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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN454+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:08:54 PM UTC 2026

% Result   : Theorem 0.43s 0.27s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :  131
% Syntax   : Number of formulae    : 1052 (  25 unt; 130 def)
%            Number of atoms       : 6404 (   0 equ)
%            Maximal formula atoms :  576 (   6 avg)
%            Number of connectives : 8434 (3082   ~;4078   |; 895   &)
%                                         ( 130 <=>; 249  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   97 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  166 ( 165 usr; 162 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   :  621 (   0 sgn 621   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ c1_1(a96)
          & ~ c2_1(a96)
          & ~ c3_1(a96) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a97)
          & c3_1(a97)
          & ~ c1_1(a97) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a98)
          & ~ c0_1(a98)
          & ~ c3_1(a98) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c2_1(a99)
          & ~ c1_1(a99)
          & ~ c3_1(a99) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c2_1(a100)
          & ~ c0_1(a100)
          & ~ c1_1(a100) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c3_1(a101)
          & ~ c1_1(a101)
          & ~ c2_1(a101) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a102)
          & c2_1(a102)
          & ~ c3_1(a102) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a103)
          & ~ c1_1(a103)
          & ~ c3_1(a103) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c0_1(a104)
          & ~ c2_1(a104)
          & ~ c3_1(a104) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a105)
          & c2_1(a105)
          & ~ c1_1(a105) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a106)
          & c3_1(a106)
          & ~ c2_1(a106) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a109)
          & ~ c0_1(a109)
          & ~ c3_1(a109) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c2_1(a110)
          & c3_1(a110)
          & ~ c0_1(a110) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a112)
          & c3_1(a112)
          & ~ c1_1(a112) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a115)
          & ~ c2_1(a115)
          & ~ c3_1(a115) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a116)
          & c3_1(a116)
          & ~ c0_1(a116) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a118)
          & ~ c2_1(a118)
          & ~ c3_1(a118) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a124)
          & ~ c1_1(a124)
          & ~ c3_1(a124) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a125)
          & c1_1(a125)
          & ~ c3_1(a125) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a127)
          & c2_1(a127)
          & ~ c3_1(a127) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a133)
          & c3_1(a133)
          & ~ c2_1(a133) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a145)
          & ~ c0_1(a145)
          & ~ c2_1(a145) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c3_1(a149)
          & ~ c0_1(a149)
          & ~ c1_1(a149) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a152)
          & c1_1(a152)
          & ~ c2_1(a152) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a153)
          & ~ c0_1(a153)
          & ~ c2_1(a153) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a159)
          & ~ c1_1(a159)
          & ~ c2_1(a159) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a94)
          & c1_1(a94)
          & c2_1(a94) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a95)
          & c2_1(a95)
          & c3_1(a95) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a142)
          & c1_1(a142)
          & c3_1(a142) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a165)
          & c2_1(a165)
          & c3_1(a165) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | ~ c1_1(X1)
              | ~ c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | c3_1(X2)
              | ~ c2_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | hskp26
        | hskp27 )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | ~ c0_1(X5)
              | ~ c1_1(X5) ) )
        | hskp0 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | ~ c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | ~ c2_1(X7)
              | ~ c3_1(X7) ) )
        | hskp1 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c3_1(X8) ) )
        | hskp2
        | hskp3 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c3_1(X9) ) )
        | hskp4
        | hskp5 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c2_1(X10)
              | c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c2_1(X11)
              | ~ c1_1(X11) ) )
        | hskp6 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c2_1(X12)
              | ~ c1_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | ~ c2_1(X13)
              | ~ c3_1(X13) ) )
        | hskp7 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c2_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | ~ c2_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c1_1(X16)
              | c3_1(X16)
              | ~ c0_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c2_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c0_1(X18)
              | ~ c1_1(X18)
              | ~ c3_1(X18) ) )
        | hskp8 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c3_1(X19)
              | ~ c1_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c2_1(X20)
              | c3_1(X20)
              | ~ c0_1(X20) ) )
        | hskp9 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c3_1(X21)
              | ~ c1_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c2_1(X22)
              | ~ c0_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c2_1(X23)
              | ~ c1_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c3_1(X24)
              | ~ c2_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | ~ c1_1(X25)
              | ~ c2_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | ~ c1_1(X26)
              | ~ c3_1(X26) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c3_1(X27)
              | ~ c2_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | c3_1(X29)
              | ~ c1_1(X29) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | ~ c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c1_1(X31)
              | c3_1(X31)
              | ~ c2_1(X31) ) )
        | hskp10 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c1_1(X32)
              | ~ c2_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c2_1(X33)
              | ~ c0_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | ~ c1_1(X34)
              | ~ c2_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c1_1(X35)
              | ~ c2_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c0_1(X36)
              | ~ c2_1(X36)
              | ~ c3_1(X36) ) )
        | hskp1 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | ~ c1_1(X37)
              | ~ c2_1(X37) ) )
        | hskp26
        | hskp11 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c1_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | c3_1(X39)
              | ~ c0_1(X39) ) )
        | hskp12 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c2_1(X40)
              | c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c0_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) )
        | hskp3 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | c2_1(X42)
              | c3_1(X42) ) )
        | hskp13
        | hskp3 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c2_1(X43)
              | c3_1(X43) ) )
        | hskp1 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | c2_1(X44)
              | ~ c0_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c2_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | ~ c1_1(X46)
              | ~ c3_1(X46) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c2_1(X47)
              | ~ c0_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | c2_1(X48)
              | ~ c3_1(X48) ) )
        | hskp14 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c2_1(X49)
              | ~ c0_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | ~ c0_1(X50)
              | ~ c3_1(X50) ) )
        | hskp15 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c2_1(X51)
              | ~ c3_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | ~ c0_1(X52)
              | ~ c1_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | ~ c1_1(X53)
              | ~ c3_1(X53) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c3_1(X54)
              | ~ c0_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | ~ c0_1(X55)
              | ~ c2_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | c3_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | ~ c0_1(X57)
              | ~ c1_1(X57) ) )
        | hskp10 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | ~ c0_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | ~ c0_1(X59)
              | ~ c1_1(X59) ) )
        | hskp16 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | ~ c0_1(X60)
              | ~ c3_1(X60) ) )
        | hskp14
        | hskp10 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | ~ c0_1(X61)
              | ~ c3_1(X61) ) )
        | hskp16
        | hskp8 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp26
        | hskp17 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp18
        | hskp14 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | hskp19
        | hskp5 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) )
        | hskp13 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | hskp6
        | hskp4 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | c3_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) )
        | hskp8 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | c3_1(X69)
              | ~ c0_1(X69) ) )
        | hskp20
        | hskp10 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c3_1(X70)
              | ~ c0_1(X70) ) )
        | hskp12
        | hskp5 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | c3_1(X71)
              | ~ c0_1(X71) ) )
        | hskp1
        | hskp17 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | c3_1(X72)
              | ~ c1_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c1_1(X73)
              | ~ c2_1(X73) ) )
        | hskp5 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | ~ c0_1(X74)
              | ~ c1_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | ~ c1_1(X75)
              | ~ c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | ~ c1_1(X76)
              | ~ c3_1(X76) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | ~ c0_1(X77)
              | ~ c1_1(X77) ) )
        | hskp6
        | hskp3 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | ~ c1_1(X78)
              | ~ c2_1(X78) ) )
        | hskp28
        | hskp18 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c3_1(X79)
              | ~ c1_1(X79)
              | ~ c2_1(X79) ) )
        | hskp12
        | hskp21 )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c2_1(X80)
              | ~ c3_1(X80) ) )
        | hskp26
        | hskp1 )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c2_1(X81)
              | ~ c3_1(X81) ) )
        | hskp9
        | hskp22 )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c2_1(X82)
              | ~ c3_1(X82) ) )
        | hskp12
        | hskp8 )
      & ( hskp23
        | hskp24
        | hskp16 )
      & ( hskp18
        | hskp19
        | hskp13 )
      & ( hskp18
        | hskp25
        | hskp17 )
      & ( hskp9
        | hskp14
        | hskp2 )
      & ( hskp20
        | hskp29
        | hskp0 )
      & ( hskp20
        | hskp3
        | hskp8 )
      & ( hskp14
        | hskp16
        | hskp21 )
      & ( hskp14
        | hskp12
        | hskp11 )
      & ( hskp14
        | hskp1
        | hskp3 )
      & ( hskp29
        | hskp24
        | hskp11 )
      & ( hskp6
        | hskp22
        | hskp17 )
      & ( hskp15
        | hskp22
        | hskp17 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c1_1(a96)
            & ~ c2_1(a96)
            & ~ c3_1(a96) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a97)
            & c3_1(a97)
            & ~ c1_1(a97) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a98)
            & ~ c0_1(a98)
            & ~ c3_1(a98) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c2_1(a99)
            & ~ c1_1(a99)
            & ~ c3_1(a99) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c2_1(a100)
            & ~ c0_1(a100)
            & ~ c1_1(a100) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c3_1(a101)
            & ~ c1_1(a101)
            & ~ c2_1(a101) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a102)
            & c2_1(a102)
            & ~ c3_1(a102) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a103)
            & ~ c1_1(a103)
            & ~ c3_1(a103) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c0_1(a104)
            & ~ c2_1(a104)
            & ~ c3_1(a104) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a105)
            & c2_1(a105)
            & ~ c1_1(a105) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a106)
            & c3_1(a106)
            & ~ c2_1(a106) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a109)
            & ~ c0_1(a109)
            & ~ c3_1(a109) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a110)
            & c3_1(a110)
            & ~ c0_1(a110) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a112)
            & c3_1(a112)
            & ~ c1_1(a112) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a115)
            & ~ c2_1(a115)
            & ~ c3_1(a115) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a116)
            & c3_1(a116)
            & ~ c0_1(a116) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a118)
            & ~ c2_1(a118)
            & ~ c3_1(a118) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a124)
            & ~ c1_1(a124)
            & ~ c3_1(a124) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a125)
            & c1_1(a125)
            & ~ c3_1(a125) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a127)
            & c2_1(a127)
            & ~ c3_1(a127) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a133)
            & c3_1(a133)
            & ~ c2_1(a133) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a145)
            & ~ c0_1(a145)
            & ~ c2_1(a145) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c3_1(a149)
            & ~ c0_1(a149)
            & ~ c1_1(a149) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a152)
            & c1_1(a152)
            & ~ c2_1(a152) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a153)
            & ~ c0_1(a153)
            & ~ c2_1(a153) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a159)
            & ~ c1_1(a159)
            & ~ c2_1(a159) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a94)
            & c1_1(a94)
            & c2_1(a94) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a95)
            & c2_1(a95)
            & c3_1(a95) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a142)
            & c1_1(a142)
            & c3_1(a142) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a165)
            & c2_1(a165)
            & c3_1(a165) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | ~ c1_1(X1)
                | ~ c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c3_1(X2)
                | ~ c2_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | hskp26
          | hskp27 )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c0_1(X5)
                | ~ c1_1(X5) ) )
          | hskp0 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | ~ c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c2_1(X7)
                | ~ c3_1(X7) ) )
          | hskp1 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c3_1(X8) ) )
          | hskp2
          | hskp3 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c3_1(X9) ) )
          | hskp4
          | hskp5 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c2_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c2_1(X11)
                | ~ c1_1(X11) ) )
          | hskp6 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c2_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | ~ c2_1(X13)
                | ~ c3_1(X13) ) )
          | hskp7 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c2_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c2_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | c3_1(X16)
                | ~ c0_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c1_1(X18)
                | ~ c3_1(X18) ) )
          | hskp8 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c3_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c2_1(X20)
                | c3_1(X20)
                | ~ c0_1(X20) ) )
          | hskp9 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c3_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | ~ c0_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | ~ c1_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c3_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | ~ c1_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | ~ c1_1(X26)
                | ~ c3_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c3_1(X27)
                | ~ c2_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | c3_1(X29)
                | ~ c1_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c1_1(X31)
                | c3_1(X31)
                | ~ c2_1(X31) ) )
          | hskp10 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c1_1(X32)
                | ~ c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c2_1(X33)
                | ~ c0_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | ~ c1_1(X34)
                | ~ c2_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | ~ c2_1(X36)
                | ~ c3_1(X36) ) )
          | hskp1 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c1_1(X37)
                | ~ c2_1(X37) ) )
          | hskp26
          | hskp11 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c1_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c3_1(X39)
                | ~ c0_1(X39) ) )
          | hskp12 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) )
          | hskp3 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | c2_1(X42)
                | c3_1(X42) ) )
          | hskp13
          | hskp3 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c2_1(X43)
                | c3_1(X43) ) )
          | hskp1 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c2_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c2_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c1_1(X46)
                | ~ c3_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c2_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp14 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | ~ c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c0_1(X50)
                | ~ c3_1(X50) ) )
          | hskp15 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | ~ c1_1(X53)
                | ~ c3_1(X53) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c3_1(X54)
                | ~ c0_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | ~ c0_1(X55)
                | ~ c2_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | ~ c0_1(X57)
                | ~ c1_1(X57) ) )
          | hskp10 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | ~ c0_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | ~ c0_1(X59)
                | ~ c1_1(X59) ) )
          | hskp16 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | ~ c0_1(X60)
                | ~ c3_1(X60) ) )
          | hskp14
          | hskp10 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | ~ c0_1(X61)
                | ~ c3_1(X61) ) )
          | hskp16
          | hskp8 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp26
          | hskp17 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp18
          | hskp14 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp19
          | hskp5 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) )
          | hskp13 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | hskp6
          | hskp4 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c3_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) )
          | hskp8 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c3_1(X69)
                | ~ c0_1(X69) ) )
          | hskp20
          | hskp10 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c3_1(X70)
                | ~ c0_1(X70) ) )
          | hskp12
          | hskp5 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | c3_1(X71)
                | ~ c0_1(X71) ) )
          | hskp1
          | hskp17 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c3_1(X72)
                | ~ c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c1_1(X73)
                | ~ c2_1(X73) ) )
          | hskp5 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c0_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c1_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) )
          | hskp6
          | hskp3 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c1_1(X78)
                | ~ c2_1(X78) ) )
          | hskp28
          | hskp18 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | ~ c1_1(X79)
                | ~ c2_1(X79) ) )
          | hskp12
          | hskp21 )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | hskp26
          | hskp1 )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c2_1(X81)
                | ~ c3_1(X81) ) )
          | hskp9
          | hskp22 )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c2_1(X82)
                | ~ c3_1(X82) ) )
          | hskp12
          | hskp8 )
        & ( hskp23
          | hskp24
          | hskp16 )
        & ( hskp18
          | hskp19
          | hskp13 )
        & ( hskp18
          | hskp25
          | hskp17 )
        & ( hskp9
          | hskp14
          | hskp2 )
        & ( hskp20
          | hskp29
          | hskp0 )
        & ( hskp20
          | hskp3
          | hskp8 )
        & ( hskp14
          | hskp16
          | hskp21 )
        & ( hskp14
          | hskp12
          | hskp11 )
        & ( hskp14
          | hskp1
          | hskp3 )
        & ( hskp29
          | hskp24
          | hskp11 )
        & ( hskp6
          | hskp22
          | hskp17 )
        & ( hskp15
          | hskp22
          | hskp17 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c1_1(a96)
        & ~ c2_1(a96)
        & ~ c3_1(a96) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a97)
        & c3_1(a97)
        & ~ c1_1(a97) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a98)
        & ~ c0_1(a98)
        & ~ c3_1(a98) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a99)
        & ~ c1_1(a99)
        & ~ c3_1(a99) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a100)
        & ~ c0_1(a100)
        & ~ c1_1(a100) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a101)
        & ~ c1_1(a101)
        & ~ c2_1(a101) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a102)
        & c2_1(a102)
        & ~ c3_1(a102) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a103)
        & ~ c1_1(a103)
        & ~ c3_1(a103) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a104)
        & ~ c2_1(a104)
        & ~ c3_1(a104) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a105)
        & c2_1(a105)
        & ~ c1_1(a105) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a106)
        & c3_1(a106)
        & ~ c2_1(a106) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a109)
        & ~ c0_1(a109)
        & ~ c3_1(a109) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a110)
        & c3_1(a110)
        & ~ c0_1(a110) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a112)
        & c3_1(a112)
        & ~ c1_1(a112) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a115)
        & ~ c2_1(a115)
        & ~ c3_1(a115) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a116)
        & c3_1(a116)
        & ~ c0_1(a116) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a118)
        & ~ c2_1(a118)
        & ~ c3_1(a118) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a124)
        & ~ c1_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a125)
        & c1_1(a125)
        & ~ c3_1(a125) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a127)
        & c2_1(a127)
        & ~ c3_1(a127) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a133)
        & c3_1(a133)
        & ~ c2_1(a133) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a145)
        & ~ c0_1(a145)
        & ~ c2_1(a145) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a149)
        & ~ c0_1(a149)
        & ~ c1_1(a149) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a152)
        & c1_1(a152)
        & ~ c2_1(a152) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a153)
        & ~ c0_1(a153)
        & ~ c2_1(a153) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a159)
        & ~ c1_1(a159)
        & ~ c2_1(a159) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a94)
        & c1_1(a94)
        & c2_1(a94) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a95)
        & c2_1(a95)
        & c3_1(a95) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a142)
        & c1_1(a142)
        & c3_1(a142) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a165)
        & c2_1(a165)
        & c3_1(a165) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | ~ c1_1(X1)
            | ~ c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | c3_1(X2)
            | ~ c2_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | hskp26
      | hskp27 )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | ~ c0_1(X5)
            | ~ c1_1(X5) ) )
      | hskp0 )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | ~ c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c0_1(X7)
            | ~ c2_1(X7)
            | ~ c3_1(X7) ) )
      | hskp1 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | ~ c3_1(X8) ) )
      | hskp2
      | hskp3 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | ~ c3_1(X9) ) )
      | hskp4
      | hskp5 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c2_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c2_1(X11)
            | ~ c1_1(X11) ) )
      | hskp6 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c2_1(X12)
            | ~ c1_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | ~ c2_1(X13)
            | ~ c3_1(X13) ) )
      | hskp7 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c2_1(X14)
            | ~ c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | ~ c2_1(X15)
            | ~ c3_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c1_1(X16)
            | c3_1(X16)
            | ~ c0_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c2_1(X17)
            | ~ c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | ~ c1_1(X18)
            | ~ c3_1(X18) ) )
      | hskp8 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c3_1(X19)
            | ~ c1_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c2_1(X20)
            | c3_1(X20)
            | ~ c0_1(X20) ) )
      | hskp9 )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c3_1(X21)
            | ~ c1_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c2_1(X22)
            | ~ c0_1(X22)
            | ~ c3_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c2_1(X23)
            | ~ c1_1(X23)
            | ~ c3_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c3_1(X24)
            | ~ c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c0_1(X25)
            | ~ c1_1(X25)
            | ~ c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | ~ c1_1(X26)
            | ~ c3_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c3_1(X27)
            | ~ c2_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c1_1(X28)
            | c2_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c2_1(X29)
            | c3_1(X29)
            | ~ c1_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c3_1(X30)
            | ~ c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c1_1(X31)
            | c3_1(X31)
            | ~ c2_1(X31) ) )
      | hskp10 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | ~ c1_1(X32)
            | ~ c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c2_1(X33)
            | ~ c0_1(X33)
            | ~ c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | ~ c1_1(X34)
            | ~ c2_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c1_1(X35)
            | ~ c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | ~ c2_1(X36)
            | ~ c3_1(X36) ) )
      | hskp1 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | ~ c1_1(X37)
            | ~ c2_1(X37) ) )
      | hskp26
      | hskp11 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | ~ c1_1(X38)
            | ~ c3_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | c3_1(X39)
            | ~ c0_1(X39) ) )
      | hskp12 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | c2_1(X40)
            | c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | ~ c2_1(X41)
            | ~ c3_1(X41) ) )
      | hskp3 )
    & ( ! [X42] :
          ( ndr1_0
         => ( c1_1(X42)
            | c2_1(X42)
            | c3_1(X42) ) )
      | hskp13
      | hskp3 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c1_1(X43)
            | c2_1(X43)
            | c3_1(X43) ) )
      | hskp1 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | c2_1(X44)
            | ~ c0_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | c2_1(X45)
            | ~ c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c2_1(X46)
            | ~ c1_1(X46)
            | ~ c3_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | c2_1(X47)
            | ~ c0_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c2_1(X48)
            | ~ c3_1(X48) ) )
      | hskp14 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c2_1(X49)
            | ~ c0_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | ~ c0_1(X50)
            | ~ c3_1(X50) ) )
      | hskp15 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c2_1(X51)
            | ~ c3_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | ~ c0_1(X52)
            | ~ c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c0_1(X53)
            | ~ c1_1(X53)
            | ~ c3_1(X53) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c3_1(X54)
            | ~ c0_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c1_1(X55)
            | ~ c0_1(X55)
            | ~ c2_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | c3_1(X56)
            | ~ c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | ~ c0_1(X57)
            | ~ c1_1(X57) ) )
      | hskp10 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | ~ c0_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | ~ c0_1(X59)
            | ~ c1_1(X59) ) )
      | hskp16 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | ~ c0_1(X60)
            | ~ c3_1(X60) ) )
      | hskp14
      | hskp10 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | ~ c0_1(X61)
            | ~ c3_1(X61) ) )
      | hskp16
      | hskp8 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | ~ c2_1(X62)
