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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---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 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:53:05 PM UTC 2026

% Result   : Theorem 0.81s 0.97s
% Output   : Refutation 2.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :  140
% Syntax   : Number of formulae    :  888 (  21 unt; 139 def)
%            Number of atoms       : 6344 (   0 equ)
%            Maximal formula atoms :  673 (   7 avg)
%            Number of connectives : 8467 (3011   ~;4030   |; 975   &)
%                                         ( 139 <=>; 312  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  106 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  177 ( 176 usr; 173 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  716 (   0 sgn 716   !;   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(f8,plain,
    ( hskp26
    | hskp11
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f11,plain,
    ( hskp5
    | hskp16
    | hskp25 ),
    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(f18,plain,
    ! [X98,X99] :
      ( c2_1(X98)
      | ~ c1_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | ~ c0_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | ~ ndr1_0
      | hskp1 ),
    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(f22,plain,
    ! [X94,X93] :
      ( c2_1(X93)
      | ~ c0_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | ~ c1_1(X94)
      | ~ c2_1(X94)
      | ~ ndr1_0
      | hskp12 ),
    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(f26,plain,
    ! [X89] :
      ( c1_1(X89)
      | ~ c0_1(X89)
      | ~ c3_1(X89)
      | ~ ndr1_0
      | hskp4
      | hskp23 ),
    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(f31,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | ~ c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | c1_1(X83)
      | ~ c2_1(X83)
      | ~ c3_1(X83)
      | ~ ndr1_0
      | hskp17 ),
    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(f36,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | c1_1(X73)
      | ~ c0_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | hskp20 ),
    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(f44,plain,
    ! [X58,X57] :
      ( c1_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | hskp16 ),
    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(f47,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | ~ c2_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | ~ c0_1(X52)
      | ~ c2_1(X52)
      | ~ ndr1_0
      | hskp10 ),
    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(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(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(f94,plain,
    ( ~ hskp26
    | ~ c2_1(a187) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp26
    | ~ c1_1(a187) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp26
    | c0_1(a187) ),
    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(f106,plain,
    ( ~ hskp23
    | ~ c3_1(a153) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp23
    | ~ c1_1(a153) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp23
    | ~ c0_1(a153) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp20
    | ~ c3_1(a139) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp20
    | ~ c1_1(a139) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp20
    | c0_1(a139) ),
    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(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(f150,plain,
    ( ~ hskp12
    | ~ c2_1(a113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp12
    | ~ c0_1(a113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp12
    | c3_1(a113) ),
    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(f202,plain,
    ! [X98,X99] :
      ( c2_1(X98)
      | ~ c1_1(X98)
      | ~ c3_1(X98)
      | ~ ndr1_0
      | ~ c0_1(X99)
      | ~ c2_1(X99)
      | ~ c3_1(X99)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f203,plain,
    ! [X94,X93] :
      ( c2_1(X93)
      | ~ c0_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | ~ c1_1(X94)
      | ~ c2_1(X94)
      | hskp12 ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f205,plain,
    ! [X82,X83] :
      ( c1_1(X82)
      | ~ c0_1(X82)
      | ~ c3_1(X82)
      | ~ ndr1_0
      | c1_1(X83)
      | ~ c2_1(X83)
      | ~ c3_1(X83)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f206,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,[],[f33]) ).

fof(f207,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,[],[f34]) ).

fof(f208,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,[],[f35]) ).

fof(f209,plain,
    ! [X72,X73] :
      ( c1_1(X72)
      | ~ c0_1(X72)
      | ~ c2_1(X72)
      | ~ ndr1_0
      | c1_1(X73)
      | ~ c0_1(X73)
      | ~ c3_1(X73)
      | hskp20 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f210,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,[],[f39]) ).

fof(f211,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,[],[f40]) ).

fof(f213,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,[],[f42]) ).

fof(f214,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,[],[f43]) ).

fof(f215,plain,
    ! [X58,X57] :
      ( c1_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | c1_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | hskp16 ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f216,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,[],[f45]) ).

fof(f217,plain,
    ! [X51,X52] :
      ( c0_1(X51)
      | ~ c2_1(X51)
      | ~ c3_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | ~ c0_1(X52)
      | ~ c2_1(X52)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f47]) ).

fof(f218,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,[],[f48]) ).

fof(f219,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,[],[f52]) ).

fof(f220,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,[],[f53]) ).

fof(f222,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,[],[f56]) ).

fof(f224,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,[],[f58]) ).

fof(f225,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,[],[f59]) ).

fof(f227,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,[],[f61]) ).

fof(f228,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,[],[f62]) ).

fof(f229,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,[],[f63]) ).

fof(f230,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,[],[f64]) ).

fof(f231,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,[],[f68]) ).

fof(f237,definition,
    ( spl0_1
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f243,definition,
    ( spl0_3
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f247,definition,
    ( spl0_4
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f249,plain,
    ( spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f7,f243,f247]) ).

fof(f251,definition,
    ( spl0_5
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f254,definition,
    ( spl0_6
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f257,definition,
    ( spl0_7
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f259,plain,
    ( spl0_5
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f8,f257,f254,f251]) ).

fof(f268,definition,
    ( spl0_10
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f271,definition,
    ( spl0_11
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f273,plain,
    ( spl0_10
    | spl0_5
    | spl0_11 ),
    inference(avatar_split_clause,[],[f10,f271,f251,f268]) ).

fof(f275,definition,
    ( spl0_12
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f277,plain,
    ( spl0_3
    | spl0_12
    | spl0_11 ),
    inference(avatar_split_clause,[],[f11,f271,f275,f243]) ).

fof(f279,definition,
    ( spl0_13
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f282,definition,
    ( spl0_14
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f286,definition,
    ( spl0_15
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f289,definition,
    ( spl0_16
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f291,plain,
    ( spl0_1
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f13,f289,f286,f237]) ).

fof(f293,definition,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f296,definition,
    ( spl0_18
  <=> ! [X103] :
        ( ~ c1_1(X103)
        | ~ c3_1(X103)
        | ~ c2_1(X103) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f297,plain,
    ( ! [X103] :
        ( ~ c2_1(X103)
        | ~ c3_1(X103)
        | ~ c1_1(X103) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f300,definition,
    ( spl0_19
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f303,definition,
    ( spl0_20
  <=> ! [X102] :
        ( ~ c0_1(X102)
        | ~ c3_1(X102)
        | ~ c2_1(X102) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f304,plain,
    ( ! [X102] :
        ( ~ c2_1(X102)
        | ~ c3_1(X102)
        | ~ c0_1(X102) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f305,plain,
    ( spl0_6
    | spl0_19
    | ~ spl0_17
    | spl0_20 ),
    inference(avatar_split_clause,[],[f15,f303,f293,f300,f254]) ).

fof(f307,definition,
    ( spl0_21
  <=> ! [X101] :
        ( c3_1(X101)
        | ~ c2_1(X101)
        | ~ c1_1(X101) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f308,plain,
    ( ! [X101] :
        ( ~ c2_1(X101)
        | c3_1(X101)
        | ~ c1_1(X101) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f311,definition,
    ( spl0_22
  <=> ! [X100] :
        ( c3_1(X100)
        | ~ c1_1(X100)
        | ~ c0_1(X100) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f312,plain,
    ( ! [X100] :
        ( c3_1(X100)
        | ~ c1_1(X100)
        | ~ c0_1(X100) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f315,definition,
    ( spl0_23
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f318,definition,
    ( spl0_24
  <=> ! [X98] :
        ( c2_1(X98)
        | ~ c3_1(X98)
        | ~ c1_1(X98) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f319,plain,
    ( ! [X98] :
        ( c2_1(X98)
        | ~ c3_1(X98)
        | ~ c1_1(X98) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f320,plain,
    ( spl0_23
    | spl0_20
    | ~ spl0_17
    | spl0_24 ),
    inference(avatar_split_clause,[],[f202,f318,f293,f303,f315]) ).

fof(f325,definition,
    ( spl0_26
  <=> ! [X97] :
        ( c2_1(X97)
        | ~ c3_1(X97)
        | ~ c0_1(X97) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f326,plain,
    ( ! [X97] :
        ( c2_1(X97)
        | ~ c3_1(X97)
        | ~ c0_1(X97) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f329,definition,
    ( spl0_27
  <=> ! [X96] :
        ( c2_1(X96)
        | ~ c1_1(X96)
        | ~ c0_1(X96) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f330,plain,
    ( ! [X96] :
        ( c2_1(X96)
        | ~ c1_1(X96)
        | ~ c0_1(X96) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f331,plain,
    ( spl0_1
    | spl0_23
    | ~ spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f20,f329,f293,f315,f237]) ).

fof(f333,definition,
    ( spl0_28
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f335,plain,
    ( spl0_5
    | spl0_28
    | ~ spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f21,f329,f293,f333,f251]) ).

fof(f337,definition,
    ( spl0_29
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f339,plain,
    ( spl0_29
    | spl0_21
    | ~ spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f203,f329,f293,f307,f337]) ).

fof(f341,definition,
    ( spl0_30
  <=> ! [X92] :
        ( c2_1(X92)
        | ~ c1_1(X92)
        | c3_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f342,plain,
    ( ! [X92] :
        ( c2_1(X92)
        | ~ c1_1(X92)
        | c3_1(X92) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f343,plain,
    ( spl0_19
    | ~ spl0_17
    | spl0_30 ),
    inference(avatar_split_clause,[],[f23,f341,f293,f300]) ).

fof(f345,definition,
    ( spl0_31
  <=> ! [X91] :
        ( c2_1(X91)
        | ~ c0_1(X91)
        | c3_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f346,plain,
    ( ! [X91] :
        ( c2_1(X91)
        | ~ c0_1(X91)
        | c3_1(X91) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f349,definition,
    ( spl0_32
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f352,definition,
    ( spl0_33
  <=> ! [X90] :
        ( c1_1(X90)
        | ~ c3_1(X90)
        | ~ c0_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f353,plain,
    ( ! [X90] :
        ( ~ c3_1(X90)
        | c1_1(X90)
        | ~ c0_1(X90) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f356,definition,
    ( spl0_34
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f358,plain,
    ( spl0_34
    | spl0_5
    | ~ spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f26,f352,f293,f251,f356]) ).

fof(f360,definition,
    ( spl0_35
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f362,plain,
    ( spl0_6
    | spl0_35
    | ~ spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f27,f352,f293,f360,f254]) ).

fof(f364,plain,
    ( spl0_35
    | spl0_16
    | ~ spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f29,f352,f293,f289,f360]) ).

fof(f370,definition,
    ( spl0_37
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f373,definition,
    ( spl0_38
  <=> ! [X83] :
        ( c1_1(X83)
        | ~ c3_1(X83)
        | ~ c2_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X83] :
        ( ~ c2_1(X83)
        | ~ c3_1(X83)
        | c1_1(X83) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl0_37
    | spl0_38
    | ~ spl0_17
    | spl0_33 ),
    inference(avatar_split_clause,[],[f205,f352,f293,f373,f370]) ).

fof(f380,definition,
    ( spl0_40
  <=> ! [X81] :
        ( c1_1(X81)
        | ~ c2_1(X81)
        | ~ c0_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X81] :
        ( ~ c2_1(X81)
        | c1_1(X81)
        | ~ c0_1(X81) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f384,definition,
    ( spl0_41
  <=> ! [X80] :
        ( ~ c0_1(X80)
        | ~ c2_1(X80)
        | ~ c1_1(X80) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f385,plain,
    ( ! [X80] :
        ( ~ c2_1(X80)
        | ~ c0_1(X80)
        | ~ c1_1(X80) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f386,plain,
    ( spl0_16
    | spl0_41
    | ~ spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f206,f380,f293,f384,f289]) ).

fof(f388,definition,
    ( spl0_42
  <=> ! [X78] :
        ( c3_1(X78)
        | ~ c2_1(X78)
        | ~ c0_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X78] :
        ( ~ c2_1(X78)
        | c3_1(X78)
        | ~ c0_1(X78) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f390,plain,
    ( spl0_37
    | spl0_42
    | ~ spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f207,f380,f293,f388,f370]) ).

fof(f391,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f208,f380,f293,f329,f325]) ).

fof(f393,definition,
    ( spl0_43
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f395,plain,
    ( spl0_43
    | spl0_33
    | ~ spl0_17
    | spl0_40 ),
    inference(avatar_split_clause,[],[f209,f380,f293,f352,f393]) ).

