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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN447+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/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 : Thu Sep 24 03:24:29 PM UTC 2026

% Result   : Theorem 21.90s 3.35s
% Output   : CNFRefutation 21.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  475 (   2 unt;   0 def)
%            Number of atoms       : 5169 (   0 equ)
%            Maximal formula atoms :  970 (  10 avg)
%            Number of connectives : 7010 (2316   ~;3120   |;1260   &)
%                                         (  35 <=>; 279  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  416 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  105 ( 104 usr; 101 prp; 0-1 aty)
%            Number of functors    :   64 (  64 usr;  64 con; 0-0 aty)
%            Number of variables   :  576 (   0 sgn 407   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( hskp63
        | hskp56
        | hskp62 )
      & ( hskp28
        | hskp27
        | hskp43 )
      & ( hskp61
        | ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( c0_1(X92)
              | ~ c1_1(X92)
              | ~ c3_1(X92) ) ) )
      & ( hskp26
        | hskp60
        | ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c1_1(X91)
              | ~ c0_1(X91) ) ) )
      & ( hskp35
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c0_1(X89)
              | ~ c3_1(X89)
              | ~ c2_1(X89) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( c2_1(X88)
              | c0_1(X88)
              | ~ c3_1(X88) ) )
        | hskp59
        | ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | c2_1(X87)
              | ~ c3_1(X87) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c1_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c0_1(X84)
              | ~ c1_1(X84) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | c1_1(X83)
              | c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | c1_1(X82)
              | c3_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c0_1(X81) ) ) )
      & ( hskp14
        | ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | c0_1(X80) ) )
        | hskp48 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | ~ c0_1(X79)
              | c1_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c3_1(X78)
              | ~ c0_1(X78) ) )
        | hskp51 )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c1_1(X77)
              | ~ c2_1(X77) ) )
        | hskp25
        | ! [X76] :
            ( ndr1_0
           => ( c0_1(X76)
              | ~ c1_1(X76)
              | c2_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c0_1(X75)
              | ~ c1_1(X75) ) )
        | hskp36
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | ~ c1_1(X74) ) ) )
      & ( hskp24
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c1_1(X72)
              | c0_1(X72) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | ~ c0_1(X71) ) )
        | hskp23
        | hskp33 )
      & ( hskp58
        | ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | c1_1(X70)
              | ~ c3_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | c2_1(X69) ) ) )
      & ( hskp57
        | ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | ~ c3_1(X68)
              | ~ c2_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | ~ c3_1(X67)
              | ~ c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( c2_1(X66)
              | ~ c1_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c1_1(X65)
              | c3_1(X65)
              | c0_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | c0_1(X64)
              | ~ c1_1(X64) ) ) )
      & ( hskp56
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c2_1(X63)
              | ~ c1_1(X63) ) )
        | hskp22 )
      & ( hskp21
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c2_1(X62)
              | ~ c0_1(X62) ) )
        | hskp55 )
      & ( hskp20
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | ~ c0_1(X61)
              | c1_1(X61) ) )
        | hskp19 )
      & ( hskp18
        | hskp17
        | hskp39 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c3_1(X60)
              | ~ c1_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | ~ c0_1(X59)
              | c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | ~ c2_1(X57)
              | ~ c3_1(X57) ) )
        | hskp47
        | hskp54 )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c1_1(X56)
              | ~ c3_1(X56) ) )
        | hskp53
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | ~ c3_1(X55)
              | ~ c2_1(X55) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | c1_1(X54)
              | ~ c3_1(X54) ) )
        | hskp34
        | hskp52 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c1_1(X53)
              | c3_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c3_1(X52)
              | ~ c0_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c0_1(X51)
              | ~ c2_1(X51) ) ) )
      & ( hskp51
        | hskp50
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp12
        | ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | hskp7 )
      & ( ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c1_1(X48)
              | c3_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | ~ c2_1(X47)
              | c0_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | c1_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c0_1(X45)
              | c2_1(X45)
              | c1_1(X45) ) )
        | hskp1
        | ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | c3_1(X44) ) ) )
      & ( hskp49
        | ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c1_1(X43)
              | c3_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) ) )
      & ( hskp16
        | hskp42
        | ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | c3_1(X41)
              | ~ c1_1(X41) ) ) )
      & ( hskp48
        | hskp36
        | ! [X40] :
            ( ndr1_0
           => ( c3_1(X40)
              | ~ c1_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp33
        | hskp15
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) ) )
      & ( hskp43
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | c0_1(X38)
              | ~ c1_1(X38) ) )
        | hskp10 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | ~ c0_1(X37)
              | ~ c2_1(X37) ) )
        | hskp47
        | ! [X36] :
            ( ndr1_0
           => ( c1_1(X36)
              | ~ c2_1(X36)
              | ~ c0_1(X36) ) ) )
      & ( hskp14
        | hskp38
        | hskp46 )
      & ( hskp45
        | hskp44
        | ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | c3_1(X35)
              | c1_1(X35) ) ) )
      & ( hskp7
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c3_1(X34)
              | ~ c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp43
        | hskp13
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | ~ c2_1(X32)
              | ~ c0_1(X32) ) ) )
      & ( hskp4
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c0_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | ~ c0_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | ~ c3_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | c0_1(X28)
              | c1_1(X28) ) )
        | hskp42 )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | c1_1(X27)
              | ~ c0_1(X27) ) )
        | hskp41
        | hskp40 )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | c2_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | ~ c1_1(X25)
              | ~ c2_1(X25) ) )
        | hskp12 )
      & ( hskp39
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | ~ c3_1(X24)
              | ~ c0_1(X24) ) )
        | hskp11 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | ~ c3_1(X23)
              | ~ c0_1(X23) ) )
        | hskp38
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | ~ c3_1(X22) ) ) )
      & ( hskp10
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c1_1(X20)
              | ~ c3_1(X20)
              | c0_1(X20) ) )
        | hskp9
        | ! [X19] :
            ( ndr1_0
           => ( c2_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp37
        | hskp8
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | ~ c1_1(X18)
              | ~ c3_1(X18) ) ) )
      & ( hskp7
        | hskp36
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | ~ c1_1(X17)
              | c2_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c2_1(X16)
              | c0_1(X16) ) )
        | hskp35
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c0_1(X15)
              | c2_1(X15) ) ) )
      & ( hskp34
        | ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | c1_1(X14)
              | c3_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | ~ c1_1(X13)
              | c2_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | ~ c3_1(X12)
              | ~ c1_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c2_1(X11)
              | ~ c1_1(X11) ) )
        | hskp33 )
      & ( hskp6
        | hskp32
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | ~ c0_1(X10)
              | ~ c1_1(X10) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c2_1(X8)
              | ~ c1_1(X8)
              | ~ c0_1(X8) ) )
        | hskp31 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | ~ c2_1(X7)
              | ~ c0_1(X7) ) )
        | hskp5
        | hskp4 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | ~ c0_1(X6)
              | c1_1(X6) ) )
        | hskp3
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c3_1(X5)
              | c2_1(X5) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c1_1(X4)
              | ~ c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | c3_1(X3) ) )
        | hskp2 )
      & ( hskp1
        | ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c0_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c2_1(X1)
              | ~ c3_1(X1) ) ) )
      & ( hskp30
        | hskp29
        | hskp0 )
      & ( ( c3_1(a1105)
          & c1_1(a1105)
          & ~ c2_1(a1105)
          & ndr1_0 )
        | ~ hskp63 )
      & ( ( c1_1(a1103)
          & c3_1(a1103)
          & c2_1(a1103)
          & ndr1_0 )
        | ~ hskp62 )
      & ( ( c2_1(a1099)
          & ~ c0_1(a1099)
          & ~ c3_1(a1099)
          & ndr1_0 )
        | ~ hskp61 )
      & ( ( c3_1(a1097)
          & ~ c0_1(a1097)
          & c2_1(a1097)
          & ndr1_0 )
        | ~ hskp60 )
      & ( ( c1_1(a1095)
          & ~ c3_1(a1095)
          & ~ c0_1(a1095)
          & ndr1_0 )
        | ~ hskp59 )
      & ( ( c3_1(a1086)
          & c2_1(a1086)
          & ~ c0_1(a1086)
          & ndr1_0 )
        | ~ hskp58 )
      & ( ( c3_1(a1085)
          & c0_1(a1085)
          & c2_1(a1085)
          & ndr1_0 )
        | ~ hskp57 )
      & ( ( c0_1(a1084)
          & ~ c1_1(a1084)
          & ~ c3_1(a1084)
          & ndr1_0 )
        | ~ hskp56 )
      & ( ( c3_1(a1081)
          & ~ c0_1(a1081)
          & c1_1(a1081)
          & ndr1_0 )
        | ~ hskp55 )
      & ( ( c2_1(a1074)
          & c0_1(a1074)
          & c3_1(a1074)
          & ndr1_0 )
        | ~ hskp54 )
      & ( ( c0_1(a1073)
          & c2_1(a1073)
          & c1_1(a1073)
          & ndr1_0 )
        | ~ hskp53 )
      & ( ( c3_1(a1071)
          & c0_1(a1071)
          & c1_1(a1071)
          & ndr1_0 )
        | ~ hskp52 )
      & ( ( c0_1(a1070)
          & ~ c1_1(a1070)
          & c2_1(a1070)
          & ndr1_0 )
        | ~ hskp51 )
      & ( ( c1_1(a1069)
          & c3_1(a1069)
          & ~ c0_1(a1069)
          & ndr1_0 )
        | ~ hskp50 )
      & ( ( c1_1(a1065)
          & ~ c2_1(a1065)
          & ~ c0_1(a1065)
          & ndr1_0 )
        | ~ hskp49 )
      & ( ( c0_1(a1062)
          & c2_1(a1062)
          & c3_1(a1062)
          & ndr1_0 )
        | ~ hskp48 )
      & ( ( c3_1(a1056)
          & c1_1(a1056)
          & c2_1(a1056)
          & ndr1_0 )
        | ~ hskp47 )
      & ( ( c0_1(a1053)
          & ~ c2_1(a1053)
          & ~ c1_1(a1053)
          & ndr1_0 )
        | ~ hskp46 )
      & ( ( c2_1(a1052)
          & c3_1(a1052)
          & c0_1(a1052)
          & ndr1_0 )
        | ~ hskp45 )
      & ( ( c0_1(a1051)
          & ~ c2_1(a1051)
          & c1_1(a1051)
          & ndr1_0 )
        | ~ hskp44 )
      & ( ( c1_1(a1049)
          & c2_1(a1049)
          & c0_1(a1049)
          & ndr1_0 )
        | ~ hskp43 )
      & ( ( c0_1(a1046)
          & c1_1(a1046)
          & ~ c2_1(a1046)
          & ndr1_0 )
        | ~ hskp42 )
      & ( ( c3_1(a1045)
          & ~ c0_1(a1045)
          & ~ c1_1(a1045)
          & ndr1_0 )
        | ~ hskp41 )
      & ( ( c0_1(a1044)
          & c3_1(a1044)
          & ~ c1_1(a1044)
          & ndr1_0 )
        | ~ hskp40 )
      & ( ( c2_1(a1042)
          & ~ c1_1(a1042)
          & c0_1(a1042)
          & ndr1_0 )
        | ~ hskp39 )
      & ( ( c2_1(a1040)
          & c3_1(a1040)
          & c1_1(a1040)
          & ndr1_0 )
        | ~ hskp38 )
      & ( ( c3_1(a1037)
          & c0_1(a1037)
          & ~ c1_1(a1037)
          & ndr1_0 )
        | ~ hskp37 )
      & ( ( c1_1(a1034)
          & ~ c0_1(a1034)
          & c3_1(a1034)
          & ndr1_0 )
        | ~ hskp36 )
      & ( ( c3_1(a1033)
          & c1_1(a1033)
          & c0_1(a1033)
          & ndr1_0 )
        | ~ hskp35 )
      & ( ( c3_1(a1032)
          & ~ c1_1(a1032)
          & ~ c2_1(a1032)
          & ndr1_0 )
        | ~ hskp34 )
      & ( ( c2_1(a1031)
          & ~ c1_1(a1031)
          & c3_1(a1031)
          & ndr1_0 )
        | ~ hskp33 )
      & ( ( c2_1(a1029)
          & c1_1(a1029)
          & ~ c0_1(a1029)
          & ndr1_0 )
        | ~ hskp32 )
      & ( ( c3_1(a1028)
          & ~ c1_1(a1028)
          & c0_1(a1028)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c1_1(a1022)
          & c3_1(a1022)
          & ~ c2_1(a1022)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a1021)
          & ~ c3_1(a1021)
          & ~ c1_1(a1021)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( ~ c1_1(a1102)
          & c2_1(a1102)
          & ~ c0_1(a1102)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c0_1(a1101)
          & c1_1(a1101)
          & c3_1(a1101)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c0_1(a1098)
          & c1_1(a1098)
          & ~ c3_1(a1098)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a1091)
          & ~ c0_1(a1091)
          & ~ c3_1(a1091)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a1089)
          & c0_1(a1089)
          & ~ c2_1(a1089)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a1088)
          & c3_1(a1088)
          & c1_1(a1088)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a1083)
          & c3_1(a1083)
          & c2_1(a1083)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c0_1(a1082)
          & ~ c2_1(a1082)
          & ~ c3_1(a1082)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c1_1(a1080)
          & ~ c2_1(a1080)
          & ~ c0_1(a1080)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a1079)
          & ~ c0_1(a1079)
          & c1_1(a1079)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a1078)
          & c0_1(a1078)
          & c2_1(a1078)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a1077)
          & c3_1(a1077)
          & ~ c0_1(a1077)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a1064)
          & c0_1(a1064)
          & c2_1(a1064)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a1059)
          & c2_1(a1059)
          & c3_1(a1059)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a1055)
          & ~ c1_1(a1055)
          & ~ c0_1(a1055)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a1048)
          & c3_1(a1048)
          & c0_1(a1048)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a1043)
          & c0_1(a1043)
          & ~ c1_1(a1043)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a1041)
          & c1_1(a1041)
          & ~ c3_1(a1041)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a1039)
          & ~ c2_1(a1039)
          & c1_1(a1039)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c0_1(a1038)
          & c2_1(a1038)
          & ~ c1_1(a1038)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a1036)
          & ~ c3_1(a1036)
          & c0_1(a1036)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a1035)
          & c1_1(a1035)
          & c0_1(a1035)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a1030)
          & ~ c3_1(a1030)
          & ~ c2_1(a1030)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a1027)
          & c2_1(a1027)
          & c1_1(a1027)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a1026)
          & ~ c2_1(a1026)
          & c0_1(a1026)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a1025)