            | ~ c3_1(X62) ) )
      | hskp26
      | hskp17 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | ~ c2_1(X63)
            | ~ c3_1(X63) ) )
      | hskp18
      | hskp14 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | ~ c2_1(X64)
            | ~ c3_1(X64) ) )
      | hskp19
      | hskp5 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c2_1(X65)
            | ~ c3_1(X65) ) )
      | hskp13 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | ~ c2_1(X66)
            | ~ c3_1(X66) ) )
      | hskp6
      | hskp4 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c2_1(X67)
            | c3_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | ~ c2_1(X68)
            | ~ c3_1(X68) ) )
      | hskp8 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c2_1(X69)
            | c3_1(X69)
            | ~ c0_1(X69) ) )
      | hskp20
      | hskp10 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c2_1(X70)
            | c3_1(X70)
            | ~ c0_1(X70) ) )
      | hskp12
      | hskp5 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | c3_1(X71)
            | ~ c0_1(X71) ) )
      | hskp1
      | hskp17 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c3_1(X72)
            | ~ c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | ~ c1_1(X73)
            | ~ c2_1(X73) ) )
      | hskp5 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c0_1(X74)
            | ~ c1_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | ~ c1_1(X75)
            | ~ c3_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | ~ c1_1(X76)
            | ~ c3_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) )
      | hskp6
      | hskp3 )
    & ( ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | ~ c1_1(X78)
            | ~ c2_1(X78) ) )
      | hskp28
      | hskp18 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | ~ c1_1(X79)
            | ~ c2_1(X79) ) )
      | hskp12
      | hskp21 )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | ~ c2_1(X80)
            | ~ c3_1(X80) ) )
      | hskp26
      | hskp1 )
    & ( ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | ~ c2_1(X81)
            | ~ c3_1(X81) ) )
      | hskp9
      | hskp22 )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | ~ c2_1(X82)
            | ~ c3_1(X82) ) )
      | hskp12
      | hskp8 )
    & ( hskp23
      | hskp24
      | hskp16 )
    & ( hskp18
      | hskp19
      | hskp13 )
    & ( hskp18
      | hskp25
      | hskp17 )
    & ( hskp9
      | hskp14
      | hskp2 )
    & ( hskp20
      | hskp29
      | hskp0 )
    & ( hskp20
      | hskp3
      | hskp8 )
    & ( hskp14
      | hskp16
      | hskp21 )
    & ( hskp14
      | hskp12
      | hskp11 )
    & ( hskp14
      | hskp1
      | hskp3 )
    & ( hskp29
      | hskp24
      | hskp11 )
    & ( hskp6
      | hskp22
      | hskp17 )
    & ( hskp15
      | hskp22
      | hskp17 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c1_1(a96)
        & ~ c2_1(a96)
        & ~ c3_1(a96) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a97)
        & c3_1(a97)
        & ~ c1_1(a97) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a98)
        & ~ c0_1(a98)
        & ~ c3_1(a98) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a99)
        & ~ c1_1(a99)
        & ~ c3_1(a99) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a100)
        & ~ c0_1(a100)
        & ~ c1_1(a100) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a101)
        & ~ c1_1(a101)
        & ~ c2_1(a101) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a102)
        & c2_1(a102)
        & ~ c3_1(a102) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a103)
        & ~ c1_1(a103)
        & ~ c3_1(a103) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a104)
        & ~ c2_1(a104)
        & ~ c3_1(a104) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a105)
        & c2_1(a105)
        & ~ c1_1(a105) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a106)
        & c3_1(a106)
        & ~ c2_1(a106) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a109)
        & ~ c0_1(a109)
        & ~ c3_1(a109) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a110)
        & c3_1(a110)
        & ~ c0_1(a110) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a112)
        & c3_1(a112)
        & ~ c1_1(a112) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a115)
        & ~ c2_1(a115)
        & ~ c3_1(a115) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a116)
        & c3_1(a116)
        & ~ c0_1(a116) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a118)
        & ~ c2_1(a118)
        & ~ c3_1(a118) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a124)
        & ~ c1_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a125)
        & c1_1(a125)
        & ~ c3_1(a125) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a127)
        & c2_1(a127)
        & ~ c3_1(a127) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a133)
        & c3_1(a133)
        & ~ c2_1(a133) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a145)
        & ~ c0_1(a145)
        & ~ c2_1(a145) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a149)
        & ~ c0_1(a149)
        & ~ c1_1(a149) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a152)
        & c1_1(a152)
        & ~ c2_1(a152) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a153)
        & ~ c0_1(a153)
        & ~ c2_1(a153) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a159)
        & ~ c1_1(a159)
        & ~ c2_1(a159) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a94)
        & c1_1(a94)
        & c2_1(a94) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a95)
        & c2_1(a95)
        & c3_1(a95) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a142)
        & c1_1(a142)
        & c3_1(a142) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a165)
        & c2_1(a165)
        & c3_1(a165) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | ~ c1_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | c3_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | hskp26
      | hskp27 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | ~ c0_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c2_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c0_1(X11)
          | c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c2_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c1_1(X16)
          | c3_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | ~ c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c3_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | c3_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c3_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c2_1(X22)
          | ~ c0_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c2_1(X23)
          | ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | ~ c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c3_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c3_1(X31)
          | ~ c2_1(X31)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c0_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X37] :
          ( c0_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp26
      | hskp11 )
    & ( ! [X38] :
          ( c0_1(X38)
          | ~ c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c3_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X42] :
          ( c1_1(X42)
          | c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | hskp13
      | hskp3 )
    & ( ! [X43] :
          ( c1_1(X43)
          | c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X44] :
          ( c1_1(X44)
          | c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | ~ c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | ~ c0_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X51] :
          ( c1_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c0_1(X53)
          | ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c1_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c1_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | ~ c0_1(X57)
          | ~ c1_1(X57)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X60] :
          ( c1_1(X60)
          | ~ c0_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp14
      | hskp10 )
    & ( ! [X61] :
          ( c1_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp16
      | hskp8 )
    & ( ! [X62] :
          ( c1_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp26
      | hskp17 )
    & ( ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp18
      | hskp14 )
    & ( ! [X64] :
          ( c1_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp19
      | hskp5 )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp6
      | hskp4 )
    & ( ! [X67] :
          ( c2_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X69] :
          ( c2_1(X69)
          | c3_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp20
      | hskp10 )
    & ( ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp12
      | hskp5 )
    & ( ! [X71] :
          ( c2_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp1
      | hskp17 )
    & ( ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X74] :
          ( c2_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | ~ c1_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c2_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp6
      | hskp3 )
    & ( ! [X78] :
          ( c3_1(X78)
          | ~ c1_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp28
      | hskp18 )
    & ( ! [X79] :
          ( c3_1(X79)
          | ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp12
      | hskp21 )
    & ( ! [X80] :
          ( ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp26
      | hskp1 )
    & ( ! [X81] :
          ( ~ c1_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp9
      | hskp22 )
    & ( ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( hskp23
      | hskp24
      | hskp16 )
    & ( hskp18
      | hskp19
      | hskp13 )
    & ( hskp18
      | hskp25
      | hskp17 )
    & ( hskp9
      | hskp14
      | hskp2 )
    & ( hskp20
      | hskp29
      | hskp0 )
    & ( hskp20
      | hskp3
      | hskp8 )
    & ( hskp14
      | hskp16
      | hskp21 )
    & ( hskp14
      | hskp12
      | hskp11 )
    & ( hskp14
      | hskp1
      | hskp3 )
    & ( hskp29
      | hskp24
      | hskp11 )
    & ( hskp6
      | hskp22
      | hskp17 )
    & ( hskp15
      | hskp22
      | hskp17 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c1_1(a96)
        & ~ c2_1(a96)
        & ~ c3_1(a96) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a97)
        & c3_1(a97)
        & ~ c1_1(a97) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a98)
        & ~ c0_1(a98)
        & ~ c3_1(a98) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c2_1(a99)
        & ~ c1_1(a99)
        & ~ c3_1(a99) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a100)
        & ~ c0_1(a100)
        & ~ c1_1(a100) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c3_1(a101)
        & ~ c1_1(a101)
        & ~ c2_1(a101) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a102)
        & c2_1(a102)
        & ~ c3_1(a102) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a103)
        & ~ c1_1(a103)
        & ~ c3_1(a103) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c0_1(a104)
        & ~ c2_1(a104)
        & ~ c3_1(a104) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a105)
        & c2_1(a105)
        & ~ c1_1(a105) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a106)
        & c3_1(a106)
        & ~ c2_1(a106) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a109)
        & ~ c0_1(a109)
        & ~ c3_1(a109) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a110)
        & c3_1(a110)
        & ~ c0_1(a110) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a112)
        & c3_1(a112)
        & ~ c1_1(a112) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a115)
        & ~ c2_1(a115)
        & ~ c3_1(a115) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a116)
        & c3_1(a116)
        & ~ c0_1(a116) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a118)
        & ~ c2_1(a118)
        & ~ c3_1(a118) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a124)
        & ~ c1_1(a124)
        & ~ c3_1(a124) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a125)
        & c1_1(a125)
        & ~ c3_1(a125) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a127)
        & c2_1(a127)
        & ~ c3_1(a127) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a133)
        & c3_1(a133)
        & ~ c2_1(a133) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a145)
        & ~ c0_1(a145)
        & ~ c2_1(a145) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c3_1(a149)
        & ~ c0_1(a149)
        & ~ c1_1(a149) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a152)
        & c1_1(a152)
        & ~ c2_1(a152) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a153)
        & ~ c0_1(a153)
        & ~ c2_1(a153) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a159)
        & ~ c1_1(a159)
        & ~ c2_1(a159) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a94)
        & c1_1(a94)
        & c2_1(a94) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a95)
        & c2_1(a95)
        & c3_1(a95) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a142)
        & c1_1(a142)
        & c3_1(a142) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a165)
        & c2_1(a165)
        & c3_1(a165) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | ~ c1_1(X1)
          | ~ c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c1_1(X2)
          | c3_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | hskp26
      | hskp27 )
    & ( ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c2_1(X5)
          | ~ c0_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c0_1(X7)
          | ~ c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | hskp4
      | hskp5 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c2_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c0_1(X11)
          | c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c2_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c0_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c2_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c0_1(X15)
          | ~ c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c1_1(X16)
          | c3_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c2_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | ~ c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c3_1(X19)
          | ~ c1_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c2_1(X20)
          | c3_1(X20)
          | ~ c0_1(X20)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X21] :
          ( c0_1(X21)
          | c3_1(X21)
          | ~ c1_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c2_1(X22)
          | ~ c0_1(X22)
          | ~ c3_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c2_1(X23)
          | ~ c1_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c3_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c0_1(X25)
          | ~ c1_1(X25)
          | ~ c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c0_1(X26)
          | ~ c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c3_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c1_1(X28)
          | c2_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c2_1(X29)
          | c3_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c1_1(X31)
          | c3_1(X31)
          | ~ c2_1(X31)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X32] :
          ( c0_1(X32)
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c2_1(X33)
          | ~ c0_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X37] :
          ( c0_1(X37)
          | ~ c1_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp26
      | hskp11 )
    & ( ! [X38] :
          ( c0_1(X38)
          | ~ c1_1(X38)
          | ~ c3_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c3_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X40] :
          ( c1_1(X40)
          | c2_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X42] :
          ( c1_1(X42)
          | c2_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | hskp13
      | hskp3 )
    & ( ! [X43] :
          ( c1_1(X43)
          | c2_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X44] :
          ( c1_1(X44)
          | c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c2_1(X46)
          | ~ c1_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | ~ c0_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X49] :
          ( c1_1(X49)
          | c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | ~ c0_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X51] :
          ( c1_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c2_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c0_1(X53)
          | ~ c1_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( c1_1(X54)
          | c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c1_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c1_1(X56)
          | c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | ~ c0_1(X57)
          | ~ c1_1(X57)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X58] :
          ( c1_1(X58)
          | ~ c0_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X60] :
          ( c1_1(X60)
          | ~ c0_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp14
      | hskp10 )
    & ( ! [X61] :
          ( c1_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61)
          | ~ ndr1_0 )
      | hskp16
      | hskp8 )
    & ( ! [X62] :
          ( c1_1(X62)
          | ~ c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp26
      | hskp17 )
    & ( ! [X63] :
          ( c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63)
          | ~ ndr1_0 )
      | hskp18
      | hskp14 )
    & ( ! [X64] :
          ( c1_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0 )
      | hskp19
      | hskp5 )
    & ( ! [X65] :
          ( c1_1(X65)
          | ~ c2_1(X65)
          | ~ c3_1(X65)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | hskp6
      | hskp4 )
    & ( ! [X67] :
          ( c2_1(X67)
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X69] :
          ( c2_1(X69)
          | c3_1(X69)
          | ~ c0_1(X69)
          | ~ ndr1_0 )
      | hskp20
      | hskp10 )
    & ( ! [X70] :
          ( c2_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70)
          | ~ ndr1_0 )
      | hskp12
      | hskp5 )
    & ( ! [X71] :
          ( c2_1(X71)
          | c3_1(X71)
          | ~ c0_1(X71)
          | ~ ndr1_0 )
      | hskp1
      | hskp17 )
    & ( ! [X72] :
          ( c2_1(X72)
          | c3_1(X72)
          | ~ c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X74] :
          ( c2_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | ~ c1_1(X75)
          | ~ c3_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c2_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp6
      | hskp3 )
    & ( ! [X78] :
          ( c3_1(X78)
          | ~ c1_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp28
      | hskp18 )
    & ( ! [X79] :
          ( c3_1(X79)
          | ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | hskp12
      | hskp21 )
    & ( ! [X80] :
          ( ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | hskp26
      | hskp1 )
    & ( ! [X81] :
          ( ~ c1_1(X81)
          | ~ c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0 )
      | hskp9
      | hskp22 )
    & ( ! [X82] :
          ( ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | hskp12
      | hskp8 )
    & ( hskp23
      | hskp24
      | hskp16 )
    & ( hskp18
      | hskp19
      | hskp13 )
    & ( hskp18
      | hskp25
      | hskp17 )
    & ( hskp9
      | hskp14
      | hskp2 )
    & ( hskp20
      | hskp29
      | hskp0 )
    & ( hskp20
      | hskp3
      | hskp8 )
    & ( hskp14
      | hskp16
      | hskp21 )
    & ( hskp14
      | hskp12
      | hskp11 )
    & ( hskp14
      | hskp1
      | hskp3 )
    & ( hskp29
      | hskp24
      | hskp11 )
    & ( hskp6
      | hskp22
      | hskp17 )
    & ( hskp15
      | hskp22
      | hskp17 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ! [X2,X0,X1] :
      ( ~ c2_1(X2)
      | c3_1(X2)
      | c1_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ! [X3] :
      ( hskp27
      | hskp26
      | ~ ndr1_0
      | c2_1(X3)
      | c1_1(X3)
      | c0_1(X3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ! [X4,X5] :
      ( hskp0
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c2_1(X5)
      | ~ ndr1_0
      | c3_1(X4)
      | c1_1(X4)
      | c0_1(X4) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ! [X8] :
      ( hskp3
      | hskp2
      | ~ ndr1_0
      | ~ c3_1(X8)
      | c1_1(X8)
      | c0_1(X8) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X10,X11] :
      ( hskp6
      | ~ c1_1(X11)
      | c2_1(X11)
      | c0_1(X11)
      | ~ ndr1_0
      | c3_1(X10)
      | c2_1(X10)
      | c0_1(X10) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X12,X13] :
      ( hskp7
      | ~ c3_1(X13)
      | ~ c2_1(X13)
      | c0_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X12)
      | c2_1(X12)
      | c0_1(X12) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X16,X14,X15] :
      ( ~ c0_1(X16)
      | c3_1(X16)
      | c1_1(X16)
      | ~ c3_1(X15)
      | ~ c2_1(X15)
      | c0_1(X15)
      | ~ ndr1_0
      | ~ c3_1(X14)
      | c2_1(X14)
      | c0_1(X14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X18,X17] :
      ( hskp8
      | ~ c3_1(X18)
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | ~ ndr1_0
      | ~ c3_1(X17)
      | c2_1(X17)
      | c0_1(X17) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X21,X22,X23] :
      ( ~ c3_1(X23)
      | ~ c1_1(X23)
      | c2_1(X23)
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | ~ c1_1(X21)
      | c3_1(X21)
      | c0_1(X21) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X26)
      | ~ c1_1(X26)
      | c0_1(X26)
      | ~ c2_1(X25)
      | ~ c1_1(X25)
      | c0_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | c3_1(X24)
      | c0_1(X24) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X31,X30] :
      ( hskp10
      | ~ c2_1(X31)
      | c3_1(X31)
      | c1_1(X31)
      | ~ ndr1_0
      | ~ c2_1(X30)
      | c3_1(X30)
      | c0_1(X30) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X34,X32,X33] :
      ( ~ c2_1(X34)
      | ~ c1_1(X34)
      | ~ c0_1(X34)
      | ~ c3_1(X33)
      | ~ c0_1(X33)
      | c2_1(X33)
      | ~ ndr1_0
      | ~ c2_1(X32)
      | ~ c1_1(X32)
      | c0_1(X32) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X36,X35] :
      ( hskp1
      | ~ c3_1(X36)
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | ~ ndr1_0
      | ~ c2_1(X35)
      | ~ c1_1(X35)
      | c0_1(X35) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X37] :
      ( hskp11
      | hskp26
      | ~ ndr1_0
      | ~ c2_1(X37)
      | ~ c1_1(X37)
      | c0_1(X37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X38,X39] :
      ( hskp12
      | ~ c0_1(X39)
      | c3_1(X39)
      | c1_1(X39)
      | ~ ndr1_0
      | ~ c3_1(X38)
      | ~ c1_1(X38)
      | c0_1(X38) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X40,X41] :
      ( hskp3
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | c3_1(X40)
      | c2_1(X40)
      | c1_1(X40) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X42] :
      ( hskp3
      | hskp13
      | ~ ndr1_0
      | c3_1(X42)
      | c2_1(X42)
      | c1_1(X42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X43] :
      ( hskp1
      | ~ ndr1_0
      | c3_1(X43)
      | c2_1(X43)
      | c1_1(X43) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X46,X44,X45] :
      ( ~ c3_1(X46)
      | ~ c1_1(X46)
      | c2_1(X46)
      | ~ c3_1(X45)
      | c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X44)
      | c2_1(X44)
      | c1_1(X44) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X50,X49] :
      ( hskp15
      | ~ c3_1(X50)
      | ~ c0_1(X50)
      | c2_1(X50)
      | ~ ndr1_0
      | ~ c0_1(X49)
      | c2_1(X49)
      | c1_1(X49) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X51,X52,X53] :
      ( ~ c3_1(X53)
      | ~ c1_1(X53)
      | ~ c0_1(X53)
      | ~ c1_1(X52)
      | ~ c0_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | c2_1(X51)
      | c1_1(X51) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X54,X55] :
      ( ~ c2_1(X55)
      | ~ c0_1(X55)
      | c1_1(X55)
      | ~ ndr1_0
      | ~ c0_1(X54)
      | c3_1(X54)
      | c1_1(X54) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X56,X57] :
      ( hskp10
      | ~ c1_1(X57)
      | ~ c0_1(X57)
      | c3_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | c3_1(X56)
      | c1_1(X56) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X60] :
      ( hskp10
      | hskp14
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X61] :
      ( hskp8
      | hskp16
      | ~ ndr1_0
      | ~ c3_1(X61)
      | ~ c0_1(X61)
      | c1_1(X61) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X62] :
      ( hskp17
      | hskp26
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c2_1(X62)
      | c1_1(X62) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X65] :
      ( hskp13
      | ~ ndr1_0
      | ~ c3_1(X65)
      | ~ c2_1(X65)
      | c1_1(X65) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X68,X67] :
      ( hskp8
      | ~ c3_1(X68)
      | ~ c2_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | ~ c0_1(X67)
      | c3_1(X67)
      | c2_1(X67) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X69] :
      ( hskp10
      | hskp20
      | ~ ndr1_0
      | ~ c0_1(X69)
      | c3_1(X69)
      | c2_1(X69) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X70] :
      ( hskp5
      | hskp12
      | ~ ndr1_0
      | ~ c0_1(X70)
      | c3_1(X70)
      | c2_1(X70) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X71] :
      ( hskp17
      | hskp1
      | ~ ndr1_0
      | ~ c0_1(X71)
      | c3_1(X71)
      | c2_1(X71) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X72,X73] :
      ( hskp5
      | ~ c2_1(X73)
      | ~ c1_1(X73)
      | c3_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X72)
      | c3_1(X72)
      | c2_1(X72) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X76,X74,X75] :
      ( ~ c3_1(X76)
      | ~ c1_1(X76)
      | ~ c0_1(X76)
      | ~ c3_1(X75)
      | ~ c1_1(X75)
      | c2_1(X75)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | ~ c0_1(X74)
      | c2_1(X74) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ( ~ c3_1(a96)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ( ~ c2_1(a96)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ( ~ c1_1(a96)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ( ~ c1_1(a97)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ( c3_1(a97)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ( c2_1(a97)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ( ~ c3_1(a98)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ( ~ c0_1(a98)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ( c1_1(a98)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ c3_1(a99)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ c1_1(a99)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( c2_1(a99)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ c2_1(a101)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ c1_1(a101)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( c3_1(a101)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ c3_1(a102)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( c2_1(a102)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c1_1(a102)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ c3_1(a103)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ c1_1(a103)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( c0_1(a103)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ c3_1(a104)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ c2_1(a104)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ c0_1(a104)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ c1_1(a105)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c0_1(a105)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c2_1(a106)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c3_1(a106)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c1_1(a106)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c3_1(a109)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ c0_1(a109)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c2_1(a109)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c0_1(a110)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( c3_1(a110)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c2_1(a110)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c1_1(a112)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( c3_1(a112)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c0_1(a112)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c3_1(a115)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ c2_1(a115)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c0_1(a115)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c0_1(a116)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( c3_1(a116)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c1_1(a116)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c3_1(a118)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c2_1(a118)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c1_1(a118)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c3_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ c1_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c3_1(a125)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c0_1(a125)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c3_1(a127)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c0_1(a127)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c2_1(a133)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( c3_1(a133)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c0_1(a133)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a145)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c3_1(a145)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( c2_1(a94)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c1_1(a94)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c0_1(a94)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( c3_1(a95)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c2_1(a95)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c0_1(a95)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( c3_1(a165)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( c2_1(a165)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c1_1(a165)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( hskp13
    | hskp19
    | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( hskp2
    | hskp14
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( hskp0
    | hskp29
    | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( hskp8
    | hskp3
    | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( hskp21
    | hskp16
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( hskp11
    | hskp12
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( hskp3
    | hskp1
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( hskp3
    | ~ hskp1
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f190,plain,
    ( hskp11
    | ~ hskp12
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f181]) ).