fof(f397,definition,
    ( spl0_44
  <=> ! [X71] :
        ( c1_1(X71)
        | ~ c2_1(X71)
        | c3_1(X71) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f398,plain,
    ( ! [X71] :
        ( ~ c2_1(X71)
        | c1_1(X71)
        | c3_1(X71) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f400,plain,
    ( spl0_37
    | spl0_19
    | ~ spl0_17
    | spl0_44 ),
    inference(avatar_split_clause,[],[f38,f397,f293,f300,f370]) ).

fof(f402,definition,
    ( spl0_45
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f405,definition,
    ( spl0_46
  <=> ! [X68] :
        ( c1_1(X68)
        | ~ c0_1(X68)
        | c3_1(X68) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f406,plain,
    ( ! [X68] :
        ( c3_1(X68)
        | ~ c0_1(X68)
        | c1_1(X68) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f407,plain,
    ( spl0_45
    | spl0_21
    | ~ spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f210,f405,f293,f307,f402]) ).

fof(f408,plain,
    ( spl0_20
    | spl0_24
    | ~ spl0_17
    | spl0_46 ),
    inference(avatar_split_clause,[],[f211,f405,f293,f318,f303]) ).

fof(f410,definition,
    ( spl0_47
  <=> ! [X63] :
        ( c1_1(X63)
        | ~ c0_1(X63)
        | c2_1(X63) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f411,plain,
    ( ! [X63] :
        ( c2_1(X63)
        | ~ c0_1(X63)
        | c1_1(X63) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f413,plain,
    ( spl0_37
    | spl0_27
    | ~ spl0_17
    | spl0_47 ),
    inference(avatar_split_clause,[],[f213,f410,f293,f329,f370]) ).

fof(f414,plain,
    ( spl0_15
    | spl0_44
    | ~ spl0_17
    | spl0_47 ),
    inference(avatar_split_clause,[],[f214,f410,f293,f397,f286]) ).

fof(f416,definition,
    ( spl0_48
  <=> ! [X58] :
        ( c1_1(X58)
        | ~ c3_1(X58)
        | c2_1(X58) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f417,plain,
    ( ! [X58] :
        ( c2_1(X58)
        | ~ c3_1(X58)
        | c1_1(X58) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f418,plain,
    ( spl0_12
    | spl0_48
    | ~ spl0_17
    | spl0_47 ),
    inference(avatar_split_clause,[],[f215,f410,f293,f416,f275]) ).

fof(f420,definition,
    ( spl0_49
  <=> ! [X54] :
        ( c1_1(X54)
        | c3_1(X54)
        | c2_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f421,plain,
    ( ! [X54] :
        ( c2_1(X54)
        | c3_1(X54)
        | c1_1(X54) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f420]) ).

fof(f422,plain,
    ( spl0_18
    | spl0_31
    | ~ spl0_17
    | spl0_49 ),
    inference(avatar_split_clause,[],[f216,f420,f293,f345,f296]) ).

fof(f424,definition,
    ( spl0_50
  <=> ! [X53] :
        ( c0_1(X53)
        | ~ c3_1(X53)
        | ~ c2_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f425,plain,
    ( ! [X53] :
        ( ~ c2_1(X53)
        | ~ c3_1(X53)
        | c0_1(X53) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f426,plain,
    ( spl0_6
    | spl0_28
    | ~ spl0_17
    | spl0_50 ),
    inference(avatar_split_clause,[],[f46,f424,f293,f333,f254]) ).

fof(f427,plain,
    ( spl0_32
    | spl0_42
    | ~ spl0_17
    | spl0_50 ),
    inference(avatar_split_clause,[],[f217,f424,f293,f388,f349]) ).

fof(f428,plain,
    ( spl0_12
    | spl0_49
    | ~ spl0_17
    | spl0_50 ),
    inference(avatar_split_clause,[],[f218,f424,f293,f420,f275]) ).

fof(f437,definition,
    ( spl0_53
  <=> ! [X47] :
        ( c0_1(X47)
        | ~ c2_1(X47)
        | c3_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f438,plain,
    ( ! [X47] :
        ( ~ c2_1(X47)
        | c0_1(X47)
        | c3_1(X47) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f441,definition,
    ( spl0_54
  <=> ! [X46] :
        ( c0_1(X46)
        | ~ c1_1(X46)
        | c3_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f442,plain,
    ( ! [X46] :
        ( c3_1(X46)
        | ~ c1_1(X46)
        | c0_1(X46) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f445,definition,
    ( spl0_55
  <=> ! [X45] :
        ( ~ c0_1(X45)
        | ~ c3_1(X45)
        | ~ c1_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f446,plain,
    ( ! [X45] :
        ( ~ c3_1(X45)
        | ~ c0_1(X45)
        | ~ c1_1(X45) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f447,plain,
    ( spl0_4
    | spl0_55
    | ~ spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f219,f441,f293,f445,f247]) ).

fof(f448,plain,
    ( spl0_21
    | spl0_31
    | ~ spl0_17
    | spl0_54 ),
    inference(avatar_split_clause,[],[f220,f441,f293,f345,f307]) ).

fof(f451,definition,
    ( spl0_56
  <=> ! [X37] :
        ( c0_1(X37)
        | ~ c3_1(X37)
        | c2_1(X37) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f452,plain,
    ( ! [X37] :
        ( c2_1(X37)
        | ~ c3_1(X37)
        | c0_1(X37) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f453,plain,
    ( spl0_35
    | spl0_14
    | ~ spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f55,f451,f293,f282,f360]) ).

fof(f455,definition,
    ( spl0_57
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f457,plain,
    ( spl0_57
    | spl0_40
    | ~ spl0_17
    | spl0_56 ),
    inference(avatar_split_clause,[],[f222,f451,f293,f380,f455]) ).

fof(f463,definition,
    ( spl0_59
  <=> ! [X31] :
        ( c0_1(X31)
        | c3_1(X31)
        | c2_1(X31) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f464,plain,
    ( ! [X31] :
        ( c2_1(X31)
        | c3_1(X31)
        | c0_1(X31) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f465,plain,
    ( spl0_13
    | spl0_55
    | ~ spl0_17
    | spl0_59 ),
    inference(avatar_split_clause,[],[f224,f463,f293,f445,f279]) ).

fof(f467,definition,
    ( spl0_60
  <=> ! [X28] :
        ( c0_1(X28)
        | ~ c3_1(X28)
        | c1_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f468,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c0_1(X28)
        | c1_1(X28) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f469,plain,
    ( spl0_18
    | spl0_20
    | ~ spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f225,f467,f293,f303,f296]) ).

fof(f471,plain,
    ( spl0_6
    | spl0_30
    | ~ spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f227,f467,f293,f341,f254]) ).

fof(f472,plain,
    ( spl0_27
    | spl0_47
    | ~ spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f228,f467,f293,f410,f329]) ).

fof(f473,plain,
    ( spl0_55
    | spl0_56
    | ~ spl0_17
    | spl0_60 ),
    inference(avatar_split_clause,[],[f229,f467,f293,f451,f445]) ).

fof(f475,definition,
    ( spl0_61
  <=> ! [X16] :
        ( c0_1(X16)
        | ~ c2_1(X16)
        | c1_1(X16) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f476,plain,
    ( ! [X16] :
        ( ~ c2_1(X16)
        | c0_1(X16)
        | c1_1(X16) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f477,plain,
    ( spl0_32
    | spl0_55
    | ~ spl0_17
    | spl0_61 ),
    inference(avatar_split_clause,[],[f230,f475,f293,f445,f349]) ).

fof(f479,definition,
    ( spl0_62
  <=> ! [X15] :
        ( c0_1(X15)
        | c3_1(X15)
        | c1_1(X15) ) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f480,plain,
    ( ! [X15] :
        ( c3_1(X15)
        | c0_1(X15)
        | c1_1(X15) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f481,plain,
    ( spl0_10
    | spl0_4
    | ~ spl0_17
    | spl0_62 ),
    inference(avatar_split_clause,[],[f65,f479,f293,f247,f268]) ).

fof(f483,plain,
    ( spl0_11
    | ~ spl0_17
    | spl0_62 ),
    inference(avatar_split_clause,[],[f67,f479,f293,f271]) ).

fof(f484,plain,
    ( spl0_42
    | spl0_53
    | ~ spl0_17
    | spl0_62 ),
    inference(avatar_split_clause,[],[f231,f479,f293,f437,f388]) ).

fof(f497,definition,
    ( spl0_65
  <=> c3_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f498,plain,
    ( c3_1(a141)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f500,plain,
    ( spl0_65
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f74,f289,f497]) ).

fof(f502,definition,
    ( spl0_66
  <=> c1_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f504,plain,
    ( spl0_66
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f75,f289,f502]) ).

fof(f506,definition,
    ( spl0_67
  <=> c0_1(a141) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f507,plain,
    ( c0_1(a141)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f508,plain,
    ( spl0_67
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f76,f289,f506]) ).

fof(f512,definition,
    ( spl0_68
  <=> c3_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f513,plain,
    ( c3_1(a131)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f515,plain,
    ( spl0_68
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f78,f286,f512]) ).

fof(f517,definition,
    ( spl0_69
  <=> c2_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f518,plain,
    ( c2_1(a131)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f519,plain,
    ( spl0_69
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f79,f286,f517]) ).

fof(f521,definition,
    ( spl0_70
  <=> c0_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f523,plain,
    ( spl0_70
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f80,f286,f521]) ).

fof(f526,definition,
    ( spl0_71
  <=> c2_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f527,plain,
    ( c2_1(a128)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f529,plain,
    ( spl0_71
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f82,f333,f526]) ).

fof(f531,definition,
    ( spl0_72
  <=> c1_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f533,plain,
    ( spl0_72
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f83,f333,f531]) ).

fof(f535,definition,
    ( spl0_73
  <=> c0_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f537,plain,
    ( spl0_73
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f84,f333,f535]) ).

fof(f540,definition,
    ( spl0_74
  <=> c3_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f543,plain,
    ( spl0_74
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f86,f360,f540]) ).

fof(f545,definition,
    ( spl0_75
  <=> c2_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f546,plain,
    ( c2_1(a118)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f547,plain,
    ( spl0_75
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f87,f360,f545]) ).

fof(f549,definition,
    ( spl0_76
  <=> c1_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f551,plain,
    ( spl0_76
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f88,f360,f549]) ).

fof(f568,definition,
    ( spl0_80
  <=> c2_1(a187) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f569,plain,
    ( ~ c2_1(a187)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f571,plain,
    ( ~ spl0_80
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f94,f257,f568]) ).

fof(f573,definition,
    ( spl0_81
  <=> c1_1(a187) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f575,plain,
    ( ~ spl0_81
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f95,f257,f573]) ).

fof(f577,definition,
    ( spl0_82
  <=> c0_1(a187) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f579,plain,
    ( spl0_82
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f96,f257,f577]) ).

fof(f582,definition,
    ( spl0_83
  <=> c2_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f583,plain,
    ( ~ c2_1(a167)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f585,plain,
    ( ~ spl0_83
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f98,f243,f582]) ).

fof(f587,definition,
    ( spl0_84
  <=> c0_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f589,plain,
    ( ~ spl0_84
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f99,f243,f587]) ).

fof(f591,definition,
    ( spl0_85
  <=> c1_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f593,plain,
    ( spl0_85
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f100,f243,f591]) ).

fof(f594,plain,
    ( spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f101,f243,f293]) ).

fof(f596,definition,
    ( spl0_86
  <=> c3_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f597,plain,
    ( ~ c3_1(a163)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f596]) ).

fof(f599,plain,
    ( ~ spl0_86
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f102,f237,f596]) ).

fof(f601,definition,
    ( spl0_87
  <=> c2_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f602,plain,
    ( ~ c2_1(a163)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f603,plain,
    ( ~ spl0_87
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f103,f237,f601]) ).

fof(f605,definition,
    ( spl0_88
  <=> c1_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f607,plain,
    ( ~ spl0_88
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f104,f237,f605]) ).

fof(f608,plain,
    ( spl0_17
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f105,f237,f293]) ).

fof(f610,definition,
    ( spl0_89
  <=> c3_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ c3_1(a153)
    | spl0_89 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f613,plain,
    ( ~ spl0_89
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f106,f356,f610]) ).

