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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN466+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 02:09:53 PM UTC 2026

% Result   : Theorem 0.47s 0.30s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :  129
% Syntax   : Number of formulae    :  933 (  34 unt; 128 def)
%            Number of atoms       : 6548 (   0 equ)
%            Maximal formula atoms :  673 (   7 avg)
%            Number of connectives : 8489 (2874   ~;4200   |; 975   &)
%                                         ( 128 <=>; 312  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  166 ( 165 usr; 162 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  765 (   0 sgn 765   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a101)
          & c3_1(a101)
          & ~ c0_1(a101) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a102)
          & ~ c0_1(a102)
          & ~ c1_1(a102) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a103)
          & c1_1(a103)
          & ~ c3_1(a103) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a104)
          & c2_1(a104)
          & ~ c1_1(a104) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c2_1(a105)
          & c3_1(a105)
          & ~ c1_1(a105) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a106)
          & c1_1(a106)
          & ~ c2_1(a106) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a107)
          & c2_1(a107)
          & ~ c0_1(a107) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a108)
          & c3_1(a108)
          & ~ c0_1(a108) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a109)
          & ~ c0_1(a109)
          & ~ c3_1(a109) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a110)
          & ~ c1_1(a110)
          & ~ c3_1(a110) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c0_1(a111)
          & ~ c2_1(a111)
          & ~ c3_1(a111) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a112)
          & ~ c2_1(a112)
          & ~ c3_1(a112) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a113)
          & ~ c0_1(a113)
          & ~ c2_1(a113) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a114)
          & c2_1(a114)
          & ~ c3_1(a114) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a116)
          & c2_1(a116)
          & ~ c3_1(a116) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a117)
          & c3_1(a117)
          & ~ c1_1(a117) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a126)
          & c3_1(a126)
          & ~ c2_1(a126) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a132)
          & ~ c0_1(a132)
          & ~ c1_1(a132) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a134)
          & c3_1(a134)
          & ~ c2_1(a134) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a135)
          & ~ c2_1(a135)
          & ~ c3_1(a135) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a139)
          & ~ c1_1(a139)
          & ~ c3_1(a139) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a143)
          & ~ c1_1(a143)
          & ~ c2_1(a143) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a145)
          & ~ c1_1(a145)
          & ~ c2_1(a145) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c0_1(a153)
          & ~ c1_1(a153)
          & ~ c3_1(a153) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c1_1(a163)
          & ~ c2_1(a163)
          & ~ c3_1(a163) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a167)
          & ~ c0_1(a167)
          & ~ c2_1(a167) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a187)
          & ~ c1_1(a187)
          & ~ c2_1(a187) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c2_1(a196)
          & ~ c0_1(a196)
          & ~ c3_1(a196) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a118)
          & c2_1(a118)
          & c3_1(a118) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a128)
          & c1_1(a128)
          & c2_1(a128) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a131)
          & c2_1(a131)
          & c3_1(a131) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a141)
          & c1_1(a141)
          & c3_1(a141) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | ~ c2_1(X2)
              | ~ c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | ~ c3_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | ~ c2_1(X6)
              | ~ c3_1(X6) ) )
        | hskp1 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | ~ c1_1(X8)
              | ~ c3_1(X8) ) )
        | hskp2 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c2_1(X9) ) )
        | hskp3
        | hskp4 )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c3_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | ~ c0_1(X12)
              | ~ c2_1(X12) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | c3_1(X13) ) )
        | hskp5 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | hskp6
        | hskp7 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) )
        | hskp8
        | hskp9 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | ~ c2_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | ~ c1_1(X17)
              | ~ c3_1(X17) ) )
        | hskp10 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | ~ c1_1(X20)
              | ~ c3_1(X20) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c2_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c2_1(X23)
              | ~ c0_1(X23)
              | ~ c1_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | c3_1(X25)
              | ~ c1_1(X25) ) )
        | hskp11 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c1_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | ~ c0_1(X27)
              | ~ c2_1(X27) ) )
        | hskp12 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c0_1(X29)
              | ~ c2_1(X29)
              | ~ c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | ~ c2_1(X30)
              | ~ c3_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c0_1(X32)
              | ~ c1_1(X32)
              | ~ c3_1(X32) ) )
        | hskp13 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c2_1(X34)
              | ~ c3_1(X34) ) )
        | hskp6 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c1_1(X36)
              | ~ c0_1(X36)
              | ~ c2_1(X36) ) )
        | hskp14 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c3_1(X37) ) )
        | hskp15
        | hskp28 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c3_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | ~ c0_1(X40)
              | ~ c3_1(X40) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c2_1(X42)
              | c3_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | ~ c1_1(X43)
              | ~ c2_1(X43) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | ~ c1_1(X45)
              | ~ c3_1(X45) ) )
        | hskp8 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c1_1(X46) ) )
        | hskp15
        | hskp10 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | hskp15
        | hskp0 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c1_1(X48)
              | ~ c2_1(X48) ) )
        | hskp2
        | hskp7 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c2_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c2_1(X50)
              | c3_1(X50) ) )
        | hskp16 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c2_1(X51)
              | ~ c3_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | ~ c0_1(X52)
              | ~ c2_1(X52) ) )
        | hskp10 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c2_1(X53)
              | ~ c3_1(X53) ) )
        | hskp29
        | hskp11 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c2_1(X54)
              | c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | c3_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c2_1(X56)
              | ~ c3_1(X56) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | ~ c3_1(X58) ) )
        | hskp16 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | ~ c0_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c3_1(X60)
              | ~ c2_1(X60) ) )
        | hskp30 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c2_1(X61)
              | ~ c0_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c2_1(X62)
              | ~ c0_1(X62)
              | ~ c1_1(X62) ) )
        | hskp17 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c2_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | ~ c1_1(X64)
              | ~ c2_1(X64) ) )
        | hskp7 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c3_1(X65)
              | ~ c0_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | ~ c1_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c3_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c3_1(X69)
              | ~ c1_1(X69)
              | ~ c2_1(X69) ) )
        | hskp18 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c3_1(X70)
              | ~ c2_1(X70) ) )
        | hskp19
        | hskp17 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c3_1(X71)
              | ~ c2_1(X71) ) )
        | hskp28
        | hskp17 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c0_1(X72)
              | ~ c2_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c0_1(X73)
              | ~ c3_1(X73) ) )
        | hskp20 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c0_1(X74)
              | ~ c2_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | ~ c0_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | ~ c0_1(X76)
              | ~ c3_1(X76) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | ~ c0_1(X77)
              | ~ c2_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | ~ c0_1(X78)
              | ~ c2_1(X78) ) )
        | hskp17 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c0_1(X79)
              | ~ c2_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c1_1(X80)
              | ~ c2_1(X80) ) )
        | hskp31 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | ~ c0_1(X81)
              | ~ c2_1(X81) ) )
        | hskp29
        | hskp21 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) )
        | hskp17 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | ~ c0_1(X84)
              | ~ c3_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | ~ c1_1(X85) ) )
        | hskp22 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c0_1(X86)
              | ~ c3_1(X86) ) )
        | hskp31
        | hskp28 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) )
        | hskp15
        | hskp28 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c3_1(X88) ) )
        | hskp28
        | hskp11 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c0_1(X89)
              | ~ c3_1(X89) ) )
        | hskp4
        | hskp23 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) )
        | hskp4
        | hskp10 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c0_1(X91) ) )
        | hskp19
        | hskp8 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c1_1(X92) ) )
        | hskp19 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | ~ c0_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c3_1(X94)
              | ~ c1_1(X94)
              | ~ c2_1(X94) ) )
        | hskp12 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c0_1(X95)
              | ~ c1_1(X95) ) )
        | hskp29
        | hskp4 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | hskp1
        | hskp24 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | hskp6
        | hskp16 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c1_1(X98)
              | ~ c3_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | hskp1 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c3_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | hskp25
        | hskp0 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c1_1(X101)
              | ~ c2_1(X101) ) )
        | hskp13
        | hskp4 )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp19
        | hskp11 )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp25
        | hskp0 )
      & ( hskp31
        | hskp30
        | hskp24 )
      & ( hskp5
        | hskp15
        | hskp13 )
      & ( hskp5
        | hskp16
        | hskp25 )
      & ( hskp5
        | hskp4
        | hskp9 )
      & ( hskp26
        | hskp7
        | hskp0 )
      & ( hskp26
        | hskp11
        | hskp4 )
      & ( hskp25
        | hskp8 )
      & ( hskp25
        | hskp27
        | hskp24 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a101)
            & c3_1(a101)
            & ~ c0_1(a101) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a102)
            & ~ c0_1(a102)
            & ~ c1_1(a102) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a103)
            & c1_1(a103)
            & ~ c3_1(a103) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a104)
            & c2_1(a104)
            & ~ c1_1(a104) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c2_1(a105)
            & c3_1(a105)
            & ~ c1_1(a105) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a106)
            & c1_1(a106)
            & ~ c2_1(a106) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a107)
            & c2_1(a107)
            & ~ c0_1(a107) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a108)
            & c3_1(a108)
            & ~ c0_1(a108) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a109)
            & ~ c0_1(a109)
            & ~ c3_1(a109) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a110)
            & ~ c1_1(a110)
            & ~ c3_1(a110) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c0_1(a111)
            & ~ c2_1(a111)
            & ~ c3_1(a111) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a112)
            & ~ c2_1(a112)
            & ~ c3_1(a112) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a113)
            & ~ c0_1(a113)
            & ~ c2_1(a113) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a114)
            & c2_1(a114)
            & ~ c3_1(a114) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a116)
            & c2_1(a116)
            & ~ c3_1(a116) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a117)
            & c3_1(a117)
            & ~ c1_1(a117) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a126)
            & c3_1(a126)
            & ~ c2_1(a126) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a132)
            & ~ c0_1(a132)
            & ~ c1_1(a132) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a134)
            & c3_1(a134)
            & ~ c2_1(a134) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a135)
            & ~ c2_1(a135)
            & ~ c3_1(a135) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a139)
            & ~ c1_1(a139)
            & ~ c3_1(a139) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a143)
            & ~ c1_1(a143)
            & ~ c2_1(a143) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a145)
            & ~ c1_1(a145)
            & ~ c2_1(a145) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c0_1(a153)
            & ~ c1_1(a153)
            & ~ c3_1(a153) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c1_1(a163)
            & ~ c2_1(a163)
            & ~ c3_1(a163) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a167)
            & ~ c0_1(a167)
            & ~ c2_1(a167) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a187)
            & ~ c1_1(a187)
            & ~ c2_1(a187) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c2_1(a196)
            & ~ c0_1(a196)
            & ~ c3_1(a196) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a118)
            & c2_1(a118)
            & c3_1(a118) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a128)
            & c1_1(a128)
            & c2_1(a128) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a131)
            & c2_1(a131)
            & c3_1(a131) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a141)
            & c1_1(a141)
            & c3_1(a141) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | ~ c2_1(X2)
                | ~ c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | ~ c3_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | ~ c2_1(X6)
                | ~ c3_1(X6) ) )
          | hskp1 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c1_1(X8)
                | ~ c3_1(X8) ) )
          | hskp2 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) )
          | hskp3
          | hskp4 )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c3_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | ~ c0_1(X12)
                | ~ c2_1(X12) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | c3_1(X13) ) )
          | hskp5 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | hskp6
          | hskp7 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | hskp8
          | hskp9 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | ~ c1_1(X17)
                | ~ c3_1(X17) ) )
          | hskp10 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | ~ c1_1(X20)
                | ~ c3_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c2_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c2_1(X23)
                | ~ c0_1(X23)
                | ~ c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c3_1(X25)
                | ~ c1_1(X25) ) )
          | hskp11 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | ~ c0_1(X27)
                | ~ c2_1(X27) ) )
          | hskp12 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | ~ c2_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | ~ c2_1(X30)
                | ~ c3_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | ~ c1_1(X32)
                | ~ c3_1(X32) ) )
          | hskp13 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c2_1(X34)
                | ~ c3_1(X34) ) )
          | hskp6 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | ~ c0_1(X36)
                | ~ c2_1(X36) ) )
          | hskp14 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c3_1(X37) ) )
          | hskp15
          | hskp28 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c3_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c0_1(X40)
                | ~ c3_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c2_1(X42)
                | c3_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c1_1(X43)
                | ~ c2_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | ~ c1_1(X45)
                | ~ c3_1(X45) ) )
          | hskp8 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c1_1(X46) ) )
          | hskp15
          | hskp10 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | hskp15
          | hskp0 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c1_1(X48)
                | ~ c2_1(X48) ) )
          | hskp2
          | hskp7 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c2_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c2_1(X50)
                | c3_1(X50) ) )
          | hskp16 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c2_1(X51)
                | ~ c3_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | ~ c0_1(X52)
                | ~ c2_1(X52) ) )
          | hskp10 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c2_1(X53)
                | ~ c3_1(X53) ) )
          | hskp29
          | hskp11 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c2_1(X54)
                | c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | c3_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c2_1(X56)
                | ~ c3_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | ~ c3_1(X58) ) )
          | hskp16 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c3_1(X60)
                | ~ c2_1(X60) ) )
          | hskp30 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | ~ c0_1(X62)
                | ~ c1_1(X62) ) )
          | hskp17 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c2_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | ~ c1_1(X64)
                | ~ c2_1(X64) ) )
          | hskp7 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c3_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | ~ c1_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c3_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | ~ c1_1(X69)
                | ~ c2_1(X69) ) )
          | hskp18 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c3_1(X70)
                | ~ c2_1(X70) ) )
          | hskp19
          | hskp17 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c3_1(X71)
                | ~ c2_1(X71) ) )
          | hskp28
          | hskp17 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c0_1(X73)
                | ~ c3_1(X73) ) )
          | hskp20 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | ~ c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c0_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c0_1(X76)
                | ~ c3_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | ~ c0_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c0_1(X78)
                | ~ c2_1(X78) ) )
          | hskp17 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c0_1(X79)
                | ~ c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c1_1(X80)
                | ~ c2_1(X80) ) )
          | hskp31 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c0_1(X81)
                | ~ c2_1(X81) ) )
          | hskp29
          | hskp21 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) )
          | hskp17 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | ~ c0_1(X84)
                | ~ c3_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c1_1(X85) ) )
          | hskp22 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | ~ c3_1(X86) ) )
          | hskp31
          | hskp28 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | hskp15
          | hskp28 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c3_1(X88) ) )
          | hskp28
          | hskp11 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c0_1(X89)
                | ~ c3_1(X89) ) )
          | hskp4
          | hskp23 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | hskp4
          | hskp10 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c0_1(X91) ) )
          | hskp19
          | hskp8 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c1_1(X92) ) )
          | hskp19 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | ~ c0_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c1_1(X94)
                | ~ c2_1(X94) ) )
          | hskp12 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c0_1(X95)
                | ~ c1_1(X95) ) )
          | hskp29
          | hskp4 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp1
          | hskp24 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp6
          | hskp16 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c1_1(X98)
                | ~ c3_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp1 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp25
          | hskp0 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c1_1(X101)
                | ~ c2_1(X101) ) )
          | hskp13
          | hskp4 )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp19
          | hskp11 )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp25
          | hskp0 )
        & ( hskp31
          | hskp30
          | hskp24 )
        & ( hskp5
          | hskp15
          | hskp13 )
        & ( hskp5
          | hskp16
          | hskp25 )
        & ( hskp5
          | hskp4
          | hskp9 )
        & ( hskp26
          | hskp7
          | hskp0 )
        & ( hskp26
          | hskp11
          | hskp4 )
        & ( hskp25
          | hskp8 )
        & ( hskp25
          | hskp27
          | hskp24 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a101)
        & c3_1(a101)
        & ~ c0_1(a101) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a102)
        & ~ c0_1(a102)
        & ~ c1_1(a102) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a103)
        & c1_1(a103)
        & ~ c3_1(a103) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a104)
        & c2_1(a104)
        & ~ c1_1(a104) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a105)
        & c3_1(a105)
        & ~ c1_1(a105) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a106)
        & c1_1(a106)
        & ~ c2_1(a106) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a107)
        & c2_1(a107)
        & ~ c0_1(a107) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a108)
        & c3_1(a108)
        & ~ c0_1(a108) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a109)
        & ~ c0_1(a109)
        & ~ c3_1(a109) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a110)
        & ~ c1_1(a110)
        & ~ c3_1(a110) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a111)
        & ~ c2_1(a111)
        & ~ c3_1(a111) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a112)
        & ~ c2_1(a112)
        & ~ c3_1(a112) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a113)
        & ~ c0_1(a113)
        & ~ c2_1(a113) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a114)
        & c2_1(a114)
        & ~ c3_1(a114) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a116)
        & c2_1(a116)
        & ~ c3_1(a116) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a117)
        & c3_1(a117)
        & ~ c1_1(a117) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a126)
        & c3_1(a126)
        & ~ c2_1(a126) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a132)
        & ~ c0_1(a132)
        & ~ c1_1(a132) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a134)
        & c3_1(a134)
        & ~ c2_1(a134) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a135)
        & ~ c2_1(a135)
        & ~ c3_1(a135) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a139)
        & ~ c1_1(a139)
        & ~ c3_1(a139) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a143)
        & ~ c1_1(a143)
        & ~ c2_1(a143) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a145)
        & ~ c1_1(a145)
        & ~ c2_1(a145) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a153)
        & ~ c1_1(a153)
        & ~ c3_1(a153) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c1_1(a163)
        & ~ c2_1(a163)
        & ~ c3_1(a163) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a167)
        & ~ c0_1(a167)
        & ~ c2_1(a167) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a187)
        & ~ c1_1(a187)
        & ~ c2_1(a187) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a196)
        & ~ c0_1(a196)
        & ~ c3_1(a196) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a118)
        & c2_1(a118)
        & c3_1(a118) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a128)
        & c1_1(a128)
        & c2_1(a128) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a131)
        & c2_1(a131)
        & c3_1(a131) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a141)
        & c1_1(a141)
        & c3_1(a141) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c1_1(X1)
            | ~ c2_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c1_1(X2)
            | ~ c2_1(X2)
            | ~ c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | c1_1(X4)
            | ~ c3_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c2_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | ~ c2_1(X6)
            | ~ c3_1(X6) ) )
      | hskp1 )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c2_1(X8)
            | ~ c1_1(X8)
            | ~ c3_1(X8) ) )
      | hskp2 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c2_1(X9) ) )
      | hskp3
      | hskp4 )
    & ( ! [X10] :
          ( ndr1_0
         => ( c0_1(X10)
            | c1_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c3_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | ~ c0_1(X12)
            | ~ c2_1(X12) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( c0_1(X13)
            | c1_1(X13)
            | c3_1(X13) ) )
      | hskp5 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | c3_1(X14) ) )
      | hskp6
      | hskp7 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | c3_1(X15) ) )
      | hskp8
      | hskp9 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c1_1(X16)
            | ~ c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | ~ c1_1(X17)
            | ~ c3_1(X17) ) )
      | hskp10 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c2_1(X19)
            | ~ c3_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | ~ c1_1(X20)
            | ~ c3_1(X20) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c1_1(X21)
            | ~ c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | c2_1(X22)
            | ~ c0_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c2_1(X23)
            | ~ c0_1(X23)
            | ~ c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c3_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | c3_1(X25)
            | ~ c1_1(X25) ) )
      | hskp11 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c1_1(X26)
            | ~ c3_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | ~ c0_1(X27)
            | ~ c2_1(X27) ) )
      | hskp12 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | ~ c2_1(X29)
            | ~ c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | ~ c2_1(X30)
            | ~ c3_1(X30) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | ~ c1_1(X32)
            | ~ c3_1(X32) ) )
      | hskp13 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c2_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | c2_1(X34)
            | ~ c3_1(X34) ) )
      | hskp6 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c1_1(X36)
            | ~ c0_1(X36)
            | ~ c2_1(X36) ) )
      | hskp14 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c3_1(X37) ) )
      | hskp15
      | hskp28 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c3_1(X38)
            | ~ c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c1_1(X39)
            | c2_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | ~ c0_1(X40)
            | ~ c3_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c3_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c2_1(X42)
            | c3_1(X42)
            | ~ c0_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | ~ c1_1(X43)
            | ~ c2_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | ~ c1_1(X45)
            | ~ c3_1(X45) ) )
      | hskp8 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | c3_1(X46)
            | ~ c1_1(X46) ) )
      | hskp15
      | hskp10 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c3_1(X47)
            | ~ c2_1(X47) ) )
      | hskp15
      | hskp0 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | ~ c1_1(X48)
            | ~ c2_1(X48) ) )
      | hskp2
      | hskp7 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c2_1(X49)
            | ~ c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c1_1(X50)
            | c2_1(X50)
            | c3_1(X50) ) )
      | hskp16 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c2_1(X51)
            | ~ c3_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | ~ c0_1(X52)
            | ~ c2_1(X52) ) )
      | hskp10 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c0_1(X53)
            | ~ c2_1(X53)
            | ~ c3_1(X53) ) )
      | hskp29
      | hskp11 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c2_1(X54)
            | c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c2_1(X55)
            | c3_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | ~ c2_1(X56)
            | ~ c3_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c2_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c2_1(X58)
            | ~ c3_1(X58) ) )
      | hskp16 )
    & ( ! [X59] :
          ( ndr1_0
         => ( c1_1(X59)
            | c2_1(X59)
            | ~ c0_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c3_1(X60)
            | ~ c2_1(X60) ) )
      | hskp30 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c1_1(X61)
            | c2_1(X61)
            | ~ c0_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | ~ c0_1(X62)
            | ~ c1_1(X62) ) )
      | hskp17 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c2_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | ~ c1_1(X64)
            | ~ c2_1(X64) ) )
      | hskp7 )
    & ( ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | c3_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c2_1(X66)
            | ~ c1_1(X66)
            | ~ c3_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | ~ c2_1(X67)
            | ~ c3_1(X67) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | c3_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | ~ c1_1(X69)
            | ~ c2_1(X69) ) )
      | hskp18 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | c3_1(X70)
            | ~ c2_1(X70) ) )
      | hskp19
      | hskp17 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | c3_1(X71)
            | ~ c2_1(X71) ) )
      | hskp28
      | hskp17 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | ~ c0_1(X72)
            | ~ c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c1_1(X73)
            | ~ c0_1(X73)
            | ~ c3_1(X73) ) )
      | hskp20 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c1_1(X74)
            | ~ c0_1(X74)
            | ~ c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | ~ c0_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c2_1(X76)
            | ~ c0_1(X76)
            | ~ c3_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( c1_1(X77)
            | ~ c0_1(X77)
            | ~ c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | ~ c0_1(X78)
            | ~ c2_1(X78) ) )
      | hskp17 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c0_1(X79)
            | ~ c2_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | ~ c1_1(X80)
            | ~ c2_1(X80) ) )
      | hskp31 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c1_1(X81)
            | ~ c0_1(X81)
            | ~ c2_1(X81) ) )
      | hskp29
      | hskp21 )
    & ( ! [X82] :
          ( ndr1_0
         => ( c1_1(X82)
            | ~ c0_1(X82)
            | ~ c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | ~ c2_1(X83)
            | ~ c3_1(X83) ) )
      | hskp17 )
    & ( ! [X84] :
          ( ndr1_0
         => ( c1_1(X84)
            | ~ c0_1(X84)
            | ~ c3_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | ~ c0_1(X85)
            | ~ c1_1(X85) ) )
      | hskp22 )
    & ( ! [X86] :
          ( ndr1_0
         => ( c1_1(X86)
            | ~ c0_1(X86)
            | ~ c3_1(X86) ) )
      | hskp31
      | hskp28 )
    & ( ! [X87] :
          ( ndr1_0
         => ( c1_1(X87)
            | ~ c0_1(X87)
            | ~ c3_1(X87) ) )
      | hskp15
      | hskp28 )
    & ( ! [X88] :
          ( ndr1_0
         => ( c1_1(X88)
            | ~ c0_1(X88)
            | ~ c3_1(X88) ) )
      | hskp28
      | hskp11 )
    & ( ! [X89] :
          ( ndr1_0
         => ( c1_1(X89)
            | ~ c0_1(X89)
            | ~ c3_1(X89) ) )
      | hskp4
      | hskp23 )
    & ( ! [X90] :
          ( ndr1_0
         => ( c1_1(X90)
            | ~ c0_1(X90)
            | ~ c3_1(X90) ) )
      | hskp4
      | hskp10 )
    & ( ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c3_1(X91)
            | ~ c0_1(X91) ) )
      | hskp19
      | hskp8 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | c3_1(X92)
            | ~ c1_1(X92) ) )
      | hskp19 )
    & ( ! [X93] :
          ( ndr1_0
         => ( c2_1(X93)
            | ~ c0_1(X93)
            | ~ c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | ~ c1_1(X94)
            | ~ c2_1(X94) ) )
      | hskp12 )
    & ( ! [X95] :
          ( ndr1_0
         => ( c2_1(X95)
            | ~ c0_1(X95)
            | ~ c1_1(X95) ) )
      | hskp29
      | hskp4 )
    & ( ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | ~ c0_1(X96)
            | ~ c1_1(X96) ) )
      | hskp1
      | hskp24 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c2_1(X97)
            | ~ c0_1(X97)
            | ~ c3_1(X97) ) )
      | hskp6
      | hskp16 )
    & ( ! [X98] :
          ( ndr1_0
         => ( c2_1(X98)
            | ~ c1_1(X98)
            | ~ c3_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | ~ c2_1(X99)
            | ~ c3_1(X99) ) )
      | hskp1 )
    & ( ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | ~ c0_1(X100)
            | ~ c1_1(X100) ) )
      | hskp25
      | hskp0 )
    & ( ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | ~ c1_1(X101)
            | ~ c2_1(X101) ) )
      | hskp13
      | hskp4 )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | ~ c2_1(X102)
            | ~ c3_1(X102) ) )
      | hskp19
      | hskp11 )
    & ( ! [X103] :
          ( ndr1_0
         => ( ~ c1_1(X103)
            | ~ c2_1(X103)
            | ~ c3_1(X103) ) )
      | hskp25
      | hskp0 )
    & ( hskp31
      | hskp30
      | hskp24 )
    & ( hskp5
      | hskp15
      | hskp13 )
    & ( hskp5
      | hskp16
      | hskp25 )
    & ( hskp5
      | hskp4
      | hskp9 )
    & ( hskp26
      | hskp7
      | hskp0 )
    & ( hskp26
      | hskp11
      | hskp4 )
    & ( hskp25
      | hskp8 )
    & ( hskp25
      | hskp27
      | hskp24 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a101)
        & c3_1(a101)
        & ~ c0_1(a101) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a102)
        & ~ c0_1(a102)
        & ~ c1_1(a102) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a103)
        & c1_1(a103)
        & ~ c3_1(a103) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a104)
        & c2_1(a104)
        & ~ c1_1(a104) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a105)
        & c3_1(a105)
        & ~ c1_1(a105) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a106)
        & c1_1(a106)
        & ~ c2_1(a106) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a107)
        & c2_1(a107)
        & ~ c0_1(a107) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a108)
        & c3_1(a108)
        & ~ c0_1(a108) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a109)
        & ~ c0_1(a109)
        & ~ c3_1(a109) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a110)
        & ~ c1_1(a110)
        & ~ c3_1(a110) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a111)
        & ~ c2_1(a111)
        & ~ c3_1(a111) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a112)
        & ~ c2_1(a112)
        & ~ c3_1(a112) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a113)
        & ~ c0_1(a113)
        & ~ c2_1(a113) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a114)
        & c2_1(a114)
        & ~ c3_1(a114) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a116)
        & c2_1(a116)
        & ~ c3_1(a116) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a117)
        & c3_1(a117)
        & ~ c1_1(a117) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a126)
        & c3_1(a126)
        & ~ c2_1(a126) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a132)
        & ~ c0_1(a132)
        & ~ c1_1(a132) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a134)
        & c3_1(a134)
        & ~ c2_1(a134) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a135)
        & ~ c2_1(a135)
        & ~ c3_1(a135) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a139)
        & ~ c1_1(a139)
        & ~ c3_1(a139) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a143)
        & ~ c1_1(a143)
        & ~ c2_1(a143) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a145)
        & ~ c1_1(a145)
        & ~ c2_1(a145) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a153)
        & ~ c1_1(a153)
        & ~ c3_1(a153) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c1_1(a163)
        & ~ c2_1(a163)
        & ~ c3_1(a163) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a167)
        & ~ c0_1(a167)
        & ~ c2_1(a167) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a187)
        & ~ c1_1(a187)
        & ~ c2_1(a187) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a196)
        & ~ c0_1(a196)
        & ~ c3_1(a196) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a118)
        & c2_1(a118)
        & c3_1(a118) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a128)
        & c1_1(a128)
        & c2_1(a128) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a131)
        & c2_1(a131)
        & c3_1(a131) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a141)
        & c1_1(a141)
        & c3_1(a141) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | ~ c1_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c0_1(X11)
          | c3_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c3_1(X12)
          | ~ c0_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c0_1(X20)
          | ~ c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c2_1(X23)
          | ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c1_1(X30)
          | ~ c2_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c1_1(X36)
          | ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp15
      | hskp28 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c0_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | c3_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c1_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | hskp15
      | hskp10 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | ~ c0_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp29
      | hskp11 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c1_1(X60)
          | c3_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c1_1(X68)
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c1_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c3_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | hskp19
      | hskp17 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp28
      | hskp17 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c2_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c3_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp29
      | hskp21 )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X86] :
          ( c1_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp31
      | hskp28 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp15
      | hskp28 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp28
      | hskp11 )
    & ( ! [X89] :
          ( c1_1(X89)
          | ~ c0_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp4
      | hskp23 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp4
      | hskp10 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | hskp19
      | hskp8 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c3_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X93] :
          ( c2_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp29
      | hskp4 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp1
      | hskp24 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp6
      | hskp16 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c1_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp25
      | hskp0 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp13
      | hskp4 )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp19
      | hskp11 )
    & ( ! [X103] :
          ( ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp25
      | hskp0 )
    & ( hskp31
      | hskp30
      | hskp24 )
    & ( hskp5
      | hskp15
      | hskp13 )
    & ( hskp5
      | hskp16
      | hskp25 )
    & ( hskp5
      | hskp4
      | hskp9 )
    & ( hskp26
      | hskp7
      | hskp0 )
    & ( hskp26
      | hskp11
      | hskp4 )
    & ( hskp25
      | hskp8 )
    & ( hskp25
      | hskp27
      | hskp24 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c2_1(a101)
        & c3_1(a101)
        & ~ c0_1(a101) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a102)
        & ~ c0_1(a102)
        & ~ c1_1(a102) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a103)
        & c1_1(a103)
        & ~ c3_1(a103) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a104)
        & c2_1(a104)
        & ~ c1_1(a104) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c2_1(a105)
        & c3_1(a105)
        & ~ c1_1(a105) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a106)
        & c1_1(a106)
        & ~ c2_1(a106) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c1_1(a107)
        & c2_1(a107)
        & ~ c0_1(a107) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a108)
        & c3_1(a108)
        & ~ c0_1(a108) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a109)
        & ~ c0_1(a109)
        & ~ c3_1(a109) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a110)
        & ~ c1_1(a110)
        & ~ c3_1(a110) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a111)
        & ~ c2_1(a111)
        & ~ c3_1(a111) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a112)
        & ~ c2_1(a112)
        & ~ c3_1(a112) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a113)
        & ~ c0_1(a113)
        & ~ c2_1(a113) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a114)
        & c2_1(a114)
        & ~ c3_1(a114) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a116)
        & c2_1(a116)
        & ~ c3_1(a116) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a117)
        & c3_1(a117)
        & ~ c1_1(a117) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a126)
        & c3_1(a126)
        & ~ c2_1(a126) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a132)
        & ~ c0_1(a132)
        & ~ c1_1(a132) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a134)
        & c3_1(a134)
        & ~ c2_1(a134) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a135)
        & ~ c2_1(a135)
        & ~ c3_1(a135) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a139)
        & ~ c1_1(a139)
        & ~ c3_1(a139) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a143)
        & ~ c1_1(a143)
        & ~ c2_1(a143) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a145)
        & ~ c1_1(a145)
        & ~ c2_1(a145) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & ~ c0_1(a153)
        & ~ c1_1(a153)
        & ~ c3_1(a153) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c1_1(a163)
        & ~ c2_1(a163)
        & ~ c3_1(a163) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a167)
        & ~ c0_1(a167)
        & ~ c2_1(a167) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a187)
        & ~ c1_1(a187)
        & ~ c2_1(a187) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c2_1(a196)
        & ~ c0_1(a196)
        & ~ c3_1(a196) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a118)
        & c2_1(a118)
        & c3_1(a118) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a128)
        & c1_1(a128)
        & c2_1(a128) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a131)
        & c2_1(a131)
        & c3_1(a131) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a141)
        & c1_1(a141)
        & c3_1(a141) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c1_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | c1_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | ~ c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c2_1(X8)
          | ~ c1_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | hskp3
      | hskp4 )
    & ( ! [X10] :
          ( c0_1(X10)
          | c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c0_1(X11)
          | c3_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c3_1(X12)
          | ~ c0_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 ) )
    & ( ! [X13] :
          ( c0_1(X13)
          | c1_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X16] :
          ( c0_1(X16)
          | c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c1_1(X17)
          | ~ c3_1(X17)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | c2_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c0_1(X20)
          | ~ c1_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( c0_1(X21)
          | c1_1(X21)
          | ~ c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c2_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c2_1(X23)
          | ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c3_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ c1_1(X25)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X26] :
          ( c0_1(X26)
          | c1_1(X26)
          | ~ c3_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c0_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c1_1(X30)
          | ~ c2_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 ) )
    & ( ! [X31] :
          ( c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( c1_1(X34)
          | c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c1_1(X36)
          | ~ c0_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp15
      | hskp28 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c3_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c1_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c0_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c1_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c2_1(X42)
          | c3_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | ~ c1_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c0_1(X45)
          | ~ c1_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp8 )
    & ( ! [X46] :
          ( c0_1(X46)
          | c3_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 )
      | hskp15
      | hskp10 )
    & ( ! [X47] :
          ( c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp15
      | hskp0 )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp2
      | hskp7 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c2_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c1_1(X50)
          | c2_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | ~ c0_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X53] :
          ( c0_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | hskp29
      | hskp11 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c2_1(X55)
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | ~ c2_1(X56)
          | ~ c3_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X59] :
          ( c1_1(X59)
          | c2_1(X59)
          | ~ c0_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c1_1(X60)
          | c3_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp30 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | ~ c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c2_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c1_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X65] :
          ( c1_1(X65)
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( c2_1(X66)
          | ~ c1_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( c1_1(X68)
          | c3_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | ~ c1_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X70] :
          ( c1_1(X70)
          | c3_1(X70)
          | ~ c2_1(X70)
          | ~ ndr1_0 )
      | hskp19
      | hskp17 )
    & ( ! [X71] :
          ( c1_1(X71)
          | c3_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp28
      | hskp17 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c1_1(X73)
          | ~ c0_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X74] :
          ( c1_1(X74)
          | ~ c0_1(X74)
          | ~ c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( c2_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c2_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( c1_1(X77)
          | ~ c0_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c3_1(X78)
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X79] :
          ( c1_1(X79)
          | ~ c0_1(X79)
          | ~ c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X81] :
          ( c1_1(X81)
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | hskp29
      | hskp21 )
    & ( ! [X82] :
          ( c1_1(X82)
          | ~ c0_1(X82)
          | ~ c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c1_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X84] :
          ( c1_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X86] :
          ( c1_1(X86)
          | ~ c0_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp31
      | hskp28 )
    & ( ! [X87] :
          ( c1_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | hskp15
      | hskp28 )
    & ( ! [X88] :
          ( c1_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88)
          | ~ ndr1_0 )
      | hskp28
      | hskp11 )
    & ( ! [X89] :
          ( c1_1(X89)
          | ~ c0_1(X89)
          | ~ c3_1(X89)
          | ~ ndr1_0 )
      | hskp4
      | hskp23 )
    & ( ! [X90] :
          ( c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90)
          | ~ ndr1_0 )
      | hskp4
      | hskp10 )
    & ( ! [X91] :
          ( c2_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91)
          | ~ ndr1_0 )
      | hskp19
      | hskp8 )
    & ( ! [X92] :
          ( c2_1(X92)
          | c3_1(X92)
          | ~ c1_1(X92)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X93] :
          ( c2_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X95] :
          ( c2_1(X95)
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | hskp29
      | hskp4 )
    & ( ! [X96] :
          ( c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ ndr1_0 )
      | hskp1
      | hskp24 )
    & ( ! [X97] :
          ( c2_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97)
          | ~ ndr1_0 )
      | hskp6
      | hskp16 )
    & ( ! [X98] :
          ( c2_1(X98)
          | ~ c1_1(X98)
          | ~ c3_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X100] :
          ( c3_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100)
          | ~ ndr1_0 )
      | hskp25
      | hskp0 )
    & ( ! [X101] :
          ( c3_1(X101)
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ ndr1_0 )
      | hskp13
      | hskp4 )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102)
          | ~ ndr1_0 )
      | hskp19
      | hskp11 )
    & ( ! [X103] :
          ( ~ c1_1(X103)
          | ~ c2_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0 )
      | hskp25
      | hskp0 )
    & ( hskp31
      | hskp30
      | hskp24 )
    & ( hskp5
      | hskp15
      | hskp13 )
    & ( hskp5
      | hskp16
      | hskp25 )
    & ( hskp5
      | hskp4
      | hskp9 )
    & ( hskp26
      | hskp7
      | hskp0 )
    & ( hskp26
      | hskp11
      | hskp4 )
    & ( hskp25
      | hskp8 )
    & ( hskp25
      | hskp27
      | hskp24 ) ),
    inference(flattening,[],[f4]) ).