fof(f191,plain,
    ( hskp21
    | ~ hskp16
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f192,plain,
    ( ~ hskp8
    | hskp3
    | hskp20 ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f193,plain,
    ( hskp2
    | hskp14
    | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f177]) ).

fof(f195,plain,
    ( hskp13
    | ~ hskp19
    | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f175]) ).

fof(f197,plain,
    ( ~ ndr1_0
    | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f198,plain,
    ( ~ c2_1(a165)
    | ~ hskp29 ),
    inference(consistent_polarity_flipping,[],[f171]) ).

fof(f201,plain,
    ( ~ c2_1(a95)
    | ~ hskp27 ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f203,plain,
    ( c0_1(a94)
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f204,plain,
    ( c1_1(a94)
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f205,plain,
    ( ~ c2_1(a94)
    | hskp26 ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f220,plain,
    ( c2_1(a145)
    | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f221,plain,
    ( ~ ndr1_0
    | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f222,plain,
    ( c2_1(a133)
    | ~ hskp20 ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f224,plain,
    ( c0_1(a127)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f226,plain,
    ( ~ c3_1(a127)
    | hskp19 ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f228,plain,
    ( c0_1(a125)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f230,plain,
    ( ~ c3_1(a125)
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f233,plain,
    ( c1_1(a118)
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f234,plain,
    ( c2_1(a118)
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f235,plain,
    ( ~ c3_1(a118)
    | hskp16 ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f237,plain,
    ( c1_1(a116)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f238,plain,
    ( c3_1(a116)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f239,plain,
    ( ~ c0_1(a116)
    | hskp15 ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f241,plain,
    ( c2_1(a115)
    | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f244,plain,
    ( ~ c2_1(a110)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f245,plain,
    ( c3_1(a110)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f246,plain,
    ( ~ c0_1(a110)
    | hskp12 ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f248,plain,
    ( ~ c2_1(a109)
    | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f250,plain,
    ( c1_1(a106)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f251,plain,
    ( c3_1(a106)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f252,plain,
    ( c2_1(a106)
    | hskp10 ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f254,plain,
    ( c0_1(a105)
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f256,plain,
    ( ~ c1_1(a105)
    | hskp9 ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f258,plain,
    ( ~ c0_1(a104)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f259,plain,
    ( c2_1(a104)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f260,plain,
    ( ~ c3_1(a104)
    | hskp8 ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f263,plain,
    ( c1_1(a102)
    | hskp6 ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f264,plain,
    ( ~ c2_1(a102)
    | hskp6 ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f265,plain,
    ( ~ c3_1(a102)
    | hskp6 ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f267,plain,
    ( c3_1(a101)
    | hskp5 ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f268,plain,
    ( ~ c1_1(a101)
    | hskp5 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f269,plain,
    ( c2_1(a101)
    | hskp5 ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f275,plain,
    ( ~ c2_1(a99)
    | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f278,plain,
    ( ~ c2_1(a97)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f279,plain,
    ( c3_1(a97)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f280,plain,
    ( ~ c1_1(a97)
    | hskp1 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f281,plain,
    ( ~ ndr1_0
    | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f282,plain,
    ( c2_1(a96)
    | ~ hskp0 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f289,plain,
    ! [X76,X74,X75] :
      ( ~ c3_1(X76)
      | ~ c1_1(X76)
      | ~ c0_1(X76)
      | ~ c3_1(X75)
      | ~ c1_1(X75)
      | ~ c2_1(X75)
      | ndr1_0
      | ~ c1_1(X74)
      | ~ c0_1(X74)
      | ~ c2_1(X74) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f290,plain,
    ! [X72,X73] :
      ( ~ hskp5
      | c2_1(X73)
      | ~ c1_1(X73)
      | c3_1(X73)
      | ndr1_0
      | ~ c1_1(X72)
      | c3_1(X72)
      | ~ c2_1(X72) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f291,plain,
    ! [X71] :
      ( hskp17
      | ~ hskp1
      | ndr1_0
      | ~ c0_1(X71)
      | c3_1(X71)
      | ~ c2_1(X71) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f292,plain,
    ! [X70] :
      ( ~ hskp5
      | ~ hskp12
      | ndr1_0
      | ~ c0_1(X70)
      | c3_1(X70)
      | ~ c2_1(X70) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f293,plain,
    ! [X69] :
      ( ~ hskp10
      | hskp20
      | ndr1_0
      | ~ c0_1(X69)
      | c3_1(X69)
      | ~ c2_1(X69) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f294,plain,
    ! [X68,X67] :
      ( ~ hskp8
      | ~ c3_1(X68)
      | c2_1(X68)
      | ~ c0_1(X68)
      | ndr1_0
      | ~ c0_1(X67)
      | c3_1(X67)
      | ~ c2_1(X67) ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f296,plain,
    ! [X65] :
      ( hskp13
      | ndr1_0
      | ~ c3_1(X65)
      | c2_1(X65)
      | c1_1(X65) ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f299,plain,
    ! [X62] :
      ( hskp17
      | ~ hskp26
      | ndr1_0
      | ~ c3_1(X62)
      | c2_1(X62)
      | c1_1(X62) ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f300,plain,
    ! [X61] :
      ( ~ hskp8
      | ~ hskp16
      | ndr1_0
      | ~ c3_1(X61)
      | ~ c0_1(X61)
      | c1_1(X61) ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f301,plain,
    ! [X60] :
      ( ~ hskp10
      | hskp14
      | ndr1_0
      | ~ c3_1(X60)
      | ~ c0_1(X60)
      | c1_1(X60) ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f303,plain,
    ! [X56,X57] :
      ( ~ hskp10
      | ~ c1_1(X57)
      | ~ c0_1(X57)
      | c3_1(X57)
      | ndr1_0
      | c2_1(X56)
      | c3_1(X56)
      | c1_1(X56) ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f304,plain,
    ! [X54,X55] :
      ( c2_1(X55)
      | ~ c0_1(X55)
      | c1_1(X55)
      | ndr1_0
      | ~ c0_1(X54)
      | c3_1(X54)
      | c1_1(X54) ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f305,plain,
    ! [X51,X52,X53] :
      ( ~ c3_1(X53)
      | ~ c1_1(X53)
      | ~ c0_1(X53)
      | ~ c1_1(X52)
      | ~ c0_1(X52)
      | ~ c2_1(X52)
      | ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c1_1(X51) ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f306,plain,
    ! [X50,X49] :
      ( ~ hskp15
      | ~ c3_1(X50)
      | ~ c0_1(X50)
      | ~ c2_1(X50)
      | ndr1_0
      | ~ c0_1(X49)
      | ~ c2_1(X49)
      | c1_1(X49) ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f308,plain,
    ! [X46,X44,X45] :
      ( ~ c3_1(X46)
      | ~ c1_1(X46)
      | ~ c2_1(X46)
      | ~ c3_1(X45)
      | ~ c2_1(X45)
      | c1_1(X45)
      | ndr1_0
      | ~ c0_1(X44)
      | ~ c2_1(X44)
      | c1_1(X44) ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f309,plain,
    ! [X43] :
      ( ~ hskp1
      | ndr1_0
      | c3_1(X43)
      | ~ c2_1(X43)
      | c1_1(X43) ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f310,plain,
    ! [X42] :
      ( hskp3
      | hskp13
      | ndr1_0
      | c3_1(X42)
      | ~ c2_1(X42)
      | c1_1(X42) ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f311,plain,
    ! [X40,X41] :
      ( hskp3
      | ~ c3_1(X41)
      | c2_1(X41)
      | ~ c0_1(X41)
      | ndr1_0
      | c3_1(X40)
      | ~ c2_1(X40)
      | c1_1(X40) ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f312,plain,
    ! [X38,X39] :
      ( ~ hskp12
      | ~ c0_1(X39)
      | c3_1(X39)
      | c1_1(X39)
      | ndr1_0
      | ~ c3_1(X38)
      | ~ c1_1(X38)
      | c0_1(X38) ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f313,plain,
    ! [X37] :
      ( hskp11
      | ~ hskp26
      | ndr1_0
      | c2_1(X37)
      | ~ c1_1(X37)
      | c0_1(X37) ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f314,plain,
    ! [X36,X35] :
      ( ~ hskp1
      | ~ c3_1(X36)
      | c2_1(X36)
      | ~ c0_1(X36)
      | ndr1_0
      | c2_1(X35)
      | ~ c1_1(X35)
      | c0_1(X35) ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f315,plain,
    ! [X34,X32,X33] :
      ( c2_1(X34)
      | ~ c1_1(X34)
      | ~ c0_1(X34)
      | ~ c3_1(X33)
      | ~ c0_1(X33)
      | ~ c2_1(X33)
      | ndr1_0
      | c2_1(X32)
      | ~ c1_1(X32)
      | c0_1(X32) ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f316,plain,
    ! [X31,X30] :
      ( ~ hskp10
      | c2_1(X31)
      | c3_1(X31)
      | c1_1(X31)
      | ndr1_0
      | c2_1(X30)
      | c3_1(X30)
      | c0_1(X30) ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f318,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X26)
      | ~ c1_1(X26)
      | c0_1(X26)
      | c2_1(X25)
      | ~ c1_1(X25)
      | c0_1(X25)
      | ndr1_0
      | c2_1(X24)
      | c3_1(X24)
      | c0_1(X24) ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f319,plain,
    ! [X21,X22,X23] :
      ( ~ c3_1(X23)
      | ~ c1_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | ~ c2_1(X22)
      | ndr1_0
      | ~ c1_1(X21)
      | c3_1(X21)
      | c0_1(X21) ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f321,plain,
    ! [X18,X17] :
      ( ~ hskp8
      | ~ c3_1(X18)
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | ndr1_0
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c0_1(X17) ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f322,plain,
    ! [X16,X14,X15] :
      ( ~ c0_1(X16)
      | c3_1(X16)
      | c1_1(X16)
      | ~ c3_1(X15)
      | c2_1(X15)
      | c0_1(X15)
      | ndr1_0
      | ~ c3_1(X14)
      | ~ c2_1(X14)
      | c0_1(X14) ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f323,plain,
    ! [X12,X13] :
      ( hskp7
      | ~ c3_1(X13)
      | c2_1(X13)
      | c0_1(X13)
      | ndr1_0
      | ~ c1_1(X12)
      | ~ c2_1(X12)
      | c0_1(X12) ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f324,plain,
    ! [X10,X11] :
      ( ~ hskp6
      | ~ c1_1(X11)
      | ~ c2_1(X11)
      | c0_1(X11)
      | ndr1_0
      | c3_1(X10)
      | ~ c2_1(X10)
      | c0_1(X10) ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f326,plain,
    ! [X8] :
      ( hskp3
      | hskp2
      | ndr1_0
      | ~ c3_1(X8)
      | c1_1(X8)
      | c0_1(X8) ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f328,plain,
    ! [X4,X5] :
      ( hskp0
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | ~ c2_1(X5)
      | ndr1_0
      | c3_1(X4)
      | c1_1(X4)
      | c0_1(X4) ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f329,plain,
    ! [X3] :
      ( hskp27
      | ~ hskp26
      | ndr1_0
      | ~ c2_1(X3)
      | c1_1(X3)
      | c0_1(X3) ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f330,plain,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c3_1(X2)
      | c1_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | c0_1(X1)
      | ndr1_0
      | ~ c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f332,definition,
    ( spl0_1
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f333,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f335,definition,
    ( spl0_2
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f339,definition,
    ( spl0_3
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f340,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f342,definition,
    ( spl0_4
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f343,plain,
    ( ! [X2] :
        ( c1_1(X2)
        | c2_1(X2)
        | c3_1(X2) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f344,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f330,f342,f339,f335,f332]) ).

fof(f346,definition,
    ( spl0_5
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f350,definition,
    ( spl0_6
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f353,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f329,f350,f346,f335,f332]) ).

fof(f355,definition,
    ( spl0_7
  <=> ! [X4] :
        ( c3_1(X4)
        | c0_1(X4)
        | c1_1(X4) ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f356,plain,
    ( ! [X4] :
        ( c0_1(X4)
        | c3_1(X4)
        | c1_1(X4) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f358,definition,
    ( spl0_8
  <=> ! [X5] :
        ( ~ c1_1(X5)
        | ~ c2_1(X5)
        | ~ c0_1(X5) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f359,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | ~ c2_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f361,definition,
    ( spl0_9
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f364,plain,
    ( spl0_7
    | spl0_2
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f328,f361,f358,f335,f355]) ).

fof(f369,definition,
    ( spl0_11
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | ~ c0_1(X7)
        | c2_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f370,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | ~ c3_1(X7)
        | c2_1(X7) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f372,definition,
    ( spl0_12
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f377,definition,
    ( spl0_13
  <=> ! [X8] :
        ( ~ c3_1(X8)
        | c0_1(X8)
        | c1_1(X8) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f378,plain,
    ( ! [X8] :
        ( c0_1(X8)
        | ~ c3_1(X8)
        | c1_1(X8) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f380,definition,
    ( spl0_14
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f384,definition,
    ( spl0_15
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f387,plain,
    ( spl0_13
    | spl0_2
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f326,f384,f380,f335,f377]) ).

fof(f393,definition,
    ( spl0_17
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f398,definition,
    ( spl0_18
  <=> ! [X10] :
        ( c3_1(X10)
        | c0_1(X10)
        | ~ c2_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f399,plain,
    ( ! [X10] :
        ( ~ c2_1(X10)
        | c0_1(X10)
        | c3_1(X10) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f401,definition,
    ( spl0_19
  <=> ! [X11] :
        ( ~ c1_1(X11)
        | c0_1(X11)
        | ~ c2_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X11] :
        ( ~ c2_1(X11)
        | c0_1(X11)
        | ~ c1_1(X11) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f404,definition,
    ( spl0_20
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f407,plain,
    ( spl0_18
    | spl0_2
    | spl0_19
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f324,f404,f401,f335,f398]) ).

fof(f409,definition,
    ( spl0_21
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | c0_1(X13)
        | c2_1(X13) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f410,plain,
    ( ! [X13] :
        ( ~ c3_1(X13)
        | c0_1(X13)
        | c2_1(X13) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f412,definition,
    ( spl0_22
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f415,plain,
    ( spl0_19
    | spl0_2
    | spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f323,f412,f409,f335,f401]) ).

fof(f417,definition,
    ( spl0_23
  <=> ! [X14] :
        ( ~ c3_1(X14)
        | c0_1(X14)
        | ~ c2_1(X14) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f418,plain,
    ( ! [X14] :
        ( ~ c3_1(X14)
        | c0_1(X14)
        | ~ c2_1(X14) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f420,definition,
    ( spl0_24
  <=> ! [X16] :
        ( ~ c0_1(X16)
        | c1_1(X16)
        | c3_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f421,plain,
    ( ! [X16] :
        ( ~ c0_1(X16)
        | c1_1(X16)
        | c3_1(X16) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f422,plain,
    ( spl0_23
    | spl0_2
    | spl0_21
    | spl0_24 ),
    inference(avatar_split_clause,[],[f322,f420,f409,f335,f417]) ).

fof(f424,definition,
    ( spl0_25
  <=> ! [X18] :
        ( ~ c3_1(X18)
        | ~ c0_1(X18)
        | ~ c1_1(X18) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f425,plain,
    ( ! [X18] :
        ( ~ c3_1(X18)
        | ~ c0_1(X18)
        | ~ c1_1(X18) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f427,definition,
    ( spl0_26
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f430,plain,
    ( spl0_23
    | spl0_2
    | spl0_25
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f321,f427,f424,f335,f417]) ).

fof(f432,definition,
    ( spl0_27
  <=> ! [X19] :
        ( ~ c1_1(X19)
        | c0_1(X19)
        | c3_1(X19) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f433,plain,
    ( ! [X19] :
        ( ~ c1_1(X19)
        | c0_1(X19)
        | c3_1(X19) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f435,definition,
    ( spl0_28
  <=> ! [X20] :
        ( ~ c0_1(X20)
        | ~ c2_1(X20)
        | c3_1(X20) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f436,plain,
    ( ! [X20] :
        ( ~ c0_1(X20)
        | ~ c2_1(X20)
        | c3_1(X20) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f438,definition,
    ( spl0_29
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f443,definition,
    ( spl0_30
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | ~ c2_1(X22)
        | ~ c0_1(X22) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f444,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | ~ c2_1(X22)
        | ~ c3_1(X22) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f446,definition,
    ( spl0_31
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | ~ c2_1(X23)
        | ~ c1_1(X23) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X23] :
        ( ~ c3_1(X23)
        | ~ c2_1(X23)
        | ~ c1_1(X23) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( spl0_27
    | spl0_2
    | spl0_30
    | spl0_31 ),
    inference(avatar_split_clause,[],[f319,f446,f443,f335,f432]) ).

fof(f450,definition,
    ( spl0_32
  <=> ! [X24] :
        ( c2_1(X24)
        | c0_1(X24)
        | c3_1(X24) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f451,plain,
    ( ! [X24] :
        ( c0_1(X24)
        | c2_1(X24)
        | c3_1(X24) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f453,definition,
    ( spl0_33
  <=> ! [X25] :
        ( c2_1(X25)
        | c0_1(X25)
        | ~ c1_1(X25) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f454,plain,
    ( ! [X25] :
        ( ~ c1_1(X25)
        | c0_1(X25)
        | c2_1(X25) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f455,plain,
    ( spl0_32
    | spl0_2
    | spl0_33
    | spl0_3 ),
    inference(avatar_split_clause,[],[f318,f339,f453,f335,f450]) ).

fof(f457,definition,
    ( spl0_34
  <=> ! [X28] :
        ( c3_1(X28)
        | c1_1(X28)
        | ~ c2_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f458,plain,
    ( ! [X28] :
        ( c3_1(X28)
        | c1_1(X28)
        | ~ c2_1(X28) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f460,definition,
    ( spl0_35
  <=> ! [X29] :
        ( ~ c1_1(X29)
        | ~ c2_1(X29)
        | c3_1(X29) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f461,plain,
    ( ! [X29] :
        ( ~ c1_1(X29)
        | ~ c2_1(X29)
        | c3_1(X29) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f464,definition,
    ( spl0_36
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f467,plain,
    ( spl0_32
    | spl0_2
    | spl0_4
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f316,f464,f342,f335,f450]) ).

fof(f469,definition,
    ( spl0_37
  <=> ! [X34] :
        ( c2_1(X34)
        | ~ c0_1(X34)
        | ~ c1_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X34] :
        ( ~ c1_1(X34)
        | ~ c0_1(X34)
        | c2_1(X34) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f471,plain,
    ( spl0_33
    | spl0_2
    | spl0_30
    | spl0_37 ),
    inference(avatar_split_clause,[],[f315,f469,f443,f335,f453]) ).

fof(f472,plain,
    ( spl0_33
    | spl0_2
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f314,f372,f369,f335,f453]) ).

fof(f474,definition,
    ( spl0_38
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f477,plain,
    ( spl0_33
    | spl0_2
    | ~ spl0_5
    | spl0_38 ),
    inference(avatar_split_clause,[],[f313,f474,f346,f335,f453]) ).