fof(f615,definition,
    ( spl0_90
  <=> c1_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ spl0_90
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f107,f356,f615]) ).

fof(f619,definition,
    ( spl0_91
  <=> c0_1(a153) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ spl0_91
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f108,f356,f619]) ).

fof(f652,definition,
    ( spl0_98
  <=> c3_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f653,plain,
    ( ~ c3_1(a139)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f655,plain,
    ( ~ spl0_98
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f118,f393,f652]) ).

fof(f657,definition,
    ( spl0_99
  <=> c1_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f659,plain,
    ( ~ spl0_99
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f119,f393,f657]) ).

fof(f661,definition,
    ( spl0_100
  <=> c0_1(a139) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f663,plain,
    ( spl0_100
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f120,f393,f661]) ).

fof(f666,definition,
    ( spl0_101
  <=> c3_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f667,plain,
    ( ~ c3_1(a135)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f669,plain,
    ( ~ spl0_101
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f122,f300,f666]) ).

fof(f671,definition,
    ( spl0_102
  <=> c2_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f672,plain,
    ( ~ c2_1(a135)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f671]) ).

fof(f673,plain,
    ( ~ spl0_102
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f123,f300,f671]) ).

fof(f675,definition,
    ( spl0_103
  <=> c0_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f677,plain,
    ( spl0_103
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f124,f300,f675]) ).

fof(f680,definition,
    ( spl0_104
  <=> c2_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f681,plain,
    ( ~ c2_1(a134)
    | spl0_104 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f683,plain,
    ( ~ spl0_104
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f126,f402,f680]) ).

fof(f685,definition,
    ( spl0_105
  <=> c3_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f687,plain,
    ( spl0_105
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f127,f402,f685]) ).

fof(f694,definition,
    ( spl0_107
  <=> c1_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f697,plain,
    ( ~ spl0_107
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f130,f370,f694]) ).

fof(f699,definition,
    ( spl0_108
  <=> c0_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f701,plain,
    ( ~ spl0_108
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f131,f370,f699]) ).

fof(f703,definition,
    ( spl0_109
  <=> c3_1(a132) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f704,plain,
    ( c3_1(a132)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f703]) ).

fof(f705,plain,
    ( spl0_109
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f132,f370,f703]) ).

fof(f708,definition,
    ( spl0_110
  <=> c2_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f709,plain,
    ( ~ c2_1(a126)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f711,plain,
    ( ~ spl0_110
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f134,f275,f708]) ).

fof(f713,definition,
    ( spl0_111
  <=> c3_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f714,plain,
    ( c3_1(a126)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f715,plain,
    ( spl0_111
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f135,f275,f713]) ).

fof(f717,definition,
    ( spl0_112
  <=> c1_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f719,plain,
    ( spl0_112
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f136,f275,f717]) ).

fof(f722,definition,
    ( spl0_113
  <=> c1_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f725,plain,
    ( ~ spl0_113
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f138,f282,f722]) ).

fof(f727,definition,
    ( spl0_114
  <=> c3_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f728,plain,
    ( c3_1(a117)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f727]) ).

fof(f729,plain,
    ( spl0_114
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f139,f282,f727]) ).

fof(f731,definition,
    ( spl0_115
  <=> c0_1(a117) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f733,plain,
    ( spl0_115
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f140,f282,f731]) ).

fof(f736,definition,
    ( spl0_116
  <=> c3_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f739,plain,
    ( ~ spl0_116
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f142,f455,f736]) ).

fof(f741,definition,
    ( spl0_117
  <=> c2_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f742,plain,
    ( c2_1(a116)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f743,plain,
    ( spl0_117
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f143,f455,f741]) ).

fof(f745,definition,
    ( spl0_118
  <=> c0_1(a116) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f747,plain,
    ( spl0_118
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f144,f455,f745]) ).

fof(f750,definition,
    ( spl0_119
  <=> c3_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f751,plain,
    ( ~ c3_1(a114)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f750]) ).

fof(f753,plain,
    ( ~ spl0_119
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f146,f279,f750]) ).

fof(f755,definition,
    ( spl0_120
  <=> c2_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f756,plain,
    ( c2_1(a114)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f755]) ).

fof(f757,plain,
    ( spl0_120
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f147,f279,f755]) ).

fof(f759,definition,
    ( spl0_121
  <=> c1_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f761,plain,
    ( spl0_121
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f148,f279,f759]) ).

fof(f764,definition,
    ( spl0_122
  <=> c2_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f765,plain,
    ( ~ c2_1(a113)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f767,plain,
    ( ~ spl0_122
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f150,f337,f764]) ).

fof(f769,definition,
    ( spl0_123
  <=> c0_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f771,plain,
    ( ~ spl0_123
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f151,f337,f769]) ).

fof(f773,definition,
    ( spl0_124
  <=> c3_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f774,plain,
    ( c3_1(a113)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f775,plain,
    ( spl0_124
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f152,f337,f773]) ).

fof(f778,definition,
    ( spl0_125
  <=> c3_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f779,plain,
    ( ~ c3_1(a112)
    | spl0_125 ),
    inference(avatar_component_clause,[],[f778]) ).

fof(f781,plain,
    ( ~ spl0_125
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f154,f254,f778]) ).

fof(f783,definition,
    ( spl0_126
  <=> c2_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f784,plain,
    ( ~ c2_1(a112)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f785,plain,
    ( ~ spl0_126
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f155,f254,f783]) ).

fof(f787,definition,
    ( spl0_127
  <=> c1_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f789,plain,
    ( spl0_127
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f156,f254,f787]) ).

fof(f792,definition,
    ( spl0_128
  <=> c3_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f793,plain,
    ( ~ c3_1(a111)
    | spl0_128 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f795,plain,
    ( ~ spl0_128
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f158,f349,f792]) ).

fof(f797,definition,
    ( spl0_129
  <=> c2_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f798,plain,
    ( ~ c2_1(a111)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f799,plain,
    ( ~ spl0_129
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f159,f349,f797]) ).

fof(f801,definition,
    ( spl0_130
  <=> c0_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f803,plain,
    ( ~ spl0_130
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f160,f349,f801]) ).

fof(f806,definition,
    ( spl0_131
  <=> c3_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f807,plain,
    ( ~ c3_1(a110)
    | spl0_131 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f809,plain,
    ( ~ spl0_131
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f162,f268,f806]) ).

fof(f811,definition,
    ( spl0_132
  <=> c1_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f813,plain,
    ( ~ spl0_132
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f163,f268,f811]) ).

fof(f815,definition,
    ( spl0_133
  <=> c2_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f816,plain,
    ( c2_1(a110)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f817,plain,
    ( spl0_133
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f164,f268,f815]) ).

fof(f820,definition,
    ( spl0_134
  <=> c3_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f821,plain,
    ( ~ c3_1(a109)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f823,plain,
    ( ~ spl0_134
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f166,f247,f820]) ).

fof(f825,definition,
    ( spl0_135
  <=> c0_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f827,plain,
    ( ~ spl0_135
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f167,f247,f825]) ).

fof(f829,definition,
    ( spl0_136
  <=> c1_1(a109) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f831,plain,
    ( spl0_136
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f168,f247,f829]) ).

fof(f832,plain,
    ( spl0_17
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f169,f247,f293]) ).

fof(f862,definition,
    ( spl0_143
  <=> c2_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f863,plain,
    ( ~ c2_1(a106)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f865,plain,
    ( ~ spl0_143
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f178,f271,f862]) ).

fof(f867,definition,
    ( spl0_144
  <=> c1_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f869,plain,
    ( spl0_144
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f179,f271,f867]) ).

fof(f871,definition,
    ( spl0_145
  <=> c0_1(a106) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f873,plain,
    ( spl0_145
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f180,f271,f871]) ).

fof(f876,definition,
    ( spl0_146
  <=> c1_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ spl0_146
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f182,f251,f876]) ).

fof(f881,definition,
    ( spl0_147
  <=> c3_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f882,plain,
    ( c3_1(a105)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f881]) ).

fof(f883,plain,
    ( spl0_147
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f183,f251,f881]) ).

fof(f885,definition,
    ( spl0_148
  <=> c2_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f886,plain,
    ( c2_1(a105)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f887,plain,
    ( spl0_148
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f184,f251,f885]) ).

fof(f918,definition,
    ( spl0_155
  <=> c1_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f921,plain,
    ( ~ spl0_155
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f194,f315,f918]) ).

fof(f923,definition,
    ( spl0_156
  <=> c0_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f925,plain,
    ( ~ spl0_156
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f195,f315,f923]) ).

fof(f927,definition,
    ( spl0_157
  <=> c2_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f928,plain,
    ( c2_1(a102)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f929,plain,
    ( spl0_157
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f196,f315,f927]) ).

fof(f950,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_26 ),
    inference(resolution,[],[f326,f304]) ).

fof(f951,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f950]) ).

fof(f959,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(resolution,[],[f330,f308]) ).

fof(f960,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(resolution,[],[f330,f304]) ).

fof(f961,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f960]) ).

fof(f962,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f959]) ).

fof(f963,plain,
    ( spl0_55
    | ~ spl0_20
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f961,f329,f303,f445]) ).

fof(f964,plain,
    ( spl0_22
    | ~ spl0_21
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f962,f329,f307,f311]) ).

fof(f967,plain,
    ( ~ c1_1(a167)
    | c3_1(a167)
    | ~ spl0_30
    | spl0_83 ),
    inference(resolution,[],[f342,f583]) ).

fof(f970,definition,
    ( spl0_162
  <=> c3_1(a167) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f974,plain,
    ( ~ c1_1(a135)
    | ~ c0_1(a135)
    | ~ spl0_27
    | spl0_102 ),
    inference(resolution,[],[f672,f330]) ).

fof(f978,definition,
    ( spl0_163
  <=> c1_1(a135) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f982,plain,
    ( ~ c0_1(a135)
    | c3_1(a135)
    | ~ spl0_31
    | spl0_102 ),
    inference(resolution,[],[f346,f672]) ).

fof(f990,plain,
    ( ~ c0_1(a141)
    | ~ spl0_20
    | ~ spl0_26
    | ~ spl0_65 ),
    inference(resolution,[],[f951,f498]) ).

fof(f992,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_26
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(resolution,[],[f990,f507]) ).

fof(f993,plain,
    ( ~ spl0_20
    | ~ spl0_26
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(avatar_contradiction_clause,[],[f992]) ).

fof(f1005,definition,
    ( spl0_164
  <=> c0_1(a163) ),
    introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).

fof(f1018,definition,
    ( spl0_165
  <=> c1_1(a131) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1022,definition,
    ( spl0_166
  <=> c0_1(a110) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1037,plain,
    ( ~ c0_1(a114)
    | ~ c1_1(a114)
    | ~ spl0_41
    | ~ spl0_120 ),
    inference(resolution,[],[f385,f756]) ).

fof(f1038,plain,
    ( ~ c0_1(a118)
    | ~ c1_1(a118)
    | ~ spl0_41
    | ~ spl0_75 ),
    inference(resolution,[],[f385,f546]) ).

fof(f1039,plain,
    ( ~ c0_1(a131)
    | ~ c1_1(a131)
    | ~ spl0_41
    | ~ spl0_69 ),
    inference(resolution,[],[f385,f518]) ).

fof(f1046,definition,
    ( spl0_168
  <=> c0_1(a114) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1048,plain,
    ( ~ spl0_121
    | ~ spl0_168
    | ~ spl0_41
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1037,f755,f384,f1046,f759]) ).

fof(f1052,plain,
    ( c3_1(a114)
    | ~ c0_1(a114)
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(resolution,[],[f389,f756]) ).

fof(f1059,plain,
    ( ~ spl0_168
    | spl0_119
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1052,f755,f388,f750,f1046]) ).

fof(f1081,plain,
    ( ~ c1_1(a106)
    | ~ c0_1(a106)
    | ~ spl0_27
    | spl0_143 ),
    inference(resolution,[],[f863,f330]) ).

fof(f1091,definition,
    ( spl0_169
  <=> c0_1(a105) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1108,plain,
    ( ~ c0_1(a163)
    | c1_1(a163)
    | ~ spl0_46
    | spl0_86 ),
    inference(resolution,[],[f406,f597]) ).

fof(f1114,plain,
    ( spl0_88
    | ~ spl0_164
    | ~ spl0_46
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1108,f596,f405,f1005,f605]) ).

fof(f1127,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_47 ),
    inference(resolution,[],[f411,f304]) ).

