↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN458+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:52:27 PM UTC 2026

% Result   : Theorem 0.65s 1.00s
% Output   : Refutation 2.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :  159
% Syntax   : Number of formulae    :  933 (  38 unt; 158 def)
%            Number of atoms       : 5904 (   0 equ)
%            Maximal formula atoms :  596 (   6 avg)
%            Number of connectives : 7787 (2816   ~;3617   |; 935   &)
%                                         ( 158 <=>; 261  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   98 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  196 ( 195 usr; 192 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  615 (   0 sgn 615   !;   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/sandbox/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(f7,plain,
    ( hskp20
    | hskp27
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f12,plain,
    ! [X84] :
      ( ~ c0_1(X84)
      | ~ c1_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | hskp19
      | hskp2 ),
    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(f27,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c3_1(X64)
      | ~ c2_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | ~ c0_1(X65)
      | ~ c2_1(X65)
      | ~ ndr1_0
      | hskp17 ),
    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(f30,plain,
    ! [X60,X61] :
      ( c1_1(X60)
      | c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c2_1(X61)
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | ~ ndr1_0
      | hskp1 ),
    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(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(f45,plain,
    ! [X40,X39] :
      ( c0_1(X39)
      | c3_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X37] :
      ( c0_1(X37)
      | c2_1(X37)
      | ~ c1_1(X37)
      | ~ ndr1_0
      | hskp14
      | hskp15 ),
    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(f54,plain,
    ! [X27] :
      ( c0_1(X27)
      | c1_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0
      | hskp6
      | hskp7 ),
    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(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(f60,plain,
    ! [X14,X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | c2_1(X13)
      | c3_1(X13)
      | ~ c1_1(X13)
      | ~ ndr1_0
      | c2_1(X14)
      | ~ c1_1(X14)
      | ~ c3_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X11] :
      ( c0_1(X11)
      | c1_1(X11)
      | c2_1(X11)
      | ~ ndr1_0
      | hskp1
      | hskp2 ),
    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(f64,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c2_1(X4)
      | ~ c3_1(X4)
      | ~ ndr1_0
      | c3_1(X5)
      | ~ c0_1(X5)
      | ~ c1_1(X5)
      | ~ 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(f70,plain,
    ( ~ hskp30
    | c3_1(a1109) ),
    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(f74,plain,
    ( ~ hskp29
    | c3_1(a1101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp29
    | c2_1(a1101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp29
    | c1_1(a1101) ),
    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(f82,plain,
    ( ~ hskp27
    | ~ c3_1(a1164) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp27
    | ~ c2_1(a1164) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp27
    | c0_1(a1164) ),
    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(f110,plain,
    ( ~ hskp20
    | ~ c2_1(a1114) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp20
    | ~ c1_1(a1114) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp20
    | c0_1(a1114) ),
    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(f124,plain,
    ( ~ hskp17
    | c3_1(a1102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp15
    | ~ c3_1(a1098) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp15
    | c2_1(a1098) ),
    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(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(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(f162,plain,
    ( ~ hskp7
    | ~ c2_1(a1087) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ hskp7
    | ~ c1_1(a1087) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ hskp7
    | ~ c0_1(a1087) ),
    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(f175,plain,
    ( ~ hskp4
    | ~ c1_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(f186,plain,
    ( ~ hskp1
    | ~ c1_1(a1081) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp1
    | ~ c0_1(a1081) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp1
    | c3_1(a1081) ),
    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,
    ! [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,[],[f14]) ).

fof(f195,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,[],[f15]) ).

fof(f196,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,[],[f16]) ).

fof(f197,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,[],[f26]) ).

fof(f198,plain,
    ! [X65,X64] :
      ( c1_1(X64)
      | c3_1(X64)
      | ~ c2_1(X64)
      | ~ ndr1_0
      | c1_1(X65)
      | ~ c0_1(X65)
      | ~ c2_1(X65)
      | hskp17 ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f199,plain,
    ! [X60,X61] :
      ( c1_1(X60)
      | c2_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | c2_1(X61)
      | ~ c0_1(X61)
      | ~ c1_1(X61)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f30]) ).

fof(f200,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,[],[f31]) ).

fof(f203,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,[],[f41]) ).

fof(f204,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,[],[f44]) ).

fof(f205,plain,
    ! [X40,X39] :
      ( c0_1(X39)
      | c3_1(X39)
      | ~ c1_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | hskp29 ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f206,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,[],[f48]) ).

fof(f207,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,[],[f51]) ).

fof(f209,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,[],[f55]) ).

fof(f211,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,[],[f57]) ).

fof(f212,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,[],[f58]) ).

fof(f213,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,[],[f59]) ).

fof(f214,plain,
    ! [X14,X12,X13] :
      ( c0_1(X12)
      | c1_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | c2_1(X13)
      | c3_1(X13)
      | ~ c1_1(X13)
      | c2_1(X14)
      | ~ c1_1(X14)
      | ~ c3_1(X14) ),
    inference(duplicate_literal_removal,[],[f60]) ).

fof(f215,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,[],[f62]) ).

fof(f217,plain,
    ! [X3,X4,X5] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c0_1(X4)
      | c2_1(X4)
      | ~ c3_1(X4)
      | c3_1(X5)
      | ~ c0_1(X5)
      | ~ c1_1(X5) ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f218,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,[],[f65]) ).

fof(f220,definition,
    ( spl0_1
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f223,definition,
    ( spl0_2
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f225,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f223,f220]) ).

fof(f227,definition,
    ( spl0_3
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f230,definition,
    ( spl0_4
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f233,definition,
    ( spl0_5
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f235,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f233,f230,f227]) ).

fof(f237,definition,
    ( spl0_6
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f240,definition,
    ( spl0_7
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f243,definition,
    ( spl0_8
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f245,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f8,f243,f240,f237]) ).

fof(f250,definition,
    ( spl0_10
  <=> hskp31 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f254,definition,
    ( spl0_11
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f257,definition,
    ( spl0_12
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f264,definition,
    ( spl0_14
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f268,definition,
    ( spl0_15
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f271,definition,
    ( spl0_16
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f274,definition,
    ( spl0_17
  <=> ! [X84] :
        ( ~ c0_1(X84)
        | ~ c3_1(X84)
        | ~ c1_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f275,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | ~ c0_1(X84)
        | ~ c1_1(X84) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f276,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_12
    | spl0_17 ),
    inference(avatar_split_clause,[],[f12,f274,f257,f271,f268]) ).

fof(f278,definition,
    ( spl0_18
  <=> ! [X83] :
        ( ~ c0_1(X83)
        | ~ c2_1(X83)
        | ~ c1_1(X83) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f279,plain,
    ( ! [X83] :
        ( ~ c0_1(X83)
        | ~ c2_1(X83)
        | ~ c1_1(X83) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f280,plain,
    ( spl0_3
    | spl0_1
    | ~ spl0_12
    | spl0_18 ),
    inference(avatar_split_clause,[],[f13,f278,f257,f220,f227]) ).

fof(f282,definition,
    ( spl0_19
  <=> ! [X82] :
        ( c3_1(X82)
        | ~ c2_1(X82)
        | ~ c1_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f283,plain,
    ( ! [X82] :
        ( c3_1(X82)
        | ~ c2_1(X82)
        | ~ c1_1(X82) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f285,definition,
    ( spl0_20
  <=> ! [X81] :
        ( c3_1(X81)
        | ~ c2_1(X81)
        | ~ c0_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f286,plain,
    ( ! [X81] :
        ( c3_1(X81)
        | ~ c2_1(X81)
        | ~ c0_1(X81) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f287,plain,
    ( spl0_10
    | spl0_19
    | ~ spl0_12
    | spl0_20 ),
    inference(avatar_split_clause,[],[f194,f285,f257,f282,f250]) ).

fof(f289,definition,
    ( spl0_21
  <=> ! [X79] :
        ( c3_1(X79)
        | ~ c1_1(X79)
        | ~ c0_1(X79) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f290,plain,
    ( ! [X79] :
        ( c3_1(X79)
        | ~ c1_1(X79)
        | ~ c0_1(X79) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f291,plain,
    ( spl0_1
    | spl0_20
    | ~ spl0_12
    | spl0_21 ),
    inference(avatar_split_clause,[],[f195,f289,f257,f285,f220]) ).

fof(f293,definition,
    ( spl0_22
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f296,definition,
    ( spl0_23
  <=> ! [X78] :
        ( ~ c0_1(X78)
        | ~ c3_1(X78)
        | ~ c2_1(X78) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f297,plain,
    ( ! [X78] :
        ( ~ c3_1(X78)
        | ~ c0_1(X78)
        | ~ c2_1(X78) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f299,definition,
    ( spl0_24
  <=> ! [X77] :
        ( c2_1(X77)
        | ~ c3_1(X77)
        | ~ c1_1(X77) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f300,plain,
    ( ! [X77] :
        ( ~ c3_1(X77)
        | c2_1(X77)
        | ~ c1_1(X77) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f301,plain,
    ( spl0_22
    | spl0_23
    | ~ spl0_12
    | spl0_24 ),
    inference(avatar_split_clause,[],[f196,f299,f257,f296,f293]) ).

fof(f303,definition,
    ( spl0_25
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f306,definition,
    ( spl0_26
  <=> ! [X76] :
        ( c2_1(X76)
        | ~ c3_1(X76)
        | ~ c0_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f307,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | c2_1(X76)
        | ~ c0_1(X76) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f308,plain,
    ( spl0_25
    | spl0_8
    | ~ spl0_12
    | spl0_26 ),
    inference(avatar_split_clause,[],[f17,f306,f257,f243,f303]) ).

fof(f310,definition,
    ( spl0_27
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f313,definition,
    ( spl0_28
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f316,definition,
    ( spl0_29
  <=> ! [X75] :
        ( c2_1(X75)
        | ~ c1_1(X75)
        | ~ c0_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f317,plain,
    ( ! [X75] :
        ( ~ c0_1(X75)
        | ~ c1_1(X75)
        | c2_1(X75) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f320,definition,
    ( spl0_30
  <=> hskp30 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f324,definition,
    ( spl0_31
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f327,definition,
    ( spl0_32
  <=> ! [X73] :
        ( c2_1(X73)
        | ~ c0_1(X73)
        | c3_1(X73) ) ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f328,plain,
    ( ! [X73] :
        ( c3_1(X73)
        | ~ c0_1(X73)
        | c2_1(X73) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f331,definition,
    ( spl0_33
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f334,definition,
    ( spl0_34
  <=> ! [X72] :
        ( c1_1(X72)
        | ~ c3_1(X72)
        | ~ c2_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f335,plain,
    ( ! [X72] :
        ( ~ c3_1(X72)
        | c1_1(X72)
        | ~ c2_1(X72) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f334]) ).

fof(f338,definition,
    ( spl0_35
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f342,definition,
    ( spl0_36
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f344,plain,
    ( spl0_36
    | ~ spl0_12
    | spl0_34 ),
    inference(avatar_split_clause,[],[f23,f334,f257,f342]) ).

fof(f346,definition,
    ( spl0_37
  <=> ! [X69] :
        ( c1_1(X69)
        | ~ c2_1(X69)
        | ~ c0_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f347,plain,
    ( ! [X69] :
        ( ~ c0_1(X69)
        | ~ c2_1(X69)
        | c1_1(X69) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f349,plain,
    ( spl0_35
    | ~ spl0_12
    | spl0_37 ),
    inference(avatar_split_clause,[],[f25,f346,f257,f338]) ).

fof(f351,definition,
    ( spl0_38
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f353,plain,
    ( spl0_38
    | spl0_18
    | ~ spl0_12
    | spl0_37 ),
    inference(avatar_split_clause,[],[f197,f346,f257,f278,f351]) ).

fof(f355,definition,
    ( spl0_39
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f358,definition,
    ( spl0_40
  <=> ! [X64] :
        ( c1_1(X64)
        | ~ c2_1(X64)
        | c3_1(X64) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f359,plain,
    ( ! [X64] :
        ( c3_1(X64)
        | ~ c2_1(X64)
        | c1_1(X64) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f360,plain,
    ( spl0_39
    | spl0_37
    | ~ spl0_12
    | spl0_40 ),
    inference(avatar_split_clause,[],[f198,f358,f257,f346,f355]) ).

fof(f366,definition,
    ( spl0_42
  <=> ! [X62] :
        ( c1_1(X62)
        | ~ c3_1(X62)
        | c2_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f367,plain,
    ( ! [X62] :
        ( ~ c3_1(X62)
        | c1_1(X62)
        | c2_1(X62) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f368,plain,
    ( spl0_38
    | spl0_11
    | ~ spl0_12
    | spl0_42 ),
    inference(avatar_split_clause,[],[f29,f366,f257,f254,f351]) ).

fof(f369,plain,
    ( spl0_27
    | spl0_29
    | ~ spl0_12
    | spl0_42 ),
    inference(avatar_split_clause,[],[f199,f366,f257,f316,f310]) ).