fof(f7,plain,
    ( hskp25
    | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp5
    | hskp4
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp5
    | hskp15
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp31
    | hskp30
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X102] :
      ( ~ c0_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ~ ndr1_0
      | hskp19
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X96] :
      ( c2_1(X96)
      | ~ c0_1(X96)
      | ~ c1_1(X96)
      | ~ ndr1_0
      | hskp1
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X95] :
      ( c2_1(X95)
      | ~ c0_1(X95)
      | ~ c1_1(X95)
      | ~ ndr1_0
      | hskp29
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X92] :
      ( c2_1(X92)
      | c3_1(X92)
      | ~ c1_1(X92)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X88] :
      ( c1_1(X88)
      | ~ c0_1(X88)
      | ~ c3_1(X88)
      | ~ ndr1_0
      | hskp28
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X86] :
      ( c1_1(X86)
      | ~ c0_1(X86)
      | ~ c3_1(X86)
      | ~ ndr1_0
      | hskp31
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X81] :
      ( c1_1(X81)
      | ~ c0_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | hskp29
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X80,X79] :
      ( c1_1(X79)
      | ~ c0_1(X79)
      | ~ c2_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | ~ c1_1(X80)
      | ~ c2_1(X80)
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X78,X77] :
      ( c1_1(X77)
      | ~ c0_1(X77)
      | ~ c2_1(X77)
      | ~ ndr1_0
      | c3_1(X78)
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X76,X74,X75] :
      ( c1_1(X74)
      | ~ c0_1(X74)
      | ~ c2_1(X74)
      | ~ ndr1_0
      | c2_1(X75)
      | ~ c0_1(X75)
      | ~ c1_1(X75)
      | ~ ndr1_0
      | c2_1(X76)
      | ~ c0_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X70] :
      ( c1_1(X70)
      | c3_1(X70)
      | ~ c2_1(X70)
      | ~ ndr1_0
      | hskp19
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X68,X69] :
      ( c1_1(X68)
      | c3_1(X68)
      | ~ c0_1(X68)
      | ~ ndr1_0
      | c3_1(X69)
      | ~ c1_1(X69)
      | ~ c2_1(X69)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X65,X66,X67] :
      ( c1_1(X65)
      | c3_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | c2_1(X66)
      | ~ c1_1(X66)
      | ~ c3_1(X66)
      | ~ ndr1_0
      | ~ c0_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X62,X61] :
      ( c1_1(X61)
      | c2_1(X61)
      | ~ c0_1(X61)
      | ~ ndr1_0
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ c1_1(X62)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X59,X60] :
      ( c1_1(X59)
      | c2_1(X59)
      | ~ c0_1(X59)
      | ~ ndr1_0
      | c1_1(X60)
      | c3_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X56,X54,X55] :
      ( c1_1(X54)
      | c2_1(X54)
      | c3_1(X54)
      | ~ ndr1_0
      | c2_1(X55)
      | c3_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ c1_1(X56)
      | ~ c2_1(X56)
      | ~ c3_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X53] :
      ( c0_1(X53)
      | ~ c2_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | hskp29
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X50,X49] :
      ( c0_1(X49)
      | ~ c2_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | c1_1(X50)
      | c2_1(X50)
      | c3_1(X50)
      | ~ ndr1_0
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X47] :
      ( c0_1(X47)
      | c3_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0
      | hskp15
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X46] :
      ( c0_1(X46)
      | c3_1(X46)
      | ~ c1_1(X46)
      | ~ ndr1_0
      | hskp15
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X44,X45] :
      ( c0_1(X44)
      | c3_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0
      | ~ c0_1(X45)
      | ~ c1_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X41,X42,X43] :
      ( c0_1(X41)
      | c3_1(X41)
      | ~ c1_1(X41)
      | ~ ndr1_0
      | c2_1(X42)
      | c3_1(X42)
      | ~ c0_1(X42)
      | ~ ndr1_0
      | c3_1(X43)
      | ~ c1_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X40,X38,X39] :
      ( c0_1(X38)
      | c3_1(X38)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | c1_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c0_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | hskp15
      | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35)
      | ~ ndr1_0
      | c1_1(X36)
      | ~ c0_1(X36)
      | ~ c2_1(X36)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | ~ c1_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X28,X29,X30] :
      ( c0_1(X28)
      | c1_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | ~ c2_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | ~ c1_1(X30)
      | ~ c2_1(X30)
      | ~ c3_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c3_1(X24)
      | ~ ndr1_0
      | c2_1(X25)
      | c3_1(X25)
      | ~ c1_1(X25)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X21,X22,X23] :
      ( c0_1(X21)
      | c1_1(X21)
      | ~ c3_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | c2_1(X22)
      | ~ c0_1(X22)
      | ~ ndr1_0
      | c2_1(X23)
      | ~ c0_1(X23)
      | ~ c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X18,X19,X20] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | c0_1(X19)
      | c2_1(X19)
      | ~ c3_1(X19)
      | ~ ndr1_0
      | ~ c0_1(X20)
      | ~ c1_1(X20)
      | ~ c3_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ! [X16,X17] :
      ( c0_1(X16)
      | c1_1(X16)
      | ~ c2_1(X16)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | ~ c1_1(X17)
      | ~ c3_1(X17)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | c3_1(X15)
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X13] :
      ( c0_1(X13)
      | c1_1(X13)
      | c3_1(X13)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X10,X11,X12] :
      ( c0_1(X10)
      | c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | c0_1(X11)
      | c3_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c3_1(X12)
      | ~ c0_1(X12)
      | ~ c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp31
    | c3_1(a141) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp31
    | c1_1(a141) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp31
    | c0_1(a141) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp30
    | c3_1(a131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp30
    | c2_1(a131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp30
    | c0_1(a131) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp29
    | c2_1(a128) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp29
    | c1_1(a128) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp29
    | c0_1(a128) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp28
    | c3_1(a118) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp28
    | c2_1(a118) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp28
    | c1_1(a118) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp25
    | ~ c2_1(a167) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp25
    | ~ c0_1(a167) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp25
    | c1_1(a167) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp24
    | ~ c3_1(a163) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp24
    | ~ c2_1(a163) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp24
    | ~ c1_1(a163) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp21
    | ~ c2_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp21
    | ~ c1_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp21
    | c3_1(a143) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp19
    | ~ c3_1(a135) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp19
    | ~ c2_1(a135) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp19
    | c0_1(a135) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp18
    | ~ c2_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp18
    | c3_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp18
    | c0_1(a134) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp17
    | ~ c1_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp17
    | ~ c0_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp17
    | c3_1(a132) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp16
    | ~ c2_1(a126) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp16
    | c3_1(a126) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp16
    | c1_1(a126) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp15
    | ~ c1_1(a117) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp15
    | c3_1(a117) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp15
    | c0_1(a117) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp14
    | ~ c3_1(a116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp14
    | c2_1(a116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp14
    | c0_1(a116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp13
    | ~ c3_1(a114) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp13
    | c2_1(a114) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp13
    | c1_1(a114) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp11
    | ~ c3_1(a112) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp11
    | ~ c2_1(a112) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp11
    | c1_1(a112) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp10
    | ~ c3_1(a111) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ hskp10
    | ~ c2_1(a111) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp10
    | ~ c0_1(a111) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ hskp9
    | ~ c3_1(a110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp9
    | ~ c1_1(a110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp9
    | c2_1(a110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp8
    | ~ c3_1(a109) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp8
    | ~ c0_1(a109) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp8
    | c1_1(a109) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp5
    | ~ c2_1(a106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp5
    | c1_1(a106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp5
    | c0_1(a106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp4
    | ~ c1_1(a105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp4
    | c3_1(a105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp4
    | c2_1(a105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp1
    | ~ c1_1(a102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ hskp1
    | ~ c0_1(a102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ hskp1
    | c2_1(a102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ hskp0
    | ~ c0_1(a101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ hskp0
    | c3_1(a101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( ~ hskp0
    | c2_1(a101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ hskp0
    | c0_1(a101) ),
    inference(consistent_polarity_flipping,[],[f198]) ).