          & ~ c3_1(a1025)
          & ~ c0_1(a1025)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a1024)
          & c1_1(a1024)
          & c2_1(a1024)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a1023)
          & ~ c1_1(a1023)
          & c2_1(a1023)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1020)
          & ~ c1_1(a1020)
          & c0_1(a1020)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( hskp63
          | hskp56
          | hskp62 )
        & ( hskp28
          | hskp27
          | hskp43 )
        & ( hskp61
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c0_1(X92)
                | ~ c1_1(X92)
                | ~ c3_1(X92) ) ) )
        & ( hskp26
          | hskp60
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c1_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp35
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c0_1(X89)
                | ~ c3_1(X89)
                | ~ c2_1(X89) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c0_1(X88)
                | ~ c3_1(X88) ) )
          | hskp59
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c2_1(X87)
                | ~ c3_1(X87) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c1_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c1_1(X82)
                | c3_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp14
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) )
          | hskp48 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c3_1(X78)
                | ~ c0_1(X78) ) )
          | hskp51 )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | ~ c2_1(X77) ) )
          | hskp25
          | ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c1_1(X76)
                | c2_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c0_1(X75)
                | ~ c1_1(X75) ) )
          | hskp36
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | ~ c1_1(X74) ) ) )
        & ( hskp24
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c0_1(X71) ) )
          | hskp23
          | hskp33 )
        & ( hskp58
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c1_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | c2_1(X69) ) ) )
        & ( hskp57
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c3_1(X68)
                | ~ c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | ~ c3_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | ~ c1_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c0_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( hskp56
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | ~ c1_1(X63) ) )
          | hskp22 )
        & ( hskp21
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | ~ c0_1(X62) ) )
          | hskp55 )
        & ( hskp20
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c0_1(X61)
                | c1_1(X61) ) )
          | hskp19 )
        & ( hskp18
          | hskp17
          | hskp39 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | ~ c1_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp47
          | hskp54 )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c1_1(X56)
                | ~ c3_1(X56) ) )
          | hskp53
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c3_1(X55)
                | ~ c2_1(X55) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c1_1(X54)
                | ~ c3_1(X54) ) )
          | hskp34
          | hskp52 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c1_1(X53)
                | c3_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c0_1(X51)
                | ~ c2_1(X51) ) ) )
        & ( hskp51
          | hskp50
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp12
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | hskp7 )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c1_1(X48)
                | c3_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) )
          | hskp1
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | c3_1(X44) ) ) )
        & ( hskp49
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c1_1(X43)
                | c3_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) ) )
        & ( hskp16
          | hskp42
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | c3_1(X41)
                | ~ c1_1(X41) ) ) )
        & ( hskp48
          | hskp36
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp33
          | hskp15
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) ) )
        & ( hskp43
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c0_1(X38)
                | ~ c1_1(X38) ) )
          | hskp10 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c0_1(X37)
                | ~ c2_1(X37) ) )
          | hskp47
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | ~ c2_1(X36)
                | ~ c0_1(X36) ) ) )
        & ( hskp14
          | hskp38
          | hskp46 )
        & ( hskp45
          | hskp44
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp7
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c3_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp43
          | hskp13
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | ~ c2_1(X32)
                | ~ c0_1(X32) ) ) )
        & ( hskp4
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | ~ c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c3_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c0_1(X28)
                | c1_1(X28) ) )
          | hskp42 )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c1_1(X27)
                | ~ c0_1(X27) ) )
          | hskp41
          | hskp40 )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c2_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c1_1(X25)
                | ~ c2_1(X25) ) )
          | hskp12 )
        & ( hskp39
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c3_1(X24)
                | ~ c0_1(X24) ) )
          | hskp11 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c3_1(X23)
                | ~ c0_1(X23) ) )
          | hskp38
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | ~ c3_1(X22) ) ) )
        & ( hskp10
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | ~ c3_1(X20)
                | c0_1(X20) ) )
          | hskp9
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp37
          | hskp8
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | ~ c1_1(X18)
                | ~ c3_1(X18) ) ) )
        & ( hskp7
          | hskp36
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c1_1(X17)
                | c2_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) )
          | hskp35
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp34
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | ~ c1_1(X13)
                | c2_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c3_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c2_1(X11)
                | ~ c1_1(X11) ) )
          | hskp33 )
        & ( hskp6
          | hskp32
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c0_1(X10)
                | ~ c1_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | hskp31 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | ~ c2_1(X7)
                | ~ c0_1(X7) ) )
          | hskp5
          | hskp4 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | ~ c0_1(X6)
                | c1_1(X6) ) )
          | hskp3
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | c3_1(X3) ) )
          | hskp2 )
        & ( hskp1
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c2_1(X1)
                | ~ c3_1(X1) ) ) )
        & ( hskp30
          | hskp29
          | hskp0 )
        & ( ( c3_1(a1105)
            & c1_1(a1105)
            & ~ c2_1(a1105)
            & ndr1_0 )
          | ~ hskp63 )
        & ( ( c1_1(a1103)
            & c3_1(a1103)
            & c2_1(a1103)
            & ndr1_0 )
          | ~ hskp62 )
        & ( ( c2_1(a1099)
            & ~ c0_1(a1099)
            & ~ c3_1(a1099)
            & ndr1_0 )
          | ~ hskp61 )
        & ( ( c3_1(a1097)
            & ~ c0_1(a1097)
            & c2_1(a1097)
            & ndr1_0 )
          | ~ hskp60 )
        & ( ( c1_1(a1095)
            & ~ c3_1(a1095)
            & ~ c0_1(a1095)
            & ndr1_0 )
          | ~ hskp59 )
        & ( ( c3_1(a1086)
            & c2_1(a1086)
            & ~ c0_1(a1086)
            & ndr1_0 )
          | ~ hskp58 )
        & ( ( c3_1(a1085)
            & c0_1(a1085)
            & c2_1(a1085)
            & ndr1_0 )
          | ~ hskp57 )
        & ( ( c0_1(a1084)
            & ~ c1_1(a1084)
            & ~ c3_1(a1084)
            & ndr1_0 )
          | ~ hskp56 )
        & ( ( c3_1(a1081)
            & ~ c0_1(a1081)
            & c1_1(a1081)
            & ndr1_0 )
          | ~ hskp55 )
        & ( ( c2_1(a1074)
            & c0_1(a1074)
            & c3_1(a1074)
            & ndr1_0 )
          | ~ hskp54 )
        & ( ( c0_1(a1073)
            & c2_1(a1073)
            & c1_1(a1073)
            & ndr1_0 )
          | ~ hskp53 )
        & ( ( c3_1(a1071)
            & c0_1(a1071)
            & c1_1(a1071)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c0_1(a1070)
            & ~ c1_1(a1070)
            & c2_1(a1070)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c1_1(a1069)
            & c3_1(a1069)
            & ~ c0_1(a1069)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c1_1(a1065)
            & ~ c2_1(a1065)
            & ~ c0_1(a1065)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c0_1(a1062)
            & c2_1(a1062)
            & c3_1(a1062)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c3_1(a1056)
            & c1_1(a1056)
            & c2_1(a1056)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c0_1(a1053)
            & ~ c2_1(a1053)
            & ~ c1_1(a1053)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c2_1(a1052)
            & c3_1(a1052)
            & c0_1(a1052)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c0_1(a1051)
            & ~ c2_1(a1051)
            & c1_1(a1051)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c1_1(a1049)
            & c2_1(a1049)
            & c0_1(a1049)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c0_1(a1046)
            & c1_1(a1046)
            & ~ c2_1(a1046)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( c3_1(a1045)
            & ~ c0_1(a1045)
            & ~ c1_1(a1045)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( c0_1(a1044)
            & c3_1(a1044)
            & ~ c1_1(a1044)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( c2_1(a1042)
            & ~ c1_1(a1042)
            & c0_1(a1042)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( c2_1(a1040)
            & c3_1(a1040)
            & c1_1(a1040)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( c3_1(a1037)
            & c0_1(a1037)
            & ~ c1_1(a1037)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( c1_1(a1034)
            & ~ c0_1(a1034)
            & c3_1(a1034)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( c3_1(a1033)
            & c1_1(a1033)
            & c0_1(a1033)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( c3_1(a1032)
            & ~ c1_1(a1032)
            & ~ c2_1(a1032)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( c2_1(a1031)
            & ~ c1_1(a1031)
            & c3_1(a1031)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( c2_1(a1029)
            & c1_1(a1029)
            & ~ c0_1(a1029)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( c3_1(a1028)
            & ~ c1_1(a1028)
            & c0_1(a1028)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c1_1(a1022)
            & c3_1(a1022)
            & ~ c2_1(a1022)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a1021)
            & ~ c3_1(a1021)
            & ~ c1_1(a1021)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( ~ c1_1(a1102)
            & c2_1(a1102)
            & ~ c0_1(a1102)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a1101)
            & c1_1(a1101)
            & c3_1(a1101)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a1098)
            & c1_1(a1098)
            & ~ c3_1(a1098)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a1091)
            & ~ c0_1(a1091)
            & ~ c3_1(a1091)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a1089)
            & c0_1(a1089)
            & ~ c2_1(a1089)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a1088)
            & c3_1(a1088)
            & c1_1(a1088)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a1083)
            & c3_1(a1083)
            & c2_1(a1083)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c0_1(a1082)
            & ~ c2_1(a1082)
            & ~ c3_1(a1082)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a1080)
            & ~ c2_1(a1080)
            & ~ c0_1(a1080)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a1079)
            & ~ c0_1(a1079)
            & c1_1(a1079)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a1078)
            & c0_1(a1078)
            & c2_1(a1078)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a1077)
            & c3_1(a1077)
            & ~ c0_1(a1077)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1064)
            & c0_1(a1064)
            & c2_1(a1064)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a1059)
            & c2_1(a1059)
            & c3_1(a1059)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1055)
            & ~ c1_1(a1055)
            & ~ c0_1(a1055)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a1048)
            & c3_1(a1048)
            & c0_1(a1048)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a1043)
            & c0_1(a1043)
            & ~ c1_1(a1043)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a1041)
            & c1_1(a1041)
            & ~ c3_1(a1041)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a1039)
            & ~ c2_1(a1039)
            & c1_1(a1039)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a1038)
            & c2_1(a1038)
            & ~ c1_1(a1038)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1036)
            & ~ c3_1(a1036)
            & c0_1(a1036)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a1035)
            & c1_1(a1035)
            & c0_1(a1035)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a1030)
            & ~ c3_1(a1030)
            & ~ c2_1(a1030)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1027)
            & c2_1(a1027)
            & c1_1(a1027)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a1026)
            & ~ c2_1(a1026)
            & c0_1(a1026)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1025)
            & ~ c3_1(a1025)
            & ~ c0_1(a1025)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a1024)
            & c1_1(a1024)
            & c2_1(a1024)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a1023)
            & ~ c1_1(a1023)
            & c2_1(a1023)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1020)
            & ~ c1_1(a1020)
            & c0_1(a1020)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ( ( hskp63
          | hskp56
          | hskp62 )
        & ( hskp28
          | hskp27
          | hskp43 )
        & ( hskp61
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c0_1(X92)
                | ~ c1_1(X92)
                | ~ c3_1(X92) ) ) )
        & ( hskp26
          | hskp60
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c1_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp35
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c0_1(X89)
                | ~ c3_1(X89)
                | ~ c2_1(X89) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( c2_1(X88)
                | c0_1(X88)
                | ~ c3_1(X88) ) )
          | hskp59
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c2_1(X87)
                | ~ c3_1(X87) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c1_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c1_1(X82)
                | c3_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp14
          | ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) )
          | hskp48 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c3_1(X78)
                | ~ c0_1(X78) ) )
          | hskp51 )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | ~ c2_1(X77) ) )
          | hskp25
          | ! [X76] :
              ( ndr1_0
             => ( c0_1(X76)
                | ~ c1_1(X76)
                | c2_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c0_1(X75)
                | ~ c1_1(X75) ) )
          | hskp36
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | ~ c1_1(X74) ) ) )
        & ( hskp24
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c0_1(X71) ) )
          | hskp23
          | hskp33 )
        & ( hskp58
          | ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | c1_1(X70)
                | ~ c3_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | c2_1(X69) ) ) )
        & ( hskp57
          | ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | ~ c3_1(X68)
                | ~ c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | ~ c3_1(X67)
                | ~ c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c2_1(X66)
                | ~ c1_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c1_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | c0_1(X64)
                | ~ c1_1(X64) ) ) )
        & ( hskp56
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | ~ c1_1(X63) ) )
          | hskp22 )
        & ( hskp21
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | ~ c0_1(X62) ) )
          | hskp55 )
        & ( hskp20
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c0_1(X61)
                | c1_1(X61) ) )
          | hskp19 )
        & ( hskp18
          | hskp17
          | hskp39 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | ~ c1_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp47
          | hskp54 )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c1_1(X56)
                | ~ c3_1(X56) ) )
          | hskp53
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c3_1(X55)
                | ~ c2_1(X55) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c1_1(X54)
                | ~ c3_1(X54) ) )
          | hskp34
          | hskp52 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c1_1(X53)
                | c3_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c0_1(X51)
                | ~ c2_1(X51) ) ) )
        & ( hskp51
          | hskp50
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp12
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | hskp7 )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c1_1(X48)
                | c3_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) )
          | hskp1
          | ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | c3_1(X44) ) ) )
        & ( hskp49
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c1_1(X43)
                | c3_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) ) )
        & ( hskp16
          | hskp42
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | c3_1(X41)
                | ~ c1_1(X41) ) ) )
        & ( hskp48
          | hskp36
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp33
          | hskp15
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) ) )
        & ( hskp43
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c0_1(X38)
                | ~ c1_1(X38) ) )
          | hskp10 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | ~ c0_1(X37)
                | ~ c2_1(X37) ) )
          | hskp47
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | ~ c2_1(X36)
                | ~ c0_1(X36) ) ) )
        & ( hskp14
          | hskp38
          | hskp46 )
        & ( hskp45
          | hskp44
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp7
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c3_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp43
          | hskp13
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | ~ c2_1(X32)
                | ~ c0_1(X32) ) ) )
        & ( hskp4
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | ~ c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c3_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c0_1(X28)
                | c1_1(X28) ) )
          | hskp42 )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c1_1(X27)
                | ~ c0_1(X27) ) )
          | hskp41
          | hskp40 )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c2_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c1_1(X25)
                | ~ c2_1(X25) ) )
          | hskp12 )
        & ( hskp39
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | ~ c3_1(X24)
                | ~ c0_1(X24) ) )
          | hskp11 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c3_1(X23)
                | ~ c0_1(X23) ) )
          | hskp38
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | ~ c3_1(X22) ) ) )
        & ( hskp10
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | ~ c3_1(X20)
                | c0_1(X20) ) )
          | hskp9
          | ! [X19] :
              ( ndr1_0
             => ( c2_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp37
          | hskp8
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | ~ c1_1(X18)
                | ~ c3_1(X18) ) ) )
        & ( hskp7
          | hskp36
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c1_1(X17)
                | c2_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) )
          | hskp35
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp34
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c1_1(X14)
                | c3_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | ~ c1_1(X13)
                | c2_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c3_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c2_1(X11)
                | ~ c1_1(X11) ) )
          | hskp33 )
        & ( hskp6
          | hskp32
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c0_1(X10)
                | ~ c1_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c2_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | hskp31 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | ~ c2_1(X7)
                | ~ c0_1(X7) ) )
          | hskp5
          | hskp4 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | ~ c0_1(X6)
                | c1_1(X6) ) )
          | hskp3
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | c3_1(X3) ) )
          | hskp2 )
        & ( hskp1
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c2_1(X1)
                | ~ c3_1(X1) ) ) )
        & ( hskp30
          | hskp29
          | hskp0 )
        & ( ( c3_1(a1105)
            & c1_1(a1105)
            & ~ c2_1(a1105)
            & ndr1_0 )
          | ~ hskp63 )
        & ( ( c1_1(a1103)
            & c3_1(a1103)
            & c2_1(a1103)
            & ndr1_0 )
          | ~ hskp62 )
        & ( ( c2_1(a1099)
            & ~ c0_1(a1099)
            & ~ c3_1(a1099)
            & ndr1_0 )
          | ~ hskp61 )
        & ( ( c3_1(a1097)
            & ~ c0_1(a1097)
            & c2_1(a1097)
            & ndr1_0 )
          | ~ hskp60 )
        & ( ( c1_1(a1095)
            & ~ c3_1(a1095)
            & ~ c0_1(a1095)
            & ndr1_0 )
          | ~ hskp59 )
        & ( ( c3_1(a1086)
            & c2_1(a1086)
            & ~ c0_1(a1086)
            & ndr1_0 )
          | ~ hskp58 )
        & ( ( c3_1(a1085)
            & c0_1(a1085)
            & c2_1(a1085)
            & ndr1_0 )
          | ~ hskp57 )
        & ( ( c0_1(a1084)
            & ~ c1_1(a1084)
            & ~ c3_1(a1084)
            & ndr1_0 )
          | ~ hskp56 )
        & ( ( c3_1(a1081)
            & ~ c0_1(a1081)
            & c1_1(a1081)
            & ndr1_0 )
          | ~ hskp55 )
        & ( ( c2_1(a1074)
            & c0_1(a1074)
            & c3_1(a1074)
            & ndr1_0 )
          | ~ hskp54 )
        & ( ( c0_1(a1073)
            & c2_1(a1073)
            & c1_1(a1073)
            & ndr1_0 )
          | ~ hskp53 )
        & ( ( c3_1(a1071)
            & c0_1(a1071)
            & c1_1(a1071)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c0_1(a1070)
            & ~ c1_1(a1070)
            & c2_1(a1070)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c1_1(a1069)
            & c3_1(a1069)
            & ~ c0_1(a1069)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c1_1(a1065)
            & ~ c2_1(a1065)
            & ~ c0_1(a1065)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c0_1(a1062)
            & c2_1(a1062)
            & c3_1(a1062)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c3_1(a1056)
            & c1_1(a1056)
            & c2_1(a1056)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c0_1(a1053)
            & ~ c2_1(a1053)
            & ~ c1_1(a1053)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c2_1(a1052)
            & c3_1(a1052)
            & c0_1(a1052)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c0_1(a1051)
            & ~ c2_1(a1051)
            & c1_1(a1051)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c1_1(a1049)
            & c2_1(a1049)
            & c0_1(a1049)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c0_1(a1046)
            & c1_1(a1046)
            & ~ c2_1(a1046)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( c3_1(a1045)
            & ~ c0_1(a1045)
            & ~ c1_1(a1045)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( c0_1(a1044)
            & c3_1(a1044)
            & ~ c1_1(a1044)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( c2_1(a1042)
            & ~ c1_1(a1042)
            & c0_1(a1042)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( c2_1(a1040)
            & c3_1(a1040)
            & c1_1(a1040)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( c3_1(a1037)
            & c0_1(a1037)
            & ~ c1_1(a1037)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( c1_1(a1034)
            & ~ c0_1(a1034)
            & c3_1(a1034)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( c3_1(a1033)
            & c1_1(a1033)
            & c0_1(a1033)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( c3_1(a1032)
            & ~ c1_1(a1032)
            & ~ c2_1(a1032)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( c2_1(a1031)
            & ~ c1_1(a1031)
            & c3_1(a1031)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( c2_1(a1029)
            & c1_1(a1029)
            & ~ c0_1(a1029)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( c3_1(a1028)
            & ~ c1_1(a1028)
            & c0_1(a1028)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c1_1(a1022)
            & c3_1(a1022)
            & ~ c2_1(a1022)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a1021)
            & ~ c3_1(a1021)
            & ~ c1_1(a1021)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( ~ c1_1(a1102)
            & c2_1(a1102)
            & ~ c0_1(a1102)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a1101)
            & c1_1(a1101)
            & c3_1(a1101)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a1098)
            & c1_1(a1098)
            & ~ c3_1(a1098)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a1091)
            & ~ c0_1(a1091)
            & ~ c3_1(a1091)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a1089)
            & c0_1(a1089)
            & ~ c2_1(a1089)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a1088)
            & c3_1(a1088)
            & c1_1(a1088)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a1083)
            & c3_1(a1083)
            & c2_1(a1083)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c0_1(a1082)
            & ~ c2_1(a1082)
            & ~ c3_1(a1082)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a1080)
            & ~ c2_1(a1080)
            & ~ c0_1(a1080)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a1079)
            & ~ c0_1(a1079)
            & c1_1(a1079)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a1078)
            & c0_1(a1078)
            & c2_1(a1078)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a1077)
            & c3_1(a1077)
            & ~ c0_1(a1077)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a1064)
            & c0_1(a1064)
            & c2_1(a1064)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a1059)
            & c2_1(a1059)
            & c3_1(a1059)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a1055)
            & ~ c1_1(a1055)
            & ~ c0_1(a1055)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a1048)
            & c3_1(a1048)
            & c0_1(a1048)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a1043)
            & c0_1(a1043)
            & ~ c1_1(a1043)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a1041)
            & c1_1(a1041)
            & ~ c3_1(a1041)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a1039)
            & ~ c2_1(a1039)
            & c1_1(a1039)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a1038)
            & c2_1(a1038)
            & ~ c1_1(a1038)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a1036)
            & ~ c3_1(a1036)
            & c0_1(a1036)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a1035)
            & c1_1(a1035)
            & c0_1(a1035)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a1030)
            & ~ c3_1(a1030)
            & ~ c2_1(a1030)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a1027)
            & c2_1(a1027)
            & c1_1(a1027)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a1026)
            & ~ c2_1(a1026)
            & c0_1(a1026)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a1025)
            & ~ c3_1(a1025)
            & ~ c0_1(a1025)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a1024)
            & c1_1(a1024)
            & c2_1(a1024)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a1023)
            & ~ c1_1(a1023)
            & c2_1(a1023)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1020)
            & ~ c1_1(a1020)
            & c0_1(a1020)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ! [X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186] :
      ( ( hskp63
        | hskp56
        | hskp62 )
      & ( hskp28
        | hskp27
        | hskp43 )
      & ( hskp61
        | c2_1(X186)
        | c3_1(X186)
        | ~ c1_1(X186)
        | ~ ndr1_0
        | c0_1(X185)
        | ~ c1_1(X185)
        | ~ c3_1(X185)
        | ~ ndr1_0 )
      & ( hskp26
        | hskp60
        | c2_1(X184)
        | c1_1(X184)
        | ~ c0_1(X184)
        | ~ ndr1_0 )
      & ( hskp35
        | ~ c1_1(X183)
        | c3_1(X183)
        | c2_1(X183)
        | ~ ndr1_0
        | c0_1(X182)
        | ~ c3_1(X182)
        | ~ c2_1(X182)
        | ~ ndr1_0 )
      & ( c2_1(X181)
        | c0_1(X181)
        | ~ c3_1(X181)
        | ~ ndr1_0
        | hskp59
        | ~ c1_1(X180)
        | c2_1(X180)
        | ~ c3_1(X180)
        | ~ ndr1_0 )
      & ( ~ c2_1(X179)
        | ~ c1_1(X179)
        | ~ c0_1(X179)
        | ~ ndr1_0
        | ~ c3_1(X178)
        | ~ c0_1(X178)
        | ~ c2_1(X178)
        | ~ ndr1_0
        | ~ c2_1(X177)
        | ~ c0_1(X177)
        | ~ c1_1(X177)
        | ~ ndr1_0 )
      & ( c2_1(X176)
        | c1_1(X176)
        | c0_1(X176)
        | ~ ndr1_0
        | ~ c2_1(X175)
        | c1_1(X175)
        | c3_1(X175)
        | ~ ndr1_0
        | ~ c3_1(X174)
        | ~ c2_1(X174)
        | c0_1(X174)
        | ~ ndr1_0 )
      & ( hskp14
        | c1_1(X173)
        | c2_1(X173)
        | c0_1(X173)
        | ~ ndr1_0
        | hskp48 )
      & ( c2_1(X172)
        | ~ c0_1(X172)
        | c1_1(X172)
        | ~ ndr1_0
        | ~ c2_1(X171)
        | ~ c3_1(X171)
        | ~ c0_1(X171)
        | ~ ndr1_0
        | hskp51 )
      & ( ~ c3_1(X170)
        | ~ c1_1(X170)
        | ~ c2_1(X170)
        | ~ ndr1_0
        | hskp25
        | c0_1(X169)
        | ~ c1_1(X169)
        | c2_1(X169)
        | ~ ndr1_0 )
      & ( ~ c3_1(X168)
        | c0_1(X168)
        | ~ c1_1(X168)
        | ~ ndr1_0
        | hskp36
        | ~ c3_1(X167)
        | ~ c2_1(X167)
        | ~ c1_1(X167)
        | ~ ndr1_0 )
      & ( hskp24
        | c3_1(X166)
        | c0_1(X166)
        | c1_1(X166)
        | ~ ndr1_0
        | ~ c3_1(X165)
        | ~ c1_1(X165)
        | c0_1(X165)
        | ~ ndr1_0 )
      & ( ~ c3_1(X164)
        | ~ c2_1(X164)
        | ~ c0_1(X164)
        | ~ ndr1_0
        | hskp23
        | hskp33 )
      & ( hskp58
        | c2_1(X163)
        | c1_1(X163)
        | ~ c3_1(X163)
        | ~ ndr1_0
        | ~ c3_1(X162)
        | ~ c1_1(X162)
        | c2_1(X162)
        | ~ ndr1_0 )
      & ( hskp57
        | c1_1(X161)
        | ~ c3_1(X161)
        | ~ c2_1(X161)
        | ~ ndr1_0
        | c2_1(X160)
        | ~ c3_1(X160)
        | ~ c0_1(X160)
        | ~ ndr1_0 )
      & ( c2_1(X159)
        | ~ c1_1(X159)
        | c3_1(X159)
        | ~ ndr1_0
        | c1_1(X158)
        | c3_1(X158)
        | c0_1(X158)
        | ~ ndr1_0
        | c2_1(X157)
        | c0_1(X157)
        | ~ c1_1(X157)
        | ~ ndr1_0 )
      & ( hskp56
        | ~ c3_1(X156)
        | c2_1(X156)
        | ~ c1_1(X156)
        | ~ ndr1_0
        | hskp22 )
      & ( hskp21
        | c1_1(X155)
        | c2_1(X155)
        | ~ c0_1(X155)
        | ~ ndr1_0
        | hskp55 )
      & ( hskp20
        | c3_1(X154)
        | ~ c0_1(X154)
        | c1_1(X154)
        | ~ ndr1_0
        | hskp19 )
      & ( hskp18
        | hskp17
        | hskp39 )
      & ( c3_1(X153)
        | ~ c1_1(X153)
