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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN458+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:09:03 PM UTC 2026

% Result   : Theorem 0.24s 0.37s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :  140
% Syntax   : Number of formulae    :  893 (  30 unt; 139 def)
%            Number of atoms       : 5893 (   0 equ)
%            Maximal formula atoms :  596 (   6 avg)
%            Number of connectives : 7703 (2703   ~;3665   |; 935   &)
%                                         ( 139 <=>; 261  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   98 (   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   :  651 (   0 sgn 651   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a1080)
          & ~ c0_1(a1080)
          & ~ c2_1(a1080) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c3_1(a1081)
          & ~ c0_1(a1081)
          & ~ c1_1(a1081) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c0_1(a1082)
          & ~ c2_1(a1082)
          & ~ c3_1(a1082) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a1083)
          & ~ c2_1(a1083)
          & ~ c3_1(a1083) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a1084)
          & ~ c1_1(a1084)
          & ~ c3_1(a1084) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a1085)
          & ~ c0_1(a1085)
          & ~ c1_1(a1085) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a1086)
          & c2_1(a1086)
          & ~ c1_1(a1086) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ~ c0_1(a1087)
          & ~ c1_1(a1087)
          & ~ c2_1(a1087) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a1088)
          & c3_1(a1088)
          & ~ c2_1(a1088) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a1089)
          & c3_1(a1089)
          & ~ c1_1(a1089) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c0_1(a1090)
          & ~ c1_1(a1090)
          & ~ c3_1(a1090) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a1091)
          & ~ c0_1(a1091)
          & ~ c3_1(a1091) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a1094)
          & c1_1(a1094)
          & ~ c3_1(a1094) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a1095)
          & ~ c1_1(a1095)
          & ~ c2_1(a1095) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a1097)
          & c3_1(a1097)
          & ~ c2_1(a1097) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a1098)
          & ~ c1_1(a1098)
          & ~ c3_1(a1098) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a1100)
          & ~ c0_1(a1100)
          & ~ c3_1(a1100) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a1102)
          & ~ c0_1(a1102)
          & ~ c2_1(a1102) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a1103)
          & c3_1(a1103)
          & ~ c1_1(a1103) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c0_1(a1113)
          & c1_1(a1113)
          & ~ c2_1(a1113) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a1114)
          & ~ c1_1(a1114)
          & ~ c2_1(a1114) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c1_1(a1120)
          & c2_1(a1120)
          & ~ c3_1(a1120) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c1_1(a1121)
          & c3_1(a1121)
          & ~ c0_1(a1121) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a1122)
          & c2_1(a1122)
          & ~ c3_1(a1122) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a1124)
          & c2_1(a1124)
          & ~ c0_1(a1124) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c1_1(a1125)
          & ~ c2_1(a1125)
          & ~ c3_1(a1125) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c2_1(a1146)
          & c3_1(a1146)
          & ~ c0_1(a1146) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a1164)
          & ~ c2_1(a1164)
          & ~ c3_1(a1164) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a1092)
          & c2_1(a1092)
          & c3_1(a1092) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a1101)
          & c2_1(a1101)
          & c3_1(a1101) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a1109)
          & c1_1(a1109)
          & c3_1(a1109) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a1148)
          & c1_1(a1148)
          & c2_1(a1148) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | c3_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)
              | c2_1(X4)
              | ~ c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | ~ c0_1(X5)
              | ~ c1_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c2_1(X7)
              | ~ c3_1(X7) ) )
        | hskp0 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c0_1(X9)
              | ~ c1_1(X9)
              | ~ c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c0_1(X10)
              | ~ c2_1(X10)
              | ~ c3_1(X10) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c2_1(X11) ) )
        | hskp1
        | hskp2 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | c3_1(X13)
              | ~ c1_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | ~ c1_1(X14)
              | ~ c3_1(X14) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c2_1(X16)
              | ~ c1_1(X16) ) )
        | hskp3 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c3_1(X18)
              | ~ c1_1(X18) ) )
        | hskp4 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c2_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | ~ c1_1(X20)
              | ~ c2_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | ~ c1_1(X21)
              | ~ c2_1(X21) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c2_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | ~ c2_1(X23)
              | ~ c3_1(X23) ) )
        | hskp5 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c2_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | c3_1(X25)
              | ~ c0_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c2_1(X26)
              | ~ c0_1(X26)
              | ~ c1_1(X26) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c2_1(X27) ) )
        | hskp6
        | hskp7 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c1_1(X28)
              | ~ c2_1(X28) ) )
        | hskp8
        | hskp9 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c1_1(X29)
              | ~ c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | ~ c1_1(X30)
              | ~ c2_1(X30) ) )
        | hskp10 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c1_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c0_1(X32)
              | ~ c2_1(X32)
              | ~ c3_1(X32) ) )
        | hskp11 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c1_1(X33)
              | ~ c3_1(X33) ) )
        | hskp28
        | hskp1 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | c3_1(X34) ) )
        | hskp12
        | hskp13 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c1_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c1_1(X36)
              | ~ c0_1(X36)
              | ~ c3_1(X36) ) )
        | hskp5 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | hskp14
        | hskp15 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) )
        | hskp0
        | hskp16 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c3_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | ~ c2_1(X40)
              | ~ c3_1(X40) ) )
        | hskp29 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c2_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | ~ c1_1(X42)
              | ~ c3_1(X42) ) )
        | hskp17 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c3_1(X43)
              | ~ c2_1(X43) ) )
        | hskp18 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c2_1(X44) ) )
        | hskp4
        | hskp16 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c1_1(X45)
              | ~ c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c3_1(X46)
              | ~ c2_1(X46) ) )
        | hskp9 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c1_1(X47)
              | ~ c2_1(X47) ) )
        | hskp15
        | hskp17 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | ~ c1_1(X48)
              | ~ c3_1(X48) ) )
        | hskp30
        | hskp18 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c3_1(X49) ) )
        | hskp9
        | hskp2 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c2_1(X50)
              | ~ c3_1(X50) ) )
        | hskp19 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c2_1(X51)
              | ~ c3_1(X51) ) )
        | hskp20
        | hskp3 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c2_1(X52)
              | c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | ~ c0_1(X53)
              | ~ c1_1(X53) ) )
        | hskp9 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c2_1(X54)
              | c3_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | ~ c2_1(X55)
              | ~ c3_1(X55) ) )
        | hskp20 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | c2_1(X56)
              | c3_1(X56) ) )
        | hskp6
        | hskp8 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | ~ c0_1(X57) ) )
        | hskp21
        | hskp22 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | c3_1(X59)
              | ~ c1_1(X59) ) )
        | hskp23 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c2_1(X60)
              | ~ c3_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c2_1(X61)
              | ~ c0_1(X61)
              | ~ c1_1(X61) ) )
        | hskp1 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp24
        | hskp25 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c3_1(X63)
              | ~ c0_1(X63) ) )
        | hskp14
        | hskp13 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c3_1(X64)
              | ~ c2_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | ~ c0_1(X65)
              | ~ c2_1(X65) ) )
        | hskp17 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c0_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | ~ c1_1(X67)
              | ~ c2_1(X67) ) )
        | hskp25 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | ~ c0_1(X68)
              | ~ c2_1(X68) ) )
        | hskp14 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | ~ c0_1(X69)
              | ~ c2_1(X69) ) )
        | hskp0
        | hskp2 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp21 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c2_1(X71)
              | ~ c3_1(X71) ) )
        | hskp14
        | hskp11 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c2_1(X72)
              | ~ c3_1(X72) ) )
        | hskp9
        | hskp11 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c0_1(X73) ) )
        | hskp22
        | hskp5 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | ~ c0_1(X74)
              | ~ c1_1(X74) ) )
        | hskp30
        | hskp9 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | ~ c0_1(X75)
              | ~ c1_1(X75) ) )
        | hskp4
        | hskp1 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | ~ c0_1(X76)
              | ~ c3_1(X76) ) )
        | hskp28
        | hskp9 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | ~ c1_1(X77)
              | ~ c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | ~ c2_1(X78)
              | ~ c3_1(X78) ) )
        | hskp26 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c3_1(X79)
              | ~ c0_1(X79)
              | ~ c1_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( c3_1(X80)
              | ~ c0_1(X80)
              | ~ c2_1(X80) ) )
        | hskp5 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | ~ c0_1(X81)
              | ~ c2_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | ~ c1_1(X82)
              | ~ c2_1(X82) ) )
        | hskp31 )
      & ( ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c1_1(X83)
              | ~ c2_1(X83) ) )
        | hskp5
        | hskp13 )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | ~ c1_1(X84)
              | ~ c3_1(X84) ) )
        | hskp19
        | hskp2 )
      & ( ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c2_1(X85)
              | ~ c3_1(X85) ) )
        | hskp31
        | hskp3 )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp20
        | hskp24 )
      & ( hskp31
        | hskp12
        | hskp13 )
      & ( hskp28
        | hskp6
        | hskp18 )
      & ( hskp20
        | hskp27
        | hskp13 )
      & ( hskp0
        | hskp5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a1080)
            & ~ c0_1(a1080)
            & ~ c2_1(a1080) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c3_1(a1081)
            & ~ c0_1(a1081)
            & ~ c1_1(a1081) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a1082)
            & ~ c2_1(a1082)
            & ~ c3_1(a1082) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a1083)
            & ~ c2_1(a1083)
            & ~ c3_1(a1083) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a1084)
            & ~ c1_1(a1084)
            & ~ c3_1(a1084) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a1085)
            & ~ c0_1(a1085)
            & ~ c1_1(a1085) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a1086)
            & c2_1(a1086)
            & ~ c1_1(a1086) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & ~ c0_1(a1087)
            & ~ c1_1(a1087)
            & ~ c2_1(a1087) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a1088)
            & c3_1(a1088)
            & ~ c2_1(a1088) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a1089)
            & c3_1(a1089)
            & ~ c1_1(a1089) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c0_1(a1090)
            & ~ c1_1(a1090)
            & ~ c3_1(a1090) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a1091)
            & ~ c0_1(a1091)
            & ~ c3_1(a1091) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a1094)
            & c1_1(a1094)
            & ~ c3_1(a1094) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a1095)
            & ~ c1_1(a1095)
            & ~ c2_1(a1095) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a1097)
            & c3_1(a1097)
            & ~ c2_1(a1097) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a1098)
            & ~ c1_1(a1098)
            & ~ c3_1(a1098) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a1100)
            & ~ c0_1(a1100)
            & ~ c3_1(a1100) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a1102)
            & ~ c0_1(a1102)
            & ~ c2_1(a1102) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a1103)
            & c3_1(a1103)
            & ~ c1_1(a1103) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c0_1(a1113)
            & c1_1(a1113)
            & ~ c2_1(a1113) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a1114)
            & ~ c1_1(a1114)
            & ~ c2_1(a1114) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c1_1(a1120)
            & c2_1(a1120)
            & ~ c3_1(a1120) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c1_1(a1121)
            & c3_1(a1121)
            & ~ c0_1(a1121) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a1122)
            & c2_1(a1122)
            & ~ c3_1(a1122) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a1124)
            & c2_1(a1124)
            & ~ c0_1(a1124) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c1_1(a1125)
            & ~ c2_1(a1125)
            & ~ c3_1(a1125) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c2_1(a1146)
            & c3_1(a1146)
            & ~ c0_1(a1146) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a1164)
            & ~ c2_1(a1164)
            & ~ c3_1(a1164) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a1092)
            & c2_1(a1092)
            & c3_1(a1092) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a1101)
            & c2_1(a1101)
            & c3_1(a1101) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a1109)
            & c1_1(a1109)
            & c3_1(a1109) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a1148)
            & c1_1(a1148)
            & c2_1(a1148) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | c3_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)
                | c2_1(X4)
                | ~ c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | ~ c0_1(X5)
                | ~ c1_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c2_1(X7)
                | ~ c3_1(X7) ) )
          | hskp0 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | ~ c1_1(X9)
                | ~ c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | ~ c2_1(X10)
                | ~ c3_1(X10) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c2_1(X11) ) )
          | hskp1
          | hskp2 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c3_1(X13)
                | ~ c1_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | ~ c1_1(X14)
                | ~ c3_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c2_1(X16)
                | ~ c1_1(X16) ) )
          | hskp3 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c3_1(X18)
                | ~ c1_1(X18) ) )
          | hskp4 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c2_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c1_1(X20)
                | ~ c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | ~ c1_1(X21)
                | ~ c2_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) )
          | hskp5 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c3_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | ~ c0_1(X26)
                | ~ c1_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp6
          | hskp7 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | ~ c2_1(X28) ) )
          | hskp8
          | hskp9 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | ~ c1_1(X30)
                | ~ c2_1(X30) ) )
          | hskp10 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c1_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | ~ c2_1(X32)
                | ~ c3_1(X32) ) )
          | hskp11 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c1_1(X33)
                | ~ c3_1(X33) ) )
          | hskp28
          | hskp1 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | c3_1(X34) ) )
          | hskp12
          | hskp13 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | ~ c0_1(X36)
                | ~ c3_1(X36) ) )
          | hskp5 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | hskp14
          | hskp15 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | hskp0
          | hskp16 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c3_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) )
          | hskp29 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | ~ c1_1(X42)
                | ~ c3_1(X42) ) )
          | hskp17 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c3_1(X43)
                | ~ c2_1(X43) ) )
          | hskp18 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c2_1(X44) ) )
          | hskp4
          | hskp16 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c1_1(X45)
                | ~ c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | hskp9 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c1_1(X47)
                | ~ c2_1(X47) ) )
          | hskp15
          | hskp17 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | ~ c1_1(X48)
                | ~ c3_1(X48) ) )
          | hskp30
          | hskp18 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c3_1(X49) ) )
          | hskp9
          | hskp2 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c2_1(X50)
                | ~ c3_1(X50) ) )
          | hskp19 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp20
          | hskp3 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c2_1(X52)
                | c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | ~ c0_1(X53)
                | ~ c1_1(X53) ) )
          | hskp9 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c2_1(X54)
                | c3_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c2_1(X55)
                | ~ c3_1(X55) ) )
          | hskp20 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c2_1(X56)
                | c3_1(X56) ) )
          | hskp6
          | hskp8 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | ~ c0_1(X57) ) )
          | hskp21
          | hskp22 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | c3_1(X59)
                | ~ c1_1(X59) ) )
          | hskp23 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c2_1(X60)
                | ~ c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | ~ c0_1(X61)
                | ~ c1_1(X61) ) )
          | hskp1 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp24
          | hskp25 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c3_1(X63)
                | ~ c0_1(X63) ) )
          | hskp14
          | hskp13 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c3_1(X64)
                | ~ c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | ~ c0_1(X65)
                | ~ c2_1(X65) ) )
          | hskp17 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c0_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | ~ c1_1(X67)
                | ~ c2_1(X67) ) )
          | hskp25 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c0_1(X68)
                | ~ c2_1(X68) ) )
          | hskp14 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c0_1(X69)
                | ~ c2_1(X69) ) )
          | hskp0
          | hskp2 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp21 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c2_1(X71)
                | ~ c3_1(X71) ) )
          | hskp14
          | hskp11 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c2_1(X72)
                | ~ c3_1(X72) ) )
          | hskp9
          | hskp11 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c0_1(X73) ) )
          | hskp22
          | hskp5 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | ~ c0_1(X74)
                | ~ c1_1(X74) ) )
          | hskp30
          | hskp9 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c0_1(X75)
                | ~ c1_1(X75) ) )
          | hskp4
          | hskp1 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c0_1(X76)
                | ~ c3_1(X76) ) )
          | hskp28
          | hskp9 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp26 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | ~ c0_1(X79)
                | ~ c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c3_1(X80)
                | ~ c0_1(X80)
                | ~ c2_1(X80) ) )
          | hskp5 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | ~ c0_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c1_1(X82)
                | ~ c2_1(X82) ) )
          | hskp31 )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c1_1(X83)
                | ~ c2_1(X83) ) )
          | hskp5
          | hskp13 )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c1_1(X84)
                | ~ c3_1(X84) ) )
          | hskp19
          | hskp2 )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c2_1(X85)
                | ~ c3_1(X85) ) )
          | hskp31
          | hskp3 )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp20
          | hskp24 )
        & ( hskp31
          | hskp12
          | hskp13 )
        & ( hskp28
          | hskp6
          | hskp18 )
        & ( hskp20
          | hskp27
          | hskp13 )
        & ( hskp0
          | hskp5 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1080)
        & ~ c0_1(a1080)
        & ~ c2_1(a1080) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c3_1(a1081)
        & ~ c0_1(a1081)
        & ~ c1_1(a1081) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a1082)
        & ~ c2_1(a1082)
        & ~ c3_1(a1082) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1083)
        & ~ c2_1(a1083)
        & ~ c3_1(a1083) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a1084)
        & ~ c1_1(a1084)
        & ~ c3_1(a1084) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a1085)
        & ~ c0_1(a1085)
        & ~ c1_1(a1085) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1086)
        & c2_1(a1086)
        & ~ c1_1(a1086) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c0_1(a1087)
        & ~ c1_1(a1087)
        & ~ c2_1(a1087) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1088)
        & c3_1(a1088)
        & ~ c2_1(a1088) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a1089)
        & c3_1(a1089)
        & ~ c1_1(a1089) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a1090)
        & ~ c1_1(a1090)
        & ~ c3_1(a1090) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a1091)
        & ~ c0_1(a1091)
        & ~ c3_1(a1091) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1094)
        & c1_1(a1094)
        & ~ c3_1(a1094) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a1095)
        & ~ c1_1(a1095)
        & ~ c2_1(a1095) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a1097)
        & c3_1(a1097)
        & ~ c2_1(a1097) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1098)
        & ~ c1_1(a1098)
        & ~ c3_1(a1098) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a1100)
        & ~ c0_1(a1100)
        & ~ c3_1(a1100) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a1102)
        & ~ c0_1(a1102)
        & ~ c2_1(a1102) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a1103)
        & c3_1(a1103)
        & ~ c1_1(a1103) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a1113)
        & c1_1(a1113)
        & ~ c2_1(a1113) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a1114)
        & ~ c1_1(a1114)
        & ~ c2_1(a1114) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a1120)
        & c2_1(a1120)
        & ~ c3_1(a1120) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a1121)
        & c3_1(a1121)
        & ~ c0_1(a1121) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a1122)
        & c2_1(a1122)
        & ~ c3_1(a1122) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a1124)
        & c2_1(a1124)
        & ~ c0_1(a1124) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c1_1(a1125)
        & ~ c2_1(a1125)
        & ~ c3_1(a1125) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a1146)
        & c3_1(a1146)
        & ~ c0_1(a1146) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1164)
        & ~ c2_1(a1164)
        & ~ c3_1(a1164) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1092)
        & c2_1(a1092)
        & c3_1(a1092) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a1101)
        & c2_1(a1101)
        & c3_1(a1101) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1109)
        & c1_1(a1109)
        & c3_1(a1109) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a1148)
        & c1_1(a1148)
        & c2_1(a1148) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | c3_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)
            | c2_1(X4)
            | ~ c3_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | ~ c0_1(X5)
            | ~ c1_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | c1_1(X6)
            | c2_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c2_1(X7)
            | ~ c3_1(X7) ) )
      | hskp0 )
    & ( ! [X8] :
          ( ndr1_0
         => ( c0_1(X8)
            | c1_1(X8)
            | c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c0_1(X9)
            | ~ c1_1(X9)
            | ~ c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c0_1(X10)
            | ~ c2_1(X10)
            | ~ c3_1(X10) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | c2_1(X11) ) )
      | hskp1
      | hskp2 )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c1_1(X12)
            | c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c2_1(X13)
            | c3_1(X13)
            | ~ c1_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | ~ c1_1(X14)
            | ~ c3_1(X14) ) ) )
    & ( ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c1_1(X15)
            | ~ c2_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c0_1(X16)
            | c2_1(X16)
            | ~ c1_1(X16) ) )
      | hskp3 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c3_1(X18)
            | ~ c1_1(X18) ) )
      | hskp4 )
    & ( ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | c1_1(X19)
            | ~ c2_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | ~ c1_1(X20)
            | ~ c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | ~ c1_1(X21)
            | ~ c2_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( c0_1(X22)
            | c1_1(X22)
            | ~ c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | ~ c2_1(X23)
            | ~ c3_1(X23) ) )
      | hskp5 )
    & ( ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c1_1(X24)
            | ~ c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | c3_1(X25)
            | ~ c0_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | ~ c0_1(X26)
            | ~ c1_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( c0_1(X27)
            | c1_1(X27)
            | ~ c2_1(X27) ) )
      | hskp6
      | hskp7 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | ~ c2_1(X28) ) )
      | hskp8
      | hskp9 )
    & ( ! [X29] :
          ( ndr1_0
         => ( c0_1(X29)
            | c1_1(X29)
            | ~ c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | ~ c1_1(X30)
            | ~ c2_1(X30) ) )
      | hskp10 )
    & ( ! [X31] :
          ( ndr1_0
         => ( c0_1(X31)
            | c1_1(X31)
            | ~ c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | ~ c2_1(X32)
            | ~ c3_1(X32) ) )
      | hskp11 )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c1_1(X33)
            | ~ c3_1(X33) ) )
      | hskp28
      | hskp1 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | c2_1(X34)
            | c3_1(X34) ) )
      | hskp12
      | hskp13 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | c2_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c1_1(X36)
            | ~ c0_1(X36)
            | ~ c3_1(X36) ) )
      | hskp5 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c1_1(X37) ) )
      | hskp14
      | hskp15 )
    & ( ! [X38] :
          ( ndr1_0
         => ( c0_1(X38)
            | c2_1(X38)
            | ~ c1_1(X38) ) )
      | hskp0
      | hskp16 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | c3_1(X39)
            | ~ c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | ~ c2_1(X40)
            | ~ c3_1(X40) ) )
      | hskp29 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | c3_1(X41)
            | ~ c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | ~ c1_1(X42)
            | ~ c3_1(X42) ) )
      | hskp17 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | c3_1(X43)
            | ~ c2_1(X43) ) )
      | hskp18 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c0_1(X44)
            | c3_1(X44)
            | ~ c2_1(X44) ) )
      | hskp4
      | hskp16 )
    & ( ! [X45] :
          ( ndr1_0
         => ( c0_1(X45)
            | ~ c1_1(X45)
            | ~ c2_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c3_1(X46)
            | ~ c2_1(X46) ) )
      | hskp9 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c1_1(X47)
            | ~ c2_1(X47) ) )
      | hskp15
      | hskp17 )
    & ( ! [X48] :
          ( ndr1_0
         => ( c0_1(X48)
            | ~ c1_1(X48)
            | ~ c3_1(X48) ) )
      | hskp30
      | hskp18 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c1_1(X49)
            | ~ c3_1(X49) ) )
      | hskp9
      | hskp2 )
    & ( ! [X50] :
          ( ndr1_0
         => ( c0_1(X50)
            | ~ c2_1(X50)
            | ~ c3_1(X50) ) )
      | hskp19 )
    & ( ! [X51] :
          ( ndr1_0
         => ( c0_1(X51)
            | ~ c2_1(X51)
            | ~ c3_1(X51) ) )
      | hskp20
      | hskp3 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c2_1(X52)
            | c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | ~ c0_1(X53)
            | ~ c1_1(X53) ) )
      | hskp9 )