fof(f205,plain,
    ( ~ hskp1
    | c0_1(a102) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

fof(f206,plain,
    ( ~ hskp1
    | c1_1(a102) ),
    inference(consistent_polarity_flipping,[],[f194]) ).

fof(f215,plain,
    ( ~ hskp4
    | c1_1(a105) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f217,plain,
    ( hskp5
    | ~ c0_1(a106) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f218,plain,
    ( hskp5
    | ~ c1_1(a106) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f219,plain,
    ( hskp5
    | ~ c2_1(a106) ),
    inference(consistent_polarity_flipping,[],[f178]) ).

fof(f227,plain,
    ( hskp8
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f169]) ).

fof(f228,plain,
    ( hskp8
    | ~ c1_1(a109) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f229,plain,
    ( hskp8
    | c0_1(a109) ),
    inference(consistent_polarity_flipping,[],[f167]) ).

fof(f230,plain,
    ( hskp8
    | ~ c3_1(a109) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f232,plain,
    ( hskp9
    | c2_1(a110) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f233,plain,
    ( hskp9
    | c1_1(a110) ),
    inference(consistent_polarity_flipping,[],[f163]) ).

fof(f234,plain,
    ( hskp9
    | ~ c3_1(a110) ),
    inference(consistent_polarity_flipping,[],[f162]) ).

fof(f236,plain,
    ( hskp10
    | c0_1(a111) ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f237,plain,
    ( hskp10
    | ~ c2_1(a111) ),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f238,plain,
    ( hskp10
    | ~ c3_1(a111) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f240,plain,
    ( ~ hskp11
    | ~ c1_1(a112) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f246,plain,
    ( hskp13
    | ~ c1_1(a114) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f247,plain,
    ( hskp13
    | c2_1(a114) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f248,plain,
    ( hskp13
    | ~ c3_1(a114) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f250,plain,
    ( hskp14
    | ~ c0_1(a116) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f251,plain,
    ( hskp14
    | c2_1(a116) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f252,plain,
    ( hskp14
    | ~ c3_1(a116) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f254,plain,
    ( hskp15
    | ~ c0_1(a117) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f255,plain,
    ( hskp15
    | c3_1(a117) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f256,plain,
    ( hskp15
    | c1_1(a117) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f258,plain,
    ( hskp16
    | ~ c1_1(a126) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f259,plain,
    ( hskp16
    | c3_1(a126) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f260,plain,
    ( hskp16
    | ~ c2_1(a126) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f262,plain,
    ( hskp17
    | c3_1(a132) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f263,plain,
    ( hskp17
    | c0_1(a132) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f264,plain,
    ( hskp17
    | c1_1(a132) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f266,plain,
    ( hskp18
    | ~ c0_1(a134) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f267,plain,
    ( hskp18
    | c3_1(a134) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f268,plain,
    ( hskp18
    | ~ c2_1(a134) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f270,plain,
    ( hskp19
    | ~ c0_1(a135) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f271,plain,
    ( hskp19
    | ~ c2_1(a135) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f272,plain,
    ( hskp19
    | ~ c3_1(a135) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f278,plain,
    ( ~ hskp21
    | c1_1(a143) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f286,plain,
    ( ~ hskp24
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f287,plain,
    ( ~ hskp24
    | c1_1(a163) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f288,plain,
    ( hskp25
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f101]) ).

fof(f289,plain,
    ( hskp25
    | ~ c1_1(a167) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f290,plain,
    ( hskp25
    | c0_1(a167) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f291,plain,
    ( hskp25
    | ~ c2_1(a167) ),
    inference(consistent_polarity_flipping,[],[f98]) ).

fof(f298,plain,
    ( ~ hskp28
    | ~ c1_1(a118) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f300,plain,
    ( hskp29
    | ~ c0_1(a128) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f301,plain,
    ( hskp29
    | ~ c1_1(a128) ),
    inference(consistent_polarity_flipping,[],[f83]) ).

fof(f302,plain,
    ( hskp29
    | c2_1(a128) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f304,plain,
    ( hskp30
    | ~ c0_1(a131) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f305,plain,
    ( hskp30
    | c2_1(a131) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f306,plain,
    ( hskp30
    | c3_1(a131) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f308,plain,
    ( hskp31
    | ~ c0_1(a141) ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f309,plain,
    ( hskp31
    | ~ c1_1(a141) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f310,plain,
    ( hskp31
    | c3_1(a141) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f316,plain,
    ! [X10,X11,X12] :
      ( ~ c0_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ndr1_0
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ c2_1(X11)
      | ndr1_0
      | c3_1(X12)
      | c0_1(X12)
      | ~ c2_1(X12)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f317,plain,
    ! [X13] :
      ( ~ c0_1(X13)
      | ~ c1_1(X13)
      | c3_1(X13)
      | ndr1_0
      | ~ hskp5 ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f319,plain,
    ! [X15] :
      ( ~ c0_1(X15)
      | ~ c1_1(X15)
      | c3_1(X15)
      | ndr1_0
      | ~ hskp8
      | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f320,plain,
    ! [X16,X17] :
      ( ~ c0_1(X16)
      | ~ c1_1(X16)
      | ~ c2_1(X16)
      | ndr1_0
      | c0_1(X17)
      | c1_1(X17)
      | ~ c3_1(X17)
      | ndr1_0
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f321,plain,
    ! [X18,X19,X20] :
      ( ~ c0_1(X18)
      | ~ c1_1(X18)
      | ~ c3_1(X18)
      | ndr1_0
      | ~ c0_1(X19)
      | c2_1(X19)
      | ~ c3_1(X19)
      | ndr1_0
      | c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f322,plain,
    ! [X21,X22,X23] :
      ( ~ c0_1(X21)
      | ~ c1_1(X21)
      | ~ c3_1(X21)
      | ndr1_0
      | ~ c1_1(X22)
      | c2_1(X22)
      | c0_1(X22)
      | ndr1_0
      | c2_1(X23)
      | c0_1(X23)
      | c1_1(X23)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f323,plain,
    ! [X24,X25] :
      ( ~ c0_1(X24)
      | ~ c1_1(X24)
      | ~ c3_1(X24)
      | ndr1_0
      | c2_1(X25)
      | c3_1(X25)
      | c1_1(X25)
      | ndr1_0
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f325,plain,
    ! [X28,X29,X30] :
      ( ~ c0_1(X28)
      | ~ c1_1(X28)
      | ~ c3_1(X28)
      | ndr1_0
      | c0_1(X29)
      | ~ c2_1(X29)
      | ~ c3_1(X29)
      | ndr1_0
      | c1_1(X30)
      | ~ c2_1(X30)
      | ~ c3_1(X30)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f326,plain,
    ! [X31,X32] :
      ( ~ c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ndr1_0
      | c0_1(X32)
      | c1_1(X32)
      | ~ c3_1(X32)
      | ndr1_0
      | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f328,plain,
    ! [X36,X35] :
      ( ~ c0_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35)
      | ndr1_0
      | ~ c1_1(X36)
      | c0_1(X36)
      | ~ c2_1(X36)
      | ndr1_0
      | ~ hskp14 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f329,plain,
    ! [X37] :
      ( ~ c0_1(X37)
      | c2_1(X37)
      | ~ c3_1(X37)
      | ndr1_0
      | ~ hskp15
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f330,plain,
    ! [X40,X38,X39] :
      ( ~ c0_1(X38)
      | c3_1(X38)
      | c1_1(X38)
      | ndr1_0
      | ~ c1_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ndr1_0
      | ~ c1_1(X40)
      | c0_1(X40)
      | ~ c3_1(X40)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f331,plain,
    ! [X41,X42,X43] :
      ( ~ c0_1(X41)
      | c3_1(X41)
      | c1_1(X41)
      | ndr1_0
      | c2_1(X42)
      | c3_1(X42)
      | c0_1(X42)
      | ndr1_0
      | c3_1(X43)
      | c1_1(X43)
      | ~ c2_1(X43)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f332,plain,
    ! [X44,X45] :
      ( ~ c0_1(X44)
      | c3_1(X44)
      | c1_1(X44)
      | ndr1_0
      | c0_1(X45)
      | c1_1(X45)
      | ~ c3_1(X45)
      | ndr1_0
      | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f333,plain,
    ! [X46] :
      ( ~ c0_1(X46)
      | c3_1(X46)
      | c1_1(X46)
      | ndr1_0
      | ~ hskp15
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f334,plain,
    ! [X47] :
      ( ~ c0_1(X47)
      | c3_1(X47)
      | ~ c2_1(X47)
      | ndr1_0
      | ~ hskp15
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f336,plain,
    ! [X50,X49] :
      ( ~ c0_1(X49)
      | ~ c2_1(X49)
      | ~ c3_1(X49)
      | ndr1_0
      | ~ c1_1(X50)
      | c2_1(X50)
      | c3_1(X50)
      | ndr1_0
      | ~ hskp16 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f338,plain,
    ! [X53] :
      ( ~ c0_1(X53)
      | ~ c2_1(X53)
      | ~ c3_1(X53)
      | ndr1_0
      | ~ hskp29
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f339,plain,
    ! [X56,X54,X55] :
      ( ~ c1_1(X54)
      | c2_1(X54)
      | c3_1(X54)
      | ndr1_0
      | c2_1(X55)
      | c3_1(X55)
      | c0_1(X55)
      | ndr1_0
      | c1_1(X56)
      | ~ c2_1(X56)
      | ~ c3_1(X56)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f341,plain,
    ! [X59,X60] :
      ( ~ c1_1(X59)
      | c2_1(X59)
      | c0_1(X59)
      | ndr1_0
      | ~ c1_1(X60)
      | c3_1(X60)
      | ~ c2_1(X60)
      | ndr1_0
      | ~ hskp30 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f342,plain,
    ! [X62,X61] :
      ( ~ c1_1(X61)
      | c2_1(X61)
      | c0_1(X61)
      | ndr1_0
      | c2_1(X62)
      | c0_1(X62)
      | c1_1(X62)
      | ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f344,plain,
    ! [X65,X66,X67] :
      ( ~ c1_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | ndr1_0
      | c2_1(X66)
      | c1_1(X66)
      | ~ c3_1(X66)
      | ndr1_0
      | c0_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f345,plain,
    ! [X68,X69] :
      ( ~ c1_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ndr1_0
      | c3_1(X69)
      | c1_1(X69)
      | ~ c2_1(X69)
      | ndr1_0
      | ~ hskp18 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f346,plain,
    ! [X70] :
      ( ~ c1_1(X70)
      | c3_1(X70)
      | ~ c2_1(X70)
      | ndr1_0
      | ~ hskp19
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f349,plain,
    ! [X76,X74,X75] :
      ( ~ c1_1(X74)
      | c0_1(X74)
      | ~ c2_1(X74)
      | ndr1_0
      | c2_1(X75)
      | c0_1(X75)
      | c1_1(X75)
      | ndr1_0
      | c2_1(X76)
      | c0_1(X76)
      | ~ c3_1(X76)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f350,plain,
    ! [X78,X77] :
      ( ~ c1_1(X77)
      | c0_1(X77)
      | ~ c2_1(X77)
      | ndr1_0
      | c3_1(X78)
      | c0_1(X78)
      | ~ c2_1(X78)
      | ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f351,plain,
    ! [X80,X79] :
      ( ~ c1_1(X79)
      | c0_1(X79)
      | ~ c2_1(X79)
      | ndr1_0
      | c0_1(X80)
      | c1_1(X80)
      | ~ c2_1(X80)
      | ndr1_0
      | ~ hskp31 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f352,plain,
    ! [X81] :
      ( ~ c1_1(X81)
      | c0_1(X81)
      | ~ c2_1(X81)
      | ndr1_0
      | ~ hskp29
      | hskp21 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f355,plain,
    ! [X86] :
      ( ~ c1_1(X86)
      | c0_1(X86)
      | ~ c3_1(X86)
      | ndr1_0
      | ~ hskp31
      | hskp28 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f357,plain,
    ! [X88] :
      ( ~ c1_1(X88)
      | c0_1(X88)
      | ~ c3_1(X88)
      | ndr1_0
      | hskp28
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f361,plain,
    ! [X92] :
      ( c2_1(X92)
      | c3_1(X92)
      | c1_1(X92)
      | ndr1_0
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f363,plain,
    ! [X95] :
      ( c2_1(X95)
      | c0_1(X95)
      | c1_1(X95)
      | ndr1_0
      | ~ hskp29
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f364,plain,
    ! [X96] :
      ( c2_1(X96)
      | c0_1(X96)
      | c1_1(X96)
      | ndr1_0
      | hskp1
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f369,plain,
    ! [X102] :
      ( c0_1(X102)
      | ~ c2_1(X102)
      | ~ c3_1(X102)
      | ndr1_0
      | ~ hskp19
      | hskp11 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f371,plain,
    ( ~ hskp31
    | ~ hskp30
    | hskp24 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f372,plain,
    ( ~ hskp5
    | ~ hskp15
    | ~ hskp13 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f374,plain,
    ( ~ hskp5
    | hskp4
    | ~ hskp9 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f375,plain,
    ( ~ hskp25
    | ~ hskp8 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f381,plain,
    ! [X80,X79] :
      ( ~ c1_1(X79)
      | c0_1(X79)
      | ~ c2_1(X79)
      | ndr1_0
      | c0_1(X80)
      | c1_1(X80)
      | ~ c2_1(X80)
      | ~ hskp31 ),
    inference(duplicate_literal_removal,[],[f351]) ).