fof(f1132,plain,
    ( ~ c0_1(a163)
    | c1_1(a163)
    | ~ spl0_47
    | spl0_87 ),
    inference(resolution,[],[f411,f602]) ).

fof(f1135,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_20
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1127]) ).

fof(f1138,plain,
    ( spl0_88
    | ~ spl0_164
    | ~ spl0_47
    | spl0_87 ),
    inference(avatar_split_clause,[],[f1132,f601,f410,f1005,f605]) ).

fof(f1157,definition,
    ( spl0_170
  <=> c1_1(a113) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1166,plain,
    ( c3_1(a135)
    | c1_1(a135)
    | ~ spl0_49
    | spl0_102 ),
    inference(resolution,[],[f421,f672]) ).

fof(f1186,plain,
    ( ~ c3_1(a118)
    | ~ c1_1(a118)
    | ~ spl0_18
    | ~ spl0_75 ),
    inference(resolution,[],[f297,f546]) ).

fof(f1196,plain,
    ( ~ c3_1(a105)
    | c0_1(a105)
    | ~ spl0_50
    | ~ spl0_148 ),
    inference(resolution,[],[f425,f886]) ).

fof(f1203,definition,
    ( spl0_171
  <=> c0_1(a118) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1216,definition,
    ( spl0_172
  <=> c0_1(a126) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1227,definition,
    ( spl0_173
  <=> c0_1(a112) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1234,definition,
    ( spl0_174
  <=> c1_1(a111) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1289,plain,
    ( ~ c3_1(a113)
    | c0_1(a113)
    | ~ spl0_56
    | spl0_122 ),
    inference(resolution,[],[f452,f765]) ).

fof(f1319,definition,
    ( spl0_176
  <=> c3_1(a128) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1330,plain,
    ( spl0_123
    | ~ spl0_124
    | ~ spl0_56
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1289,f764,f451,f773,f769]) ).

fof(f1333,plain,
    ( spl0_162
    | ~ spl0_85
    | ~ spl0_30
    | spl0_83 ),
    inference(avatar_split_clause,[],[f967,f582,f341,f591,f970]) ).

fof(f1393,plain,
    ( ~ spl0_103
    | ~ spl0_163
    | ~ spl0_27
    | spl0_102 ),
    inference(avatar_split_clause,[],[f974,f671,f329,f978,f675]) ).

fof(f1448,plain,
    ( ~ c3_1(a126)
    | c0_1(a126)
    | ~ spl0_56
    | spl0_110 ),
    inference(resolution,[],[f709,f452]) ).

fof(f1451,plain,
    ( spl0_172
    | ~ spl0_111
    | ~ spl0_56
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1448,f708,f451,f713,f1216]) ).

fof(f1474,plain,
    ( spl0_163
    | spl0_101
    | ~ spl0_49
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1166,f671,f420,f666,f978]) ).

fof(f1484,plain,
    ( c3_1(a114)
    | ~ c1_1(a114)
    | ~ spl0_21
    | ~ spl0_120 ),
    inference(resolution,[],[f308,f756]) ).

fof(f1485,plain,
    ( ~ spl0_121
    | spl0_119
    | ~ spl0_21
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1484,f755,f307,f750,f759]) ).

fof(f1489,plain,
    ( ~ c1_1(a112)
    | ~ c0_1(a112)
    | ~ spl0_22
    | spl0_125 ),
    inference(resolution,[],[f312,f779]) ).

fof(f1495,plain,
    ( ~ spl0_173
    | ~ spl0_127
    | ~ spl0_22
    | spl0_125 ),
    inference(avatar_split_clause,[],[f1489,f778,f311,f787,f1227]) ).

fof(f1503,plain,
    ( ~ c3_1(a126)
    | ~ c1_1(a126)
    | ~ spl0_24
    | spl0_110 ),
    inference(resolution,[],[f319,f709]) ).

fof(f1512,plain,
    ( ~ spl0_112
    | ~ spl0_111
    | ~ spl0_24
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1503,f708,f318,f713,f717]) ).

fof(f1523,plain,
    ( c1_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(resolution,[],[f353,f513]) ).

fof(f1529,definition,
    ( spl0_178
  <=> c1_1(a134) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1551,plain,
    ( ~ c0_1(a135)
    | c1_1(a135)
    | ~ spl0_46
    | spl0_101 ),
    inference(resolution,[],[f406,f667]) ).

fof(f1556,plain,
    ( spl0_163
    | ~ spl0_103
    | ~ spl0_46
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1551,f666,f405,f675,f978]) ).

fof(f1566,plain,
    ( ~ c0_1(a135)
    | c1_1(a135)
    | ~ spl0_47
    | spl0_102 ),
    inference(resolution,[],[f411,f672]) ).

fof(f1613,plain,
    ( ~ c0_1(a131)
    | ~ c1_1(a131)
    | ~ spl0_55
    | ~ spl0_68 ),
    inference(resolution,[],[f446,f513]) ).

fof(f1654,plain,
    ( c3_1(a167)
    | c0_1(a167)
    | ~ spl0_59
    | spl0_83 ),
    inference(resolution,[],[f464,f583]) ).

fof(f1658,plain,
    ( spl0_84
    | spl0_162
    | ~ spl0_59
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1654,f582,f463,f970,f587]) ).

fof(f1720,plain,
    ( ~ spl0_76
    | ~ spl0_171
    | ~ spl0_41
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1038,f545,f384,f1203,f549]) ).

fof(f1721,plain,
    ( ~ spl0_165
    | ~ spl0_70
    | ~ spl0_41
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1039,f517,f384,f521,f1018]) ).

fof(f1726,plain,
    ( ~ spl0_165
    | ~ spl0_70
    | ~ spl0_55
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1613,f512,f445,f521,f1018]) ).

fof(f1758,plain,
    ( ~ spl0_76
    | ~ spl0_74
    | ~ spl0_18
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1186,f545,f296,f540,f549]) ).

fof(f1765,plain,
    ( ~ spl0_70
    | spl0_165
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1523,f512,f352,f1018,f521]) ).

fof(f1782,plain,
    ( ~ c3_1(a167)
    | c0_1(a167)
    | ~ spl0_56
    | spl0_83 ),
    inference(resolution,[],[f583,f452]) ).

fof(f1783,plain,
    ( spl0_84
    | ~ spl0_162
    | ~ spl0_56
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1782,f582,f451,f970,f587]) ).

fof(f1800,plain,
    ( ~ c3_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_18
    | ~ spl0_71 ),
    inference(resolution,[],[f297,f527]) ).

fof(f1801,plain,
    ( ~ c3_1(a131)
    | ~ c1_1(a131)
    | ~ spl0_18
    | ~ spl0_69 ),
    inference(resolution,[],[f297,f518]) ).

fof(f1803,plain,
    ( ~ spl0_165
    | ~ spl0_68
    | ~ spl0_18
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1801,f517,f296,f512,f1018]) ).

fof(f1804,plain,
    ( ~ spl0_72
    | ~ spl0_176
    | ~ spl0_18
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1800,f526,f296,f1319,f531]) ).

fof(f1850,plain,
    ( ~ c0_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_41
    | ~ spl0_71 ),
    inference(resolution,[],[f385,f527]) ).

fof(f1852,plain,
    ( ~ spl0_72
    | ~ spl0_73
    | ~ spl0_41
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1850,f526,f384,f535,f531]) ).

fof(f1858,plain,
    ( c1_1(a110)
    | c3_1(a110)
    | ~ spl0_44
    | ~ spl0_133 ),
    inference(resolution,[],[f398,f816]) ).

fof(f1865,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_44
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1858,f815,f397,f811,f806]) ).

fof(f1867,definition,
    ( spl0_182
  <=> c3_1(a102) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1911,plain,
    ( ~ spl0_145
    | ~ spl0_144
    | ~ spl0_27
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1081,f862,f329,f867,f871]) ).

fof(f1912,plain,
    ( spl0_169
    | ~ spl0_147
    | ~ spl0_50
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1196,f885,f424,f881,f1091]) ).

fof(f1932,plain,
    ( ~ c3_1(a134)
    | c1_1(a134)
    | ~ spl0_48
    | spl0_104 ),
    inference(resolution,[],[f681,f417]) ).

fof(f1935,plain,
    ( spl0_178
    | ~ spl0_105
    | ~ spl0_48
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1932,f680,f416,f685,f1529]) ).

fof(f1944,plain,
    ( ~ c3_1(a113)
    | ~ c1_1(a113)
    | ~ spl0_24
    | spl0_122 ),
    inference(resolution,[],[f319,f765]) ).

fof(f1945,plain,
    ( ~ c3_1(a134)
    | ~ c1_1(a134)
    | ~ spl0_24
    | spl0_104 ),
    inference(resolution,[],[f319,f681]) ).

fof(f1949,plain,
    ( ~ c3_1(a167)
    | ~ c1_1(a167)
    | ~ spl0_24
    | spl0_83 ),
    inference(resolution,[],[f319,f583]) ).

fof(f1952,plain,
    ( ~ spl0_85
    | ~ spl0_162
    | ~ spl0_24
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1949,f582,f318,f970,f591]) ).

fof(f1953,plain,
    ( ~ spl0_178
    | ~ spl0_105
    | ~ spl0_24
    | spl0_104 ),
    inference(avatar_split_clause,[],[f1945,f680,f318,f685,f1529]) ).

fof(f1960,plain,
    ( spl0_163
    | ~ spl0_103
    | ~ spl0_47
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1566,f671,f410,f675,f978]) ).

fof(f1962,plain,
    ( ~ spl0_170
    | ~ spl0_124
    | ~ spl0_24
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1944,f764,f318,f773,f1157]) ).

fof(f1974,plain,
    ( c1_1(a110)
    | ~ c0_1(a110)
    | ~ spl0_40
    | ~ spl0_133 ),
    inference(resolution,[],[f381,f816]) ).

fof(f1993,plain,
    ( ~ c0_1(a187)
    | c1_1(a187)
    | ~ spl0_47
    | spl0_80 ),
    inference(resolution,[],[f411,f569]) ).

fof(f1996,plain,
    ( spl0_81
    | ~ spl0_82
    | ~ spl0_47
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1993,f568,f410,f577,f573]) ).

fof(f2002,plain,
    ( ~ c0_1(a110)
    | c1_1(a110)
    | ~ spl0_46
    | spl0_131 ),
    inference(resolution,[],[f406,f807]) ).

fof(f2008,plain,
    ( ~ c0_1(a139)
    | c1_1(a139)
    | ~ spl0_46
    | spl0_98 ),
    inference(resolution,[],[f406,f653]) ).

fof(f2015,plain,
    ( spl0_99
    | ~ spl0_100
    | ~ spl0_46
    | spl0_98 ),
    inference(avatar_split_clause,[],[f2008,f652,f405,f661,f657]) ).

fof(f2020,plain,
    ( ~ c3_1(a102)
    | c0_1(a102)
    | ~ spl0_50
    | ~ spl0_157 ),
    inference(resolution,[],[f425,f928]) ).

fof(f2033,plain,
    ( spl0_156
    | ~ spl0_182
    | ~ spl0_50
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2020,f927,f424,f1867,f923]) ).

fof(f2040,plain,
    ( ~ c1_1(a109)
    | c0_1(a109)
    | ~ spl0_54
    | spl0_134 ),
    inference(resolution,[],[f442,f821]) ).

fof(f2042,plain,
    ( ~ c1_1(a111)
    | c0_1(a111)
    | ~ spl0_54
    | spl0_128 ),
    inference(resolution,[],[f442,f793]) ).

fof(f2043,plain,
    ( ~ c1_1(a112)
    | c0_1(a112)
    | ~ spl0_54
    | spl0_125 ),
    inference(resolution,[],[f442,f779]) ).

fof(f2044,plain,
    ( ~ c1_1(a114)
    | c0_1(a114)
    | ~ spl0_54
    | spl0_119 ),
    inference(resolution,[],[f442,f751]) ).

fof(f2051,plain,
    ( spl0_168
    | ~ spl0_121
    | ~ spl0_54
    | spl0_119 ),
    inference(avatar_split_clause,[],[f2044,f750,f441,f759,f1046]) ).

fof(f2052,plain,
    ( spl0_173
    | ~ spl0_127
    | ~ spl0_54
    | spl0_125 ),
    inference(avatar_split_clause,[],[f2043,f778,f441,f787,f1227]) ).