        | ~ c0_1(X153)
        | ~ ndr1_0
        | c1_1(X152)
        | ~ c0_1(X152)
        | c3_1(X152)
        | ~ ndr1_0
        | ~ c3_1(X151)
        | ~ c1_1(X151)
        | ~ c2_1(X151)
        | ~ ndr1_0 )
      & ( ~ c1_1(X150)
        | ~ c2_1(X150)
        | ~ c3_1(X150)
        | ~ ndr1_0
        | hskp47
        | hskp54 )
      & ( ~ c2_1(X149)
        | c1_1(X149)
        | ~ c3_1(X149)
        | ~ ndr1_0
        | hskp53
        | ~ c0_1(X148)
        | ~ c3_1(X148)
        | ~ c2_1(X148)
        | ~ ndr1_0 )
      & ( ~ c0_1(X147)
        | c1_1(X147)
        | ~ c3_1(X147)
        | ~ ndr1_0
        | hskp34
        | hskp52 )
      & ( c2_1(X146)
        | c1_1(X146)
        | c3_1(X146)
        | ~ ndr1_0
        | c1_1(X145)
        | c3_1(X145)
        | ~ c0_1(X145)
        | ~ ndr1_0
        | c1_1(X144)
        | c0_1(X144)
        | ~ c2_1(X144)
        | ~ ndr1_0 )
      & ( hskp51
        | hskp50
        | ~ c1_1(X143)
        | ~ c2_1(X143)
        | c0_1(X143)
        | ~ ndr1_0 )
      & ( hskp12
        | c3_1(X142)
        | ~ c1_1(X142)
        | ~ c2_1(X142)
        | ~ ndr1_0
        | hskp7 )
      & ( ~ c2_1(X141)
        | c1_1(X141)
        | c3_1(X141)
        | ~ ndr1_0
        | c1_1(X140)
        | ~ c2_1(X140)
        | c0_1(X140)
        | ~ ndr1_0
        | c0_1(X139)
        | c3_1(X139)
        | c1_1(X139)
        | ~ ndr1_0 )
      & ( ~ c0_1(X138)
        | c2_1(X138)
        | c1_1(X138)
        | ~ ndr1_0
        | hskp1
        | c0_1(X137)
        | c2_1(X137)
        | c3_1(X137)
        | ~ ndr1_0 )
      & ( hskp49
        | c0_1(X136)
        | c1_1(X136)
        | c3_1(X136)
        | ~ ndr1_0
        | ~ c0_1(X135)
        | c2_1(X135)
        | ~ c3_1(X135)
        | ~ ndr1_0 )
      & ( hskp16
        | hskp42
        | c2_1(X134)
        | c3_1(X134)
        | ~ c1_1(X134)
        | ~ ndr1_0 )
      & ( hskp48
        | hskp36
        | c3_1(X133)
        | ~ c1_1(X133)
        | c0_1(X133)
        | ~ ndr1_0 )
      & ( hskp33
        | hskp15
        | c0_1(X132)
        | c2_1(X132)
        | ~ c3_1(X132)
        | ~ ndr1_0 )
      & ( hskp43
        | ~ c2_1(X131)
        | c0_1(X131)
        | ~ c1_1(X131)
        | ~ ndr1_0
        | hskp10 )
      & ( c3_1(X130)
        | ~ c0_1(X130)
        | ~ c2_1(X130)
        | ~ ndr1_0
        | hskp47
        | c1_1(X129)
        | ~ c2_1(X129)
        | ~ c0_1(X129)
        | ~ ndr1_0 )
      & ( hskp14
        | hskp38
        | hskp46 )
      & ( hskp45
        | hskp44
        | c2_1(X128)
        | c3_1(X128)
        | c1_1(X128)
        | ~ ndr1_0 )
      & ( hskp7
        | ~ c2_1(X127)
        | ~ c3_1(X127)
        | ~ c0_1(X127)
        | ~ ndr1_0
        | ~ c3_1(X126)
        | ~ c2_1(X126)
        | c0_1(X126)
        | ~ ndr1_0 )
      & ( hskp43
        | hskp13
        | c3_1(X125)
        | ~ c2_1(X125)
        | ~ c0_1(X125)
        | ~ ndr1_0 )
      & ( hskp4
        | ~ c3_1(X124)
        | ~ c0_1(X124)
        | c1_1(X124)
        | ~ ndr1_0
        | ~ c1_1(X123)
        | c2_1(X123)
        | ~ c0_1(X123)
        | ~ ndr1_0 )
      & ( c2_1(X122)
        | ~ c3_1(X122)
        | ~ c1_1(X122)
        | ~ ndr1_0
        | ~ c2_1(X121)
        | c0_1(X121)
        | c1_1(X121)
        | ~ ndr1_0
        | hskp42 )
      & ( ~ c2_1(X120)
        | c1_1(X120)
        | ~ c0_1(X120)
        | ~ ndr1_0
        | hskp41
        | hskp40 )
      & ( ~ c0_1(X119)
        | c2_1(X119)
        | ~ c3_1(X119)
        | ~ ndr1_0
        | ~ c0_1(X118)
        | ~ c1_1(X118)
        | ~ c2_1(X118)
        | ~ ndr1_0
        | hskp12 )
      & ( hskp39
        | ~ c1_1(X117)
        | ~ c3_1(X117)
        | ~ c0_1(X117)
        | ~ ndr1_0
        | hskp11 )
      & ( c1_1(X116)
        | ~ c3_1(X116)
        | ~ c0_1(X116)
        | ~ ndr1_0
        | hskp38
        | ~ c0_1(X115)
        | c2_1(X115)
        | ~ c3_1(X115)
        | ~ ndr1_0 )
      & ( hskp10
        | c0_1(X114)
        | c2_1(X114)
        | c3_1(X114)
        | ~ ndr1_0 )
      & ( c1_1(X113)
        | ~ c3_1(X113)
        | c0_1(X113)
        | ~ ndr1_0
        | hskp9
        | c2_1(X112)
        | c3_1(X112)
        | c0_1(X112)
        | ~ ndr1_0 )
      & ( hskp37
        | hskp8
        | c0_1(X111)
        | ~ c1_1(X111)
        | ~ c3_1(X111)
        | ~ ndr1_0 )
      & ( hskp7
        | hskp36
        | c0_1(X110)
        | ~ c1_1(X110)
        | c2_1(X110)
        | ~ ndr1_0 )
      & ( ~ c3_1(X109)
        | c2_1(X109)
        | c0_1(X109)
        | ~ ndr1_0
        | hskp35
        | c3_1(X108)
        | c0_1(X108)
        | c2_1(X108)
        | ~ ndr1_0 )
      & ( hskp34
        | ~ c0_1(X107)
        | c1_1(X107)
        | c3_1(X107)
        | ~ ndr1_0
        | c3_1(X106)
        | ~ c1_1(X106)
        | c2_1(X106)
        | ~ ndr1_0 )
      & ( ~ c2_1(X105)
        | ~ c3_1(X105)
        | ~ c1_1(X105)
        | ~ ndr1_0
        | c0_1(X104)
        | c2_1(X104)
        | ~ c1_1(X104)
        | ~ ndr1_0
        | hskp33 )
      & ( hskp6
        | hskp32
        | c3_1(X103)
        | ~ c0_1(X103)
        | ~ c1_1(X103)
        | ~ ndr1_0 )
      & ( c3_1(X102)
        | c1_1(X102)
        | ~ c2_1(X102)
        | ~ ndr1_0
        | c2_1(X101)
        | ~ c1_1(X101)
        | ~ c0_1(X101)
        | ~ ndr1_0
        | hskp31 )
      & ( c3_1(X100)
        | ~ c2_1(X100)
        | ~ c0_1(X100)
        | ~ ndr1_0
        | hskp5
        | hskp4 )
      & ( c2_1(X99)
        | ~ c0_1(X99)
        | c1_1(X99)
        | ~ ndr1_0
        | hskp3
        | c0_1(X98)
        | c3_1(X98)
        | c2_1(X98)
        | ~ ndr1_0 )
      & ( ~ c3_1(X97)
        | ~ c1_1(X97)
        | ~ c0_1(X97)
        | ~ ndr1_0
        | c0_1(X96)
        | c2_1(X96)
        | c3_1(X96)
        | ~ ndr1_0
        | hskp2 )
      & ( hskp1
        | ~ c2_1(X95)
        | ~ c0_1(X95)
        | c1_1(X95)
        | ~ ndr1_0
        | c1_1(X94)
        | c2_1(X94)
        | ~ c3_1(X94)
        | ~ ndr1_0 )
      & ( hskp30
        | hskp29
        | hskp0 )
      & ( ~ hskp63
        | c3_1(a1105) )
      & ( ~ hskp63
        | c1_1(a1105) )
      & ( ~ hskp63
        | ~ c2_1(a1105) )
      & ( ~ hskp63
        | ndr1_0 )
      & ( ~ hskp62
        | c1_1(a1103) )
      & ( ~ hskp62
        | c3_1(a1103) )
      & ( ~ hskp62
        | c2_1(a1103) )
      & ( ~ hskp62
        | ndr1_0 )
      & ( ~ hskp61
        | c2_1(a1099) )
      & ( ~ hskp61
        | ~ c0_1(a1099) )
      & ( ~ hskp61
        | ~ c3_1(a1099) )
      & ( ~ hskp61
        | ndr1_0 )
      & ( ~ hskp60
        | c3_1(a1097) )
      & ( ~ hskp60
        | ~ c0_1(a1097) )
      & ( ~ hskp60
        | c2_1(a1097) )
      & ( ~ hskp60
        | ndr1_0 )
      & ( ~ hskp59
        | c1_1(a1095) )
      & ( ~ hskp59
        | ~ c3_1(a1095) )
      & ( ~ hskp59
        | ~ c0_1(a1095) )
      & ( ~ hskp59
        | ndr1_0 )
      & ( ~ hskp58
        | c3_1(a1086) )
      & ( ~ hskp58
        | c2_1(a1086) )
      & ( ~ hskp58
        | ~ c0_1(a1086) )
      & ( ~ hskp58
        | ndr1_0 )
      & ( ~ hskp57
        | c3_1(a1085) )
      & ( ~ hskp57
        | c0_1(a1085) )
      & ( ~ hskp57
        | c2_1(a1085) )
      & ( ~ hskp57
        | ndr1_0 )
      & ( ~ hskp56
        | c0_1(a1084) )
      & ( ~ hskp56
        | ~ c1_1(a1084) )
      & ( ~ hskp56
        | ~ c3_1(a1084) )
      & ( ~ hskp56
        | ndr1_0 )
      & ( ~ hskp55
        | c3_1(a1081) )
      & ( ~ hskp55
        | ~ c0_1(a1081) )
      & ( ~ hskp55
        | c1_1(a1081) )
      & ( ~ hskp55
        | ndr1_0 )
      & ( ~ hskp54
        | c2_1(a1074) )
      & ( ~ hskp54
        | c0_1(a1074) )
      & ( ~ hskp54
        | c3_1(a1074) )
      & ( ~ hskp54
        | ndr1_0 )
      & ( ~ hskp53
        | c0_1(a1073) )
      & ( ~ hskp53
        | c2_1(a1073) )
      & ( ~ hskp53
        | c1_1(a1073) )
      & ( ~ hskp53
        | ndr1_0 )
      & ( ~ hskp52
        | c3_1(a1071) )
      & ( ~ hskp52
        | c0_1(a1071) )
      & ( ~ hskp52
        | c1_1(a1071) )
      & ( ~ hskp52
        | ndr1_0 )
      & ( ~ hskp51
        | c0_1(a1070) )
      & ( ~ hskp51
        | ~ c1_1(a1070) )
      & ( ~ hskp51
        | c2_1(a1070) )
      & ( ~ hskp51
        | ndr1_0 )
      & ( ~ hskp50
        | c1_1(a1069) )
      & ( ~ hskp50
        | c3_1(a1069) )
      & ( ~ hskp50
        | ~ c0_1(a1069) )
      & ( ~ hskp50
        | ndr1_0 )
      & ( ~ hskp49
        | c1_1(a1065) )
      & ( ~ hskp49
        | ~ c2_1(a1065) )
      & ( ~ hskp49
        | ~ c0_1(a1065) )
      & ( ~ hskp49
        | ndr1_0 )
      & ( ~ hskp48
        | c0_1(a1062) )
      & ( ~ hskp48
        | c2_1(a1062) )
      & ( ~ hskp48
        | c3_1(a1062) )
      & ( ~ hskp48
        | ndr1_0 )
      & ( ~ hskp47
        | c3_1(a1056) )
      & ( ~ hskp47
        | c1_1(a1056) )
      & ( ~ hskp47
        | c2_1(a1056) )
      & ( ~ hskp47
        | ndr1_0 )
      & ( ~ hskp46
        | c0_1(a1053) )
      & ( ~ hskp46
        | ~ c2_1(a1053) )
      & ( ~ hskp46
        | ~ c1_1(a1053) )
      & ( ~ hskp46
        | ndr1_0 )
      & ( ~ hskp45
        | c2_1(a1052) )
      & ( ~ hskp45
        | c3_1(a1052) )
      & ( ~ hskp45
        | c0_1(a1052) )
      & ( ~ hskp45
        | ndr1_0 )
      & ( ~ hskp44
        | c0_1(a1051) )
      & ( ~ hskp44
        | ~ c2_1(a1051) )
      & ( ~ hskp44
        | c1_1(a1051) )
      & ( ~ hskp44
        | ndr1_0 )
      & ( ~ hskp43
        | c1_1(a1049) )
      & ( ~ hskp43
        | c2_1(a1049) )
      & ( ~ hskp43
        | c0_1(a1049) )
      & ( ~ hskp43
        | ndr1_0 )
      & ( ~ hskp42
        | c0_1(a1046) )
      & ( ~ hskp42
        | c1_1(a1046) )
      & ( ~ hskp42
        | ~ c2_1(a1046) )
      & ( ~ hskp42
        | ndr1_0 )
      & ( ~ hskp41
        | c3_1(a1045) )
      & ( ~ hskp41
        | ~ c0_1(a1045) )
      & ( ~ hskp41
        | ~ c1_1(a1045) )
      & ( ~ hskp41
        | ndr1_0 )
      & ( ~ hskp40
        | c0_1(a1044) )
      & ( ~ hskp40
        | c3_1(a1044) )
      & ( ~ hskp40
        | ~ c1_1(a1044) )
      & ( ~ hskp40
        | ndr1_0 )
      & ( ~ hskp39
        | c2_1(a1042) )
      & ( ~ hskp39
        | ~ c1_1(a1042) )
      & ( ~ hskp39
        | c0_1(a1042) )
      & ( ~ hskp39
        | ndr1_0 )
      & ( ~ hskp38
        | c2_1(a1040) )
      & ( ~ hskp38
        | c3_1(a1040) )
      & ( ~ hskp38
        | c1_1(a1040) )
      & ( ~ hskp38
        | ndr1_0 )
      & ( ~ hskp37
        | c3_1(a1037) )
      & ( ~ hskp37
        | c0_1(a1037) )
      & ( ~ hskp37
        | ~ c1_1(a1037) )
      & ( ~ hskp37
        | ndr1_0 )
      & ( ~ hskp36
        | c1_1(a1034) )
      & ( ~ hskp36
        | ~ c0_1(a1034) )
      & ( ~ hskp36
        | c3_1(a1034) )
      & ( ~ hskp36
        | ndr1_0 )
      & ( ~ hskp35
        | c3_1(a1033) )
      & ( ~ hskp35
        | c1_1(a1033) )
      & ( ~ hskp35
        | c0_1(a1033) )
      & ( ~ hskp35
        | ndr1_0 )
      & ( ~ hskp34
        | c3_1(a1032) )
      & ( ~ hskp34
        | ~ c1_1(a1032) )
      & ( ~ hskp34
        | ~ c2_1(a1032) )
      & ( ~ hskp34
        | ndr1_0 )
      & ( ~ hskp33
        | c2_1(a1031) )
      & ( ~ hskp33
        | ~ c1_1(a1031) )
      & ( ~ hskp33
        | c3_1(a1031) )
      & ( ~ hskp33
        | ndr1_0 )
      & ( ~ hskp32
        | c2_1(a1029) )
      & ( ~ hskp32
        | c1_1(a1029) )
      & ( ~ hskp32
        | ~ c0_1(a1029) )
      & ( ~ hskp32
        | ndr1_0 )
      & ( ~ hskp31
        | c3_1(a1028) )
      & ( ~ hskp31
        | ~ c1_1(a1028) )
      & ( ~ hskp31
        | c0_1(a1028) )
      & ( ~ hskp31
        | ndr1_0 )
      & ( ~ hskp30
        | c1_1(a1022) )
      & ( ~ hskp30
        | c3_1(a1022) )
      & ( ~ hskp30
        | ~ c2_1(a1022) )
      & ( ~ hskp30
        | ndr1_0 )
      & ( ~ hskp29
        | c2_1(a1021) )
      & ( ~ hskp29
        | ~ c3_1(a1021) )
      & ( ~ hskp29
        | ~ c1_1(a1021) )
      & ( ~ hskp29
        | ndr1_0 )
      & ( ~ hskp28
        | ~ c1_1(a1102) )
      & ( ~ hskp28
        | c2_1(a1102) )
      & ( ~ hskp28
        | ~ c0_1(a1102) )
      & ( ~ hskp28
        | ndr1_0 )
      & ( ~ hskp27
        | ~ c0_1(a1101) )
      & ( ~ hskp27
        | c1_1(a1101) )
      & ( ~ hskp27
        | c3_1(a1101) )
      & ( ~ hskp27
        | ndr1_0 )
      & ( ~ hskp26
        | ~ c0_1(a1098) )
      & ( ~ hskp26
        | c1_1(a1098) )
      & ( ~ hskp26
        | ~ c3_1(a1098) )
      & ( ~ hskp26
        | ndr1_0 )
      & ( ~ hskp25
        | ~ c2_1(a1091) )
      & ( ~ hskp25
        | ~ c0_1(a1091) )
      & ( ~ hskp25
        | ~ c3_1(a1091) )
      & ( ~ hskp25
        | ndr1_0 )
      & ( ~ hskp24
        | ~ c1_1(a1089) )
      & ( ~ hskp24
        | c0_1(a1089) )
      & ( ~ hskp24
        | ~ c2_1(a1089) )
      & ( ~ hskp24
        | ndr1_0 )
      & ( ~ hskp23
        | ~ c2_1(a1088) )
      & ( ~ hskp23
        | c3_1(a1088) )
      & ( ~ hskp23
        | c1_1(a1088) )
      & ( ~ hskp23
        | ndr1_0 )
      & ( ~ hskp22
        | ~ c1_1(a1083) )
      & ( ~ hskp22
        | c3_1(a1083) )
      & ( ~ hskp22
        | c2_1(a1083) )
      & ( ~ hskp22
        | ndr1_0 )
      & ( ~ hskp21
        | ~ c0_1(a1082) )
      & ( ~ hskp21
        | ~ c2_1(a1082) )
      & ( ~ hskp21
        | ~ c3_1(a1082) )
      & ( ~ hskp21
        | ndr1_0 )
      & ( ~ hskp20
        | ~ c1_1(a1080) )
      & ( ~ hskp20
        | ~ c2_1(a1080) )
      & ( ~ hskp20
        | ~ c0_1(a1080) )
      & ( ~ hskp20
        | ndr1_0 )
      & ( ~ hskp19
        | ~ c2_1(a1079) )
      & ( ~ hskp19
        | ~ c0_1(a1079) )
      & ( ~ hskp19
        | c1_1(a1079) )
      & ( ~ hskp19
        | ndr1_0 )
      & ( ~ hskp18
        | ~ c1_1(a1078) )
      & ( ~ hskp18
        | c0_1(a1078) )
      & ( ~ hskp18
        | c2_1(a1078) )
      & ( ~ hskp18
        | ndr1_0 )
      & ( ~ hskp17
        | ~ c2_1(a1077) )
      & ( ~ hskp17
        | c3_1(a1077) )
      & ( ~ hskp17
        | ~ c0_1(a1077) )
      & ( ~ hskp17
        | ndr1_0 )
      & ( ~ hskp16
        | ~ c3_1(a1064) )
      & ( ~ hskp16
        | c0_1(a1064) )
      & ( ~ hskp16
        | c2_1(a1064) )
      & ( ~ hskp16
        | ndr1_0 )
      & ( ~ hskp15
        | ~ c1_1(a1059) )
      & ( ~ hskp15
        | c2_1(a1059) )
      & ( ~ hskp15
        | c3_1(a1059) )
      & ( ~ hskp15
        | ndr1_0 )
      & ( ~ hskp14
        | ~ c2_1(a1055) )
      & ( ~ hskp14
        | ~ c1_1(a1055) )
      & ( ~ hskp14
        | ~ c0_1(a1055) )
      & ( ~ hskp14
        | ndr1_0 )
      & ( ~ hskp13
        | ~ c2_1(a1048) )
      & ( ~ hskp13
        | c3_1(a1048) )
      & ( ~ hskp13
        | c0_1(a1048) )
      & ( ~ hskp13
        | ndr1_0 )
      & ( ~ hskp12
        | ~ c3_1(a1043) )
      & ( ~ hskp12
        | c0_1(a1043) )
      & ( ~ hskp12
        | ~ c1_1(a1043) )
      & ( ~ hskp12
        | ndr1_0 )
      & ( ~ hskp11
        | ~ c2_1(a1041) )
      & ( ~ hskp11
        | c1_1(a1041) )
      & ( ~ hskp11
        | ~ c3_1(a1041) )
      & ( ~ hskp11
        | ndr1_0 )
      & ( ~ hskp10
        | ~ c0_1(a1039) )
      & ( ~ hskp10
        | ~ c2_1(a1039) )
      & ( ~ hskp10
        | c1_1(a1039) )
      & ( ~ hskp10
        | ndr1_0 )
      & ( ~ hskp9
        | ~ c0_1(a1038) )
      & ( ~ hskp9
        | c2_1(a1038) )
      & ( ~ hskp9
        | ~ c1_1(a1038) )
      & ( ~ hskp9
        | ndr1_0 )
      & ( ~ hskp8
        | ~ c1_1(a1036) )
      & ( ~ hskp8
        | ~ c3_1(a1036) )
      & ( ~ hskp8
        | c0_1(a1036) )
      & ( ~ hskp8
        | ndr1_0 )
      & ( ~ hskp7
        | ~ c2_1(a1035) )
      & ( ~ hskp7
        | c1_1(a1035) )
      & ( ~ hskp7
        | c0_1(a1035) )
      & ( ~ hskp7
        | ndr1_0 )
      & ( ~ hskp6
        | ~ c0_1(a1030) )
      & ( ~ hskp6
        | ~ c3_1(a1030) )
      & ( ~ hskp6
        | ~ c2_1(a1030) )
      & ( ~ hskp6
        | ndr1_0 )
      & ( ~ hskp5
        | ~ c3_1(a1027) )
      & ( ~ hskp5
        | c2_1(a1027) )
      & ( ~ hskp5
        | c1_1(a1027) )
      & ( ~ hskp5
        | ndr1_0 )
      & ( ~ hskp4
        | ~ c1_1(a1026) )
      & ( ~ hskp4
        | ~ c2_1(a1026) )
      & ( ~ hskp4
        | c0_1(a1026) )
      & ( ~ hskp4
        | ndr1_0 )
      & ( ~ hskp3
        | ~ c2_1(a1025) )
      & ( ~ hskp3
        | ~ c3_1(a1025) )
      & ( ~ hskp3
        | ~ c0_1(a1025) )
      & ( ~ hskp3
        | ndr1_0 )
      & ( ~ hskp2
        | ~ c3_1(a1024) )
      & ( ~ hskp2
        | c1_1(a1024) )
      & ( ~ hskp2
        | c2_1(a1024) )
      & ( ~ hskp2
        | ndr1_0 )
      & ( ~ hskp1
        | ~ c0_1(a1023) )
      & ( ~ hskp1
        | ~ c1_1(a1023) )
      & ( ~ hskp1
        | c2_1(a1023) )
      & ( ~ hskp1
        | ndr1_0 )
      & ( ~ hskp0
        | ~ c2_1(a1020) )
      & ( ~ hskp0
        | ~ c1_1(a1020) )
      & ( ~ hskp0
        | c0_1(a1020) )
      & ( ~ hskp0
        | ndr1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