fof(f479,definition,
    ( spl0_39
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f482,plain,
    ( spl0_3
    | spl0_2
    | spl0_24
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f312,f479,f420,f335,f339]) ).

fof(f483,plain,
    ( spl0_34
    | spl0_2
    | spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f311,f384,f369,f335,f457]) ).

fof(f485,definition,
    ( spl0_40
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f488,plain,
    ( spl0_34
    | spl0_2
    | spl0_40
    | spl0_15 ),
    inference(avatar_split_clause,[],[f310,f384,f485,f335,f457]) ).

fof(f489,plain,
    ( spl0_34
    | spl0_2
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f309,f372,f335,f457]) ).

fof(f491,definition,
    ( spl0_41
  <=> ! [X44] :
        ( ~ c0_1(X44)
        | c1_1(X44)
        | ~ c2_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f492,plain,
    ( ! [X44] :
        ( ~ c0_1(X44)
        | c1_1(X44)
        | ~ c2_1(X44) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f494,definition,
    ( spl0_42
  <=> ! [X45] :
        ( ~ c3_1(X45)
        | c1_1(X45)
        | ~ c2_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f495,plain,
    ( ! [X45] :
        ( ~ c2_1(X45)
        | c1_1(X45)
        | ~ c3_1(X45) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f496,plain,
    ( spl0_41
    | spl0_2
    | spl0_42
    | spl0_31 ),
    inference(avatar_split_clause,[],[f308,f446,f494,f335,f491]) ).

fof(f498,definition,
    ( spl0_43
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f503,definition,
    ( spl0_44
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f506,plain,
    ( spl0_41
    | spl0_2
    | spl0_30
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f306,f503,f443,f335,f491]) ).

fof(f507,plain,
    ( spl0_42
    | spl0_2
    | spl0_8
    | spl0_25 ),
    inference(avatar_split_clause,[],[f305,f424,f358,f335,f494]) ).

fof(f509,definition,
    ( spl0_45
  <=> ! [X55] :
        ( c2_1(X55)
        | c1_1(X55)
        | ~ c0_1(X55) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f510,plain,
    ( ! [X55] :
        ( c2_1(X55)
        | c1_1(X55)
        | ~ c0_1(X55) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f511,plain,
    ( spl0_24
    | spl0_2
    | spl0_45 ),
    inference(avatar_split_clause,[],[f304,f509,f335,f420]) ).

fof(f513,definition,
    ( spl0_46
  <=> ! [X57] :
        ( ~ c1_1(X57)
        | c3_1(X57)
        | ~ c0_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f514,plain,
    ( ! [X57] :
        ( ~ c1_1(X57)
        | c3_1(X57)
        | ~ c0_1(X57) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f515,plain,
    ( spl0_4
    | spl0_2
    | spl0_46
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f303,f464,f513,f335,f342]) ).

fof(f517,definition,
    ( spl0_47
  <=> ! [X58] :
        ( ~ c3_1(X58)
        | c1_1(X58)
        | ~ c0_1(X58) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f518,plain,
    ( ! [X58] :
        ( ~ c3_1(X58)
        | c1_1(X58)
        | ~ c0_1(X58) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f520,definition,
    ( spl0_48
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f524,plain,
    ( spl0_47
    | spl0_2
    | spl0_43
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f301,f464,f498,f335,f517]) ).

fof(f525,plain,
    ( spl0_47
    | spl0_2
    | ~ spl0_48
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f300,f427,f520,f335,f517]) ).

fof(f527,definition,
    ( spl0_49
  <=> ! [X62] :
        ( ~ c3_1(X62)
        | c1_1(X62)
        | c2_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f528,plain,
    ( ! [X62] :
        ( ~ c3_1(X62)
        | c1_1(X62)
        | c2_1(X62) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f530,definition,
    ( spl0_50
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f533,plain,
    ( spl0_49
    | spl0_2
    | ~ spl0_5
    | spl0_50 ),
    inference(avatar_split_clause,[],[f299,f530,f346,f335,f527]) ).

fof(f535,definition,
    ( spl0_51
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f540,definition,
    ( spl0_52
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f544,plain,
    ( spl0_49
    | spl0_2
    | spl0_40 ),
    inference(avatar_split_clause,[],[f296,f485,f335,f527]) ).

fof(f546,plain,
    ( spl0_28
    | spl0_2
    | spl0_11
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f294,f427,f369,f335,f435]) ).

fof(f548,definition,
    ( spl0_53
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f551,plain,
    ( spl0_28
    | spl0_2
    | spl0_53
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f293,f464,f548,f335,f435]) ).

fof(f552,plain,
    ( spl0_28
    | spl0_2
    | ~ spl0_39
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f292,f393,f479,f335,f435]) ).

fof(f553,plain,
    ( spl0_28
    | spl0_2
    | ~ spl0_12
    | spl0_50 ),
    inference(avatar_split_clause,[],[f291,f530,f372,f335,f435]) ).

fof(f555,definition,
    ( spl0_54
  <=> ! [X73] :
        ( c2_1(X73)
        | c3_1(X73)
        | ~ c1_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f556,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c3_1(X73)
        | c2_1(X73) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f557,plain,
    ( spl0_35
    | spl0_2
    | spl0_54
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f290,f393,f555,f335,f460]) ).

fof(f558,plain,
    ( spl0_8
    | spl0_2
    | spl0_31
    | spl0_25 ),
    inference(avatar_split_clause,[],[f289,f424,f446,f335,f358]) ).

fof(f566,definition,
    ( spl0_56
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f581,definition,
    ( spl0_59
  <=> c3_1(a96) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f584,plain,
    ( ~ spl0_9
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f54,f581,f361]) ).

fof(f586,definition,
    ( spl0_60
  <=> c2_1(a96) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f588,plain,
    ( c2_1(a96)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f589,plain,
    ( ~ spl0_9
    | spl0_60 ),
    inference(avatar_split_clause,[],[f282,f586,f361]) ).

fof(f591,definition,
    ( spl0_61
  <=> c1_1(a96) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f593,plain,
    ( ~ c1_1(a96)
    | spl0_61 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f594,plain,
    ( ~ spl0_9
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f56,f591,f361]) ).

fof(f595,plain,
    ( ~ spl0_9
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f281,f335,f361]) ).

fof(f597,definition,
    ( spl0_62
  <=> c1_1(a97) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f599,plain,
    ( ~ c1_1(a97)
    | spl0_62 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f600,plain,
    ( spl0_12
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f280,f597,f372]) ).

fof(f602,definition,
    ( spl0_63
  <=> c3_1(a97) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f604,plain,
    ( c3_1(a97)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f605,plain,
    ( spl0_12
    | spl0_63 ),
    inference(avatar_split_clause,[],[f279,f602,f372]) ).

fof(f607,definition,
    ( spl0_64
  <=> c2_1(a97) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f609,plain,
    ( ~ c2_1(a97)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f610,plain,
    ( spl0_12
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f278,f607,f372]) ).

fof(f613,definition,
    ( spl0_65
  <=> c3_1(a98) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f615,plain,
    ( ~ c3_1(a98)
    | spl0_65 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f616,plain,
    ( ~ spl0_14
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f62,f613,f380]) ).

fof(f618,definition,
    ( spl0_66
  <=> c0_1(a98) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f620,plain,
    ( ~ c0_1(a98)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f621,plain,
    ( ~ spl0_14
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f63,f618,f380]) ).

fof(f623,definition,
    ( spl0_67
  <=> c1_1(a98) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f625,plain,
    ( c1_1(a98)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f623]) ).

fof(f626,plain,
    ( ~ spl0_14
    | spl0_67 ),
    inference(avatar_split_clause,[],[f64,f623,f380]) ).

fof(f629,definition,
    ( spl0_68
  <=> c3_1(a99) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f631,plain,
    ( ~ c3_1(a99)
    | spl0_68 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f632,plain,
    ( ~ spl0_15
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f66,f629,f384]) ).

fof(f634,definition,
    ( spl0_69
  <=> c1_1(a99) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f636,plain,
    ( ~ c1_1(a99)
    | spl0_69 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f637,plain,
    ( ~ spl0_15
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f67,f634,f384]) ).

fof(f639,definition,
    ( spl0_70
  <=> c2_1(a99) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f642,plain,
    ( ~ spl0_15
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f275,f639,f384]) ).

fof(f661,definition,
    ( spl0_74
  <=> c2_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f663,plain,
    ( c2_1(a101)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f664,plain,
    ( spl0_17
    | spl0_74 ),
    inference(avatar_split_clause,[],[f269,f661,f393]) ).

fof(f666,definition,
    ( spl0_75
  <=> c1_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f669,plain,
    ( spl0_17
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f268,f666,f393]) ).

fof(f671,definition,
    ( spl0_76
  <=> c3_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f673,plain,
    ( c3_1(a101)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f674,plain,
    ( spl0_17
    | spl0_76 ),
    inference(avatar_split_clause,[],[f267,f671,f393]) ).

fof(f677,definition,
    ( spl0_77
  <=> c3_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f679,plain,
    ( ~ c3_1(a102)
    | spl0_77 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f680,plain,
    ( spl0_20
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f265,f677,f404]) ).

fof(f682,definition,
    ( spl0_78
  <=> c2_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f684,plain,
    ( ~ c2_1(a102)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f685,plain,
    ( spl0_20
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f264,f682,f404]) ).

fof(f687,definition,
    ( spl0_79
  <=> c1_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f689,plain,
    ( c1_1(a102)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f690,plain,
    ( spl0_20
    | spl0_79 ),
    inference(avatar_split_clause,[],[f263,f687,f404]) ).

fof(f693,definition,
    ( spl0_80
  <=> c3_1(a103) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f696,plain,
    ( ~ spl0_22
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f82,f693,f412]) ).

fof(f698,definition,
    ( spl0_81
  <=> c1_1(a103) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f700,plain,
    ( ~ c1_1(a103)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f701,plain,
    ( ~ spl0_22
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f83,f698,f412]) ).

fof(f703,definition,
    ( spl0_82
  <=> c0_1(a103) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f705,plain,
    ( c0_1(a103)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f706,plain,
    ( ~ spl0_22
    | spl0_82 ),
    inference(avatar_split_clause,[],[f84,f703,f412]) ).

fof(f709,definition,
    ( spl0_83
  <=> c3_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f711,plain,
    ( ~ c3_1(a104)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f712,plain,
    ( spl0_26
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f260,f709,f427]) ).

fof(f714,definition,
    ( spl0_84
  <=> c2_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f716,plain,
    ( c2_1(a104)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f717,plain,
    ( spl0_26
    | spl0_84 ),
    inference(avatar_split_clause,[],[f259,f714,f427]) ).

fof(f719,definition,
    ( spl0_85
  <=> c0_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f721,plain,
    ( ~ c0_1(a104)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f722,plain,
    ( spl0_26
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f258,f719,f427]) ).

fof(f725,definition,
    ( spl0_86
  <=> c1_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f727,plain,
    ( ~ c1_1(a105)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f728,plain,
    ( spl0_29
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f256,f725,f438]) ).

fof(f735,definition,
    ( spl0_88
  <=> c0_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f737,plain,
    ( c0_1(a105)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f738,plain,
    ( spl0_29
    | spl0_88 ),
    inference(avatar_split_clause,[],[f254,f735,f438]) ).

fof(f741,definition,
    ( spl0_89
  <=> c2_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f743,plain,
    ( c2_1(a106)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f744,plain,
    ( spl0_36
    | spl0_89 ),
    inference(avatar_split_clause,[],[f252,f741,f464]) ).

fof(f746,definition,
    ( spl0_90
  <=> c3_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f748,plain,
    ( c3_1(a106)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f749,plain,
    ( spl0_36
    | spl0_90 ),
    inference(avatar_split_clause,[],[f251,f746,f464]) ).

fof(f751,definition,
    ( spl0_91
  <=> c1_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f753,plain,
    ( c1_1(a106)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f751]) ).

fof(f754,plain,
    ( spl0_36
    | spl0_91 ),
    inference(avatar_split_clause,[],[f250,f751,f464]) ).

fof(f757,definition,
    ( spl0_92
  <=> c3_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f760,plain,
    ( ~ spl0_38
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f98,f757,f474]) ).

fof(f762,definition,
    ( spl0_93
  <=> c0_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f764,plain,
    ( ~ c0_1(a109)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f765,plain,
    ( ~ spl0_38
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f99,f762,f474]) ).

fof(f767,definition,
    ( spl0_94
  <=> c2_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f769,plain,
    ( ~ c2_1(a109)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f767]) ).

fof(f770,plain,
    ( ~ spl0_38
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f248,f767,f474]) ).

fof(f773,definition,
    ( spl0_95
  <=> c0_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f775,plain,
    ( ~ c0_1(a110)
    | spl0_95 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f776,plain,
    ( spl0_39
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f246,f773,f479]) ).

fof(f778,definition,
    ( spl0_96
  <=> c3_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f780,plain,
    ( c3_1(a110)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( spl0_39
    | spl0_96 ),
    inference(avatar_split_clause,[],[f245,f778,f479]) ).

fof(f783,definition,
    ( spl0_97
  <=> c2_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f785,plain,
    ( ~ c2_1(a110)
    | spl0_97 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f786,plain,
    ( spl0_39
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f244,f783,f479]) ).

fof(f789,definition,
    ( spl0_98
  <=> c1_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f791,plain,
    ( ~ c1_1(a112)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f792,plain,
    ( ~ spl0_40
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f106,f789,f485]) ).

fof(f794,definition,
    ( spl0_99
  <=> c3_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f796,plain,
    ( c3_1(a112)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f797,plain,
    ( ~ spl0_40
    | spl0_99 ),
    inference(avatar_split_clause,[],[f107,f794,f485]) ).

fof(f799,definition,
    ( spl0_100
  <=> c0_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f801,plain,
    ( c0_1(a112)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f799]) ).

fof(f802,plain,
    ( ~ spl0_40
    | spl0_100 ),
    inference(avatar_split_clause,[],[f108,f799,f485]) ).

fof(f805,definition,
    ( spl0_101
  <=> c3_1(a115) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f807,plain,
    ( ~ c3_1(a115)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f808,plain,
    ( ~ spl0_43
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f110,f805,f498]) ).

fof(f810,definition,
    ( spl0_102
  <=> c2_1(a115) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f812,plain,
    ( c2_1(a115)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( ~ spl0_43
    | spl0_102 ),
    inference(avatar_split_clause,[],[f241,f810,f498]) ).

fof(f815,definition,
    ( spl0_103
  <=> c0_1(a115) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f817,plain,
    ( c0_1(a115)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f818,plain,
    ( ~ spl0_43
    | spl0_103 ),
    inference(avatar_split_clause,[],[f112,f815,f498]) ).

fof(f821,definition,
    ( spl0_104
  <=> c0_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f823,plain,
    ( ~ c0_1(a116)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f824,plain,
    ( spl0_44
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f239,f821,f503]) ).

fof(f826,definition,
    ( spl0_105
  <=> c3_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f828,plain,
    ( c3_1(a116)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f829,plain,
    ( spl0_44
    | spl0_105 ),
    inference(avatar_split_clause,[],[f238,f826,f503]) ).

fof(f831,definition,
    ( spl0_106
  <=> c1_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f833,plain,
    ( c1_1(a116)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f834,plain,
    ( spl0_44
    | spl0_106 ),
    inference(avatar_split_clause,[],[f237,f831,f503]) ).

fof(f837,definition,
    ( spl0_107
  <=> c3_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f839,plain,
    ( ~ c3_1(a118)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f837]) ).

fof(f840,plain,
    ( spl0_48
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f235,f837,f520]) ).

fof(f842,definition,
    ( spl0_108
  <=> c2_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f844,plain,
    ( c2_1(a118)
    | ~ spl0_108 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f845,plain,
    ( spl0_48
    | spl0_108 ),
    inference(avatar_split_clause,[],[f234,f842,f520]) ).

fof(f847,definition,
    ( spl0_109
  <=> c1_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f849,plain,
    ( c1_1(a118)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f850,plain,
    ( spl0_48
    | spl0_109 ),
    inference(avatar_split_clause,[],[f233,f847,f520]) ).

fof(f853,definition,
    ( spl0_110
  <=> c3_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f856,plain,
    ( ~ spl0_50
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f122,f853,f530]) ).

fof(f858,definition,
    ( spl0_111
  <=> c1_1(a124) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f860,plain,
    ( ~ c1_1(a124)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f861,plain,
    ( ~ spl0_50
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f123,f858,f530]) ).

fof(f869,definition,
    ( spl0_113
  <=> c3_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f872,plain,
    ( spl0_51
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f230,f869,f535]) ).

fof(f879,definition,
    ( spl0_115
  <=> c0_1(a125) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f881,plain,
    ( c0_1(a125)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f879]) ).

fof(f882,plain,
    ( spl0_51
    | spl0_115 ),
    inference(avatar_split_clause,[],[f228,f879,f535]) ).

fof(f885,definition,
    ( spl0_116
  <=> c3_1(a127) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f888,plain,
    ( spl0_52
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f226,f885,f540]) ).

fof(f895,definition,
    ( spl0_118
  <=> c0_1(a127) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f897,plain,
    ( c0_1(a127)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f895]) ).

fof(f898,plain,
    ( spl0_52
    | spl0_118 ),
    inference(avatar_split_clause,[],[f224,f895,f540]) ).

fof(f901,definition,
    ( spl0_119
  <=> c2_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f904,plain,
    ( ~ spl0_53
    | spl0_119 ),
    inference(avatar_split_clause,[],[f222,f901,f548]) ).

fof(f906,definition,
    ( spl0_120
  <=> c3_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f908,plain,
    ( c3_1(a133)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f909,plain,
    ( ~ spl0_53
    | spl0_120 ),
    inference(avatar_split_clause,[],[f135,f906,f548]) ).

fof(f911,definition,
    ( spl0_121
  <=> c0_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f913,plain,
    ( c0_1(a133)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f914,plain,
    ( ~ spl0_53
    | spl0_121 ),
    inference(avatar_split_clause,[],[f136,f911,f548]) ).

fof(f915,plain,
    ( ~ spl0_53
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f221,f335,f548]) ).

fof(f917,definition,
    ( spl0_122
  <=> c2_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f920,plain,
    ( ~ spl0_56
    | spl0_122 ),
    inference(avatar_split_clause,[],[f220,f917,f566]) ).

fof(f927,definition,
    ( spl0_124
  <=> c3_1(a145) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f929,plain,
    ( c3_1(a145)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f930,plain,
    ( ~ spl0_56
    | spl0_124 ),
    inference(avatar_split_clause,[],[f140,f927,f566]) ).

fof(f1009,definition,
    ( spl0_140
  <=> c2_1(a94) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1011,plain,
    ( ~ c2_1(a94)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f1009]) ).

fof(f1012,plain,
    ( spl0_5
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f205,f1009,f346]) ).

fof(f1014,definition,
    ( spl0_141
  <=> c1_1(a94) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1016,plain,
    ( c1_1(a94)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f1017,plain,
    ( spl0_5
    | spl0_141 ),
    inference(avatar_split_clause,[],[f204,f1014,f346]) ).

fof(f1019,definition,
    ( spl0_142
  <=> c0_1(a94) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1022,plain,
    ( spl0_5
    | spl0_142 ),
    inference(avatar_split_clause,[],[f203,f1019,f346]) ).

fof(f1025,definition,
    ( spl0_143
  <=> c3_1(a95) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1027,plain,
    ( c3_1(a95)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f1025]) ).

fof(f1028,plain,
    ( ~ spl0_6
    | spl0_143 ),
    inference(avatar_split_clause,[],[f162,f1025,f350]) ).

fof(f1030,definition,
    ( spl0_144
  <=> c2_1(a95) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1033,plain,
    ( ~ spl0_6
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f201,f1030,f350]) ).

fof(f1035,definition,
    ( spl0_145
  <=> c0_1(a95) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1037,plain,
    ( c0_1(a95)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1038,plain,
    ( ~ spl0_6
    | spl0_145 ),
    inference(avatar_split_clause,[],[f164,f1035,f350]) ).

fof(f1057,definition,
    ( spl0_149
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1061,definition,
    ( spl0_150
  <=> c3_1(a165) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1063,plain,
    ( c3_1(a165)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1064,plain,
    ( ~ spl0_149
    | spl0_150 ),
    inference(avatar_split_clause,[],[f170,f1061,f1057]) ).

fof(f1066,definition,
    ( spl0_151
  <=> c2_1(a165) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1069,plain,
    ( ~ spl0_149
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f198,f1066,f1057]) ).

fof(f1071,definition,
    ( spl0_152
  <=> c1_1(a165) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1073,plain,
    ( c1_1(a165)
    | ~ spl0_152 ),
    inference(avatar_component_clause,[],[f1071]) ).

fof(f1074,plain,
    ( ~ spl0_149
    | spl0_152 ),
    inference(avatar_split_clause,[],[f172,f1071,f1057]) ).

fof(f1075,plain,
    ( ~ spl0_149
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f197,f335,f1057]) ).

fof(f1077,plain,
    ( ~ spl0_51
    | ~ spl0_52
    | spl0_40 ),
    inference(avatar_split_clause,[],[f195,f485,f540,f535]) ).