fof(f2053,plain,
    ( spl0_130
    | ~ spl0_174
    | ~ spl0_54
    | spl0_128 ),
    inference(avatar_split_clause,[],[f2042,f792,f441,f1234,f801]) ).

fof(f2055,plain,
    ( spl0_135
    | ~ spl0_136
    | ~ spl0_54
    | spl0_134 ),
    inference(avatar_split_clause,[],[f2040,f820,f441,f829,f825]) ).

fof(f2062,plain,
    ( c0_1(a105)
    | c1_1(a105)
    | ~ spl0_60
    | ~ spl0_147 ),
    inference(resolution,[],[f468,f882]) ).

fof(f2064,plain,
    ( c0_1(a113)
    | c1_1(a113)
    | ~ spl0_60
    | ~ spl0_124 ),
    inference(resolution,[],[f468,f774]) ).

fof(f2067,plain,
    ( c0_1(a132)
    | c1_1(a132)
    | ~ spl0_60
    | ~ spl0_109 ),
    inference(resolution,[],[f468,f704]) ).

fof(f2077,plain,
    ( spl0_107
    | spl0_108
    | ~ spl0_60
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f2067,f703,f467,f699,f694]) ).

fof(f2079,plain,
    ( spl0_170
    | spl0_123
    | ~ spl0_60
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2064,f773,f467,f769,f1157]) ).

fof(f2080,plain,
    ( spl0_146
    | spl0_169
    | ~ spl0_60
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2062,f881,f467,f1091,f876]) ).

fof(f2083,plain,
    ( spl0_33
    | ~ spl0_20
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f1135,f410,f303,f352]) ).

fof(f2113,plain,
    ( ~ spl0_166
    | spl0_132
    | ~ spl0_40
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1974,f815,f380,f811,f1022]) ).

fof(f2115,plain,
    ( spl0_132
    | ~ spl0_166
    | ~ spl0_46
    | spl0_131 ),
    inference(avatar_split_clause,[],[f2002,f806,f405,f1022,f811]) ).

fof(f2116,plain,
    ( c1_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_40
    | ~ spl0_69 ),
    inference(resolution,[],[f518,f381]) ).

fof(f2119,plain,
    ( ~ spl0_70
    | spl0_165
    | ~ spl0_40
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2116,f517,f380,f1018,f521]) ).

fof(f2122,plain,
    ( ~ c3_1(a118)
    | c0_1(a118)
    | ~ spl0_50
    | ~ spl0_75 ),
    inference(resolution,[],[f546,f425]) ).

fof(f2123,plain,
    ( spl0_171
    | ~ spl0_74
    | ~ spl0_50
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2122,f545,f424,f540,f1203]) ).

fof(f2131,plain,
    ( c1_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_33
    | ~ spl0_147 ),
    inference(resolution,[],[f353,f882]) ).

fof(f2134,plain,
    ( c1_1(a117)
    | ~ c0_1(a117)
    | ~ spl0_33
    | ~ spl0_114 ),
    inference(resolution,[],[f353,f728]) ).

fof(f2139,plain,
    ( c1_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(resolution,[],[f353,f513]) ).

fof(f2142,plain,
    ( ~ spl0_70
    | spl0_165
    | ~ spl0_33
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f2139,f512,f352,f1018,f521]) ).

fof(f2144,plain,
    ( ~ spl0_115
    | spl0_113
    | ~ spl0_33
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2134,f727,f352,f722,f731]) ).

fof(f2145,plain,
    ( ~ spl0_169
    | spl0_146
    | ~ spl0_33
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f2131,f881,f352,f876,f1091]) ).

fof(f2149,plain,
    ( ~ c3_1(a102)
    | c1_1(a102)
    | ~ spl0_38
    | ~ spl0_157 ),
    inference(resolution,[],[f374,f928]) ).

fof(f2156,plain,
    ( ~ c3_1(a131)
    | c1_1(a131)
    | ~ spl0_38
    | ~ spl0_69 ),
    inference(resolution,[],[f374,f518]) ).

fof(f2158,plain,
    ( spl0_165
    | ~ spl0_68
    | ~ spl0_38
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2156,f517,f373,f512,f1018]) ).

fof(f2159,plain,
    ( spl0_155
    | ~ spl0_182
    | ~ spl0_38
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2149,f927,f373,f1867,f918]) ).

fof(f2164,plain,
    ( c3_1(a111)
    | c1_1(a111)
    | ~ spl0_49
    | spl0_129 ),
    inference(resolution,[],[f421,f798]) ).

fof(f2171,plain,
    ( c3_1(a163)
    | c1_1(a163)
    | ~ spl0_49
    | spl0_87 ),
    inference(resolution,[],[f421,f602]) ).

fof(f2177,plain,
    ( spl0_88
    | spl0_86
    | ~ spl0_49
    | spl0_87 ),
    inference(avatar_split_clause,[],[f2171,f601,f420,f596,f605]) ).

fof(f2179,plain,
    ( spl0_174
    | spl0_128
    | ~ spl0_49
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2164,f797,f420,f792,f1234]) ).

fof(f2181,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_49
    | ~ spl0_53 ),
    inference(resolution,[],[f438,f421]) ).

fof(f2184,plain,
    ( c0_1(a110)
    | c3_1(a110)
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(resolution,[],[f438,f816]) ).

fof(f2190,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_49
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f2181]) ).

fof(f2192,plain,
    ( spl0_131
    | spl0_166
    | ~ spl0_53
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f2184,f815,f437,f1022,f806]) ).

fof(f2195,plain,
    ( spl0_62
    | ~ spl0_49
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2190,f437,f420,f479]) ).

fof(f2217,plain,
    ( c3_1(a128)
    | ~ c1_1(a128)
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(resolution,[],[f308,f527]) ).

fof(f2220,plain,
    ( ~ spl0_72
    | spl0_176
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2217,f526,f307,f1319,f531]) ).

fof(f2229,plain,
    ( c3_1(a116)
    | ~ c0_1(a116)
    | ~ spl0_42
    | ~ spl0_117 ),
    inference(resolution,[],[f389,f742]) ).

fof(f2231,plain,
    ( c3_1(a128)
    | ~ c0_1(a128)
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(resolution,[],[f389,f527]) ).

fof(f2235,plain,
    ( ~ spl0_73
    | spl0_176
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2231,f526,f388,f1319,f535]) ).

fof(f2236,plain,
    ( ~ spl0_118
    | spl0_116
    | ~ spl0_42
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2229,f741,f388,f736,f745]) ).

fof(f2241,plain,
    ( c3_1(a111)
    | c0_1(a111)
    | ~ spl0_59
    | spl0_129 ),
    inference(resolution,[],[f464,f798]) ).

fof(f2248,plain,
    ( c3_1(a163)
    | c0_1(a163)
    | ~ spl0_59
    | spl0_87 ),
    inference(resolution,[],[f464,f602]) ).

fof(f2254,plain,
    ( spl0_164
    | spl0_86
    | ~ spl0_59
    | spl0_87 ),
    inference(avatar_split_clause,[],[f2248,f601,f463,f596,f1005]) ).

fof(f2257,plain,
    ( spl0_130
    | spl0_128
    | ~ spl0_59
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2241,f797,f463,f792,f801]) ).

fof(f2262,plain,
    ( c0_1(a102)
    | c1_1(a102)
    | ~ spl0_61
    | ~ spl0_157 ),
    inference(resolution,[],[f476,f928]) ).

fof(f2271,plain,
    ( spl0_155
    | spl0_156
    | ~ spl0_61
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2262,f927,f475,f923,f918]) ).

fof(f2288,plain,
    ( spl0_101
    | ~ spl0_103
    | ~ spl0_31
    | spl0_102 ),
    inference(avatar_split_clause,[],[f982,f671,f345,f675,f666]) ).

fof(f2320,plain,
    ( c1_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_40
    | ~ spl0_148 ),
    inference(resolution,[],[f886,f381]) ).

fof(f2321,plain,
    ( ~ spl0_169
    | spl0_146
    | ~ spl0_40
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2320,f885,f380,f876,f1091]) ).

fof(f2325,plain,
    ( ~ c3_1(a105)
    | ~ c0_1(a105)
    | ~ spl0_20
    | ~ spl0_148 ),
    inference(resolution,[],[f304,f886]) ).

fof(f2330,plain,
    ( ~ c3_1(a128)
    | ~ c0_1(a128)
    | ~ spl0_20
    | ~ spl0_71 ),
    inference(resolution,[],[f304,f527]) ).

fof(f2331,plain,
    ( ~ c3_1(a131)
    | ~ c0_1(a131)
    | ~ spl0_20
    | ~ spl0_69 ),
    inference(resolution,[],[f304,f518]) ).

fof(f2333,plain,
    ( ~ spl0_70
    | ~ spl0_68
    | ~ spl0_20
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f2331,f517,f303,f512,f521]) ).

fof(f2334,plain,
    ( ~ spl0_73
    | ~ spl0_176
    | ~ spl0_20
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f2330,f526,f303,f1319,f535]) ).

fof(f2337,plain,
    ( ~ spl0_169
    | ~ spl0_147
    | ~ spl0_20
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2325,f885,f303,f881,f1091]) ).

fof(f2341,plain,
    ( ~ c1_1(a111)
    | c3_1(a111)
    | ~ spl0_30
    | spl0_129 ),
    inference(resolution,[],[f342,f798]) ).

fof(f2342,plain,
    ( ~ c1_1(a112)
    | c3_1(a112)
    | ~ spl0_30
    | spl0_126 ),
    inference(resolution,[],[f342,f784]) ).

fof(f2352,plain,
    ( spl0_125
    | ~ spl0_127
    | ~ spl0_30
    | spl0_126 ),
    inference(avatar_split_clause,[],[f2342,f783,f341,f787,f778]) ).

fof(f2353,plain,
    ( spl0_128
    | ~ spl0_174
    | ~ spl0_30
    | spl0_129 ),
    inference(avatar_split_clause,[],[f2341,f797,f341,f1234,f792]) ).

fof(f2377,plain,
    ( c1_1(a102)
    | c3_1(a102)
    | ~ spl0_44
    | ~ spl0_157 ),
    inference(resolution,[],[f398,f928]) ).

fof(f2389,plain,
    ( spl0_182
    | spl0_155
    | ~ spl0_44
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2377,f927,f397,f918,f1867]) ).

fof(f2396,plain,
    ( ~ c0_1(a126)
    | ~ c1_1(a126)
    | ~ spl0_55
    | ~ spl0_111 ),
    inference(resolution,[],[f446,f714]) ).

fof(f2402,plain,
    ( ~ c0_1(a141)
    | ~ c1_1(a141)
    | ~ spl0_55
    | ~ spl0_65 ),
    inference(resolution,[],[f446,f498]) ).

fof(f2404,plain,
    ( ~ spl0_66
    | ~ spl0_67
    | ~ spl0_55
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f2402,f497,f445,f506,f502]) ).

fof(f2408,plain,
    ( ~ spl0_112
    | ~ spl0_172
    | ~ spl0_55
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2396,f713,f445,f1216,f717]) ).

fof(f2414,plain,
    ( c0_1(a111)
    | c1_1(a111)
    | ~ spl0_62
    | spl0_128 ),
    inference(resolution,[],[f480,f793]) ).

fof(f2418,plain,
    ( c0_1(a153)
    | c1_1(a153)
    | ~ spl0_62
    | spl0_89 ),
    inference(resolution,[],[f480,f611]) ).

fof(f2419,plain,
    ( c0_1(a163)
    | c1_1(a163)
    | ~ spl0_62
    | spl0_86 ),
    inference(resolution,[],[f480,f597]) ).

fof(f2423,plain,
    ( spl0_88
    | spl0_164
    | ~ spl0_62
    | spl0_86 ),
    inference(avatar_split_clause,[],[f2419,f596,f479,f1005,f605]) ).

fof(f2426,plain,
    ( spl0_90
    | spl0_91
    | ~ spl0_62
    | spl0_89 ),
    inference(avatar_split_clause,[],[f2418,f610,f479,f619,f615]) ).

fof(f2428,plain,
    ( spl0_174
    | spl0_130
    | ~ spl0_62
    | spl0_128 ),
    inference(avatar_split_clause,[],[f2414,f792,f479,f801,f1234]) ).

fof(f2434,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_30
    | ~ spl0_53 ),
    inference(resolution,[],[f438,f342]) ).