cnf(c_0_4,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ( hskp30
    | hskp29
    | hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ hskp29
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_8,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp25
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_9,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).

fof(c_0_10,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( c2_1(X3)
        | c1_1(X3)
        | c0_1(X3) ) ),
    introduced(definition) ).

fof(c_0_11,plain,
    ( ~ epred32_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp33
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_12,plain,
    ( ~ epred43_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ ndr1_0
        | hskp53
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_13,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_14,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp3
        | c3_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_15,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp25
    | epred30_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_8]),c_0_9])]) ).

cnf(c_0_16,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred51_0 ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp33
    | epred32_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_11]),c_0_9])]) ).

fof(c_0_18,plain,
    ( ~ epred53_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_19,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_20,negated_conjecture,
    ( ~ ndr1_0
    | hskp45
    | hskp44
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_21,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_22,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_23,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ ndr1_0
    | hskp33
    | hskp15
    | c0_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ ndr1_0
    | hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | hskp53
    | epred43_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_12]),c_0_9])]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_13]),c_0_9])]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a1091) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_28,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp3
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_14]),c_0_9])]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1091) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a1091) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a1039) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_32,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp25
    | epred30_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a1039) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_34,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ ndr1_0
        | hskp35
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_35,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp33
    | epred32_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_17,c_0_16]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1025) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1025) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_38,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ ndr1_0
        | hskp31
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_39,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp43
    | c0_1(X1)
    | hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_40,plain,
    ( ~ epred23_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_41,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred53_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_18]),c_0_9])]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ hskp45
    | c3_1(a1052) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ hskp45
    | c0_1(a1052) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ hskp45
    | c2_1(a1052) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred25_0 ),
    inference(split_equiv,[status(thm)],[c_0_19]) ).

cnf(c_0_46,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp44
    | hskp45 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_9])]) ).

fof(c_0_47,plain,
    ( ~ epred10_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp34
        | c3_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_48,plain,
    ( ~ epred44_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_49,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_50,plain,
    ( ~ epred49_0
  <=> ! [X3] :
        ( c3_1(X3)
        | c2_1(X3)
        | c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_51,plain,
    ( ~ epred45_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c3_1(X3)
        | c1_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_52,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred36_0 ),
    inference(split_equiv,[status(thm)],[c_0_21]) ).

fof(c_0_53,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_54,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp58
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_55,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | hskp4
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_56,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_57,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | hskp1
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_58,plain,
    ( ~ epred48_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_59,plain,
    ( ~ epred11_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_60,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_61,plain,
    ( ~ epred41_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_62,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred38_0 ),
    inference(split_equiv,[status(thm)],[c_0_22]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ hskp15
    | c3_1(a1059) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ hskp15
    | c2_1(a1059) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_65,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1059) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp15
    | hskp33 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_9])]) ).

cnf(c_0_67,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_9])]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ hskp33
    | c3_1(a1031) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ hskp33
    | c2_1(a1031) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ hskp33
    | ~ c1_1(a1031) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | hskp53
    | epred43_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ hskp57
    | c2_1(a1085) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ hskp25
    | hskp3
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ hskp10
    | hskp25
    | epred30_0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

fof(c_0_75,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | hskp57
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_76,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp35
    | epred20_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_34]),c_0_9])]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ hskp42
    | c1_1(a1046) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ hskp42
    | ~ c2_1(a1046) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ hskp25
    | hskp33
    | epred32_0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_35]),c_0_30]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ hskp3
    | hskp25
    | epred30_0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_37]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp31
    | epred18_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_38]),c_0_9])]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ hskp39
    | c2_1(a1042) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ hskp39
    | ~ c1_1(a1042) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | hskp10
    | hskp43 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_9])]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred23_0 ),
    inference(split_equiv,[status(thm)],[c_0_40]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a1101) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ hskp45
    | epred53_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]) ).

cnf(c_0_88,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp44
    | hskp45
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp39
    | hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp34
    | epred10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_47]),c_0_9])]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ hskp44
    | c1_1(a1051) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ hskp44
    | ~ c2_1(a1051) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_93,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | hskp38
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_94,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred44_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_48]),c_0_9])]) ).

cnf(c_0_95,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred21_0 ),
    inference(split_equiv,[status(thm)],[c_0_49]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ ndr1_0
    | hskp20
    | c3_1(X1)
    | c1_1(X1)
    | hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ hskp29
    | ~ c3_1(a1021) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ hskp29
    | ~ c1_1(a1021) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_99,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred49_0 ),
    inference(split_equiv,[status(thm)],[c_0_50]) ).