fof(f371,definition,
    ( spl0_43
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f374,definition,
    ( spl0_44
  <=> ! [X59] :
        ( c2_1(X59)
        | ~ c1_1(X59)
        | c3_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f375,plain,
    ( ! [X59] :
        ( c3_1(X59)
        | ~ c1_1(X59)
        | c2_1(X59) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f376,plain,
    ( spl0_43
    | spl0_44
    | ~ spl0_12
    | spl0_42 ),
    inference(avatar_split_clause,[],[f200,f366,f257,f374,f371]) ).

fof(f378,definition,
    ( spl0_45
  <=> ! [X57] :
        ( c1_1(X57)
        | ~ c0_1(X57)
        | c2_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X57] :
        ( ~ c0_1(X57)
        | c1_1(X57)
        | c2_1(X57) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f380,plain,
    ( spl0_31
    | spl0_36
    | ~ spl0_12
    | spl0_45 ),
    inference(avatar_split_clause,[],[f32,f378,f257,f342,f324]) ).

fof(f391,definition,
    ( spl0_48
  <=> ! [X51] :
        ( c0_1(X51)
        | ~ c3_1(X51)
        | ~ c2_1(X51) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f392,plain,
    ( ! [X51] :
        ( ~ c3_1(X51)
        | c0_1(X51)
        | ~ c2_1(X51) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f394,plain,
    ( spl0_16
    | ~ spl0_12
    | spl0_48 ),
    inference(avatar_split_clause,[],[f37,f391,f257,f271]) ).

fof(f396,definition,
    ( spl0_49
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c3_1(X49)
        | ~ c1_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f397,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | c0_1(X49)
        | ~ c1_1(X49) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f398,plain,
    ( spl0_15
    | spl0_25
    | ~ spl0_12
    | spl0_49 ),
    inference(avatar_split_clause,[],[f38,f396,f257,f303,f268]) ).

fof(f399,plain,
    ( spl0_6
    | spl0_30
    | ~ spl0_12
    | spl0_49 ),
    inference(avatar_split_clause,[],[f39,f396,f257,f320,f237]) ).

fof(f401,definition,
    ( spl0_50
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f404,definition,
    ( spl0_51
  <=> ! [X47] :
        ( c0_1(X47)
        | ~ c2_1(X47)
        | ~ c1_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f405,plain,
    ( ! [X47] :
        ( c0_1(X47)
        | ~ c2_1(X47)
        | ~ c1_1(X47) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f407,plain,
    ( spl0_25
    | spl0_40
    | ~ spl0_12
    | spl0_51 ),
    inference(avatar_split_clause,[],[f203,f404,f257,f358,f303]) ).

fof(f412,definition,
    ( spl0_53
  <=> ! [X44] :
        ( c0_1(X44)
        | ~ c2_1(X44)
        | c3_1(X44) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f413,plain,
    ( ! [X44] :
        ( c3_1(X44)
        | ~ c2_1(X44)
        | c0_1(X44) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f415,plain,
    ( spl0_6
    | ~ spl0_12
    | spl0_53 ),
    inference(avatar_split_clause,[],[f43,f412,f257,f237]) ).

fof(f416,plain,
    ( spl0_39
    | spl0_17
    | ~ spl0_12
    | spl0_53 ),
    inference(avatar_split_clause,[],[f204,f412,f257,f274,f355]) ).

fof(f418,definition,
    ( spl0_54
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f421,definition,
    ( spl0_55
  <=> ! [X39] :
        ( c0_1(X39)
        | ~ c1_1(X39)
        | c3_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X39] :
        ( c3_1(X39)
        | ~ c1_1(X39)
        | c0_1(X39) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( spl0_54
    | spl0_34
    | ~ spl0_12
    | spl0_55 ),
    inference(avatar_split_clause,[],[f205,f421,f257,f334,f418]) ).

fof(f425,definition,
    ( spl0_56
  <=> ! [X38] :
        ( c0_1(X38)
        | ~ c1_1(X38)
        | c2_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X38] :
        ( c0_1(X38)
        | ~ c1_1(X38)
        | c2_1(X38) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f428,plain,
    ( spl0_50
    | spl0_35
    | ~ spl0_12
    | spl0_56 ),
    inference(avatar_split_clause,[],[f47,f425,f257,f338,f401]) ).

fof(f430,definition,
    ( spl0_57
  <=> ! [X36] :
        ( c1_1(X36)
        | ~ c3_1(X36)
        | ~ c0_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f431,plain,
    ( ! [X36] :
        ( ~ c3_1(X36)
        | c1_1(X36)
        | ~ c0_1(X36) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f432,plain,
    ( spl0_1
    | spl0_57
    | ~ spl0_12
    | spl0_56 ),
    inference(avatar_split_clause,[],[f206,f425,f257,f430,f220]) ).

fof(f434,definition,
    ( spl0_58
  <=> ! [X34] :
        ( c0_1(X34)
        | c3_1(X34)
        | c2_1(X34) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f435,plain,
    ( ! [X34] :
        ( c3_1(X34)
        | c0_1(X34)
        | c2_1(X34) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f434]) ).

fof(f438,definition,
    ( spl0_59
  <=> ! [X33] :
        ( c0_1(X33)
        | ~ c3_1(X33)
        | c1_1(X33) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f439,plain,
    ( ! [X33] :
        ( ~ c3_1(X33)
        | c0_1(X33)
        | c1_1(X33) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f441,plain,
    ( spl0_33
    | spl0_23
    | ~ spl0_12
    | spl0_59 ),
    inference(avatar_split_clause,[],[f207,f438,f257,f296,f331]) ).

fof(f447,definition,
    ( spl0_61
  <=> ! [X28] :
        ( c0_1(X28)
        | ~ c2_1(X28)
        | c1_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f448,plain,
    ( ! [X28] :
        ( c0_1(X28)
        | ~ c2_1(X28)
        | c1_1(X28) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f451,definition,
    ( spl0_62
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f453,plain,
    ( spl0_62
    | spl0_7
    | ~ spl0_12
    | spl0_61 ),
    inference(avatar_split_clause,[],[f54,f447,f257,f240,f451]) ).

fof(f454,plain,
    ( spl0_29
    | spl0_32
    | ~ spl0_12
    | spl0_61 ),
    inference(avatar_split_clause,[],[f209,f447,f257,f327,f316]) ).

fof(f456,plain,
    ( spl0_18
    | spl0_51
    | ~ spl0_12
    | spl0_61 ),
    inference(avatar_split_clause,[],[f211,f447,f257,f404,f278]) ).

fof(f457,plain,
    ( spl0_28
    | spl0_55
    | ~ spl0_12
    | spl0_61 ),
    inference(avatar_split_clause,[],[f212,f447,f257,f421,f313]) ).

fof(f458,plain,
    ( spl0_14
    | spl0_56
    | ~ spl0_12
    | spl0_61 ),
    inference(avatar_split_clause,[],[f213,f447,f257,f425,f264]) ).

fof(f460,definition,
    ( spl0_63
  <=> ! [X12] :
        ( c0_1(X12)
        | c3_1(X12)
        | c1_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f461,plain,
    ( ! [X12] :
        ( c3_1(X12)
        | c0_1(X12)
        | c1_1(X12) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f462,plain,
    ( spl0_24
    | spl0_44
    | ~ spl0_12
    | spl0_63 ),
    inference(avatar_split_clause,[],[f214,f460,f257,f374,f299]) ).

fof(f464,definition,
    ( spl0_64
  <=> ! [X11] :
        ( c0_1(X11)
        | c2_1(X11)
        | c1_1(X11) ) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f465,plain,
    ( ! [X11] :
        ( c0_1(X11)
        | c2_1(X11)
        | c1_1(X11) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f466,plain,
    ( spl0_15
    | spl0_27
    | ~ spl0_12
    | spl0_64 ),
    inference(avatar_split_clause,[],[f61,f464,f257,f310,f268]) ).

fof(f467,plain,
    ( spl0_23
    | spl0_17
    | ~ spl0_12
    | spl0_64 ),
    inference(avatar_split_clause,[],[f215,f464,f257,f274,f296]) ).

fof(f469,definition,
    ( spl0_65
  <=> ! [X7] :
        ( c0_1(X7)
        | ~ c3_1(X7)
        | c2_1(X7) ) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f470,plain,
    ( ! [X7] :
        ( ~ c3_1(X7)
        | c0_1(X7)
        | c2_1(X7) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f472,plain,
    ( spl0_21
    | spl0_65
    | ~ spl0_12
    | spl0_64 ),
    inference(avatar_split_clause,[],[f217,f464,f257,f469,f289]) ).

fof(f473,plain,
    ( spl0_34
    | spl0_58
    | ~ spl0_12
    | spl0_64 ),
    inference(avatar_split_clause,[],[f218,f464,f257,f434,f334]) ).

fof(f475,definition,
    ( spl0_66
  <=> c2_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f478,plain,
    ( spl0_66
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f66,f250,f475]) ).

fof(f480,definition,
    ( spl0_67
  <=> c1_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f482,plain,
    ( spl0_67
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f67,f250,f480]) ).

fof(f484,definition,
    ( spl0_68
  <=> c0_1(a1148) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f485,plain,
    ( c0_1(a1148)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( spl0_68
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f68,f250,f484]) ).

fof(f490,definition,
    ( spl0_69
  <=> c3_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f491,plain,
    ( c3_1(a1109)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f493,plain,
    ( spl0_69
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f70,f320,f490]) ).

fof(f495,definition,
    ( spl0_70
  <=> c1_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f497,plain,
    ( spl0_70
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f71,f320,f495]) ).

fof(f499,definition,
    ( spl0_71
  <=> c0_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f500,plain,
    ( c0_1(a1109)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f501,plain,
    ( spl0_71
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f72,f320,f499]) ).

fof(f504,definition,
    ( spl0_72
  <=> c3_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f505,plain,
    ( c3_1(a1101)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f507,plain,
    ( spl0_72
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f74,f418,f504]) ).

fof(f509,definition,
    ( spl0_73
  <=> c2_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f511,plain,
    ( spl0_73
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f75,f418,f509]) ).

fof(f513,definition,
    ( spl0_74
  <=> c1_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f515,plain,
    ( spl0_74
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f76,f418,f513]) ).

fof(f518,definition,
    ( spl0_75
  <=> c3_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f519,plain,
    ( c3_1(a1092)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f521,plain,
    ( spl0_75
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f78,f243,f518]) ).

fof(f523,definition,
    ( spl0_76
  <=> c2_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f525,plain,
    ( spl0_76
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f79,f243,f523]) ).

fof(f527,definition,
    ( spl0_77
  <=> c0_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).

fof(f528,plain,
    ( c0_1(a1092)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f529,plain,
    ( spl0_77
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f80,f243,f527]) ).

fof(f532,definition,
    ( spl0_78
  <=> c3_1(a1164) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f533,plain,
    ( ~ c3_1(a1164)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f535,plain,
    ( ~ spl0_78
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f82,f230,f532]) ).

fof(f537,definition,
    ( spl0_79
  <=> c2_1(a1164) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f539,plain,
    ( ~ spl0_79
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f83,f230,f537]) ).

fof(f541,definition,
    ( spl0_80
  <=> c0_1(a1164) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f542,plain,
    ( c0_1(a1164)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f543,plain,
    ( spl0_80
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f84,f230,f541]) ).

fof(f546,definition,
    ( spl0_81
  <=> c0_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f547,plain,
    ( ~ c0_1(a1146)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f549,plain,
    ( ~ spl0_81
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f86,f293,f546]) ).

fof(f551,definition,
    ( spl0_82
  <=> c3_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f552,plain,
    ( c3_1(a1146)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f553,plain,
    ( spl0_82
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f87,f293,f551]) ).

fof(f555,definition,
    ( spl0_83
  <=> c2_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f557,plain,
    ( spl0_83
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f88,f293,f555]) ).

fof(f560,definition,
    ( spl0_84
  <=> c3_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f561,plain,
    ( ~ c3_1(a1125)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f563,plain,
    ( ~ spl0_84
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f90,f351,f560]) ).

fof(f565,definition,
    ( spl0_85
  <=> c2_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f567,plain,
    ( ~ spl0_85
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f91,f351,f565]) ).

fof(f569,definition,
    ( spl0_86
  <=> c1_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f571,plain,
    ( ~ spl0_86
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f92,f351,f569]) ).

fof(f574,definition,
    ( spl0_87
  <=> c0_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f575,plain,
    ( ~ c0_1(a1124)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f574]) ).

fof(f577,plain,
    ( ~ spl0_87
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f94,f254,f574]) ).

fof(f579,definition,
    ( spl0_88
  <=> c2_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f581,plain,
    ( spl0_88
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f95,f254,f579]) ).

fof(f583,definition,
    ( spl0_89
  <=> c1_1(a1124) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f585,plain,
    ( spl0_89
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f96,f254,f583]) ).

