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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN511+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 03:25:14 PM UTC 2026

% Result   : Theorem 15.34s 3.25s
% Output   : CNFRefutation 15.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  295 (   2 unt;   0 def)
%            Number of atoms       : 4383 (   0 equ)
%            Maximal formula atoms :  867 (  14 avg)
%            Number of connectives : 6065 (1977   ~;2866   |; 812   &)
%                                         (  29 <=>; 381  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  333 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   66 (  65 usr;  62 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  671 (   0 sgn 537   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( hskp5
        | hskp25
        | hskp7 )
      & ( hskp0
        | hskp8
        | hskp22 )
      & ( hskp16
        | hskp0
        | hskp29 )
      & ( hskp4
        | hskp18
        | hskp24 )
      & ( hskp2
        | hskp21
        | hskp11 )
      & ( hskp12
        | hskp26
        | hskp30 )
      & ( hskp25
        | hskp12
        | hskp13 )
      & ( hskp9
        | hskp19
        | hskp28 )
      & ( hskp11
        | hskp30
        | hskp28 )
      & ( hskp18
        | hskp24
        | hskp27 )
      & ( hskp16
        | hskp23
        | ! [X127] :
            ( ndr1_0
           => ( ~ c3_1(X127)
              | ~ c2_1(X127)
              | ~ c1_1(X127) ) ) )
      & ( ! [X126] :
            ( ndr1_0
           => ( ~ c3_1(X126)
              | ~ c2_1(X126)
              | ~ c1_1(X126) ) )
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c0_1(X125) ) ) )
      & ( hskp5
        | hskp9
        | ! [X124] :
            ( ndr1_0
           => ( ~ c2_1(X124)
              | ~ c1_1(X124)
              | ~ c0_1(X124) ) ) )
      & ( hskp21
        | hskp1
        | ! [X123] :
            ( ndr1_0
           => ( ~ c2_1(X123)
              | ~ c1_1(X123)
              | c3_1(X123) ) ) )
      & ( hskp21
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c2_1(X122)
              | ~ c0_1(X122) ) )
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c1_1(X121)
              | c3_1(X121) ) ) )
      & ( hskp24
        | hskp14
        | ! [X120] :
            ( ndr1_0
           => ( ~ c1_1(X120)
              | ~ c0_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp17
        | hskp14
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c1_1(X119)
              | c2_1(X119) ) ) )
      & ( hskp10
        | hskp28
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c1_1(X118)
              | c2_1(X118) ) ) )
      & ( hskp4
        | hskp15
        | ! [X117] :
            ( ndr1_0
           => ( ~ c3_1(X117)
              | ~ c0_1(X117)
              | c2_1(X117) ) ) )
      & ( hskp5
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c2_1(X116)
              | ~ c0_1(X116) ) )
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | c3_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp19
        | hskp24
        | ! [X114] :
            ( ndr1_0
           => ( ~ c2_1(X114)
              | ~ c0_1(X114)
              | c1_1(X114) ) ) )
      & ( hskp23
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | c1_1(X113) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c0_1(X112)
              | c1_1(X112) ) ) )
      & ( hskp1
        | hskp27
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | c3_1(X111)
              | c1_1(X111) ) ) )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c0_1(X110)
              | c3_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c3_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) )
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | c3_1(X108)
              | c1_1(X108) ) ) )
      & ( hskp13
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | c1_1(X107) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | c3_1(X106)
              | c1_1(X106) ) ) )
      & ( hskp15
        | hskp29
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c1_1(X105) ) ) )
      & ( hskp19
        | hskp20
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c1_1(X104) ) ) )
      & ( ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | ~ c1_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c0_1(X102)
              | c3_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c0_1(X101)
              | c3_1(X101)
              | c1_1(X101) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | ~ c1_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | c3_1(X99)
              | c1_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | c3_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp0
        | hskp20
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | c2_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp16
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c1_1(X96)
              | ~ c0_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | c2_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp10
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c1_1(X94)
              | c3_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | c2_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp2
        | hskp9
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c2_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp22
        | hskp21
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c2_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp15
        | hskp1
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp13
        | hskp20
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c2_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp19
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | ~ c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp6
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp18
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | ~ c1_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c3_1(X83)
              | c2_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp16
        | hskp11
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c0_1(X82) ) ) )
      & ( hskp4
        | hskp6
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c1_1(X81)
              | c0_1(X81) ) ) )
      & ( hskp17
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c3_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c1_1(X79)