fof(f382,plain,
    ! [X78,X77] :
      ( ~ c1_1(X77)
      | c0_1(X77)
      | ~ c2_1(X77)
      | ndr1_0
      | c3_1(X78)
      | c0_1(X78)
      | ~ c2_1(X78)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f350]) ).

fof(f383,plain,
    ! [X76,X74,X75] :
      ( ~ c1_1(X74)
      | c0_1(X74)
      | ~ c2_1(X74)
      | ndr1_0
      | c2_1(X75)
      | c0_1(X75)
      | c1_1(X75)
      | c2_1(X76)
      | c0_1(X76)
      | ~ c3_1(X76) ),
    inference(duplicate_literal_removal,[],[f349]) ).

fof(f385,plain,
    ! [X68,X69] :
      ( ~ c1_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ndr1_0
      | c3_1(X69)
      | c1_1(X69)
      | ~ c2_1(X69)
      | ~ hskp18 ),
    inference(duplicate_literal_removal,[],[f345]) ).

fof(f386,plain,
    ! [X65,X66,X67] :
      ( ~ c1_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | ndr1_0
      | c2_1(X66)
      | c1_1(X66)
      | ~ c3_1(X66)
      | c0_1(X67)
      | ~ c2_1(X67)
      | ~ c3_1(X67) ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f388,plain,
    ! [X62,X61] :
      ( ~ c1_1(X61)
      | c2_1(X61)
      | c0_1(X61)
      | ndr1_0
      | c2_1(X62)
      | c0_1(X62)
      | c1_1(X62)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f342]) ).

fof(f389,plain,
    ! [X59,X60] :
      ( ~ c1_1(X59)
      | c2_1(X59)
      | c0_1(X59)
      | ndr1_0
      | ~ c1_1(X60)
      | c3_1(X60)
      | ~ c2_1(X60)
      | ~ hskp30 ),
    inference(duplicate_literal_removal,[],[f341]) ).

fof(f391,plain,
    ! [X56,X54,X55] :
      ( ~ c1_1(X54)
      | c2_1(X54)
      | c3_1(X54)
      | ndr1_0
      | c2_1(X55)
      | c3_1(X55)
      | c0_1(X55)
      | c1_1(X56)
      | ~ c2_1(X56)
      | ~ c3_1(X56) ),
    inference(duplicate_literal_removal,[],[f339]) ).

fof(f393,plain,
    ! [X50,X49] :
      ( ~ c0_1(X49)
      | ~ c2_1(X49)
      | ~ c3_1(X49)
      | ndr1_0
      | ~ c1_1(X50)
      | c2_1(X50)
      | c3_1(X50)
      | ~ hskp16 ),
    inference(duplicate_literal_removal,[],[f336]) ).

fof(f394,plain,
    ! [X44,X45] :
      ( ~ c0_1(X44)
      | c3_1(X44)
      | c1_1(X44)
      | ndr1_0
      | c0_1(X45)
      | c1_1(X45)
      | ~ c3_1(X45)
      | ~ hskp8 ),
    inference(duplicate_literal_removal,[],[f332]) ).

fof(f395,plain,
    ! [X41,X42,X43] :
      ( ~ c0_1(X41)
      | c3_1(X41)
      | c1_1(X41)
      | ndr1_0
      | c2_1(X42)
      | c3_1(X42)
      | c0_1(X42)
      | c3_1(X43)
      | c1_1(X43)
      | ~ c2_1(X43) ),
    inference(duplicate_literal_removal,[],[f331]) ).

fof(f396,plain,
    ! [X40,X38,X39] :
      ( ~ c0_1(X38)
      | c3_1(X38)
      | c1_1(X38)
      | ndr1_0
      | ~ c1_1(X39)
      | c2_1(X39)
      | ~ c3_1(X39)
      | ~ c1_1(X40)
      | c0_1(X40)
      | ~ c3_1(X40) ),
    inference(duplicate_literal_removal,[],[f330]) ).

fof(f397,plain,
    ! [X36,X35] :
      ( ~ c0_1(X35)
      | c2_1(X35)
      | ~ c3_1(X35)
      | ndr1_0
      | ~ c1_1(X36)
      | c0_1(X36)
      | ~ c2_1(X36)
      | ~ hskp14 ),
    inference(duplicate_literal_removal,[],[f328]) ).

fof(f399,plain,
    ! [X31,X32] :
      ( ~ c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ndr1_0
      | c0_1(X32)
      | c1_1(X32)
      | ~ c3_1(X32)
      | ~ hskp13 ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f400,plain,
    ! [X28,X29,X30] :
      ( ~ c0_1(X28)
      | ~ c1_1(X28)
      | ~ c3_1(X28)
      | ndr1_0
      | c0_1(X29)
      | ~ c2_1(X29)
      | ~ c3_1(X29)
      | c1_1(X30)
      | ~ c2_1(X30)
      | ~ c3_1(X30) ),
    inference(duplicate_literal_removal,[],[f325]) ).

fof(f402,plain,
    ! [X24,X25] :
      ( ~ c0_1(X24)
      | ~ c1_1(X24)
      | ~ c3_1(X24)
      | ndr1_0
      | c2_1(X25)
      | c3_1(X25)
      | c1_1(X25)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f403,plain,
    ! [X21,X22,X23] :
      ( ~ c0_1(X21)
      | ~ c1_1(X21)
      | ~ c3_1(X21)
      | ndr1_0
      | ~ c1_1(X22)
      | c2_1(X22)
      | c0_1(X22)
      | c2_1(X23)
      | c0_1(X23)
      | c1_1(X23) ),
    inference(duplicate_literal_removal,[],[f322]) ).

fof(f404,plain,
    ! [X18,X19,X20] :
      ( ~ c0_1(X18)
      | ~ c1_1(X18)
      | ~ c3_1(X18)
      | ndr1_0
      | ~ c0_1(X19)
      | c2_1(X19)
      | ~ c3_1(X19)
      | c0_1(X20)
      | c1_1(X20)
      | ~ c3_1(X20) ),
    inference(duplicate_literal_removal,[],[f321]) ).

fof(f405,plain,
    ! [X16,X17] :
      ( ~ c0_1(X16)
      | ~ c1_1(X16)
      | ~ c2_1(X16)
      | ndr1_0
      | c0_1(X17)
      | c1_1(X17)
      | ~ c3_1(X17)
      | ~ hskp10 ),
    inference(duplicate_literal_removal,[],[f320]) ).

fof(f406,plain,
    ! [X10,X11,X12] :
      ( ~ c0_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ndr1_0
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ c2_1(X11)
      | c3_1(X12)
      | c0_1(X12)
      | ~ c2_1(X12) ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f412,definition,
    ( spl0_1
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f420,definition,
    ( spl0_3
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f425,definition,
    ( spl0_4
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f428,plain,
    ( ~ spl0_4
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f375,f420,f425]) ).

fof(f430,definition,
    ( spl0_5
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f434,definition,
    ( spl0_6
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f443,definition,
    ( spl0_8
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f452,definition,
    ( spl0_10
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f456,definition,
    ( spl0_11
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f459,plain,
    ( ~ spl0_10
    | spl0_5
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f374,f456,f430,f452]) ).

fof(f461,definition,
    ( spl0_12
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f466,definition,
    ( spl0_13
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f470,definition,
    ( spl0_14
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ spl0_13
    | ~ spl0_14
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f372,f456,f470,f466]) ).

fof(f475,definition,
    ( spl0_15
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f479,definition,
    ( spl0_16
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f482,plain,
    ( spl0_1
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f371,f479,f475,f412]) ).

fof(f484,definition,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f488,definition,
    ( spl0_18
  <=> ! [X103] :
        ( c1_1(X103)
        | ~ c3_1(X103)
        | ~ c2_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f489,plain,
    ( ! [X103] :
        ( c1_1(X103)
        | ~ c3_1(X103)
        | ~ c2_1(X103) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f492,definition,
    ( spl0_19
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f496,definition,
    ( spl0_20
  <=> ! [X102] :
        ( c0_1(X102)
        | ~ c3_1(X102)
        | ~ c2_1(X102) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f497,plain,
    ( ! [X102] :
        ( c0_1(X102)
        | ~ c3_1(X102)
        | ~ c2_1(X102) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f498,plain,
    ( spl0_6
    | ~ spl0_19
    | spl0_17
    | spl0_20 ),
    inference(avatar_split_clause,[],[f369,f496,f484,f492,f434]) ).

fof(f500,definition,
    ( spl0_21
  <=> ! [X101] :
        ( c3_1(X101)
        | ~ c2_1(X101)
        | c1_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X101] :
        ( c1_1(X101)
        | ~ c2_1(X101)
        | c3_1(X101) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f508,definition,
    ( spl0_23
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f512,definition,
    ( spl0_24
  <=> ! [X98] :
        ( c2_1(X98)
        | ~ c3_1(X98)
        | c1_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f513,plain,
    ( ! [X98] :
        ( c1_1(X98)
        | ~ c3_1(X98)
        | c2_1(X98) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f520,definition,
    ( spl0_26
  <=> ! [X97] :
        ( c2_1(X97)
        | ~ c3_1(X97)
        | c0_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f521,plain,
    ( ! [X97] :
        ( c0_1(X97)
        | ~ c3_1(X97)
        | c2_1(X97) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f524,definition,
    ( spl0_27
  <=> ! [X96] :
        ( c2_1(X96)
        | c1_1(X96)
        | c0_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f525,plain,
    ( ! [X96] :
        ( c1_1(X96)
        | c2_1(X96)
        | c0_1(X96) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f526,plain,
    ( spl0_1
    | spl0_23
    | spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f364,f524,f484,f508,f412]) ).

fof(f528,definition,
    ( spl0_28
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f531,plain,
    ( spl0_5
    | ~ spl0_28
    | spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f363,f524,f484,f528,f430]) ).

fof(f538,definition,
    ( spl0_30
  <=> ! [X92] :
        ( c2_1(X92)
        | c1_1(X92)
        | c3_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f539,plain,
    ( ! [X92] :
        ( c1_1(X92)
        | c2_1(X92)
        | c3_1(X92) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f540,plain,
    ( ~ spl0_19
    | spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f361,f538,f484,f492]) ).

fof(f542,definition,
    ( spl0_31
  <=> ! [X91] :
        ( c2_1(X91)
        | c0_1(X91)
        | c3_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f543,plain,
    ( ! [X91] :
        ( c0_1(X91)
        | c2_1(X91)
        | c3_1(X91) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f546,definition,
    ( spl0_32
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f550,definition,
    ( spl0_33
  <=> ! [X90] :
        ( ~ c1_1(X90)
        | ~ c3_1(X90)
        | c0_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f551,plain,
    ( ! [X90] :
        ( ~ c1_1(X90)
        | ~ c3_1(X90)
        | c0_1(X90) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f559,definition,
    ( spl0_35
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f562,plain,
    ( spl0_6
    | spl0_35
    | spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f357,f550,f484,f559,f434]) ).

fof(f564,plain,
    ( spl0_35
    | ~ spl0_16
    | spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f355,f550,f484,f479,f559]) ).

fof(f571,definition,
    ( spl0_37
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f579,definition,
    ( spl0_39
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f583,definition,
    ( spl0_40
  <=> ! [X81] :
        ( ~ c1_1(X81)
        | ~ c2_1(X81)
        | c0_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f584,plain,
    ( ! [X81] :
        ( ~ c1_1(X81)
        | ~ c2_1(X81)
        | c0_1(X81) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f585,plain,
    ( spl0_39
    | ~ spl0_28
    | spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f352,f583,f484,f528,f579]) ).

fof(f587,definition,
    ( spl0_41
  <=> ! [X80] :
        ( c0_1(X80)
        | ~ c2_1(X80)
        | c1_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f588,plain,
    ( ! [X80] :
        ( c1_1(X80)
        | ~ c2_1(X80)
        | c0_1(X80) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f589,plain,
    ( ~ spl0_16
    | spl0_41
    | spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f381,f583,f484,f587,f479]) ).

fof(f591,definition,
    ( spl0_42
  <=> ! [X78] :
        ( c3_1(X78)
        | ~ c2_1(X78)
        | c0_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f592,plain,
    ( ! [X78] :
        ( c0_1(X78)
        | ~ c2_1(X78)
        | c3_1(X78) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f593,plain,
    ( ~ spl0_37
    | spl0_42
    | spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f382,f583,f484,f591,f571]) ).

fof(f594,plain,
    ( spl0_26
    | spl0_27
    | spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f383,f583,f484,f524,f520]) ).

fof(f601,definition,
    ( spl0_44
  <=> ! [X71] :
        ( ~ c1_1(X71)
        | ~ c2_1(X71)
        | c3_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f602,plain,
    ( ! [X71] :
        ( ~ c1_1(X71)
        | ~ c2_1(X71)
        | c3_1(X71) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f604,plain,
    ( ~ spl0_37
    | ~ spl0_19
    | spl0_17
    | spl0_44 ),
    inference(avatar_split_clause,[],[f346,f601,f484,f492,f571]) ).

fof(f606,definition,
    ( spl0_45
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f610,definition,
    ( spl0_46
  <=> ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68)
        | c3_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f611,plain,
    ( ! [X68] :
        ( ~ c1_1(X68)
        | c0_1(X68)
        | c3_1(X68) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f612,plain,
    ( ~ spl0_45
    | spl0_21
    | spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f385,f610,f484,f500,f606]) ).

fof(f613,plain,
    ( spl0_20
    | spl0_24
    | spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f386,f610,f484,f512,f496]) ).

fof(f615,definition,
    ( spl0_47
  <=> ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f616,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | c2_1(X63) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f615]) ).

fof(f618,plain,
    ( ~ spl0_37
    | spl0_27
    | spl0_17
    | spl0_47 ),
    inference(avatar_split_clause,[],[f388,f615,f484,f524,f571]) ).

fof(f619,plain,
    ( ~ spl0_15
    | spl0_44
    | spl0_17
    | spl0_47 ),
    inference(avatar_split_clause,[],[f389,f615,f484,f601,f475]) ).

fof(f621,definition,
    ( spl0_48
  <=> ! [X58] :
        ( ~ c1_1(X58)
        | ~ c3_1(X58)
        | c2_1(X58) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f622,plain,
    ( ! [X58] :
        ( ~ c1_1(X58)
        | ~ c3_1(X58)
        | c2_1(X58) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f621]) ).

fof(f625,definition,
    ( spl0_49
  <=> ! [X54] :
        ( ~ c1_1(X54)
        | c3_1(X54)
        | c2_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f626,plain,
    ( ! [X54] :
        ( ~ c1_1(X54)
        | c3_1(X54)
        | c2_1(X54) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f627,plain,
    ( spl0_18
    | spl0_31
    | spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f391,f625,f484,f542,f488]) ).

fof(f629,definition,
    ( spl0_50
  <=> ! [X53] :
        ( ~ c0_1(X53)
        | ~ c3_1(X53)
        | ~ c2_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f630,plain,
    ( ! [X53] :
        ( ~ c0_1(X53)
        | ~ c3_1(X53)
        | ~ c2_1(X53) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f629]) ).

fof(f631,plain,
    ( spl0_6
    | ~ spl0_28
    | spl0_17
    | spl0_50 ),
    inference(avatar_split_clause,[],[f338,f629,f484,f528,f434]) ).

fof(f633,plain,
    ( ~ spl0_12
    | spl0_49
    | spl0_17
    | spl0_50 ),
    inference(avatar_split_clause,[],[f393,f629,f484,f625,f461]) ).

fof(f643,definition,
    ( spl0_53
  <=> ! [X47] :
        ( ~ c0_1(X47)
        | ~ c2_1(X47)
        | c3_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f644,plain,
    ( ! [X47] :
        ( ~ c0_1(X47)
        | ~ c2_1(X47)
        | c3_1(X47) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f645,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_17
    | spl0_53 ),
    inference(avatar_split_clause,[],[f334,f643,f484,f470,f443]) ).

fof(f647,definition,
    ( spl0_54
  <=> ! [X46] :
        ( ~ c0_1(X46)
        | c1_1(X46)
        | c3_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f648,plain,
    ( ! [X46] :
        ( c1_1(X46)
        | ~ c0_1(X46)
        | c3_1(X46) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f649,plain,
    ( ~ spl0_32
    | ~ spl0_14
    | spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f333,f647,f484,f470,f546]) ).

fof(f651,definition,
    ( spl0_55
  <=> ! [X45] :
        ( c0_1(X45)
        | ~ c3_1(X45)
        | c1_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f652,plain,
    ( ! [X45] :
        ( c1_1(X45)
        | ~ c3_1(X45)
        | c0_1(X45) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f653,plain,
    ( ~ spl0_4
    | spl0_55
    | spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f394,f647,f484,f651,f425]) ).

fof(f654,plain,
    ( spl0_21
    | spl0_31
    | spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f395,f647,f484,f542,f500]) ).

fof(f655,plain,
    ( spl0_33
    | spl0_48
    | spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f396,f647,f484,f621,f550]) ).

fof(f657,definition,
    ( spl0_56
  <=> ! [X37] :
        ( ~ c0_1(X37)
        | ~ c3_1(X37)
        | c2_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f658,plain,
    ( ! [X37] :
        ( ~ c0_1(X37)
        | ~ c3_1(X37)
        | c2_1(X37) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f659,plain,
    ( spl0_35
    | ~ spl0_14
    | spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f329,f657,f484,f470,f559]) ).

fof(f661,definition,
    ( spl0_57
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ spl0_57
    | spl0_40
    | spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f397,f657,f484,f583,f661]) ).

fof(f670,definition,
    ( spl0_59
  <=> ! [X31] :
        ( ~ c0_1(X31)
        | c3_1(X31)
        | c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f671,plain,
    ( ! [X31] :
        ( ~ c0_1(X31)
        | c3_1(X31)
        | c2_1(X31) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f672,plain,
    ( ~ spl0_13
    | spl0_55
    | spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f399,f670,f484,f651,f466]) ).

fof(f674,definition,
    ( spl0_60
  <=> ! [X28] :
        ( ~ c0_1(X28)
        | ~ c3_1(X28)
        | ~ c1_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f675,plain,
    ( ! [X28] :
        ( ~ c1_1(X28)
        | ~ c3_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f676,plain,
    ( spl0_18
    | spl0_20
    | spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f400,f674,f484,f496,f488]) ).

fof(f678,plain,
    ( spl0_6
    | spl0_30
    | spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f402,f674,f484,f538,f434]) ).

fof(f679,plain,
    ( spl0_27
    | spl0_47
    | spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f403,f674,f484,f615,f524]) ).

fof(f680,plain,
    ( spl0_55
    | spl0_56
    | spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f404,f674,f484,f657,f651]) ).

fof(f682,definition,
    ( spl0_61
  <=> ! [X16] :
        ( ~ c0_1(X16)
        | ~ c2_1(X16)
        | ~ c1_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f683,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | ~ c2_1(X16)
        | ~ c0_1(X16) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f684,plain,
    ( ~ spl0_32
    | spl0_55
    | spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f405,f682,f484,f651,f546]) ).

fof(f686,definition,
    ( spl0_62
  <=> ! [X15] :
        ( ~ c0_1(X15)
        | c3_1(X15)
        | ~ c1_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f687,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | c3_1(X15)
        | ~ c0_1(X15) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f686]) ).

fof(f688,plain,
    ( ~ spl0_10
    | ~ spl0_4
    | spl0_17
    | spl0_62 ),
    inference(avatar_split_clause,[],[f319,f686,f484,f425,f452]) ).