fof(f1079,plain,
    ( ~ spl0_29
    | spl0_43
    | spl0_14 ),
    inference(avatar_split_clause,[],[f193,f380,f498,f438]) ).

fof(f1080,plain,
    ( spl0_53
    | spl0_149
    | spl0_9 ),
    inference(avatar_split_clause,[],[f178,f361,f1057,f548]) ).

fof(f1081,plain,
    ( spl0_53
    | spl0_15
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f192,f427,f384,f548]) ).

fof(f1082,plain,
    ( spl0_43
    | ~ spl0_48
    | spl0_56 ),
    inference(avatar_split_clause,[],[f191,f566,f520,f498]) ).

fof(f1083,plain,
    ( spl0_43
    | ~ spl0_39
    | spl0_38 ),
    inference(avatar_split_clause,[],[f190,f474,f479,f498]) ).

fof(f1084,plain,
    ( spl0_43
    | ~ spl0_12
    | spl0_15 ),
    inference(avatar_split_clause,[],[f189,f384,f372,f498]) ).

fof(f1090,plain,
    ( c2_1(a99)
    | c3_1(a99)
    | ~ spl0_4
    | spl0_69 ),
    inference(resolution,[],[f343,f636]) ).

fof(f1101,plain,
    ( ~ c3_1(a112)
    | c2_1(a112)
    | ~ spl0_11
    | ~ spl0_100 ),
    inference(resolution,[],[f370,f801]) ).

fof(f1105,plain,
    ( ! [X11] :
        ( ~ c2_1(X11)
        | ~ c1_1(X11) )
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f402,f359]) ).

fof(f1107,plain,
    ( ~ c1_1(a118)
    | ~ spl0_8
    | ~ spl0_19
    | ~ spl0_108 ),
    inference(resolution,[],[f1105,f844]) ).

fof(f1112,plain,
    ( c0_1(a118)
    | ~ c1_1(a118)
    | ~ spl0_19
    | ~ spl0_108 ),
    inference(resolution,[],[f402,f844]) ).

fof(f1114,plain,
    ( c0_1(a118)
    | ~ spl0_19
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1112,f849]) ).

fof(f1122,plain,
    ( ~ c2_1(a118)
    | c3_1(a118)
    | ~ spl0_19
    | ~ spl0_28
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(resolution,[],[f436,f1114]) ).

fof(f1123,plain,
    ( c3_1(a118)
    | ~ spl0_19
    | ~ spl0_28
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1122,f844]) ).

fof(f1124,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_28
    | spl0_107
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(forward_subsumption_resolution,[],[f1123,f839]) ).

fof(f1125,plain,
    ( ~ spl0_19
    | ~ spl0_28
    | spl0_107
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(avatar_contradiction_clause,[],[f1124]) ).

fof(f1132,plain,
    ( ! [X22] :
        ( ~ c2_1(X22)
        | ~ c0_1(X22) )
    | ~ spl0_28
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f444,f436]) ).

fof(f1151,plain,
    ( c0_1(a106)
    | ~ c2_1(a106)
    | ~ spl0_23
    | ~ spl0_90 ),
    inference(resolution,[],[f748,f418]) ).

fof(f1154,definition,
    ( spl0_153
  <=> c0_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1155,plain,
    ( ~ c0_1(a106)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1156,plain,
    ( c0_1(a106)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1154]) ).

fof(f1177,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_23
    | ~ spl0_30 ),
    inference(forward_subsumption_resolution,[],[f444,f418]) ).

fof(f1180,plain,
    ( ~ c2_1(a106)
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_90 ),
    inference(resolution,[],[f1177,f748]) ).

fof(f1185,plain,
    ( ~ spl0_89
    | spl0_153
    | ~ spl0_23
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1151,f746,f417,f1154,f741]) ).

fof(f1186,plain,
    ( ~ spl0_89
    | ~ spl0_23
    | ~ spl0_30
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1180,f746,f443,f417,f741]) ).

fof(f1188,definition,
    ( spl0_154
  <=> c0_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1190,plain,
    ( c0_1(a101)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1188]) ).

fof(f1204,definition,
    ( spl0_155
  <=> c1_1(a133) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1215,plain,
    ( c1_1(a115)
    | c3_1(a115)
    | ~ spl0_24
    | ~ spl0_103 ),
    inference(resolution,[],[f817,f421]) ).

fof(f1216,plain,
    ( c1_1(a115)
    | ~ spl0_24
    | spl0_101
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f1215,f807]) ).

fof(f1220,plain,
    ( ~ c0_1(a115)
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_102 ),
    inference(resolution,[],[f1132,f812]) ).

fof(f1229,plain,
    ( c0_1(a145)
    | ~ c2_1(a145)
    | ~ spl0_23
    | ~ spl0_124 ),
    inference(resolution,[],[f929,f418]) ).

fof(f1232,plain,
    ( ~ c2_1(a145)
    | ~ spl0_23
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_124 ),
    inference(forward_subsumption_resolution,[],[f1229,f1132]) ).

fof(f1240,plain,
    ( ~ spl0_122
    | ~ spl0_23
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1232,f927,f443,f435,f417,f917]) ).

fof(f1241,plain,
    ( ~ c0_1(a118)
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_108 ),
    inference(resolution,[],[f844,f1132]) ).

fof(f1253,plain,
    ( c1_1(a103)
    | c3_1(a103)
    | ~ spl0_24
    | ~ spl0_82 ),
    inference(resolution,[],[f705,f421]) ).

fof(f1254,plain,
    ( c3_1(a103)
    | ~ spl0_24
    | spl0_81
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f1253,f700]) ).

fof(f1314,plain,
    ( c2_1(a99)
    | ~ spl0_4
    | spl0_68
    | spl0_69 ),
    inference(forward_subsumption_resolution,[],[f1090,f631]) ).

fof(f1317,plain,
    ( spl0_70
    | ~ spl0_4
    | spl0_68
    | spl0_69 ),
    inference(avatar_split_clause,[],[f1314,f634,f629,f342,f639]) ).

fof(f1333,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_33 ),
    inference(resolution,[],[f454,f343]) ).

fof(f1344,plain,
    ( ! [X28] :
        ( c1_1(X28)
        | c3_1(X28) )
    | ~ spl0_4
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f458,f343]) ).

fof(f1346,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_4
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(resolution,[],[f1344,f454]) ).

fof(f1347,plain,
    ( c3_1(a96)
    | ~ spl0_4
    | ~ spl0_34
    | spl0_61 ),
    inference(resolution,[],[f1344,f593]) ).

fof(f1352,plain,
    ( c3_1(a103)
    | ~ spl0_4
    | ~ spl0_34
    | spl0_81 ),
    inference(resolution,[],[f1344,f700]) ).

fof(f1355,plain,
    ( c3_1(a124)
    | ~ spl0_4
    | ~ spl0_34
    | spl0_111 ),
    inference(resolution,[],[f1344,f860]) ).

fof(f1371,plain,
    ( spl0_110
    | ~ spl0_4
    | ~ spl0_34
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1355,f858,f457,f342,f853]) ).

fof(f1374,definition,
    ( spl0_158
  <=> c2_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1376,plain,
    ( c2_1(a112)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1374]) ).

fof(f1381,plain,
    ( spl0_59
    | ~ spl0_4
    | ~ spl0_34
    | spl0_61 ),
    inference(avatar_split_clause,[],[f1347,f591,f457,f342,f581]) ).

fof(f1410,plain,
    ( c0_1(a116)
    | ~ c2_1(a116)
    | ~ spl0_23
    | ~ spl0_105 ),
    inference(resolution,[],[f828,f418]) ).

fof(f1411,plain,
    ( c0_1(a116)
    | ~ c1_1(a116)
    | ~ spl0_3
    | ~ spl0_105 ),
    inference(resolution,[],[f828,f340]) ).

fof(f1413,plain,
    ( ~ c2_1(a116)
    | ~ spl0_23
    | spl0_104
    | ~ spl0_105 ),
    inference(forward_subsumption_resolution,[],[f1410,f823]) ).

fof(f1417,plain,
    ( ~ spl0_106
    | spl0_104
    | ~ spl0_3
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1411,f826,f339,f821,f831]) ).

fof(f1421,plain,
    ( c0_1(a116)
    | c2_1(a116)
    | ~ spl0_33
    | ~ spl0_106 ),
    inference(resolution,[],[f833,f454]) ).

fof(f1454,plain,
    ( ! [X55] :
        ( ~ c0_1(X55)
        | c1_1(X55) )
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f510,f1132]) ).

fof(f1456,definition,
    ( spl0_160
  <=> c2_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1479,plain,
    ( c1_1(a103)
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_45
    | ~ spl0_82 ),
    inference(resolution,[],[f1454,f705]) ).

fof(f1480,plain,
    ( c1_1(a105)
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_45
    | ~ spl0_88 ),
    inference(resolution,[],[f1454,f737]) ).

fof(f1494,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_45
    | spl0_86
    | ~ spl0_88 ),
    inference(forward_subsumption_resolution,[],[f1480,f727]) ).

fof(f1495,plain,
    ( ~ spl0_28
    | ~ spl0_30
    | ~ spl0_45
    | spl0_86
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f1494]) ).

fof(f1496,plain,
    ( $false
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_45
    | spl0_81
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f1479,f700]) ).

fof(f1497,plain,
    ( ~ spl0_28
    | ~ spl0_30
    | ~ spl0_45
    | spl0_81
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f1496]) ).

fof(f1503,plain,
    ( c2_1(a116)
    | ~ spl0_33
    | spl0_104
    | ~ spl0_106 ),
    inference(forward_subsumption_resolution,[],[f1421,f823]) ).

fof(f1505,plain,
    ( spl0_160
    | ~ spl0_33
    | spl0_104
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1503,f831,f821,f453,f1456]) ).

fof(f1513,plain,
    ( c0_1(a96)
    | c1_1(a96)
    | ~ spl0_1
    | ~ spl0_60 ),
    inference(resolution,[],[f333,f588]) ).

fof(f1516,plain,
    ( c0_1(a104)
    | c1_1(a104)
    | ~ spl0_1
    | ~ spl0_84 ),
    inference(resolution,[],[f333,f716]) ).

fof(f1521,plain,
    ( c1_1(a104)
    | ~ spl0_1
    | ~ spl0_84
    | spl0_85 ),
    inference(forward_subsumption_resolution,[],[f1516,f721]) ).

fof(f1522,plain,
    ( c0_1(a96)
    | ~ spl0_1
    | ~ spl0_60
    | spl0_61 ),
    inference(forward_subsumption_resolution,[],[f1513,f593]) ).

fof(f1528,plain,
    ( ~ c2_1(a106)
    | ~ c1_1(a106)
    | ~ spl0_8
    | ~ spl0_153 ),
    inference(resolution,[],[f359,f1156]) ).

fof(f1530,plain,
    ( ~ c2_1(a115)
    | ~ c1_1(a115)
    | ~ spl0_8
    | ~ spl0_103 ),
    inference(resolution,[],[f359,f817]) ).

fof(f1550,plain,
    ( ~ c2_1(a115)
    | c3_1(a115)
    | ~ spl0_28
    | ~ spl0_103 ),
    inference(resolution,[],[f436,f817]) ).

fof(f1638,plain,
    ( spl0_101
    | ~ spl0_102
    | ~ spl0_28
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1550,f815,f435,f810,f805]) ).

fof(f1645,plain,
    ( spl0_158
    | ~ spl0_99
    | ~ spl0_11
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1101,f799,f369,f794,f1374]) ).

fof(f1685,plain,
    ( ~ c2_1(a106)
    | ~ c1_1(a106)
    | ~ spl0_31
    | ~ spl0_90 ),
    inference(resolution,[],[f447,f748]) ).

fof(f1711,plain,
    ( c1_1(a112)
    | ~ c2_1(a112)
    | ~ spl0_41
    | ~ spl0_100 ),
    inference(resolution,[],[f492,f801]) ).

fof(f1715,plain,
    ( c1_1(a133)
    | ~ c2_1(a133)
    | ~ spl0_41
    | ~ spl0_121 ),
    inference(resolution,[],[f492,f913]) ).

fof(f1740,plain,
    ( spl0_80
    | ~ spl0_24
    | spl0_81
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1254,f703,f698,f420,f693]) ).

fof(f1750,plain,
    ( ~ spl0_160
    | ~ spl0_23
    | spl0_104
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1413,f826,f821,f417,f1456]) ).

fof(f1797,plain,
    ( ! [X11] :
        ( c0_1(X11)
        | ~ c2_1(X11) )
    | ~ spl0_1
    | ~ spl0_19 ),
    inference(forward_subsumption_resolution,[],[f402,f333]) ).

fof(f1800,plain,
    ( ~ c2_1(a104)
    | ~ spl0_1
    | ~ spl0_19
    | spl0_85 ),
    inference(resolution,[],[f1797,f721]) ).

fof(f1802,plain,
    ( ~ c2_1(a116)
    | ~ spl0_1
    | ~ spl0_19
    | spl0_104 ),
    inference(resolution,[],[f1797,f823]) ).

fof(f1822,plain,
    ( ~ spl0_84
    | ~ spl0_1
    | ~ spl0_19
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1800,f719,f401,f332,f714]) ).

fof(f1825,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(resolution,[],[f370,f378]) ).

fof(f1841,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1825]) ).

fof(f1846,plain,
    ( spl0_49
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1841,f377,f369,f527]) ).

fof(f1883,plain,
    ( c1_1(a112)
    | ~ spl0_41
    | ~ spl0_100
    | ~ spl0_158 ),
    inference(forward_subsumption_resolution,[],[f1711,f1376]) ).

fof(f1889,plain,
    ( spl0_98
    | ~ spl0_41
    | ~ spl0_100
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1883,f1374,f799,f491,f789]) ).

fof(f1931,plain,
    ( ~ spl0_109
    | ~ spl0_8
    | ~ spl0_19
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1107,f842,f401,f358,f847]) ).

fof(f1933,plain,
    ( ~ c2_1(a106)
    | ~ spl0_8
    | ~ spl0_91
    | ~ spl0_153 ),
    inference(forward_subsumption_resolution,[],[f1528,f753]) ).

fof(f1934,plain,
    ( ~ c1_1(a115)
    | ~ spl0_8
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f1530,f812]) ).

fof(f1943,plain,
    ( ~ spl0_89
    | ~ spl0_8
    | ~ spl0_91
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1933,f1154,f751,f358,f741]) ).

fof(f1944,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_24
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(forward_subsumption_resolution,[],[f1934,f1216]) ).

fof(f1945,plain,
    ( ~ spl0_8
    | ~ spl0_24
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(avatar_contradiction_clause,[],[f1944]) ).

fof(f1952,definition,
    ( spl0_162
  <=> c0_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1954,plain,
    ( c0_1(a118)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1952]) ).

fof(f1985,plain,
    ( ~ c0_1(a106)
    | ~ c1_1(a106)
    | ~ spl0_25
    | ~ spl0_90 ),
    inference(resolution,[],[f425,f748]) ).

fof(f1989,plain,
    ( ~ c0_1(a133)
    | ~ c1_1(a133)
    | ~ spl0_25
    | ~ spl0_120 ),
    inference(resolution,[],[f425,f908]) ).

fof(f1991,plain,
    ( ~ c0_1(a165)
    | ~ c1_1(a165)
    | ~ spl0_25
    | ~ spl0_150 ),
    inference(resolution,[],[f425,f1063]) ).

fof(f1992,plain,
    ( ~ c0_1(a165)
    | ~ spl0_25
    | ~ spl0_150
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f1991,f1073]) ).

fof(f2005,plain,
    ( ~ spl0_91
    | ~ spl0_89
    | ~ spl0_31
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1685,f746,f446,f741,f751]) ).

fof(f2035,plain,
    ( ~ c2_1(a116)
    | ~ c1_1(a116)
    | ~ spl0_31
    | ~ spl0_105 ),
    inference(resolution,[],[f447,f828]) ).

fof(f2067,definition,
    ( spl0_163
  <=> c1_1(a104) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f2069,plain,
    ( c1_1(a104)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f2067]) ).

fof(f2094,plain,
    ( ~ c0_1(a94)
    | c2_1(a94)
    | ~ spl0_37
    | ~ spl0_141 ),
    inference(resolution,[],[f470,f1016]) ).

fof(f2102,plain,
    ( ~ c0_1(a94)
    | ~ spl0_37
    | spl0_140
    | ~ spl0_141 ),
    inference(forward_subsumption_resolution,[],[f2094,f1011]) ).

fof(f2103,plain,
    ( ~ spl0_142
    | ~ spl0_37
    | spl0_140
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f2102,f1014,f1009,f469,f1019]) ).

fof(f2137,plain,
    ( c2_1(a109)
    | c3_1(a109)
    | ~ spl0_32
    | spl0_93 ),
    inference(resolution,[],[f451,f764]) ).

fof(f2145,plain,
    ( c3_1(a109)
    | ~ spl0_32
    | spl0_93
    | spl0_94 ),
    inference(forward_subsumption_resolution,[],[f2137,f769]) ).

fof(f2165,plain,
    ( ! [X44] :
        ( c1_1(X44)
        | ~ c2_1(X44) )
    | ~ spl0_1
    | ~ spl0_41 ),
    inference(forward_subsumption_resolution,[],[f492,f333]) ).

fof(f2173,plain,
    ( spl0_92
    | ~ spl0_32
    | spl0_93
    | spl0_94 ),
    inference(avatar_split_clause,[],[f2145,f767,f762,f450,f757]) ).

fof(f2193,plain,
    ( c0_1(a98)
    | c3_1(a98)
    | ~ spl0_27
    | ~ spl0_67 ),
    inference(resolution,[],[f625,f433]) ).

fof(f2194,plain,
    ( c3_1(a98)
    | ~ spl0_27
    | spl0_66
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f2193,f620]) ).

fof(f2195,plain,
    ( $false
    | ~ spl0_27
    | spl0_65
    | spl0_66
    | ~ spl0_67 ),
    inference(forward_subsumption_resolution,[],[f2194,f615]) ).

fof(f2196,plain,
    ( ~ spl0_27
    | spl0_65
    | spl0_66
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f2195]) ).

fof(f2236,definition,
    ( spl0_167
  <=> c0_1(a165) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f2323,plain,
    ( ~ c3_1(a95)
    | c2_1(a95)
    | ~ spl0_11
    | ~ spl0_145 ),
    inference(resolution,[],[f1037,f370]) ).

fof(f2324,plain,
    ( c2_1(a95)
    | ~ spl0_11
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(forward_subsumption_resolution,[],[f2323,f1027]) ).

fof(f2329,plain,
    ( spl0_163
    | ~ spl0_1
    | ~ spl0_84
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1521,f719,f714,f332,f2067]) ).

fof(f2335,plain,
    ( spl0_144
    | ~ spl0_11
    | ~ spl0_143
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2324,f1035,f1025,f369,f1030]) ).

fof(f2344,plain,
    ( ~ c2_1(a112)
    | ~ spl0_1
    | ~ spl0_41
    | spl0_98 ),
    inference(resolution,[],[f2165,f791]) ).

fof(f2386,definition,
    ( spl0_171
  <=> c1_1(a115) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f2405,plain,
    ( c0_1(a165)
    | ~ c1_1(a165)
    | ~ spl0_3
    | ~ spl0_150 ),
    inference(resolution,[],[f340,f1063]) ).

fof(f2406,plain,
    ( c0_1(a165)
    | ~ spl0_3
    | ~ spl0_150
    | ~ spl0_152 ),
    inference(forward_subsumption_resolution,[],[f2405,f1073]) ).

fof(f2409,plain,
    ( spl0_167
    | ~ spl0_3
    | ~ spl0_150
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2406,f1071,f1061,f339,f2236]) ).

fof(f2424,plain,
    ( c0_1(a165)
    | c2_1(a165)
    | ~ spl0_33
    | ~ spl0_152 ),
    inference(resolution,[],[f454,f1073]) ).

fof(f2444,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | ~ c2_1(X45) )
    | ~ spl0_31
    | ~ spl0_42 ),
    inference(forward_subsumption_resolution,[],[f495,f447]) ).

fof(f2508,plain,
    ( ~ spl0_167
    | ~ spl0_25
    | ~ spl0_150
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f1992,f1071,f1061,f424,f2236]) ).

fof(f2521,plain,
    ( c3_1(a104)
    | c1_1(a104)
    | ~ spl0_7
    | spl0_85 ),
    inference(resolution,[],[f356,f721]) ).

fof(f2550,plain,
    ( ~ c2_1(a118)
    | c3_1(a118)
    | ~ spl0_28
    | ~ spl0_162 ),
    inference(resolution,[],[f1954,f436]) ).

fof(f2552,plain,
    ( c3_1(a118)
    | ~ spl0_28
    | ~ spl0_108
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f2550,f844]) ).

fof(f2553,plain,
    ( $false
    | ~ spl0_28
    | spl0_107
    | ~ spl0_108
    | ~ spl0_162 ),
    inference(forward_subsumption_resolution,[],[f2552,f839]) ).