fof(c_0_100,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ ndr1_0
        | hskp47
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_101,negated_conjecture,
    ( ~ hskp56
    | ~ c3_1(a1084) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_102,negated_conjecture,
    ( ~ hskp56
    | ~ c1_1(a1084) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_103,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred45_0 ),
    inference(split_equiv,[status(thm)],[c_0_51]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ hskp45
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_42]),c_0_43]),c_0_44]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred29_0 ),
    inference(split_equiv,[status(thm)],[c_0_53]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ hskp57
    | c3_1(a1085) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ hskp57
    | c0_1(a1085) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ ndr1_0
    | hskp21
    | c1_1(X1)
    | c2_1(X1)
    | hskp55 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | hskp37
    | hskp8
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_110,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp56
    | c2_1(X1)
    | hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | hskp41
    | hskp40 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp23
    | hskp33 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ hskp55
    | c3_1(a1081) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ hskp55
    | ~ c0_1(a1081) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp58
    | epred24_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_54]),c_0_9])]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ hskp55
    | c1_1(a1081) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ hskp58
    | c3_1(a1086) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ hskp58
    | c2_1(a1086) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ hskp58
    | ~ c0_1(a1086) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_120,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | ~ ndr1_0
        | hskp42
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_121,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | hskp4
    | epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_55]),c_0_9])]) ).

cnf(c_0_122,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_56]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a1026) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ hskp4
    | c0_1(a1026) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a1026) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ hskp31
    | c3_1(a1028) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ hskp31
    | ~ c1_1(a1028) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp1
    | epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_57]),c_0_9])]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ hskp37
    | c3_1(a1037) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ hskp37
    | ~ c1_1(a1037) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ hskp40
    | c3_1(a1044) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ hskp40
    | c0_1(a1044) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ hskp40
    | ~ c1_1(a1044) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_134,negated_conjecture,
    ( ~ hskp41
    | ~ c1_1(a1045) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ hskp41
    | ~ c0_1(a1045) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ hskp41
    | c3_1(a1045) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1023) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ hskp1
    | c2_1(a1023) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_139,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a1023) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ hskp47
    | c3_1(a1056) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ hskp47
    | c2_1(a1056) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_58]),c_0_9])]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred11_0 ),
    inference(split_equiv,[status(thm)],[c_0_59]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred15_0 ),
    inference(split_equiv,[status(thm)],[c_0_60]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ hskp29
    | c2_1(a1021) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | epred41_0 ),
    inference(split_equiv,[status(thm)],[c_0_61]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp38
    | c1_1(a1040) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp38
    | c2_1(a1040) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp38
    | c3_1(a1040) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ hskp47
    | c1_1(a1056) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ hskp15
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_65]) ).

cnf(c_0_152,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp10
    | hskp15
    | hskp33 ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ hskp33
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_68]),c_0_69]),c_0_70]) ).

fof(c_0_154,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_155,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_156,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a1078) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ hskp18
    | c0_1(a1078) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ hskp18
    | c2_1(a1078) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp39
    | c0_1(a1042) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_160,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c3_1(X1)
        | hskp1
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_161,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1020) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp0
    | c0_1(a1020) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1020) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | epred38_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_62,c_0_26]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c1_1(X3)
    | c0_1(X3)
    | c1_1(X2)
    | c3_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c1_1(X3)
    | c3_1(X3)
    | c1_1(X2)
    | c3_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_167,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | c1_1(X3)
    | c3_1(X3)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | hskp53 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp57
    | c1_1(X2)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X2)
    | hskp51 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | hskp47
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | hskp38
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp33 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp25
    | c0_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp4
    | c1_1(X2)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp58
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | hskp42 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp35
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | hskp31 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | hskp1
    | c1_1(X2)
    | c1_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_182,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp34
    | c1_1(X2)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X2)
    | hskp3
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_184,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X2)
    | hskp1
    | c0_1(X1)
    | c2_1(X1)
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ hskp45
    | c1_1(a1052)
    | hskp53
    | epred43_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_71,c_0_44]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ hskp57
    | c1_1(a1085)
    | hskp53
    | epred43_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp3
    | hskp33
    | epred32_0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_35]),c_0_37]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ hskp10
    | hskp3
    | epred3_0
    | epred30_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp57
    | epred37_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_75]),c_0_9])]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ hskp42
    | c3_1(a1046)
    | hskp35
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp3
    | hskp33
    | epred30_0
    | epred32_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp39
    | c3_1(a1042)
    | hskp31
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | hskp10
    | hskp43
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp27
    | c2_1(a1101)
    | hskp25
    | epred30_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_86,c_0_32]) ).

cnf(c_0_195,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp44
    | epred25_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | hskp11
    | hskp39 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_9])]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ hskp44
    | c3_1(a1051)
    | hskp34
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp38
    | epred33_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_93]),c_0_9])]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred38_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_62,c_0_94]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred21_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_95,c_0_94]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp19
    | hskp20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_9])]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ hskp29
    | c0_1(a1021)
    | epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_94]),c_0_98]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ hskp25
    | c1_1(a1091)
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_99]),c_0_30]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | hskp47
    | epred34_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_100]),c_0_9])]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ hskp56
    | c2_1(a1084)
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_99]),c_0_102]) ).

cnf(c_0_206,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred21_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_95,c_0_103]) ).

cnf(c_0_207,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp44
    | epred25_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_104,c_0_88]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ hskp57
    | c1_1(a1085)
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ hskp17
    | c3_1(a1077) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ hskp30
    | c3_1(a1022) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ hskp8
    | c0_1(a1036) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ hskp56
    | c0_1(a1084) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp21
    | hskp55 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_9])]) ).

cnf(c_0_214,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | hskp8
    | hskp37 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_9])]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ hskp27
    | c1_1(a1101) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp22
    | hskp56 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_9])]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | hskp40
    | hskp41 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_9])]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp23
    | hskp33 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_9])]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ hskp34
    | c3_1(a1032) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp35
    | c3_1(a1033) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ hskp23
    | c3_1(a1088) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp10
    | c1_1(a1039) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp19
    | c1_1(a1079) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp23
    | c1_1(a1088) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ c2_1(a1081)
    | ~ hskp55
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_113]),c_0_114]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ hskp55
    | c2_1(a1081)
    | hskp58
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_113]),c_0_116]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp58
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_117]),c_0_118]),c_0_119]) ).

cnf(c_0_228,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp42
    | epred22_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_120]),c_0_9])]) ).

cnf(c_0_229,negated_conjecture,
    ( ~ hskp30
    | c1_1(a1022) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_230,negated_conjecture,
    ( ~ hskp30
    | ~ c2_1(a1022) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a1079) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_232,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a1079) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a1082) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a1082) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_235,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | hskp4
    | epred2_0
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ hskp42
    | c0_1(a1046) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp4
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_122]),c_0_124]),c_0_125]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ c2_1(a1028)
    | ~ hskp31
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_126]),c_0_127]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ hskp31
    | c2_1(a1028)
    | hskp1
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_126]),c_0_127]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp34
    | ~ c1_1(a1032) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp34
    | ~ c2_1(a1032) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ c2_1(a1037)
    | ~ hskp37
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_129]),c_0_130]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ hskp37
    | c2_1(a1037)
    | hskp1
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).

cnf(c_0_244,negated_conjecture,
    ( ~ c2_1(a1044)
    | ~ hskp40
    | epred53_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_131]),c_0_132]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp40
    | c2_1(a1044)
    | hskp1
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_131]),c_0_133]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ c2_1(a1044)
    | ~ hskp40
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_131]),c_0_132]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ c2_1(a1045)
    | ~ hskp41
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_85]),c_0_135]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp41
    | c2_1(a1045)
    | hskp1
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_136]),c_0_134]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp1
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_85]),c_0_138]),c_0_139]) ).

cnf(c_0_250,negated_conjecture,
    ( ~ c0_1(a1059)
    | ~ hskp15
    | epred53_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_63]),c_0_64]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ hskp15
    | c0_1(a1059)
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_63]),c_0_64]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ hskp15
    | c0_1(a1059)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_85]),c_0_64]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ c0_1(a1031)
    | ~ hskp33
    | epred53_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_68]),c_0_69]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ hskp33
    | c0_1(a1031)
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_68]),c_0_69]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ hskp33
    | c0_1(a1031)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_85]),c_0_69]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ hskp35
    | c0_1(a1033) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ hskp11
    | c1_1(a1041) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a1041) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a1041) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ c0_1(a1056)
    | ~ hskp47
    | epred53_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_140]),c_0_141]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ hskp47
    | c0_1(a1056)
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_140]),c_0_141]) ).

cnf(c_0_262,negated_conjecture,
    ( ~ c0_1(a1021)
    | ~ hskp29
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_142]),c_0_98]) ).

cnf(c_0_263,negated_conjecture,
    ( ~ c0_1(a1021)
    | ~ hskp29
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_143]),c_0_98]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ c0_1(a1021)
    | ~ hskp29
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_144]),c_0_145]) ).

cnf(c_0_265,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a1080) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a1080) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a1080) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_268,negated_conjecture,
    ( ~ hskp35
    | c1_1(a1033) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_269,negated_conjecture,
    ( ~ c0_1(a1040)
    | ~ hskp38
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ hskp38
    | c0_1(a1040)
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_149]),c_0_148]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp43
    | c1_1(a1049) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ hskp43
    | c0_1(a1049) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_273,negated_conjecture,
    ( ~ hskp43
    | c2_1(a1049) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ c0_1(a1056)
    | ~ hskp47
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_150]),c_0_141]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ hskp53
    | c1_1(a1073) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ hskp53
    | c0_1(a1073) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ hskp53
    | c2_1(a1073) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_278,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp10
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ hskp22
    | c3_1(a1083) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ hskp22
    | c2_1(a1083) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a1083) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ c0_1(a1059)
    | ~ hskp15
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_63]),c_0_64]) ).

cnf(c_0_283,negated_conjecture,
    ( ~ c0_1(a1031)
    | ~ hskp33
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_68]),c_0_69]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred31_0 ),
    inference(split_equiv,[status(thm)],[c_0_154]) ).

cnf(c_0_285,negated_conjecture,
    ( ~ hskp31
    | c0_1(a1028) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ hskp28
    | ~ c1_1(a1102) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ hskp28
    | c2_1(a1102) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ hskp28
    | ~ c0_1(a1102) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ hskp29
    | c0_1(a1021)
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_85]),c_0_145]) ).

cnf(c_0_290,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | epred19_0 ),
    inference(split_equiv,[status(thm)],[c_0_155]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp44
    | c0_1(a1051) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp18
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_144]),c_0_157]),c_0_158]) ).

cnf(c_0_293,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp39 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_294,negated_conjecture,
    ( ~ hskp39
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_144]),c_0_159]),c_0_82]) ).

cnf(c_0_295,negated_conjecture,
    ( ~ hskp51
    | ~ c1_1(a1070) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_296,negated_conjecture,
    ( ~ hskp51
    | c0_1(a1070) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ hskp51
    | c2_1(a1070) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_298,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a1025) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_299,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp1
    | c3_1(X1)
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_160]),c_0_9])]) ).

cnf(c_0_300,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a1082) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ hskp0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_122]),c_0_162]),c_0_163]) ).

cnf(c_0_302,negated_conjecture,
    ( ~ hskp18
    | epred38_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_164]),c_0_158]) ).

cnf(c_0_303,negated_conjecture,
    ( ~ hskp39
    | epred38_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_164]),c_0_82]) ).

fof(c_0_304,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | hskp51
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_305,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | epred38_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_62,c_0_103]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X3)
    | c1_1(X2)
    | c1_1(X3)
    | c0_1(X1)
    | c0_1(X3) ),
    inference(cn,[status(thm)],[c_0_165]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_166]) ).

cnf(c_0_308,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_167]) ).

cnf(c_0_309,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X1)
    | ~ c1_1(X3)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(cn,[status(thm)],[c_0_168]) ).

cnf(c_0_310,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | hskp53 ),
    inference(cn,[status(thm)],[c_0_169]) ).

cnf(c_0_311,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X2)
    | hskp57 ),
    inference(cn,[status(thm)],[c_0_170]) ).

cnf(c_0_312,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X2)
    | hskp51 ),
    inference(cn,[status(thm)],[c_0_171]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X1)
    | hskp47 ),
    inference(cn,[status(thm)],[c_0_172]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X2)
    | hskp38 ),
    inference(cn,[status(thm)],[c_0_173]) ).

cnf(c_0_315,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp33 ),
    inference(cn,[status(thm)],[c_0_174]) ).

cnf(c_0_316,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp25 ),
    inference(cn,[status(thm)],[c_0_175]) ).

cnf(c_0_317,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X2)
    | hskp4 ),
    inference(cn,[status(thm)],[c_0_176]) ).

cnf(c_0_318,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp58 ),
    inference(cn,[status(thm)],[c_0_177]) ).

cnf(c_0_319,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | hskp42 ),
    inference(cn,[status(thm)],[c_0_178]) ).

cnf(c_0_320,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | hskp35 ),
    inference(cn,[status(thm)],[c_0_179]) ).

cnf(c_0_321,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | hskp31 ),
    inference(cn,[status(thm)],[c_0_180]) ).

cnf(c_0_322,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | hskp1 ),
    inference(cn,[status(thm)],[c_0_181]) ).

cnf(c_0_323,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | hskp34 ),
    inference(cn,[status(thm)],[c_0_182]) ).

cnf(c_0_324,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | hskp3 ),
    inference(cn,[status(thm)],[c_0_183]) ).

cnf(c_0_325,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1)
    | hskp1 ),
    inference(cn,[status(thm)],[c_0_184]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ hskp45
    | ~ c0_1(a1052)
    | ~ c2_1(a1052)
    | hskp53
    | epred43_0
    | epred50_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_146,c_0_185]) ).

cnf(c_0_327,negated_conjecture,
    ( ~ hskp57
    | ~ c0_1(a1085)
    | ~ c2_1(a1085)
    | hskp53
    | epred43_0
    | epred50_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_146,c_0_186]) ).