fof(f690,plain,
    ( ~ spl0_11
    | spl0_17
    | spl0_62 ),
    inference(avatar_split_clause,[],[f317,f686,f484,f456]) ).

fof(f691,plain,
    ( spl0_42
    | spl0_53
    | spl0_17
    | spl0_62 ),
    inference(avatar_split_clause,[],[f406,f686,f484,f643,f591]) ).

fof(f705,definition,
    ( spl0_65
  <=> c3_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f708,plain,
    ( spl0_65
    | spl0_16 ),
    inference(avatar_split_clause,[],[f310,f479,f705]) ).

fof(f710,definition,
    ( spl0_66
  <=> c1_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f712,plain,
    ( ~ c1_1(a141)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f713,plain,
    ( ~ spl0_66
    | spl0_16 ),
    inference(avatar_split_clause,[],[f309,f479,f710]) ).

fof(f715,definition,
    ( spl0_67
  <=> c0_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f717,plain,
    ( ~ c0_1(a141)
    | spl0_67 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f718,plain,
    ( ~ spl0_67
    | spl0_16 ),
    inference(avatar_split_clause,[],[f308,f479,f715]) ).

fof(f721,definition,
    ( spl0_68
  <=> c3_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f724,plain,
    ( spl0_68
    | spl0_15 ),
    inference(avatar_split_clause,[],[f306,f475,f721]) ).

fof(f726,definition,
    ( spl0_69
  <=> c2_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f729,plain,
    ( spl0_69
    | spl0_15 ),
    inference(avatar_split_clause,[],[f305,f475,f726]) ).

fof(f731,definition,
    ( spl0_70
  <=> c0_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ c0_1(a131)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f734,plain,
    ( ~ spl0_70
    | spl0_15 ),
    inference(avatar_split_clause,[],[f304,f475,f731]) ).

fof(f737,definition,
    ( spl0_71
  <=> c2_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f740,plain,
    ( spl0_71
    | spl0_28 ),
    inference(avatar_split_clause,[],[f302,f528,f737]) ).

fof(f742,definition,
    ( spl0_72
  <=> c1_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f744,plain,
    ( ~ c1_1(a128)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f745,plain,
    ( ~ spl0_72
    | spl0_28 ),
    inference(avatar_split_clause,[],[f301,f528,f742]) ).

fof(f747,definition,
    ( spl0_73
  <=> c0_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ c0_1(a128)
    | spl0_73 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f750,plain,
    ( ~ spl0_73
    | spl0_28 ),
    inference(avatar_split_clause,[],[f300,f528,f747]) ).

fof(f753,definition,
    ( spl0_74
  <=> c3_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f756,plain,
    ( spl0_74
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f86,f559,f753]) ).

fof(f758,definition,
    ( spl0_75
  <=> c2_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f761,plain,
    ( spl0_75
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f87,f559,f758]) ).

fof(f763,definition,
    ( spl0_76
  <=> c1_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f765,plain,
    ( ~ c1_1(a118)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f766,plain,
    ( ~ spl0_76
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f298,f559,f763]) ).

fof(f801,definition,
    ( spl0_83
  <=> c2_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f804,plain,
    ( ~ spl0_83
    | spl0_3 ),
    inference(avatar_split_clause,[],[f291,f420,f801]) ).

fof(f806,definition,
    ( spl0_84
  <=> c0_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f808,plain,
    ( c0_1(a167)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f809,plain,
    ( spl0_84
    | spl0_3 ),
    inference(avatar_split_clause,[],[f290,f420,f806]) ).

fof(f811,definition,
    ( spl0_85
  <=> c1_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f813,plain,
    ( ~ c1_1(a167)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f814,plain,
    ( ~ spl0_85
    | spl0_3 ),
    inference(avatar_split_clause,[],[f289,f420,f811]) ).

fof(f815,plain,
    ( ~ spl0_17
    | spl0_3 ),
    inference(avatar_split_clause,[],[f288,f420,f484]) ).

fof(f817,definition,
    ( spl0_86
  <=> c3_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f820,plain,
    ( ~ spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f102,f412,f817]) ).

fof(f822,definition,
    ( spl0_87
  <=> c2_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f825,plain,
    ( ~ spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f103,f412,f822]) ).

fof(f827,definition,
    ( spl0_88
  <=> c1_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f829,plain,
    ( c1_1(a163)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f830,plain,
    ( spl0_88
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f287,f412,f827]) ).

fof(f831,plain,
    ( ~ spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f286,f412,f484]) ).

fof(f865,definition,
    ( spl0_95
  <=> c2_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f868,plain,
    ( ~ spl0_95
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f114,f579,f865]) ).

fof(f870,definition,
    ( spl0_96
  <=> c1_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f872,plain,
    ( c1_1(a143)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f873,plain,
    ( spl0_96
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f278,f579,f870]) ).

fof(f875,definition,
    ( spl0_97
  <=> c3_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f878,plain,
    ( spl0_97
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f116,f579,f875]) ).

fof(f897,definition,
    ( spl0_101
  <=> c3_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f900,plain,
    ( ~ spl0_101
    | spl0_19 ),
    inference(avatar_split_clause,[],[f272,f492,f897]) ).

fof(f902,definition,
    ( spl0_102
  <=> c2_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ spl0_102
    | spl0_19 ),
    inference(avatar_split_clause,[],[f271,f492,f902]) ).

fof(f907,definition,
    ( spl0_103
  <=> c0_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f909,plain,
    ( ~ c0_1(a135)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f910,plain,
    ( ~ spl0_103
    | spl0_19 ),
    inference(avatar_split_clause,[],[f270,f492,f907]) ).

fof(f913,definition,
    ( spl0_104
  <=> c2_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f916,plain,
    ( ~ spl0_104
    | spl0_45 ),
    inference(avatar_split_clause,[],[f268,f606,f913]) ).

fof(f918,definition,
    ( spl0_105
  <=> c3_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f921,plain,
    ( spl0_105
    | spl0_45 ),
    inference(avatar_split_clause,[],[f267,f606,f918]) ).

fof(f923,definition,
    ( spl0_106
  <=> c0_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ c0_1(a134)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f926,plain,
    ( ~ spl0_106
    | spl0_45 ),
    inference(avatar_split_clause,[],[f266,f606,f923]) ).

fof(f929,definition,
    ( spl0_107
  <=> c1_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f931,plain,
    ( c1_1(a132)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f929]) ).

fof(f932,plain,
    ( spl0_107
    | spl0_37 ),
    inference(avatar_split_clause,[],[f264,f571,f929]) ).

fof(f934,definition,
    ( spl0_108
  <=> c0_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f937,plain,
    ( spl0_108
    | spl0_37 ),
    inference(avatar_split_clause,[],[f263,f571,f934]) ).

fof(f939,definition,
    ( spl0_109
  <=> c3_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f942,plain,
    ( spl0_109
    | spl0_37 ),
    inference(avatar_split_clause,[],[f262,f571,f939]) ).

fof(f945,definition,
    ( spl0_110
  <=> c2_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f948,plain,
    ( ~ spl0_110
    | spl0_12 ),
    inference(avatar_split_clause,[],[f260,f461,f945]) ).

fof(f950,definition,
    ( spl0_111
  <=> c3_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f953,plain,
    ( spl0_111
    | spl0_12 ),
    inference(avatar_split_clause,[],[f259,f461,f950]) ).

fof(f955,definition,
    ( spl0_112
  <=> c1_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f957,plain,
    ( ~ c1_1(a126)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f958,plain,
    ( ~ spl0_112
    | spl0_12 ),
    inference(avatar_split_clause,[],[f258,f461,f955]) ).

fof(f961,definition,
    ( spl0_113
  <=> c1_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f963,plain,
    ( c1_1(a117)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f964,plain,
    ( spl0_113
    | spl0_14 ),
    inference(avatar_split_clause,[],[f256,f470,f961]) ).

fof(f966,definition,
    ( spl0_114
  <=> c3_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f969,plain,
    ( spl0_114
    | spl0_14 ),
    inference(avatar_split_clause,[],[f255,f470,f966]) ).

fof(f971,definition,
    ( spl0_115
  <=> c0_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f973,plain,
    ( ~ c0_1(a117)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f974,plain,
    ( ~ spl0_115
    | spl0_14 ),
    inference(avatar_split_clause,[],[f254,f470,f971]) ).

fof(f977,definition,
    ( spl0_116
  <=> c3_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f980,plain,
    ( ~ spl0_116
    | spl0_57 ),
    inference(avatar_split_clause,[],[f252,f661,f977]) ).

fof(f982,definition,
    ( spl0_117
  <=> c2_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f985,plain,
    ( spl0_117
    | spl0_57 ),
    inference(avatar_split_clause,[],[f251,f661,f982]) ).

fof(f987,definition,
    ( spl0_118
  <=> c0_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f989,plain,
    ( ~ c0_1(a116)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f990,plain,
    ( ~ spl0_118
    | spl0_57 ),
    inference(avatar_split_clause,[],[f250,f661,f987]) ).

fof(f993,definition,
    ( spl0_119
  <=> c3_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f996,plain,
    ( ~ spl0_119
    | spl0_13 ),
    inference(avatar_split_clause,[],[f248,f466,f993]) ).

fof(f998,definition,
    ( spl0_120
  <=> c2_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1001,plain,
    ( spl0_120
    | spl0_13 ),
    inference(avatar_split_clause,[],[f247,f466,f998]) ).

fof(f1003,definition,
    ( spl0_121
  <=> c1_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1005,plain,
    ( ~ c1_1(a114)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f1006,plain,
    ( ~ spl0_121
    | spl0_13 ),
    inference(avatar_split_clause,[],[f246,f466,f1003]) ).

fof(f1025,definition,
    ( spl0_125
  <=> c3_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f1028,plain,
    ( ~ spl0_125
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f154,f434,f1025]) ).

fof(f1030,definition,
    ( spl0_126
  <=> c2_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1033,plain,
    ( ~ spl0_126
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f155,f434,f1030]) ).

fof(f1035,definition,
    ( spl0_127
  <=> c1_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1037,plain,
    ( ~ c1_1(a112)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1038,plain,
    ( ~ spl0_127
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f240,f434,f1035]) ).

fof(f1041,definition,
    ( spl0_128
  <=> c3_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1044,plain,
    ( ~ spl0_128
    | spl0_32 ),
    inference(avatar_split_clause,[],[f238,f546,f1041]) ).

fof(f1046,definition,
    ( spl0_129
  <=> c2_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f1049,plain,
    ( ~ spl0_129
    | spl0_32 ),
    inference(avatar_split_clause,[],[f237,f546,f1046]) ).

fof(f1051,definition,
    ( spl0_130
  <=> c0_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f1053,plain,
    ( c0_1(a111)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f1051]) ).

fof(f1054,plain,
    ( spl0_130
    | spl0_32 ),
    inference(avatar_split_clause,[],[f236,f546,f1051]) ).

fof(f1057,definition,
    ( spl0_131
  <=> c3_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1060,plain,
    ( ~ spl0_131
    | spl0_10 ),
    inference(avatar_split_clause,[],[f234,f452,f1057]) ).

fof(f1062,definition,
    ( spl0_132
  <=> c1_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1064,plain,
    ( c1_1(a110)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f1062]) ).

fof(f1065,plain,
    ( spl0_132
    | spl0_10 ),
    inference(avatar_split_clause,[],[f233,f452,f1062]) ).

fof(f1067,definition,
    ( spl0_133
  <=> c2_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1070,plain,
    ( spl0_133
    | spl0_10 ),
    inference(avatar_split_clause,[],[f232,f452,f1067]) ).

fof(f1073,definition,
    ( spl0_134
  <=> c3_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1076,plain,
    ( ~ spl0_134
    | spl0_4 ),
    inference(avatar_split_clause,[],[f230,f425,f1073]) ).

fof(f1078,definition,
    ( spl0_135
  <=> c0_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1080,plain,
    ( c0_1(a109)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f1081,plain,
    ( spl0_135
    | spl0_4 ),
    inference(avatar_split_clause,[],[f229,f425,f1078]) ).

fof(f1083,definition,
    ( spl0_136
  <=> c1_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f1085,plain,
    ( ~ c1_1(a109)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f1083]) ).

fof(f1086,plain,
    ( ~ spl0_136
    | spl0_4 ),
    inference(avatar_split_clause,[],[f228,f425,f1083]) ).

fof(f1087,plain,
    ( ~ spl0_17
    | spl0_4 ),
    inference(avatar_split_clause,[],[f227,f425,f484]) ).

fof(f1121,definition,
    ( spl0_143
  <=> c2_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1124,plain,
    ( ~ spl0_143
    | spl0_11 ),
    inference(avatar_split_clause,[],[f219,f456,f1121]) ).

fof(f1126,definition,
    ( spl0_144
  <=> c1_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1128,plain,
    ( ~ c1_1(a106)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f1126]) ).

fof(f1129,plain,
    ( ~ spl0_144
    | spl0_11 ),
    inference(avatar_split_clause,[],[f218,f456,f1126]) ).

fof(f1131,definition,
    ( spl0_145
  <=> c0_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1133,plain,
    ( ~ c0_1(a106)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f1131]) ).

fof(f1134,plain,
    ( ~ spl0_145
    | spl0_11 ),
    inference(avatar_split_clause,[],[f217,f456,f1131]) ).

fof(f1137,definition,
    ( spl0_146
  <=> c1_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1139,plain,
    ( c1_1(a105)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f1137]) ).

fof(f1140,plain,
    ( spl0_146
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f215,f430,f1137]) ).

fof(f1142,definition,
    ( spl0_147
  <=> c3_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1145,plain,
    ( spl0_147
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f183,f430,f1142]) ).

fof(f1147,definition,
    ( spl0_148
  <=> c2_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1150,plain,
    ( spl0_148
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f184,f430,f1147]) ).

fof(f1185,definition,
    ( spl0_155
  <=> c1_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1187,plain,
    ( c1_1(a102)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1185]) ).

fof(f1188,plain,
    ( spl0_155
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f206,f508,f1185]) ).

fof(f1190,definition,
    ( spl0_156
  <=> c0_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1192,plain,
    ( c0_1(a102)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1190]) ).

fof(f1193,plain,
    ( spl0_156
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f205,f508,f1190]) ).

fof(f1195,definition,
    ( spl0_157
  <=> c2_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1198,plain,
    ( spl0_157
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f196,f508,f1195]) ).

fof(f1201,definition,
    ( spl0_158
  <=> c0_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1203,plain,
    ( c0_1(a101)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1201]) ).

fof(f1204,plain,
    ( spl0_158
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f203,f443,f1201]) ).

fof(f1206,definition,
    ( spl0_159
  <=> c3_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1209,plain,
    ( spl0_159
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f199,f443,f1206]) ).

fof(f1211,definition,
    ( spl0_160
  <=> c2_1(a101) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1214,plain,
    ( spl0_160
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f200,f443,f1211]) ).

fof(f1237,plain,
    ( ~ c3_1(a131)
    | ~ c2_1(a131)
    | ~ spl0_20
    | spl0_70 ),
    inference(resolution,[],[f497,f733]) ).

fof(f1238,plain,
    ( ~ c3_1(a141)
    | ~ c2_1(a141)
    | ~ spl0_20
    | spl0_67 ),
    inference(resolution,[],[f497,f717]) ).

fof(f1240,definition,
    ( spl0_161
  <=> c2_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1265,plain,
    ( ~ c2_1(a128)
    | c3_1(a128)
    | ~ spl0_21
    | spl0_72 ),
    inference(resolution,[],[f501,f744]) ).

fof(f1283,definition,
    ( spl0_165
  <=> c2_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1288,definition,
    ( spl0_166
  <=> c2_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1306,plain,
    ( ~ c3_1(a106)
    | c2_1(a106)
    | ~ spl0_26
    | spl0_145 ),
    inference(resolution,[],[f521,f1133]) ).

fof(f1313,plain,
    ( ~ c3_1(a117)
    | c2_1(a117)
    | ~ spl0_26
    | spl0_115 ),
    inference(resolution,[],[f521,f973]) ).

fof(f1315,plain,
    ( ~ c3_1(a134)
    | c2_1(a134)
    | ~ spl0_26
    | spl0_106 ),
    inference(resolution,[],[f521,f925]) ).

fof(f1324,plain,
    ( ~ c3_1(a141)
    | c2_1(a141)
    | ~ spl0_26
    | spl0_67 ),
    inference(resolution,[],[f521,f717]) ).

fof(f1327,definition,
    ( spl0_169
  <=> c3_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1347,definition,
    ( spl0_173
  <=> c3_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1357,definition,
    ( spl0_175
  <=> c3_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1381,plain,
    ( ~ c3_1(a167)
    | c2_1(a167)
    | ~ spl0_24
    | spl0_85 ),
    inference(resolution,[],[f513,f813]) ).

fof(f1386,definition,
    ( spl0_176
  <=> c3_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1394,plain,
    ( c2_1(a106)
    | c0_1(a106)
    | ~ spl0_27
    | spl0_144 ),
    inference(resolution,[],[f525,f1128]) ).

fof(f1412,plain,
    ( c2_1(a141)
    | c0_1(a141)
    | ~ spl0_27
    | spl0_66 ),
    inference(resolution,[],[f525,f712]) ).

fof(f1413,plain,
    ( spl0_67
    | spl0_161
    | ~ spl0_27
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1412,f710,f524,f1240,f715]) ).

fof(f1421,definition,
    ( spl0_178
  <=> c0_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1422,plain,
    ( ~ c0_1(a163)
    | spl0_178 ),
    inference(avatar_component_clause,[],[f1421]) ).

fof(f1423,plain,
    ( c0_1(a163)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1421]) ).

fof(f1428,definition,
    ( spl0_179
  <=> c0_1(a143) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1429,plain,
    ( ~ c0_1(a143)
    | spl0_179 ),
    inference(avatar_component_clause,[],[f1428]) ).

fof(f1435,definition,
    ( spl0_180
  <=> c0_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1437,plain,
    ( c0_1(a126)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1435]) ).

fof(f1441,definition,
    ( spl0_181
  <=> c0_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1442,plain,
    ( ~ c0_1(a114)
    | spl0_181 ),
    inference(avatar_component_clause,[],[f1441]) ).

fof(f1451,definition,
    ( spl0_183
  <=> c0_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1453,plain,
    ( c0_1(a110)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1451]) ).

fof(f1460,definition,
    ( spl0_184
  <=> c0_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1462,plain,
    ( c0_1(a105)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1460]) ).

fof(f1468,plain,
    ( spl0_165
    | ~ spl0_114
    | ~ spl0_26
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1313,f971,f520,f966,f1283]) ).

fof(f1476,plain,
    ( ~ c3_1(a143)
    | c2_1(a143)
    | ~ spl0_26
    | spl0_179 ),
    inference(resolution,[],[f1429,f521]) ).

fof(f1484,plain,
    ( ~ c3_1(a117)
    | c0_1(a117)
    | ~ spl0_33
    | ~ spl0_113 ),
    inference(resolution,[],[f551,f963]) ).

fof(f1510,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(resolution,[],[f588,f551]) ).

fof(f1523,plain,
    ( ~ c2_1(a128)
    | c0_1(a128)
    | ~ spl0_41
    | spl0_72 ),
    inference(resolution,[],[f588,f744]) ).

fof(f1524,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1510]) ).

fof(f1532,plain,
    ( spl0_20
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1524,f587,f550,f496]) ).

fof(f1540,plain,
    ( ~ c2_1(a116)
    | c3_1(a116)
    | ~ spl0_42
    | spl0_118 ),
    inference(resolution,[],[f592,f989]) ).