fof(f588,definition,
    ( spl0_90
  <=> c3_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f589,plain,
    ( ~ c3_1(a1122)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f591,plain,
    ( ~ spl0_90
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f98,f371,f588]) ).

fof(f593,definition,
    ( spl0_91
  <=> c2_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f595,plain,
    ( spl0_91
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f99,f371,f593]) ).

fof(f597,definition,
    ( spl0_92
  <=> c0_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f598,plain,
    ( c0_1(a1122)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f599,plain,
    ( spl0_92
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f100,f371,f597]) ).

fof(f602,definition,
    ( spl0_93
  <=> c0_1(a1121) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ spl0_93
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f102,f324,f602]) ).

fof(f607,definition,
    ( spl0_94
  <=> c3_1(a1121) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f608,plain,
    ( c3_1(a1121)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f609,plain,
    ( spl0_94
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f103,f324,f607]) ).

fof(f611,definition,
    ( spl0_95
  <=> c1_1(a1121) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f613,plain,
    ( spl0_95
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f104,f324,f611]) ).

fof(f616,definition,
    ( spl0_96
  <=> c3_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ c3_1(a1120)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f619,plain,
    ( ~ spl0_96
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f106,f342,f616]) ).

fof(f621,definition,
    ( spl0_97
  <=> c2_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f623,plain,
    ( spl0_97
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f107,f342,f621]) ).

fof(f625,definition,
    ( spl0_98
  <=> c1_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f627,plain,
    ( spl0_98
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f108,f342,f625]) ).

fof(f630,definition,
    ( spl0_99
  <=> c2_1(a1114) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ spl0_99
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f110,f233,f630]) ).

fof(f635,definition,
    ( spl0_100
  <=> c1_1(a1114) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f637,plain,
    ( ~ spl0_100
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f111,f233,f635]) ).

fof(f639,definition,
    ( spl0_101
  <=> c0_1(a1114) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f640,plain,
    ( c0_1(a1114)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f639]) ).

fof(f641,plain,
    ( spl0_101
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f112,f233,f639]) ).

fof(f644,definition,
    ( spl0_102
  <=> c2_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f647,plain,
    ( ~ spl0_102
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f114,f271,f644]) ).

fof(f649,definition,
    ( spl0_103
  <=> c1_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f651,plain,
    ( spl0_103
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f115,f271,f649]) ).

fof(f653,definition,
    ( spl0_104
  <=> c0_1(a1113) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f654,plain,
    ( c0_1(a1113)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f655,plain,
    ( spl0_104
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f116,f271,f653]) ).

fof(f658,definition,
    ( spl0_105
  <=> c1_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f661,plain,
    ( ~ spl0_105
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f118,f237,f658]) ).

fof(f663,definition,
    ( spl0_106
  <=> c3_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f664,plain,
    ( c3_1(a1103)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f665,plain,
    ( spl0_106
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f119,f237,f663]) ).

fof(f667,definition,
    ( spl0_107
  <=> c0_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f668,plain,
    ( c0_1(a1103)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f667]) ).

fof(f669,plain,
    ( spl0_107
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f120,f237,f667]) ).

fof(f672,definition,
    ( spl0_108
  <=> c2_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f675,plain,
    ( ~ spl0_108
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f122,f355,f672]) ).

fof(f677,definition,
    ( spl0_109
  <=> c0_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f678,plain,
    ( ~ c0_1(a1102)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f679,plain,
    ( ~ spl0_109
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f123,f355,f677]) ).

fof(f681,definition,
    ( spl0_110
  <=> c3_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f682,plain,
    ( c3_1(a1102)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f683,plain,
    ( spl0_110
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f124,f355,f681]) ).

fof(f700,definition,
    ( spl0_114
  <=> c3_1(a1098) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f701,plain,
    ( ~ c3_1(a1098)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f703,plain,
    ( ~ spl0_114
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f130,f401,f700]) ).

fof(f709,definition,
    ( spl0_116
  <=> c2_1(a1098) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f711,plain,
    ( spl0_116
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f132,f401,f709]) ).

fof(f714,definition,
    ( spl0_117
  <=> c2_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f717,plain,
    ( ~ spl0_117
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f134,f338,f714]) ).

fof(f719,definition,
    ( spl0_118
  <=> c3_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f720,plain,
    ( c3_1(a1097)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f719]) ).

fof(f721,plain,
    ( spl0_118
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f135,f338,f719]) ).

fof(f723,definition,
    ( spl0_119
  <=> c1_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f725,plain,
    ( spl0_119
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f136,f338,f723]) ).

fof(f728,definition,
    ( spl0_120
  <=> c2_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f731,plain,
    ( ~ spl0_120
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f138,f227,f728]) ).

fof(f733,definition,
    ( spl0_121
  <=> c1_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ spl0_121
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f139,f227,f733]) ).

fof(f737,definition,
    ( spl0_122
  <=> c3_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f738,plain,
    ( c3_1(a1095)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f739,plain,
    ( spl0_122
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f140,f227,f737]) ).

fof(f756,definition,
    ( spl0_126
  <=> c3_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f757,plain,
    ( ~ c3_1(a1091)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f759,plain,
    ( ~ spl0_126
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f146,f331,f756]) ).

fof(f761,definition,
    ( spl0_127
  <=> c0_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f763,plain,
    ( ~ spl0_127
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f147,f331,f761]) ).

fof(f765,definition,
    ( spl0_128
  <=> c2_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f767,plain,
    ( spl0_128
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f148,f331,f765]) ).

fof(f784,definition,
    ( spl0_132
  <=> c1_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f787,plain,
    ( ~ spl0_132
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f154,f303,f784]) ).

fof(f789,definition,
    ( spl0_133
  <=> c3_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f790,plain,
    ( c3_1(a1089)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f791,plain,
    ( spl0_133
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f155,f303,f789]) ).

fof(f793,definition,
    ( spl0_134
  <=> c2_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f795,plain,
    ( spl0_134
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f156,f303,f793]) ).

fof(f812,definition,
    ( spl0_138
  <=> c2_1(a1087) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f815,plain,
    ( ~ spl0_138
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f162,f451,f812]) ).

fof(f817,definition,
    ( spl0_139
  <=> c1_1(a1087) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f819,plain,
    ( ~ spl0_139
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f163,f451,f817]) ).

fof(f821,definition,
    ( spl0_140
  <=> c0_1(a1087) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f822,plain,
    ( ~ c0_1(a1087)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f823,plain,
    ( ~ spl0_140
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f164,f451,f821]) ).

fof(f826,definition,
    ( spl0_141
  <=> c1_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f829,plain,
    ( ~ spl0_141
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f166,f240,f826]) ).

fof(f831,definition,
    ( spl0_142
  <=> c2_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f833,plain,
    ( spl0_142
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f167,f240,f831]) ).

fof(f835,definition,
    ( spl0_143
  <=> c0_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f836,plain,
    ( c0_1(a1086)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f837,plain,
    ( spl0_143
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f168,f240,f835]) ).

fof(f840,definition,
    ( spl0_144
  <=> c1_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f843,plain,
    ( ~ spl0_144
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f170,f220,f840]) ).

fof(f845,definition,
    ( spl0_145
  <=> c0_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f846,plain,
    ( ~ c0_1(a1085)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f847,plain,
    ( ~ spl0_145
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f171,f220,f845]) ).

fof(f849,definition,
    ( spl0_146
  <=> c2_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f851,plain,
    ( spl0_146
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f172,f220,f849]) ).

fof(f852,plain,
    ( spl0_12
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f173,f220,f257]) ).

fof(f854,definition,
    ( spl0_147
  <=> c3_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f855,plain,
    ( ~ c3_1(a1084)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f854]) ).

fof(f857,plain,
    ( ~ spl0_147
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f174,f313,f854]) ).

fof(f859,definition,
    ( spl0_148
  <=> c1_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f861,plain,
    ( ~ spl0_148
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f175,f313,f859]) ).

fof(f863,definition,
    ( spl0_149
  <=> c0_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f864,plain,
    ( c0_1(a1084)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f863]) ).

fof(f865,plain,
    ( spl0_149
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f176,f313,f863]) ).

fof(f868,definition,
    ( spl0_150
  <=> c3_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f869,plain,
    ( ~ c3_1(a1083)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f868]) ).

fof(f871,plain,
    ( ~ spl0_150
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f178,f264,f868]) ).

fof(f873,definition,
    ( spl0_151
  <=> c2_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f875,plain,
    ( ~ spl0_151
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f179,f264,f873]) ).

fof(f877,definition,
    ( spl0_152
  <=> c1_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f879,plain,
    ( spl0_152
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f180,f264,f877]) ).

fof(f882,definition,
    ( spl0_153
  <=> c3_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f883,plain,
    ( ~ c3_1(a1082)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f882]) ).

fof(f885,plain,
    ( ~ spl0_153
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f182,f268,f882]) ).

fof(f887,definition,
    ( spl0_154
  <=> c2_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f889,plain,
    ( ~ spl0_154
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f183,f268,f887]) ).

fof(f891,definition,
    ( spl0_155
  <=> c0_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f892,plain,
    ( ~ c0_1(a1082)
    | spl0_155 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f893,plain,
    ( ~ spl0_155
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f184,f268,f891]) ).

fof(f896,definition,
    ( spl0_156
  <=> c1_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f899,plain,
    ( ~ spl0_156
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f186,f310,f896]) ).

fof(f901,definition,
    ( spl0_157
  <=> c0_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f903,plain,
    ( ~ spl0_157
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f187,f310,f901]) ).

fof(f905,definition,
    ( spl0_158
  <=> c3_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f906,plain,
    ( c3_1(a1081)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f905]) ).

fof(f907,plain,
    ( spl0_158
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f188,f310,f905]) ).

fof(f910,definition,
    ( spl0_159
  <=> c2_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f913,plain,
    ( ~ spl0_159
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f190,f223,f910]) ).

fof(f915,definition,
    ( spl0_160
  <=> c0_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f916,plain,
    ( ~ c0_1(a1080)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f917,plain,
    ( ~ spl0_160
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f191,f223,f915]) ).

fof(f919,definition,
    ( spl0_161
  <=> c1_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f921,plain,
    ( spl0_161
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f192,f223,f919]) ).

fof(f922,plain,
    ( spl0_12
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f193,f223,f257]) ).

fof(f926,definition,
    ( spl0_162
  <=> c1_1(a1092) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f929,plain,
    ( ~ c2_1(a1148)
    | ~ c1_1(a1148)
    | ~ spl0_18
    | ~ spl0_68 ),
    inference(resolution,[],[f279,f485]) ).

fof(f930,plain,
    ( ~ c2_1(a1092)
    | ~ c1_1(a1092)
    | ~ spl0_18
    | ~ spl0_77 ),
    inference(resolution,[],[f279,f528]) ).

fof(f932,plain,
    ( ~ spl0_162
    | ~ spl0_76
    | ~ spl0_18
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f930,f527,f278,f523,f926]) ).

fof(f941,plain,
    ( ~ c1_1(a1164)
    | ~ c0_1(a1164)
    | ~ spl0_21
    | spl0_78 ),
    inference(resolution,[],[f290,f533]) ).

fof(f947,definition,
    ( spl0_163
  <=> c1_1(a1164) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f950,plain,
    ( ~ c0_1(a1092)
    | ~ c2_1(a1092)
    | ~ spl0_23
    | ~ spl0_75 ),
    inference(resolution,[],[f297,f519]) ).

fof(f957,plain,
    ( ~ spl0_76
    | ~ spl0_77
    | ~ spl0_23
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f950,f518,f296,f527,f523]) ).

fof(f966,plain,
    ( ~ c0_1(a1092)
    | ~ c1_1(a1092)
    | ~ spl0_17
    | ~ spl0_75 ),
    inference(resolution,[],[f275,f519]) ).

fof(f968,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(resolution,[],[f275,f290]) ).

fof(f971,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_21 ),
    inference(duplicate_literal_removal,[],[f968]) ).

fof(f974,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_24 ),
    inference(resolution,[],[f300,f290]) ).

fof(f976,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_24 ),
    inference(duplicate_literal_removal,[],[f974]) ).

fof(f977,plain,
    ( spl0_29
    | ~ spl0_21
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f976,f299,f289,f316]) ).

fof(f981,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(resolution,[],[f328,f275]) ).

fof(f986,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f981]) ).

fof(f1004,definition,
    ( spl0_165
  <=> c2_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).

fof(f1015,definition,
    ( spl0_166
  <=> c2_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).

fof(f1020,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(resolution,[],[f307,f290]) ).

fof(f1023,plain,
    ( c2_1(a1095)
    | ~ c0_1(a1095)
    | ~ spl0_26
    | ~ spl0_122 ),
    inference(resolution,[],[f307,f738]) ).

fof(f1026,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(duplicate_literal_removal,[],[f1020]) ).

fof(f1032,definition,
    ( spl0_167
  <=> c0_1(a1095) ),
    introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).