fof(f2554,plain,
    ( ~ spl0_28
    | spl0_107
    | ~ spl0_108
    | ~ spl0_162 ),
    inference(avatar_contradiction_clause,[],[f2553]) ).

fof(f2562,plain,
    ( ! [X55] :
        ( ~ c0_1(X55)
        | c1_1(X55) )
    | ~ spl0_41
    | ~ spl0_45 ),
    inference(forward_subsumption_resolution,[],[f510,f492]) ).

fof(f2563,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_32
    | ~ spl0_41
    | ~ spl0_45 ),
    inference(resolution,[],[f2562,f451]) ).

fof(f2573,plain,
    ( spl0_4
    | ~ spl0_32
    | ~ spl0_41
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f2563,f509,f491,f450,f342]) ).

fof(f2574,plain,
    ( ! [X13] :
        ( c0_1(X13)
        | c2_1(X13) )
    | ~ spl0_21
    | ~ spl0_32 ),
    inference(forward_subsumption_resolution,[],[f410,f451]) ).

fof(f2596,plain,
    ( c2_1(a109)
    | ~ spl0_21
    | ~ spl0_32
    | spl0_93 ),
    inference(resolution,[],[f2574,f764]) ).

fof(f2597,plain,
    ( c2_1(a110)
    | ~ spl0_21
    | ~ spl0_32
    | spl0_95 ),
    inference(resolution,[],[f2574,f775]) ).

fof(f2616,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_32
    | spl0_93
    | spl0_94 ),
    inference(forward_subsumption_resolution,[],[f2596,f769]) ).

fof(f2617,plain,
    ( ~ spl0_21
    | ~ spl0_32
    | spl0_93
    | spl0_94 ),
    inference(avatar_contradiction_clause,[],[f2616]) ).

fof(f2622,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c0_1(X11) )
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f402,f454]) ).

fof(f2635,plain,
    ( c0_1(a98)
    | ~ spl0_19
    | ~ spl0_33
    | ~ spl0_67 ),
    inference(resolution,[],[f2622,f625]) ).

fof(f2666,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_4
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f1333]) ).

fof(f2671,plain,
    ( spl0_32
    | ~ spl0_4
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f2666,f453,f342,f450]) ).

fof(f2672,plain,
    ( spl0_32
    | ~ spl0_4
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f1346,f457,f453,f342,f450]) ).

fof(f2673,plain,
    ( spl0_80
    | ~ spl0_4
    | ~ spl0_34
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1352,f698,f457,f342,f693]) ).

fof(f2687,plain,
    ( spl0_66
    | ~ spl0_19
    | ~ spl0_33
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2635,f623,f453,f401,f618]) ).

fof(f2720,plain,
    ( ~ spl0_119
    | spl0_155
    | ~ spl0_41
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1715,f911,f491,f1204,f901]) ).

fof(f2746,plain,
    ( c0_1(a106)
    | ~ c1_1(a106)
    | ~ spl0_3
    | ~ spl0_90 ),
    inference(resolution,[],[f748,f340]) ).

fof(f2822,plain,
    ( ~ spl0_109
    | spl0_162
    | ~ spl0_19
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1112,f842,f401,f1952,f847]) ).

fof(f2842,plain,
    ( ~ c2_1(a133)
    | ~ spl0_31
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(resolution,[],[f2444,f908]) ).

fof(f2859,plain,
    ( spl0_97
    | ~ spl0_21
    | ~ spl0_32
    | spl0_95 ),
    inference(avatar_split_clause,[],[f2597,f773,f450,f409,f783]) ).

fof(f2895,plain,
    ( ~ c2_1(a115)
    | ~ c1_1(a115)
    | ~ spl0_8
    | ~ spl0_103 ),
    inference(resolution,[],[f359,f817]) ).

fof(f2899,plain,
    ( ~ c2_1(a133)
    | ~ c1_1(a133)
    | ~ spl0_8
    | ~ spl0_121 ),
    inference(resolution,[],[f359,f913]) ).

fof(f2918,plain,
    ( ~ c2_1(a101)
    | ~ c3_1(a101)
    | ~ spl0_30
    | ~ spl0_154 ),
    inference(resolution,[],[f444,f1190]) ).

fof(f2926,plain,
    ( ~ c2_1(a133)
    | ~ c3_1(a133)
    | ~ spl0_30
    | ~ spl0_121 ),
    inference(resolution,[],[f444,f913]) ).

fof(f2959,plain,
    ( ~ spl0_162
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f1241,f842,f443,f435,f1952]) ).

fof(f2978,plain,
    ( ~ spl0_119
    | ~ spl0_31
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2842,f906,f494,f446,f901]) ).

fof(f2983,plain,
    ( ~ spl0_155
    | ~ spl0_119
    | ~ spl0_8
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2899,f911,f358,f901,f1204]) ).

fof(f2984,plain,
    ( ~ c2_1(a133)
    | ~ spl0_30
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(forward_subsumption_resolution,[],[f2926,f908]) ).

fof(f2987,plain,
    ( ~ c2_1(a101)
    | ~ spl0_30
    | ~ spl0_76
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f2918,f673]) ).

fof(f2997,plain,
    ( ~ spl0_119
    | ~ spl0_30
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f2984,f911,f906,f443,f901]) ).

fof(f2998,plain,
    ( ~ spl0_74
    | ~ spl0_30
    | ~ spl0_76
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f2987,f1188,f671,f443,f661]) ).

fof(f3076,plain,
    ( c0_1(a110)
    | c2_1(a110)
    | ~ spl0_21
    | ~ spl0_96 ),
    inference(resolution,[],[f410,f780]) ).

fof(f3086,plain,
    ( c2_1(a110)
    | ~ spl0_21
    | spl0_95
    | ~ spl0_96 ),
    inference(forward_subsumption_resolution,[],[f3076,f775]) ).

fof(f3099,plain,
    ( $false
    | ~ spl0_21
    | spl0_95
    | ~ spl0_96
    | spl0_97 ),
    inference(forward_subsumption_resolution,[],[f3086,f785]) ).

fof(f3100,plain,
    ( ~ spl0_21
    | spl0_95
    | ~ spl0_96
    | spl0_97 ),
    inference(avatar_contradiction_clause,[],[f3099]) ).

fof(f3131,plain,
    ( ! [X58] :
        ( ~ c0_1(X58)
        | c1_1(X58) )
    | ~ spl0_4
    | ~ spl0_34
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f518,f1344]) ).

fof(f3139,plain,
    ( c1_1(a133)
    | ~ spl0_4
    | ~ spl0_34
    | ~ spl0_47
    | ~ spl0_121 ),
    inference(resolution,[],[f3131,f913]) ).

fof(f3148,plain,
    ( spl0_155
    | ~ spl0_4
    | ~ spl0_34
    | ~ spl0_47
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f3139,f911,f517,f457,f342,f1204]) ).

fof(f3155,plain,
    ( ! [X62] :
        ( c1_1(X62)
        | c2_1(X62) )
    | ~ spl0_4
    | ~ spl0_34
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f528,f1344]) ).

fof(f3160,plain,
    ( c2_1(a97)
    | ~ spl0_4
    | ~ spl0_34
    | ~ spl0_49
    | spl0_62 ),
    inference(resolution,[],[f3155,f599]) ).

fof(f3171,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_34
    | ~ spl0_49
    | spl0_62
    | spl0_64 ),
    inference(forward_subsumption_resolution,[],[f3160,f609]) ).

fof(f3172,plain,
    ( ~ spl0_4
    | ~ spl0_34
    | ~ spl0_49
    | spl0_62
    | spl0_64 ),
    inference(avatar_contradiction_clause,[],[f3171]) ).

fof(f3177,plain,
    ( c1_1(a112)
    | ~ spl0_4
    | ~ spl0_34
    | ~ spl0_47
    | ~ spl0_100 ),
    inference(resolution,[],[f801,f3131]) ).

fof(f3178,plain,
    ( ~ c2_1(a112)
    | ~ c3_1(a112)
    | ~ spl0_30
    | ~ spl0_100 ),
    inference(resolution,[],[f801,f444]) ).

fof(f3180,plain,
    ( ~ c2_1(a112)
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f3178,f796]) ).

fof(f3181,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_34
    | ~ spl0_47
    | spl0_98
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f3177,f791]) ).

fof(f3182,plain,
    ( ~ spl0_4
    | ~ spl0_34
    | ~ spl0_47
    | spl0_98
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f3181]) ).

fof(f3183,plain,
    ( ~ spl0_158
    | ~ spl0_30
    | ~ spl0_99
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3180,f799,f794,f443,f1374]) ).

fof(f3190,plain,
    ( ~ spl0_160
    | ~ spl0_1
    | ~ spl0_19
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1802,f821,f401,f332,f1456]) ).

fof(f3201,plain,
    ( ~ spl0_158
    | ~ spl0_1
    | ~ spl0_41
    | spl0_98 ),
    inference(avatar_split_clause,[],[f2344,f789,f491,f332,f1374]) ).

fof(f3205,plain,
    ( spl0_163
    | spl0_83
    | ~ spl0_7
    | spl0_85 ),
    inference(avatar_split_clause,[],[f2521,f719,f355,f709,f2067]) ).

fof(f3218,plain,
    ( ~ spl0_155
    | ~ spl0_121
    | ~ spl0_25
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1989,f906,f424,f911,f1204]) ).

fof(f3238,plain,
    ( ~ spl0_106
    | ~ spl0_160
    | ~ spl0_31
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2035,f826,f446,f1456,f831]) ).

fof(f3263,plain,
    ( ~ spl0_91
    | spl0_153
    | ~ spl0_3
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f2746,f746,f339,f1154,f751]) ).

fof(f3265,plain,
    ( ~ spl0_103
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1220,f810,f443,f435,f815]) ).

fof(f3266,plain,
    ( ~ spl0_91
    | ~ spl0_153
    | ~ spl0_25
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1985,f746,f424,f1154,f751]) ).

fof(f3362,plain,
    ( ! [X8] :
        ( c0_1(X8)
        | c1_1(X8) )
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f378,f1344]) ).

fof(f3390,plain,
    ( ! [X11] :
        ( ~ c2_1(X11)
        | c0_1(X11) )
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f402,f3362]) ).

fof(f3393,plain,
    ( c0_1(a104)
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_34
    | ~ spl0_84 ),
    inference(resolution,[],[f3390,f716]) ).

fof(f3407,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_34
    | ~ spl0_84
    | spl0_85 ),
    inference(forward_subsumption_resolution,[],[f3393,f721]) ).

fof(f3408,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_34
    | ~ spl0_84
    | spl0_85 ),
    inference(avatar_contradiction_clause,[],[f3407]) ).

fof(f3415,plain,
    ( c0_1(a104)
    | ~ c1_1(a104)
    | ~ spl0_19
    | ~ spl0_84 ),
    inference(resolution,[],[f402,f716]) ).

fof(f3416,plain,
    ( c0_1(a106)
    | ~ c1_1(a106)
    | ~ spl0_19
    | ~ spl0_89 ),
    inference(resolution,[],[f402,f743]) ).

fof(f3425,plain,
    ( ~ c1_1(a106)
    | ~ spl0_19
    | ~ spl0_89
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f3416,f1155]) ).

fof(f3426,plain,
    ( ~ c1_1(a104)
    | ~ spl0_19
    | ~ spl0_84
    | spl0_85 ),
    inference(forward_subsumption_resolution,[],[f3415,f721]) ).

fof(f3431,plain,
    ( $false
    | ~ spl0_19
    | ~ spl0_89
    | ~ spl0_91
    | spl0_153 ),
    inference(forward_subsumption_resolution,[],[f3425,f753]) ).

fof(f3432,plain,
    ( ~ spl0_19
    | ~ spl0_89
    | ~ spl0_91
    | spl0_153 ),
    inference(avatar_contradiction_clause,[],[f3431]) ).

fof(f3433,plain,
    ( ~ spl0_163
    | ~ spl0_19
    | ~ spl0_84
    | spl0_85 ),
    inference(avatar_split_clause,[],[f3426,f719,f714,f401,f2067]) ).

fof(f3444,plain,
    ( ~ spl0_171
    | ~ spl0_102
    | ~ spl0_8
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f2895,f815,f358,f810,f2386]) ).

fof(f3461,plain,
    ( spl0_151
    | spl0_167
    | ~ spl0_33
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f2424,f1071,f453,f2236,f1066]) ).

fof(f3470,plain,
    ( c0_1(a101)
    | c1_1(a101)
    | ~ spl0_1
    | ~ spl0_74 ),
    inference(resolution,[],[f333,f663]) ).

fof(f3496,plain,
    ( c0_1(a104)
    | c3_1(a104)
    | ~ spl0_18
    | ~ spl0_84 ),
    inference(resolution,[],[f399,f716]) ).

fof(f3506,plain,
    ( c3_1(a104)
    | ~ spl0_18
    | ~ spl0_84
    | spl0_85 ),
    inference(forward_subsumption_resolution,[],[f3496,f721]) ).

fof(f3511,plain,
    ( $false
    | ~ spl0_18
    | spl0_83
    | ~ spl0_84
    | spl0_85 ),
    inference(forward_subsumption_resolution,[],[f3506,f711]) ).

fof(f3512,plain,
    ( ~ spl0_18
    | spl0_83
    | ~ spl0_84
    | spl0_85 ),
    inference(avatar_contradiction_clause,[],[f3511]) ).

fof(f3523,plain,
    ( c0_1(a165)
    | c2_1(a165)
    | ~ spl0_21
    | ~ spl0_150 ),
    inference(resolution,[],[f410,f1063]) ).

fof(f3548,plain,
    ( c1_1(a96)
    | c3_1(a96)
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_60
    | spl0_61 ),
    inference(resolution,[],[f1522,f421]) ).

fof(f3550,plain,
    ( c3_1(a96)
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_60
    | spl0_61 ),
    inference(forward_subsumption_resolution,[],[f3548,f593]) ).

fof(f3553,plain,
    ( spl0_151
    | spl0_167
    | ~ spl0_21
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f3523,f1061,f409,f2236,f1066]) ).

fof(f3554,plain,
    ( spl0_59
    | ~ spl0_1
    | ~ spl0_24
    | ~ spl0_60
    | spl0_61 ),
    inference(avatar_split_clause,[],[f3550,f591,f586,f420,f332,f581]) ).

fof(f3559,plain,
    ( c0_1(a118)
    | c3_1(a118)
    | ~ spl0_27
    | ~ spl0_109 ),
    inference(resolution,[],[f433,f849]) ).

fof(f3571,plain,
    ( ! [X58] :
        ( ~ c0_1(X58)
        | c1_1(X58) )
    | ~ spl0_24
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f518,f421]) ).

fof(f3572,plain,
    ( spl0_107
    | spl0_162
    | ~ spl0_27
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f3559,f847,f432,f1952,f837]) ).

fof(f3578,plain,
    ( c1_1(a103)
    | ~ spl0_24
    | ~ spl0_47
    | ~ spl0_82 ),
    inference(resolution,[],[f3571,f705]) ).

fof(f3579,plain,
    ( c1_1(a105)
    | ~ spl0_24
    | ~ spl0_47
    | ~ spl0_88 ),
    inference(resolution,[],[f3571,f737]) ).

fof(f3580,plain,
    ( c1_1(a112)
    | ~ spl0_24
    | ~ spl0_47
    | ~ spl0_100 ),
    inference(resolution,[],[f3571,f801]) ).

fof(f3581,plain,
    ( c1_1(a115)
    | ~ spl0_24
    | ~ spl0_47
    | ~ spl0_103 ),
    inference(resolution,[],[f3571,f817]) ).

fof(f3590,plain,
    ( spl0_171
    | ~ spl0_24
    | ~ spl0_47
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f3581,f815,f517,f420,f2386]) ).

fof(f3591,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_47
    | spl0_98
    | ~ spl0_100 ),
    inference(forward_subsumption_resolution,[],[f3580,f791]) ).

fof(f3592,plain,
    ( ~ spl0_24
    | ~ spl0_47
    | spl0_98
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f3591]) ).

fof(f3593,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_47
    | spl0_86
    | ~ spl0_88 ),
    inference(forward_subsumption_resolution,[],[f3579,f727]) ).

fof(f3594,plain,
    ( ~ spl0_24
    | ~ spl0_47
    | spl0_86
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f3593]) ).

fof(f3595,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_47
    | spl0_81
    | ~ spl0_82 ),
    inference(forward_subsumption_resolution,[],[f3578,f700]) ).

fof(f3596,plain,
    ( ~ spl0_24
    | ~ spl0_47
    | spl0_81
    | ~ spl0_82 ),
    inference(avatar_contradiction_clause,[],[f3595]) ).

fof(f3603,plain,
    ( ! [X57] :
        ( ~ c0_1(X57)
        | c3_1(X57) )
    | ~ spl0_24
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f514,f421]) ).

fof(f3610,plain,
    ( c3_1(a115)
    | ~ spl0_24
    | ~ spl0_46
    | ~ spl0_103 ),
    inference(resolution,[],[f3603,f817]) ).

fof(f3611,plain,
    ( c3_1(a125)
    | ~ spl0_24
    | ~ spl0_46
    | ~ spl0_115 ),
    inference(resolution,[],[f3603,f881]) ).

fof(f3612,plain,
    ( c3_1(a127)
    | ~ spl0_24
    | ~ spl0_46
    | ~ spl0_118 ),
    inference(resolution,[],[f3603,f897]) ).

fof(f3631,plain,
    ( spl0_116
    | ~ spl0_24
    | ~ spl0_46
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f3612,f895,f513,f420,f885]) ).

fof(f3632,plain,
    ( spl0_113
    | ~ spl0_24
    | ~ spl0_46
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f3611,f879,f513,f420,f869]) ).

fof(f3636,plain,
    ( spl0_101
    | ~ spl0_24
    | ~ spl0_46
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f3610,f815,f513,f420,f805]) ).

fof(f3665,plain,
    ( c1_1(a101)
    | ~ c3_1(a101)
    | ~ spl0_42
    | ~ spl0_74 ),
    inference(resolution,[],[f495,f663]) ).

fof(f3687,plain,
    ( spl0_75
    | spl0_154
    | ~ spl0_1
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f3470,f661,f332,f1188,f666]) ).

fof(f3688,plain,
    ( c1_1(a101)
    | ~ spl0_42
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(forward_subsumption_resolution,[],[f3665,f673]) ).

fof(f3696,plain,
    ( spl0_75
    | ~ spl0_42
    | ~ spl0_74
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f3688,f671,f661,f494,f666]) ).

fof(f3711,plain,
    ( ! [X62] :
        ( c1_1(X62)
        | ~ c3_1(X62) )
    | ~ spl0_42
    | ~ spl0_49 ),
    inference(forward_subsumption_resolution,[],[f528,f495]) ).

fof(f3712,plain,
    ( ~ c2_1(a104)
    | c3_1(a104)
    | ~ spl0_35
    | ~ spl0_163 ),
    inference(resolution,[],[f2069,f461]) ).

fof(f3714,plain,
    ( c0_1(a104)
    | c3_1(a104)
    | ~ spl0_27
    | ~ spl0_163 ),
    inference(resolution,[],[f2069,f433]) ).

fof(f3715,plain,
    ( c3_1(a104)
    | ~ spl0_27
    | spl0_85
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f3714,f721]) ).

fof(f3716,plain,
    ( c3_1(a104)
    | ~ spl0_35
    | ~ spl0_84
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f3712,f716]) ).

fof(f3717,plain,
    ( $false
    | ~ spl0_27
    | spl0_83
    | spl0_85
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f3715,f711]) ).

fof(f3718,plain,
    ( ~ spl0_27
    | spl0_83
    | spl0_85
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3717]) ).

fof(f3719,plain,
    ( $false
    | ~ spl0_35
    | spl0_83
    | ~ spl0_84
    | ~ spl0_163 ),
    inference(forward_subsumption_resolution,[],[f3716,f711]) ).

fof(f3720,plain,
    ( ~ spl0_35
    | spl0_83
    | ~ spl0_84
    | ~ spl0_163 ),
    inference(avatar_contradiction_clause,[],[f3719]) ).

fof(f3747,plain,
    ( ~ c3_1(a97)
    | ~ spl0_42
    | ~ spl0_49
    | spl0_62 ),
    inference(resolution,[],[f3711,f599]) ).

fof(f3764,plain,
    ( $false
    | ~ spl0_42
    | ~ spl0_49
    | spl0_62
    | ~ spl0_63 ),
    inference(forward_subsumption_resolution,[],[f3747,f604]) ).

fof(f3765,plain,
    ( ~ spl0_42
    | ~ spl0_49
    | spl0_62
    | ~ spl0_63 ),
    inference(avatar_contradiction_clause,[],[f3764]) ).

fof(f3884,plain,
    ( c3_1(a102)
    | c2_1(a102)
    | ~ spl0_54
    | ~ spl0_79 ),
    inference(resolution,[],[f556,f689]) ).

fof(f3899,plain,
    ( c2_1(a102)
    | ~ spl0_54
    | spl0_77
    | ~ spl0_79 ),
    inference(forward_subsumption_resolution,[],[f3884,f679]) ).