              | c0_1(X79) ) ) )
      & ( hskp16
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | ~ c0_1(X78)
              | c3_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c1_1(X77)
              | c0_1(X77) ) ) )
      & ( hskp3
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c0_1(X76)
              | c1_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c1_1(X75)
              | c0_1(X75) ) ) )
      & ( hskp15
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c1_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp10
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | ~ c0_1(X72)
              | c3_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c1_1(X71)
              | c0_1(X71) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( ~ c1_1(X70)
              | ~ c0_1(X70)
              | c2_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c3_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c0_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c1_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp27
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | ~ c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp1
        | hskp14
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c3_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp10
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c2_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | c3_1(X58)
              | c0_1(X58) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | c3_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp4
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c3_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp12
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c0_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | ~ c0_1(X49)
              | c2_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp8
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c0_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp0
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp7
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c0_1(X43)
              | c2_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | ~ c0_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c0_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c2_1(X37)
              | c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c2_1(X35)
              | ~ c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp9
        | hskp13
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp7
        | hskp28
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp6
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp12
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | ~ c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c2_1(X26)
              | ~ c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | ~ c0_1(X25)
              | c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp11
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c2_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c0_1(X21)
              | c2_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c1_1(X20)
              | c0_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp2
        | hskp10
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp9
        | hskp8
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp28
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | ~ c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c1_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c0_1(X13)
              | c3_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp5
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | c2_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp27
        | ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | c2_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp7
        | hskp6
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp5
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c3_1(X6)
              | c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp4
        | hskp3
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp2
        | hskp1
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( hskp0
        | ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | ~ c0_1(X2)
              | c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) ) )
      & ( ( c3_1(a753)
          & c2_1(a753)
          & c0_1(a753)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a725)
          & c2_1(a725)
          & c1_1(a725)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a678)
          & c1_1(a678)
          & c0_1(a678)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c2_1(a676)
          & c1_1(a676)
          & c0_1(a676)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a762)
          & ~ c0_1(a762)
          & c1_1(a762)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a760)
          & ~ c1_1(a760)
          & ~ c0_1(a760)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a731)
          & ~ c1_1(a731)
          & c0_1(a731)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a730)
          & c2_1(a730)
          & c0_1(a730)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a716)
          & c2_1(a716)
          & c1_1(a716)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a715)
          & ~ c2_1(a715)
          & c0_1(a715)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a711)
          & c1_1(a711)
          & c0_1(a711)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a710)
          & c2_1(a710)
          & c1_1(a710)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a708)
          & ~ c1_1(a708)
          & c3_1(a708)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a703)
          & ~ c0_1(a703)
          & c1_1(a703)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a702)
          & c3_1(a702)
          & c2_1(a702)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a700)
          & ~ c0_1(a700)
          & c2_1(a700)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a696)
          & c2_1(a696)
          & c0_1(a696)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a688)
          & c1_1(a688)
          & c0_1(a688)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a684)
          & ~ c0_1(a684)
          & c3_1(a684)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a683)