    & ( ! [X54] :
          ( ndr1_0
         => ( c1_1(X54)
            | c2_1(X54)
            | c3_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c2_1(X55)
            | ~ c3_1(X55) ) )
      | hskp20 )
    & ( ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | c2_1(X56)
            | c3_1(X56) ) )
      | hskp6
      | hskp8 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c1_1(X57)
            | c2_1(X57)
            | ~ c0_1(X57) ) )
      | hskp21
      | hskp22 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c1_1(X58)
            | c2_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | c3_1(X59)
            | ~ c1_1(X59) ) )
      | hskp23 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | c2_1(X60)
            | ~ c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | ~ c0_1(X61)
            | ~ c1_1(X61) ) )
      | hskp1 )
    & ( ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c2_1(X62)
            | ~ c3_1(X62) ) )
      | hskp24
      | hskp25 )
    & ( ! [X63] :
          ( ndr1_0
         => ( c1_1(X63)
            | c3_1(X63)
            | ~ c0_1(X63) ) )
      | hskp14
      | hskp13 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c3_1(X64)
            | ~ c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c1_1(X65)
            | ~ c0_1(X65)
            | ~ c2_1(X65) ) )
      | hskp17 )
    & ( ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | ~ c0_1(X66)
            | ~ c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | ~ c1_1(X67)
            | ~ c2_1(X67) ) )
      | hskp25 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c1_1(X68)
            | ~ c0_1(X68)
            | ~ c2_1(X68) ) )
      | hskp14 )
    & ( ! [X69] :
          ( ndr1_0
         => ( c1_1(X69)
            | ~ c0_1(X69)
            | ~ c2_1(X69) ) )
      | hskp0
      | hskp2 )
    & ( ! [X70] :
          ( ndr1_0
         => ( c1_1(X70)
            | ~ c2_1(X70)
            | ~ c3_1(X70) ) )
      | hskp21 )
    & ( ! [X71] :
          ( ndr1_0
         => ( c1_1(X71)
            | ~ c2_1(X71)
            | ~ c3_1(X71) ) )
      | hskp14
      | hskp11 )
    & ( ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | ~ c2_1(X72)
            | ~ c3_1(X72) ) )
      | hskp9
      | hskp11 )
    & ( ! [X73] :
          ( ndr1_0
         => ( c2_1(X73)
            | c3_1(X73)
            | ~ c0_1(X73) ) )
      | hskp22
      | hskp5 )
    & ( ! [X74] :
          ( ndr1_0
         => ( c2_1(X74)
            | ~ c0_1(X74)
            | ~ c1_1(X74) ) )
      | hskp30
      | hskp9 )
    & ( ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | ~ c0_1(X75)
            | ~ c1_1(X75) ) )
      | hskp4
      | hskp1 )
    & ( ! [X76] :
          ( ndr1_0
         => ( c2_1(X76)
            | ~ c0_1(X76)
            | ~ c3_1(X76) ) )
      | hskp28
      | hskp9 )
    & ( ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | ~ c1_1(X77)
            | ~ c3_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | ~ c2_1(X78)
            | ~ c3_1(X78) ) )
      | hskp26 )
    & ( ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | ~ c0_1(X79)
            | ~ c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c3_1(X80)
            | ~ c0_1(X80)
            | ~ c2_1(X80) ) )
      | hskp5 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | ~ c0_1(X81)
            | ~ c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | ~ c1_1(X82)
            | ~ c2_1(X82) ) )
      | hskp31 )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | ~ c1_1(X83)
            | ~ c2_1(X83) ) )
      | hskp5
      | hskp13 )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | ~ c1_1(X84)
            | ~ c3_1(X84) ) )
      | hskp19
      | hskp2 )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c2_1(X85)
            | ~ c3_1(X85) ) )
      | hskp31
      | hskp3 )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c2_1(X86)
            | ~ c3_1(X86) ) )
      | hskp20
      | hskp24 )
    & ( hskp31
      | hskp12
      | hskp13 )
    & ( hskp28
      | hskp6
      | hskp18 )
    & ( hskp20
      | hskp27
      | hskp13 )
    & ( hskp0
      | hskp5 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1080)
        & ~ c0_1(a1080)
        & ~ c2_1(a1080) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c3_1(a1081)
        & ~ c0_1(a1081)
        & ~ c1_1(a1081) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a1082)
        & ~ c2_1(a1082)
        & ~ c3_1(a1082) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1083)
        & ~ c2_1(a1083)
        & ~ c3_1(a1083) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a1084)
        & ~ c1_1(a1084)
        & ~ c3_1(a1084) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a1085)
        & ~ c0_1(a1085)
        & ~ c1_1(a1085) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1086)
        & c2_1(a1086)
        & ~ c1_1(a1086) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c0_1(a1087)
        & ~ c1_1(a1087)
        & ~ c2_1(a1087) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1088)
        & c3_1(a1088)
        & ~ c2_1(a1088) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a1089)
        & c3_1(a1089)
        & ~ c1_1(a1089) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a1090)
        & ~ c1_1(a1090)
        & ~ c3_1(a1090) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a1091)
        & ~ c0_1(a1091)
        & ~ c3_1(a1091) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1094)
        & c1_1(a1094)
        & ~ c3_1(a1094) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a1095)
        & ~ c1_1(a1095)
        & ~ c2_1(a1095) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a1097)
        & c3_1(a1097)
        & ~ c2_1(a1097) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1098)
        & ~ c1_1(a1098)
        & ~ c3_1(a1098) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a1100)
        & ~ c0_1(a1100)
        & ~ c3_1(a1100) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a1102)
        & ~ c0_1(a1102)
        & ~ c2_1(a1102) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a1103)
        & c3_1(a1103)
        & ~ c1_1(a1103) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a1113)
        & c1_1(a1113)
        & ~ c2_1(a1113) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a1114)
        & ~ c1_1(a1114)
        & ~ c2_1(a1114) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a1120)
        & c2_1(a1120)
        & ~ c3_1(a1120) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a1121)
        & c3_1(a1121)
        & ~ c0_1(a1121) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a1122)
        & c2_1(a1122)
        & ~ c3_1(a1122) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a1124)
        & c2_1(a1124)
        & ~ c0_1(a1124) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c1_1(a1125)
        & ~ c2_1(a1125)
        & ~ c3_1(a1125) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a1146)
        & c3_1(a1146)
        & ~ c0_1(a1146) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1164)
        & ~ c2_1(a1164)
        & ~ c3_1(a1164) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1092)
        & c2_1(a1092)
        & c3_1(a1092) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a1101)
        & c2_1(a1101)
        & c3_1(a1101) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1109)
        & c1_1(a1109)
        & c3_1(a1109) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a1148)
        & c1_1(a1148)
        & c2_1(a1148) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_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)
          | c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c3_1(X5)
          | ~ c0_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | c3_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | c3_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c0_1(X20)
          | ~ c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | ~ c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp28
      | hskp1 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c1_1(X36)
          | ~ c0_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | hskp14
      | hskp15 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp0
      | hskp16 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | ~ c1_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp4
      | hskp16 )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp15
      | hskp17 )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c1_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp30
      | hskp18 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp9
      | hskp2 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp20
      | hskp3 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | ~ c0_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 )
      | hskp6
      | hskp8 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c2_1(X61)
          | ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp24
      | hskp25 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c3_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | hskp14
      | hskp13 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c3_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X68] :
          ( c1_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X69] :
          ( c1_1(X69)
          | ~ c0_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp0
      | hskp2 )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X71] :
          ( c1_1(X71)
          | ~ c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp14
      | hskp11 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | hskp9
      | hskp11 )
    & ( ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | hskp22
      | hskp5 )
    & ( ! [X74] :
          ( c2_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp30
      | hskp9 )
    & ( ! [X75] :
          ( c2_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | hskp4
      | hskp1 )
    & ( ! [X76] :
          ( c2_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp28
      | hskp9 )
    & ( ! [X77] :
          ( c2_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X79] :
          ( c3_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c3_1(X80)
          | ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X81] :
          ( c3_1(X81)
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp5
      | hskp13 )
    & ( ! [X84] :
          ( ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp19
      | hskp2 )
    & ( ! [X85] :
          ( ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp31
      | hskp3 )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp20
      | hskp24 )
    & ( hskp31
      | hskp12
      | hskp13 )
    & ( hskp28
      | hskp6
      | hskp18 )
    & ( hskp20
      | hskp27
      | hskp13 )
    & ( hskp0
      | hskp5 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1080)
        & ~ c0_1(a1080)
        & ~ c2_1(a1080) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c3_1(a1081)
        & ~ c0_1(a1081)
        & ~ c1_1(a1081) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & ~ c0_1(a1082)
        & ~ c2_1(a1082)
        & ~ c3_1(a1082) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1083)
        & ~ c2_1(a1083)
        & ~ c3_1(a1083) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a1084)
        & ~ c1_1(a1084)
        & ~ c3_1(a1084) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a1085)
        & ~ c0_1(a1085)
        & ~ c1_1(a1085) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1086)
        & c2_1(a1086)
        & ~ c1_1(a1086) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & ~ c0_1(a1087)
        & ~ c1_1(a1087)
        & ~ c2_1(a1087) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1088)
        & c3_1(a1088)
        & ~ c2_1(a1088) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c2_1(a1089)
        & c3_1(a1089)
        & ~ c1_1(a1089) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c0_1(a1090)
        & ~ c1_1(a1090)
        & ~ c3_1(a1090) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a1091)
        & ~ c0_1(a1091)
        & ~ c3_1(a1091) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a1094)
        & c1_1(a1094)
        & ~ c3_1(a1094) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a1095)
        & ~ c1_1(a1095)
        & ~ c2_1(a1095) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a1097)
        & c3_1(a1097)
        & ~ c2_1(a1097) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1098)
        & ~ c1_1(a1098)
        & ~ c3_1(a1098) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a1100)
        & ~ c0_1(a1100)
        & ~ c3_1(a1100) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a1102)
        & ~ c0_1(a1102)
        & ~ c2_1(a1102) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a1103)
        & c3_1(a1103)
        & ~ c1_1(a1103) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c0_1(a1113)
        & c1_1(a1113)
        & ~ c2_1(a1113) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a1114)
        & ~ c1_1(a1114)
        & ~ c2_1(a1114) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c1_1(a1120)
        & c2_1(a1120)
        & ~ c3_1(a1120) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c1_1(a1121)
        & c3_1(a1121)
        & ~ c0_1(a1121) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a1122)
        & c2_1(a1122)
        & ~ c3_1(a1122) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a1124)
        & c2_1(a1124)
        & ~ c0_1(a1124) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c1_1(a1125)
        & ~ c2_1(a1125)
        & ~ c3_1(a1125) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c2_1(a1146)
        & c3_1(a1146)
        & ~ c0_1(a1146) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1164)
        & ~ c2_1(a1164)
        & ~ c3_1(a1164) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1092)
        & c2_1(a1092)
        & c3_1(a1092) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a1101)
        & c2_1(a1101)
        & c3_1(a1101) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a1109)
        & c1_1(a1109)
        & c3_1(a1109) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a1148)
        & c1_1(a1148)
        & c2_1(a1148) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_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)
          | c2_1(X4)
          | ~ c3_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c3_1(X5)
          | ~ c0_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( c0_1(X6)
          | c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( c0_1(X7)
          | c2_1(X7)
          | ~ c3_1(X7)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X8] :
          ( c0_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c0_1(X10)
          | ~ c2_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ! [X12] :
          ( c0_1(X12)
          | c1_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | c3_1(X13)
          | ~ c1_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( c2_1(X14)
          | ~ c1_1(X14)
          | ~ c3_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X15] :
          ( c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c0_1(X16)
          | c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | hskp3 )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | c3_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X19] :
          ( c0_1(X19)
          | c1_1(X19)
          | ~ c2_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( c0_1(X20)
          | ~ c1_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | ~ c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( c0_1(X22)
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( c1_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X24] :
          ( c0_1(X24)
          | c1_1(X24)
          | ~ c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | c3_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( c2_1(X26)
          | ~ c0_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( c0_1(X27)
          | c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp6
      | hskp7 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X29] :
          ( c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | ~ c1_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X31] :
          ( c0_1(X31)
          | c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X33] :
          ( c0_1(X33)
          | c1_1(X33)
          | ~ c3_1(X33)
          | ~ ndr1_0 )
      | hskp28
      | hskp1 )
    & ( ! [X34] :
          ( c0_1(X34)
          | c2_1(X34)
          | c3_1(X34)
          | ~ ndr1_0 )
      | hskp12
      | hskp13 )
    & ( ! [X35] :
          ( c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( c1_1(X36)
          | ~ c0_1(X36)
          | ~ c3_1(X36)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37)
          | ~ ndr1_0 )
      | hskp14
      | hskp15 )
    & ( ! [X38] :
          ( c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38)
          | ~ ndr1_0 )
      | hskp0
      | hskp16 )
    & ( ! [X39] :
          ( c0_1(X39)
          | c3_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp29 )
    & ( ! [X41] :
          ( c0_1(X41)
          | c3_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c0_1(X42)
          | ~ c1_1(X42)
          | ~ c3_1(X42)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X43] :
          ( c0_1(X43)
          | c3_1(X43)
          | ~ c2_1(X43)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X44] :
          ( c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44)
          | ~ ndr1_0 )
      | hskp4
      | hskp16 )
    & ( ! [X45] :
          ( c0_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X47] :
          ( c0_1(X47)
          | ~ c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 )
      | hskp15
      | hskp17 )
    & ( ! [X48] :
          ( c0_1(X48)
          | ~ c1_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp30
      | hskp18 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c1_1(X49)
          | ~ c3_1(X49)
          | ~ ndr1_0 )
      | hskp9
      | hskp2 )
    & ( ! [X50] :
          ( c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X51] :
          ( c0_1(X51)
          | ~ c2_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 )
      | hskp20
      | hskp3 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c2_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | ~ c0_1(X53)
          | ~ c1_1(X53)
          | ~ ndr1_0 )
      | hskp9 )
    & ( ! [X54] :
          ( c1_1(X54)
          | c2_1(X54)
          | c3_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 )
      | hskp20 )
    & ( ! [X56] :
          ( c1_1(X56)
          | c2_1(X56)
          | c3_1(X56)
          | ~ ndr1_0 )
      | hskp6
      | hskp8 )
    & ( ! [X57] :
          ( c1_1(X57)
          | c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | hskp21
      | hskp22 )
    & ( ! [X58] :
          ( c1_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | c3_1(X59)
          | ~ c1_1(X59)
          | ~ ndr1_0 )
      | hskp23 )
    & ( ! [X60] :
          ( c1_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c2_1(X61)
          | ~ c0_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp24
      | hskp25 )
    & ( ! [X63] :
          ( c1_1(X63)
          | c3_1(X63)
          | ~ c0_1(X63)
          | ~ ndr1_0 )
      | hskp14
      | hskp13 )
    & ( ! [X64] :
          ( c1_1(X64)
          | c3_1(X64)
          | ~ c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c1_1(X65)
          | ~ c0_1(X65)
          | ~ c2_1(X65)
          | ~ ndr1_0 )
      | hskp17 )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | ~ c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ c2_1(X67)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X68] :
          ( c1_1(X68)
          | ~ c0_1(X68)
          | ~ c2_1(X68)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X69] :
          ( c1_1(X69)
          | ~ c0_1(X69)
          | ~ c2_1(X69)
          | ~ ndr1_0 )
      | hskp0
      | hskp2 )
    & ( ! [X70] :
          ( c1_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 )
      | hskp21 )
    & ( ! [X71] :
          ( c1_1(X71)
          | ~ c2_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | hskp14
      | hskp11 )
    & ( ! [X72] :
          ( c1_1(X72)
          | ~ c2_1(X72)
          | ~ c3_1(X72)
          | ~ ndr1_0 )
      | hskp9
      | hskp11 )
    & ( ! [X73] :
          ( c2_1(X73)
          | c3_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | hskp22
      | hskp5 )
    & ( ! [X74] :
          ( c2_1(X74)
          | ~ c0_1(X74)
          | ~ c1_1(X74)
          | ~ ndr1_0 )
      | hskp30
      | hskp9 )
    & ( ! [X75] :
          ( c2_1(X75)
          | ~ c0_1(X75)
          | ~ c1_1(X75)
          | ~ ndr1_0 )
      | hskp4
      | hskp1 )
    & ( ! [X76] :
          ( c2_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 )
      | hskp28
      | hskp9 )
    & ( ! [X77] :
          ( c2_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78)
          | ~ ndr1_0 )
      | hskp26 )
    & ( ! [X79] :
          ( c3_1(X79)
          | ~ c0_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c3_1(X80)
          | ~ c0_1(X80)
          | ~ c2_1(X80)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X81] :
          ( c3_1(X81)
          | ~ c0_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | hskp31 )
    & ( ! [X83] :
          ( ~ c0_1(X83)
          | ~ c1_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | hskp5
      | hskp13 )
    & ( ! [X84] :
          ( ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | hskp19
      | hskp2 )
    & ( ! [X85] :
          ( ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ c3_1(X85)
          | ~ ndr1_0 )
      | hskp31
      | hskp3 )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86)
          | ~ ndr1_0 )
      | hskp20
      | hskp24 )
    & ( hskp31
      | hskp12
      | hskp13 )
    & ( hskp28
      | hskp6
      | hskp18 )
    & ( hskp20
      | hskp27
      | hskp13 )
    & ( hskp0
      | hskp5 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp0
    | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp28
    | hskp6
    | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp31
    | hskp12
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X83] :
      ( ~ c0_1(X83)
      | ~ c1_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | hskp5
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X82,X81] :
      ( c3_1(X81)
      | ~ c0_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | ~ c1_1(X82)
      | ~ c2_1(X82)
      | ~ ndr1_0
      | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X80,X79] :
      ( c3_1(X79)
      | ~ c0_1(X79)
      | ~ c1_1(X79)
      | ~ ndr1_0
      | c3_1(X80)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X78,X77] :
      ( c2_1(X77)
      | ~ c1_1(X77)
      | ~ c3_1(X77)
      | ~ ndr1_0
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X76] :
      ( c2_1(X76)
      | ~ c0_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0
      | hskp28
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X70] :
      ( c1_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X68] :
      ( c1_1(X68)
      | ~ c0_1(X68)
      | ~ c2_1(X68)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X66,X67] :
      ( c1_1(X66)
      | ~ c0_1(X66)
      | ~ c2_1(X66)
      | ~ ndr1_0
      | ~ c0_1(X67)
      | ~ c1_1(X67)
      | ~ c2_1(X67)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X62] :
      ( c1_1(X62)
      | c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp24
      | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X58,X59] :
      ( c1_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | c2_1(X59)
      | c3_1(X59)
      | ~ c1_1(X59)
      | ~ ndr1_0
      | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X57] :
      ( c1_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57)
      | ~ ndr1_0
      | hskp21
      | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X52,X53] :
      ( c1_1(X52)
      | c2_1(X52)
      | c3_1(X52)
      | ~ ndr1_0
      | c3_1(X53)
      | ~ c0_1(X53)
      | ~ c1_1(X53)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X50] :
      ( c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X49] :
      ( c0_1(X49)
      | ~ c1_1(X49)
      | ~ c3_1(X49)
      | ~ ndr1_0
      | hskp9
      | hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X48] :
      ( c0_1(X48)
      | ~ c1_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp30
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | ~ c1_1(X45)
      | ~ c2_1(X45)
      | ~ ndr1_0
      | c1_1(X46)
      | c3_1(X46)
      | ~ c2_1(X46)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X43] :
      ( c0_1(X43)
      | c3_1(X43)
      | ~ c2_1(X43)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c3_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0
      | ~ c0_1(X42)
      | ~ c1_1(X42)
      | ~ c3_1(X42)
      | ~ ndr1_0
      | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0
      | c1_1(X36)
      | ~ c0_1(X36)
      | ~ c3_1(X36)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | c1_1(X31)
      | ~ c3_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | c1_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | ~ c0_1(X30)
      | ~ c1_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X28] :
      ( c0_1(X28)
      | c1_1(X28)
      | ~ c2_1(X28)
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | c1_1(X24)
      | ~ c2_1(X24)
      | ~ ndr1_0
      | c2_1(X25)
      | c3_1(X25)
      | ~ c0_1(X25)
      | ~ ndr1_0
      | c2_1(X26)
      | ~ c0_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | c1_1(X22)
      | ~ c2_1(X22)
      | ~ ndr1_0
      | c1_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X21,X19,X20] :
      ( c0_1(X19)
      | c1_1(X19)
      | ~ c2_1(X19)
      | ~ ndr1_0
      | c0_1(X20)
      | ~ c1_1(X20)
      | ~ c2_1(X20)
      | ~ ndr1_0
      | ~ c0_1(X21)
      | ~ c1_1(X21)
      | ~ c2_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | c0_1(X18)
      | c3_1(X18)
      | ~ c1_1(X18)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | c1_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | c0_1(X16)
      | c2_1(X16)
      | ~ c1_1(X16)
      | ~ ndr1_0
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | c1_1(X8)
      | c2_1(X8)
      | ~ ndr1_0
      | ~ c0_1(X9)
      | ~ c1_1(X9)
      | ~ c3_1(X9)
      | ~ ndr1_0
      | ~ c0_1(X10)
      | ~ c2_1(X10)
      | ~ c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c1_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ hskp31
    | c2_1(a1148) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp31
    | c1_1(a1148) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp31
    | c0_1(a1148) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp30
    | c1_1(a1109) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp30
    | c0_1(a1109) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp28
    | c3_1(a1092) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp28
    | c2_1(a1092) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp28
    | c0_1(a1092) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp26
    | ~ c0_1(a1146) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp26
    | c3_1(a1146) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp26
    | c2_1(a1146) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp25
    | ~ c3_1(a1125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp25
    | ~ c2_1(a1125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp25
    | ~ c1_1(a1125) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp24
    | ~ c0_1(a1124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp24
    | c2_1(a1124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp24
    | c1_1(a1124) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp23
    | ~ c3_1(a1122) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp23
    | c2_1(a1122) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp23
    | c0_1(a1122) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp22
    | ~ c0_1(a1121) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp22
    | c3_1(a1121) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp22
    | c1_1(a1121) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp21
    | ~ c3_1(a1120) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp21
    | c2_1(a1120) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp21
    | c1_1(a1120) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp19
    | ~ c2_1(a1113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp19
    | c1_1(a1113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp19
    | c0_1(a1113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp18
    | ~ c1_1(a1103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp18
    | c3_1(a1103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp18
    | c0_1(a1103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp17
    | ~ c2_1(a1102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp17
    | ~ c0_1(a1102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp14
    | ~ c2_1(a1097) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp14
    | c3_1(a1097) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp14
    | c1_1(a1097) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp13
    | ~ c2_1(a1095) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp13
    | ~ c1_1(a1095) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp13
    | c3_1(a1095) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp12
    | ~ c3_1(a1094) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp12
    | c1_1(a1094) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp12
    | c0_1(a1094) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp11
    | ~ c3_1(a1091) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp11
    | ~ c0_1(a1091) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp11
    | c2_1(a1091) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp10
    | ~ c3_1(a1090) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp10
    | ~ c1_1(a1090) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp10
    | ~ c0_1(a1090) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp9
    | ~ c1_1(a1089) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp9
    | c3_1(a1089) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp9
    | c2_1(a1089) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp8
    | ~ c2_1(a1088) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ hskp8
    | c0_1(a1088) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp6
    | ~ c1_1(a1086) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp6
    | c2_1(a1086) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp6
    | c0_1(a1086) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp5
    | ~ c1_1(a1085) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp5
    | ~ c0_1(a1085) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp5
    | c2_1(a1085) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ~ hskp5
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp4
    | ~ c3_1(a1084) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp4
    | c0_1(a1084) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ hskp3
    | ~ c3_1(a1083) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp3
    | ~ c2_1(a1083) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp3
    | c1_1(a1083) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp2
    | ~ c3_1(a1082) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp2
    | ~ c2_1(a1082) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp2
    | ~ c0_1(a1082) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp0
    | ~ c2_1(a1080) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp0
    | ~ c0_1(a1080) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp0
    | c1_1(a1080) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ hskp0
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f193]) ).