fof(f3903,plain,
    ( $false
    | ~ spl0_54
    | spl0_77
    | spl0_78
    | ~ spl0_79 ),
    inference(forward_subsumption_resolution,[],[f3899,f684]) ).

fof(f3904,plain,
    ( ~ spl0_54
    | spl0_77
    | spl0_78
    | ~ spl0_79 ),
    inference(avatar_contradiction_clause,[],[f3903]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s2,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s3,plain,
    ( spl0_2
    | spl0_7
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s5,plain,
    ( spl0_2
    | spl0_13
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s7,plain,
    ( spl0_2
    | spl0_18
    | spl0_19
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s8,plain,
    ( spl0_2
    | spl0_19
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s9,plain,
    ( spl0_2
    | spl0_21
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s10,plain,
    ( spl0_2
    | spl0_23
    | spl0_25
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s12,plain,
    ( spl0_2
    | spl0_27
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s13,plain,
    ( spl0_2
    | spl0_3
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f455]) ).

cnf(s15,plain,
    ( spl0_2
    | spl0_4
    | spl0_32
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s16,plain,
    ( spl0_2
    | spl0_30
    | spl0_33
    | spl0_37 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s17,plain,
    ( spl0_2
    | spl0_11
    | ~ spl0_12
    | spl0_33 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s18,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_33
    | spl0_38 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s19,plain,
    ( spl0_2
    | spl0_3
    | spl0_24
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s20,plain,
    ( spl0_2
    | spl0_11
    | spl0_15
    | spl0_34 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s21,plain,
    ( spl0_2
    | spl0_15
    | spl0_34
    | spl0_40 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s22,plain,
    ( spl0_2
    | ~ spl0_12
    | spl0_34 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s23,plain,
    ( spl0_2
    | spl0_31
    | spl0_41
    | spl0_42 ),
    inference(sat_conversion,[],[f496]) ).

cnf(s25,plain,
    ( spl0_2
    | spl0_30
    | spl0_41
    | ~ spl0_44 ),
    inference(sat_conversion,[],[f506]) ).

cnf(s26,plain,
    ( spl0_2
    | spl0_8
    | spl0_25
    | spl0_42 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s27,plain,
    ( spl0_2
    | spl0_24
    | spl0_45 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s28,plain,
    ( spl0_2
    | spl0_4
    | ~ spl0_36
    | spl0_46 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s30,plain,
    ( spl0_2
    | ~ spl0_36
    | spl0_43
    | spl0_47 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s31,plain,
    ( spl0_2
    | ~ spl0_26
    | spl0_47
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s32,plain,
    ( spl0_2
    | ~ spl0_5
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s35,plain,
    ( spl0_2
    | spl0_40
    | spl0_49 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s37,plain,
    ( spl0_2
    | spl0_11
    | ~ spl0_26
    | spl0_28 ),
    inference(sat_conversion,[],[f546]) ).

cnf(s38,plain,
    ( spl0_2
    | spl0_28
    | ~ spl0_36
    | spl0_53 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s39,plain,
    ( spl0_2
    | ~ spl0_17
    | spl0_28
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s40,plain,
    ( spl0_2
    | ~ spl0_12
    | spl0_28
    | spl0_50 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s41,plain,
    ( spl0_2
    | ~ spl0_17
    | spl0_35
    | spl0_54 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s42,plain,
    ( spl0_2
    | spl0_8
    | spl0_25
    | spl0_31 ),
    inference(sat_conversion,[],[f558]) ).

cnf(s49,plain,
    ( ~ spl0_9
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f584]) ).

cnf(s50,plain,
    ( ~ spl0_9
    | spl0_60 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s51,plain,
    ( ~ spl0_9
    | ~ spl0_61 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s52,plain,
    ( ~ spl0_2
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s53,plain,
    ( spl0_12
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f600]) ).

cnf(s54,plain,
    ( spl0_12
    | spl0_63 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s55,plain,
    ( spl0_12
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s57,plain,
    ( ~ spl0_14
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f616]) ).

cnf(s58,plain,
    ( ~ spl0_14
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s59,plain,
    ( ~ spl0_14
    | spl0_67 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s61,plain,
    ( ~ spl0_15
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s62,plain,
    ( ~ spl0_15
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s63,plain,
    ( ~ spl0_15
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s69,plain,
    ( spl0_17
    | spl0_74 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s70,plain,
    ( spl0_17
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s71,plain,
    ( spl0_17
    | spl0_76 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s73,plain,
    ( spl0_20
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s74,plain,
    ( spl0_20
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s75,plain,
    ( spl0_20
    | spl0_79 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s77,plain,
    ( ~ spl0_22
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f696]) ).

cnf(s78,plain,
    ( ~ spl0_22
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s79,plain,
    ( ~ spl0_22
    | spl0_82 ),
    inference(sat_conversion,[],[f706]) ).

cnf(s81,plain,
    ( spl0_26
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f712]) ).

cnf(s82,plain,
    ( spl0_26
    | spl0_84 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s83,plain,
    ( spl0_26
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s85,plain,
    ( spl0_29
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s87,plain,
    ( spl0_29
    | spl0_88 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s89,plain,
    ( spl0_36
    | spl0_89 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s90,plain,
    ( spl0_36
    | spl0_90 ),
    inference(sat_conversion,[],[f749]) ).

cnf(s91,plain,
    ( spl0_36
    | spl0_91 ),
    inference(sat_conversion,[],[f754]) ).

cnf(s93,plain,
    ( ~ spl0_38
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f760]) ).

cnf(s94,plain,
    ( ~ spl0_38
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s95,plain,
    ( ~ spl0_38
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f770]) ).

cnf(s97,plain,
    ( spl0_39
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s98,plain,
    ( spl0_39
    | spl0_96 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s99,plain,
    ( spl0_39
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s101,plain,
    ( ~ spl0_40
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s102,plain,
    ( ~ spl0_40
    | spl0_99 ),
    inference(sat_conversion,[],[f797]) ).

cnf(s103,plain,
    ( ~ spl0_40
    | spl0_100 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s105,plain,
    ( ~ spl0_43
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s106,plain,
    ( ~ spl0_43
    | spl0_102 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s107,plain,
    ( ~ spl0_43
    | spl0_103 ),
    inference(sat_conversion,[],[f818]) ).

cnf(s109,plain,
    ( spl0_44
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s110,plain,
    ( spl0_44
    | spl0_105 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s111,plain,
    ( spl0_44
    | spl0_106 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s113,plain,
    ( spl0_48
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f840]) ).

cnf(s114,plain,
    ( spl0_48
    | spl0_108 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s115,plain,
    ( spl0_48
    | spl0_109 ),
    inference(sat_conversion,[],[f850]) ).

cnf(s117,plain,
    ( ~ spl0_50
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f856]) ).

cnf(s118,plain,
    ( ~ spl0_50
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s121,plain,
    ( spl0_51
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s123,plain,
    ( spl0_51
    | spl0_115 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s125,plain,
    ( spl0_52
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f888]) ).

cnf(s127,plain,
    ( spl0_52
    | spl0_118 ),
    inference(sat_conversion,[],[f898]) ).

cnf(s129,plain,
    ( ~ spl0_53
    | spl0_119 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s130,plain,
    ( ~ spl0_53
    | spl0_120 ),
    inference(sat_conversion,[],[f909]) ).

cnf(s131,plain,
    ( ~ spl0_53
    | spl0_121 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s132,plain,
    ( ~ spl0_2
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s133,plain,
    ( ~ spl0_56
    | spl0_122 ),
    inference(sat_conversion,[],[f920]) ).

cnf(s135,plain,
    ( ~ spl0_56
    | spl0_124 ),
    inference(sat_conversion,[],[f930]) ).

cnf(s153,plain,
    ( spl0_5
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s154,plain,
    ( spl0_5
    | spl0_141 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s155,plain,
    ( spl0_5
    | spl0_142 ),
    inference(sat_conversion,[],[f1022]) ).

cnf(s157,plain,
    ( ~ spl0_6
    | spl0_143 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s158,plain,
    ( ~ spl0_6
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s159,plain,
    ( ~ spl0_6
    | spl0_145 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s165,plain,
    ( ~ spl0_149
    | spl0_150 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s166,plain,
    ( ~ spl0_149
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1069]) ).

cnf(s167,plain,
    ( ~ spl0_149
    | spl0_152 ),
    inference(sat_conversion,[],[f1074]) ).

cnf(s168,plain,
    ( ~ spl0_2
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1075]) ).

cnf(s170,plain,
    ( spl0_40
    | ~ spl0_51
    | ~ spl0_52 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s172,plain,
    ( spl0_14
    | ~ spl0_29
    | spl0_43 ),
    inference(sat_conversion,[],[f1079]) ).

cnf(s173,plain,
    ( spl0_9
    | spl0_53
    | spl0_149 ),
    inference(sat_conversion,[],[f1080]) ).

cnf(s174,plain,
    ( spl0_15
    | ~ spl0_26
    | spl0_53 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s175,plain,
    ( spl0_43
    | ~ spl0_48
    | spl0_56 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s176,plain,
    ( spl0_38
    | ~ spl0_39
    | spl0_43 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s177,plain,
    ( ~ spl0_12
    | spl0_15
    | spl0_43 ),
    inference(sat_conversion,[],[f1084]) ).

cnf(s183,plain,
    ( ~ spl0_19
    | ~ spl0_28
    | spl0_107
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s196,plain,
    ( ~ spl0_23
    | ~ spl0_89
    | ~ spl0_90
    | spl0_153 ),
    inference(sat_conversion,[],[f1185]) ).

cnf(s197,plain,
    ( ~ spl0_23
    | ~ spl0_30
    | ~ spl0_89
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f1186]) ).

cnf(s215,plain,
    ( ~ spl0_23
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_122
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s233,plain,
    ( ~ spl0_4
    | spl0_68
    | spl0_69
    | spl0_70 ),
    inference(sat_conversion,[],[f1317]) ).

cnf(s241,plain,
    ( ~ spl0_4
    | ~ spl0_34
    | spl0_110
    | spl0_111 ),
    inference(sat_conversion,[],[f1371]) ).

cnf(s246,plain,
    ( ~ spl0_4
    | ~ spl0_34
    | spl0_59
    | spl0_61 ),
    inference(sat_conversion,[],[f1381]) ).

cnf(s257,plain,
    ( ~ spl0_3
    | spl0_104
    | ~ spl0_105
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f1417]) ).

cnf(s278,plain,
    ( ~ spl0_28
    | ~ spl0_30
    | ~ spl0_45
    | spl0_86
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f1495]) ).

cnf(s279,plain,
    ( ~ spl0_28
    | ~ spl0_30
    | ~ spl0_45
    | spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f1497]) ).

cnf(s281,plain,
    ( ~ spl0_33
    | spl0_104
    | ~ spl0_106
    | spl0_160 ),
    inference(sat_conversion,[],[f1505]) ).

cnf(s308,plain,
    ( ~ spl0_28
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f1638]) ).

cnf(s318,plain,
    ( ~ spl0_11
    | ~ spl0_99
    | ~ spl0_100
    | spl0_158 ),
    inference(sat_conversion,[],[f1645]) ).

cnf(s338,plain,
    ( ~ spl0_24
    | spl0_80
    | spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f1740]) ).

cnf(s344,plain,
    ( ~ spl0_23
    | spl0_104
    | ~ spl0_105
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1750]) ).

cnf(s362,plain,
    ( ~ spl0_1
    | ~ spl0_19
    | ~ spl0_84
    | spl0_85 ),
    inference(sat_conversion,[],[f1822]) ).

cnf(s364,plain,
    ( ~ spl0_11
    | ~ spl0_13
    | spl0_49 ),
    inference(sat_conversion,[],[f1846]) ).

cnf(s377,plain,
    ( ~ spl0_41
    | spl0_98
    | ~ spl0_100
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1889]) ).

cnf(s385,plain,
    ( ~ spl0_8
    | ~ spl0_19
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f1931]) ).

cnf(s389,plain,
    ( ~ spl0_8
    | ~ spl0_89
    | ~ spl0_91
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1943]) ).

cnf(s390,plain,
    ( ~ spl0_8
    | ~ spl0_24
    | spl0_101
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f1945]) ).

cnf(s411,plain,
    ( ~ spl0_31
    | ~ spl0_89
    | ~ spl0_90
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f2005]) ).

cnf(s443,plain,
    ( ~ spl0_37
    | spl0_140
    | ~ spl0_141
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f2103]) ).

cnf(s458,plain,
    ( ~ spl0_32
    | spl0_92
    | spl0_93
    | spl0_94 ),
    inference(sat_conversion,[],[f2173]) ).

cnf(s477,plain,
    ( ~ spl0_27
    | spl0_65
    | spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f2196]) ).

cnf(s529,plain,
    ( ~ spl0_1
    | ~ spl0_84
    | spl0_85
    | spl0_163 ),
    inference(sat_conversion,[],[f2329]) ).

cnf(s532,plain,
    ( ~ spl0_11
    | ~ spl0_143
    | spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2335]) ).

cnf(s555,plain,
    ( ~ spl0_3
    | ~ spl0_150
    | ~ spl0_152
    | spl0_167 ),
    inference(sat_conversion,[],[f2409]) ).

cnf(s581,plain,
    ( ~ spl0_25
    | ~ spl0_150
    | ~ spl0_152
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2508]) ).

cnf(s588,plain,
    ( ~ spl0_28
    | spl0_107
    | ~ spl0_108
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2554]) ).

cnf(s592,plain,
    ( spl0_4
    | ~ spl0_32
    | ~ spl0_41
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f2573]) ).

cnf(s600,plain,
    ( ~ spl0_21
    | ~ spl0_32
    | spl0_93
    | spl0_94 ),
    inference(sat_conversion,[],[f2617]) ).

cnf(s626,plain,
    ( ~ spl0_4
    | spl0_32
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f2671]) ).

cnf(s628,plain,
    ( ~ spl0_4
    | spl0_32
    | ~ spl0_33
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f2672]) ).

cnf(s630,plain,
    ( ~ spl0_4
    | ~ spl0_34
    | spl0_80
    | spl0_81 ),
    inference(sat_conversion,[],[f2673]) ).

cnf(s646,plain,
    ( ~ spl0_19
    | ~ spl0_33
    | spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f2687]) ).

cnf(s669,plain,
    ( ~ spl0_41
    | ~ spl0_119
    | ~ spl0_121
    | spl0_155 ),
    inference(sat_conversion,[],[f2720]) ).

cnf(s722,plain,
    ( ~ spl0_19
    | ~ spl0_108
    | ~ spl0_109
    | spl0_162 ),
    inference(sat_conversion,[],[f2822]) ).

cnf(s739,plain,
    ( ~ spl0_21
    | ~ spl0_32
    | spl0_95
    | spl0_97 ),
    inference(sat_conversion,[],[f2859]) ).

cnf(s783,plain,
    ( ~ spl0_28
    | ~ spl0_30
    | ~ spl0_108
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2959]) ).

cnf(s805,plain,
    ( ~ spl0_31
    | ~ spl0_42
    | ~ spl0_119
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f2978]) ).

cnf(s810,plain,
    ( ~ spl0_8
    | ~ spl0_119
    | ~ spl0_121
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2983]) ).

cnf(s826,plain,
    ( ~ spl0_30
    | ~ spl0_119
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f2997]) ).

cnf(s827,plain,
    ( ~ spl0_30
    | ~ spl0_74
    | ~ spl0_76
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2998]) ).

cnf(s846,plain,
    ( ~ spl0_21
    | spl0_95
    | ~ spl0_96
    | spl0_97 ),
    inference(sat_conversion,[],[f3100]) ).

cnf(s864,plain,
    ( ~ spl0_4
    | ~ spl0_34
    | ~ spl0_47
    | ~ spl0_121
    | spl0_155 ),
    inference(sat_conversion,[],[f3148]) ).

cnf(s872,plain,
    ( ~ spl0_4
    | ~ spl0_34
    | ~ spl0_49
    | spl0_62
    | spl0_64 ),
    inference(sat_conversion,[],[f3172]) ).

cnf(s877,plain,
    ( ~ spl0_4
    | ~ spl0_34
    | ~ spl0_47
    | spl0_98
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f3182]) ).

cnf(s878,plain,
    ( ~ spl0_30
    | ~ spl0_99
    | ~ spl0_100
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f3183]) ).

cnf(s881,plain,
    ( ~ spl0_1
    | ~ spl0_19
    | spl0_104
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f3190]) ).

cnf(s900,plain,
    ( ~ spl0_1
    | ~ spl0_41
    | spl0_98
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f3201]) ).

cnf(s904,plain,
    ( ~ spl0_7
    | spl0_83
    | spl0_85
    | spl0_163 ),
    inference(sat_conversion,[],[f3205]) ).

cnf(s915,plain,
    ( ~ spl0_25
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f3218]) ).

cnf(s938,plain,
    ( ~ spl0_31
    | ~ spl0_105
    | ~ spl0_106
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f3238]) ).

cnf(s976,plain,
    ( ~ spl0_3
    | ~ spl0_90
    | ~ spl0_91
    | spl0_153 ),
    inference(sat_conversion,[],[f3263]) ).

cnf(s979,plain,
    ( ~ spl0_28
    | ~ spl0_30
    | ~ spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f3265]) ).

cnf(s980,plain,
    ( ~ spl0_25
    | ~ spl0_90
    | ~ spl0_91
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f3266]) ).

cnf(s1082,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_34
    | ~ spl0_84
    | spl0_85 ),
    inference(sat_conversion,[],[f3408]) ).

cnf(s1090,plain,
    ( ~ spl0_19
    | ~ spl0_89
    | ~ spl0_91
    | spl0_153 ),
    inference(sat_conversion,[],[f3432]) ).

cnf(s1091,plain,
    ( ~ spl0_19
    | ~ spl0_84
    | spl0_85
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f3433]) ).

cnf(s1098,plain,
    ( ~ spl0_8
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f3444]) ).

cnf(s1110,plain,
    ( ~ spl0_33
    | spl0_151
    | ~ spl0_152
    | spl0_167 ),
    inference(sat_conversion,[],[f3461]) ).

cnf(s1132,plain,
    ( ~ spl0_18
    | spl0_83
    | ~ spl0_84
    | spl0_85 ),
    inference(sat_conversion,[],[f3512]) ).

cnf(s1147,plain,
    ( ~ spl0_21
    | ~ spl0_150
    | spl0_151
    | spl0_167 ),
    inference(sat_conversion,[],[f3553]) ).

cnf(s1148,plain,
    ( ~ spl0_1
    | ~ spl0_24
    | spl0_59
    | ~ spl0_60
    | spl0_61 ),
    inference(sat_conversion,[],[f3554]) ).

cnf(s1152,plain,
    ( ~ spl0_27
    | spl0_107
    | ~ spl0_109
    | spl0_162 ),
    inference(sat_conversion,[],[f3572]) ).

cnf(s1155,plain,
    ( ~ spl0_24
    | ~ spl0_47
    | ~ spl0_103
    | spl0_171 ),
    inference(sat_conversion,[],[f3590]) ).

cnf(s1156,plain,
    ( ~ spl0_24
    | ~ spl0_47
    | spl0_98
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f3592]) ).

cnf(s1157,plain,
    ( ~ spl0_24
    | ~ spl0_47
    | spl0_86
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f3594]) ).

cnf(s1158,plain,
    ( ~ spl0_24
    | ~ spl0_47
    | spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f3596]) ).

cnf(s1171,plain,
    ( ~ spl0_24
    | ~ spl0_46
    | spl0_116
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f3631]) ).

cnf(s1172,plain,
    ( ~ spl0_24
    | ~ spl0_46
    | spl0_113
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f3632]) ).

cnf(s1176,plain,
    ( ~ spl0_24
    | ~ spl0_46
    | spl0_101
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f3636]) ).

cnf(s1187,plain,
    ( ~ spl0_1
    | ~ spl0_74
    | spl0_75
    | spl0_154 ),
    inference(sat_conversion,[],[f3687]) ).

cnf(s1192,plain,
    ( ~ spl0_42
    | ~ spl0_74
    | spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f3696]) ).

cnf(s1199,plain,
    ( ~ spl0_27
    | spl0_83
    | spl0_85
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f3718]) ).

cnf(s1200,plain,
    ( ~ spl0_35
    | spl0_83
    | ~ spl0_84
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f3720]) ).

cnf(s1213,plain,
    ( ~ spl0_42
    | ~ spl0_49
    | spl0_62
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f3765]) ).

cnf(s1319,plain,
    ( ~ spl0_54
    | spl0_77
    | spl0_78
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f3904]) ).

cnf(s1321,plain,
    ( ~ spl0_15
    | ~ spl0_4 ),
    inference(rat,[],[s233,s61,s62,s63]) ).

cnf(s1322,plain,
    ( spl0_34
    | spl0_37
    | spl0_15
    | spl0_2 ),
    inference(rat,[],[s477,s57,s58,s59,s5,s364,s1213,s23,s12,s938,s281,s109,s110,s111,s16,s25,s878,s377,s318,s101,s102,s103,s20,s21,s53,s54,s22]) ).