          & c3_1(a683)
          & c0_1(a683)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c0_1(a681)
          & c3_1(a681)
          & c2_1(a681)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a680)
          & ~ c1_1(a680)
          & c2_1(a680)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a679)
          & c3_1(a679)
          & c1_1(a679)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a675)
          & c3_1(a675)
          & c1_1(a675)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a674)
          & c3_1(a674)
          & c0_1(a674)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a673)
          & ~ c2_1(a673)
          & ~ c0_1(a673)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a672)
          & ~ c1_1(a672)
          & ~ c0_1(a672)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a671)
          & ~ c0_1(a671)
          & c2_1(a671)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a670)
          & ~ c0_1(a670)
          & c3_1(a670)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a669)
          & ~ c1_1(a669)
          & c0_1(a669)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a668)
          & ~ c2_1(a668)
          & c1_1(a668)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( hskp5
          | hskp25
          | hskp7 )
        & ( hskp0
          | hskp8
          | hskp22 )
        & ( hskp16
          | hskp0
          | hskp29 )
        & ( hskp4
          | hskp18
          | hskp24 )
        & ( hskp2
          | hskp21
          | hskp11 )
        & ( hskp12
          | hskp26
          | hskp30 )
        & ( hskp25
          | hskp12
          | hskp13 )
        & ( hskp9
          | hskp19
          | hskp28 )
        & ( hskp11
          | hskp30
          | hskp28 )
        & ( hskp18
          | hskp24
          | hskp27 )
        & ( hskp16
          | hskp23
          | ! [X127] :
              ( ndr1_0
             => ( ~ c3_1(X127)
                | ~ c2_1(X127)
                | ~ c1_1(X127) ) ) )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c3_1(X126)
                | ~ c2_1(X126)
                | ~ c1_1(X126) ) )
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c0_1(X125) ) ) )
        & ( hskp5
          | hskp9
          | ! [X124] :
              ( ndr1_0
             => ( ~ c2_1(X124)
                | ~ c1_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp21
          | hskp1
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | c3_1(X123) ) ) )
        & ( hskp21
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | ~ c0_1(X122) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | c3_1(X121) ) ) )
        & ( hskp24
          | hskp14
          | ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | ~ c0_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp17
          | hskp14
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c1_1(X119)
                | c2_1(X119) ) ) )
        & ( hskp10
          | hskp28
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c1_1(X118)
                | c2_1(X118) ) ) )
        & ( hskp4
          | hskp15
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c0_1(X117)
                | c2_1(X117) ) ) )
        & ( hskp5
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c2_1(X116)
                | ~ c0_1(X116) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | c3_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp19
          | hskp24
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c0_1(X114)
                | c1_1(X114) ) ) )
        & ( hskp23
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | c1_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c0_1(X112)
                | c1_1(X112) ) ) )
        & ( hskp1
          | hskp27
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | c3_1(X111)
                | c1_1(X111) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c0_1(X110)
                | c3_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c3_1(X108)
                | c1_1(X108) ) ) )
        & ( hskp13
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | c1_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c3_1(X106)
                | c1_1(X106) ) ) )
        & ( hskp15
          | hskp29
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp19
          | hskp20
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c1_1(X104) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c1_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | c1_1(X101) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | ~ c1_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c3_1(X99)
                | c1_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp0
          | hskp20
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c2_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp16
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c2_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp10
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c1_1(X94)
                | c3_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c2_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp2
          | hskp9
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp22
          | hskp21
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c2_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp15
          | hskp1
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp13
          | hskp20
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp19
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp6
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp18
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp16
          | hskp11
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp4
          | hskp6
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp17
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp16
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c0_1(X78)
                | c3_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp3
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c0_1(X76)
                | c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp15
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp10
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c0_1(X72)
                | c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c0_1(X70)