fof(f1033,plain,
    ( ~ c0_1(a1095)
    | spl0_167 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1035,plain,
    ( ~ spl0_167
    | spl0_120
    | ~ spl0_26
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1023,f737,f306,f728,f1032]) ).

fof(f1039,plain,
    ( ~ c2_1(a1092)
    | c1_1(a1092)
    | ~ spl0_37
    | ~ spl0_77 ),
    inference(resolution,[],[f347,f528]) ).

fof(f1040,plain,
    ( ~ c2_1(a1086)
    | c1_1(a1086)
    | ~ spl0_37
    | ~ spl0_143 ),
    inference(resolution,[],[f347,f836]) ).

fof(f1043,plain,
    ( spl0_141
    | ~ spl0_142
    | ~ spl0_37
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1040,f835,f346,f831,f826]) ).

fof(f1045,plain,
    ( c2_1(a1097)
    | ~ c0_1(a1097)
    | ~ spl0_26
    | ~ spl0_118 ),
    inference(resolution,[],[f720,f307]) ).

fof(f1054,definition,
    ( spl0_168
  <=> c0_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).

fof(f1055,plain,
    ( ~ c0_1(a1097)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1054]) ).

fof(f1056,plain,
    ( ~ spl0_168
    | spl0_117
    | ~ spl0_26
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1045,f719,f306,f714,f1054]) ).

fof(f1076,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_23
    | ~ spl0_40 ),
    inference(resolution,[],[f359,f297]) ).

fof(f1085,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_23
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f1076]) ).

fof(f1088,plain,
    ( spl0_37
    | ~ spl0_23
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f1085,f358,f296,f346]) ).

fof(f1115,plain,
    ( c1_1(a1095)
    | c2_1(a1095)
    | ~ spl0_42
    | ~ spl0_122 ),
    inference(resolution,[],[f367,f738]) ).

fof(f1121,definition,
    ( spl0_169
  <=> c1_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).

fof(f1125,plain,
    ( spl0_120
    | spl0_121
    | ~ spl0_42
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1115,f737,f366,f733,f728]) ).

fof(f1145,definition,
    ( spl0_170
  <=> c1_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).

fof(f1182,plain,
    ( c0_1(a1097)
    | ~ c1_1(a1097)
    | ~ spl0_49
    | ~ spl0_118 ),
    inference(resolution,[],[f397,f720]) ).

fof(f1190,plain,
    ( c0_1(a1097)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1054]) ).

fof(f1195,plain,
    ( ~ c0_1(a1109)
    | ~ c2_1(a1109)
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(resolution,[],[f491,f297]) ).

fof(f1200,definition,
    ( spl0_171
  <=> c2_1(a1109) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1209,plain,
    ( ~ c1_1(a1109)
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(resolution,[],[f500,f971]) ).

fof(f1210,plain,
    ( ~ c2_1(a1109)
    | ~ c1_1(a1109)
    | ~ spl0_18
    | ~ spl0_71 ),
    inference(resolution,[],[f500,f279]) ).

fof(f1215,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(resolution,[],[f413,f335]) ).

fof(f1218,plain,
    ( ~ c2_1(a1091)
    | c0_1(a1091)
    | ~ spl0_53
    | spl0_126 ),
    inference(resolution,[],[f413,f757]) ).

fof(f1221,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1215]) ).

fof(f1226,plain,
    ( spl0_61
    | ~ spl0_34
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1221,f412,f334,f447]) ).

fof(f1230,plain,
    ( ~ c1_1(a1080)
    | c2_1(a1080)
    | ~ spl0_56
    | spl0_160 ),
    inference(resolution,[],[f426,f916]) ).

fof(f1234,plain,
    ( ~ c1_1(a1097)
    | c2_1(a1097)
    | ~ spl0_56
    | spl0_168 ),
    inference(resolution,[],[f426,f1055]) ).

fof(f1235,plain,
    ( ~ c1_1(a1102)
    | c2_1(a1102)
    | ~ spl0_56
    | spl0_109 ),
    inference(resolution,[],[f426,f678]) ).

fof(f1240,plain,
    ( spl0_117
    | ~ spl0_119
    | ~ spl0_56
    | spl0_168 ),
    inference(avatar_split_clause,[],[f1234,f1054,f425,f723,f714]) ).

fof(f1268,plain,
    ( spl0_29
    | ~ spl0_21
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1026,f306,f289,f316]) ).

fof(f1278,definition,
    ( spl0_172
  <=> c1_1(a1146) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1317,plain,
    ( ~ spl0_162
    | ~ spl0_77
    | ~ spl0_17
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f966,f518,f274,f527,f926]) ).

fof(f1325,plain,
    ( spl0_162
    | ~ spl0_76
    | ~ spl0_37
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1039,f527,f346,f523,f926]) ).

fof(f1331,plain,
    ( ~ spl0_119
    | spl0_168
    | ~ spl0_49
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1182,f719,f396,f1054,f723]) ).

fof(f1338,plain,
    ( c1_1(a1092)
    | ~ c2_1(a1092)
    | ~ spl0_34
    | ~ spl0_75 ),
    inference(resolution,[],[f519,f335]) ).

fof(f1339,plain,
    ( c1_1(a1092)
    | ~ c0_1(a1092)
    | ~ spl0_57
    | ~ spl0_75 ),
    inference(resolution,[],[f519,f431]) ).

fof(f1340,plain,
    ( ~ spl0_77
    | spl0_162
    | ~ spl0_57
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1339,f518,f430,f926,f527]) ).

fof(f1341,plain,
    ( ~ spl0_76
    | spl0_162
    | ~ spl0_34
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1338,f518,f334,f926,f523]) ).

fof(f1342,plain,
    ( ~ c2_1(a1098)
    | c0_1(a1098)
    | ~ spl0_53
    | spl0_114 ),
    inference(resolution,[],[f701,f413]) ).

fof(f1344,definition,
    ( spl0_175
  <=> c0_1(a1098) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1350,definition,
    ( spl0_176
  <=> c0_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1364,definition,
    ( spl0_177
  <=> c1_1(a1122) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1370,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_57 ),
    inference(resolution,[],[f286,f431]) ).

fof(f1374,plain,
    ( ~ c2_1(a1098)
    | ~ c0_1(a1098)
    | ~ spl0_20
    | spl0_114 ),
    inference(resolution,[],[f286,f701]) ).

fof(f1377,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_20
    | ~ spl0_57 ),
    inference(duplicate_literal_removal,[],[f1370]) ).

fof(f1384,plain,
    ( spl0_37
    | ~ spl0_20
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f1377,f430,f285,f346]) ).

fof(f1386,definition,
    ( spl0_178
  <=> c0_1(a1125) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1464,plain,
    ( spl0_159
    | ~ spl0_161
    | ~ spl0_56
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1230,f915,f425,f919,f910]) ).

fof(f1490,plain,
    ( c2_1(a1109)
    | ~ c0_1(a1109)
    | ~ spl0_26
    | ~ spl0_69 ),
    inference(resolution,[],[f491,f307]) ).

fof(f1493,plain,
    ( ~ spl0_71
    | spl0_171
    | ~ spl0_26
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1490,f490,f306,f1200,f499]) ).

fof(f1496,plain,
    ( ~ c2_1(a1120)
    | c0_1(a1120)
    | ~ spl0_53
    | spl0_96 ),
    inference(resolution,[],[f617,f413]) ).

fof(f1498,definition,
    ( spl0_181
  <=> c0_1(a1120) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1505,definition,
    ( spl0_182
  <=> c2_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1516,plain,
    ( ~ c2_1(a1084)
    | ~ c0_1(a1084)
    | ~ spl0_20
    | spl0_147 ),
    inference(resolution,[],[f286,f855]) ).

fof(f1519,plain,
    ( ~ c2_1(a1120)
    | ~ c0_1(a1120)
    | ~ spl0_20
    | spl0_96 ),
    inference(resolution,[],[f286,f617]) ).

fof(f1557,plain,
    ( c1_1(a1114)
    | c2_1(a1114)
    | ~ spl0_45
    | ~ spl0_101 ),
    inference(resolution,[],[f379,f640]) ).

fof(f1564,plain,
    ( spl0_99
    | spl0_100
    | ~ spl0_45
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1557,f639,f378,f635,f630]) ).

fof(f1570,plain,
    ( c1_1(a1164)
    | c2_1(a1164)
    | ~ spl0_45
    | ~ spl0_80 ),
    inference(resolution,[],[f542,f379]) ).

fof(f1572,plain,
    ( spl0_79
    | spl0_163
    | ~ spl0_45
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1570,f541,f378,f947,f537]) ).

fof(f1613,plain,
    ( c0_1(a1121)
    | ~ c1_1(a1121)
    | ~ spl0_49
    | ~ spl0_94 ),
    inference(resolution,[],[f397,f608]) ).

fof(f1614,plain,
    ( c0_1(a1146)
    | ~ c1_1(a1146)
    | ~ spl0_49
    | ~ spl0_82 ),
    inference(resolution,[],[f397,f552]) ).

fof(f1618,plain,
    ( ~ spl0_172
    | spl0_81
    | ~ spl0_49
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1614,f551,f396,f546,f1278]) ).

fof(f1619,plain,
    ( ~ spl0_95
    | spl0_93
    | ~ spl0_49
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1613,f607,f396,f602,f611]) ).

fof(f1644,plain,
    ( c2_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl0_26
    | ~ spl0_106 ),
    inference(resolution,[],[f664,f307]) ).

fof(f1646,plain,
    ( c1_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl0_57
    | ~ spl0_106 ),
    inference(resolution,[],[f664,f431]) ).

fof(f1647,plain,
    ( ~ spl0_107
    | spl0_105
    | ~ spl0_57
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1646,f663,f430,f658,f667]) ).

fof(f1649,plain,
    ( ~ spl0_107
    | spl0_165
    | ~ spl0_26
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1644,f663,f306,f1004,f667]) ).

fof(f1651,plain,
    ( ~ c2_1(a1103)
    | c1_1(a1103)
    | ~ spl0_37
    | ~ spl0_107 ),
    inference(resolution,[],[f668,f347]) ).

fof(f1652,plain,
    ( spl0_105
    | ~ spl0_165
    | ~ spl0_37
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1651,f667,f346,f1004,f658]) ).

fof(f1695,plain,
    ( c1_1(a1089)
    | ~ c2_1(a1089)
    | ~ spl0_34
    | ~ spl0_133 ),
    inference(resolution,[],[f335,f790]) ).

fof(f1698,plain,
    ( c1_1(a1103)
    | ~ c2_1(a1103)
    | ~ spl0_34
    | ~ spl0_106 ),
    inference(resolution,[],[f335,f664]) ).

fof(f1700,plain,
    ( c1_1(a1146)
    | ~ c2_1(a1146)
    | ~ spl0_34
    | ~ spl0_82 ),
    inference(resolution,[],[f335,f552]) ).

fof(f1704,plain,
    ( ~ spl0_83
    | spl0_172
    | ~ spl0_34
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1700,f551,f334,f1278,f555]) ).

fof(f1705,plain,
    ( ~ spl0_165
    | spl0_105
    | ~ spl0_34
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1698,f663,f334,f658,f1004]) ).

fof(f1706,plain,
    ( ~ spl0_134
    | spl0_132
    | ~ spl0_34
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1695,f789,f334,f784,f793]) ).

fof(f1719,plain,
    ( ~ c2_1(a1122)
    | c1_1(a1122)
    | ~ spl0_40
    | spl0_90 ),
    inference(resolution,[],[f359,f589]) ).

fof(f1724,plain,
    ( spl0_177
    | ~ spl0_91
    | ~ spl0_40
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1719,f588,f358,f593,f1364]) ).

fof(f1763,plain,
    ( c1_1(a1103)
    | c2_1(a1103)
    | ~ spl0_42
    | ~ spl0_106 ),
    inference(resolution,[],[f367,f664]) ).

fof(f1770,plain,
    ( spl0_165
    | spl0_105
    | ~ spl0_42
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1763,f663,f366,f658,f1004]) ).

fof(f1775,plain,
    ( ~ spl0_80
    | ~ spl0_163
    | ~ spl0_21
    | spl0_78 ),
    inference(avatar_split_clause,[],[f941,f532,f289,f947,f541]) ).

fof(f1790,plain,
    ( ~ c1_1(a1120)
    | ~ c0_1(a1120)
    | ~ spl0_21
    | spl0_96 ),
    inference(resolution,[],[f290,f617]) ).

fof(f1791,plain,
    ( ~ c1_1(a1122)
    | ~ c0_1(a1122)
    | ~ spl0_21
    | spl0_90 ),
    inference(resolution,[],[f290,f589]) ).

fof(f1794,plain,
    ( ~ spl0_92
    | ~ spl0_177
    | ~ spl0_21
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1791,f588,f289,f1364,f597]) ).

fof(f1796,plain,
    ( ~ spl0_181
    | ~ spl0_98
    | ~ spl0_21
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1790,f616,f289,f625,f1498]) ).