cnf(c_0_328,negated_conjecture,
    ( ~ hskp10
    | epred3_0
    | epred30_0
    | hskp33
    | epred32_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

cnf(c_0_329,negated_conjecture,
    ( ~ hskp42
    | ~ c0_1(a1046)
    | hskp35
    | epred20_0
    | c2_1(a1046)
    | hskp57
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_330,negated_conjecture,
    ( ~ hskp10
    | epred3_0
    | hskp33
    | epred30_0
    | epred32_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_188]) ).

cnf(c_0_331,negated_conjecture,
    ( ~ hskp39
    | ~ c2_1(a1042)
    | hskp31
    | epred18_0
    | c1_1(a1042)
    | hskp53
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_192]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ hskp39
    | ~ c2_1(a1042)
    | hskp31
    | epred18_0
    | c1_1(a1042)
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_62,c_0_192]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ hskp27
    | hskp25
    | epred30_0
    | epred51_0
    | c0_1(a1101)
    | hskp10
    | hskp43
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1020)
    | hskp44
    | epred25_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_161,c_0_195]) ).

cnf(c_0_335,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp44
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_87,c_0_46]) ).

cnf(c_0_336,negated_conjecture,
    ( ~ hskp44
    | ~ c0_1(a1051)
    | ~ c1_1(a1051)
    | hskp34
    | epred10_0
    | hskp11
    | hskp39 ),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_337,negated_conjecture,
    ( ~ hskp44
    | ~ c0_1(a1051)
    | hskp34
    | epred10_0
    | c2_1(a1051)
    | hskp57
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_197]) ).

cnf(c_0_338,negated_conjecture,
    ( ~ hskp44
    | ~ c0_1(a1051)
    | hskp34
    | epred10_0
    | c2_1(a1051)
    | hskp38
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_197]) ).

cnf(c_0_339,negated_conjecture,
    ( ~ c2_1(a1023)
    | ~ hskp1
    | c0_1(a1023)
    | epred38_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_137,c_0_199]) ).

cnf(c_0_340,negated_conjecture,
    ( ~ c2_1(a1023)
    | ~ hskp1
    | c0_1(a1023)
    | epred21_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_137,c_0_200]) ).

cnf(c_0_341,negated_conjecture,
    ( ~ hskp29
    | epred44_0
    | c1_1(a1021)
    | c3_1(a1021)
    | hskp19
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_342,negated_conjecture,
    ( ~ hskp25
    | epred49_0
    | c2_1(a1091)
    | c3_1(a1091)
    | hskp34
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_90,c_0_203]) ).

cnf(c_0_343,negated_conjecture,
    ( ~ hskp56
    | ~ c0_1(a1084)
    | epred49_0
    | c3_1(a1084)
    | hskp47
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_344,negated_conjecture,
    ( ~ c2_1(a1023)
    | ~ hskp1
    | c0_1(a1023)
    | epred21_0
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_137,c_0_206]) ).

cnf(c_0_345,negated_conjecture,
    ( ~ hskp0
    | c2_1(a1020)
    | hskp44
    | epred25_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_161,c_0_207]) ).

cnf(c_0_346,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp44
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_104,c_0_46]) ).

cnf(c_0_347,negated_conjecture,
    ( ~ hskp57
    | ~ c0_1(a1085)
    | ~ c2_1(a1085)
    | epred29_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_146,c_0_208]) ).

cnf(c_0_348,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | hskp44
    | hskp45
    | c2_1(X1)
    | hskp57
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_46]) ).

cnf(c_0_349,negated_conjecture,
    ( ~ hskp17
    | c0_1(a1077)
    | c2_1(a1077)
    | hskp15
    | hskp33 ),
    inference(spm,[status(thm)],[c_0_66,c_0_209]) ).

cnf(c_0_350,negated_conjecture,
    ( ~ hskp30
    | c0_1(a1022)
    | c2_1(a1022)
    | hskp15
    | hskp33 ),
    inference(spm,[status(thm)],[c_0_66,c_0_210]) ).

cnf(c_0_351,negated_conjecture,
    ( ~ hskp55
    | c0_1(a1081)
    | c2_1(a1081)
    | hskp15
    | hskp33 ),
    inference(spm,[status(thm)],[c_0_66,c_0_113]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ hskp8
    | c1_1(a1036)
    | c3_1(a1036)
    | hskp19
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_201,c_0_211]) ).

cnf(c_0_353,negated_conjecture,
    ( ~ hskp56
    | c1_1(a1084)
    | c3_1(a1084)
    | hskp19
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_201,c_0_212]) ).

cnf(c_0_354,negated_conjecture,
    ( hskp33
    | epred32_0
    | epred51_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp21
    | hskp55 ),
    inference(spm,[status(thm)],[c_0_213,c_0_35]) ).

cnf(c_0_355,negated_conjecture,
    ( ~ hskp55
    | ~ c1_1(a1081)
    | c0_1(a1081)
    | hskp8
    | hskp37 ),
    inference(spm,[status(thm)],[c_0_214,c_0_113]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a1101)
    | c0_1(a1101)
    | hskp10
    | hskp43 ),
    inference(spm,[status(thm)],[c_0_84,c_0_215]) ).

cnf(c_0_357,negated_conjecture,
    ( ~ hskp38
    | ~ c2_1(a1040)
    | c0_1(a1040)
    | hskp10
    | hskp43 ),
    inference(spm,[status(thm)],[c_0_84,c_0_147]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ hskp47
    | ~ c2_1(a1056)
    | c0_1(a1056)
    | hskp10
    | hskp43 ),
    inference(spm,[status(thm)],[c_0_84,c_0_150]) ).

cnf(c_0_359,negated_conjecture,
    ( ~ hskp55
    | ~ c2_1(a1081)
    | c0_1(a1081)
    | hskp10
    | hskp43 ),
    inference(spm,[status(thm)],[c_0_84,c_0_116]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ hskp30
    | ~ c1_1(a1022)
    | c2_1(a1022)
    | hskp22
    | hskp56 ),
    inference(spm,[status(thm)],[c_0_216,c_0_210]) ).

cnf(c_0_361,negated_conjecture,
    ( ~ hskp29
    | ~ c0_1(a1021)
    | c1_1(a1021)
    | hskp40
    | hskp41 ),
    inference(spm,[status(thm)],[c_0_217,c_0_145]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ hskp30
    | ~ c0_1(a1022)
    | ~ c1_1(a1022)
    | hskp11
    | hskp39 ),
    inference(spm,[status(thm)],[c_0_196,c_0_210]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ hskp57
    | ~ c0_1(a1085)
    | ~ c2_1(a1085)
    | hskp23
    | hskp33 ),
    inference(spm,[status(thm)],[c_0_218,c_0_106]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | epred48_0
    | c2_1(X1)
    | hskp57
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_142]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ c0_1(X1)
    | epred48_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp1
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_142]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a1059)
    | c1_1(a1059)
    | hskp53
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_63]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ hskp33
    | ~ c2_1(a1031)
    | c1_1(a1031)
    | hskp53
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_68]) ).

cnf(c_0_368,negated_conjecture,
    ( ~ hskp40
    | ~ c2_1(a1044)
    | c1_1(a1044)
    | hskp53
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_131]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ hskp45
    | ~ c2_1(a1052)
    | c1_1(a1052)
    | hskp53
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_42]) ).

cnf(c_0_370,negated_conjecture,
    ( ~ hskp57
    | ~ c2_1(a1085)
    | c1_1(a1085)
    | hskp53
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_25,c_0_106]) ).

cnf(c_0_371,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | epred49_0
    | c2_1(X1)
    | hskp57
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_99]) ).

cnf(c_0_372,negated_conjecture,
    ( ~ hskp30
    | ~ c0_1(a1022)
    | c2_1(a1022)
    | hskp57
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_210]) ).

cnf(c_0_373,negated_conjecture,
    ( ~ hskp34
    | ~ c0_1(a1032)
    | c2_1(a1032)
    | hskp57
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_219]) ).

cnf(c_0_374,negated_conjecture,
    ( ~ hskp35
    | ~ c0_1(a1033)
    | c2_1(a1033)
    | hskp57
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_189,c_0_220]) ).

cnf(c_0_375,negated_conjecture,
    ( ~ hskp29
    | ~ c0_1(a1021)
    | c3_1(a1021)
    | hskp47
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_204,c_0_145]) ).

cnf(c_0_376,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a1088)
    | c2_1(a1088)
    | hskp38
    | epred33_0 ),
    inference(spm,[status(thm)],[c_0_198,c_0_221]) ).

cnf(c_0_377,negated_conjecture,
    ( ~ hskp10
    | c0_1(a1039)
    | c2_1(a1039)
    | hskp33
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_17,c_0_222]) ).

cnf(c_0_378,negated_conjecture,
    ( ~ hskp19
    | c0_1(a1079)
    | c2_1(a1079)
    | hskp33
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_17,c_0_223]) ).

cnf(c_0_379,negated_conjecture,
    ( ~ hskp23
    | c0_1(a1088)
    | c2_1(a1088)
    | hskp33
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_17,c_0_224]) ).

cnf(c_0_380,negated_conjecture,
    ( ~ hskp27
    | c0_1(a1101)
    | c2_1(a1101)
    | hskp33
    | epred32_0 ),
    inference(spm,[status(thm)],[c_0_17,c_0_215]) ).

cnf(c_0_381,negated_conjecture,
    ( ~ hskp55
    | c0_1(a1081)
    | c2_1(a1081)
    | hskp25
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_15,c_0_116]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ hskp55
    | epred21_0
    | epred24_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).

cnf(c_0_383,negated_conjecture,
    ( ~ hskp30
    | hskp42
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_210]),c_0_229]),c_0_230]) ).

cnf(c_0_384,negated_conjecture,
    ( ~ hskp10
    | hskp33
    | epred32_0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_35]),c_0_33]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ hskp19
    | hskp33
    | epred32_0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_35]),c_0_232]) ).

cnf(c_0_386,negated_conjecture,
    ( ~ hskp21
    | hskp33
    | epred32_0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_35]),c_0_234]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ hskp55
    | c2_1(a1081)
    | hskp33
    | epred32_0
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_114,c_0_35]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ hskp19
    | hskp25
    | epred30_0
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_32]),c_0_232]) ).

cnf(c_0_389,negated_conjecture,
    ( ~ hskp42
    | epred2_0
    | epred28_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_78]),c_0_237]) ).

cnf(c_0_390,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp1
    | epred11_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_143]) ).

cnf(c_0_391,negated_conjecture,
    ( ~ hskp31
    | hskp1
    | epred14_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ hskp34
    | hskp1
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_219]),c_0_240]),c_0_241]) ).

cnf(c_0_393,negated_conjecture,
    ( ~ hskp37
    | hskp1
    | epred14_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_394,negated_conjecture,
    ( ~ hskp40
    | hskp1
    | epred14_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_395,negated_conjecture,
    ( ~ hskp40
    | hskp1
    | epred14_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_246,c_0_245]) ).

cnf(c_0_396,negated_conjecture,
    ( ~ hskp41
    | epred14_0
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ hskp15
    | epred21_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_398,negated_conjecture,
    ( ~ hskp15
    | epred23_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_250,c_0_252]) ).

cnf(c_0_399,negated_conjecture,
    ( ~ hskp33
    | epred21_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_400,negated_conjecture,
    ( ~ hskp33
    | epred23_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_253,c_0_255]) ).

cnf(c_0_401,negated_conjecture,
    ( ~ c2_1(a1033)
    | ~ hskp35
    | epred53_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_220]),c_0_256]) ).

cnf(c_0_402,negated_conjecture,
    ( ~ hskp11
    | hskp34
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_257]),c_0_258]),c_0_259]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ hskp47
    | epred21_0
    | epred53_0 ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ hskp57
    | epred53_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_106]),c_0_107]),c_0_72]) ).

cnf(c_0_405,negated_conjecture,
    ( ~ hskp29
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_26]),c_0_145]),c_0_98]) ).

cnf(c_0_406,negated_conjecture,
    ( ~ hskp29
    | epred44_0
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_262,c_0_202]) ).

cnf(c_0_407,negated_conjecture,
    ( ~ hskp56
    | epred48_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_142]),c_0_212]),c_0_102]) ).

cnf(c_0_408,negated_conjecture,
    ( ~ hskp29
    | epred11_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_263,c_0_202]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ hskp29
    | epred15_0
    | epred44_0 ),
    inference(spm,[status(thm)],[c_0_264,c_0_202]) ).

cnf(c_0_410,negated_conjecture,
    ( ~ hskp20
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_16]),c_0_266]),c_0_267]) ).

cnf(c_0_411,negated_conjecture,
    ( ~ hskp34
    | c0_1(a1032)
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_16]),c_0_241]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ hskp29
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_103]),c_0_145]),c_0_98]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ c2_1(a1033)
    | ~ hskp35
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_268]),c_0_256]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ hskp38
    | epred21_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_415,negated_conjecture,
    ( ~ hskp43
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_271]),c_0_272]),c_0_273]) ).

cnf(c_0_416,negated_conjecture,
    ( ~ hskp47
    | epred21_0
    | epred41_0 ),
    inference(spm,[status(thm)],[c_0_274,c_0_261]) ).

cnf(c_0_417,negated_conjecture,
    ( ~ hskp53
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_275]),c_0_276]),c_0_277]) ).

cnf(c_0_418,negated_conjecture,
    ( ~ hskp20
    | hskp10
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_278]),c_0_267]) ).

cnf(c_0_419,negated_conjecture,
    ( ~ hskp22
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_279]),c_0_280]),c_0_281]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ hskp15
    | epred21_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_282,c_0_251]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ hskp15
    | epred23_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_282,c_0_252]) ).

cnf(c_0_422,negated_conjecture,
    ( ~ hskp33
    | epred21_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_254]) ).

cnf(c_0_423,negated_conjecture,
    ( ~ hskp33
    | epred23_0
    | epred36_0 ),
    inference(spm,[status(thm)],[c_0_283,c_0_255]) ).

cnf(c_0_424,negated_conjecture,
    ( ~ c2_1(a1033)
    | ~ hskp35
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_220]),c_0_256]) ).

cnf(c_0_425,negated_conjecture,
    ( ~ hskp57
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_106]),c_0_107]),c_0_72]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ hskp38
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_149]),c_0_147]),c_0_148]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ c1_1(a1052)
    | ~ hskp45
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_42]),c_0_44]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ hskp47
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_140]),c_0_150]),c_0_141]) ).