fof(f1554,plain,
    ( ~ c2_1(a128)
    | c3_1(a128)
    | ~ spl0_42
    | spl0_73 ),
    inference(resolution,[],[f592,f749]) ).

fof(f1565,plain,
    ( ~ c2_1(a102)
    | c3_1(a102)
    | ~ spl0_44
    | ~ spl0_155 ),
    inference(resolution,[],[f602,f1187]) ).

fof(f1568,plain,
    ( ~ c2_1(a110)
    | c3_1(a110)
    | ~ spl0_44
    | ~ spl0_132 ),
    inference(resolution,[],[f602,f1064]) ).

fof(f1578,plain,
    ( ~ c2_1(a105)
    | c0_1(a105)
    | ~ spl0_40
    | ~ spl0_146 ),
    inference(resolution,[],[f1139,f584]) ).

fof(f1579,plain,
    ( ~ c3_1(a105)
    | c0_1(a105)
    | ~ spl0_33
    | ~ spl0_146 ),
    inference(resolution,[],[f1139,f551]) ).

fof(f1580,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_27
    | ~ spl0_46 ),
    inference(resolution,[],[f611,f525]) ).

fof(f1594,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_46 ),
    inference(duplicate_literal_removal,[],[f1580]) ).

fof(f1605,plain,
    ( spl0_31
    | ~ spl0_27
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f1594,f610,f524,f542]) ).

fof(f1607,plain,
    ( spl0_104
    | ~ spl0_105
    | ~ spl0_26
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1315,f923,f520,f918,f913]) ).

fof(f1674,plain,
    ( c2_1(a135)
    | c3_1(a135)
    | ~ spl0_31
    | spl0_103 ),
    inference(resolution,[],[f543,f909]) ).

fof(f1677,plain,
    ( c2_1(a163)
    | c3_1(a163)
    | ~ spl0_31
    | spl0_178 ),
    inference(resolution,[],[f543,f1422]) ).

fof(f1684,plain,
    ( spl0_101
    | spl0_102
    | ~ spl0_31
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1674,f907,f542,f902,f897]) ).

fof(f1698,plain,
    ( c2_1(a106)
    | c3_1(a106)
    | ~ spl0_30
    | spl0_144 ),
    inference(resolution,[],[f539,f1128]) ).

fof(f1701,plain,
    ( c2_1(a109)
    | c3_1(a109)
    | ~ spl0_30
    | spl0_136 ),
    inference(resolution,[],[f539,f1085]) ).

fof(f1702,plain,
    ( c2_1(a112)
    | c3_1(a112)
    | ~ spl0_30
    | spl0_127 ),
    inference(resolution,[],[f539,f1037]) ).

fof(f1709,plain,
    ( c2_1(a167)
    | c3_1(a167)
    | ~ spl0_30
    | spl0_85 ),
    inference(resolution,[],[f539,f813]) ).

fof(f1714,plain,
    ( spl0_176
    | spl0_83
    | ~ spl0_30
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1709,f811,f538,f801,f1386]) ).

fof(f1717,plain,
    ( spl0_134
    | spl0_166
    | ~ spl0_30
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1701,f1083,f538,f1288,f1073]) ).

fof(f1720,plain,
    ( spl0_173
    | spl0_143
    | ~ spl0_30
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1698,f1126,f538,f1121,f1347]) ).

fof(f1734,plain,
    ( ~ c3_1(a117)
    | ~ c2_1(a117)
    | ~ spl0_20
    | spl0_115 ),
    inference(resolution,[],[f497,f973]) ).

fof(f1738,plain,
    ( ~ c3_1(a128)
    | ~ c2_1(a128)
    | ~ spl0_20
    | spl0_73 ),
    inference(resolution,[],[f497,f749]) ).

fof(f1745,plain,
    ( c0_1(a110)
    | c3_1(a110)
    | ~ spl0_46
    | ~ spl0_132 ),
    inference(resolution,[],[f611,f1064]) ).

fof(f1791,plain,
    ( c2_1(a126)
    | c0_1(a126)
    | ~ spl0_27
    | spl0_112 ),
    inference(resolution,[],[f957,f525]) ).

fof(f1793,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(resolution,[],[f626,f525]) ).

fof(f1803,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1793]) ).

fof(f1816,plain,
    ( ~ c3_1(a101)
    | ~ c2_1(a101)
    | ~ spl0_50
    | ~ spl0_158 ),
    inference(resolution,[],[f630,f1203]) ).

fof(f1819,plain,
    ( ~ c3_1(a105)
    | ~ c2_1(a105)
    | ~ spl0_50
    | ~ spl0_184 ),
    inference(resolution,[],[f630,f1462]) ).

fof(f1846,plain,
    ( ~ spl0_148
    | ~ spl0_147
    | ~ spl0_50
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f1819,f1460,f629,f1142,f1147]) ).

fof(f1850,plain,
    ( spl0_116
    | ~ spl0_117
    | ~ spl0_42
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1540,f987,f591,f982,f977]) ).

fof(f1854,plain,
    ( spl0_169
    | ~ spl0_71
    | ~ spl0_42
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1554,f747,f591,f737,f1327]) ).

fof(f1892,plain,
    ( ~ c2_1(a102)
    | c3_1(a102)
    | ~ spl0_53
    | ~ spl0_156 ),
    inference(resolution,[],[f644,f1192]) ).

fof(f1898,plain,
    ( ~ c2_1(a109)
    | c3_1(a109)
    | ~ spl0_53
    | ~ spl0_135 ),
    inference(resolution,[],[f644,f1080]) ).

fof(f1899,plain,
    ( ~ c2_1(a110)
    | c3_1(a110)
    | ~ spl0_53
    | ~ spl0_183 ),
    inference(resolution,[],[f644,f1453]) ).

fof(f1931,plain,
    ( ~ c0_1(a109)
    | c3_1(a109)
    | ~ spl0_54
    | spl0_136 ),
    inference(resolution,[],[f648,f1085]) ).

fof(f1950,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_33
    | ~ spl0_55 ),
    inference(resolution,[],[f652,f551]) ).

fof(f1951,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_40
    | ~ spl0_55 ),
    inference(resolution,[],[f652,f584]) ).

fof(f1954,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_47
    | ~ spl0_55 ),
    inference(resolution,[],[f652,f616]) ).

fof(f1955,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_55 ),
    inference(resolution,[],[f652,f622]) ).

fof(f1957,plain,
    ( ~ c3_1(a106)
    | c0_1(a106)
    | ~ spl0_55
    | spl0_144 ),
    inference(resolution,[],[f652,f1128]) ).

fof(f1963,plain,
    ( ~ c3_1(a126)
    | c0_1(a126)
    | ~ spl0_55
    | spl0_112 ),
    inference(resolution,[],[f652,f957]) ).

fof(f1970,plain,
    ( ~ c3_1(a128)
    | c0_1(a128)
    | ~ spl0_55
    | spl0_72 ),
    inference(resolution,[],[f652,f744]) ).

fof(f1971,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f1955]) ).

fof(f1972,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_47
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f1954]) ).

fof(f1974,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_40
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f1951]) ).

fof(f1975,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_33
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f1950]) ).

fof(f1979,plain,
    ( ~ c3_1(a117)
    | ~ spl0_33
    | ~ spl0_55
    | spl0_115 ),
    inference(resolution,[],[f1975,f973]) ).

fof(f2000,plain,
    ( ~ c3_1(a126)
    | c2_1(a126)
    | ~ spl0_56
    | ~ spl0_180 ),
    inference(resolution,[],[f658,f1437]) ).

fof(f2008,plain,
    ( ~ c3_1(a167)
    | c2_1(a167)
    | ~ spl0_56
    | ~ spl0_84 ),
    inference(resolution,[],[f658,f808]) ).

fof(f2029,plain,
    ( ~ spl0_114
    | ~ spl0_33
    | ~ spl0_55
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1979,f971,f651,f550,f966]) ).

fof(f2036,plain,
    ( ~ c3_1(a102)
    | ~ c0_1(a102)
    | ~ spl0_60
    | ~ spl0_155 ),
    inference(resolution,[],[f675,f1187]) ).

fof(f2038,plain,
    ( ~ c3_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_60
    | ~ spl0_146 ),
    inference(resolution,[],[f675,f1139]) ).

fof(f2053,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_30
    | ~ spl0_62 ),
    inference(resolution,[],[f687,f539]) ).

fof(f2055,plain,
    ( c3_1(a102)
    | ~ c0_1(a102)
    | ~ spl0_62
    | ~ spl0_155 ),
    inference(resolution,[],[f687,f1187]) ).

fof(f2059,plain,
    ( c3_1(a110)
    | ~ c0_1(a110)
    | ~ spl0_62
    | ~ spl0_132 ),
    inference(resolution,[],[f687,f1064]) ).

fof(f2061,plain,
    ( c3_1(a163)
    | ~ c0_1(a163)
    | ~ spl0_62
    | ~ spl0_88 ),
    inference(resolution,[],[f687,f829]) ).

fof(f2063,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_30
    | ~ spl0_62 ),
    inference(duplicate_literal_removal,[],[f2053]) ).

fof(f2071,plain,
    ( spl0_59
    | ~ spl0_30
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f2063,f686,f538,f670]) ).

fof(f2078,plain,
    ( spl0_161
    | ~ spl0_65
    | ~ spl0_26
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1324,f715,f520,f705,f1240]) ).

fof(f2091,plain,
    ( spl0_143
    | ~ spl0_173
    | ~ spl0_26
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1306,f1131,f520,f1347,f1121]) ).

fof(f2098,plain,
    ( spl0_110
    | ~ spl0_111
    | ~ spl0_56
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f2000,f1435,f657,f950,f945]) ).

fof(f2104,plain,
    ( spl0_20
    | ~ spl0_40
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1974,f651,f583,f496]) ).

fof(f2112,plain,
    ( spl0_169
    | ~ spl0_71
    | ~ spl0_21
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1265,f742,f500,f737,f1327]) ).

fof(f2116,plain,
    ( spl0_83
    | ~ spl0_176
    | ~ spl0_56
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2008,f806,f657,f1386,f801]) ).

fof(f2133,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_40 ),
    inference(resolution,[],[f489,f584]) ).

fof(f2154,plain,
    ( ~ c3_1(a118)
    | ~ c2_1(a118)
    | ~ spl0_18
    | spl0_76 ),
    inference(resolution,[],[f489,f765]) ).

fof(f2156,plain,
    ( ~ c3_1(a141)
    | ~ c2_1(a141)
    | ~ spl0_18
    | spl0_66 ),
    inference(resolution,[],[f489,f712]) ).

fof(f2158,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_18
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f2133]) ).

fof(f2159,plain,
    ( ~ spl0_161
    | ~ spl0_65
    | ~ spl0_18
    | spl0_66 ),
    inference(avatar_split_clause,[],[f2156,f710,f488,f705,f1240]) ).

fof(f2161,plain,
    ( ~ spl0_75
    | ~ spl0_74
    | ~ spl0_18
    | spl0_76 ),
    inference(avatar_split_clause,[],[f2154,f763,f488,f753,f758]) ).

fof(f2170,plain,
    ( spl0_20
    | ~ spl0_18
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f2158,f583,f488,f496]) ).

fof(f2171,plain,
    ( ~ spl0_156
    | ~ spl0_175
    | ~ spl0_60
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2036,f1185,f674,f1357,f1190]) ).

fof(f2316,plain,
    ( c3_1(a109)
    | c2_1(a109)
    | ~ spl0_59
    | ~ spl0_135 ),
    inference(resolution,[],[f671,f1080]) ).

fof(f2318,plain,
    ( c3_1(a111)
    | c2_1(a111)
    | ~ spl0_59
    | ~ spl0_130 ),
    inference(resolution,[],[f671,f1053]) ).

fof(f2328,plain,
    ( c3_1(a163)
    | c2_1(a163)
    | ~ spl0_59
    | ~ spl0_178 ),
    inference(resolution,[],[f671,f1423]) ).

fof(f2358,plain,
    ( spl0_134
    | ~ spl0_135
    | ~ spl0_54
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1931,f1083,f647,f1078,f1073]) ).

fof(f2361,plain,
    ( spl0_166
    | spl0_134
    | ~ spl0_59
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2316,f1078,f670,f1073,f1288]) ).

fof(f2364,plain,
    ( spl0_87
    | spl0_86
    | ~ spl0_59
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2328,f1421,f670,f817,f822]) ).

fof(f2378,plain,
    ( ~ c2_1(a110)
    | c0_1(a110)
    | ~ spl0_40
    | ~ spl0_132 ),
    inference(resolution,[],[f584,f1064]) ).

fof(f2382,plain,
    ( ~ c2_1(a114)
    | c3_1(a114)
    | ~ spl0_42
    | spl0_181 ),
    inference(resolution,[],[f1442,f592]) ).

fof(f2384,plain,
    ( spl0_119
    | ~ spl0_120
    | ~ spl0_42
    | spl0_181 ),
    inference(avatar_split_clause,[],[f2382,f1441,f591,f998,f993]) ).

fof(f2389,plain,
    ( c0_1(a163)
    | c2_1(a163)
    | ~ spl0_47
    | ~ spl0_88 ),
    inference(resolution,[],[f829,f616]) ).

fof(f2390,plain,
    ( c3_1(a163)
    | c2_1(a163)
    | ~ spl0_49
    | ~ spl0_88 ),
    inference(resolution,[],[f829,f626]) ).

fof(f2401,plain,
    ( ~ c2_1(a109)
    | c3_1(a109)
    | ~ spl0_21
    | spl0_136 ),
    inference(resolution,[],[f501,f1085]) ).

fof(f2403,plain,
    ( ~ c2_1(a114)
    | c3_1(a114)
    | ~ spl0_21
    | spl0_121 ),
    inference(resolution,[],[f501,f1005]) ).

fof(f2428,plain,
    ( ~ c0_1(a114)
    | c3_1(a114)
    | ~ spl0_54
    | spl0_121 ),
    inference(resolution,[],[f648,f1005]) ).

fof(f2433,plain,
    ( ~ c0_1(a167)
    | c3_1(a167)
    | ~ spl0_54
    | spl0_85 ),
    inference(resolution,[],[f648,f813]) ).

fof(f2451,plain,
    ( c3_1(a111)
    | c2_1(a111)
    | ~ spl0_59
    | ~ spl0_130 ),
    inference(resolution,[],[f671,f1053]) ).

fof(f2471,plain,
    ( ~ c3_1(a132)
    | ~ c0_1(a132)
    | ~ spl0_60
    | ~ spl0_107 ),
    inference(resolution,[],[f675,f931]) ).

fof(f2473,plain,
    ( ~ c3_1(a143)
    | ~ c0_1(a143)
    | ~ spl0_60
    | ~ spl0_96 ),
    inference(resolution,[],[f675,f872]) ).

fof(f2481,plain,
    ( ~ c2_1(a102)
    | ~ c0_1(a102)
    | ~ spl0_61
    | ~ spl0_155 ),
    inference(resolution,[],[f683,f1187]) ).

fof(f2494,plain,
    ( ~ spl0_156
    | ~ spl0_157
    | ~ spl0_61
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2481,f1185,f682,f1195,f1190]) ).

fof(f2503,plain,
    ( spl0_83
    | ~ spl0_176
    | ~ spl0_24
    | spl0_85 ),
    inference(avatar_split_clause,[],[f1381,f811,f512,f1386,f801]) ).

fof(f2507,plain,
    ( spl0_31
    | ~ spl0_27
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f1803,f625,f524,f542]) ).

fof(f2512,plain,
    ( spl0_73
    | ~ spl0_71
    | ~ spl0_41
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1523,f742,f587,f737,f747]) ).

fof(f2513,plain,
    ( ~ spl0_160
    | ~ spl0_159
    | ~ spl0_50
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1816,f1201,f629,f1206,f1211]) ).

fof(f2522,plain,
    ( spl0_73
    | ~ spl0_169
    | ~ spl0_55
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1970,f742,f651,f1327,f747]) ).

fof(f2528,plain,
    ( ~ spl0_179
    | ~ spl0_97
    | ~ spl0_60
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2473,f870,f674,f875,f1428]) ).

fof(f2529,plain,
    ( ~ spl0_184
    | ~ spl0_147
    | ~ spl0_60
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2038,f1137,f674,f1142,f1460]) ).

fof(f2531,plain,
    ( spl0_95
    | ~ spl0_97
    | ~ spl0_26
    | spl0_179 ),
    inference(avatar_split_clause,[],[f1476,f1428,f520,f875,f865]) ).

fof(f2532,plain,
    ( ~ spl0_108
    | ~ spl0_109
    | ~ spl0_60
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2471,f929,f674,f939,f934]) ).

fof(f2541,plain,
    ( ~ spl0_69
    | ~ spl0_68
    | ~ spl0_20
    | spl0_70 ),
    inference(avatar_split_clause,[],[f1237,f731,f496,f721,f726]) ).

fof(f2542,plain,
    ( ~ spl0_165
    | ~ spl0_114
    | ~ spl0_20
    | spl0_115 ),
    inference(avatar_split_clause,[],[f1734,f971,f496,f966,f1283]) ).

fof(f2544,plain,
    ( ~ spl0_71
    | ~ spl0_169
    | ~ spl0_20
    | spl0_73 ),
    inference(avatar_split_clause,[],[f1738,f747,f496,f1327,f737]) ).

fof(f2545,plain,
    ( spl0_115
    | ~ spl0_114
    | ~ spl0_33
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1484,f961,f550,f966,f971]) ).

fof(f2549,plain,
    ( spl0_184
    | ~ spl0_147
    | ~ spl0_33
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1579,f1137,f550,f1142,f1460]) ).

fof(f2559,plain,
    ( spl0_184
    | ~ spl0_148
    | ~ spl0_40
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1578,f1137,f583,f1147,f1460]) ).

fof(f2564,plain,
    ( spl0_175
    | ~ spl0_157
    | ~ spl0_44
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1565,f1185,f601,f1195,f1357]) ).

fof(f2574,plain,
    ( spl0_134
    | ~ spl0_166
    | ~ spl0_53
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1898,f1078,f643,f1288,f1073]) ).

fof(f2584,plain,
    ( spl0_119
    | ~ spl0_181
    | ~ spl0_54
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2428,f1003,f647,f1441,f993]) ).

fof(f2587,plain,
    ( spl0_176
    | ~ spl0_84
    | ~ spl0_54
    | spl0_85 ),
    inference(avatar_split_clause,[],[f2433,f811,f647,f806,f1386]) ).

fof(f2591,plain,
    ( ~ spl0_156
    | spl0_175
    | ~ spl0_62
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2055,f1185,f686,f1357,f1190]) ).

fof(f2597,plain,
    ( spl0_87
    | spl0_178
    | ~ spl0_47
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2389,f827,f615,f1421,f822]) ).

fof(f2607,plain,
    ( spl0_134
    | ~ spl0_166
    | ~ spl0_21
    | spl0_136 ),
    inference(avatar_split_clause,[],[f2401,f1083,f500,f1288,f1073]) ).

fof(f2608,plain,
    ( spl0_119
    | ~ spl0_120
    | ~ spl0_21
    | spl0_121 ),
    inference(avatar_split_clause,[],[f2403,f1003,f500,f998,f993]) ).

fof(f2616,plain,
    ( spl0_131
    | spl0_183
    | ~ spl0_46
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1745,f1062,f610,f1451,f1057]) ).

fof(f2625,plain,
    ( spl0_87
    | spl0_86
    | ~ spl0_49
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2390,f827,f625,f817,f822]) ).

fof(f2627,plain,
    ( spl0_145
    | ~ spl0_173
    | ~ spl0_55
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1957,f1126,f651,f1347,f1131]) ).