fof(f1800,plain,
    ( ~ c1_1(a1082)
    | c2_1(a1082)
    | ~ spl0_44
    | spl0_153 ),
    inference(resolution,[],[f375,f883]) ).

fof(f1801,plain,
    ( ~ c1_1(a1083)
    | c2_1(a1083)
    | ~ spl0_44
    | spl0_150 ),
    inference(resolution,[],[f375,f869]) ).

fof(f1817,plain,
    ( spl0_151
    | ~ spl0_152
    | ~ spl0_44
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1801,f868,f374,f877,f873]) ).

fof(f1818,plain,
    ( spl0_154
    | ~ spl0_170
    | ~ spl0_44
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1800,f882,f374,f1145,f887]) ).

fof(f1830,plain,
    ( ~ c2_1(a1146)
    | ~ c1_1(a1146)
    | ~ spl0_51
    | spl0_81 ),
    inference(resolution,[],[f405,f547]) ).

fof(f1833,plain,
    ( ~ spl0_172
    | ~ spl0_83
    | ~ spl0_51
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1830,f546,f404,f555,f1278]) ).

fof(f1877,plain,
    ( c0_1(a1081)
    | c1_1(a1081)
    | ~ spl0_59
    | ~ spl0_158 ),
    inference(resolution,[],[f439,f906]) ).

fof(f1884,plain,
    ( c0_1(a1146)
    | c1_1(a1146)
    | ~ spl0_59
    | ~ spl0_82 ),
    inference(resolution,[],[f439,f552]) ).

fof(f1888,plain,
    ( spl0_172
    | spl0_81
    | ~ spl0_59
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1884,f551,f438,f546,f1278]) ).

fof(f1892,plain,
    ( spl0_156
    | spl0_157
    | ~ spl0_59
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1877,f905,f438,f901,f896]) ).

fof(f1905,plain,
    ( ~ c2_1(a1085)
    | c1_1(a1085)
    | ~ spl0_61
    | spl0_145 ),
    inference(resolution,[],[f448,f846]) ).

fof(f1922,plain,
    ( spl0_144
    | ~ spl0_146
    | ~ spl0_61
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1905,f845,f447,f849,f840]) ).

fof(f1926,plain,
    ( spl0_108
    | ~ spl0_169
    | ~ spl0_56
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1235,f677,f425,f1121,f672]) ).

fof(f1929,plain,
    ( ~ c0_1(a1083)
    | c2_1(a1083)
    | ~ spl0_32
    | spl0_150 ),
    inference(resolution,[],[f328,f869]) ).

fof(f1930,plain,
    ( ~ c0_1(a1084)
    | c2_1(a1084)
    | ~ spl0_32
    | spl0_147 ),
    inference(resolution,[],[f328,f855]) ).

fof(f1937,plain,
    ( ~ c0_1(a1125)
    | c2_1(a1125)
    | ~ spl0_32
    | spl0_84 ),
    inference(resolution,[],[f328,f561]) ).

fof(f1993,plain,
    ( c0_1(a1081)
    | ~ c2_1(a1081)
    | ~ spl0_48
    | ~ spl0_158 ),
    inference(resolution,[],[f392,f906]) ).

fof(f2002,plain,
    ( c0_1(a1101)
    | ~ c2_1(a1101)
    | ~ spl0_48
    | ~ spl0_72 ),
    inference(resolution,[],[f392,f505]) ).

fof(f2006,definition,
    ( spl0_185
  <=> c0_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f2008,plain,
    ( ~ spl0_73
    | spl0_185
    | ~ spl0_48
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2002,f504,f391,f2006,f509]) ).

fof(f2034,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_63 ),
    inference(resolution,[],[f461,f392]) ).

fof(f2045,plain,
    ( c0_1(a1125)
    | c1_1(a1125)
    | ~ spl0_63
    | spl0_84 ),
    inference(resolution,[],[f461,f561]) ).

fof(f2047,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_63 ),
    inference(duplicate_literal_removal,[],[f2034]) ).

fof(f2057,plain,
    ( spl0_61
    | ~ spl0_48
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f2047,f460,f391,f447]) ).

fof(f2060,plain,
    ( c2_1(a1082)
    | c1_1(a1082)
    | ~ spl0_64
    | spl0_155 ),
    inference(resolution,[],[f465,f892]) ).

fof(f2062,plain,
    ( c2_1(a1087)
    | c1_1(a1087)
    | ~ spl0_64
    | spl0_140 ),
    inference(resolution,[],[f465,f822]) ).

fof(f2065,plain,
    ( c2_1(a1095)
    | c1_1(a1095)
    | ~ spl0_64
    | spl0_167 ),
    inference(resolution,[],[f465,f1033]) ).

fof(f2066,plain,
    ( c2_1(a1102)
    | c1_1(a1102)
    | ~ spl0_64
    | spl0_109 ),
    inference(resolution,[],[f465,f678]) ).

fof(f2074,plain,
    ( spl0_121
    | spl0_120
    | ~ spl0_64
    | spl0_167 ),
    inference(avatar_split_clause,[],[f2065,f1032,f464,f728,f733]) ).

fof(f2085,plain,
    ( ~ spl0_162
    | ~ spl0_77
    | ~ spl0_17
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f966,f518,f274,f527,f926]) ).

fof(f2087,plain,
    ( ~ spl0_70
    | ~ spl0_17
    | ~ spl0_21
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1209,f499,f289,f274,f495]) ).

fof(f2091,plain,
    ( ~ spl0_175
    | ~ spl0_116
    | ~ spl0_20
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1374,f700,f285,f709,f1344]) ).

fof(f2094,plain,
    ( ~ spl0_149
    | ~ spl0_182
    | ~ spl0_20
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1516,f854,f285,f1505,f863]) ).

fof(f2096,plain,
    ( ~ spl0_181
    | ~ spl0_97
    | ~ spl0_20
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1519,f616,f285,f621,f1498]) ).

fof(f2145,plain,
    ( ~ c0_1(a1101)
    | ~ c1_1(a1101)
    | ~ spl0_17
    | ~ spl0_72 ),
    inference(resolution,[],[f275,f505]) ).

fof(f2150,plain,
    ( ~ spl0_74
    | ~ spl0_185
    | ~ spl0_17
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f2145,f504,f274,f2006,f513]) ).

fof(f2157,plain,
    ( ~ c1_1(a1083)
    | c0_1(a1083)
    | ~ spl0_55
    | spl0_150 ),
    inference(resolution,[],[f422,f869]) ).

fof(f2163,plain,
    ( ~ c1_1(a1120)
    | c0_1(a1120)
    | ~ spl0_55
    | spl0_96 ),
    inference(resolution,[],[f422,f617]) ).

fof(f2171,plain,
    ( spl0_181
    | ~ spl0_98
    | ~ spl0_55
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2163,f616,f421,f625,f1498]) ).

fof(f2173,plain,
    ( spl0_176
    | ~ spl0_152
    | ~ spl0_55
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2157,f868,f421,f877,f1350]) ).

fof(f2177,plain,
    ( c0_1(a1082)
    | c2_1(a1082)
    | ~ spl0_58
    | spl0_153 ),
    inference(resolution,[],[f435,f883]) ).

fof(f2194,plain,
    ( spl0_154
    | spl0_155
    | ~ spl0_58
    | spl0_153 ),
    inference(avatar_split_clause,[],[f2177,f882,f434,f891,f887]) ).

fof(f2206,plain,
    ( ~ spl0_70
    | ~ spl0_171
    | ~ spl0_18
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1210,f499,f278,f1200,f495]) ).

fof(f2210,plain,
    ( spl0_29
    | ~ spl0_17
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f986,f327,f274,f316]) ).

fof(f2228,plain,
    ( ~ spl0_171
    | ~ spl0_71
    | ~ spl0_23
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1195,f490,f296,f499,f1200]) ).

fof(f2231,plain,
    ( ~ c2_1(a1122)
    | c1_1(a1122)
    | ~ spl0_37
    | ~ spl0_92 ),
    inference(resolution,[],[f598,f347]) ).

fof(f2232,plain,
    ( spl0_177
    | ~ spl0_91
    | ~ spl0_37
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f2231,f597,f346,f593,f1364]) ).

fof(f2269,plain,
    ( ~ spl0_166
    | spl0_157
    | ~ spl0_48
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1993,f905,f391,f901,f1015]) ).

fof(f2281,plain,
    ( c0_1(a1125)
    | c2_1(a1125)
    | ~ spl0_58
    | spl0_84 ),
    inference(resolution,[],[f561,f435]) ).

fof(f2283,plain,
    ( spl0_85
    | spl0_178
    | ~ spl0_58
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2281,f560,f434,f1386,f565]) ).

fof(f2286,plain,
    ( ~ c2_1(a1084)
    | c1_1(a1084)
    | ~ spl0_37
    | ~ spl0_149 ),
    inference(resolution,[],[f864,f347]) ).

fof(f2287,plain,
    ( spl0_148
    | ~ spl0_182
    | ~ spl0_37
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2286,f863,f346,f1505,f859]) ).

fof(f2312,plain,
    ( c2_1(a1097)
    | ~ c1_1(a1097)
    | ~ spl0_24
    | ~ spl0_118 ),
    inference(resolution,[],[f300,f720]) ).

fof(f2322,plain,
    ( ~ spl0_119
    | spl0_117
    | ~ spl0_24
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2312,f719,f299,f714,f723]) ).

fof(f2326,plain,
    ( ~ c1_1(a1097)
    | c2_1(a1097)
    | ~ spl0_29
    | ~ spl0_168 ),
    inference(resolution,[],[f317,f1190]) ).

fof(f2328,plain,
    ( ~ c1_1(a1113)
    | c2_1(a1113)
    | ~ spl0_29
    | ~ spl0_104 ),
    inference(resolution,[],[f317,f654]) ).

fof(f2335,plain,
    ( spl0_102
    | ~ spl0_103
    | ~ spl0_29
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2328,f653,f316,f649,f644]) ).

fof(f2336,plain,
    ( spl0_117
    | ~ spl0_119
    | ~ spl0_29
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f2326,f1054,f316,f723,f714]) ).

fof(f2348,plain,
    ( c0_1(a1146)
    | ~ c2_1(a1146)
    | ~ spl0_48
    | ~ spl0_82 ),
    inference(resolution,[],[f392,f552]) ).

fof(f2352,plain,
    ( ~ spl0_83
    | spl0_81
    | ~ spl0_48
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f2348,f551,f391,f546,f555]) ).

fof(f2364,plain,
    ( ~ c2_1(a1124)
    | ~ c1_1(a1124)
    | ~ spl0_51
    | spl0_87 ),
    inference(resolution,[],[f405,f575]) ).

fof(f2367,plain,
    ( ~ spl0_89
    | ~ spl0_88
    | ~ spl0_51
    | spl0_87 ),
    inference(avatar_split_clause,[],[f2364,f574,f404,f579,f583]) ).

fof(f2390,plain,
    ( c0_1(a1081)
    | c2_1(a1081)
    | ~ spl0_65
    | ~ spl0_158 ),
    inference(resolution,[],[f470,f906]) ).

fof(f2395,plain,
    ( c0_1(a1102)
    | c2_1(a1102)
    | ~ spl0_65
    | ~ spl0_110 ),
    inference(resolution,[],[f470,f682]) ).

fof(f2403,plain,
    ( spl0_108
    | spl0_109
    | ~ spl0_65
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f2395,f681,f469,f677,f672]) ).

fof(f2405,plain,
    ( spl0_166
    | spl0_157
    | ~ spl0_65
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2390,f905,f469,f901,f1015]) ).

fof(f2406,plain,
    ( ~ spl0_67
    | ~ spl0_66
    | ~ spl0_18
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f929,f484,f278,f475,f480]) ).

fof(f2412,plain,
    ( spl0_151
    | ~ spl0_176
    | ~ spl0_32
    | spl0_150 ),
    inference(avatar_split_clause,[],[f1929,f868,f327,f1350,f873]) ).

fof(f2413,plain,
    ( spl0_182
    | ~ spl0_149
    | ~ spl0_32
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1930,f854,f327,f863,f1505]) ).

fof(f2415,plain,
    ( spl0_85
    | ~ spl0_178
    | ~ spl0_32
    | spl0_84 ),
    inference(avatar_split_clause,[],[f1937,f560,f327,f1386,f565]) ).

fof(f2417,plain,
    ( spl0_181
    | ~ spl0_97
    | ~ spl0_53
    | spl0_96 ),
    inference(avatar_split_clause,[],[f1496,f616,f412,f621,f1498]) ).

fof(f2418,plain,
    ( spl0_127
    | ~ spl0_128
    | ~ spl0_53
    | spl0_126 ),
    inference(avatar_split_clause,[],[f1218,f756,f412,f765,f761]) ).

fof(f2419,plain,
    ( spl0_175
    | ~ spl0_116
    | ~ spl0_53
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1342,f700,f412,f709,f1344]) ).