fof(f2438,plain,
    ( c0_1(a102)
    | c3_1(a102)
    | ~ spl0_53
    | ~ spl0_157 ),
    inference(resolution,[],[f438,f928]) ).

fof(f2447,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_30
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f2434]) ).

fof(f2451,plain,
    ( spl0_182
    | spl0_156
    | ~ spl0_53
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2438,f927,f437,f923,f1867]) ).

fof(f2452,plain,
    ( spl0_54
    | ~ spl0_30
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f2447,f437,f341,f441]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f249]) ).

cnf(s3,plain,
    ( spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s5,plain,
    ( spl0_5
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s6,plain,
    ( spl0_3
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_15
    | spl0_16 ),
    inference(sat_conversion,[],[f291]) ).

cnf(s10,plain,
    ( spl0_6
    | ~ spl0_17
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f305]) ).

cnf(s13,plain,
    ( ~ spl0_17
    | spl0_20
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f320]) ).

cnf(s15,plain,
    ( spl0_1
    | ~ spl0_17
    | spl0_23
    | spl0_27 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s16,plain,
    ( spl0_5
    | ~ spl0_17
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f335]) ).

cnf(s17,plain,
    ( ~ spl0_17
    | spl0_21
    | spl0_27
    | spl0_29 ),
    inference(sat_conversion,[],[f339]) ).

cnf(s18,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_30 ),
    inference(sat_conversion,[],[f343]) ).

cnf(s21,plain,
    ( spl0_5
    | ~ spl0_17
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f358]) ).

cnf(s22,plain,
    ( spl0_6
    | ~ spl0_17
    | spl0_33
    | spl0_35 ),
    inference(sat_conversion,[],[f362]) ).

cnf(s24,plain,
    ( spl0_16
    | ~ spl0_17
    | spl0_33
    | spl0_35 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s26,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s28,plain,
    ( spl0_16
    | ~ spl0_17
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s29,plain,
    ( ~ spl0_17
    | spl0_37
    | spl0_40
    | spl0_42 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s30,plain,
    ( ~ spl0_17
    | spl0_26
    | spl0_27
    | spl0_40 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s31,plain,
    ( ~ spl0_17
    | spl0_33
    | spl0_40
    | spl0_43 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s33,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_37
    | spl0_44 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s34,plain,
    ( ~ spl0_17
    | spl0_21
    | spl0_45
    | spl0_46 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s35,plain,
    ( ~ spl0_17
    | spl0_20
    | spl0_24
    | spl0_46 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s37,plain,
    ( ~ spl0_17
    | spl0_27
    | spl0_37
    | spl0_47 ),
    inference(sat_conversion,[],[f413]) ).

cnf(s38,plain,
    ( spl0_15
    | ~ spl0_17
    | spl0_44
    | spl0_47 ),
    inference(sat_conversion,[],[f414]) ).

cnf(s39,plain,
    ( spl0_12
    | ~ spl0_17
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f418]) ).

cnf(s40,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_31
    | spl0_49 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s41,plain,
    ( spl0_6
    | ~ spl0_17
    | spl0_28
    | spl0_50 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s42,plain,
    ( ~ spl0_17
    | spl0_32
    | spl0_42
    | spl0_50 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s43,plain,
    ( spl0_12
    | ~ spl0_17
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s47,plain,
    ( spl0_4
    | ~ spl0_17
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s48,plain,
    ( ~ spl0_17
    | spl0_21
    | spl0_31
    | spl0_54 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s50,plain,
    ( spl0_14
    | ~ spl0_17
    | spl0_35
    | spl0_56 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s51,plain,
    ( ~ spl0_17
    | spl0_40
    | spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s53,plain,
    ( spl0_13
    | ~ spl0_17
    | spl0_55
    | spl0_59 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s54,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_20
    | spl0_60 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s56,plain,
    ( spl0_6
    | ~ spl0_17
    | spl0_30
    | spl0_60 ),
    inference(sat_conversion,[],[f471]) ).

cnf(s57,plain,
    ( ~ spl0_17
    | spl0_27
    | spl0_47
    | spl0_60 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s58,plain,
    ( ~ spl0_17
    | spl0_55
    | spl0_56
    | spl0_60 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s59,plain,
    ( ~ spl0_17
    | spl0_32
    | spl0_55
    | spl0_61 ),
    inference(sat_conversion,[],[f477]) ).

cnf(s60,plain,
    ( spl0_4
    | spl0_10
    | ~ spl0_17
    | spl0_62 ),
    inference(sat_conversion,[],[f481]) ).

cnf(s62,plain,
    ( spl0_11
    | ~ spl0_17
    | spl0_62 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s63,plain,
    ( ~ spl0_17
    | spl0_42
    | spl0_53
    | spl0_62 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s69,plain,
    ( ~ spl0_16
    | spl0_65 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s70,plain,
    ( ~ spl0_16
    | spl0_66 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s71,plain,
    ( ~ spl0_16
    | spl0_67 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s73,plain,
    ( ~ spl0_15
    | spl0_68 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s74,plain,
    ( ~ spl0_15
    | spl0_69 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s75,plain,
    ( ~ spl0_15
    | spl0_70 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s77,plain,
    ( ~ spl0_28
    | spl0_71 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s78,plain,
    ( ~ spl0_28
    | spl0_72 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s79,plain,
    ( ~ spl0_28
    | spl0_73 ),
    inference(sat_conversion,[],[f537]) ).

cnf(s81,plain,
    ( ~ spl0_35
    | spl0_74 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s82,plain,
    ( ~ spl0_35
    | spl0_75 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s83,plain,
    ( ~ spl0_35
    | spl0_76 ),
    inference(sat_conversion,[],[f551]) ).

cnf(s89,plain,
    ( ~ spl0_7
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s90,plain,
    ( ~ spl0_7
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f575]) ).

cnf(s91,plain,
    ( ~ spl0_7
    | spl0_82 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s93,plain,
    ( ~ spl0_3
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s94,plain,
    ( ~ spl0_3
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f589]) ).

cnf(s95,plain,
    ( ~ spl0_3
    | spl0_85 ),
    inference(sat_conversion,[],[f593]) ).

cnf(s96,plain,
    ( ~ spl0_3
    | spl0_17 ),
    inference(sat_conversion,[],[f594]) ).

cnf(s97,plain,
    ( ~ spl0_1
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s98,plain,
    ( ~ spl0_1
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s99,plain,
    ( ~ spl0_1
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f607]) ).

cnf(s100,plain,
    ( ~ spl0_1
    | spl0_17 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s101,plain,
    ( ~ spl0_34
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s102,plain,
    ( ~ spl0_34
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s103,plain,
    ( ~ spl0_34
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f621]) ).

cnf(s113,plain,
    ( ~ spl0_43
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s114,plain,
    ( ~ spl0_43
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f659]) ).

cnf(s115,plain,
    ( ~ spl0_43
    | spl0_100 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s117,plain,
    ( ~ spl0_19
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s118,plain,
    ( ~ spl0_19
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f673]) ).

cnf(s119,plain,
    ( ~ spl0_19
    | spl0_103 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s121,plain,
    ( ~ spl0_45
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s122,plain,
    ( ~ spl0_45
    | spl0_105 ),
    inference(sat_conversion,[],[f687]) ).

cnf(s125,plain,
    ( ~ spl0_37
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s126,plain,
    ( ~ spl0_37
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f701]) ).

cnf(s127,plain,
    ( ~ spl0_37
    | spl0_109 ),
    inference(sat_conversion,[],[f705]) ).

cnf(s129,plain,
    ( ~ spl0_12
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s130,plain,
    ( ~ spl0_12
    | spl0_111 ),
    inference(sat_conversion,[],[f715]) ).

cnf(s131,plain,
    ( ~ spl0_12
    | spl0_112 ),
    inference(sat_conversion,[],[f719]) ).

cnf(s133,plain,
    ( ~ spl0_14
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s134,plain,
    ( ~ spl0_14
    | spl0_114 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s135,plain,
    ( ~ spl0_14
    | spl0_115 ),
    inference(sat_conversion,[],[f733]) ).

cnf(s137,plain,
    ( ~ spl0_57
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s138,plain,
    ( ~ spl0_57
    | spl0_117 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s139,plain,
    ( ~ spl0_57
    | spl0_118 ),
    inference(sat_conversion,[],[f747]) ).

cnf(s141,plain,
    ( ~ spl0_13
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f753]) ).

cnf(s142,plain,
    ( ~ spl0_13
    | spl0_120 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s143,plain,
    ( ~ spl0_13
    | spl0_121 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s145,plain,
    ( ~ spl0_29
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s146,plain,
    ( ~ spl0_29
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s147,plain,
    ( ~ spl0_29
    | spl0_124 ),
    inference(sat_conversion,[],[f775]) ).

cnf(s149,plain,
    ( ~ spl0_6
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f781]) ).

cnf(s150,plain,
    ( ~ spl0_6
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f785]) ).

cnf(s151,plain,
    ( ~ spl0_6
    | spl0_127 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s153,plain,
    ( ~ spl0_32
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s154,plain,
    ( ~ spl0_32
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f799]) ).

cnf(s155,plain,
    ( ~ spl0_32
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s157,plain,
    ( ~ spl0_10
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s158,plain,
    ( ~ spl0_10
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s159,plain,
    ( ~ spl0_10
    | spl0_133 ),
    inference(sat_conversion,[],[f817]) ).

cnf(s161,plain,
    ( ~ spl0_4
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s162,plain,
    ( ~ spl0_4
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s163,plain,
    ( ~ spl0_4
    | spl0_136 ),
    inference(sat_conversion,[],[f831]) ).

cnf(s164,plain,
    ( ~ spl0_4
    | spl0_17 ),
    inference(sat_conversion,[],[f832]) ).

cnf(s173,plain,
    ( ~ spl0_11
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s174,plain,
    ( ~ spl0_11
    | spl0_144 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s175,plain,
    ( ~ spl0_11
    | spl0_145 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s177,plain,
    ( ~ spl0_5
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s178,plain,
    ( ~ spl0_5
    | spl0_147 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s179,plain,
    ( ~ spl0_5
    | spl0_148 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s189,plain,
    ( ~ spl0_23
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s190,plain,
    ( ~ spl0_23
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f925]) ).

cnf(s191,plain,
    ( ~ spl0_23
    | spl0_157 ),
    inference(sat_conversion,[],[f929]) ).

cnf(s198,plain,
    ( ~ spl0_20
    | ~ spl0_27
    | spl0_55 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s199,plain,
    ( ~ spl0_21
    | spl0_22
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f964]) ).

cnf(s204,plain,
    ( ~ spl0_20
    | ~ spl0_26
    | ~ spl0_65
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f993]) ).

cnf(s213,plain,
    ( ~ spl0_41
    | ~ spl0_120
    | ~ spl0_121
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1048]) ).

cnf(s215,plain,
    ( ~ spl0_42
    | spl0_119
    | ~ spl0_120
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s227,plain,
    ( ~ spl0_46
    | spl0_86
    | spl0_88
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s233,plain,
    ( ~ spl0_47
    | spl0_87
    | spl0_88
    | ~ spl0_164 ),
    inference(sat_conversion,[],[f1138]) ).

cnf(s275,plain,
    ( ~ spl0_56
    | spl0_122
    | spl0_123
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f1330]) ).

cnf(s278,plain,
    ( ~ spl0_30
    | spl0_83
    | ~ spl0_85
    | spl0_162 ),
    inference(sat_conversion,[],[f1333]) ).

cnf(s307,plain,
    ( ~ spl0_27
    | spl0_102
    | ~ spl0_103
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1393]) ).

cnf(s362,plain,
    ( ~ spl0_56
    | spl0_110
    | ~ spl0_111
    | spl0_172 ),
    inference(sat_conversion,[],[f1451]) ).

cnf(s375,plain,
    ( ~ spl0_49
    | spl0_101
    | spl0_102
    | spl0_163 ),
    inference(sat_conversion,[],[f1474]) ).

cnf(s377,plain,
    ( ~ spl0_21
    | spl0_119
    | ~ spl0_120
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1485]) ).

cnf(s380,plain,
    ( ~ spl0_22
    | spl0_125
    | ~ spl0_127
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1495]) ).

cnf(s382,plain,
    ( ~ spl0_24
    | spl0_110
    | ~ spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1512]) ).