                | c2_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c0_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp27
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp1
          | hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp10
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp4
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c3_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp12
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c0_1(X49)
                | c2_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp8
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c0_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp0
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp7
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c2_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c2_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp9
          | hskp13
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp7
          | hskp28
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp6
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp12
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp11
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp2
          | hskp10
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp9
          | hskp8
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp28
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c1_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp5
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c2_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp27
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c2_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp7
          | hskp6
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp5
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c3_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp4
          | hskp3
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp2
          | hskp1
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp0
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | ~ c0_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( ( c3_1(a753)
            & c2_1(a753)
            & c0_1(a753)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a725)
            & c2_1(a725)
            & c1_1(a725)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a678)
            & c1_1(a678)
            & c0_1(a678)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a676)
            & c1_1(a676)
            & c0_1(a676)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a762)
            & ~ c0_1(a762)
            & c1_1(a762)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a760)
            & ~ c1_1(a760)
            & ~ c0_1(a760)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a731)
            & ~ c1_1(a731)
            & c0_1(a731)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a730)
            & c2_1(a730)
            & c0_1(a730)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a716)
            & c2_1(a716)
            & c1_1(a716)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a715)
            & ~ c2_1(a715)
            & c0_1(a715)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a711)
            & c1_1(a711)
            & c0_1(a711)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a710)
            & c2_1(a710)
            & c1_1(a710)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a708)
            & ~ c1_1(a708)
            & c3_1(a708)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a703)
            & ~ c0_1(a703)
            & c1_1(a703)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a702)
            & c3_1(a702)
            & c2_1(a702)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a700)
            & ~ c0_1(a700)
            & c2_1(a700)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a696)
            & c2_1(a696)
            & c0_1(a696)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a688)
            & c1_1(a688)
            & c0_1(a688)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a684)
            & ~ c0_1(a684)
            & c3_1(a684)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a683)
            & c3_1(a683)
            & c0_1(a683)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a681)
            & c3_1(a681)
            & c2_1(a681)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a680)
            & ~ c1_1(a680)
            & c2_1(a680)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a679)
            & c3_1(a679)
            & c1_1(a679)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a675)
            & c3_1(a675)
            & c1_1(a675)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a674)
            & c3_1(a674)
            & c0_1(a674)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a673)
            & ~ c2_1(a673)
            & ~ c0_1(a673)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a672)
            & ~ c1_1(a672)
            & ~ c0_1(a672)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a671)
            & ~ c0_1(a671)
            & c2_1(a671)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a670)
            & ~ c0_1(a670)
            & c3_1(a670)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a669)
            & ~ c1_1(a669)
            & c0_1(a669)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a668)
            & ~ c2_1(a668)
            & c1_1(a668)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ( ( hskp5
          | hskp25
          | hskp7 )
        & ( hskp0
          | hskp8
          | hskp22 )
        & ( hskp16
          | hskp0
          | hskp29 )
        & ( hskp4
          | hskp18
          | hskp24 )
        & ( hskp2
          | hskp21
          | hskp11 )
        & ( hskp12
          | hskp26
          | hskp30 )
        & ( hskp25
          | hskp12
          | hskp13 )
        & ( hskp9
          | hskp19
          | hskp28 )
        & ( hskp11
          | hskp30
          | hskp28 )
        & ( hskp18
          | hskp24
          | hskp27 )
        & ( hskp16
          | hskp23
          | ! [X127] :
              ( ndr1_0
             => ( ~ c3_1(X127)
                | ~ c2_1(X127)
                | ~ c1_1(X127) ) ) )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c3_1(X126)
                | ~ c2_1(X126)