fof(f195,plain,
    ( ~ hskp0
    | ~ c1_1(a1080) ),
    inference(consistent_polarity_flipping,[],[f192]) ).

fof(f201,plain,
    ( hskp2
    | ~ c0_1(a1082) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f202,plain,
    ( hskp2
    | ~ c2_1(a1082) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f203,plain,
    ( hskp2
    | ~ c3_1(a1082) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f205,plain,
    ( ~ hskp3
    | ~ c1_1(a1083) ),
    inference(consistent_polarity_flipping,[],[f180]) ).

fof(f208,plain,
    ( ~ hskp5
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f173]) ).

fof(f209,plain,
    ( ~ hskp5
    | c1_1(a1085) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f211,plain,
    ( ~ hskp6
    | c1_1(a1086) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f217,plain,
    ( hskp8
    | c0_1(a1088) ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f219,plain,
    ( hskp8
    | ~ c2_1(a1088) ),
    inference(consistent_polarity_flipping,[],[f158]) ).

fof(f221,plain,
    ( ~ hskp9
    | c1_1(a1089) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f223,plain,
    ( hskp10
    | ~ c0_1(a1090) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f224,plain,
    ( hskp10
    | c1_1(a1090) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f225,plain,
    ( hskp10
    | ~ c3_1(a1090) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f227,plain,
    ( hskp11
    | c2_1(a1091) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f228,plain,
    ( hskp11
    | ~ c0_1(a1091) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f229,plain,
    ( hskp11
    | ~ c3_1(a1091) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f231,plain,
    ( ~ hskp12
    | ~ c1_1(a1094) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f233,plain,
    ( ~ hskp13
    | c1_1(a1095) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f235,plain,
    ( ~ hskp14
    | ~ c1_1(a1097) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f246,plain,
    ( hskp17
    | ~ c0_1(a1102) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f247,plain,
    ( hskp17
    | ~ c2_1(a1102) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f249,plain,
    ( ~ hskp18
    | c1_1(a1103) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f251,plain,
    ( ~ hskp19
    | ~ c1_1(a1113) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f255,plain,
    ( ~ hskp21
    | ~ c1_1(a1120) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f257,plain,
    ( hskp22
    | ~ c1_1(a1121) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f258,plain,
    ( hskp22
    | c3_1(a1121) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f259,plain,
    ( hskp22
    | ~ c0_1(a1121) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f262,plain,
    ( hskp24
    | ~ c1_1(a1124) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f263,plain,
    ( hskp24
    | c2_1(a1124) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f264,plain,
    ( hskp24
    | ~ c0_1(a1124) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f266,plain,
    ( hskp25
    | c1_1(a1125) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f267,plain,
    ( hskp25
    | ~ c2_1(a1125) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f268,plain,
    ( hskp25
    | ~ c3_1(a1125) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f275,plain,
    ( hskp30
    | c0_1(a1109) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f276,plain,
    ( hskp30
    | ~ c1_1(a1109) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f279,plain,
    ( hskp31
    | c0_1(a1148) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f280,plain,
    ( hskp31
    | ~ c1_1(a1148) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f281,plain,
    ( hskp31
    | c2_1(a1148) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f282,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ndr1_0
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f285,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | ~ c1_1(X8)
      | c2_1(X8)
      | ndr1_0
      | ~ c0_1(X9)
      | c1_1(X9)
      | ~ c3_1(X9)
      | ndr1_0
      | ~ c0_1(X10)
      | ~ c2_1(X10)
      | ~ c3_1(X10)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f288,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | ~ c1_1(X15)
      | ~ c2_1(X15)
      | ndr1_0
      | c0_1(X16)
      | c2_1(X16)
      | c1_1(X16)
      | ndr1_0
      | hskp3 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f289,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | ~ c1_1(X17)
      | ~ c2_1(X17)
      | ndr1_0
      | c0_1(X18)
      | c3_1(X18)
      | c1_1(X18)
      | ndr1_0
      | hskp4 ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f290,plain,
    ! [X21,X19,X20] :
      ( c0_1(X19)
      | ~ c1_1(X19)
      | ~ c2_1(X19)
      | ndr1_0
      | c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ndr1_0
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ c2_1(X21)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f291,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | ~ c1_1(X22)
      | ~ c2_1(X22)
      | ndr1_0
      | ~ c1_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23)
      | ndr1_0
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f292,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | ~ c1_1(X24)
      | ~ c2_1(X24)
      | ndr1_0
      | c2_1(X25)
      | c3_1(X25)
      | ~ c0_1(X25)
      | ndr1_0
      | c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f294,plain,
    ! [X28] :
      ( c0_1(X28)
      | ~ c1_1(X28)
      | ~ c2_1(X28)
      | ndr1_0
      | ~ hskp8
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f295,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | ~ c1_1(X29)
      | ~ c3_1(X29)
      | ndr1_0
      | ~ c0_1(X30)
      | c1_1(X30)
      | ~ c2_1(X30)
      | ndr1_0
      | ~ hskp10 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f296,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | ~ c1_1(X31)
      | ~ c3_1(X31)
      | ndr1_0
      | ~ c0_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ndr1_0
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f299,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | c1_1(X35)
      | ndr1_0
      | ~ c1_1(X36)
      | ~ c0_1(X36)
      | ~ c3_1(X36)
      | ndr1_0
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f303,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c3_1(X41)
      | ~ c2_1(X41)
      | ndr1_0
      | ~ c0_1(X42)
      | c1_1(X42)
      | ~ c3_1(X42)
      | ndr1_0
      | ~ hskp17 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f304,plain,
    ! [X43] :
      ( c0_1(X43)
      | c3_1(X43)
      | ~ c2_1(X43)
      | ndr1_0
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f306,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c1_1(X45)
      | ~ c2_1(X45)
      | ndr1_0
      | ~ c1_1(X46)
      | c3_1(X46)
      | ~ c2_1(X46)
      | ndr1_0
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f308,plain,
    ! [X48] :
      ( c0_1(X48)
      | c1_1(X48)
      | ~ c3_1(X48)
      | ndr1_0
      | ~ hskp30
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f309,plain,
    ! [X49] :
      ( c0_1(X49)
      | c1_1(X49)
      | ~ c3_1(X49)
      | ndr1_0
      | hskp9
      | ~ hskp2 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f310,plain,
    ! [X50] :
      ( c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ndr1_0
      | hskp19 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f312,plain,
    ! [X52,X53] :
      ( ~ c1_1(X52)
      | c2_1(X52)
      | c3_1(X52)
      | ndr1_0
      | c3_1(X53)
      | ~ c0_1(X53)
      | c1_1(X53)
      | ndr1_0
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f315,plain,
    ! [X57] :
      ( ~ c1_1(X57)
      | c2_1(X57)
      | ~ c0_1(X57)
      | ndr1_0
      | hskp21
      | ~ hskp22 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f316,plain,
    ! [X58,X59] :
      ( ~ c1_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | ndr1_0
      | c2_1(X59)
      | c3_1(X59)
      | c1_1(X59)
      | ndr1_0
      | hskp23 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f318,plain,
    ! [X62] :
      ( ~ c1_1(X62)
      | c2_1(X62)
      | ~ c3_1(X62)
      | ndr1_0
      | ~ hskp24
      | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f321,plain,
    ! [X66,X67] :
      ( ~ c1_1(X66)
      | ~ c0_1(X66)
      | ~ c2_1(X66)
      | ndr1_0
      | ~ c0_1(X67)
      | c1_1(X67)
      | ~ c2_1(X67)
      | ndr1_0
      | ~ hskp25 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f322,plain,
    ! [X68] :
      ( ~ c1_1(X68)
      | ~ c0_1(X68)
      | ~ c2_1(X68)
      | ndr1_0
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f324,plain,
    ! [X70] :
      ( ~ c1_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | ndr1_0
      | hskp21 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f330,plain,
    ! [X76] :
      ( c2_1(X76)
      | ~ c0_1(X76)
      | ~ c3_1(X76)
      | ndr1_0
      | hskp28
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f331,plain,
    ! [X78,X77] :
      ( c2_1(X77)
      | c1_1(X77)
      | ~ c3_1(X77)
      | ndr1_0
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | ndr1_0
      | hskp26 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f332,plain,
    ! [X80,X79] :
      ( c3_1(X79)
      | ~ c0_1(X79)
      | c1_1(X79)
      | ndr1_0
      | c3_1(X80)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | ndr1_0
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f333,plain,
    ! [X82,X81] :
      ( c3_1(X81)
      | ~ c0_1(X81)
      | ~ c2_1(X81)
      | ndr1_0
      | c3_1(X82)
      | c1_1(X82)
      | ~ c2_1(X82)
      | ndr1_0
      | ~ hskp31 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f334,plain,
    ! [X83] :
      ( ~ c0_1(X83)
      | c1_1(X83)
      | ~ c2_1(X83)
      | ndr1_0
      | hskp5
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f338,plain,
    ( ~ hskp31
    | hskp12
    | hskp13 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f339,plain,
    ! [X82,X81] :
      ( c3_1(X81)
      | ~ c0_1(X81)
      | ~ c2_1(X81)
      | ndr1_0
      | c3_1(X82)
      | c1_1(X82)
      | ~ c2_1(X82)
      | ~ hskp31 ),
    inference(duplicate_literal_removal,[],[f333]) ).