cnf(s393,plain,
    ( ~ spl0_46
    | spl0_101
    | ~ spl0_103
    | spl0_163 ),
    inference(sat_conversion,[],[f1556]) ).

cnf(s412,plain,
    ( ~ spl0_59
    | spl0_83
    | spl0_84
    | spl0_162 ),
    inference(sat_conversion,[],[f1658]) ).

cnf(s434,plain,
    ( ~ spl0_41
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1720]) ).

cnf(s435,plain,
    ( ~ spl0_41
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1721]) ).

cnf(s440,plain,
    ( ~ spl0_55
    | ~ spl0_68
    | ~ spl0_70
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1726]) ).

cnf(s454,plain,
    ( ~ spl0_18
    | ~ spl0_74
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(sat_conversion,[],[f1758]) ).

cnf(s461,plain,
    ( ~ spl0_33
    | ~ spl0_68
    | ~ spl0_70
    | spl0_165 ),
    inference(sat_conversion,[],[f1765]) ).

cnf(s478,plain,
    ( ~ spl0_56
    | spl0_83
    | spl0_84
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1783]) ).

cnf(s480,plain,
    ( ~ spl0_18
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1803]) ).

cnf(s481,plain,
    ( ~ spl0_18
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1804]) ).

cnf(s494,plain,
    ( ~ spl0_41
    | ~ spl0_71
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f1852]) ).

cnf(s497,plain,
    ( ~ spl0_44
    | spl0_131
    | spl0_132
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s507,plain,
    ( ~ spl0_27
    | spl0_143
    | ~ spl0_144
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1911]) ).

cnf(s509,plain,
    ( ~ spl0_50
    | ~ spl0_147
    | ~ spl0_148
    | spl0_169 ),
    inference(sat_conversion,[],[f1912]) ).

cnf(s530,plain,
    ( ~ spl0_48
    | spl0_104
    | ~ spl0_105
    | spl0_178 ),
    inference(sat_conversion,[],[f1935]) ).

cnf(s532,plain,
    ( ~ spl0_24
    | spl0_83
    | ~ spl0_85
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1952]) ).

cnf(s533,plain,
    ( ~ spl0_24
    | spl0_104
    | ~ spl0_105
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1953]) ).

cnf(s540,plain,
    ( ~ spl0_47
    | spl0_102
    | ~ spl0_103
    | spl0_163 ),
    inference(sat_conversion,[],[f1960]) ).

cnf(s542,plain,
    ( ~ spl0_24
    | spl0_122
    | ~ spl0_124
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1962]) ).

cnf(s545,plain,
    ( ~ spl0_47
    | spl0_80
    | spl0_81
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f1996]) ).

cnf(s551,plain,
    ( ~ spl0_46
    | spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f2015]) ).

cnf(s555,plain,
    ( ~ spl0_50
    | spl0_156
    | ~ spl0_157
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2033]) ).

cnf(s562,plain,
    ( ~ spl0_54
    | spl0_119
    | ~ spl0_121
    | spl0_168 ),
    inference(sat_conversion,[],[f2051]) ).

cnf(s563,plain,
    ( ~ spl0_54
    | spl0_125
    | ~ spl0_127
    | spl0_173 ),
    inference(sat_conversion,[],[f2052]) ).

cnf(s564,plain,
    ( ~ spl0_54
    | spl0_128
    | spl0_130
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2053]) ).

cnf(s566,plain,
    ( ~ spl0_54
    | spl0_134
    | spl0_135
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f2055]) ).

cnf(s570,plain,
    ( ~ spl0_60
    | spl0_107
    | spl0_108
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f2077]) ).

cnf(s572,plain,
    ( ~ spl0_60
    | spl0_123
    | ~ spl0_124
    | spl0_170 ),
    inference(sat_conversion,[],[f2079]) ).

cnf(s573,plain,
    ( ~ spl0_60
    | spl0_146
    | ~ spl0_147
    | spl0_169 ),
    inference(sat_conversion,[],[f2080]) ).

cnf(s575,plain,
    ( ~ spl0_20
    | spl0_33
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f2083]) ).

cnf(s605,plain,
    ( ~ spl0_40
    | spl0_132
    | ~ spl0_133
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2113]) ).

cnf(s607,plain,
    ( ~ spl0_46
    | spl0_131
    | spl0_132
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2115]) ).

cnf(s609,plain,
    ( ~ spl0_40
    | ~ spl0_69
    | ~ spl0_70
    | spl0_165 ),
    inference(sat_conversion,[],[f2119]) ).

cnf(s610,plain,
    ( ~ spl0_50
    | ~ spl0_74
    | ~ spl0_75
    | spl0_171 ),
    inference(sat_conversion,[],[f2123]) ).

cnf(s613,plain,
    ( ~ spl0_33
    | ~ spl0_68
    | ~ spl0_70
    | spl0_165 ),
    inference(sat_conversion,[],[f2142]) ).

cnf(s615,plain,
    ( ~ spl0_33
    | spl0_113
    | ~ spl0_114
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f2144]) ).

cnf(s616,plain,
    ( ~ spl0_33
    | spl0_146
    | ~ spl0_147
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2145]) ).

cnf(s617,plain,
    ( ~ spl0_38
    | ~ spl0_68
    | ~ spl0_69
    | spl0_165 ),
    inference(sat_conversion,[],[f2158]) ).

cnf(s618,plain,
    ( ~ spl0_38
    | spl0_155
    | ~ spl0_157
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2159]) ).

cnf(s620,plain,
    ( ~ spl0_49
    | spl0_86
    | spl0_87
    | spl0_88 ),
    inference(sat_conversion,[],[f2177]) ).

cnf(s622,plain,
    ( ~ spl0_49
    | spl0_128
    | spl0_129
    | spl0_174 ),
    inference(sat_conversion,[],[f2179]) ).

cnf(s624,plain,
    ( ~ spl0_53
    | spl0_131
    | ~ spl0_133
    | spl0_166 ),
    inference(sat_conversion,[],[f2192]) ).

cnf(s627,plain,
    ( ~ spl0_49
    | ~ spl0_53
    | spl0_62 ),
    inference(sat_conversion,[],[f2195]) ).

cnf(s641,plain,
    ( ~ spl0_21
    | ~ spl0_71
    | ~ spl0_72
    | spl0_176 ),
    inference(sat_conversion,[],[f2220]) ).

cnf(s644,plain,
    ( ~ spl0_42
    | ~ spl0_71
    | ~ spl0_73
    | spl0_176 ),
    inference(sat_conversion,[],[f2235]) ).

cnf(s645,plain,
    ( ~ spl0_42
    | spl0_116
    | ~ spl0_117
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f2236]) ).

cnf(s646,plain,
    ( ~ spl0_59
    | spl0_86
    | spl0_87
    | spl0_164 ),
    inference(sat_conversion,[],[f2254]) ).

cnf(s649,plain,
    ( ~ spl0_59
    | spl0_128
    | spl0_129
    | spl0_130 ),
    inference(sat_conversion,[],[f2257]) ).

cnf(s650,plain,
    ( ~ spl0_61
    | spl0_155
    | spl0_156
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2271]) ).

cnf(s667,plain,
    ( ~ spl0_31
    | spl0_101
    | spl0_102
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f2288]) ).

cnf(s696,plain,
    ( ~ spl0_40
    | spl0_146
    | ~ spl0_148
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2321]) ).

cnf(s697,plain,
    ( ~ spl0_20
    | ~ spl0_68
    | ~ spl0_69
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f2333]) ).

cnf(s698,plain,
    ( ~ spl0_20
    | ~ spl0_71
    | ~ spl0_73
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2334]) ).

cnf(s701,plain,
    ( ~ spl0_20
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f2337]) ).

cnf(s703,plain,
    ( ~ spl0_30
    | spl0_125
    | spl0_126
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f2352]) ).

cnf(s704,plain,
    ( ~ spl0_30
    | spl0_128
    | spl0_129
    | ~ spl0_174 ),
    inference(sat_conversion,[],[f2353]) ).

cnf(s709,plain,
    ( ~ spl0_44
    | spl0_155
    | ~ spl0_157
    | spl0_182 ),
    inference(sat_conversion,[],[f2389]) ).

cnf(s710,plain,
    ( ~ spl0_55
    | ~ spl0_65
    | ~ spl0_66
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f2404]) ).

cnf(s714,plain,
    ( ~ spl0_55
    | ~ spl0_111
    | ~ spl0_112
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2408]) ).

cnf(s717,plain,
    ( ~ spl0_62
    | spl0_86
    | spl0_88
    | spl0_164 ),
    inference(sat_conversion,[],[f2423]) ).

cnf(s718,plain,
    ( ~ spl0_62
    | spl0_89
    | spl0_90
    | spl0_91 ),
    inference(sat_conversion,[],[f2426]) ).

cnf(s720,plain,
    ( ~ spl0_62
    | spl0_128
    | spl0_130
    | spl0_174 ),
    inference(sat_conversion,[],[f2428]) ).

cnf(s729,plain,
    ( ~ spl0_53
    | spl0_156
    | ~ spl0_157
    | spl0_182 ),
    inference(sat_conversion,[],[f2451]) ).

cnf(s730,plain,
    ( ~ spl0_30
    | ~ spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f2452]) ).

cnf(s731,plain,
    ( spl0_27
    | spl0_47
    | ~ spl0_17 ),
    inference(rat,[],[s570,s125,s126,s127,s37,s57]) ).

cnf(s732,plain,
    ( ~ spl0_11
    | ~ spl0_27 ),
    inference(rat,[],[s507,s173,s174,s175]) ).

cnf(s733,plain,
    ( ~ spl0_34
    | ~ spl0_62 ),
    inference(rat,[],[s718,s101,s102,s103]) ).

cnf(s734,plain,
    ( spl0_6
    | spl0_5
    | ~ spl0_17 ),
    inference(rat,[],[s613,s480,s21,s40,s733,s375,s667,s307,s117,s118,s119,s10,s697,s73,s74,s75,s38,s497,s157,s158,s159,s62,s5,s732,s731,s545,s89,s90,s91,s3]) ).

cnf(s735,plain,
    ( ~ spl0_27
    | spl0_5
    | ~ spl0_17 ),
    inference(rat,[],[s613,s480,s73,s74,s75,s38,s21,s497,s40,s733,s157,s158,s159,s375,s540,s62,s5,s307,s732,s667,s117,s118,s119,s18,s703,s149,s150,s151,s734]) ).

cnf(s737,plain,
    ( ~ spl0_53
    | spl0_131
    | spl0_132
    | ~ spl0_133
    | spl0_62
    | spl0_20
    | ~ spl0_23
    | ~ spl0_17 ),
    inference(rat,[],[s382,s129,s130,s131,s35,s43,s607,s555,s624,s627,s729,s191,s190]) ).

cnf(s739,plain,
    ( ~ spl0_53
    | spl0_131
    | spl0_132
    | ~ spl0_133
    | spl0_62
    | spl0_41
    | ~ spl0_23
    | spl0_27
    | ~ spl0_17 ),
    inference(rat,[],[s204,s69,s71,s28,s30,s605,s737,s624]) ).

cnf(s740,plain,
    ( spl0_55
    | ~ spl0_49
    | spl0_61
    | spl0_4
    | ~ spl0_17 ),
    inference(rat,[],[s622,s564,s153,s154,s155,s59,s47]) ).

cnf(s741,plain,
    ( ~ spl0_16
    | ~ spl0_55 ),
    inference(rat,[],[s710,s69,s70,s71]) ).

cnf(s742,plain,
    ( ~ spl0_55
    | spl0_41
    | ~ spl0_17
    | spl0_1 ),
    inference(rat,[],[s440,s609,s73,s74,s75,s8,s28,s741]) ).

cnf(s743,plain,
    ( spl0_5
    | spl0_4
    | ~ spl0_17
    | spl0_1 ),
    inference(rat,[],[s739,s157,s158,s159,s63,s60,s644,s720,s481,s564,s40,s153,s155,s740,s59,s47,s742,s650,s494,s189,s190,s191,s77,s78,s79,s15,s16,s735,s667,s117,s118,s119,s18,s703,s149,s150,s151,s734]) ).

cnf(s744,plain,
    ( ~ spl0_35
    | ~ spl0_18 ),
    inference(rat,[],[s454,s81,s82,s83]) ).