fof(f2424,plain,
    ( spl0_86
    | spl0_178
    | ~ spl0_63
    | spl0_84 ),
    inference(avatar_split_clause,[],[f2045,f560,f460,f1386,f569]) ).

fof(f2425,plain,
    ( spl0_170
    | spl0_154
    | ~ spl0_64
    | spl0_155 ),
    inference(avatar_split_clause,[],[f2060,f891,f464,f887,f1145]) ).

fof(f2426,plain,
    ( spl0_139
    | spl0_138
    | ~ spl0_64
    | spl0_140 ),
    inference(avatar_split_clause,[],[f2062,f821,f464,f812,f817]) ).

fof(f2428,plain,
    ( spl0_169
    | spl0_108
    | ~ spl0_64
    | spl0_109 ),
    inference(avatar_split_clause,[],[f2066,f677,f464,f672,f1121]) ).

fof(f2451,plain,
    ( ~ c2_1(a1120)
    | ~ c1_1(a1120)
    | ~ spl0_19
    | spl0_96 ),
    inference(resolution,[],[f283,f617]) ).

fof(f2455,plain,
    ( ~ spl0_98
    | ~ spl0_97
    | ~ spl0_19
    | spl0_96 ),
    inference(avatar_split_clause,[],[f2451,f616,f282,f621,f625]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f235]) ).

cnf(s3,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f245]) ).

cnf(s7,plain,
    ( ~ spl0_12
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f276]) ).

cnf(s8,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_12
    | spl0_18 ),
    inference(sat_conversion,[],[f280]) ).

cnf(s9,plain,
    ( spl0_10
    | ~ spl0_12
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f287]) ).

cnf(s10,plain,
    ( spl0_1
    | ~ spl0_12
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f291]) ).

cnf(s11,plain,
    ( ~ spl0_12
    | spl0_22
    | spl0_23
    | spl0_24 ),
    inference(sat_conversion,[],[f301]) ).

cnf(s12,plain,
    ( spl0_8
    | ~ spl0_12
    | spl0_25
    | spl0_26 ),
    inference(sat_conversion,[],[f308]) ).

cnf(s18,plain,
    ( ~ spl0_12
    | spl0_34
    | spl0_36 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s20,plain,
    ( ~ spl0_12
    | spl0_35
    | spl0_37 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s21,plain,
    ( ~ spl0_12
    | spl0_18
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s22,plain,
    ( ~ spl0_12
    | spl0_37
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s24,plain,
    ( spl0_11
    | ~ spl0_12
    | spl0_38
    | spl0_42 ),
    inference(sat_conversion,[],[f368]) ).

cnf(s25,plain,
    ( ~ spl0_12
    | spl0_27
    | spl0_29
    | spl0_42 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s26,plain,
    ( ~ spl0_12
    | spl0_42
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f376]) ).

cnf(s27,plain,
    ( ~ spl0_12
    | spl0_31
    | spl0_36
    | spl0_45 ),
    inference(sat_conversion,[],[f380]) ).

cnf(s32,plain,
    ( ~ spl0_12
    | spl0_16
    | spl0_48 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s33,plain,
    ( ~ spl0_12
    | spl0_15
    | spl0_25
    | spl0_49 ),
    inference(sat_conversion,[],[f398]) ).

cnf(s34,plain,
    ( spl0_6
    | ~ spl0_12
    | spl0_30
    | spl0_49 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s36,plain,
    ( ~ spl0_12
    | spl0_25
    | spl0_40
    | spl0_51 ),
    inference(sat_conversion,[],[f407]) ).

cnf(s38,plain,
    ( spl0_6
    | ~ spl0_12
    | spl0_53 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s39,plain,
    ( ~ spl0_12
    | spl0_17
    | spl0_39
    | spl0_53 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s40,plain,
    ( ~ spl0_12
    | spl0_34
    | spl0_54
    | spl0_55 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s42,plain,
    ( ~ spl0_12
    | spl0_35
    | spl0_50
    | spl0_56 ),
    inference(sat_conversion,[],[f428]) ).

cnf(s43,plain,
    ( spl0_1
    | ~ spl0_12
    | spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s46,plain,
    ( ~ spl0_12
    | spl0_23
    | spl0_33
    | spl0_59 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s49,plain,
    ( spl0_7
    | ~ spl0_12
    | spl0_61
    | spl0_62 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s50,plain,
    ( ~ spl0_12
    | spl0_29
    | spl0_32
    | spl0_61 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s52,plain,
    ( ~ spl0_12
    | spl0_18
    | spl0_51
    | spl0_61 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s53,plain,
    ( ~ spl0_12
    | spl0_28
    | spl0_55
    | spl0_61 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s54,plain,
    ( ~ spl0_12
    | spl0_14
    | spl0_56
    | spl0_61 ),
    inference(sat_conversion,[],[f458]) ).

cnf(s55,plain,
    ( ~ spl0_12
    | spl0_24
    | spl0_44
    | spl0_63 ),
    inference(sat_conversion,[],[f462]) ).

cnf(s56,plain,
    ( ~ spl0_12
    | spl0_15
    | spl0_27
    | spl0_64 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s57,plain,
    ( ~ spl0_12
    | spl0_17
    | spl0_23
    | spl0_64 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s59,plain,
    ( ~ spl0_12
    | spl0_21
    | spl0_64
    | spl0_65 ),
    inference(sat_conversion,[],[f472]) ).

cnf(s60,plain,
    ( ~ spl0_12
    | spl0_34
    | spl0_58
    | spl0_64 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s61,plain,
    ( ~ spl0_10
    | spl0_66 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s62,plain,
    ( ~ spl0_10
    | spl0_67 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s63,plain,
    ( ~ spl0_10
    | spl0_68 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s65,plain,
    ( ~ spl0_30
    | spl0_69 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s66,plain,
    ( ~ spl0_30
    | spl0_70 ),
    inference(sat_conversion,[],[f497]) ).

cnf(s67,plain,
    ( ~ spl0_30
    | spl0_71 ),
    inference(sat_conversion,[],[f501]) ).

cnf(s69,plain,
    ( ~ spl0_54
    | spl0_72 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s70,plain,
    ( ~ spl0_54
    | spl0_73 ),
    inference(sat_conversion,[],[f511]) ).

cnf(s71,plain,
    ( ~ spl0_54
    | spl0_74 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s73,plain,
    ( ~ spl0_8
    | spl0_75 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s74,plain,
    ( ~ spl0_8
    | spl0_76 ),
    inference(sat_conversion,[],[f525]) ).

cnf(s75,plain,
    ( ~ spl0_8
    | spl0_77 ),
    inference(sat_conversion,[],[f529]) ).

cnf(s77,plain,
    ( ~ spl0_4
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s78,plain,
    ( ~ spl0_4
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s79,plain,
    ( ~ spl0_4
    | spl0_80 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s81,plain,
    ( ~ spl0_22
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s82,plain,
    ( ~ spl0_22
    | spl0_82 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s83,plain,
    ( ~ spl0_22
    | spl0_83 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s85,plain,
    ( ~ spl0_38
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s86,plain,
    ( ~ spl0_38
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f567]) ).

cnf(s87,plain,
    ( ~ spl0_38
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f571]) ).

cnf(s89,plain,
    ( ~ spl0_11
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s90,plain,
    ( ~ spl0_11
    | spl0_88 ),
    inference(sat_conversion,[],[f581]) ).

cnf(s91,plain,
    ( ~ spl0_11
    | spl0_89 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s93,plain,
    ( ~ spl0_43
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s94,plain,
    ( ~ spl0_43
    | spl0_91 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s95,plain,
    ( ~ spl0_43
    | spl0_92 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s97,plain,
    ( ~ spl0_31
    | ~ spl0_93 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s98,plain,
    ( ~ spl0_31
    | spl0_94 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s99,plain,
    ( ~ spl0_31
    | spl0_95 ),
    inference(sat_conversion,[],[f613]) ).

cnf(s101,plain,
    ( ~ spl0_36
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f619]) ).

cnf(s102,plain,
    ( ~ spl0_36
    | spl0_97 ),
    inference(sat_conversion,[],[f623]) ).

cnf(s103,plain,
    ( ~ spl0_36
    | spl0_98 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s105,plain,
    ( ~ spl0_5
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s106,plain,
    ( ~ spl0_5
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s107,plain,
    ( ~ spl0_5
    | spl0_101 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s109,plain,
    ( ~ spl0_16
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s110,plain,
    ( ~ spl0_16
    | spl0_103 ),
    inference(sat_conversion,[],[f651]) ).

cnf(s111,plain,
    ( ~ spl0_16
    | spl0_104 ),
    inference(sat_conversion,[],[f655]) ).

cnf(s113,plain,
    ( ~ spl0_6
    | ~ spl0_105 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s114,plain,
    ( ~ spl0_6
    | spl0_106 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s115,plain,
    ( ~ spl0_6
    | spl0_107 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s117,plain,
    ( ~ spl0_39
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s118,plain,
    ( ~ spl0_39
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s119,plain,
    ( ~ spl0_39
    | spl0_110 ),
    inference(sat_conversion,[],[f683]) ).

cnf(s125,plain,
    ( ~ spl0_50
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s127,plain,
    ( ~ spl0_50
    | spl0_116 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s129,plain,
    ( ~ spl0_35
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s130,plain,
    ( ~ spl0_35
    | spl0_118 ),
    inference(sat_conversion,[],[f721]) ).

cnf(s131,plain,
    ( ~ spl0_35
    | spl0_119 ),
    inference(sat_conversion,[],[f725]) ).

cnf(s133,plain,
    ( ~ spl0_3
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s134,plain,
    ( ~ spl0_3
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s135,plain,
    ( ~ spl0_3
    | spl0_122 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s141,plain,
    ( ~ spl0_33
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s142,plain,
    ( ~ spl0_33
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f763]) ).

cnf(s143,plain,
    ( ~ spl0_33
    | spl0_128 ),
    inference(sat_conversion,[],[f767]) ).

cnf(s149,plain,
    ( ~ spl0_25
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s150,plain,
    ( ~ spl0_25
    | spl0_133 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s151,plain,
    ( ~ spl0_25
    | spl0_134 ),
    inference(sat_conversion,[],[f795]) ).

cnf(s157,plain,
    ( ~ spl0_62
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s158,plain,
    ( ~ spl0_62
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s159,plain,
    ( ~ spl0_62
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f823]) ).

cnf(s161,plain,
    ( ~ spl0_7
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f829]) ).

cnf(s162,plain,
    ( ~ spl0_7
    | spl0_142 ),
    inference(sat_conversion,[],[f833]) ).

cnf(s163,plain,
    ( ~ spl0_7
    | spl0_143 ),
    inference(sat_conversion,[],[f837]) ).

cnf(s165,plain,
    ( ~ spl0_1
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f843]) ).

cnf(s166,plain,
    ( ~ spl0_1
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f847]) ).

cnf(s167,plain,
    ( ~ spl0_1
    | spl0_146 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s168,plain,
    ( ~ spl0_1
    | spl0_12 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s169,plain,
    ( ~ spl0_28
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s170,plain,
    ( ~ spl0_28
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s171,plain,
    ( ~ spl0_28
    | spl0_149 ),
    inference(sat_conversion,[],[f865]) ).

cnf(s173,plain,
    ( ~ spl0_14
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f871]) ).

cnf(s174,plain,
    ( ~ spl0_14
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f875]) ).

cnf(s175,plain,
    ( ~ spl0_14
    | spl0_152 ),
    inference(sat_conversion,[],[f879]) ).

cnf(s177,plain,
    ( ~ spl0_15
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s178,plain,
    ( ~ spl0_15
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s179,plain,
    ( ~ spl0_15
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f893]) ).

cnf(s181,plain,
    ( ~ spl0_27
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s182,plain,
    ( ~ spl0_27
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f903]) ).

cnf(s183,plain,
    ( ~ spl0_27
    | spl0_158 ),
    inference(sat_conversion,[],[f907]) ).

cnf(s185,plain,
    ( ~ spl0_2
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f913]) ).

cnf(s186,plain,
    ( ~ spl0_2
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f917]) ).

cnf(s187,plain,
    ( ~ spl0_2
    | spl0_161 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s188,plain,
    ( ~ spl0_2
    | spl0_12 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s190,plain,
    ( ~ spl0_18
    | ~ spl0_76
    | ~ spl0_77
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s193,plain,
    ( ~ spl0_23
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(sat_conversion,[],[f957]) ).

cnf(s196,plain,
    ( ~ spl0_21
    | ~ spl0_24
    | spl0_29 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s203,plain,
    ( ~ spl0_26
    | spl0_120
    | ~ spl0_122
    | ~ spl0_167 ),
    inference(sat_conversion,[],[f1035]) ).

cnf(s204,plain,
    ( ~ spl0_37
    | spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1043]) ).

cnf(s207,plain,
    ( ~ spl0_26
    | spl0_117
    | ~ spl0_118
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f1056]) ).