                | ~ c1_1(X126) ) )
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c0_1(X125) ) ) )
        & ( hskp5
          | hskp9
          | ! [X124] :
              ( ndr1_0
             => ( ~ c2_1(X124)
                | ~ c1_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp21
          | hskp1
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | ~ c1_1(X123)
                | c3_1(X123) ) ) )
        & ( hskp21
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | ~ c0_1(X122) ) )
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | c3_1(X121) ) ) )
        & ( hskp24
          | hskp14
          | ! [X120] :
              ( ndr1_0
             => ( ~ c1_1(X120)
                | ~ c0_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp17
          | hskp14
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c1_1(X119)
                | c2_1(X119) ) ) )
        & ( hskp10
          | hskp28
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c1_1(X118)
                | c2_1(X118) ) ) )
        & ( hskp4
          | hskp15
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c0_1(X117)
                | c2_1(X117) ) ) )
        & ( hskp5
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c2_1(X116)
                | ~ c0_1(X116) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | c3_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp19
          | hskp24
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c0_1(X114)
                | c1_1(X114) ) ) )
        & ( hskp23
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | c1_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c0_1(X112)
                | c1_1(X112) ) ) )
        & ( hskp1
          | hskp27
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | c3_1(X111)
                | c1_1(X111) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c0_1(X110)
                | c3_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c3_1(X108)
                | c1_1(X108) ) ) )
        & ( hskp13
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | c1_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c3_1(X106)
                | c1_1(X106) ) ) )
        & ( hskp15
          | hskp29
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp19
          | hskp20
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c1_1(X104) ) ) )
        & ( ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c1_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c0_1(X101)
                | c3_1(X101)
                | c1_1(X101) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | ~ c1_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c3_1(X99)
                | c1_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp0
          | hskp20
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c2_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp16
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c2_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp10
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c1_1(X94)
                | c3_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c2_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp2
          | hskp9
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp22
          | hskp21
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c2_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp15
          | hskp1
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp13
          | hskp20
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp19
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp6
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp18
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp16
          | hskp11
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp4
          | hskp6
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp17
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp16
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c0_1(X78)
                | c3_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c1_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp3
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c0_1(X76)
                | c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp15
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp10
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c0_1(X72)
                | c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | ~ c0_1(X70)
                | c2_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c0_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp27
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp1
          | hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp10
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c2_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp4
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c3_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp12
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c0_1(X49)
                | c2_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp8
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c0_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp0
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp7
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c2_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c2_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp9
          | hskp13
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp7
          | hskp28
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp6
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp12
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp11
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp2
          | hskp10
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp9
          | hskp8
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp28
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c1_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp5
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c2_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp27
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c2_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp7
          | hskp6
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp5
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c3_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp4