cnf(c_0_429,negated_conjecture,
    ( ~ c2_1(a1081)
    | ~ hskp55
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_113]),c_0_116]) ).

cnf(c_0_430,negated_conjecture,
    ( ~ c1_1(a1085)
    | ~ hskp57
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_106]),c_0_72]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ hskp31
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_126]),c_0_285]),c_0_127]) ).

cnf(c_0_432,negated_conjecture,
    ( ~ hskp28
    | epred23_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_85]),c_0_287]),c_0_288]) ).

cnf(c_0_433,negated_conjecture,
    ( ~ hskp29
    | epred15_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_264,c_0_289]) ).

cnf(c_0_434,negated_conjecture,
    ( ~ c0_1(a1022)
    | ~ hskp30
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_229]),c_0_230]) ).

cnf(c_0_435,negated_conjecture,
    ( ~ hskp44
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_91]),c_0_291]),c_0_92]) ).

cnf(c_0_436,negated_conjecture,
    ( hskp17
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_294]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ hskp51
    | epred15_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_144]),c_0_296]),c_0_297]) ).

cnf(c_0_438,negated_conjecture,
    ( ~ hskp56
    | epred11_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_143]),c_0_212]),c_0_102]) ).

cnf(c_0_439,negated_conjecture,
    ( ~ hskp3
    | hskp1
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_36]),c_0_37]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ hskp21
    | hskp1
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_299]),c_0_233]),c_0_234]) ).

cnf(c_0_441,negated_conjecture,
    ( ~ hskp25
    | hskp1
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_299]),c_0_29]),c_0_30]) ).

cnf(c_0_442,negated_conjecture,
    ( hskp29
    | hskp30
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_301,c_0_5]) ).

cnf(c_0_443,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp1
    | epred14_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_128,c_0_99]) ).

cnf(c_0_444,negated_conjecture,
    ( ~ hskp1
    | epred38_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_164]),c_0_138]) ).

cnf(c_0_445,negated_conjecture,
    ( hskp17
    | epred38_0
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_293]),c_0_303]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp51
    | epred35_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_304]),c_0_9])]) ).

cnf(c_0_447,negated_conjecture,
    ( ~ hskp1
    | epred38_0
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_305]),c_0_138]) ).

cnf(c_0_448,negated_conjecture,
    ( ~ epred21_0
    | ~ epred50_0
    | ~ epred51_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_306,c_0_13]),c_0_10]),c_0_49]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ epred23_0
    | ~ epred48_0
    | ~ epred49_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_307,c_0_58]),c_0_50]),c_0_40]) ).

cnf(c_0_450,negated_conjecture,
    ( ~ epred23_0
    | ~ epred44_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_308,c_0_48]),c_0_51]),c_0_40]) ).

cnf(c_0_451,negated_conjecture,
    ( ~ epred41_0
    | ~ epred53_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(condense,[status(thm)],[c_0_309]),c_0_18]),c_0_61]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ epred36_0
    | ~ epred43_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_310,c_0_12]),c_0_21]) ).

cnf(c_0_453,negated_conjecture,
    ( ~ epred37_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_311,c_0_75]),c_0_22]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ epred35_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_312,c_0_304]),c_0_21]) ).

cnf(c_0_455,negated_conjecture,
    ( ~ epred15_0
    | ~ epred34_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_313,c_0_100]),c_0_60]) ).

cnf(c_0_456,negated_conjecture,
    ( ~ epred29_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_314,c_0_93]),c_0_53]) ).

cnf(c_0_457,negated_conjecture,
    ( ~ epred31_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_315,c_0_11]),c_0_154]) ).

cnf(c_0_458,negated_conjecture,
    ( ~ epred30_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_316,c_0_8]),c_0_154]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ epred28_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_317,c_0_55]),c_0_53]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ epred24_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_318,c_0_54]),c_0_19]) ).

cnf(c_0_461,negated_conjecture,
    ( ~ epred22_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_319,c_0_120]),c_0_40]) ).

cnf(c_0_462,negated_conjecture,
    ( ~ epred20_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_320,c_0_34]),c_0_49]) ).

cnf(c_0_463,negated_conjecture,
    ( ~ epred18_0
    | ~ epred19_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_321,c_0_38]),c_0_155]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ epred14_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_322,c_0_57]),c_0_60]) ).

cnf(c_0_465,negated_conjecture,
    ( ~ epred10_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_323,c_0_47]),c_0_59]) ).

cnf(c_0_466,negated_conjecture,
    ( ~ epred2_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_324,c_0_14]),c_0_56]) ).

cnf(c_0_467,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_325,c_0_160]),c_0_56]) ).

cnf(c_0_468,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a1088) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a1077) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_470,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1077) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_471,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a1036) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_472,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1036) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_473,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp43 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_474,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_326,c_0_327,c_0_328,c_0_329,c_0_330,c_0_331,c_0_332,c_0_333,c_0_334,c_0_335,c_0_336,c_0_337,c_0_338,c_0_339,c_0_340,c_0_341,c_0_342,c_0_343,c_0_344,c_0_345,c_0_346,c_0_347,c_0_348,c_0_349,c_0_350,c_0_351,c_0_352,c_0_353,c_0_354,c_0_355,c_0_356,c_0_357,c_0_358,c_0_359,c_0_360,c_0_361,c_0_362,c_0_363,c_0_364,c_0_365,c_0_366,c_0_367,c_0_368,c_0_369,c_0_370,c_0_371,c_0_372,c_0_373,c_0_374,c_0_375,c_0_376,c_0_377,c_0_378,c_0_379,c_0_380,c_0_381,c_0_382,c_0_383,c_0_384,c_0_385,c_0_386,c_0_387,c_0_188,c_0_388,c_0_389,c_0_390,c_0_391,c_0_392,c_0_393,c_0_394,c_0_395,c_0_245,c_0_396,c_0_397,c_0_398,c_0_399,c_0_400,c_0_401,c_0_402,c_0_403,c_0_404,c_0_405,c_0_406,c_0_407,c_0_408,c_0_409,c_0_202,c_0_410,c_0_411,c_0_412,c_0_413,c_0_414,c_0_269,c_0_415,c_0_416,c_0_274,c_0_417,c_0_418,c_0_151,c_0_419,c_0_153,c_0_420,c_0_421,c_0_422,c_0_423,c_0_424,c_0_425,c_0_426,c_0_427,c_0_428,c_0_429,c_0_430,c_0_431,c_0_249,c_0_432,c_0_433,c_0_289,c_0_225,c_0_434,c_0_435,c_0_436,c_0_437,c_0_438,c_0_439,c_0_440,c_0_441,c_0_442,c_0_88,c_0_213,c_0_443,c_0_444,c_0_445,c_0_446,c_0_447,c_0_128,c_0_448,c_0_449,c_0_450,c_0_451,c_0_452,c_0_453,c_0_454,c_0_455,c_0_456,c_0_457,c_0_458,c_0_459,c_0_460,c_0_461,c_0_462,c_0_463,c_0_464,c_0_465,c_0_466,c_0_467,c_0_101,c_0_102,c_0_114,c_0_92,c_0_78,c_0_133,c_0_83,c_0_241,c_0_70,c_0_230,c_0_97,c_0_98,c_0_86,c_0_27,c_0_30,c_0_468,c_0_232,c_0_231,c_0_469,c_0_470,c_0_65,c_0_33,c_0_31,c_0_471,c_0_472,c_0_139,c_0_163,c_0_161,c_0_72,c_0_141,c_0_44,c_0_82,c_0_148,c_0_69,c_0_64,c_0_138,c_0_116,c_0_91,c_0_229,c_0_107,c_0_212,c_0_43,c_0_291,c_0_236,c_0_256,c_0_162,c_0_473,c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN447+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37  % Computer : n019.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Mon Sep 21 10:57:20 UTC 2026
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.90/3.35  % Version: 3.5.1
% 21.90/3.35  % Preprocessing class: FSLMSLSMSSSNFFN.
% 21.90/3.35  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.90/3.35  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 21.90/3.35  % Starting new_bool_3 with 600s (2) cores
% 21.90/3.35  % Starting new_bool_1 with 600s (2) cores
% 21.90/3.35  % Starting sh5l with 300s (1) cores
% 21.90/3.35  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2395541 completed with status 0
% 21.90/3.35  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 21.90/3.35  % Preprocessing class: FSLMSLSMSSSNFFN.
% 21.90/3.35  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.90/3.35  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 21.90/3.35  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.90/3.35  % No SInE strategy applied
% 21.90/3.35  % Search class: FGHNF-FSMS00-SFFFFFNN
% 21.90/3.35  % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 21.90/3.35  % Starting SubtermCWHack with 91s (1) cores
% 21.90/3.35  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 541s (1) cores
% 21.90/3.35  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 91s (1) cores
% 21.90/3.35  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 2395558 completed with status 0
% 21.90/3.35  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 21.90/3.35  % Preprocessing class: FSLMSLSMSSSNFFN.
% 21.90/3.35  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 21.90/3.35  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 900s (3) cores
% 21.90/3.35  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 21.90/3.35  % No SInE strategy applied
% 21.90/3.35  % Search class: FGHNF-FSMS00-SFFFFFNN
% 21.90/3.35  % Scheduled 5 strats onto 3 cores with 900 seconds (900 total)
% 21.90/3.35  % Starting SubtermCWHack with 91s (1) cores
% 21.90/3.35  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 541s (1) cores
% 21.90/3.35  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 91s (1) cores
% 21.90/3.35  % Preprocessing time       : 0.005 s
% 21.90/3.35  % SatCheck found unsatisfiable ground set
% 21.90/3.35  
% 21.90/3.35  % Proof found!
% 21.90/3.35  % SZS status Theorem
% 21.90/3.35  % SZS output start CNFRefutation
% See solution above
% 21.90/3.36  % Parsed axioms                        : 1
% 21.90/3.36  % Removed by relevancy pruning/SinE    : 0
% 21.90/3.36  % Initial clauses                      : 316
% 21.90/3.36  % Removed in clause preprocessing      : 0
% 21.90/3.36  % Initial clauses in saturation        : 316
% 21.90/3.36  % Processed clauses                    : 7268
% 21.90/3.36  % ...of these trivial                  : 0
% 21.90/3.36  % ...subsumed                          : 2268
% 21.90/3.36  % ...remaining for further processing  : 5000
% 21.90/3.36  % Other redundant clauses eliminated   : 0
% 21.90/3.36  % Clauses deleted for lack of memory   : 0
% 21.90/3.36  % Backward-subsumed                    : 784
% 21.90/3.36  % Backward-rewritten                   : 87
% 21.90/3.36  % Generated clauses                    : 47708
% 21.90/3.36  % ...of the previous two non-redundant : 43751
% 21.90/3.36  % ...aggressively subsumed             : 0
% 21.90/3.36  % Contextual simplify-reflections      : 862
% 21.90/3.36  % Paramodulations                      : 47623
% 21.90/3.36  % Factorizations                       : 0
% 21.90/3.36  % NegExts                              : 0
% 21.90/3.36  % Equation resolutions                 : 0
% 21.90/3.36  % Disequality decompositions           : 0
% 21.90/3.36  % Total rewrite steps                  : 117
% 21.90/3.36  % ...of those cached                   : 116
% 21.90/3.36  % Propositional unsat checks           : 1
% 21.90/3.36  %    Propositional check models        : 0
% 21.90/3.36  %    Propositional check unsatisfiable : 1
% 21.90/3.36  %    Propositional clauses             : 40526
% 21.90/3.36  %    Propositional clauses after purity: 39325
% 21.90/3.36  %    Propositional unsat core size     : 203
% 21.90/3.36  %    Propositional preprocessing time  : 0.000
% 21.90/3.36  %    Propositional encoding time       : 0.032
% 21.90/3.36  %    Propositional solver time         : 0.086
% 21.90/3.36  %    Success case prop preproc time    : 0.000
% 21.90/3.36  %    Success case prop encoding time   : 0.032
% 21.90/3.36  %    Success case prop solver time     : 0.086
% 21.90/3.36  % Current number of processed clauses  : 4097
% 21.90/3.36  %    Positive orientable unit clauses  : 1
% 21.90/3.36  %    Positive unorientable unit clauses: 0
% 21.90/3.36  %    Negative unit clauses             : 0
% 21.90/3.36  %    Non-unit-clauses                  : 4096
% 21.90/3.36  % Current number of unprocessed clauses: 36429
% 21.90/3.36  % ...number of literals in the above   : 245613
% 21.90/3.36  % Current number of archived formulas  : 0
% 21.90/3.36  % Current number of archived clauses   : 871
% 21.90/3.36  % Clause-clause subsumption calls (NU) : 4796751
% 21.90/3.36  % Rec. Clause-clause subsumption calls : 506255
% 21.90/3.36  % Non-unit clause-clause subsumptions  : 3947
% 21.90/3.36  % Unit Clause-clause subsumption calls : 7
% 21.90/3.36  % Rewrite failures with RHS unbound    : 0
% 21.90/3.36  % BW rewrite match attempts            : 1
% 21.90/3.36  % BW rewrite match successes           : 1
% 21.90/3.36  % Condensation attempts                : 7268
% 21.90/3.36  % Condensation successes               : 1
% 21.90/3.36  % Termbank termtop insertions          : 505373
% 21.90/3.36  % Search garbage collected termcells   : 1891
% 21.90/3.36  
% 21.90/3.36  % -------------------------------------------------
% 21.90/3.36  % User time                : 2.764 s
% 21.90/3.36  % System time              : 0.083 s
% 21.90/3.36  % Total time               : 2.847 s
% 21.90/3.36  % Maximum resident set size: 4732 pages
% 21.90/3.36  
% 21.90/3.36  % -------------------------------------------------
% 21.90/3.36  % User time                : 8.319 s
% 21.90/3.36  % System time              : 0.236 s
% 21.90/3.36  % Total time               : 8.555 s
% 21.90/3.36  % Maximum resident set size: 5120 pages
% 21.90/3.36  % E exiting
%------------------------------------------------------------------------------