cnf(s210,plain,
    ( ~ spl0_23
    | spl0_37
    | ~ spl0_40 ),
    inference(sat_conversion,[],[f1088]) ).

cnf(s216,plain,
    ( ~ spl0_42
    | spl0_120
    | spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1125]) ).

cnf(s231,plain,
    ( ~ spl0_34
    | ~ spl0_53
    | spl0_61 ),
    inference(sat_conversion,[],[f1226]) ).

cnf(s233,plain,
    ( ~ spl0_56
    | spl0_117
    | ~ spl0_119
    | spl0_168 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s240,plain,
    ( ~ spl0_21
    | ~ spl0_26
    | spl0_29 ),
    inference(sat_conversion,[],[f1268]) ).

cnf(s255,plain,
    ( ~ spl0_17
    | ~ spl0_75
    | ~ spl0_77
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f1317]) ).

cnf(s263,plain,
    ( ~ spl0_37
    | ~ spl0_76
    | ~ spl0_77
    | spl0_162 ),
    inference(sat_conversion,[],[f1325]) ).

cnf(s269,plain,
    ( ~ spl0_49
    | ~ spl0_118
    | ~ spl0_119
    | spl0_168 ),
    inference(sat_conversion,[],[f1331]) ).

cnf(s275,plain,
    ( ~ spl0_57
    | ~ spl0_75
    | ~ spl0_77
    | spl0_162 ),
    inference(sat_conversion,[],[f1340]) ).

cnf(s276,plain,
    ( ~ spl0_34
    | ~ spl0_75
    | ~ spl0_76
    | spl0_162 ),
    inference(sat_conversion,[],[f1341]) ).

cnf(s283,plain,
    ( ~ spl0_20
    | spl0_37
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f1384]) ).

cnf(s317,plain,
    ( ~ spl0_56
    | spl0_159
    | spl0_160
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f1464]) ).

cnf(s333,plain,
    ( ~ spl0_26
    | ~ spl0_69
    | ~ spl0_71
    | spl0_171 ),
    inference(sat_conversion,[],[f1493]) ).

cnf(s350,plain,
    ( ~ spl0_45
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1564]) ).

cnf(s354,plain,
    ( ~ spl0_45
    | spl0_79
    | ~ spl0_80
    | spl0_163 ),
    inference(sat_conversion,[],[f1572]) ).

cnf(s362,plain,
    ( ~ spl0_49
    | spl0_81
    | ~ spl0_82
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1618]) ).

cnf(s363,plain,
    ( ~ spl0_49
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(sat_conversion,[],[f1619]) ).

cnf(s373,plain,
    ( ~ spl0_57
    | spl0_105
    | ~ spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1647]) ).

cnf(s375,plain,
    ( ~ spl0_26
    | ~ spl0_106
    | ~ spl0_107
    | spl0_165 ),
    inference(sat_conversion,[],[f1649]) ).

cnf(s376,plain,
    ( ~ spl0_37
    | spl0_105
    | ~ spl0_107
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1652]) ).

cnf(s398,plain,
    ( ~ spl0_34
    | ~ spl0_82
    | ~ spl0_83
    | spl0_172 ),
    inference(sat_conversion,[],[f1704]) ).

cnf(s399,plain,
    ( ~ spl0_34
    | spl0_105
    | ~ spl0_106
    | ~ spl0_165 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s400,plain,
    ( ~ spl0_34
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f1706]) ).

cnf(s401,plain,
    ( ~ spl0_40
    | spl0_90
    | ~ spl0_91
    | spl0_177 ),
    inference(sat_conversion,[],[f1724]) ).

cnf(s422,plain,
    ( ~ spl0_42
    | spl0_105
    | ~ spl0_106
    | spl0_165 ),
    inference(sat_conversion,[],[f1770]) ).

cnf(s427,plain,
    ( ~ spl0_21
    | spl0_78
    | ~ spl0_80
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s434,plain,
    ( ~ spl0_21
    | spl0_90
    | ~ spl0_92
    | ~ spl0_177 ),
    inference(sat_conversion,[],[f1794]) ).

cnf(s435,plain,
    ( ~ spl0_21
    | spl0_96
    | ~ spl0_98
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f1796]) ).

cnf(s443,plain,
    ( ~ spl0_44
    | spl0_150
    | spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1817]) ).

cnf(s444,plain,
    ( ~ spl0_44
    | spl0_153
    | spl0_154
    | ~ spl0_170 ),
    inference(sat_conversion,[],[f1818]) ).

cnf(s447,plain,
    ( ~ spl0_51
    | spl0_81
    | ~ spl0_83
    | ~ spl0_172 ),
    inference(sat_conversion,[],[f1833]) ).

cnf(s464,plain,
    ( ~ spl0_59
    | spl0_81
    | ~ spl0_82
    | spl0_172 ),
    inference(sat_conversion,[],[f1888]) ).

cnf(s467,plain,
    ( ~ spl0_59
    | spl0_156
    | spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1892]) ).

cnf(s473,plain,
    ( ~ spl0_61
    | spl0_144
    | spl0_145
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1922]) ).

cnf(s477,plain,
    ( ~ spl0_56
    | spl0_108
    | spl0_109
    | ~ spl0_169 ),
    inference(sat_conversion,[],[f1926]) ).

cnf(s508,plain,
    ( ~ spl0_48
    | ~ spl0_72
    | ~ spl0_73
    | spl0_185 ),
    inference(sat_conversion,[],[f2008]) ).

cnf(s526,plain,
    ( ~ spl0_48
    | spl0_61
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f2057]) ).

cnf(s530,plain,
    ( ~ spl0_64
    | spl0_120
    | spl0_121
    | spl0_167 ),
    inference(sat_conversion,[],[f2074]) ).

cnf(s538,plain,
    ( ~ spl0_17
    | ~ spl0_75
    | ~ spl0_77
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2085]) ).

cnf(s541,plain,
    ( ~ spl0_17
    | ~ spl0_21
    | ~ spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f2087]) ).

cnf(s546,plain,
    ( ~ spl0_20
    | spl0_114
    | ~ spl0_116
    | ~ spl0_175 ),
    inference(sat_conversion,[],[f2091]) ).

cnf(s549,plain,
    ( ~ spl0_20
    | spl0_147
    | ~ spl0_149
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2094]) ).

cnf(s551,plain,
    ( ~ spl0_20
    | spl0_96
    | ~ spl0_97
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f2096]) ).

cnf(s574,plain,
    ( ~ spl0_17
    | ~ spl0_72
    | ~ spl0_74
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f2150]) ).

cnf(s578,plain,
    ( ~ spl0_55
    | spl0_96
    | ~ spl0_98
    | spl0_181 ),
    inference(sat_conversion,[],[f2171]) ).

cnf(s580,plain,
    ( ~ spl0_55
    | spl0_150
    | ~ spl0_152
    | spl0_176 ),
    inference(sat_conversion,[],[f2173]) ).

cnf(s585,plain,
    ( ~ spl0_58
    | spl0_153
    | spl0_154
    | spl0_155 ),
    inference(sat_conversion,[],[f2194]) ).

cnf(s596,plain,
    ( ~ spl0_18
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2206]) ).

cnf(s601,plain,
    ( ~ spl0_17
    | spl0_29
    | ~ spl0_32 ),
    inference(sat_conversion,[],[f2210]) ).

cnf(s620,plain,
    ( ~ spl0_23
    | ~ spl0_69
    | ~ spl0_71
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f2228]) ).

cnf(s624,plain,
    ( ~ spl0_37
    | ~ spl0_91
    | ~ spl0_92
    | spl0_177 ),
    inference(sat_conversion,[],[f2232]) ).

cnf(s660,plain,
    ( ~ spl0_48
    | spl0_157
    | ~ spl0_158
    | ~ spl0_166 ),
    inference(sat_conversion,[],[f2269]) ).

cnf(s672,plain,
    ( ~ spl0_58
    | spl0_84
    | spl0_85
    | spl0_178 ),
    inference(sat_conversion,[],[f2283]) ).

cnf(s673,plain,
    ( ~ spl0_37
    | spl0_148
    | ~ spl0_149
    | ~ spl0_182 ),
    inference(sat_conversion,[],[f2287]) ).

cnf(s681,plain,
    ( ~ spl0_24
    | spl0_117
    | ~ spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f2322]) ).

cnf(s686,plain,
    ( ~ spl0_29
    | spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f2335]) ).

cnf(s687,plain,
    ( ~ spl0_29
    | spl0_117
    | ~ spl0_119
    | ~ spl0_168 ),
    inference(sat_conversion,[],[f2336]) ).

cnf(s689,plain,
    ( ~ spl0_48
    | spl0_81
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f2352]) ).

cnf(s693,plain,
    ( ~ spl0_51
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f2367]) ).

cnf(s702,plain,
    ( ~ spl0_65
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2403]) ).

cnf(s704,plain,
    ( ~ spl0_65
    | spl0_157
    | ~ spl0_158
    | spl0_166 ),
    inference(sat_conversion,[],[f2405]) ).

cnf(s705,plain,
    ( ~ spl0_18
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f2406]) ).

cnf(s712,plain,
    ( ~ spl0_32
    | spl0_150
    | spl0_151
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f2412]) ).

cnf(s713,plain,
    ( ~ spl0_32
    | spl0_147
    | ~ spl0_149
    | spl0_182 ),
    inference(sat_conversion,[],[f2413]) ).

cnf(s715,plain,
    ( ~ spl0_32
    | spl0_84
    | spl0_85
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f2415]) ).

cnf(s717,plain,
    ( ~ spl0_53
    | spl0_96
    | ~ spl0_97
    | spl0_181 ),
    inference(sat_conversion,[],[f2417]) ).

cnf(s718,plain,
    ( ~ spl0_53
    | spl0_126
    | spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2418]) ).

cnf(s719,plain,
    ( ~ spl0_53
    | spl0_114
    | ~ spl0_116
    | spl0_175 ),
    inference(sat_conversion,[],[f2419]) ).

cnf(s724,plain,
    ( ~ spl0_63
    | spl0_84
    | spl0_86
    | spl0_178 ),
    inference(sat_conversion,[],[f2424]) ).

cnf(s725,plain,
    ( ~ spl0_64
    | spl0_154
    | spl0_155
    | spl0_170 ),
    inference(sat_conversion,[],[f2425]) ).

cnf(s726,plain,
    ( ~ spl0_64
    | spl0_138
    | spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f2426]) ).

cnf(s728,plain,
    ( ~ spl0_64
    | spl0_108
    | spl0_109
    | spl0_169 ),
    inference(sat_conversion,[],[f2428]) ).

cnf(s733,plain,
    ( ~ spl0_19
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f2455]) ).

cnf(s736,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | ~ spl0_57 ),
    inference(rat,[],[s275,s190,s73,s74,s75]) ).

cnf(s738,plain,
    ( ~ spl0_36
    | ~ spl0_21
    | ~ spl0_53 ),
    inference(rat,[],[s435,s717,s101,s102,s103]) ).

cnf(s739,plain,
    ( spl0_6
    | spl0_45
    | ~ spl0_18
    | spl0_1 ),
    inference(rat,[],[s400,s149,s150,s151,s12,s333,s596,s65,s66,s67,s34,s363,s97,s98,s99,s27,s18,s738,s10,s283,s204,s161,s162,s163,s3,s38,s736,s43,s317,s185,s186,s187,s188,s1]) ).

cnf(s740,plain,
    ( ~ spl0_6
    | ~ spl0_57 ),
    inference(rat,[],[s373,s113,s114,s115]) ).

cnf(s741,plain,
    ( ~ spl0_4
    | ~ spl0_21
    | ~ spl0_45 ),
    inference(rat,[],[s427,s354,s77,s78,s79]) ).

cnf(s742,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s105,s350,s106,s107,s2,s741,s10,s283,s204,s161,s162,s163,s739,s3,s736,s8,s740,s43,s317,s185,s186,s187,s188,s1]) ).

cnf(s746,plain,
    ( ~ spl0_26
    | spl0_17
    | ~ spl0_69
    | ~ spl0_71
    | spl0_1 ),
    inference(rat,[],[s57,s620,s530,s333,s203,s188,s1,s135,s134,s133,s742]) ).

cnf(s747,plain,
    ( ~ spl0_25
    | ~ spl0_34 ),
    inference(rat,[],[s400,s149,s150,s151]) ).

cnf(s748,plain,
    ( spl0_8
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s746,s541,s65,s66,s67,s34,s269,s207,s129,s130,s131,s20,s204,s161,s162,s163,s12,s3,s747,s18,s738,s38,s740,s43,s317,s185,s186,s187,s188,s1]) ).

cnf(s749,plain,
    ( ~ spl0_22
    | ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s434,s401,s93,s94,s95,s26,s444,s725,s177,s178,s179,s33,s36,s362,s447,s398,s81,s82,s83,s216,s133,s134,s135,s742,s747,s18,s738,s38,s740,s57,s193,s74,s255,s275,s75,s43,s317,s185,s186,s187,s188,s1,s73,s748]) ).