fof(f340,plain,
    ! [X80,X79] :
      ( c3_1(X79)
      | ~ c0_1(X79)
      | c1_1(X79)
      | ndr1_0
      | c3_1(X80)
      | ~ c0_1(X80)
      | ~ c2_1(X80)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f332]) ).

fof(f341,plain,
    ! [X78,X77] :
      ( c2_1(X77)
      | c1_1(X77)
      | ~ c3_1(X77)
      | ndr1_0
      | ~ c0_1(X78)
      | ~ c2_1(X78)
      | ~ c3_1(X78)
      | hskp26 ),
    inference(duplicate_literal_removal,[],[f331]) ).

fof(f342,plain,
    ! [X66,X67] :
      ( ~ c1_1(X66)
      | ~ c0_1(X66)
      | ~ c2_1(X66)
      | ndr1_0
      | ~ c0_1(X67)
      | c1_1(X67)
      | ~ c2_1(X67)
      | ~ hskp25 ),
    inference(duplicate_literal_removal,[],[f321]) ).

fof(f345,plain,
    ! [X58,X59] :
      ( ~ c1_1(X58)
      | c2_1(X58)
      | ~ c3_1(X58)
      | ndr1_0
      | c2_1(X59)
      | c3_1(X59)
      | c1_1(X59)
      | hskp23 ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f347,plain,
    ! [X52,X53] :
      ( ~ c1_1(X52)
      | c2_1(X52)
      | c3_1(X52)
      | ndr1_0
      | c3_1(X53)
      | ~ c0_1(X53)
      | c1_1(X53)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f312]) ).

fof(f348,plain,
    ! [X46,X45] :
      ( c0_1(X45)
      | c1_1(X45)
      | ~ c2_1(X45)
      | ndr1_0
      | ~ c1_1(X46)
      | c3_1(X46)
      | ~ c2_1(X46)
      | hskp9 ),
    inference(duplicate_literal_removal,[],[f306]) ).

fof(f349,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | c3_1(X41)
      | ~ c2_1(X41)
      | ndr1_0
      | ~ c0_1(X42)
      | c1_1(X42)
      | ~ c3_1(X42)
      | ~ hskp17 ),
    inference(duplicate_literal_removal,[],[f303]) ).

fof(f351,plain,
    ! [X36,X35] :
      ( c0_1(X35)
      | c2_1(X35)
      | c1_1(X35)
      | ndr1_0
      | ~ c1_1(X36)
      | ~ c0_1(X36)
      | ~ c3_1(X36)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f352,plain,
    ! [X31,X32] :
      ( c0_1(X31)
      | ~ c1_1(X31)
      | ~ c3_1(X31)
      | ndr1_0
      | ~ c0_1(X32)
      | ~ c2_1(X32)
      | ~ c3_1(X32)
      | ~ hskp11 ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f353,plain,
    ! [X29,X30] :
      ( c0_1(X29)
      | ~ c1_1(X29)
      | ~ c3_1(X29)
      | ndr1_0
      | ~ c0_1(X30)
      | c1_1(X30)
      | ~ c2_1(X30)
      | ~ hskp10 ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f354,plain,
    ! [X26,X24,X25] :
      ( c0_1(X24)
      | ~ c1_1(X24)
      | ~ c2_1(X24)
      | ndr1_0
      | c2_1(X25)
      | c3_1(X25)
      | ~ c0_1(X25)
      | c2_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f292]) ).

fof(f355,plain,
    ! [X22,X23] :
      ( c0_1(X22)
      | ~ c1_1(X22)
      | ~ c2_1(X22)
      | ndr1_0
      | ~ c1_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f356,plain,
    ! [X21,X19,X20] :
      ( c0_1(X19)
      | ~ c1_1(X19)
      | ~ c2_1(X19)
      | ndr1_0
      | c0_1(X20)
      | c1_1(X20)
      | ~ c2_1(X20)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ c2_1(X21) ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f357,plain,
    ! [X18,X17] :
      ( c0_1(X17)
      | ~ c1_1(X17)
      | ~ c2_1(X17)
      | ndr1_0
      | c0_1(X18)
      | c3_1(X18)
      | c1_1(X18)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f289]) ).

fof(f358,plain,
    ! [X16,X15] :
      ( c0_1(X15)
      | ~ c1_1(X15)
      | ~ c2_1(X15)
      | ndr1_0
      | c0_1(X16)
      | c2_1(X16)
      | c1_1(X16)
      | hskp3 ),
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f360,plain,
    ! [X10,X8,X9] :
      ( c0_1(X8)
      | ~ c1_1(X8)
      | c2_1(X8)
      | ndr1_0
      | ~ c0_1(X9)
      | c1_1(X9)
      | ~ c3_1(X9)
      | ~ c0_1(X10)
      | ~ c2_1(X10)
      | ~ c3_1(X10) ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f363,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0)
      | ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f365,definition,
    ( spl0_1
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f369,definition,
    ( spl0_2
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f372,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f369,f365]) ).

fof(f374,definition,
    ( spl0_3
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f387,definition,
    ( spl0_6
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f391,definition,
    ( spl0_7
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f395,definition,
    ( spl0_8
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f398,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f395,f391,f387]) ).

fof(f400,definition,
    ( spl0_9
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f404,definition,
    ( spl0_10
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f407,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f338,f404,f400,f374]) ).

fof(f409,definition,
    ( spl0_11
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f413,definition,
    ( spl0_12
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f421,definition,
    ( spl0_14
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f426,definition,
    ( spl0_15
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f430,definition,
    ( spl0_16
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f434,definition,
    ( spl0_17
  <=> ! [X84] :
        ( ~ c0_1(X84)
        | ~ c3_1(X84)
        | c1_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f435,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | ~ c0_1(X84)
        | c1_1(X84) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f438,definition,
    ( spl0_18
  <=> ! [X83] :
        ( ~ c0_1(X83)
        | ~ c2_1(X83)
        | c1_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f439,plain,
    ( ! [X83] :
        ( ~ c2_1(X83)
        | ~ c0_1(X83)
        | c1_1(X83) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f440,plain,
    ( spl0_3
    | spl0_1
    | spl0_12
    | spl0_18 ),
    inference(avatar_split_clause,[],[f334,f438,f413,f365,f374]) ).

fof(f442,definition,
    ( spl0_19
  <=> ! [X82] :
        ( c3_1(X82)
        | ~ c2_1(X82)
        | c1_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f443,plain,
    ( ! [X82] :
        ( c3_1(X82)
        | ~ c2_1(X82)
        | c1_1(X82) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f445,definition,
    ( spl0_20
  <=> ! [X81] :
        ( c3_1(X81)
        | ~ c2_1(X81)
        | ~ c0_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f446,plain,
    ( ! [X81] :
        ( c3_1(X81)
        | ~ c2_1(X81)
        | ~ c0_1(X81) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f447,plain,
    ( ~ spl0_10
    | spl0_19
    | spl0_12
    | spl0_20 ),
    inference(avatar_split_clause,[],[f339,f445,f413,f442,f404]) ).

fof(f449,definition,
    ( spl0_21
  <=> ! [X79] :
        ( c3_1(X79)
        | c1_1(X79)
        | ~ c0_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f450,plain,
    ( ! [X79] :
        ( c3_1(X79)
        | c1_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f451,plain,
    ( spl0_1
    | spl0_20
    | spl0_12
    | spl0_21 ),
    inference(avatar_split_clause,[],[f340,f449,f413,f445,f365]) ).

fof(f453,definition,
    ( spl0_22
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f457,definition,
    ( spl0_23
  <=> ! [X78] :
        ( ~ c0_1(X78)
        | ~ c3_1(X78)
        | ~ c2_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f458,plain,
    ( ! [X78] :
        ( ~ c3_1(X78)
        | ~ c0_1(X78)
        | ~ c2_1(X78) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f460,definition,
    ( spl0_24
  <=> ! [X77] :
        ( c2_1(X77)
        | ~ c3_1(X77)
        | c1_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f461,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c2_1(X77)
        | c1_1(X77) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f462,plain,
    ( spl0_22
    | spl0_23
    | spl0_12
    | spl0_24 ),
    inference(avatar_split_clause,[],[f341,f460,f413,f457,f453]) ).

fof(f464,definition,
    ( spl0_25
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f468,definition,
    ( spl0_26
  <=> ! [X76] :
        ( c2_1(X76)
        | ~ c3_1(X76)
        | ~ c0_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f469,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | c2_1(X76)
        | ~ c0_1(X76) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f470,plain,
    ( spl0_25
    | spl0_8
    | spl0_12
    | spl0_26 ),
    inference(avatar_split_clause,[],[f330,f468,f413,f395,f464]) ).

fof(f476,definition,
    ( spl0_28
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f480,definition,
    ( spl0_29
  <=> ! [X75] :
        ( c2_1(X75)
        | c1_1(X75)
        | ~ c0_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f481,plain,
    ( ! [X75] :
        ( c2_1(X75)
        | c1_1(X75)
        | ~ c0_1(X75) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f484,definition,
    ( spl0_30
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f489,definition,
    ( spl0_31
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f493,definition,
    ( spl0_32
  <=> ! [X73] :
        ( c2_1(X73)
        | ~ c0_1(X73)
        | c3_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f494,plain,
    ( ! [X73] :
        ( c3_1(X73)
        | ~ c0_1(X73)
        | c2_1(X73) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f497,definition,
    ( spl0_33
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f501,definition,
    ( spl0_34
  <=> ! [X72] :
        ( ~ c1_1(X72)
        | ~ c3_1(X72)
        | ~ c2_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f502,plain,
    ( ! [X72] :
        ( ~ c3_1(X72)
        | ~ c1_1(X72)
        | ~ c2_1(X72) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f505,definition,
    ( spl0_35
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f510,definition,
    ( spl0_36
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f513,plain,
    ( spl0_36
    | spl0_12
    | spl0_34 ),
    inference(avatar_split_clause,[],[f324,f501,f413,f510]) ).

fof(f515,definition,
    ( spl0_37
  <=> ! [X69] :
        ( ~ c1_1(X69)
        | ~ c2_1(X69)
        | ~ c0_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f516,plain,
    ( ! [X69] :
        ( ~ c2_1(X69)
        | ~ c1_1(X69)
        | ~ c0_1(X69) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f518,plain,
    ( spl0_35
    | spl0_12
    | spl0_37 ),
    inference(avatar_split_clause,[],[f322,f515,f413,f505]) ).

fof(f520,definition,
    ( spl0_38
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f523,plain,
    ( ~ spl0_38
    | spl0_18
    | spl0_12
    | spl0_37 ),
    inference(avatar_split_clause,[],[f342,f515,f413,f438,f520]) ).

fof(f525,definition,
    ( spl0_39
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f529,definition,
    ( spl0_40
  <=> ! [X64] :
        ( ~ c1_1(X64)
        | ~ c2_1(X64)
        | c3_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f530,plain,
    ( ! [X64] :
        ( c3_1(X64)
        | ~ c2_1(X64)
        | ~ c1_1(X64) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f537,definition,
    ( spl0_42
  <=> ! [X62] :
        ( ~ c1_1(X62)
        | ~ c3_1(X62)
        | c2_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f538,plain,
    ( ! [X62] :
        ( ~ c3_1(X62)
        | ~ c1_1(X62)
        | c2_1(X62) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f539,plain,
    ( ~ spl0_38
    | ~ spl0_11
    | spl0_12
    | spl0_42 ),
    inference(avatar_split_clause,[],[f318,f537,f413,f409,f520]) ).

fof(f542,definition,
    ( spl0_43
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f546,definition,
    ( spl0_44
  <=> ! [X59] :
        ( c2_1(X59)
        | c1_1(X59)
        | c3_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f547,plain,
    ( ! [X59] :
        ( c3_1(X59)
        | c1_1(X59)
        | c2_1(X59) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f548,plain,
    ( spl0_43
    | spl0_44
    | spl0_12
    | spl0_42 ),
    inference(avatar_split_clause,[],[f345,f537,f413,f546,f542]) ).

fof(f550,definition,
    ( spl0_45
  <=> ! [X57] :
        ( ~ c1_1(X57)
        | ~ c0_1(X57)
        | c2_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f551,plain,
    ( ! [X57] :
        ( c2_1(X57)
        | ~ c0_1(X57)
        | ~ c1_1(X57) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f552,plain,
    ( ~ spl0_31
    | spl0_36
    | spl0_12
    | spl0_45 ),
    inference(avatar_split_clause,[],[f315,f550,f413,f510,f489]) ).

fof(f554,definition,
    ( spl0_46
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f558,definition,
    ( spl0_47
  <=> ! [X56] :
        ( ~ c1_1(X56)
        | c3_1(X56)
        | c2_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f559,plain,
    ( ! [X56] :
        ( c3_1(X56)
        | ~ c1_1(X56)
        | c2_1(X56) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f562,plain,
    ( spl0_25
    | spl0_21
    | spl0_12
    | spl0_47 ),
    inference(avatar_split_clause,[],[f347,f558,f413,f449,f464]) ).

fof(f564,definition,
    ( spl0_48
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | ~ c2_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f565,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | c0_1(X51)
        | ~ c2_1(X51) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f567,plain,
    ( spl0_16
    | spl0_12
    | spl0_48 ),
    inference(avatar_split_clause,[],[f310,f564,f413,f430]) ).

fof(f569,definition,
    ( spl0_49
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c3_1(X49)
        | c1_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f570,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | c0_1(X49)
        | c1_1(X49) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f571,plain,
    ( ~ spl0_15
    | spl0_25
    | spl0_12
    | spl0_49 ),
    inference(avatar_split_clause,[],[f309,f569,f413,f464,f426]) ).

fof(f572,plain,
    ( spl0_6
    | ~ spl0_30
    | spl0_12
    | spl0_49 ),
    inference(avatar_split_clause,[],[f308,f569,f413,f484,f387]) ).

fof(f578,definition,
    ( spl0_51
  <=> ! [X47] :
        ( c0_1(X47)
        | ~ c2_1(X47)
        | c1_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f579,plain,
    ( ! [X47] :
        ( ~ c2_1(X47)
        | c0_1(X47)
        | c1_1(X47) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f581,plain,
    ( spl0_25
    | spl0_40
    | spl0_12
    | spl0_51 ),
    inference(avatar_split_clause,[],[f348,f578,f413,f529,f464]) ).

fof(f587,definition,
    ( spl0_53
  <=> ! [X44] :
        ( c0_1(X44)
        | ~ c2_1(X44)
        | c3_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f588,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | ~ c2_1(X44)
        | c0_1(X44) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f590,plain,
    ( spl0_6
    | spl0_12
    | spl0_53 ),
    inference(avatar_split_clause,[],[f304,f587,f413,f387]) ).

fof(f591,plain,
    ( ~ spl0_39
    | spl0_17
    | spl0_12
    | spl0_53 ),
    inference(avatar_split_clause,[],[f349,f587,f413,f434,f525]) ).

fof(f597,definition,
    ( spl0_55
  <=> ! [X39] :
        ( c0_1(X39)
        | c1_1(X39)
        | c3_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f598,plain,
    ( ! [X39] :
        ( c3_1(X39)
        | c1_1(X39)
        | c0_1(X39) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f601,definition,
    ( spl0_56
  <=> ! [X38] :
        ( c0_1(X38)
        | c1_1(X38)
        | c2_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f602,plain,
    ( ! [X38] :
        ( c2_1(X38)
        | c1_1(X38)
        | c0_1(X38) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f606,definition,
    ( spl0_57
  <=> ! [X36] :
        ( ~ c1_1(X36)
        | ~ c3_1(X36)
        | ~ c0_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f607,plain,
    ( ! [X36] :
        ( ~ c3_1(X36)
        | ~ c1_1(X36)
        | ~ c0_1(X36) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f606]) ).

fof(f608,plain,
    ( spl0_1
    | spl0_57
    | spl0_12
    | spl0_56 ),
    inference(avatar_split_clause,[],[f351,f601,f413,f606,f365]) ).

fof(f610,definition,
    ( spl0_58
  <=> ! [X34] :
        ( c0_1(X34)
        | c3_1(X34)
        | c2_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f611,plain,
    ( ! [X34] :
        ( c3_1(X34)
        | c0_1(X34)
        | c2_1(X34) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f614,definition,
    ( spl0_59
  <=> ! [X33] :
        ( c0_1(X33)
        | ~ c3_1(X33)
        | ~ c1_1(X33) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f615,plain,
    ( ! [X33] :
        ( ~ c3_1(X33)
        | c0_1(X33)
        | ~ c1_1(X33) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f614]) ).

fof(f617,plain,
    ( ~ spl0_33
    | spl0_23
    | spl0_12
    | spl0_59 ),
    inference(avatar_split_clause,[],[f352,f614,f413,f457,f497]) ).

fof(f619,definition,
    ( spl0_60
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f622,plain,
    ( ~ spl0_60
    | spl0_18
    | spl0_12
    | spl0_59 ),
    inference(avatar_split_clause,[],[f353,f614,f413,f438,f619]) ).