fof(f2628,plain,
    ( spl0_180
    | ~ spl0_111
    | ~ spl0_55
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1963,f955,f651,f950,f1435]) ).

fof(f2629,plain,
    ( spl0_26
    | ~ spl0_48
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1971,f651,f621,f520]) ).

fof(f2630,plain,
    ( spl0_26
    | ~ spl0_47
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1972,f651,f615,f520]) ).

fof(f2631,plain,
    ( ~ spl0_161
    | ~ spl0_65
    | ~ spl0_20
    | spl0_67 ),
    inference(avatar_split_clause,[],[f1238,f715,f496,f705,f1240]) ).

fof(f2635,plain,
    ( spl0_183
    | ~ spl0_133
    | ~ spl0_40
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2378,f1062,f583,f1067,f1451]) ).

fof(f2636,plain,
    ( spl0_175
    | ~ spl0_157
    | ~ spl0_53
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1892,f1190,f643,f1195,f1357]) ).

fof(f2638,plain,
    ( spl0_131
    | ~ spl0_133
    | ~ spl0_53
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f1899,f1451,f643,f1067,f1057]) ).

fof(f2640,plain,
    ( spl0_145
    | spl0_143
    | ~ spl0_27
    | spl0_144 ),
    inference(avatar_split_clause,[],[f1394,f1126,f524,f1121,f1131]) ).

fof(f2644,plain,
    ( spl0_180
    | spl0_110
    | ~ spl0_27
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1791,f955,f524,f945,f1435]) ).

fof(f2645,plain,
    ( spl0_125
    | spl0_126
    | ~ spl0_30
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1702,f1035,f538,f1030,f1025]) ).

fof(f2647,plain,
    ( spl0_86
    | spl0_87
    | ~ spl0_31
    | spl0_178 ),
    inference(avatar_split_clause,[],[f1677,f1421,f542,f822,f817]) ).

fof(f2649,plain,
    ( spl0_131
    | ~ spl0_133
    | ~ spl0_44
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1568,f1062,f601,f1067,f1057]) ).

fof(f2655,plain,
    ( spl0_129
    | spl0_128
    | ~ spl0_59
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2318,f1051,f670,f1041,f1046]) ).

fof(f2659,plain,
    ( spl0_129
    | spl0_128
    | ~ spl0_59
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f2451,f1051,f670,f1041,f1046]) ).

fof(f2663,plain,
    ( ~ spl0_183
    | spl0_131
    | ~ spl0_62
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f2059,f1062,f686,f1057,f1451]) ).

fof(f2665,plain,
    ( ~ spl0_178
    | spl0_86
    | ~ spl0_62
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f2061,f827,f686,f817,f1421]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s5,plain,
    ( spl0_5
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s7,plain,
    ( ~ spl0_11
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s8,plain,
    ( spl0_1
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s10,plain,
    ( spl0_6
    | spl0_17
    | ~ spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s15,plain,
    ( spl0_1
    | spl0_17
    | spl0_23
    | spl0_27 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s16,plain,
    ( spl0_5
    | spl0_17
    | spl0_27
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s18,plain,
    ( spl0_17
    | ~ spl0_19
    | spl0_30 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s22,plain,
    ( spl0_6
    | spl0_17
    | spl0_33
    | spl0_35 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s24,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_33
    | spl0_35 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s27,plain,
    ( spl0_17
    | ~ spl0_28
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s28,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s29,plain,
    ( spl0_17
    | ~ spl0_37
    | spl0_40
    | spl0_42 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s30,plain,
    ( spl0_17
    | spl0_26
    | spl0_27
    | spl0_40 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s33,plain,
    ( spl0_17
    | ~ spl0_19
    | ~ spl0_37
    | spl0_44 ),
    inference(sat_conversion,[],[f604]) ).

cnf(s34,plain,
    ( spl0_17
    | spl0_21
    | ~ spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f612]) ).

cnf(s35,plain,
    ( spl0_17
    | spl0_20
    | spl0_24
    | spl0_46 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s37,plain,
    ( spl0_17
    | spl0_27
    | ~ spl0_37
    | spl0_47 ),
    inference(sat_conversion,[],[f618]) ).

cnf(s38,plain,
    ( ~ spl0_15
    | spl0_17
    | spl0_44
    | spl0_47 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s40,plain,
    ( spl0_17
    | spl0_18
    | spl0_31
    | spl0_49 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s41,plain,
    ( spl0_6
    | spl0_17
    | ~ spl0_28
    | spl0_50 ),
    inference(sat_conversion,[],[f631]) ).

cnf(s43,plain,
    ( ~ spl0_12
    | spl0_17
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s45,plain,
    ( spl0_8
    | ~ spl0_14
    | spl0_17
    | spl0_53 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s46,plain,
    ( ~ spl0_14
    | spl0_17
    | ~ spl0_32
    | spl0_54 ),
    inference(sat_conversion,[],[f649]) ).

cnf(s47,plain,
    ( ~ spl0_4
    | spl0_17
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s48,plain,
    ( spl0_17
    | spl0_21
    | spl0_31
    | spl0_54 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s49,plain,
    ( spl0_17
    | spl0_33
    | spl0_48
    | spl0_54 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s50,plain,
    ( ~ spl0_14
    | spl0_17
    | spl0_35
    | spl0_56 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s51,plain,
    ( spl0_17
    | spl0_40
    | spl0_56
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s53,plain,
    ( ~ spl0_13
    | spl0_17
    | spl0_55
    | spl0_59 ),
    inference(sat_conversion,[],[f672]) ).

cnf(s54,plain,
    ( spl0_17
    | spl0_18
    | spl0_20
    | spl0_60 ),
    inference(sat_conversion,[],[f676]) ).

cnf(s56,plain,
    ( spl0_6
    | spl0_17
    | spl0_30
    | spl0_60 ),
    inference(sat_conversion,[],[f678]) ).

cnf(s57,plain,
    ( spl0_17
    | spl0_27
    | spl0_47
    | spl0_60 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s58,plain,
    ( spl0_17
    | spl0_55
    | spl0_56
    | spl0_60 ),
    inference(sat_conversion,[],[f680]) ).

cnf(s59,plain,
    ( spl0_17
    | ~ spl0_32
    | spl0_55
    | spl0_61 ),
    inference(sat_conversion,[],[f684]) ).

cnf(s60,plain,
    ( ~ spl0_4
    | ~ spl0_10
    | spl0_17
    | spl0_62 ),
    inference(sat_conversion,[],[f688]) ).

cnf(s62,plain,
    ( ~ spl0_11
    | spl0_17
    | spl0_62 ),
    inference(sat_conversion,[],[f690]) ).

cnf(s63,plain,
    ( spl0_17
    | spl0_42
    | spl0_53
    | spl0_62 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s69,plain,
    ( spl0_16
    | spl0_65 ),
    inference(sat_conversion,[],[f708]) ).

cnf(s70,plain,
    ( spl0_16
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s71,plain,
    ( spl0_16
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s73,plain,
    ( spl0_15
    | spl0_68 ),
    inference(sat_conversion,[],[f724]) ).

cnf(s74,plain,
    ( spl0_15
    | spl0_69 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s75,plain,
    ( spl0_15
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s77,plain,
    ( spl0_28
    | spl0_71 ),
    inference(sat_conversion,[],[f740]) ).

cnf(s78,plain,
    ( spl0_28
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s79,plain,
    ( spl0_28
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s81,plain,
    ( ~ spl0_35
    | spl0_74 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s82,plain,
    ( ~ spl0_35
    | spl0_75 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s83,plain,
    ( ~ spl0_35
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s93,plain,
    ( spl0_3
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f804]) ).

cnf(s94,plain,
    ( spl0_3
    | spl0_84 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s95,plain,
    ( spl0_3
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s96,plain,
    ( spl0_3
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s97,plain,
    ( ~ spl0_1
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s98,plain,
    ( ~ spl0_1
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s99,plain,
    ( ~ spl0_1
    | spl0_88 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s100,plain,
    ( ~ spl0_1
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s109,plain,
    ( ~ spl0_39
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f868]) ).

cnf(s110,plain,
    ( ~ spl0_39
    | spl0_96 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s111,plain,
    ( ~ spl0_39
    | spl0_97 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s117,plain,
    ( spl0_19
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s118,plain,
    ( spl0_19
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s119,plain,
    ( spl0_19
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s121,plain,
    ( spl0_45
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f916]) ).

cnf(s122,plain,
    ( spl0_45
    | spl0_105 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s123,plain,
    ( spl0_45
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s125,plain,
    ( spl0_37
    | spl0_107 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s126,plain,
    ( spl0_37
    | spl0_108 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s127,plain,
    ( spl0_37
    | spl0_109 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s129,plain,
    ( spl0_12
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f948]) ).

cnf(s130,plain,
    ( spl0_12
    | spl0_111 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s131,plain,
    ( spl0_12
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s133,plain,
    ( spl0_14
    | spl0_113 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s134,plain,
    ( spl0_14
    | spl0_114 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s135,plain,
    ( spl0_14
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s137,plain,
    ( spl0_57
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f980]) ).

cnf(s138,plain,
    ( spl0_57
    | spl0_117 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s139,plain,
    ( spl0_57
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s141,plain,
    ( spl0_13
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s142,plain,
    ( spl0_13
    | spl0_120 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s143,plain,
    ( spl0_13
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s149,plain,
    ( ~ spl0_6
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f1028]) ).

cnf(s150,plain,
    ( ~ spl0_6
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s151,plain,
    ( ~ spl0_6
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1038]) ).

cnf(s153,plain,
    ( spl0_32
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s154,plain,
    ( spl0_32
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s155,plain,
    ( spl0_32
    | spl0_130 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s157,plain,
    ( spl0_10
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s158,plain,
    ( spl0_10
    | spl0_132 ),
    inference(sat_conversion,[],[f1065]) ).

cnf(s159,plain,
    ( spl0_10
    | spl0_133 ),
    inference(sat_conversion,[],[f1070]) ).

cnf(s161,plain,
    ( spl0_4
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s162,plain,
    ( spl0_4
    | spl0_135 ),
    inference(sat_conversion,[],[f1081]) ).

cnf(s163,plain,
    ( spl0_4
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s164,plain,
    ( spl0_4
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1087]) ).

cnf(s173,plain,
    ( spl0_11
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s174,plain,
    ( spl0_11
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s175,plain,
    ( spl0_11
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1134]) ).

cnf(s177,plain,
    ( ~ spl0_5
    | spl0_146 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s178,plain,
    ( ~ spl0_5
    | spl0_147 ),
    inference(sat_conversion,[],[f1145]) ).

cnf(s179,plain,
    ( ~ spl0_5
    | spl0_148 ),
    inference(sat_conversion,[],[f1150]) ).

cnf(s189,plain,
    ( ~ spl0_23
    | spl0_155 ),
    inference(sat_conversion,[],[f1188]) ).

cnf(s190,plain,
    ( ~ spl0_23
    | spl0_156 ),
    inference(sat_conversion,[],[f1193]) ).

cnf(s191,plain,
    ( ~ spl0_23
    | spl0_157 ),
    inference(sat_conversion,[],[f1198]) ).

cnf(s193,plain,
    ( ~ spl0_8
    | spl0_158 ),
    inference(sat_conversion,[],[f1204]) ).

cnf(s194,plain,
    ( ~ spl0_8
    | spl0_159 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s195,plain,
    ( ~ spl0_8
    | spl0_160 ),
    inference(sat_conversion,[],[f1214]) ).

cnf(s215,plain,
    ( ~ spl0_27
    | spl0_66
    | spl0_67
    | spl0_161 ),
    inference(sat_conversion,[],[f1413]) ).

cnf(s238,plain,
    ( ~ spl0_26
    | ~ spl0_114
    | spl0_115
    | spl0_165 ),
    inference(sat_conversion,[],[f1468]) ).

cnf(s251,plain,
    ( spl0_20
    | ~ spl0_33
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1532]) ).

cnf(s269,plain,
    ( ~ spl0_27
    | spl0_31
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1605]) ).

cnf(s271,plain,
    ( ~ spl0_26
    | spl0_104
    | ~ spl0_105
    | spl0_106 ),
    inference(sat_conversion,[],[f1607]) ).

cnf(s300,plain,
    ( ~ spl0_31
    | spl0_101
    | spl0_102
    | spl0_103 ),
    inference(sat_conversion,[],[f1684]) ).

cnf(s310,plain,
    ( ~ spl0_30
    | spl0_83
    | spl0_85
    | spl0_176 ),
    inference(sat_conversion,[],[f1714]) ).

cnf(s313,plain,
    ( ~ spl0_30
    | spl0_134
    | spl0_136
    | spl0_166 ),
    inference(sat_conversion,[],[f1717]) ).

cnf(s316,plain,
    ( ~ spl0_30
    | spl0_143
    | spl0_144
    | spl0_173 ),
    inference(sat_conversion,[],[f1720]) ).

cnf(s333,plain,
    ( ~ spl0_50
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f1846]) ).

cnf(s337,plain,
    ( ~ spl0_42
    | spl0_116
    | ~ spl0_117
    | spl0_118 ),
    inference(sat_conversion,[],[f1850]) ).

cnf(s341,plain,
    ( ~ spl0_42
    | ~ spl0_71
    | spl0_73
    | spl0_169 ),
    inference(sat_conversion,[],[f1854]) ).

cnf(s371,plain,
    ( ~ spl0_33
    | ~ spl0_55
    | ~ spl0_114
    | spl0_115 ),
    inference(sat_conversion,[],[f2029]) ).

cnf(s382,plain,
    ( ~ spl0_30
    | spl0_59
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f2071]) ).

cnf(s389,plain,
    ( ~ spl0_26
    | ~ spl0_65
    | spl0_67
    | spl0_161 ),
    inference(sat_conversion,[],[f2078]) ).

cnf(s402,plain,
    ( ~ spl0_26
    | spl0_143
    | spl0_145
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2091]) ).

cnf(s409,plain,
    ( ~ spl0_56
    | spl0_110
    | ~ spl0_111
    | ~ spl0_180 ),
    inference(sat_conversion,[],[f2098]) ).

cnf(s415,plain,
    ( spl0_20
    | ~ spl0_40
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f2104]) ).

cnf(s423,plain,
    ( ~ spl0_21
    | ~ spl0_71
    | spl0_72
    | spl0_169 ),
    inference(sat_conversion,[],[f2112]) ).

cnf(s427,plain,
    ( ~ spl0_56
    | spl0_83
    | ~ spl0_84
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2116]) ).

cnf(s432,plain,
    ( ~ spl0_18
    | ~ spl0_65
    | spl0_66
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2159]) ).

cnf(s434,plain,
    ( ~ spl0_18
    | ~ spl0_74
    | ~ spl0_75
    | spl0_76 ),
    inference(sat_conversion,[],[f2161]) ).

cnf(s443,plain,
    ( ~ spl0_18
    | spl0_20
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f2170]) ).

cnf(s444,plain,
    ( ~ spl0_60
    | ~ spl0_155
    | ~ spl0_156
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2171]) ).

cnf(s477,plain,
    ( ~ spl0_54
    | spl0_134
    | ~ spl0_135
    | spl0_136 ),
    inference(sat_conversion,[],[f2358]) ).

cnf(s480,plain,
    ( ~ spl0_59
    | spl0_134
    | ~ spl0_135
    | spl0_166 ),
    inference(sat_conversion,[],[f2361]) ).

cnf(s483,plain,
    ( ~ spl0_59
    | spl0_86
    | spl0_87
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2364]) ).

cnf(s485,plain,
    ( ~ spl0_42
    | spl0_119
    | ~ spl0_120
    | spl0_181 ),
    inference(sat_conversion,[],[f2384]) ).

cnf(s493,plain,
    ( ~ spl0_61
    | ~ spl0_155
    | ~ spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2494]) ).

cnf(s502,plain,
    ( ~ spl0_24
    | spl0_83
    | spl0_85
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2503]) ).

cnf(s506,plain,
    ( ~ spl0_27
    | spl0_31
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f2507]) ).

cnf(s511,plain,
    ( ~ spl0_41
    | ~ spl0_71
    | spl0_72
    | spl0_73 ),
    inference(sat_conversion,[],[f2512]) ).

cnf(s512,plain,
    ( ~ spl0_50
    | ~ spl0_158
    | ~ spl0_159
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2513]) ).

cnf(s521,plain,
    ( ~ spl0_55
    | spl0_72
    | spl0_73
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2522]) ).

cnf(s527,plain,
    ( ~ spl0_60
    | ~ spl0_96
    | ~ spl0_97
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2528]) ).

cnf(s528,plain,
    ( ~ spl0_60
    | ~ spl0_146
    | ~ spl0_147
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f2529]) ).

cnf(s530,plain,
    ( ~ spl0_26
    | spl0_95
    | ~ spl0_97
    | spl0_179 ),
    inference(sat_conversion,[],[f2531]) ).

cnf(s531,plain,
    ( ~ spl0_60
    | ~ spl0_107
    | ~ spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f2532]) ).

cnf(s541,plain,
    ( ~ spl0_20
    | ~ spl0_68
    | ~ spl0_69
    | spl0_70 ),
    inference(sat_conversion,[],[f2541]) ).

cnf(s542,plain,
    ( ~ spl0_20
    | ~ spl0_114
    | spl0_115
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f2542]) ).

cnf(s544,plain,
    ( ~ spl0_20
    | ~ spl0_71
    | spl0_73
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2544]) ).

cnf(s545,plain,
    ( ~ spl0_33
    | ~ spl0_113
    | ~ spl0_114
    | spl0_115 ),
    inference(sat_conversion,[],[f2545]) ).

cnf(s549,plain,
    ( ~ spl0_33
    | ~ spl0_146
    | ~ spl0_147
    | spl0_184 ),
    inference(sat_conversion,[],[f2549]) ).

cnf(s559,plain,
    ( ~ spl0_40
    | ~ spl0_146
    | ~ spl0_148
    | spl0_184 ),
    inference(sat_conversion,[],[f2559]) ).

cnf(s565,plain,
    ( ~ spl0_44
    | ~ spl0_155
    | ~ spl0_157
    | spl0_175 ),
    inference(sat_conversion,[],[f2564]) ).

cnf(s575,plain,
    ( ~ spl0_53
    | spl0_134
    | ~ spl0_135
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2574]) ).

cnf(s585,plain,
    ( ~ spl0_54
    | spl0_119
    | spl0_121
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2584]) ).

cnf(s588,plain,
    ( ~ spl0_54
    | ~ spl0_84
    | spl0_85
    | spl0_176 ),
    inference(sat_conversion,[],[f2587]) ).

cnf(s592,plain,
    ( ~ spl0_62
    | ~ spl0_155
    | ~ spl0_156
    | spl0_175 ),
    inference(sat_conversion,[],[f2591]) ).

cnf(s598,plain,
    ( ~ spl0_47
    | spl0_87
    | ~ spl0_88
    | spl0_178 ),
    inference(sat_conversion,[],[f2597]) ).

cnf(s609,plain,
    ( ~ spl0_21
    | spl0_134
    | spl0_136
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2607]) ).

cnf(s610,plain,
    ( ~ spl0_21
    | spl0_119
    | ~ spl0_120
    | spl0_121 ),
    inference(sat_conversion,[],[f2608]) ).

cnf(s618,plain,
    ( ~ spl0_46
    | spl0_131
    | ~ spl0_132
    | spl0_183 ),
    inference(sat_conversion,[],[f2616]) ).

cnf(s627,plain,
    ( ~ spl0_49
    | spl0_86
    | spl0_87
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f2625]) ).

cnf(s629,plain,
    ( ~ spl0_55
    | spl0_144
    | spl0_145
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2627]) ).