cnf(s1323,plain,
    ( spl0_44
    | ~ spl0_31
    | ~ spl0_33 ),
    inference(rat,[],[s281,s938,s109,s110,s111]) ).

cnf(s1326,plain,
    ( spl0_36
    | ~ spl0_31 ),
    inference(rat,[],[s411,s89,s90,s91]) ).

cnf(s1328,plain,
    ( ~ spl0_53
    | ~ spl0_30 ),
    inference(rat,[],[s826,s129,s130,s131]) ).

cnf(s1329,plain,
    ( ~ spl0_36
    | ~ spl0_30
    | spl0_47
    | spl0_2 ),
    inference(rat,[],[s979,s106,s107,s38,s30,s1328]) ).

cnf(s1330,plain,
    ( spl0_39
    | ~ spl0_21
    | ~ spl0_32 ),
    inference(rat,[],[s739,s97,s99]) ).

cnf(s1331,plain,
    ( ~ spl0_38
    | ~ spl0_21
    | ~ spl0_32 ),
    inference(rat,[],[s600,s94,s95]) ).

cnf(s1332,plain,
    ( ~ spl0_21
    | ~ spl0_32
    | ~ spl0_8
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s390,s105,s106,s107,s176,s1331,s19,s1330]) ).

cnf(s1333,plain,
    ( ~ spl0_22
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(rat,[],[s630,s77,s78]) ).

cnf(s1334,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_33 ),
    inference(rat,[],[s646,s58,s59]) ).

cnf(s1335,plain,
    ( spl0_26
    | ~ spl0_13
    | ~ spl0_19
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(rat,[],[s1082,s82,s83]) ).

cnf(s1336,plain,
    ( ~ spl0_33
    | ~ spl0_8
    | ~ spl0_34
    | ~ spl0_4
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s385,s114,s115,s31,s864,s810,s129,s131,s174,s1335,s5,s1334,s8,s1332,s628,s1321,s1333]) ).

cnf(s1337,plain,
    ( ~ spl0_91
    | ~ spl0_89
    | ~ spl0_19
    | ~ spl0_8 ),
    inference(rat,[],[s1090,s389]) ).

cnf(s1338,plain,
    ( ~ spl0_40
    | ~ spl0_47
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(rat,[],[s877,s101,s103]) ).

cnf(s1339,plain,
    ( spl0_12
    | ~ spl0_49
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(rat,[],[s872,s53,s55]) ).

cnf(s1340,plain,
    ( ~ spl0_36
    | ~ spl0_30
    | ~ spl0_34
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s979,s106,s107,s177,s1339,s35,s1338,s1329,s38,s1321,s1328]) ).

cnf(s1341,plain,
    ( ~ spl0_8
    | spl0_37
    | ~ spl0_4
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s1090,s389,s89,s91,s1340,s8,s1332,s13,s16,s1336,s1333,s1322,s1321]) ).

cnf(s1342,plain,
    ( ~ spl0_9
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(rat,[],[s246,s49,s51]) ).

cnf(s1343,plain,
    ( ~ spl0_149
    | ~ spl0_25
    | ~ spl0_33 ),
    inference(rat,[],[s581,s1110,s165,s166,s167]) ).

cnf(s1344,plain,
    ( spl0_42
    | ~ spl0_33
    | spl0_9
    | spl0_8
    | spl0_2 ),
    inference(rat,[],[s1323,s23,s25,s669,s915,s1328,s129,s130,s131,s173,s1343,s26]) ).

cnf(s1346,plain,
    ( spl0_17
    | ~ spl0_42 ),
    inference(rat,[],[s1192,s69,s70,s71]) ).

cnf(s1347,plain,
    ( ~ spl0_21
    | ~ spl0_17
    | ~ spl0_32
    | spl0_2 ),
    inference(rat,[],[s308,s105,s106,s107,s176,s39,s1331,s1330]) ).

cnf(s1348,plain,
    ( ~ spl0_50
    | ~ spl0_34
    | ~ spl0_4 ),
    inference(rat,[],[s241,s117,s118]) ).

cnf(s1349,plain,
    ( ~ spl0_33
    | spl0_8
    | ~ spl0_34
    | ~ spl0_4
    | spl0_2 ),
    inference(rat,[],[s1339,s364,s40,s37,s183,s113,s114,s115,s31,s864,s915,s42,s805,s129,s130,s131,s174,s1335,s5,s1334,s8,s1347,s1346,s1344,s628,s1321,s1333,s1342,s1348]) ).

cnf(s1350,plain,
    ( spl0_37
    | ~ spl0_4
    | spl0_3
    | spl0_2 ),
    inference(rat,[],[s8,s1147,s1091,s581,s904,s42,s165,s166,s167,s81,s82,s83,s1326,s173,s174,s1340,s1328,s16,s1349,s3,s1342,s1341,s1333,s1322,s1321]) ).

cnf(s1351,plain,
    ( ~ spl0_5
    | spl0_33
    | ~ spl0_34
    | ~ spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s17,s532,s1339,s157,s158,s159,s32,s2,s1348]) ).

cnf(s1352,plain,
    ( spl0_5
    | ~ spl0_37 ),
    inference(rat,[],[s153,s443,s154,s155]) ).

cnf(s1353,plain,
    ( ~ spl0_33
    | ~ spl0_34
    | spl0_2
    | ~ spl0_4
    | spl0_3 ),
    inference(rat,[],[s1349,s1336]) ).

cnf(s1354,plain,
    ( ~ spl0_34
    | spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1353,s1351,s1352,s1350,s1]) ).

cnf(s1355,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s20,s532,s1354,s157,s158,s159,s2,s1352,s1350,s1321,s1]) ).

cnf(s1356,plain,
    ( spl0_36
    | ~ spl0_8
    | ~ spl0_3 ),
    inference(rat,[],[s976,s389,s89,s90,s91]) ).

cnf(s1357,plain,
    ( ~ spl0_21
    | spl0_30
    | ~ spl0_36
    | ~ spl0_8
    | ~ spl0_32
    | ~ spl0_33
    | spl0_2 ),
    inference(rat,[],[s1323,s23,s25,s669,s810,s129,s131,s38,s308,s105,s106,s107,s1346,s176,s1347,s1331,s1330]) ).

cnf(s1358,plain,
    ( ~ spl0_33
    | ~ spl0_34
    | ~ spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s385,s114,s115,s31,s864,s810,s129,s131,s174,s1335,s5,s1334,s8,s1357,s1340,s1356,s1349,s628,s1321,s1333]) ).

cnf(s1359,plain,
    ( ~ spl0_30
    | ~ spl0_34
    | ~ spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s581,s555,s42,s165,s167,s1356,s1326,s173,s1340,s1328,s1342]) ).

cnf(s1360,plain,
    ( ~ spl0_34
    | ~ spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s16,s1352,s1359,s1351,s1358,s1355]) ).

cnf(s1361,plain,
    ( ~ spl0_4
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s532,s157,s158,s159,s2,s1352,s20,s1322,s1360,s1321]) ).

cnf(s1362,plain,
    ( ~ spl0_43
    | ~ spl0_28
    | ~ spl0_30 ),
    inference(rat,[],[s979,s106,s107]) ).

cnf(s1363,plain,
    ( ~ spl0_21
    | spl0_43
    | ~ spl0_32 ),
    inference(rat,[],[s176,s1331,s1330]) ).

cnf(s1364,plain,
    ( ~ spl0_22
    | ~ spl0_28
    | ~ spl0_47
    | ~ spl0_30
    | spl0_2 ),
    inference(rat,[],[s27,s1158,s279,s78,s79]) ).

cnf(s1365,plain,
    ( ~ spl0_30
    | ~ spl0_32
    | ~ spl0_36
    | ~ spl0_33
    | spl0_2 ),
    inference(rat,[],[s27,s1157,s278,s85,s87,s172,s1334,s8,s1364,s1363,s1362,s38,s1329,s1328]) ).

cnf(s1366,plain,
    ( spl0_44
    | ~ spl0_3 ),
    inference(rat,[],[s257,s109,s110,s111]) ).

cnf(s1367,plain,
    ( ~ spl0_22
    | ~ spl0_24 ),
    inference(rat,[],[s338,s77,s78,s79]) ).

cnf(s1368,plain,
    ( spl0_43
    | spl0_14
    | ~ spl0_24
    | ~ spl0_36
    | spl0_2 ),
    inference(rat,[],[s1157,s85,s87,s172,s30]) ).

cnf(s1369,plain,
    ( ~ spl0_8
    | ~ spl0_33
    | spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s1176,s105,s107,s1368,s1334,s8,s1367,s27,s592,s25,s1357,s1365,s15,s28,s1356,s1366]) ).

cnf(s1370,plain,
    ( spl0_36
    | spl0_8
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s980,s42,s976,s1326,s90,s91]) ).

cnf(s1371,plain,
    ( ~ spl0_43
    | ~ spl0_24
    | ~ spl0_46 ),
    inference(rat,[],[s1176,s105,s107]) ).

cnf(s1372,plain,
    ( ~ spl0_33
    | spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s1334,s8,s1368,s1363,s1371,s1367,s27,s592,s25,s1365,s15,s28,s1370,s1369,s1366]) ).

cnf(s1373,plain,
    ( ~ spl0_40
    | ~ spl0_24
    | ~ spl0_47 ),
    inference(rat,[],[s1156,s101,s103]) ).

cnf(s1374,plain,
    ( spl0_29
    | ~ spl0_24
    | ~ spl0_47 ),
    inference(rat,[],[s1157,s85,s87]) ).

cnf(s1375,plain,
    ( spl0_51
    | ~ spl0_24
    | ~ spl0_46 ),
    inference(rat,[],[s1172,s121,s123]) ).

cnf(s1376,plain,
    ( ~ spl0_24
    | ~ spl0_47
    | ~ spl0_46 ),
    inference(rat,[],[s1171,s125,s127,s170,s1375,s1373]) ).

cnf(s1377,plain,
    ( ~ spl0_56
    | ~ spl0_23
    | ~ spl0_28
    | ~ spl0_30 ),
    inference(rat,[],[s215,s133,s135]) ).

cnf(s1378,plain,
    ( ~ spl0_30
    | ~ spl0_32
    | ~ spl0_46
    | ~ spl0_36
    | ~ spl0_8
    | spl0_2 ),
    inference(rat,[],[s385,s114,s115,s175,s1377,s9,s1376,s8,s1363,s1362,s1364,s38,s1329,s1328]) ).

cnf(s1379,plain,
    ( ~ spl0_8
    | spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s458,s93,s94,s95,s18,s1352,s16,s1378,s15,s28,s1356,s1372]) ).

cnf(s1380,plain,
    ( ~ spl0_30
    | ~ spl0_32
    | ~ spl0_46
    | ~ spl0_36
    | spl0_2 ),
    inference(rat,[],[s783,s722,s114,s115,s175,s1377,s9,s8,s1363,s1362,s1376,s1364,s38,s1329,s1328]) ).

cnf(s1381,plain,
    ( spl0_4
    | spl0_2
    | ~ spl0_3 ),
    inference(rat,[],[s458,s93,s94,s95,s18,s1352,s16,s1380,s15,s28,s1370,s1379,s1372]) ).

cnf(s1382,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s1381,s1361,s1355]) ).

cnf(s1383,plain,
    ~ spl0_2,
    inference(rat,[],[s173,s52,s132,s168]) ).

cnf(s1384,plain,
    spl0_1,
    inference(rat,[],[s1382,s1383]) ).

cnf(s1385,plain,
    ( ~ spl0_38
    | ~ spl0_32 ),
    inference(rat,[],[s458,s93,s94,s95]) ).

cnf(s1386,plain,
    ( spl0_33
    | spl0_38
    | spl0_30 ),
    inference(rat,[],[s1352,s18,s16,s1383]) ).

cnf(s1387,plain,
    ( ~ spl0_24
    | ~ spl0_46
    | ~ spl0_36 ),
    inference(rat,[],[s30,s1376,s1371,s1383]) ).

cnf(s1388,plain,
    ( ~ spl0_36
    | ~ spl0_8
    | spl0_4 ),
    inference(rat,[],[s344,s281,s109,s110,s111,s25,s592,s9,s27,s1387,s1386,s1385,s1380,s1332,s15,s28,s1381,s1383]) ).

cnf(s1389,plain,
    ( spl0_21
    | spl0_23
    | spl0_19 ),
    inference(rat,[],[s1367,s9,s8,s1383]) ).

cnf(s1390,plain,
    ( spl0_39
    | ~ spl0_21 ),
    inference(rat,[],[s846,s97,s98,s99]) ).

cnf(s1391,plain,
    ( spl0_17
    | ~ spl0_30 ),
    inference(rat,[],[s827,s1187,s69,s70,s71,s1384]) ).

cnf(s1395,plain,
    ( spl0_26
    | ~ spl0_17
    | spl0_19 ),
    inference(rat,[],[s1319,s73,s74,s75,s41,s7,s1200,s1132,s529,s81,s82,s83,s1383,s1384]) ).

cnf(s1396,plain,
    ( ~ spl0_9
    | ~ spl0_24 ),
    inference(rat,[],[s1148,s49,s50,s51,s1384]) ).

cnf(s1397,plain,
    ( ~ spl0_30
    | spl0_9
    | ~ spl0_33
    | spl0_23
    | spl0_19 ),
    inference(rat,[],[s10,s1343,s1395,s173,s1391,s1328,s1383]) ).

cnf(s1398,plain,
    ( spl0_26
    | ~ spl0_27 ),
    inference(rat,[],[s1199,s529,s81,s82,s83,s1384]) ).

cnf(s1399,plain,
    ( spl0_48
    | ~ spl0_28
    | ~ spl0_27 ),
    inference(rat,[],[s588,s1152,s113,s114,s115]) ).

cnf(s1400,plain,
    ( ~ spl0_14
    | ~ spl0_27 ),
    inference(rat,[],[s477,s57,s58,s59]) ).

cnf(s1401,plain,
    ( ~ spl0_8
    | spl0_4 ),
    inference(rat,[],[s1098,s1155,s106,s107,s172,s1400,s1374,s31,s1399,s39,s1346,s23,s669,s915,s129,s130,s131,s173,s1343,s10,s1398,s12,s1397,s1396,s19,s1390,s13,s1332,s1389,s196,s389,s1337,s1326,s89,s90,s91,s1388,s1381,s1383]) ).

cnf(s1402,plain,
    ( ~ spl0_36
    | ~ spl0_30
    | spl0_4 ),
    inference(rat,[],[s1380,s15,s28,s1383]) ).

cnf(s1403,plain,
    ( ~ spl0_30
    | spl0_4 ),
    inference(rat,[],[s1396,s1397,s19,s13,s1390,s1347,s1389,s1090,s980,s42,s197,s1326,s89,s90,s91,s1402,s1391,s1381,s1401,s1383]) ).

cnf(s1404,plain,
    ( ~ spl0_36
    | spl0_4 ),
    inference(rat,[],[s344,s281,s109,s110,s111,s9,s25,s1330,s592,s1386,s19,s27,s1385,s1387,s15,s28,s1381,s1403,s1383]) ).

cnf(s1405,plain,
    ( spl0_33
    | spl0_4 ),
    inference(rat,[],[s1385,s1386,s13,s1381,s1403,s1383]) ).

cnf(s1406,plain,
    spl0_4,
    inference(rat,[],[s308,s105,s106,s107,s172,s1374,s31,s1399,s39,s1346,s1344,s1405,s1396,s19,s1390,s1389,s196,s1090,s1400,s1398,s980,s12,s42,s1326,s89,s90,s91,s1404,s1403,s1401,s1381,s1383]) ).

cnf(s1407,plain,
    ~ spl0_15,
    inference(rat,[],[s1321,s1406]) ).

cnf(s1408,plain,
    ~ spl0_30,
    inference(rat,[],[s362,s1395,s82,s83,s174,s1391,s1328,s1384,s1407]) ).

cnf(s1409,plain,
    ( ~ spl0_34
    | ~ spl0_5 ),
    inference(rat,[],[s308,s105,s106,s107,s40,s177,s1339,s32,s1348,s1383,s1407,s1406]) ).

cnf(s1410,plain,
    ( spl0_34
    | ~ spl0_41 ),
    inference(rat,[],[s900,s318,s101,s102,s103,s20,s21,s1384,s1383,s1407]) ).

cnf(s1411,plain,
    ( ~ spl0_34
    | ~ spl0_3 ),
    inference(rat,[],[s1352,s16,s1409,s1358,s1406,s1408,s1383]) ).

cnf(s1412,plain,
    ~ spl0_3,
    inference(rat,[],[s1411,s1410,s25,s1366,s1383,s1408]) ).

cnf(s1413,plain,
    spl0_37,
    inference(rat,[],[s1350,s1383,s1406,s1412]) ).

cnf(s1414,plain,
    spl0_5,
    inference(rat,[],[s1352,s1413]) ).

cnf(s1415,plain,
    ~ spl0_34,
    inference(rat,[],[s1409,s1414]) ).

cnf(s1419,plain,
    ~ spl0_41,
    inference(rat,[],[s1410,s1415]) ).

cnf(s1426,plain,
    ~ spl0_44,
    inference(rat,[],[s25,s1408,s1383,s1419]) ).

cnf(s1428,plain,
    spl0_106,
    inference(rat,[],[s111,s1426]) ).

cnf(s1429,plain,
    spl0_105,
    inference(rat,[],[s110,s1426]) ).

cnf(s1430,plain,
    ~ spl0_104,
    inference(rat,[],[s109,s1426]) ).

cnf(s1431,plain,
    spl0_33,
    inference(rat,[],[s1385,s1386,s13,s1408,s1383,s1412]) ).

cnf(s1432,plain,
    spl0_32,
    inference(rat,[],[s626,s1406,s1431]) ).

cnf(s1433,plain,
    ~ spl0_31,
    inference(rat,[],[s1323,s1426,s1431]) ).

cnf(s1434,plain,
    spl0_160,
    inference(rat,[],[s281,s1428,s1430,s1431]) ).

cnf(s1437,plain,
    spl0_42,
    inference(rat,[],[s23,s1419,s1383,s1433]) ).

cnf(s1438,plain,
    ~ spl0_23,
    inference(rat,[],[s344,s1430,s1429,s1434]) ).

cnf(s1439,plain,
    ~ spl0_19,
    inference(rat,[],[s881,s1430,s1384,s1434]) ).

cnf(s1442,plain,
    spl0_17,
    inference(rat,[],[s1346,s1437]) ).

cnf(s1444,plain,
    spl0_21,
    inference(rat,[],[s1389,s1439,s1438]) ).

cnf(s1448,plain,
    $false,
    inference(rat,[],[s1347,s1383,s1432,s1442,s1444]) ).

fof(f3906,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1448]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN454+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.16  % Computer : n020.cluster.edu
% 0.08/0.16  % Model    : x86_64 x86_64
% 0.08/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16  % Memory   : 8046.5625MB
% 0.08/0.16  % OS       : Linux 6.8.0-71-generic
% 0.08/0.16  % CPULimit : 300
% 0.08/0.16  % WCLimit  : 300
% 0.08/0.16  % DateTime : Mon Sep 28 16:06:04 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  Running first-order model finding
% 0.08/0.19  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.27  % (275509)Will run a generic schedule for satisfiability detection.
% 0.43/0.27  % (275515)% WARNING: option uhcvi not known.
% 0.43/0.27  % (275514)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2677957315_2999 on theBenchmark for (2999ds/0Mi)
% 0.43/0.27  % (275517)dis+10_1_sil=32000:sp=arity:random_seed=3920828719:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.43/0.27  % (275516)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=728990038:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.43/0.27  % (275518)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3171702103:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.43/0.27  % (275515)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=355840749:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.43/0.27  % (275519)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=177243520:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.43/0.27  % (275520)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4022646739:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.43/0.27  % Detected minimum model sizes of [1]
% 0.43/0.27  % Detected maximum model sizes of [30]
% 0.43/0.27  % TRYING [1]
% 0.43/0.27  % TRYING [2]
% 0.43/0.27  % TRYING [3]
% 0.43/0.27  % TRYING [4]
% 0.43/0.27  % TRYING [5]
% 0.43/0.27  % (275520) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-275509-275520"...
% 0.43/0.27  % (275515) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-275509-275515"...
% 0.43/0.27  % (275515)...printing done.
% 0.43/0.27  % (275515)Refutation found. Thanks to Tanya!
% 0.43/0.27  % SZS status Theorem for theBenchmark
% 0.43/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.43/0.28  % (275515)------------------------------
% 0.43/0.28  % (275515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.28  % (275515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.28  % (275515)CaDiCaL version: 2.1.3
% 0.43/0.28  % (275515)Termination reason: Refutation
% 0.43/0.28  % (275515)Time elapsed: 0.035 s
% 0.43/0.28  % (275515)Peak memory usage: 14 MB
% 0.43/0.28  % (275515)Instructions burned: 98 (million)
% 0.43/0.28  % (275509)Success in time 0.069 s
% 0.43/0.28  % Vampire exiting
%------------------------------------------------------------------------------