fof(f624,definition,
    ( spl0_61
  <=> ! [X28] :
        ( c0_1(X28)
        | ~ c2_1(X28)
        | ~ c1_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f625,plain,
    ( ! [X28] :
        ( ~ c2_1(X28)
        | c0_1(X28)
        | ~ c1_1(X28) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f626,plain,
    ( spl0_25
    | ~ spl0_46
    | spl0_12
    | spl0_61 ),
    inference(avatar_split_clause,[],[f294,f624,f413,f554,f464]) ).

fof(f632,plain,
    ( spl0_29
    | spl0_32
    | spl0_12
    | spl0_61 ),
    inference(avatar_split_clause,[],[f354,f624,f413,f493,f480]) ).

fof(f633,plain,
    ( spl0_1
    | spl0_34
    | spl0_12
    | spl0_61 ),
    inference(avatar_split_clause,[],[f355,f624,f413,f501,f365]) ).

fof(f634,plain,
    ( spl0_18
    | spl0_51
    | spl0_12
    | spl0_61 ),
    inference(avatar_split_clause,[],[f356,f624,f413,f578,f438]) ).

fof(f635,plain,
    ( spl0_28
    | spl0_55
    | spl0_12
    | spl0_61 ),
    inference(avatar_split_clause,[],[f357,f624,f413,f597,f476]) ).

fof(f636,plain,
    ( spl0_14
    | spl0_56
    | spl0_12
    | spl0_61 ),
    inference(avatar_split_clause,[],[f358,f624,f413,f601,f421]) ).

fof(f642,definition,
    ( spl0_64
  <=> ! [X11] :
        ( c0_1(X11)
        | c2_1(X11)
        | ~ c1_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f643,plain,
    ( ! [X11] :
        ( c2_1(X11)
        | c0_1(X11)
        | ~ c1_1(X11) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f645,plain,
    ( spl0_23
    | spl0_17
    | spl0_12
    | spl0_64 ),
    inference(avatar_split_clause,[],[f360,f642,f413,f434,f457]) ).

fof(f651,plain,
    ( spl0_34
    | spl0_58
    | spl0_12
    | spl0_64 ),
    inference(avatar_split_clause,[],[f363,f642,f413,f610,f501]) ).

fof(f653,definition,
    ( spl0_66
  <=> c2_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f655,plain,
    ( c2_1(a1148)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f656,plain,
    ( spl0_66
    | spl0_10 ),
    inference(avatar_split_clause,[],[f281,f404,f653]) ).

fof(f658,definition,
    ( spl0_67
  <=> c1_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f661,plain,
    ( ~ spl0_67
    | spl0_10 ),
    inference(avatar_split_clause,[],[f280,f404,f658]) ).

fof(f663,definition,
    ( spl0_68
  <=> c0_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f666,plain,
    ( spl0_68
    | spl0_10 ),
    inference(avatar_split_clause,[],[f279,f404,f663]) ).

fof(f674,definition,
    ( spl0_70
  <=> c1_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f677,plain,
    ( ~ spl0_70
    | spl0_30 ),
    inference(avatar_split_clause,[],[f276,f484,f674]) ).

fof(f679,definition,
    ( spl0_71
  <=> c0_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f682,plain,
    ( spl0_71
    | spl0_30 ),
    inference(avatar_split_clause,[],[f275,f484,f679]) ).

fof(f701,definition,
    ( spl0_75
  <=> c3_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f703,plain,
    ( c3_1(a1092)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f704,plain,
    ( spl0_75
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f78,f395,f701]) ).

fof(f706,definition,
    ( spl0_76
  <=> c2_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f708,plain,
    ( c2_1(a1092)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f709,plain,
    ( spl0_76
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f79,f395,f706]) ).

fof(f711,definition,
    ( spl0_77
  <=> c0_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f713,plain,
    ( c0_1(a1092)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f714,plain,
    ( spl0_77
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f80,f395,f711]) ).

fof(f733,definition,
    ( spl0_81
  <=> c0_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f736,plain,
    ( ~ spl0_81
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f86,f453,f733]) ).

fof(f738,definition,
    ( spl0_82
  <=> c3_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f740,plain,
    ( c3_1(a1146)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f741,plain,
    ( spl0_82
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f87,f453,f738]) ).

fof(f743,definition,
    ( spl0_83
  <=> c2_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f746,plain,
    ( spl0_83
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f88,f453,f743]) ).

fof(f749,definition,
    ( spl0_84
  <=> c3_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f751,plain,
    ( ~ c3_1(a1125)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f752,plain,
    ( ~ spl0_84
    | spl0_38 ),
    inference(avatar_split_clause,[],[f268,f520,f749]) ).

fof(f754,definition,
    ( spl0_85
  <=> c2_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f756,plain,
    ( ~ c2_1(a1125)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f757,plain,
    ( ~ spl0_85
    | spl0_38 ),
    inference(avatar_split_clause,[],[f267,f520,f754]) ).

fof(f759,definition,
    ( spl0_86
  <=> c1_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f762,plain,
    ( spl0_86
    | spl0_38 ),
    inference(avatar_split_clause,[],[f266,f520,f759]) ).

fof(f765,definition,
    ( spl0_87
  <=> c0_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f768,plain,
    ( ~ spl0_87
    | spl0_11 ),
    inference(avatar_split_clause,[],[f264,f409,f765]) ).

fof(f770,definition,
    ( spl0_88
  <=> c2_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f772,plain,
    ( c2_1(a1124)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f773,plain,
    ( spl0_88
    | spl0_11 ),
    inference(avatar_split_clause,[],[f263,f409,f770]) ).

fof(f775,definition,
    ( spl0_89
  <=> c1_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f778,plain,
    ( ~ spl0_89
    | spl0_11 ),
    inference(avatar_split_clause,[],[f262,f409,f775]) ).

fof(f781,definition,
    ( spl0_90
  <=> c3_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f783,plain,
    ( ~ c3_1(a1122)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f781]) ).

fof(f784,plain,
    ( ~ spl0_90
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f98,f542,f781]) ).

fof(f786,definition,
    ( spl0_91
  <=> c2_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f788,plain,
    ( c2_1(a1122)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f789,plain,
    ( spl0_91
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f99,f542,f786]) ).

fof(f791,definition,
    ( spl0_92
  <=> c0_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f794,plain,
    ( spl0_92
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f100,f542,f791]) ).

fof(f797,definition,
    ( spl0_93
  <=> c0_1(a1121) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f800,plain,
    ( ~ spl0_93
    | spl0_31 ),
    inference(avatar_split_clause,[],[f259,f489,f797]) ).

fof(f802,definition,
    ( spl0_94
  <=> c3_1(a1121) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f804,plain,
    ( c3_1(a1121)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f805,plain,
    ( spl0_94
    | spl0_31 ),
    inference(avatar_split_clause,[],[f258,f489,f802]) ).

fof(f807,definition,
    ( spl0_95
  <=> c1_1(a1121) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f810,plain,
    ( ~ spl0_95
    | spl0_31 ),
    inference(avatar_split_clause,[],[f257,f489,f807]) ).

fof(f813,definition,
    ( spl0_96
  <=> c3_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ c3_1(a1120)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f816,plain,
    ( ~ spl0_96
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f106,f510,f813]) ).

fof(f818,definition,
    ( spl0_97
  <=> c2_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f820,plain,
    ( c2_1(a1120)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f821,plain,
    ( spl0_97
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f107,f510,f818]) ).

fof(f823,definition,
    ( spl0_98
  <=> c1_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f826,plain,
    ( ~ spl0_98
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f255,f510,f823]) ).

fof(f845,definition,
    ( spl0_102
  <=> c2_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f847,plain,
    ( ~ c2_1(a1113)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f848,plain,
    ( ~ spl0_102
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f114,f430,f845]) ).

fof(f850,definition,
    ( spl0_103
  <=> c1_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f853,plain,
    ( ~ spl0_103
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f251,f430,f850]) ).

fof(f855,definition,
    ( spl0_104
  <=> c0_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f857,plain,
    ( c0_1(a1113)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f858,plain,
    ( spl0_104
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f116,f430,f855]) ).

fof(f861,definition,
    ( spl0_105
  <=> c1_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f864,plain,
    ( spl0_105
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f249,f387,f861]) ).

fof(f866,definition,
    ( spl0_106
  <=> c3_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f868,plain,
    ( c3_1(a1103)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f869,plain,
    ( spl0_106
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f119,f387,f866]) ).

fof(f871,definition,
    ( spl0_107
  <=> c0_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f874,plain,
    ( spl0_107
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f120,f387,f871]) ).

fof(f877,definition,
    ( spl0_108
  <=> c2_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f879,plain,
    ( ~ c2_1(a1102)
    | spl0_108 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f880,plain,
    ( ~ spl0_108
    | spl0_39 ),
    inference(avatar_split_clause,[],[f247,f525,f877]) ).

fof(f882,definition,
    ( spl0_109
  <=> c0_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f885,plain,
    ( ~ spl0_109
    | spl0_39 ),
    inference(avatar_split_clause,[],[f246,f525,f882]) ).

fof(f925,definition,
    ( spl0_117
  <=> c2_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f927,plain,
    ( ~ c2_1(a1097)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f928,plain,
    ( ~ spl0_117
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f134,f505,f925]) ).

fof(f930,definition,
    ( spl0_118
  <=> c3_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f932,plain,
    ( c3_1(a1097)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f933,plain,
    ( spl0_118
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f135,f505,f930]) ).

fof(f935,definition,
    ( spl0_119
  <=> c1_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f938,plain,
    ( ~ spl0_119
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f235,f505,f935]) ).

fof(f941,definition,
    ( spl0_120
  <=> c2_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f944,plain,
    ( ~ spl0_120
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f374,f941]) ).

fof(f946,definition,
    ( spl0_121
  <=> c1_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f949,plain,
    ( spl0_121
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f233,f374,f946]) ).

fof(f951,definition,
    ( spl0_122
  <=> c3_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f953,plain,
    ( c3_1(a1095)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f954,plain,
    ( spl0_122
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f374,f951]) ).

fof(f957,definition,
    ( spl0_123
  <=> c3_1(a1094) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f959,plain,
    ( ~ c3_1(a1094)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f960,plain,
    ( ~ spl0_123
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f142,f400,f957]) ).

fof(f962,definition,
    ( spl0_124
  <=> c1_1(a1094) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f965,plain,
    ( ~ spl0_124
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f231,f400,f962]) ).

fof(f967,definition,
    ( spl0_125
  <=> c0_1(a1094) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f970,plain,
    ( spl0_125
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f144,f400,f967]) ).

fof(f973,definition,
    ( spl0_126
  <=> c3_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f975,plain,
    ( ~ c3_1(a1091)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f976,plain,
    ( ~ spl0_126
    | spl0_33 ),
    inference(avatar_split_clause,[],[f229,f497,f973]) ).

fof(f978,definition,
    ( spl0_127
  <=> c0_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f981,plain,
    ( ~ spl0_127
    | spl0_33 ),
    inference(avatar_split_clause,[],[f228,f497,f978]) ).

fof(f983,definition,
    ( spl0_128
  <=> c2_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f986,plain,
    ( spl0_128
    | spl0_33 ),
    inference(avatar_split_clause,[],[f227,f497,f983]) ).

fof(f989,definition,
    ( spl0_129
  <=> c3_1(a1090) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f991,plain,
    ( ~ c3_1(a1090)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f992,plain,
    ( ~ spl0_129
    | spl0_60 ),
    inference(avatar_split_clause,[],[f225,f619,f989]) ).

fof(f994,definition,
    ( spl0_130
  <=> c1_1(a1090) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f997,plain,
    ( spl0_130
    | spl0_60 ),
    inference(avatar_split_clause,[],[f224,f619,f994]) ).

fof(f999,definition,
    ( spl0_131
  <=> c0_1(a1090) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f1002,plain,
    ( ~ spl0_131
    | spl0_60 ),
    inference(avatar_split_clause,[],[f223,f619,f999]) ).

fof(f1005,definition,
    ( spl0_132
  <=> c1_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f1008,plain,
    ( spl0_132
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f221,f464,f1005]) ).

fof(f1010,definition,
    ( spl0_133
  <=> c3_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f1012,plain,
    ( c3_1(a1089)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1013,plain,
    ( spl0_133
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f155,f464,f1010]) ).

fof(f1015,definition,
    ( spl0_134
  <=> c2_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f1017,plain,
    ( c2_1(a1089)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f1015]) ).

fof(f1018,plain,
    ( spl0_134
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f156,f464,f1015]) ).

fof(f1021,definition,
    ( spl0_135
  <=> c2_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f1023,plain,
    ( ~ c2_1(a1088)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1024,plain,
    ( ~ spl0_135
    | spl0_46 ),
    inference(avatar_split_clause,[],[f219,f554,f1021]) ).

fof(f1031,definition,
    ( spl0_137
  <=> c0_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f1034,plain,
    ( spl0_137
    | spl0_46 ),
    inference(avatar_split_clause,[],[f217,f554,f1031]) ).

fof(f1053,definition,
    ( spl0_141
  <=> c1_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1056,plain,
    ( spl0_141
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f211,f391,f1053]) ).

fof(f1058,definition,
    ( spl0_142
  <=> c2_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1060,plain,
    ( c2_1(a1086)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f1058]) ).

fof(f1061,plain,
    ( spl0_142
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f167,f391,f1058]) ).

fof(f1063,definition,
    ( spl0_143
  <=> c0_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1066,plain,
    ( spl0_143
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f168,f391,f1063]) ).

fof(f1069,definition,
    ( spl0_144
  <=> c1_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1072,plain,
    ( spl0_144
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f209,f365,f1069]) ).

fof(f1074,definition,
    ( spl0_145
  <=> c0_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1077,plain,
    ( ~ spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f365,f1074]) ).

fof(f1079,definition,
    ( spl0_146
  <=> c2_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1081,plain,
    ( c2_1(a1085)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f1079]) ).

fof(f1082,plain,
    ( spl0_146
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f365,f1079]) ).

fof(f1083,plain,
    ( ~ spl0_12
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f208,f365,f413]) ).

fof(f1085,definition,
    ( spl0_147
  <=> c3_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1087,plain,
    ( ~ c3_1(a1084)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f1085]) ).

fof(f1088,plain,
    ( ~ spl0_147
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f174,f476,f1085]) ).

fof(f1095,definition,
    ( spl0_149
  <=> c0_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1098,plain,
    ( spl0_149
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f176,f476,f1095]) ).

fof(f1101,definition,
    ( spl0_150
  <=> c3_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1103,plain,
    ( ~ c3_1(a1083)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f1104,plain,
    ( ~ spl0_150
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f178,f421,f1101]) ).

fof(f1106,definition,
    ( spl0_151
  <=> c2_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1109,plain,
    ( ~ spl0_151
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f179,f421,f1106]) ).

fof(f1111,definition,
    ( spl0_152
  <=> c1_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1114,plain,
    ( ~ spl0_152
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f205,f421,f1111]) ).

fof(f1117,definition,
    ( spl0_153
  <=> c3_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1119,plain,
    ( ~ c3_1(a1082)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1117]) ).

fof(f1120,plain,
    ( ~ spl0_153
    | spl0_15 ),
    inference(avatar_split_clause,[],[f203,f426,f1117]) ).

fof(f1122,definition,
    ( spl0_154
  <=> c2_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1124,plain,
    ( ~ c2_1(a1082)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f1125,plain,
    ( ~ spl0_154
    | spl0_15 ),
    inference(avatar_split_clause,[],[f202,f426,f1122]) ).

fof(f1127,definition,
    ( spl0_155
  <=> c0_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1130,plain,
    ( ~ spl0_155
    | spl0_15 ),
    inference(avatar_split_clause,[],[f201,f426,f1127]) ).

fof(f1149,definition,
    ( spl0_159
  <=> c2_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1151,plain,
    ( ~ c2_1(a1080)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1149]) ).

fof(f1152,plain,
    ( ~ spl0_159
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f190,f369,f1149]) ).

fof(f1154,definition,
    ( spl0_160
  <=> c0_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1157,plain,
    ( ~ spl0_160
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f191,f369,f1154]) ).

fof(f1159,definition,
    ( spl0_161
  <=> c1_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1162,plain,
    ( ~ spl0_161
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f195,f369,f1159]) ).

fof(f1163,plain,
    ( ~ spl0_12
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f194,f369,f413]) ).

fof(f1166,definition,
    ( spl0_162
  <=> c1_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1170,plain,
    ( ~ c0_1(a1148)
    | c1_1(a1148)
    | ~ spl0_18
    | ~ spl0_66 ),
    inference(resolution,[],[f439,f655]) ).

fof(f1171,plain,
    ( ~ c0_1(a1092)
    | c1_1(a1092)
    | ~ spl0_18
    | ~ spl0_76 ),
    inference(resolution,[],[f439,f708]) ).

fof(f1191,plain,
    ( ~ c2_1(a1120)
    | c1_1(a1120)
    | ~ spl0_19
    | spl0_96 ),
    inference(resolution,[],[f443,f815]) ).

fof(f1202,definition,
    ( spl0_163
  <=> c2_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1203,plain,
    ( c2_1(a1109)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f1204,plain,
    ( ~ c2_1(a1109)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f1218,definition,
    ( spl0_166
  <=> c2_1(a1094) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1223,definition,
    ( spl0_167
  <=> c2_1(a1090) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1228,definition,
    ( spl0_168
  <=> c2_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1229,plain,
    ( c2_1(a1084)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1228]) ).

fof(f1246,plain,
    ( ~ c2_1(a1094)
    | ~ c0_1(a1094)
    | ~ spl0_20
    | spl0_123 ),
    inference(resolution,[],[f446,f959]) ).

fof(f1253,plain,
    ( ~ c2_1(a1122)
    | ~ c0_1(a1122)
    | ~ spl0_20
    | spl0_90 ),
    inference(resolution,[],[f446,f783]) ).

fof(f1270,plain,
    ( c1_1(a1094)
    | ~ c0_1(a1094)
    | ~ spl0_21
    | spl0_123 ),
    inference(resolution,[],[f450,f959]) ).

fof(f1277,plain,
    ( c1_1(a1122)
    | ~ c0_1(a1122)
    | ~ spl0_21
    | spl0_90 ),
    inference(resolution,[],[f450,f783]) ).

fof(f1296,definition,
    ( spl0_172
  <=> c0_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1301,definition,
    ( spl0_173
  <=> c0_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1311,definition,
    ( spl0_175
  <=> c0_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1316,definition,
    ( spl0_176
  <=> c0_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1328,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(resolution,[],[f458,f446]) ).