cnf(s750,plain,
    ( ~ spl0_35
    | ~ spl0_24 ),
    inference(rat,[],[s681,s129,s130,s131]) ).

cnf(s751,plain,
    ( ~ spl0_7
    | ~ spl0_37 ),
    inference(rat,[],[s204,s161,s162,s163]) ).

cnf(s752,plain,
    ( ~ spl0_16
    | ~ spl0_29 ),
    inference(rat,[],[s686,s109,s110,s111]) ).

cnf(s753,plain,
    ( ~ spl0_21
    | spl0_1 ),
    inference(rat,[],[s434,s624,s93,s94,s95,s26,s444,s725,s177,s178,s179,s7,s752,s20,s750,s196,s11,s749,s57,s193,s255,s275,s73,s74,s75,s748,s43,s317,s185,s186,s187,s188,s1,s216,s133,s134,s135,s742]) ).

cnf(s754,plain,
    ( ~ spl0_50
    | spl0_1 ),
    inference(rat,[],[s546,s719,s125,s127,s38,s740,s43,s317,s185,s186,s187,s10,s753,s188,s1]) ).

cnf(s755,plain,
    ( spl0_56
    | ~ spl0_12
    | spl0_1 ),
    inference(rat,[],[s718,s141,s142,s143,s46,s467,s181,s182,s183,s25,s752,s32,s689,s81,s82,s83,s11,s750,s42,s754,s193,s73,s74,s75,s3,s751,s283,s10,s753,s216,s133,s134,s135,s742,s38,s740,s43]) ).

cnf(s756,plain,
    spl0_1,
    inference(rat,[],[s755,s317,s185,s186,s187,s188,s1]) ).

cnf(s757,plain,
    spl0_12,
    inference(rat,[],[s168,s756]) ).

cnf(s758,plain,
    spl0_146,
    inference(rat,[],[s167,s756]) ).

cnf(s759,plain,
    ~ spl0_145,
    inference(rat,[],[s166,s756]) ).

cnf(s760,plain,
    ~ spl0_144,
    inference(rat,[],[s165,s756]) ).

cnf(s761,plain,
    ~ spl0_61,
    inference(rat,[],[s473,s758,s759,s760]) ).

cnf(s762,plain,
    ( ~ spl0_53
    | ~ spl0_21 ),
    inference(rat,[],[s18,s738,s231,s757,s761]) ).

cnf(s763,plain,
    ( ~ spl0_8
    | ~ spl0_37 ),
    inference(rat,[],[s538,s57,s263,s193,s73,s74,s75,s726,s157,s158,s159,s49,s751,s757,s761]) ).

cnf(s764,plain,
    ( ~ spl0_37
    | ~ spl0_21 ),
    inference(rat,[],[s585,s177,s178,s179,s7,s574,s508,s32,s752,s50,s713,s673,s69,s70,s71,s169,s170,s171,s40,s53,s578,s435,s101,s103,s60,s18,s747,s12,s763,s726,s157,s158,s159,s375,s49,s376,s751,s115,s114,s113,s38,s762,s757,s761]) ).

cnf(s765,plain,
    ( ~ spl0_62
    | ~ spl0_64 ),
    inference(rat,[],[s726,s157,s158,s159]) ).

cnf(s766,plain,
    ( ~ spl0_38
    | ~ spl0_63
    | ~ spl0_32 ),
    inference(rat,[],[s724,s715,s85,s86,s87]) ).

cnf(s767,plain,
    ( ~ spl0_8
    | ~ spl0_21 ),
    inference(rat,[],[s705,s61,s62,s63,s9,s733,s101,s102,s103,s18,s276,s190,s21,s766,s549,s713,s169,s171,s53,s580,s55,s712,s443,s173,s174,s175,s54,s477,s728,s117,s118,s57,s39,s601,s50,s752,s32,s689,s81,s82,s83,s11,s193,s73,s74,s75,s762,s750,s20,s764,s757,s761]) ).

cnf(s768,plain,
    ( spl0_23
    | ~ spl0_21 ),
    inference(rat,[],[s705,s21,s61,s62,s63,s766,s9,s55,s549,s713,s443,s169,s171,s173,s174,s175,s53,s54,s578,s477,s435,s733,s728,s101,s102,s103,s117,s118,s18,s57,s39,s747,s601,s12,s50,s240,s752,s32,s689,s81,s82,s83,s11,s762,s750,s20,s764,s767,s757,s761]) ).

cnf(s769,plain,
    ( spl0_29
    | ~ spl0_21 ),
    inference(rat,[],[s443,s173,s174,s175,s54,s477,s728,s60,s672,s55,s715,s766,s85,s86,s21,s705,s61,s62,s63,s9,s549,s713,s169,s171,s53,s578,s435,s733,s101,s102,s103,s18,s747,s12,s50,s240,s750,s20,s767,s118,s117,s22,s210,s768,s764,s757,s761]) ).

cnf(s770,plain,
    ~ spl0_21,
    inference(rat,[],[s443,s173,s174,s175,s55,s54,s526,s233,s32,s687,s752,s769,s750,s129,s131,s20,s764,s757,s761]) ).

cnf(s771,plain,
    ( spl0_18
    | spl0_23
    | spl0_37 ),
    inference(rat,[],[s443,s173,s174,s175,s54,s477,s728,s117,s118,s39,s718,s141,s142,s143,s46,s55,s464,s766,s447,s21,s52,s57,s601,s50,s752,s32,s689,s81,s82,s83,s11,s750,s20,s757,s761]) ).

cnf(s772,plain,
    ( ~ spl0_10
    | ~ spl0_18 ),
    inference(rat,[],[s705,s61,s62,s63]) ).

cnf(s773,plain,
    ( ~ spl0_8
    | spl0_37 ),
    inference(rat,[],[s549,s713,s169,s171,s53,s578,s551,s9,s772,s733,s101,s102,s103,s18,s276,s190,s771,s50,s752,s32,s689,s81,s82,s83,s11,s193,s73,s74,s75,s750,s20,s757,s761]) ).

cnf(s774,plain,
    ( ~ spl0_36
    | ~ spl0_32
    | spl0_10 ),
    inference(rat,[],[s549,s713,s169,s171,s53,s578,s551,s9,s733,s101,s102,s103,s757,s761]) ).

cnf(s775,plain,
    ( ~ spl0_34
    | spl0_8 ),
    inference(rat,[],[s399,s375,s113,s114,s115,s12,s38,s747,s231,s757,s761]) ).

cnf(s776,plain,
    ( spl0_23
    | spl0_37 ),
    inference(rat,[],[s752,s50,s32,s774,s689,s772,s81,s82,s83,s771,s11,s750,s20,s18,s775,s773,s761,s757]) ).

cnf(s777,plain,
    spl0_37,
    inference(rat,[],[s21,s772,s766,s774,s50,s752,s32,s526,s55,s443,s173,s174,s175,s54,s477,s728,s59,s702,s117,s118,s119,s22,s210,s776,s18,s775,s773,s750,s20,s757,s761,s770]) ).

cnf(s778,plain,
    ~ spl0_7,
    inference(rat,[],[s751,s777]) ).

cnf(s779,plain,
    ~ spl0_8,
    inference(rat,[],[s763,s777]) ).

cnf(s780,plain,
    spl0_6,
    inference(rat,[],[s3,s779,s778]) ).

cnf(s781,plain,
    spl0_62,
    inference(rat,[],[s49,s761,s757,s778]) ).

cnf(s782,plain,
    ~ spl0_34,
    inference(rat,[],[s775,s779]) ).

cnf(s783,plain,
    spl0_107,
    inference(rat,[],[s115,s780]) ).

cnf(s784,plain,
    spl0_106,
    inference(rat,[],[s114,s780]) ).

cnf(s785,plain,
    ~ spl0_105,
    inference(rat,[],[s113,s780]) ).

cnf(s790,plain,
    ~ spl0_64,
    inference(rat,[],[s765,s781]) ).

cnf(s791,plain,
    spl0_36,
    inference(rat,[],[s18,s757,s782]) ).

cnf(s792,plain,
    ~ spl0_165,
    inference(rat,[],[s376,s783,s777,s785]) ).

cnf(s793,plain,
    spl0_65,
    inference(rat,[],[s59,s770,s757,s790]) ).

cnf(s794,plain,
    spl0_58,
    inference(rat,[],[s60,s782,s757,s790]) ).

cnf(s800,plain,
    ~ spl0_42,
    inference(rat,[],[s422,s785,s784,s792]) ).

cnf(s808,plain,
    ( spl0_157
    | ~ spl0_158
    | ~ spl0_48 ),
    inference(rat,[],[s704,s660,s793]) ).

cnf(s809,plain,
    ( ~ spl0_27
    | ~ spl0_48 ),
    inference(rat,[],[s808,s182,s183]) ).

cnf(s810,plain,
    ~ spl0_15,
    inference(rat,[],[s585,s177,s178,s179,s794]) ).

cnf(s811,plain,
    spl0_27,
    inference(rat,[],[s56,s790,s757,s810]) ).

cnf(s815,plain,
    ~ spl0_48,
    inference(rat,[],[s809,s811]) ).

cnf(s818,plain,
    spl0_16,
    inference(rat,[],[s32,s757,s815]) ).

cnf(s822,plain,
    ~ spl0_29,
    inference(rat,[],[s752,s818]) ).

cnf(s823,plain,
    spl0_32,
    inference(rat,[],[s50,s757,s761,s822]) ).

cnf(s826,plain,
    spl0_10,
    inference(rat,[],[s774,s791,s823]) ).

cnf(s831,plain,
    ~ spl0_18,
    inference(rat,[],[s772,s826]) ).

cnf(s832,plain,
    spl0_51,
    inference(rat,[],[s52,s761,s757,s831]) ).

cnf(s844,plain,
    ~ spl0_11,
    inference(rat,[],[s693,s89,s90,s91,s832]) ).

cnf(s845,plain,
    spl0_38,
    inference(rat,[],[s24,s800,s757,s844]) ).

cnf(s847,plain,
    ~ spl0_85,
    inference(rat,[],[s86,s845]) ).

cnf(s848,plain,
    ~ spl0_84,
    inference(rat,[],[s85,s845]) ).

cnf(s850,plain,
    ~ spl0_178,
    inference(rat,[],[s715,s823,s847,s848]) ).

cnf(s851,plain,
    $false,
    inference(rat,[],[s672,s794,s847,s848,s850]) ).

fof(f2458,plain,
    $false,
    inference(avatar_sat_refutation,[],[s851]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN458+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n019.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 16:06:18 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.65/1.00  % (4125681)Detected formulas, will run a generic FOF schedule.
% 0.65/1.00  % (4125692)dis-21_1_sil=8000:lcm=predicate:random_seed=3321339576:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.65/1.00  % (4125692)First to succeed.
% 0.65/1.00  % (4125692)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4125681"
% 0.65/1.00  % (4125691)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4119006466:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.65/1.00  % (4125686)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1319637327:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.65/1.00  % (4125689)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1366118896:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.65/1.00  % (4125687)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1596663699:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.65/1.00  % (4125690)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1171076970:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.65/1.00  % (4125688)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3102756843:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.65/1.00  % (4125689)Also succeeded, but the first one will report.
% 0.65/1.00  % (4125690)Instruction limit reached! 
% 0.65/1.00  % (4125690)------------------------------
% 0.65/1.00  % (4125690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.65/1.00  % (4125690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/1.00  % (4125690)CaDiCaL version: 2.1.3
% 0.65/1.00  % (4125690)Termination reason: Instruction limit
% 0.65/1.00  % (4125690)Termination phase: Saturation
% 0.65/1.00  % (4125690)Time elapsed: 0.057 s
% 0.65/1.00  % (4125690)Peak memory usage: 87 MB
% 0.65/1.00  % (4125690)Instructions burned: 120 (million)
% 0.65/1.00  % (4125691)Also succeeded, but the first one will report.
% 0.65/1.00  % (4125692)Refutation found. Thanks to Tanya!
% 0.65/1.00  % SZS status Theorem for theBenchmark
% 0.65/1.00  % SZS output start Proof for theBenchmark
% See solution above
% 2.90/1.20  % (4125692)------------------------------
% 2.90/1.20  % (4125692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.20  % (4125692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.20  % (4125692)CaDiCaL version: 2.1.3
% 2.90/1.20  % (4125692)Termination reason: Refutation
% 2.90/1.20  % (4125692)Time elapsed: 0.023 s
% 2.90/1.20  % (4125692)Peak memory usage: 90 MB
% 2.90/1.20  % (4125692)Instructions burned: 66 (million)
% 2.90/1.20  % (4125692)------------------------------
% 2.90/1.20  % (4125692)------------------------------
% 2.90/1.20  % (4125681)Success in time 0.323 s
% 2.90/1.20  % Vampire exiting
%------------------------------------------------------------------------------