    | ~ spl0_28
    | spl0_58
    | ~ spl0_49 ),
    inference(rat,[],[s235,s188,s189,s190,s58,s479,s431,s136,s137,s138,s33,s419,s639,s49,s645,s68,s658,s657,s659,s610,s640,s614]) ).

cnf(s661,plain,
    ( ~ spl0_49
    | ~ spl0_4
    | spl0_25 ),
    inference(rat,[],[s235,s188,s189,s190,s58,s44,s479,s431,s624,s136,s137,s138,s33,s349,s239,s168,s169,s170,s68,s645,s67,s638,s660,s59,s589,s446,s416,s162,s161,s160,s610,s640,s614]) ).

cnf(s662,plain,
    ( ~ spl0_53
    | spl0_49
    | ~ spl0_26 ),
    inference(rat,[],[s300,s474,s93,s94,s28,s217,s31,s148,s149,s150,s242,s229,s38,s643,s46,s491,s404,s193,s194,s40,s220,s622,s176,s177,s178,s37,s658,s638,s653,s616,s610]) ).

cnf(s663,plain,
    ( ~ spl0_17
    | ~ spl0_28 ),
    inference(rat,[],[s235,s188,s189,s190,s58,s648,s479,s545,s48,s494,s144,s145,s146,s60,s637,s34,s644,s136,s138,s33,s349,s381,s239,s168,s169,s170,s610,s640]) ).

cnf(s664,plain,
    ( spl0_49
    | ~ spl0_26 ),
    inference(rat,[],[s235,s188,s189,s190,s58,s648,s479,s545,s48,s494,s144,s145,s146,s60,s300,s474,s93,s94,s136,s138,s28,s33,s217,s591,s148,s149,s150,s637,s395,s61,s64,s590,s598,s67,s645,s68,s663,s192,s193,s194,s62,s582,s574,s227,s172,s173,s174,s26,s221,s662,s659,s653,s616,s610,s640,s614]) ).

cnf(s665,plain,
    ( ~ spl0_28
    | ~ spl0_26 ),
    inference(rat,[],[s645,s49,s68,s659,s617,s639,s271,s53,s661,s616,s664,s610,s614,s655]) ).

cnf(s666,plain,
    ~ spl0_26,
    inference(rat,[],[s366,s443,s140,s141,s142,s3,s644,s34,s637,s59,s43,s665,s615,s664,s616,s610,s640]) ).

cnf(s667,plain,
    ~ spl0_28,
    inference(rat,[],[s235,s188,s189,s190,s58,s648,s637,s479,s34,s545,s644,s136,s138,s21,s50,s387,s410,s172,s173,s174,s84,s85,s86,s26,s27,s220,s176,s177,s178,s37,s217,s642,s148,s149,s150,s160,s161,s162,s19,s65,s639,s583,s49,s180,s181,s182,s645,s9,s68,s663,s659,s610,s640,s666,s614]) ).

cnf(s668,plain,
    ~ spl0_49,
    inference(rat,[],[s642,s160,s161,s162,s53,s390,s276,s21,s384,s88,s89,s90,s512,s43,s124,s126,s366,s52,s443,s639,s140,s141,s142,s419,s3,s33,s644,s34,s637,s57,s615,s666,s610,s655,s667,s640]) ).

cnf(s670,plain,
    spl0_7,
    inference(rat,[],[s39,s667,s610,s668]) ).

cnf(s674,plain,
    spl0_110,
    inference(rat,[],[s138,s670]) ).

cnf(s676,plain,
    ~ spl0_108,
    inference(rat,[],[s136,s670]) ).

cnf(s677,plain,
    ~ spl0_46,
    inference(rat,[],[s644,s670]) ).

cnf(s678,plain,
    spl0_32,
    inference(rat,[],[s35,s640,s610,s677]) ).

cnf(s679,plain,
    spl0_42,
    inference(rat,[],[s34,s640,s610,s677]) ).

cnf(s680,plain,
    spl0_89,
    inference(rat,[],[s110,s678]) ).

cnf(s681,plain,
    spl0_88,
    inference(rat,[],[s109,s678]) ).

cnf(s682,plain,
    ~ spl0_87,
    inference(rat,[],[s108,s678]) ).