fof(f1329,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f1328]) ).

fof(f1339,plain,
    ( c2_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl0_26
    | ~ spl0_106 ),
    inference(resolution,[],[f469,f868]) ).

fof(f1341,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(resolution,[],[f469,f450]) ).

fof(f1344,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f1341]) ).

fof(f1346,definition,
    ( spl0_178
  <=> c0_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1351,definition,
    ( spl0_179
  <=> c2_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1352,plain,
    ( ~ c2_1(a1103)
    | spl0_179 ),
    inference(avatar_component_clause,[],[f1351]) ).

fof(f1353,plain,
    ( c2_1(a1103)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1351]) ).

fof(f1354,plain,
    ( ~ spl0_107
    | spl0_179
    | ~ spl0_26
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1339,f866,f468,f1351,f871]) ).

fof(f1355,plain,
    ( ~ c0_1(a1103)
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_179 ),
    inference(resolution,[],[f1353,f1329]) ).

fof(f1357,plain,
    ( ~ spl0_107
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1355,f1351,f457,f445,f871]) ).

fof(f1360,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(resolution,[],[f435,f450]) ).

fof(f1363,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f1360]) ).

fof(f1366,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(resolution,[],[f481,f439]) ).

fof(f1394,plain,
    ( c1_1(a1109)
    | ~ c0_1(a1109)
    | ~ spl0_29
    | spl0_163 ),
    inference(resolution,[],[f481,f1204]) ).

fof(f1395,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(duplicate_literal_removal,[],[f1366]) ).

fof(f1396,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(resolution,[],[f494,f435]) ).

fof(f1397,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(resolution,[],[f494,f469]) ).

fof(f1403,plain,
    ( ~ c0_1(a1084)
    | c2_1(a1084)
    | ~ spl0_32
    | spl0_147 ),
    inference(resolution,[],[f494,f1087]) ).

fof(f1408,plain,
    ( ~ c0_1(a1094)
    | c2_1(a1094)
    | ~ spl0_32
    | spl0_123 ),
    inference(resolution,[],[f494,f959]) ).

fof(f1416,plain,
    ( ~ c0_1(a1125)
    | c2_1(a1125)
    | ~ spl0_32
    | spl0_84 ),
    inference(resolution,[],[f494,f751]) ).

fof(f1423,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_26
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f1397]) ).

fof(f1424,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f1396]) ).

fof(f1439,plain,
    ( ~ c0_1(a1088)
    | ~ spl0_26
    | ~ spl0_32
    | spl0_135 ),
    inference(resolution,[],[f1423,f1023]) ).

fof(f1468,plain,
    ( ~ c1_1(a1089)
    | ~ c2_1(a1089)
    | ~ spl0_34
    | ~ spl0_133 ),
    inference(resolution,[],[f502,f1012]) ).

fof(f1470,plain,
    ( ~ c1_1(a1103)
    | ~ c2_1(a1103)
    | ~ spl0_34
    | ~ spl0_106 ),
    inference(resolution,[],[f502,f868]) ).

fof(f1475,plain,
    ( ~ c0_1(a1120)
    | c1_1(a1120)
    | ~ spl0_18
    | ~ spl0_97 ),
    inference(resolution,[],[f820,f439]) ).

fof(f1478,plain,
    ( ~ c1_1(a1089)
    | ~ c0_1(a1089)
    | ~ spl0_37
    | ~ spl0_134 ),
    inference(resolution,[],[f516,f1017]) ).

fof(f1480,plain,
    ( ~ c1_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl0_37
    | ~ spl0_179 ),
    inference(resolution,[],[f516,f1353]) ).

fof(f1483,plain,
    ( ~ c1_1(a1092)
    | ~ c0_1(a1092)
    | ~ spl0_37
    | ~ spl0_76 ),
    inference(resolution,[],[f516,f708]) ).

fof(f1486,plain,
    ( ~ spl0_107
    | ~ spl0_105
    | ~ spl0_37
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1480,f1351,f515,f861,f871]) ).

fof(f1517,plain,
    ( ~ c1_1(a1095)
    | c2_1(a1095)
    | ~ spl0_42
    | ~ spl0_122 ),
    inference(resolution,[],[f538,f953]) ).

fof(f1518,plain,
    ( ~ c1_1(a1103)
    | c2_1(a1103)
    | ~ spl0_42
    | ~ spl0_106 ),
    inference(resolution,[],[f538,f868]) ).

fof(f1530,plain,
    ( c1_1(a1083)
    | c2_1(a1083)
    | ~ spl0_44
    | spl0_150 ),
    inference(resolution,[],[f547,f1103]) ).

fof(f1560,definition,
    ( spl0_181
  <=> c1_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1566,definition,
    ( spl0_182
  <=> c1_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1583,definition,
    ( spl0_184
  <=> c1_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1596,plain,
    ( ~ c1_1(a1122)
    | ~ c0_1(a1122)
    | ~ spl0_37
    | ~ spl0_91 ),
    inference(resolution,[],[f788,f516]) ).

fof(f1597,plain,
    ( ~ c0_1(a1122)
    | c1_1(a1122)
    | ~ spl0_18
    | ~ spl0_91 ),
    inference(resolution,[],[f788,f439]) ).

fof(f1608,plain,
    ( c2_1(a1097)
    | c1_1(a1097)
    | ~ spl0_24
    | ~ spl0_118 ),
    inference(resolution,[],[f932,f461]) ).

fof(f1622,plain,
    ( ~ c0_1(a1109)
    | c1_1(a1109)
    | ~ spl0_18
    | ~ spl0_163 ),
    inference(resolution,[],[f1203,f439]) ).

fof(f1665,plain,
    ( ~ c0_1(a1084)
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_168 ),
    inference(resolution,[],[f1329,f1229]) ).

fof(f1680,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(resolution,[],[f458,f450]) ).

fof(f1685,plain,
    ( ~ c0_1(a1089)
    | ~ c2_1(a1089)
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(resolution,[],[f458,f1012]) ).

fof(f1695,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(duplicate_literal_removal,[],[f1680]) ).

fof(f1701,plain,
    ( c1_1(a1082)
    | c2_1(a1082)
    | ~ spl0_44
    | spl0_153 ),
    inference(resolution,[],[f547,f1119]) ).

fof(f1731,plain,
    ( ~ c0_1(a1103)
    | ~ c1_1(a1103)
    | ~ spl0_45
    | spl0_179 ),
    inference(resolution,[],[f551,f1352]) ).

fof(f1747,plain,
    ( ~ c1_1(a1086)
    | ~ c0_1(a1086)
    | ~ spl0_37
    | ~ spl0_142 ),
    inference(resolution,[],[f1060,f516]) ).

fof(f1749,plain,
    ( ~ spl0_143
    | ~ spl0_141
    | ~ spl0_37
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1747,f1058,f515,f1053,f1063]) ).

fof(f1761,plain,
    ( ~ c1_1(a1090)
    | c2_1(a1090)
    | ~ spl0_47
    | spl0_129 ),
    inference(resolution,[],[f559,f991]) ).

fof(f1767,plain,
    ( ~ c1_1(a1125)
    | c2_1(a1125)
    | ~ spl0_47
    | spl0_84 ),
    inference(resolution,[],[f559,f751]) ).

fof(f1772,plain,
    ( spl0_167
    | ~ spl0_130
    | ~ spl0_47
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1761,f989,f558,f994,f1223]) ).

fof(f1775,plain,
    ( spl0_29
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f1424,f493,f434,f480]) ).

fof(f1795,plain,
    ( c1_1(a1097)
    | ~ c0_1(a1097)
    | ~ spl0_29
    | spl0_117 ),
    inference(resolution,[],[f481,f927]) ).

fof(f1800,plain,
    ( c1_1(a1113)
    | ~ c0_1(a1113)
    | ~ spl0_29
    | spl0_102 ),
    inference(resolution,[],[f481,f847]) ).

fof(f1816,plain,
    ( c0_1(a1089)
    | ~ c2_1(a1089)
    | ~ spl0_48
    | ~ spl0_133 ),
    inference(resolution,[],[f565,f1012]) ).

fof(f1823,plain,
    ( c0_1(a1146)
    | ~ c2_1(a1146)
    | ~ spl0_48
    | ~ spl0_82 ),
    inference(resolution,[],[f565,f740]) ).

fof(f1828,plain,
    ( c1_1(a1113)
    | ~ spl0_18
    | ~ spl0_29
    | ~ spl0_104 ),
    inference(resolution,[],[f857,f1395]) ).

fof(f1829,plain,
    ( spl0_103
    | ~ spl0_18
    | ~ spl0_29
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1828,f855,f480,f438,f850]) ).

fof(f1840,plain,
    ( c0_1(a1097)
    | c1_1(a1097)
    | ~ spl0_49
    | ~ spl0_118 ),
    inference(resolution,[],[f570,f932]) ).

fof(f1844,plain,
    ( c0_1(a1121)
    | c1_1(a1121)
    | ~ spl0_49
    | ~ spl0_94 ),
    inference(resolution,[],[f570,f804]) ).

fof(f1849,plain,
    ( spl0_95
    | spl0_93
    | ~ spl0_49
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1844,f802,f569,f797,f807]) ).

fof(f1852,plain,
    ( spl0_119
    | spl0_175
    | ~ spl0_49
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1840,f930,f569,f1311,f935]) ).

fof(f1890,plain,
    ( ~ c2_1(a1091)
    | c0_1(a1091)
    | ~ spl0_53
    | spl0_126 ),
    inference(resolution,[],[f588,f975]) ).

fof(f1913,plain,
    ( ~ spl0_149
    | ~ spl0_20
    | ~ spl0_23
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1665,f1228,f457,f445,f1095]) ).

fof(f1942,plain,
    ( c0_1(a1120)
    | c1_1(a1120)
    | ~ spl0_51
    | ~ spl0_97 ),
    inference(resolution,[],[f579,f820]) ).

fof(f1944,plain,
    ( c0_1(a1124)
    | c1_1(a1124)
    | ~ spl0_51
    | ~ spl0_88 ),
    inference(resolution,[],[f579,f772]) ).

fof(f1949,plain,
    ( ~ c2_1(a1090)
    | c0_1(a1090)
    | ~ spl0_53
    | spl0_129 ),
    inference(resolution,[],[f588,f991]) ).

fof(f1951,plain,
    ( ~ c2_1(a1120)
    | c0_1(a1120)
    | ~ spl0_53
    | spl0_96 ),
    inference(resolution,[],[f588,f815]) ).

fof(f1962,plain,
    ( c1_1(a1120)
    | c0_1(a1120)
    | ~ spl0_55
    | spl0_96 ),
    inference(resolution,[],[f598,f815]) ).

fof(f1970,plain,
    ( c1_1(a1080)
    | c0_1(a1080)
    | ~ spl0_56
    | spl0_159 ),
    inference(resolution,[],[f602,f1151]) ).

fof(f1983,plain,
    ( c1_1(a1102)
    | c0_1(a1102)
    | ~ spl0_56
    | spl0_108 ),
    inference(resolution,[],[f602,f879]) ).

fof(f1997,plain,
    ( spl0_109
    | spl0_182
    | ~ spl0_56
    | spl0_108 ),
    inference(avatar_split_clause,[],[f1983,f877,f601,f1566,f882]) ).

fof(f2004,plain,
    ( spl0_160
    | spl0_161
    | ~ spl0_56
    | spl0_159 ),
    inference(avatar_split_clause,[],[f1970,f1149,f601,f1159,f1154]) ).

fof(f2006,plain,
    ( spl0_127
    | ~ spl0_128
    | ~ spl0_53
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1890,f973,f587,f983,f978]) ).

fof(f2030,plain,
    ( c0_1(a1125)
    | c2_1(a1125)
    | ~ spl0_58
    | spl0_84 ),
    inference(resolution,[],[f611,f751]) ).

fof(f2037,plain,
    ( spl0_166
    | ~ spl0_125
    | ~ spl0_32
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1408,f957,f493,f967,f1218]) ).

fof(f2051,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(resolution,[],[f615,f588]) ).

fof(f2060,plain,
    ( c0_1(a1095)
    | ~ c1_1(a1095)
    | ~ spl0_59
    | ~ spl0_122 ),
    inference(resolution,[],[f615,f953]) ).

fof(f2069,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f2051]) ).

fof(f2074,plain,
    ( ~ spl0_121
    | spl0_178
    | ~ spl0_59
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2060,f951,f614,f1346,f946]) ).

fof(f2084,plain,
    ( ~ spl0_104
    | spl0_103
    | ~ spl0_29
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1800,f845,f480,f850,f855]) ).

fof(f2092,plain,
    ( c0_1(a1085)
    | ~ c1_1(a1085)
    | ~ spl0_61
    | ~ spl0_146 ),
    inference(resolution,[],[f625,f1081]) ).

fof(f2094,plain,
    ( c0_1(a1089)
    | ~ c1_1(a1089)
    | ~ spl0_61
    | ~ spl0_134 ),
    inference(resolution,[],[f625,f1017]) ).

fof(f2106,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_44
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1530,f1101,f546,f1111,f1106]) ).

fof(f2156,plain,
    ( c0_1(a1082)
    | ~ c1_1(a1082)
    | ~ spl0_64
    | spl0_154 ),
    inference(resolution,[],[f643,f1124]) ).

fof(f2166,plain,
    ( c0_1(a1102)
    | ~ c1_1(a1102)
    | ~ spl0_64
    | spl0_108 ),
    inference(resolution,[],[f643,f879]) ).

fof(f2171,plain,
    ( c0_1(a1125)
    | ~ c1_1(a1125)
    | ~ spl0_64
    | spl0_85 ),
    inference(resolution,[],[f643,f756]) ).

fof(f2180,plain,
    ( ~ spl0_86
    | spl0_172
    | ~ spl0_64
    | spl0_85 ),
    inference(avatar_split_clause,[],[f2171,f754,f642,f1296,f759]) ).

fof(f2218,plain,
    ( ~ spl0_92
    | ~ spl0_91
    | ~ spl0_20
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1253,f781,f445,f786,f791]) ).

fof(f2220,plain,
    ( ~ spl0_179
    | ~ spl0_105
    | ~ spl0_34
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1470,f866,f501,f861,f1351]) ).

fof(f2224,plain,
    ( spl0_179
    | ~ spl0_105
    | ~ spl0_42
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1518,f866,f537,f861,f1351]) ).

fof(f2228,plain,
    ( spl0_120
    | ~ spl0_121
    | ~ spl0_42
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1517,f951,f537,f946,f941]) ).

fof(f2230,plain,
    ( spl0_85
    | ~ spl0_86
    | ~ spl0_47
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1767,f749,f558,f759,f754]) ).

fof(f2235,plain,
    ( spl0_61
    | ~ spl0_53
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f2069,f614,f587,f624]) ).

fof(f2250,plain,
    ( ~ spl0_77
    | ~ spl0_162
    | ~ spl0_37
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1483,f706,f515,f1166,f711]) ).

fof(f2256,plain,
    ( spl0_18
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f1695,f457,f449,f438]) ).

fof(f2258,plain,
    ( ~ spl0_125
    | spl0_124
    | ~ spl0_21
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1270,f957,f449,f962,f967]) ).

fof(f2263,plain,
    ( ~ spl0_134
    | ~ spl0_176
    | ~ spl0_23
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1685,f1010,f457,f1316,f1015]) ).

fof(f2271,plain,
    ( spl0_131
    | ~ spl0_167
    | ~ spl0_53
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1949,f989,f587,f1223,f999]) ).

fof(f2277,plain,
    ( ~ spl0_71
    | spl0_70
    | ~ spl0_29
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1394,f1202,f480,f674,f679]) ).

fof(f2278,plain,
    ( ~ spl0_175
    | spl0_119
    | ~ spl0_29
    | spl0_117 ),
    inference(avatar_split_clause,[],[f1795,f925,f480,f935,f1311]) ).

fof(f2286,plain,
    ( spl0_181
    | ~ spl0_92
    | ~ spl0_18
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1597,f786,f438,f791,f1560]) ).

fof(f2289,plain,
    ( spl0_98
    | ~ spl0_97
    | ~ spl0_19
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1191,f813,f442,f818,f823]) ).

fof(f2298,plain,
    ( spl0_119
    | spl0_117
    | ~ spl0_24
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1608,f930,f460,f925,f935]) ).

fof(f2301,plain,
    ( ~ spl0_176
    | ~ spl0_132
    | ~ spl0_37
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1478,f1015,f515,f1005,f1316]) ).

fof(f2323,plain,
    ( ~ spl0_92
    | ~ spl0_181
    | ~ spl0_37
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1596,f786,f515,f1560,f791]) ).

fof(f2324,plain,
    ( spl0_173
    | spl0_98
    | ~ spl0_55
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1962,f813,f597,f823,f1301]) ).

fof(f2327,plain,
    ( ~ spl0_144
    | spl0_145
    | ~ spl0_61
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2092,f1079,f624,f1074,f1069]) ).

fof(f2329,plain,
    ( ~ spl0_132
    | spl0_176
    | ~ spl0_61
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f2094,f1015,f624,f1316,f1005]) ).

fof(f2341,plain,
    ( ~ spl0_182
    | spl0_109
    | ~ spl0_64
    | spl0_108 ),
    inference(avatar_split_clause,[],[f2166,f877,f642,f882,f1566]) ).

fof(f2349,plain,
    ( ~ spl0_83
    | spl0_81
    | ~ spl0_48
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1823,f738,f564,f733,f743]) ).

fof(f2351,plain,
    ( ~ spl0_134
    | spl0_176
    | ~ spl0_48
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1816,f1010,f564,f1316,f1015]) ).

fof(f2367,plain,
    ( spl0_85
    | spl0_172
    | ~ spl0_58
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2030,f749,f610,f1296,f754]) ).

fof(f2370,plain,
    ( ~ spl0_184
    | spl0_155
    | ~ spl0_64
    | spl0_154 ),
    inference(avatar_split_clause,[],[f2156,f1122,f642,f1127,f1583]) ).

fof(f2372,plain,
    ( ~ spl0_92
    | spl0_181
    | ~ spl0_21
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1277,f781,f449,f1560,f791]) ).

fof(f2379,plain,
    ( c1_1(a1120)
    | ~ c0_1(a1120)
    | ~ spl0_21
    | spl0_96 ),
    inference(resolution,[],[f450,f815]) ).