cnf(s745,plain,
    ( ~ spl0_55
    | spl0_35
    | ~ spl0_17
    | spl0_1 ),
    inference(rat,[],[s435,s613,s73,s74,s75,s24,s8,s742,s741]) ).

cnf(s747,plain,
    ( ~ spl0_55
    | spl0_49
    | ~ spl0_17
    | spl0_1 ),
    inference(rat,[],[s551,s35,s113,s114,s115,s382,s31,s129,s130,s131,s461,s609,s43,s697,s435,s610,s434,s73,s74,s75,s81,s82,s83,s8,s745,s742,s741]) ).

cnf(s748,plain,
    ( spl0_27
    | spl0_55
    | spl0_4
    | ~ spl0_17
    | spl0_1 ),
    inference(rat,[],[s63,s739,s215,s213,s157,s158,s159,s562,s60,s141,s142,s143,s720,s53,s564,s649,s153,s154,s155,s59,s650,s189,s190,s191,s15,s47]) ).

cnf(s749,plain,
    ( ~ spl0_6
    | spl0_20
    | ~ spl0_27
    | ~ spl0_54
    | ~ spl0_17 ),
    inference(rat,[],[s382,s129,s130,s131,s39,s530,s533,s121,s122,s34,s35,s393,s540,s307,s199,s117,s118,s119,s380,s18,s563,s703,s149,s150,s151]) ).

cnf(s750,plain,
    ( spl0_60
    | spl0_6
    | spl0_55
    | ~ spl0_3 ),
    inference(rat,[],[s478,s278,s58,s56,s96,s95,s94,s93]) ).

cnf(s751,plain,
    ( spl0_49
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s22,s616,s744,s573,s40,s750,s667,s117,s118,s119,s10,s749,s198,s748,s47,s747,s178,s177,s743,s96]) ).

cnf(s752,plain,
    ( ~ spl0_55
    | ~ spl0_17
    | spl0_1 ),
    inference(rat,[],[s570,s125,s126,s127,s26,s54,s617,s461,s697,s435,s73,s74,s75,s744,s8,s745,s742,s741]) ).

cnf(s753,plain,
    ( spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s375,s307,s117,s118,s119,s10,s749,s198,s748,s47,s751,s752,s96]) ).

cnf(s756,plain,
    ( ~ spl0_37
    | ~ spl0_60 ),
    inference(rat,[],[s570,s125,s126,s127]) ).

cnf(s757,plain,
    ( spl0_40
    | spl0_37
    | spl0_56
    | ~ spl0_17 ),
    inference(rat,[],[s645,s137,s138,s139,s29,s51]) ).

cnf(s758,plain,
    ( ~ spl0_30
    | spl0_42
    | ~ spl0_32
    | spl0_54
    | ~ spl0_17 ),
    inference(rat,[],[s720,s63,s704,s730,s155,s154,s153]) ).

cnf(s759,plain,
    ( ~ spl0_19
    | ~ spl0_31 ),
    inference(rat,[],[s117,s667,s118,s119]) ).

cnf(s760,plain,
    ( ~ spl0_6
    | ~ spl0_30 ),
    inference(rat,[],[s703,s149,s150,s151]) ).

cnf(s761,plain,
    ( spl0_27
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s644,s698,s77,s79,s10,s41,s760,s555,s758,s709,s18,s33,s759,s756,s58,s275,s145,s146,s147,s17,s48,s377,s141,s142,s143,s53,s649,s153,s154,s155,s59,s650,s189,s190,s191,s15,s752,s96,s566,s161,s162,s163,s753]) ).

cnf(s762,plain,
    ( spl0_169
    | spl0_49
    | ~ spl0_27
    | spl0_55
    | ~ spl0_3 ),
    inference(rat,[],[s307,s393,s117,s118,s119,s35,s18,s382,s760,s129,s130,s131,s750,s43,s573,s509,s198,s179,s178,s177,s735,s96]) ).

cnf(s763,plain,
    ( spl0_162
    | spl0_54
    | spl0_55
    | spl0_83
    | spl0_84
    | ~ spl0_85
    | ~ spl0_17 ),
    inference(rat,[],[s48,s377,s759,s141,s142,s143,s18,s53,s278,s412]) ).

cnf(s764,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s696,s757,s573,s756,s58,s478,s763,s177,s178,s179,s735,s761,s566,s161,s162,s163,s753,s752,s93,s94,s95,s96]) ).

cnf(s765,plain,
    ( spl0_27
    | spl0_1 ),
    inference(rat,[],[s573,s701,s177,s178,s179,s10,s734,s58,s760,s275,s18,s145,s146,s147,s759,s17,s48,s377,s141,s142,s143,s53,s649,s153,s154,s155,s59,s650,s189,s190,s191,s15,s752,s164,s566,s161,s162,s163,s2,s764]) ).

cnf(s766,plain,
    spl0_1,
    inference(rat,[],[s48,s759,s377,s18,s141,s142,s143,s704,s53,s720,s649,s153,s154,s155,s59,s650,s189,s190,s191,s13,s382,s129,s130,s131,s6,s62,s198,s732,s765,s566,s752,s161,s162,s163,s164,s2,s764]) ).

cnf(s767,plain,
    spl0_17,
    inference(rat,[],[s100,s766]) ).

cnf(s768,plain,
    ~ spl0_88,
    inference(rat,[],[s99,s766]) ).

cnf(s769,plain,
    ~ spl0_87,
    inference(rat,[],[s98,s766]) ).

cnf(s770,plain,
    ~ spl0_86,
    inference(rat,[],[s97,s766]) ).

cnf(s771,plain,
    ~ spl0_49,
    inference(rat,[],[s620,s768,s769,s770]) ).

cnf(s772,plain,
    ( spl0_19
    | ~ spl0_60 ),
    inference(rat,[],[s573,s701,s177,s178,s179,s10,s734,s760,s18,s767]) ).

cnf(s773,plain,
    ( spl0_27
    | spl0_55 ),
    inference(rat,[],[s618,s729,s189,s190,s191,s13,s26,s575,s615,s63,s133,s134,s135,s215,s50,s562,s744,s48,s40,s759,s772,s542,s572,s756,s58,s275,s145,s146,s147,s17,s377,s141,s142,s143,s53,s646,s717,s233,s731,s767,s771,s769,s770,s768]) ).

cnf(s774,plain,
    ( spl0_55
    | ~ spl0_3 ),
    inference(rat,[],[s744,s40,s22,s759,s749,s18,s763,s278,s532,s35,s227,s616,s717,s177,s178,s62,s762,s198,s735,s732,s773,s95,s94,s93,s767,s771,s768,s770]) ).

cnf(s775,plain,
    ( spl0_19
    | spl0_20 ),
    inference(rat,[],[s760,s10,s18,s767]) ).

cnf(s776,plain,
    ( ~ spl0_14
    | ~ spl0_33 ),
    inference(rat,[],[s615,s133,s134,s135]) ).

cnf(s777,plain,
    ( ~ spl0_28
    | ~ spl0_21
    | ~ spl0_18 ),
    inference(rat,[],[s641,s481,s77,s78]) ).

cnf(s778,plain,
    ( ~ spl0_12
    | ~ spl0_56
    | ~ spl0_55 ),
    inference(rat,[],[s362,s714,s129,s130,s131]) ).

cnf(s779,plain,
    ( ~ spl0_5
    | ~ spl0_50
    | ~ spl0_33 ),
    inference(rat,[],[s616,s509,s177,s178,s179]) ).

cnf(s780,plain,
    ( spl0_31
    | spl0_54
    | ~ spl0_55 ),
    inference(rat,[],[s16,s735,s779,s43,s778,s777,s50,s776,s24,s744,s48,s40,s741,s767,s771]) ).

cnf(s781,plain,
    ( spl0_54
    | ~ spl0_55 ),
    inference(rat,[],[s42,s758,s644,s698,s77,s79,s41,s509,s701,s178,s179,s734,s760,s775,s18,s759,s780,s767]) ).

cnf(s782,plain,
    ( ~ spl0_4
    | ~ spl0_54 ),
    inference(rat,[],[s566,s161,s162,s163]) ).

cnf(s783,plain,
    ( spl0_19
    | ~ spl0_55 ),
    inference(rat,[],[s624,s605,s157,s158,s159,s60,s63,s720,s564,s153,s155,s42,s644,s28,s698,s494,s77,s78,s79,s41,s509,s701,s178,s179,s734,s760,s775,s18,s741,s782,s781,s767]) ).

cnf(s784,plain,
    ~ spl0_55,
    inference(rat,[],[s275,s145,s146,s147,s17,s777,s16,s735,s779,s43,s778,s50,s776,s24,s744,s40,s759,s783,s741,s767,s771]) ).

cnf(s785,plain,
    spl0_27,
    inference(rat,[],[s773,s784]) ).

cnf(s786,plain,
    ~ spl0_3,
    inference(rat,[],[s774,s784]) ).

cnf(s787,plain,
    ~ spl0_11,
    inference(rat,[],[s732,s785]) ).

cnf(s789,plain,
    ~ spl0_20,
    inference(rat,[],[s198,s784,s785]) ).

cnf(s791,plain,
    spl0_62,
    inference(rat,[],[s62,s767,s787]) ).

cnf(s792,plain,
    spl0_12,
    inference(rat,[],[s6,s786,s787]) ).

cnf(s802,plain,
    spl0_164,
    inference(rat,[],[s717,s770,s768,s791]) ).

cnf(s803,plain,
    spl0_112,
    inference(rat,[],[s131,s792]) ).

cnf(s804,plain,
    spl0_111,
    inference(rat,[],[s130,s792]) ).

cnf(s805,plain,
    ~ spl0_110,
    inference(rat,[],[s129,s792]) ).

cnf(s811,plain,
    ~ spl0_46,
    inference(rat,[],[s227,s770,s768,s802]) ).

cnf(s812,plain,
    ~ spl0_24,
    inference(rat,[],[s382,s803,s804,s805]) ).

cnf(s816,plain,
    $false,
    inference(rat,[],[s35,s789,s767,s812,s811]) ).

fof(f2453,plain,
    $false,
    inference(avatar_sat_refutation,[],[s816]) ).

%------------------------------------------------------------------------------
%----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 THM
% 0.09/0.19  % Computer : n011.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 16:09:01 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.97  % (3501264)Detected formulas, will run a generic FOF schedule.
% 0.81/0.97  % (3501275)dis-21_1_sil=8000:lcm=predicate:random_seed=4124071667:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.81/0.97  % (3501275)First to succeed.
% 0.81/0.97  % (3501275)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3501264"
% 0.81/0.97  % (3501272)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1415598588:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.81/0.97  % (3501273)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1769893364:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.81/0.97  % (3501269)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4190460110:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.81/0.97  % (3501270)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2402398763:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.81/0.97  % (3501271)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1463206230:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.81/0.97  % (3501274)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3326147967:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.81/0.97  % (3501274)Also succeeded, but the first one will report.
% 0.81/0.97  % (3501272)Also succeeded, but the first one will report.
% 0.81/0.97  % (3501273)Instruction limit reached! 
% 0.81/0.97  % (3501273)------------------------------
% 0.81/0.97  % (3501273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.81/0.97  % (3501273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.97  % (3501273)CaDiCaL version: 2.1.3
% 0.81/0.97  % (3501273)Termination reason: Instruction limit
% 0.81/0.97  % (3501273)Termination phase: Saturation
% 0.81/0.97  % (3501273)Time elapsed: 0.058 s
% 0.81/0.97  % (3501273)Peak memory usage: 88 MB
% 0.81/0.97  % (3501273)Instructions burned: 119 (million)
% 0.81/0.97  % (3501275)Refutation found. Thanks to Tanya!
% 0.81/0.97  % SZS status Theorem for theBenchmark
% 0.81/0.97  % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.10  % (3501275)------------------------------
% 2.69/1.10  % (3501275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.10  % (3501275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.10  % (3501275)CaDiCaL version: 2.1.3
% 2.69/1.10  % (3501275)Termination reason: Refutation
% 2.69/1.10  % (3501275)Time elapsed: 0.023 s
% 2.69/1.10  % (3501275)Peak memory usage: 90 MB
% 2.69/1.10  % (3501275)Instructions burned: 66 (million)
% 2.69/1.10  % (3501275)------------------------------
% 2.69/1.10  % (3501275)------------------------------
% 2.69/1.10  % (3501264)Success in time 0.307 s
% 2.69/1.10  % Vampire exiting
%------------------------------------------------------------------------------