cnf(s686,plain,
    ~ spl0_58,
    inference(rat,[],[s637,s679]) ).

cnf(s687,plain,
    ~ spl0_48,
    inference(rat,[],[s513,s680,s681,s682]) ).

cnf(s692,plain,
    spl0_54,
    inference(rat,[],[s235,s188,s189,s190,s44,s58,s479,s545,s621,s48,s54,s610,s686,s676,s674,s687,s655]) ).

cnf(s693,plain,
    spl0_180,
    inference(rat,[],[s492,s681,s680,s692]) ).

cnf(s695,plain,
    ~ spl0_33,
    inference(rat,[],[s435,s682,s680,s693]) ).

cnf(s700,plain,
    spl0_59,
    inference(rat,[],[s60,s686,s610,s695]) ).

cnf(s713,plain,
    spl0_116,
    inference(rat,[],[s146,s700]) ).

cnf(s714,plain,
    spl0_115,
    inference(rat,[],[s145,s700]) ).

cnf(s715,plain,
    ~ spl0_114,
    inference(rat,[],[s144,s700]) ).

cnf(s722,plain,
    $false,
    inference(rat,[],[s494,s713,s692,s714,s715]) ).

fof(f2247,plain,
    $false,
    inference(avatar_sat_refutation,[],[s722]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN512+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19  % Computer : n002.cluster.edu
% 0.06/0.19  % Model    : x86_64 x86_64
% 0.06/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19  % Memory   : 8046.5625MB
% 0.06/0.19  % OS       : Linux 6.8.0-71-generic
% 0.06/0.19  % CPULimit : 300
% 0.06/0.19  % WCLimit  : 300
% 0.06/0.19  % DateTime : Mon Sep 28 16:24:07 UTC 2026
% 0.06/0.19  % CPUTime  : 
% 0.06/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22  Running first-order theorem proving
% 0.06/0.22  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
% 1.20/1.14  % (489509)Detected formulas, will run a generic FOF schedule.
% 1.20/1.14  % (489518)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=308589077:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.20/1.14  % (489518)Instruction limit reached! 
% 1.20/1.14  % (489518)------------------------------
% 1.20/1.14  % (489518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.20/1.14  % (489518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/1.14  % (489518)CaDiCaL version: 2.1.3
% 1.20/1.14  % (489518)Termination reason: Instruction limit
% 1.20/1.14  % (489518)Termination phase: Saturation
% 1.20/1.14  % (489518)Time elapsed: 0.031 s
% 1.20/1.14  % (489518)Peak memory usage: 88 MB
% 1.20/1.14  % (489518)Instructions burned: 121 (million)
% 1.20/1.14  % (489517)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=202034423:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.20/1.14  % (489514)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=3092758289:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.20/1.14  % (489515)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=2599717582:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.20/1.14  % (489520)dis-21_1_sil=8000:lcm=predicate:random_seed=3872790181:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.20/1.14  % (489516)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=3396706745:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.20/1.14  % (489519)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3662185918:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.20/1.14  % (489520)First to succeed.
% 1.20/1.14  % (489520)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-489509"
% 1.20/1.14  % (489519)Also succeeded, but the first one will report.
% 1.20/1.14  % (489517)Also succeeded, but the first one will report.
% 1.20/1.14  % (489528)lrs+10_1_sil=8000:sp=occurrence:random_seed=1093696102:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.20/1.14  % (489528)Also succeeded, but the first one will report.
% 1.20/1.14  % (489520)Refutation found. Thanks to Tanya!
% 1.20/1.14  % SZS status Theorem for theBenchmark
% 1.20/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.33  % (489520)------------------------------
% 3.96/1.33  % (489520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.33  % (489520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.33  % (489520)CaDiCaL version: 2.1.3
% 3.96/1.33  % (489520)Termination reason: Refutation
% 3.96/1.33  % (489520)Time elapsed: 0.040 s
% 3.96/1.33  % (489520)Peak memory usage: 90 MB
% 3.96/1.33  % (489520)Instructions burned: 64 (million)
% 3.96/1.33  % (489520)------------------------------
% 3.96/1.33  % (489520)------------------------------
% 3.96/1.33  % (489509)Success in time 0.478 s
% 3.96/1.33  % Vampire exiting
%------------------------------------------------------------------------------