fof(f2388,plain,
    ( ~ c2_1(a1122)
    | ~ c1_1(a1122)
    | ~ spl0_40
    | spl0_90 ),
    inference(resolution,[],[f530,f783]) ).

fof(f2390,plain,
    ( ~ spl0_181
    | ~ spl0_91
    | ~ spl0_40
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2388,f781,f529,f786,f1560]) ).

fof(f2401,plain,
    ( c1_1(a1113)
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_104 ),
    inference(resolution,[],[f1363,f857]) ).

fof(f2406,plain,
    ( c1_1(a1092)
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_77 ),
    inference(resolution,[],[f1363,f713]) ).

fof(f2413,plain,
    ( spl0_162
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f2406,f711,f449,f434,f1166]) ).

fof(f2414,plain,
    ( spl0_103
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2401,f855,f449,f434,f850]) ).

fof(f2415,plain,
    ( ~ spl0_125
    | ~ spl0_166
    | ~ spl0_20
    | spl0_123 ),
    inference(avatar_split_clause,[],[f1246,f957,f445,f1218,f967]) ).

fof(f2429,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_57 ),
    inference(resolution,[],[f607,f446]) ).

fof(f2436,plain,
    ( ~ c1_1(a1095)
    | ~ c0_1(a1095)
    | ~ spl0_57
    | ~ spl0_122 ),
    inference(resolution,[],[f607,f953]) ).

fof(f2440,plain,
    ( ~ c1_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl0_57
    | ~ spl0_106 ),
    inference(resolution,[],[f607,f868]) ).

fof(f2448,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f2429]) ).

fof(f2451,plain,
    ( ~ spl0_107
    | ~ spl0_105
    | ~ spl0_57
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2440,f866,f606,f861,f871]) ).

fof(f2452,plain,
    ( ~ spl0_178
    | ~ spl0_121
    | ~ spl0_57
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2436,f951,f606,f946,f1346]) ).

fof(f2456,plain,
    ( spl0_37
    | ~ spl0_20
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f2448,f606,f445,f515]) ).

fof(f2458,plain,
    ( spl0_67
    | ~ spl0_68
    | ~ spl0_18
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1170,f653,f438,f663,f658]) ).

fof(f2459,plain,
    ( spl0_162
    | ~ spl0_77
    | ~ spl0_18
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f1171,f706,f438,f711,f1166]) ).

fof(f2460,plain,
    ( spl0_98
    | ~ spl0_173
    | ~ spl0_18
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1475,f818,f438,f1301,f823]) ).

fof(f2462,plain,
    ( spl0_70
    | ~ spl0_71
    | ~ spl0_18
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1622,f1202,f438,f679,f674]) ).

fof(f2465,plain,
    ( ~ spl0_173
    | spl0_98
    | ~ spl0_21
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2379,f813,f449,f823,f1301]) ).

fof(f2468,plain,
    ( spl0_168
    | ~ spl0_149
    | ~ spl0_32
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1403,f1085,f493,f1095,f1228]) ).

fof(f2469,plain,
    ( spl0_85
    | ~ spl0_172
    | ~ spl0_32
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1416,f749,f493,f1296,f754]) ).

fof(f2470,plain,
    ( ~ spl0_134
    | ~ spl0_132
    | ~ spl0_34
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1468,f1010,f501,f1005,f1015]) ).

fof(f2476,plain,
    ( ~ spl0_105
    | ~ spl0_107
    | ~ spl0_45
    | spl0_179 ),
    inference(avatar_split_clause,[],[f1731,f1351,f550,f871,f861]) ).

fof(f2485,plain,
    ( spl0_98
    | spl0_173
    | ~ spl0_51
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1942,f818,f578,f1301,f823]) ).

fof(f2486,plain,
    ( spl0_89
    | spl0_87
    | ~ spl0_51
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1944,f770,f578,f765,f775]) ).

fof(f2492,plain,
    ( spl0_173
    | ~ spl0_97
    | ~ spl0_53
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1951,f813,f587,f818,f1301]) ).

fof(f2496,plain,
    ( spl0_154
    | spl0_184
    | ~ spl0_44
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1701,f1117,f546,f1583,f1122]) ).

fof(f2577,plain,
    ( ~ c0_1(a1092)
    | ~ c2_1(a1092)
    | ~ spl0_23
    | ~ spl0_75 ),
    inference(resolution,[],[f458,f703]) ).

fof(f2582,plain,
    ( ~ spl0_76
    | ~ spl0_77
    | ~ spl0_23
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f2577,f701,f457,f711,f706]) ).

fof(f2587,plain,
    ( spl0_29
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1344,f468,f449,f480]) ).

fof(f2590,plain,
    ( ~ spl0_137
    | ~ spl0_26
    | ~ spl0_32
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1439,f1021,f493,f468,f1031]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_9
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_3
    | spl0_12
    | spl0_18 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s9,plain,
    ( ~ spl0_10
    | spl0_12
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s10,plain,
    ( spl0_1
    | spl0_12
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s11,plain,
    ( spl0_12
    | spl0_22
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s12,plain,
    ( spl0_8
    | spl0_12
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f470]) ).

cnf(s18,plain,
    ( spl0_12
    | spl0_34
    | spl0_36 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s20,plain,
    ( spl0_12
    | spl0_35
    | spl0_37 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s21,plain,
    ( spl0_12
    | spl0_18
    | spl0_37
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f523]) ).

cnf(s24,plain,
    ( ~ spl0_11
    | spl0_12
    | ~ spl0_38
    | spl0_42 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s26,plain,
    ( spl0_12
    | spl0_42
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f548]) ).

cnf(s27,plain,
    ( spl0_12
    | ~ spl0_31
    | spl0_36
    | spl0_45 ),
    inference(sat_conversion,[],[f552]) ).

cnf(s30,plain,
    ( spl0_12
    | spl0_21
    | spl0_25
    | spl0_47 ),
    inference(sat_conversion,[],[f562]) ).

cnf(s32,plain,
    ( spl0_12
    | spl0_16
    | spl0_48 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s33,plain,
    ( spl0_12
    | ~ spl0_15
    | spl0_25
    | spl0_49 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s34,plain,
    ( spl0_6
    | spl0_12
    | ~ spl0_30
    | spl0_49 ),
    inference(sat_conversion,[],[f572]) ).

cnf(s36,plain,
    ( spl0_12
    | spl0_25
    | spl0_40
    | spl0_51 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s38,plain,
    ( spl0_6
    | spl0_12
    | spl0_53 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s39,plain,
    ( spl0_12
    | spl0_17
    | ~ spl0_39
    | spl0_53 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s43,plain,
    ( spl0_1
    | spl0_12
    | spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f608]) ).

cnf(s46,plain,
    ( spl0_12
    | spl0_23
    | ~ spl0_33
    | spl0_59 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s47,plain,
    ( spl0_12
    | spl0_18
    | spl0_59
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s48,plain,
    ( spl0_12
    | spl0_25
    | ~ spl0_46
    | spl0_61 ),
    inference(sat_conversion,[],[f626]) ).

cnf(s50,plain,
    ( spl0_12
    | spl0_29
    | spl0_32
    | spl0_61 ),
    inference(sat_conversion,[],[f632]) ).

cnf(s51,plain,
    ( spl0_1
    | spl0_12
    | spl0_34
    | spl0_61 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s52,plain,
    ( spl0_12
    | spl0_18
    | spl0_51
    | spl0_61 ),
    inference(sat_conversion,[],[f634]) ).

cnf(s53,plain,
    ( spl0_12
    | spl0_28
    | spl0_55
    | spl0_61 ),
    inference(sat_conversion,[],[f635]) ).

cnf(s54,plain,
    ( spl0_12
    | spl0_14
    | spl0_56
    | spl0_61 ),
    inference(sat_conversion,[],[f636]) ).

cnf(s57,plain,
    ( spl0_12
    | spl0_17
    | spl0_23
    | spl0_64 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s60,plain,
    ( spl0_12
    | spl0_34
    | spl0_58
    | spl0_64 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s61,plain,
    ( spl0_10
    | spl0_66 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s62,plain,
    ( spl0_10
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s63,plain,
    ( spl0_10
    | spl0_68 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s66,plain,
    ( spl0_30
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s67,plain,
    ( spl0_30
    | spl0_71 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s73,plain,
    ( ~ spl0_8
    | spl0_75 ),
    inference(sat_conversion,[],[f704]) ).

cnf(s74,plain,
    ( ~ spl0_8
    | spl0_76 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s75,plain,
    ( ~ spl0_8
    | spl0_77 ),
    inference(sat_conversion,[],[f714]) ).

cnf(s81,plain,
    ( ~ spl0_22
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f736]) ).

cnf(s82,plain,
    ( ~ spl0_22
    | spl0_82 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s83,plain,
    ( ~ spl0_22
    | spl0_83 ),
    inference(sat_conversion,[],[f746]) ).

cnf(s85,plain,
    ( spl0_38
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f752]) ).

cnf(s86,plain,
    ( spl0_38
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f757]) ).

cnf(s87,plain,
    ( spl0_38
    | spl0_86 ),
    inference(sat_conversion,[],[f762]) ).

cnf(s89,plain,
    ( spl0_11
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f768]) ).

cnf(s90,plain,
    ( spl0_11
    | spl0_88 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s91,plain,
    ( spl0_11
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f778]) ).

cnf(s93,plain,
    ( ~ spl0_43
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f784]) ).

cnf(s94,plain,
    ( ~ spl0_43
    | spl0_91 ),
    inference(sat_conversion,[],[f789]) ).

cnf(s95,plain,
    ( ~ spl0_43
    | spl0_92 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s97,plain,
    ( spl0_31
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f800]) ).

cnf(s98,plain,
    ( spl0_31
    | spl0_94 ),
    inference(sat_conversion,[],[f805]) ).

cnf(s99,plain,
    ( spl0_31
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s101,plain,
    ( ~ spl0_36
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s102,plain,
    ( ~ spl0_36
    | spl0_97 ),
    inference(sat_conversion,[],[f821]) ).

cnf(s103,plain,
    ( ~ spl0_36
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f826]) ).

cnf(s109,plain,
    ( ~ spl0_16
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s110,plain,
    ( ~ spl0_16
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s111,plain,
    ( ~ spl0_16
    | spl0_104 ),
    inference(sat_conversion,[],[f858]) ).

cnf(s113,plain,
    ( ~ spl0_6
    | spl0_105 ),
    inference(sat_conversion,[],[f864]) ).

cnf(s114,plain,
    ( ~ spl0_6
    | spl0_106 ),
    inference(sat_conversion,[],[f869]) ).

cnf(s115,plain,
    ( ~ spl0_6
    | spl0_107 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s117,plain,
    ( spl0_39
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f880]) ).

cnf(s118,plain,
    ( spl0_39
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s129,plain,
    ( ~ spl0_35
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f928]) ).

cnf(s130,plain,
    ( ~ spl0_35
    | spl0_118 ),
    inference(sat_conversion,[],[f933]) ).

cnf(s131,plain,
    ( ~ spl0_35
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f938]) ).

cnf(s133,plain,
    ( ~ spl0_3
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f944]) ).

cnf(s134,plain,
    ( ~ spl0_3
    | spl0_121 ),
    inference(sat_conversion,[],[f949]) ).

cnf(s135,plain,
    ( ~ spl0_3
    | spl0_122 ),
    inference(sat_conversion,[],[f954]) ).

cnf(s137,plain,
    ( ~ spl0_9
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s138,plain,
    ( ~ spl0_9
    | ~ spl0_124 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s139,plain,
    ( ~ spl0_9
    | spl0_125 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s141,plain,
    ( spl0_33
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f976]) ).

cnf(s142,plain,
    ( spl0_33
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f981]) ).

cnf(s143,plain,
    ( spl0_33
    | spl0_128 ),
    inference(sat_conversion,[],[f986]) ).

cnf(s145,plain,
    ( spl0_60
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s146,plain,
    ( spl0_60
    | spl0_130 ),
    inference(sat_conversion,[],[f997]) ).

cnf(s147,plain,
    ( spl0_60
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s149,plain,
    ( ~ spl0_25
    | spl0_132 ),
    inference(sat_conversion,[],[f1008]) ).

cnf(s150,plain,
    ( ~ spl0_25
    | spl0_133 ),
    inference(sat_conversion,[],[f1013]) ).

cnf(s151,plain,
    ( ~ spl0_25
    | spl0_134 ),
    inference(sat_conversion,[],[f1018]) ).

cnf(s153,plain,
    ( spl0_46
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f1024]) ).

cnf(s155,plain,
    ( spl0_46
    | spl0_137 ),
    inference(sat_conversion,[],[f1034]) ).

cnf(s161,plain,
    ( ~ spl0_7
    | spl0_141 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s162,plain,
    ( ~ spl0_7
    | spl0_142 ),
    inference(sat_conversion,[],[f1061]) ).

cnf(s163,plain,
    ( ~ spl0_7
    | spl0_143 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s165,plain,
    ( ~ spl0_1
    | spl0_144 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s166,plain,
    ( ~ spl0_1
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1077]) ).

cnf(s167,plain,
    ( ~ spl0_1
    | spl0_146 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s168,plain,
    ( ~ spl0_1
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f1083]) ).

cnf(s169,plain,
    ( ~ spl0_28
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s171,plain,
    ( ~ spl0_28
    | spl0_149 ),
    inference(sat_conversion,[],[f1098]) ).

cnf(s173,plain,
    ( ~ spl0_14
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1104]) ).

cnf(s174,plain,
    ( ~ spl0_14
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1109]) ).

cnf(s175,plain,
    ( ~ spl0_14
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s177,plain,
    ( spl0_15
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1120]) ).

cnf(s178,plain,
    ( spl0_15
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s179,plain,
    ( spl0_15
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1130]) ).

cnf(s185,plain,
    ( ~ spl0_2
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1152]) ).

cnf(s186,plain,
    ( ~ spl0_2
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f1157]) ).

cnf(s187,plain,
    ( ~ spl0_2
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s188,plain,
    ( ~ spl0_2
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s209,plain,
    ( ~ spl0_26
    | ~ spl0_106
    | ~ spl0_107
    | spl0_179 ),
    inference(sat_conversion,[],[f1354]) ).

cnf(s210,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_107
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1357]) ).

cnf(s215,plain,
    ( ~ spl0_37
    | ~ spl0_105
    | ~ spl0_107
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f1486]) ).

cnf(s257,plain,
    ( ~ spl0_37
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1749]) ).

cnf(s260,plain,
    ( ~ spl0_47
    | spl0_129
    | ~ spl0_130
    | spl0_167 ),
    inference(sat_conversion,[],[f1772]) ).

cnf(s262,plain,
    ( ~ spl0_17
    | spl0_29
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s269,plain,
    ( ~ spl0_18
    | ~ spl0_29
    | spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f1829]) ).

cnf(s271,plain,
    ( ~ spl0_49
    | spl0_93
    | ~ spl0_94
    | spl0_95 ),
    inference(sat_conversion,[],[f1849]) ).

cnf(s274,plain,
    ( ~ spl0_49
    | ~ spl0_118
    | spl0_119
    | spl0_175 ),
    inference(sat_conversion,[],[f1852]) ).

cnf(s300,plain,
    ( ~ spl0_20
    | ~ spl0_23
    | ~ spl0_149
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1913]) ).

cnf(s319,plain,
    ( ~ spl0_56
    | spl0_108
    | spl0_109
    | spl0_182 ),
    inference(sat_conversion,[],[f1997]) ).

cnf(s326,plain,
    ( ~ spl0_56
    | spl0_159
    | spl0_160
    | spl0_161 ),
    inference(sat_conversion,[],[f2004]) ).

cnf(s328,plain,
    ( ~ spl0_53
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2006]) ).

cnf(s334,plain,
    ( ~ spl0_32
    | spl0_123
    | ~ spl0_125
    | spl0_166 ),
    inference(sat_conversion,[],[f2037]) ).

cnf(s341,plain,
    ( ~ spl0_59
    | ~ spl0_121
    | ~ spl0_122
    | spl0_178 ),
    inference(sat_conversion,[],[f2074]) ).

cnf(s351,plain,
    ( ~ spl0_29
    | spl0_102
    | spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f2084]) ).

cnf(s358,plain,
    ( ~ spl0_44
    | spl0_150
    | spl0_151
    | spl0_152 ),
    inference(sat_conversion,[],[f2106]) ).

cnf(s362,plain,
    ( ~ spl0_64
    | spl0_85
    | ~ spl0_86
    | spl0_172 ),
    inference(sat_conversion,[],[f2180]) ).

cnf(s405,plain,
    ( ~ spl0_20
    | spl0_90
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f2218]) ).

cnf(s407,plain,
    ( ~ spl0_34
    | ~ spl0_105
    | ~ spl0_106
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2220]) ).

cnf(s411,plain,
    ( ~ spl0_42
    | ~ spl0_105
    | ~ spl0_106
    | spl0_179 ),
    inference(sat_conversion,[],[f2224]) ).

cnf(s415,plain,
    ( ~ spl0_42
    | spl0_120
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f2228]) ).

cnf(s417,plain,
    ( ~ spl0_47
    | spl0_84
    | spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f2230]) ).

cnf(s422,plain,
    ( ~ spl0_53
    | ~ spl0_59
    | spl0_61 ),
    inference(sat_conversion,[],[f2235]) ).

cnf(s437,plain,
    ( ~ spl0_37
    | ~ spl0_76
    | ~ spl0_77
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2250]) ).

cnf(s443,plain,
    ( spl0_18
    | ~ spl0_21
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f2256]) ).

cnf(s445,plain,
    ( ~ spl0_21
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2258]) ).

cnf(s451,plain,
    ( ~ spl0_23
    | ~ spl0_133
    | ~ spl0_134
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2263]) ).

cnf(s459,plain,
    ( ~ spl0_53
    | spl0_129
    | spl0_131
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f2271]) ).

cnf(s465,plain,
    ( ~ spl0_29
    | spl0_70
    | ~ spl0_71
    | spl0_163 ),
    inference(sat_conversion,[],[f2277]) ).

cnf(s466,plain,
    ( ~ spl0_29
    | spl0_117
    | spl0_119
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2278]) ).

cnf(s474,plain,
    ( ~ spl0_18
    | ~ spl0_91
    | ~ spl0_92
    | spl0_181 ),
    inference(sat_conversion,[],[f2286]) ).

cnf(s477,plain,
    ( ~ spl0_19
    | spl0_96
    | ~ spl0_97
    | spl0_98 ),
    inference(sat_conversion,[],[f2289]) ).