cnf(s630,plain,
    ( ~ spl0_55
    | ~ spl0_111
    | spl0_112
    | spl0_180 ),
    inference(sat_conversion,[],[f2628]) ).

cnf(s631,plain,
    ( spl0_26
    | ~ spl0_48
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f2629]) ).

cnf(s632,plain,
    ( spl0_26
    | ~ spl0_47
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f2630]) ).

cnf(s633,plain,
    ( ~ spl0_20
    | ~ spl0_65
    | spl0_67
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2631]) ).

cnf(s637,plain,
    ( ~ spl0_40
    | ~ spl0_132
    | ~ spl0_133
    | spl0_183 ),
    inference(sat_conversion,[],[f2635]) ).

cnf(s638,plain,
    ( ~ spl0_53
    | ~ spl0_156
    | ~ spl0_157
    | spl0_175 ),
    inference(sat_conversion,[],[f2636]) ).

cnf(s640,plain,
    ( ~ spl0_53
    | spl0_131
    | ~ spl0_133
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f2638]) ).

cnf(s642,plain,
    ( ~ spl0_27
    | spl0_143
    | spl0_144
    | spl0_145 ),
    inference(sat_conversion,[],[f2640]) ).

cnf(s646,plain,
    ( ~ spl0_27
    | spl0_110
    | spl0_112
    | spl0_180 ),
    inference(sat_conversion,[],[f2644]) ).

cnf(s647,plain,
    ( ~ spl0_30
    | spl0_125
    | spl0_126
    | spl0_127 ),
    inference(sat_conversion,[],[f2645]) ).

cnf(s650,plain,
    ( ~ spl0_31
    | spl0_86
    | spl0_87
    | spl0_178 ),
    inference(sat_conversion,[],[f2647]) ).

cnf(s652,plain,
    ( ~ spl0_44
    | spl0_131
    | ~ spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f2649]) ).

cnf(s658,plain,
    ( ~ spl0_59
    | spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2655]) ).

cnf(s662,plain,
    ( ~ spl0_59
    | spl0_128
    | spl0_129
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f2659]) ).

cnf(s666,plain,
    ( ~ spl0_62
    | spl0_131
    | ~ spl0_132
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f2663]) ).

cnf(s668,plain,
    ( ~ spl0_62
    | spl0_86
    | ~ spl0_88
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2665]) ).

cnf(s672,plain,
    ( spl0_19
    | ~ spl0_31 ),
    inference(rat,[],[s300,s117,s118,s119]) ).

cnf(s673,plain,
    ( ~ spl0_19
    | spl0_11
    | spl0_44
    | spl0_3 ),
    inference(rat,[],[s58,s427,s629,s531,s310,s316,s125,s126,s127,s18,s33,s96,s95,s94,s93,s175,s174,s173]) ).

cnf(s674,plain,
    ( spl0_11
    | spl0_44
    | spl0_5
    | spl0_4
    | spl0_3 ),
    inference(rat,[],[s610,s141,s142,s143,s53,s521,s480,s423,s609,s48,s672,s673,s77,s78,s79,s16,s642,s173,s174,s175,s96,s477,s161,s162,s163]) ).

cnf(s675,plain,
    ( spl0_13
    | ~ spl0_21 ),
    inference(rat,[],[s610,s141,s142,s143]) ).

cnf(s676,plain,
    ( spl0_31
    | ~ spl0_11
    | spl0_6
    | spl0_4
    | spl0_17
    | spl0_1 ),
    inference(rat,[],[s444,s592,s189,s190,s15,s506,s40,s434,s81,s82,s83,s22,s371,s134,s135,s7,s53,s675,s56,s480,s313,s609,s48,s477,s161,s162,s163,s62]) ).

cnf(s677,plain,
    ( spl0_10
    | spl0_8
    | spl0_6
    | spl0_5
    | spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s49,s631,s371,s271,s134,s135,s121,s122,s123,s45,s34,s58,s575,s609,s427,s531,s313,s310,s125,s126,s127,s18,s33,s672,s676,s618,s666,s62,s674,s652,s157,s158,s159,s96,s95,s94,s93,s477,s161,s162,s163]) ).

cnf(s678,plain,
    ( spl0_11
    | spl0_6
    | spl0_5
    | spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s58,s629,s427,s316,s310,s56,s444,s565,s189,s190,s191,s15,s642,s674,s173,s174,s175,s96,s95,s94,s93]) ).

cnf(s679,plain,
    ( spl0_6
    | spl0_5
    | spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s215,s633,s30,s69,s70,s71,s271,s28,s121,s122,s123,s511,s34,s77,s78,s79,s609,s41,s313,s512,s10,s18,s618,s637,s193,s194,s195,s672,s666,s677,s157,s158,s159,s676,s62,s5,s678,s96,s163,s161]) ).

cnf(s680,plain,
    ( spl0_28
    | ~ spl0_55
    | ~ spl0_21 ),
    inference(rat,[],[s423,s521,s77,s78,s79]) ).

cnf(s681,plain,
    ( spl0_11
    | ~ spl0_27 ),
    inference(rat,[],[s642,s173,s174,s175]) ).

cnf(s684,plain,
    ( spl0_16
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(rat,[],[s432,s215,s69,s70,s71]) ).

cnf(s685,plain,
    ( spl0_5
    | spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s434,s81,s82,s83,s24,s684,s371,s134,s135,s7,s681,s40,s506,s16,s680,s53,s480,s675,s609,s48,s672,s18,s647,s149,s150,s151,s679,s96,s477,s161,s162,s163]) ).

cnf(s686,plain,
    ( ~ spl0_27
    | spl0_31
    | ~ spl0_55
    | ~ spl0_13
    | spl0_17 ),
    inference(rat,[],[s434,s81,s82,s83,s24,s371,s134,s135,s684,s7,s40,s681,s506]) ).

cnf(s687,plain,
    ( spl0_16
    | ~ spl0_18
    | ~ spl0_26 ),
    inference(rat,[],[s389,s432,s69,s70,s71]) ).

cnf(s689,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_55
    | ~ spl0_5
    | spl0_17 ),
    inference(rat,[],[s528,s57,s559,s632,s30,s179,s178,s177]) ).

cnf(s690,plain,
    ( ~ spl0_18
    | ~ spl0_26
    | spl0_17
    | spl0_1 ),
    inference(rat,[],[s434,s81,s82,s83,s24,s251,s28,s443,s541,s73,s74,s75,s8,s687]) ).

cnf(s691,plain,
    ( spl0_20
    | spl0_18
    | ~ spl0_26
    | ~ spl0_28
    | ~ spl0_55
    | spl0_17 ),
    inference(rat,[],[s530,s527,s109,s110,s111,s27,s415,s54]) ).

cnf(s692,plain,
    ( spl0_16
    | ~ spl0_20
    | ~ spl0_26 ),
    inference(rat,[],[s633,s389,s69,s71]) ).

cnf(s693,plain,
    ( ~ spl0_21
    | ~ spl0_5
    | spl0_134
    | ~ spl0_135
    | spl0_136
    | spl0_17
    | spl0_1 ),
    inference(rat,[],[s541,s73,s74,s75,s8,s692,s691,s690,s689,s686,s672,s680,s18,s53,s480,s313,s675,s609]) ).

cnf(s694,plain,
    ( ~ spl0_6
    | ~ spl0_30 ),
    inference(rat,[],[s647,s149,s150,s151]) ).

cnf(s695,plain,
    ( spl0_14
    | ~ spl0_55
    | ~ spl0_20
    | spl0_54
    | spl0_17 ),
    inference(rat,[],[s631,s238,s49,s542,s371,s134,s135]) ).

cnf(s696,plain,
    ( ~ spl0_55
    | ~ spl0_20
    | spl0_53
    | ~ spl0_30
    | spl0_54
    | spl0_17 ),
    inference(rat,[],[s521,s341,s77,s78,s79,s63,s41,s382,s512,s662,s193,s194,s195,s153,s154,s155,s45,s46,s695,s694]) ).

cnf(s697,plain,
    ( spl0_4
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s531,s125,s126,s127,s29,s337,s137,s138,s139,s51,s559,s528,s58,s696,s10,s694,s575,s427,s313,s310,s18,s672,s48,s693,s177,s178,s179,s685,s477,s161,s162,s163,s96,s95,s94,s93]) ).

cnf(s698,plain,
    ( ~ spl0_27
    | ~ spl0_55
    | spl0_31
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s35,s541,s502,s73,s74,s75,s588,s8,s48,s684,s675,s40,s686,s269,s506,s96,s95,s94,s93]) ).

cnf(s699,plain,
    ( ~ spl0_28
    | spl0_27
    | ~ spl0_55
    | spl0_17
    | spl0_1 ),
    inference(rat,[],[s541,s73,s74,s75,s8,s692,s691,s690,s689,s16]) ).

cnf(s700,plain,
    ( spl0_20
    | spl0_42
    | spl0_41
    | spl0_27
    | ~ spl0_55
    | spl0_17 ),
    inference(rat,[],[s531,s54,s125,s126,s127,s687,s29,s30,s28,s415]) ).

cnf(s701,plain,
    ( spl0_47
    | spl0_27
    | spl0_17 ),
    inference(rat,[],[s531,s125,s126,s127,s37,s57]) ).

cnf(s702,plain,
    ( spl0_27
    | ~ spl0_55
    | spl0_1
    | spl0_17 ),
    inference(rat,[],[s541,s73,s74,s75,s8,s692,s632,s701,s700,s341,s511,s521,s77,s78,s79,s699]) ).

cnf(s703,plain,
    ( ~ spl0_55
    | spl0_31
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s702,s698,s96]) ).

cnf(s704,plain,
    ( ~ spl0_27
    | spl0_24
    | spl0_31
    | spl0_17
    | spl0_1 ),
    inference(rat,[],[s541,s73,s74,s75,s8,s684,s35,s40,s269,s506]) ).

cnf(s705,plain,
    ( spl0_31
    | spl0_3
    | spl0_1 ),
    inference(rat,[],[s485,s585,s141,s142,s143,s53,s658,s63,s153,s154,s155,s638,s592,s59,s444,s493,s189,s190,s191,s15,s704,s58,s427,s502,s588,s47,s703,s96,s95,s94,s93,s697]) ).

cnf(s706,plain,
    ( spl0_16
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(rat,[],[s633,s215,s69,s70,s71]) ).

cnf(s707,plain,
    ( spl0_15
    | ~ spl0_20 ),
    inference(rat,[],[s541,s73,s74,s75]) ).

cnf(s708,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s673,s62,s565,s592,s444,s58,s189,s190,s191,s702,s15,s706,s8,s707,s10,s427,s694,s310,s18,s672,s705,s93,s94,s95,s96]) ).

cnf(s709,plain,
    ( spl0_31
    | spl0_1 ),
    inference(rat,[],[s686,s702,s53,s480,s609,s675,s48,s164,s477,s161,s162,s163,s2,s708]) ).

cnf(s711,plain,
    ( ~ spl0_28
    | spl0_1 ),
    inference(rat,[],[s559,s333,s177,s178,s179,s41,s16,s30,s692,s706,s8,s707,s10,s694,s18,s164,s2,s708,s672,s709]) ).

cnf(s712,plain,
    spl0_1,
    inference(rat,[],[s341,s544,s77,s79,s711,s63,s382,s658,s153,s154,s155,s59,s493,s189,s190,s191,s15,s706,s8,s696,s707,s575,s10,s313,s694,s18,s672,s709,s477,s161,s162,s163,s164,s2,s708]) ).

cnf(s713,plain,
    ~ spl0_17,
    inference(rat,[],[s100,s712]) ).

cnf(s714,plain,
    spl0_88,
    inference(rat,[],[s99,s712]) ).

cnf(s715,plain,
    ~ spl0_87,
    inference(rat,[],[s98,s712]) ).

cnf(s716,plain,
    ~ spl0_86,
    inference(rat,[],[s97,s712]) ).

cnf(s717,plain,
    ~ spl0_49,
    inference(rat,[],[s627,s714,s715,s716]) ).

cnf(s718,plain,
    ( spl0_10
    | ~ spl0_44 ),
    inference(rat,[],[s652,s157,s158,s159]) ).

cnf(s721,plain,
    ( ~ spl0_35
    | ~ spl0_18 ),
    inference(rat,[],[s434,s81,s82,s83]) ).

cnf(s723,plain,
    ( spl0_20
    | ~ spl0_27 ),
    inference(rat,[],[s28,s251,s443,s24,s721,s684,s40,s650,s668,s62,s681,s713,s717,s716,s715,s714]) ).

cnf(s724,plain,
    ~ spl0_27,
    inference(rat,[],[s371,s134,s135,s50,s58,s409,s646,s129,s130,s131,s43,s528,s333,s549,s177,s178,s179,s5,s718,s38,s707,s723,s24,s721,s684,s40,s650,s598,s668,s62,s681,s713,s717,s715,s716,s714]) ).

cnf(s725,plain,
    spl0_47,
    inference(rat,[],[s701,s713,s724]) ).

cnf(s726,plain,
    spl0_178,
    inference(rat,[],[s598,s715,s714,s725]) ).

cnf(s727,plain,
    ~ spl0_62,
    inference(rat,[],[s668,s716,s714,s726]) ).

cnf(s728,plain,
    ~ spl0_59,
    inference(rat,[],[s483,s716,s715,s726]) ).

cnf(s729,plain,
    ~ spl0_11,
    inference(rat,[],[s62,s713,s727]) ).

cnf(s730,plain,
    ~ spl0_145,
    inference(rat,[],[s175,s729]) ).

cnf(s731,plain,
    ~ spl0_144,
    inference(rat,[],[s174,s729]) ).

cnf(s732,plain,
    ~ spl0_143,
    inference(rat,[],[s173,s729]) ).

cnf(s733,plain,
    ( spl0_20
    | ~ spl0_33
    | ~ spl0_16
    | ~ spl0_55 ),
    inference(rat,[],[s28,s251,s415,s713]) ).

cnf(s734,plain,
    ( spl0_54
    | ~ spl0_55
    | spl0_31 ),
    inference(rat,[],[s409,s630,s129,s130,s131,s43,s333,s549,s177,s178,s179,s16,s50,s680,s695,s48,s733,s24,s721,s687,s632,s40,s713,s717,s724,s725]) ).

cnf(s735,plain,
    ( ~ spl0_55
    | spl0_3
    | spl0_31 ),
    inference(rat,[],[s371,s134,s135,s50,s427,s588,s734,s24,s687,s632,s721,s40,s95,s94,s93,s713,s725,s717]) ).

cnf(s736,plain,
    ( spl0_10
    | ~ spl0_40
    | ~ spl0_53 ),
    inference(rat,[],[s640,s637,s157,s158,s159]) ).

cnf(s737,plain,
    ( spl0_3
    | spl0_31 ),
    inference(rat,[],[s477,s161,s162,s163,s60,s736,s30,s687,s24,s545,s133,s134,s135,s63,s50,s485,s427,s585,s588,s48,s675,s141,s142,s143,s53,s735,s93,s94,s95,s721,s40,s713,s727,s724,s728,s717]) ).

cnf(s738,plain,
    ( spl0_54
    | spl0_31 ),
    inference(rat,[],[s53,s675,s734,s48,s728,s713]) ).

cnf(s739,plain,
    spl0_31,
    inference(rat,[],[s738,s477,s161,s162,s163,s2,s737]) ).

cnf(s740,plain,
    spl0_19,
    inference(rat,[],[s672,s739]) ).

cnf(s741,plain,
    spl0_30,
    inference(rat,[],[s18,s713,s740]) ).

cnf(s742,plain,
    ~ spl0_6,
    inference(rat,[],[s694,s741]) ).

cnf(s743,plain,
    spl0_173,
    inference(rat,[],[s316,s732,s731,s741]) ).

cnf(s744,plain,
    spl0_20,
    inference(rat,[],[s10,s740,s713,s742]) ).

cnf(s746,plain,
    ~ spl0_26,
    inference(rat,[],[s402,s730,s732,s743]) ).

cnf(s749,plain,
    spl0_40,
    inference(rat,[],[s30,s724,s713,s746]) ).

cnf(s759,plain,
    ( spl0_28
    | ~ spl0_42 ),
    inference(rat,[],[s341,s544,s77,s79,s744]) ).

cnf(s760,plain,
    ~ spl0_28,
    inference(rat,[],[s559,s333,s177,s178,s179,s41,s16,s749,s713,s742,s724]) ).

cnf(s764,plain,
    ~ spl0_42,
    inference(rat,[],[s759,s760]) ).

cnf(s767,plain,
    spl0_53,
    inference(rat,[],[s63,s713,s727,s764]) ).

cnf(s769,plain,
    spl0_10,
    inference(rat,[],[s736,s749,s767]) ).

cnf(s770,plain,
    ~ spl0_4,
    inference(rat,[],[s60,s727,s713,s769]) ).

cnf(s771,plain,
    ~ spl0_136,
    inference(rat,[],[s163,s770]) ).

cnf(s772,plain,
    spl0_135,
    inference(rat,[],[s162,s770]) ).

cnf(s773,plain,
    ~ spl0_134,
    inference(rat,[],[s161,s770]) ).

cnf(s774,plain,
    spl0_166,
    inference(rat,[],[s313,s741,s773,s771]) ).

cnf(s776,plain,
    $false,
    inference(rat,[],[s575,s767,s773,s772,s774]) ).

fof(f2669,plain,
    $false,
    inference(avatar_sat_refutation,[],[s776]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN466+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.18  % Computer : n014.cluster.edu
% 0.11/0.18  % Model    : x86_64 x86_64
% 0.11/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18  % Memory   : 8046.5625MB
% 0.11/0.18  % OS       : Linux 6.8.0-71-generic
% 0.11/0.18  % CPULimit : 300
% 0.11/0.19  % WCLimit  : 300
% 0.11/0.19  % DateTime : Mon Sep 28 16:09:01 UTC 2026
% 0.11/0.19  % CPUTime  : 
% 0.11/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22  Running first-order model finding
% 0.11/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.30  % (1901607)Will run a generic schedule for satisfiability detection.
% 0.47/0.30  % (1901613)% WARNING: option uhcvi not known.
% 0.47/0.30  % (1901618)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1767479413:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.47/0.30  % (1901612)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4062035769_2999 on theBenchmark for (2999ds/0Mi)
% 0.47/0.30  % (1901613)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1265651540:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.47/0.30  % (1901615)dis+10_1_sil=32000:sp=arity:random_seed=3501730103:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.47/0.30  % (1901614)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2331734483:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.47/0.30  % (1901616)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1623097857:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.47/0.30  % (1901617)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3019237566:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.47/0.30  % Detected minimum model sizes of [1]
% 0.47/0.30  % Detected maximum model sizes of [32]
% 0.47/0.30  % TRYING [1]
% 0.47/0.30  % TRYING [2]
% 0.47/0.30  % TRYING [3]
% 0.47/0.30  % TRYING [4]
% 0.47/0.30  % (1901618) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1901607-1901618"...
% 0.47/0.30  % (1901618)...printing done.
% 0.47/0.30  % (1901618)Refutation found. Thanks to Tanya!
% 0.47/0.30  % SZS status Theorem for theBenchmark
% 0.47/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.30  % (1901618)------------------------------
% 0.47/0.30  % (1901618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.30  % (1901618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.30  % (1901618)CaDiCaL version: 2.1.3
% 0.47/0.30  % (1901618)Termination reason: Refutation
% 0.47/0.30  % (1901618)Time elapsed: 0.037 s
% 0.47/0.30  % (1901618)Peak memory usage: 13 MB
% 0.47/0.30  % (1901618)Instructions burned: 63 (million)
% 0.47/0.30  % (1901607)Success in time 0.074 s
% 0.47/0.30  % Vampire exiting
%------------------------------------------------------------------------------