cnf(s486,plain,
    ( ~ spl0_24
    | spl0_117
    | ~ spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f2298]) ).

cnf(s489,plain,
    ( ~ spl0_37
    | ~ spl0_132
    | ~ spl0_134
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2301]) ).

cnf(s511,plain,
    ( ~ spl0_37
    | ~ spl0_91
    | ~ spl0_92
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2323]) ).

cnf(s512,plain,
    ( ~ spl0_55
    | spl0_96
    | spl0_98
    | spl0_173 ),
    inference(sat_conversion,[],[f2324]) ).

cnf(s515,plain,
    ( ~ spl0_61
    | ~ spl0_144
    | spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2327]) ).

cnf(s517,plain,
    ( ~ spl0_61
    | ~ spl0_132
    | ~ spl0_134
    | spl0_176 ),
    inference(sat_conversion,[],[f2329]) ).

cnf(s531,plain,
    ( ~ spl0_64
    | spl0_108
    | spl0_109
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2341]) ).

cnf(s540,plain,
    ( ~ spl0_48
    | spl0_81
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f2349]) ).

cnf(s542,plain,
    ( ~ spl0_48
    | ~ spl0_133
    | ~ spl0_134
    | spl0_176 ),
    inference(sat_conversion,[],[f2351]) ).

cnf(s558,plain,
    ( ~ spl0_58
    | spl0_84
    | spl0_85
    | spl0_172 ),
    inference(sat_conversion,[],[f2367]) ).

cnf(s561,plain,
    ( ~ spl0_64
    | spl0_154
    | spl0_155
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f2370]) ).

cnf(s563,plain,
    ( ~ spl0_21
    | spl0_90
    | ~ spl0_92
    | spl0_181 ),
    inference(sat_conversion,[],[f2372]) ).

cnf(s565,plain,
    ( ~ spl0_40
    | spl0_90
    | ~ spl0_91
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2390]) ).

cnf(s572,plain,
    ( ~ spl0_17
    | ~ spl0_21
    | ~ spl0_77
    | spl0_162 ),
    inference(sat_conversion,[],[f2413]) ).

cnf(s573,plain,
    ( ~ spl0_17
    | ~ spl0_21
    | spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f2414]) ).

cnf(s574,plain,
    ( ~ spl0_20
    | spl0_123
    | ~ spl0_125
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2415]) ).

cnf(s577,plain,
    ( ~ spl0_57
    | ~ spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2451]) ).

cnf(s578,plain,
    ( ~ spl0_57
    | ~ spl0_121
    | ~ spl0_122
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2452]) ).

cnf(s582,plain,
    ( ~ spl0_20
    | spl0_37
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f2456]) ).

cnf(s584,plain,
    ( ~ spl0_18
    | ~ spl0_66
    | spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f2458]) ).

cnf(s585,plain,
    ( ~ spl0_18
    | ~ spl0_76
    | ~ spl0_77
    | spl0_162 ),
    inference(sat_conversion,[],[f2459]) ).

cnf(s586,plain,
    ( ~ spl0_18
    | ~ spl0_97
    | spl0_98
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2460]) ).

cnf(s588,plain,
    ( ~ spl0_18
    | spl0_70
    | ~ spl0_71
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2462]) ).

cnf(s591,plain,
    ( ~ spl0_21
    | spl0_96
    | spl0_98
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2465]) ).

cnf(s594,plain,
    ( ~ spl0_32
    | spl0_147
    | ~ spl0_149
    | spl0_168 ),
    inference(sat_conversion,[],[f2468]) ).

cnf(s595,plain,
    ( ~ spl0_32
    | spl0_84
    | spl0_85
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f2469]) ).

cnf(s596,plain,
    ( ~ spl0_34
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f2470]) ).

cnf(s602,plain,
    ( ~ spl0_45
    | ~ spl0_105
    | ~ spl0_107
    | spl0_179 ),
    inference(sat_conversion,[],[f2476]) ).

cnf(s611,plain,
    ( ~ spl0_51
    | ~ spl0_97
    | spl0_98
    | spl0_173 ),
    inference(sat_conversion,[],[f2485]) ).

cnf(s612,plain,
    ( ~ spl0_51
    | spl0_87
    | ~ spl0_88
    | spl0_89 ),
    inference(sat_conversion,[],[f2486]) ).

cnf(s621,plain,
    ( ~ spl0_53
    | spl0_96
    | ~ spl0_97
    | spl0_173 ),
    inference(sat_conversion,[],[f2492]) ).

cnf(s625,plain,
    ( ~ spl0_44
    | spl0_153
    | spl0_154
    | spl0_184 ),
    inference(sat_conversion,[],[f2496]) ).

cnf(s631,plain,
    ( ~ spl0_23
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f2582]) ).

cnf(s635,plain,
    ( ~ spl0_21
    | ~ spl0_26
    | spl0_29 ),
    inference(sat_conversion,[],[f2587]) ).

cnf(s638,plain,
    ( ~ spl0_26
    | ~ spl0_32
    | spl0_135
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2590]) ).

cnf(s645,plain,
    ( spl0_10
    | ~ spl0_18 ),
    inference(rat,[],[s584,s61,s62,s63]) ).

cnf(s646,plain,
    ( ~ spl0_8
    | ~ spl0_37
    | ~ spl0_18 ),
    inference(rat,[],[s437,s585,s74,s75]) ).

cnf(s647,plain,
    ( ~ spl0_7
    | ~ spl0_37 ),
    inference(rat,[],[s257,s161,s162,s163]) ).

cnf(s648,plain,
    ( ~ spl0_6
    | ~ spl0_57 ),
    inference(rat,[],[s577,s113,s114,s115]) ).

cnf(s649,plain,
    ( ~ spl0_9
    | ~ spl0_21 ),
    inference(rat,[],[s445,s137,s138,s139]) ).

cnf(s650,plain,
    ( spl0_33
    | ~ spl0_53 ),
    inference(rat,[],[s328,s141,s142,s143]) ).

cnf(s651,plain,
    ( ~ spl0_37
    | ~ spl0_18
    | spl0_6 ),
    inference(rat,[],[s3,s647,s646]) ).

cnf(s652,plain,
    ( ~ spl0_8
    | ~ spl0_23 ),
    inference(rat,[],[s631,s73,s74,s75]) ).

cnf(s653,plain,
    ( ~ spl0_25
    | ~ spl0_23
    | spl0_1 ),
    inference(rat,[],[s51,s517,s596,s451,s149,s150,s151,s188,s1]) ).

cnf(s654,plain,
    ( ~ spl0_18
    | spl0_1 ),
    inference(rat,[],[s465,s588,s66,s67,s34,s274,s466,s635,s12,s653,s652,s46,s341,s578,s134,s135,s4,s649,s129,s130,s131,s10,s20,s582,s651,s645,s650,s38,s648,s43,s326,s185,s186,s187,s188,s1]) ).

cnf(s655,plain,
    ( spl0_56
    | spl0_12
    | spl0_1 ),
    inference(rat,[],[s30,s260,s459,s653,s443,s145,s146,s147,s46,s47,s341,s578,s134,s135,s8,s654,s650,s38,s648,s43]) ).

cnf(s656,plain,
    spl0_1,
    inference(rat,[],[s655,s326,s185,s186,s187,s188,s1]) ).

cnf(s657,plain,
    ~ spl0_12,
    inference(rat,[],[s168,s656]) ).

cnf(s658,plain,
    spl0_146,
    inference(rat,[],[s167,s656]) ).

cnf(s659,plain,
    ~ spl0_145,
    inference(rat,[],[s166,s656]) ).

cnf(s660,plain,
    spl0_144,
    inference(rat,[],[s165,s656]) ).

cnf(s661,plain,
    ~ spl0_61,
    inference(rat,[],[s515,s658,s659,s660]) ).

cnf(s662,plain,
    ( ~ spl0_36
    | ~ spl0_18
    | ~ spl0_53 ),
    inference(rat,[],[s621,s586,s101,s102,s103]) ).

cnf(s663,plain,
    ( ~ spl0_25
    | ~ spl0_34 ),
    inference(rat,[],[s596,s149,s150,s151]) ).

cnf(s666,plain,
    ( spl0_6
    | ~ spl0_18 ),
    inference(rat,[],[s465,s588,s66,s67,s34,s274,s466,s50,s638,s153,s155,s48,s12,s663,s652,s129,s130,s131,s18,s46,s20,s662,s422,s650,s651,s38,s657,s661]) ).

cnf(s667,plain,
    ( ~ spl0_34
    | spl0_8
    | ~ spl0_6 ),
    inference(rat,[],[s209,s12,s407,s663,s115,s114,s113,s657]) ).

cnf(s668,plain,
    ( ~ spl0_23
    | ~ spl0_25
    | ~ spl0_36
    | ~ spl0_18 ),
    inference(rat,[],[s269,s110,s111,s32,s50,s542,s594,s451,s300,s9,s477,s645,s171,s169,s53,s512,s586,s102,s101,s103,s151,s150,s657,s661]) ).

cnf(s670,plain,
    ( ~ spl0_9
    | ~ spl0_32
    | ~ spl0_20 ),
    inference(rat,[],[s574,s334,s137,s139]) ).

cnf(s671,plain,
    ( ~ spl0_43
    | ~ spl0_20 ),
    inference(rat,[],[s405,s93,s94,s95]) ).

cnf(s672,plain,
    ( spl0_29
    | spl0_23
    | ~ spl0_20
    | spl0_53
    | ~ spl0_10 ),
    inference(rat,[],[s358,s173,s174,s175,s54,s26,s319,s415,s531,s133,s134,s135,s117,s118,s4,s39,s57,s670,s262,s50,s671,s657,s661]) ).

cnf(s673,plain,
    ( ~ spl0_16
    | ~ spl0_29
    | ~ spl0_18 ),
    inference(rat,[],[s269,s110,s111]) ).

cnf(s674,plain,
    ( ~ spl0_25
    | ~ spl0_36
    | ~ spl0_18 ),
    inference(rat,[],[s540,s81,s82,s83,s11,s486,s129,s130,s131,s20,s489,s542,s32,s673,s672,s668,s149,s150,s151,s662,s9,s477,s101,s102,s103,s645,s657]) ).

cnf(s675,plain,
    ( spl0_8
    | ~ spl0_18 ),
    inference(rat,[],[s540,s81,s82,s83,s11,s486,s32,s129,s130,s131,s673,s20,s672,s215,s210,s209,s12,s674,s9,s477,s662,s101,s102,s103,s18,s667,s645,s115,s114,s113,s666,s657]) ).

cnf(s676,plain,
    ( ~ spl0_25
    | ~ spl0_18 ),
    inference(rat,[],[s18,s674,s663,s657]) ).

cnf(s677,plain,
    ( ~ spl0_36
    | ~ spl0_18 ),
    inference(rat,[],[s9,s672,s477,s662,s101,s102,s103,s645,s673,s32,s540,s81,s82,s83,s11,s486,s129,s130,s131,s20,s646,s652,s675,s657]) ).

cnf(s680,plain,
    ( spl0_11
    | ~ spl0_51 ),
    inference(rat,[],[s612,s89,s90,s91]) ).

cnf(s681,plain,
    ~ spl0_18,
    inference(rat,[],[s595,s362,s85,s86,s87,s24,s680,s36,s565,s474,s93,s94,s95,s26,s625,s561,s177,s178,s179,s33,s271,s97,s98,s99,s27,s411,s602,s407,s18,s677,s676,s57,s262,s50,s673,s32,s540,s81,s82,s83,s11,s486,s129,s130,s131,s20,s652,s646,s675,s113,s114,s115,s666,s657,s661]) ).

cnf(s682,plain,
    spl0_51,
    inference(rat,[],[s52,s661,s657,s681]) ).

cnf(s683,plain,
    spl0_11,
    inference(rat,[],[s680,s682]) ).

cnf(s684,plain,
    ( spl0_29
    | spl0_38
    | spl0_23 ),
    inference(rat,[],[s362,s57,s595,s262,s50,s87,s86,s85,s657,s661]) ).

cnf(s685,plain,
    ( ~ spl0_17
    | ~ spl0_21
    | ~ spl0_76
    | ~ spl0_77
    | spl0_23 ),
    inference(rat,[],[s573,s110,s111,s32,s540,s81,s82,s83,s11,s486,s129,s130,s131,s20,s437,s572,s657]) ).

cnf(s686,plain,
    ( ~ spl0_6
    | spl0_23
    | spl0_36
    | spl0_25 ),
    inference(rat,[],[s351,s109,s110,s111,s32,s540,s81,s82,s83,s11,s486,s129,s130,s131,s20,s511,s563,s93,s94,s95,s26,s625,s561,s57,s685,s684,s177,s178,s179,s30,s33,s417,s271,s85,s86,s87,s97,s98,s99,s24,s27,s411,s602,s74,s75,s407,s667,s113,s114,s115,s18,s657,s683]) ).

cnf(s687,plain,
    ( spl0_23
    | spl0_36
    | spl0_25 ),
    inference(rat,[],[s46,s422,s650,s38,s686,s661,s657]) ).

cnf(s688,plain,
    ( spl0_36
    | spl0_25 ),
    inference(rat,[],[s260,s459,s145,s146,s147,s47,s422,s38,s30,s667,s443,s652,s687,s18,s657,s681,s661]) ).

cnf(s689,plain,
    ( spl0_38
    | ~ spl0_47 ),
    inference(rat,[],[s417,s85,s86,s87]) ).

cnf(s690,plain,
    ( ~ spl0_6
    | ~ spl0_38 ),
    inference(rat,[],[s215,s411,s113,s114,s115,s24,s21,s681,s657,s683]) ).

cnf(s691,plain,
    ~ spl0_38,
    inference(rat,[],[s652,s46,s422,s650,s3,s38,s690,s647,s21,s657,s661,s681]) ).

cnf(s692,plain,
    spl0_86,
    inference(rat,[],[s87,s691]) ).

cnf(s693,plain,
    ~ spl0_85,
    inference(rat,[],[s86,s691]) ).

cnf(s694,plain,
    ~ spl0_84,
    inference(rat,[],[s85,s691]) ).

cnf(s695,plain,
    ~ spl0_47,
    inference(rat,[],[s689,s691]) ).

cnf(s696,plain,
    spl0_25,
    inference(rat,[],[s611,s591,s101,s102,s103,s30,s688,s682,s657,s695]) ).

cnf(s697,plain,
    spl0_134,
    inference(rat,[],[s151,s696]) ).

cnf(s698,plain,
    spl0_133,
    inference(rat,[],[s150,s696]) ).

cnf(s699,plain,
    spl0_132,
    inference(rat,[],[s149,s696]) ).

cnf(s700,plain,
    ~ spl0_34,
    inference(rat,[],[s663,s696]) ).

cnf(s713,plain,
    ( ~ spl0_16
    | ~ spl0_29 ),
    inference(rat,[],[s351,s109,s110,s111]) ).

cnf(s714,plain,
    spl0_23,
    inference(rat,[],[s540,s81,s82,s83,s11,s486,s129,s130,s131,s20,s489,s542,s32,s713,s684,s657,s697,s699,s698,s691]) ).

cnf(s716,plain,
    ~ spl0_176,
    inference(rat,[],[s451,s697,s698,s714]) ).

cnf(s717,plain,
    ~ spl0_48,
    inference(rat,[],[s542,s698,s697,s716]) ).

cnf(s719,plain,
    spl0_16,
    inference(rat,[],[s32,s657,s717]) ).

cnf(s725,plain,
    ~ spl0_29,
    inference(rat,[],[s713,s719]) ).

cnf(s732,plain,
    spl0_32,
    inference(rat,[],[s50,s661,s657,s725]) ).

cnf(s736,plain,
    ~ spl0_172,
    inference(rat,[],[s595,s694,s693,s732]) ).

cnf(s737,plain,
    ~ spl0_64,
    inference(rat,[],[s362,s693,s692,s736]) ).

cnf(s738,plain,
    ~ spl0_58,
    inference(rat,[],[s558,s694,s693,s736]) ).

cnf(s740,plain,
    $false,
    inference(rat,[],[s60,s700,s657,s737,s738]) ).

fof(f2597,plain,
    $false,
    inference(avatar_sat_refutation,[],[s740]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN458+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  % Computer : n009.cluster.edu
% 0.08/0.23  % Model    : x86_64 x86_64
% 0.08/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23  % Memory   : 8046.5625MB
% 0.08/0.23  % OS       : Linux 6.8.0-71-generic
% 0.08/0.23  % CPULimit : 300
% 0.08/0.23  % WCLimit  : 300
% 0.08/0.23  % DateTime : Mon Sep 28 16:06:30 UTC 2026
% 0.08/0.23  % CPUTime  : 
% 0.08/0.23  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.27  Running first-order model finding
% 0.08/0.27  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.37  % (3191277)Will run a generic schedule for satisfiability detection.
% 0.24/0.37  % (3191283)% WARNING: option uhcvi not known.
% 0.24/0.37  % (3191284)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2472926600:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.37  % (3191283)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=957968519:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.37  % (3191282)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=74787108_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.37  % (3191285)dis+10_1_sil=32000:sp=arity:random_seed=3221700736:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.37  % (3191287)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2784509230:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.37  % (3191286)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3305329748:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.37  % Detected minimum model sizes of [1]
% 0.24/0.37  % Detected maximum model sizes of [32]
% 0.24/0.37  % TRYING [1]
% 0.24/0.37  % TRYING [2]
% 0.24/0.37  % TRYING [3]
% 0.24/0.37  % TRYING [4]
% 0.24/0.37  % (3191288)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=570469211:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.37  % (3191288) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3191277-3191288"...
% 0.24/0.37  % TRYING [5]
% 0.24/0.37  % (3191288)...printing done.
% 0.24/0.37  % (3191288)Refutation found. Thanks to Tanya!
% 0.24/0.37  % SZS status Theorem for theBenchmark
% 0.24/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.38  % (3191288)------------------------------
% 0.24/0.38  % (3191288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.38  % (3191288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.38  % (3191288)CaDiCaL version: 2.1.3
% 0.24/0.38  % (3191288)Termination reason: Refutation
% 0.24/0.38  % (3191288)Time elapsed: 0.023 s
% 0.24/0.38  % (3191288)Peak memory usage: 13 MB
% 0.24/0.38  % (3191288)Instructions burned: 61 (million)
% 0.24/0.38  % (3191277)Success in time 0.093 s
% 0.24/0.38  % Vampire exiting
%------------------------------------------------------------------------------