          | hskp3
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp2
          | hskp1
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp0
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | ~ c0_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( ( c3_1(a753)
            & c2_1(a753)
            & c0_1(a753)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a725)
            & c2_1(a725)
            & c1_1(a725)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a678)
            & c1_1(a678)
            & c0_1(a678)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a676)
            & c1_1(a676)
            & c0_1(a676)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a762)
            & ~ c0_1(a762)
            & c1_1(a762)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a760)
            & ~ c1_1(a760)
            & ~ c0_1(a760)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a731)
            & ~ c1_1(a731)
            & c0_1(a731)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a730)
            & c2_1(a730)
            & c0_1(a730)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a716)
            & c2_1(a716)
            & c1_1(a716)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a715)
            & ~ c2_1(a715)
            & c0_1(a715)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a711)
            & c1_1(a711)
            & c0_1(a711)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a710)
            & c2_1(a710)
            & c1_1(a710)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a708)
            & ~ c1_1(a708)
            & c3_1(a708)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a703)
            & ~ c0_1(a703)
            & c1_1(a703)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a702)
            & c3_1(a702)
            & c2_1(a702)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a700)
            & ~ c0_1(a700)
            & c2_1(a700)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a696)
            & c2_1(a696)
            & c0_1(a696)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a688)
            & c1_1(a688)
            & c0_1(a688)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a684)
            & ~ c0_1(a684)
            & c3_1(a684)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a683)
            & c3_1(a683)
            & c0_1(a683)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c0_1(a681)
            & c3_1(a681)
            & c2_1(a681)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a680)
            & ~ c1_1(a680)
            & c2_1(a680)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a679)
            & c3_1(a679)
            & c1_1(a679)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a675)
            & c3_1(a675)
            & c1_1(a675)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a674)
            & c3_1(a674)
            & c0_1(a674)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a673)
            & ~ c2_1(a673)
            & ~ c0_1(a673)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a672)
            & ~ c1_1(a672)
            & ~ c0_1(a672)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a671)
            & ~ c0_1(a671)
            & c2_1(a671)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a670)
            & ~ c0_1(a670)
            & c3_1(a670)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a669)
            & ~ c1_1(a669)
            & c0_1(a669)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a668)
            & ~ c2_1(a668)
            & c1_1(a668)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ! [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,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254] :
      ( ( hskp5
        | hskp25
        | hskp7 )
      & ( hskp0
        | hskp8
        | hskp22 )
      & ( hskp16
        | hskp0
        | hskp29 )
      & ( hskp4
        | hskp18
        | hskp24 )
      & ( hskp2
        | hskp21
        | hskp11 )
      & ( hskp12
        | hskp26
        | hskp30 )
      & ( hskp25
        | hskp12
        | hskp13 )
      & ( hskp9
        | hskp19
        | hskp28 )
      & ( hskp11
        | hskp30
        | hskp28 )
      & ( hskp18
        | hskp24
        | hskp27 )
      & ( hskp16
        | hskp23
        | ~ c3_1(X254)
        | ~ c2_1(X254)
        | ~ c1_1(X254)
        | ~ ndr1_0 )
      & ( ~ c3_1(X253)
        | ~ c2_1(X253)
        | ~ c1_1(X253)
        | ~ ndr1_0
        | ~ c3_1(X252)
        | ~ c2_1(X252)
        | ~ c0_1(X252)
        | ~ ndr1_0 )
      & ( hskp5
        | hskp9
        | ~ c2_1(X251)
        | ~ c1_1(X251)
        | ~ c0_1(X251)
        | ~ ndr1_0 )
      & ( hskp21
        | hskp1
        | ~ c2_1(X250)
        | ~ c1_1(X250)
        | c3_1(X250)
        | ~ ndr1_0 )
      & ( hskp21
        | ~ c3_1(X249)
        | ~ c2_1(X249)
        | ~ c0_1(X249)
        | ~ ndr1_0
        | ~ c2_1(X248)
        | ~ c1_1(X248)
        | c3_1(X248)
        | ~ ndr1_0 )
      & ( hskp24
        | hskp14
        | ~ c1_1(X247)
        | ~ c0_1(X247)
        | c3_1(X247)
        | ~ ndr1_0 )
      & ( hskp17
        | hskp14
        | ~ c3_1(X246)
        | ~ c1_1(X246)
        | c2_1(X246)
        | ~ ndr1_0 )
      & ( hskp10
        | hskp28
        | ~ c3_1(X245)
        | ~ c1_1(X245)
        | c2_1(X245)
        | ~ ndr1_0 )
      & ( hskp4
        | hskp15
        | ~ c3_1(X244)
        | ~ c0_1(X244)
        | c2_1(X244)
        | ~ ndr1_0 )
      & ( hskp5
        | ~ c3_1(X243)
        | ~ c2_1(X243)
        | ~ c0_1(X243)
        | ~ ndr1_0
        | ~ c1_1(X242)
        | c3_1(X242)
        | c2_1(X242)
        | ~ ndr1_0 )
      & ( hskp19
        | hskp24
        | ~ c2_1(X241)
        | ~ c0_1(X241)
        | c1_1(X241)
        | ~ ndr1_0 )
      & ( hskp23
        | ~ c3_1(X240)
        | ~ c2_1(X240)
        | c1_1(X240)
        | ~ ndr1_0
        | ~ c2_1(X239)
        | ~ c0_1(X239)
        | c1_1(X239)
        | ~ ndr1_0 )
      & ( hskp1
        | hskp27
        | ~ c2_1(X238)
        | c3_1(X238)
        | c1_1(X238)
        | ~ ndr1_0 )
      & ( ~ c2_1(X237)
        | ~ c0_1(X237)
        | c3_1(X237)
        | ~ ndr1_0
        | ~ c3_1(X236)
        | ~ c0_1(X236)
        | c2_1(X236)
        | ~ ndr1_0
        | ~ c2_1(X235)
        | c3_1(X235)
        | c1_1(X235)
        | ~ ndr1_0 )
      & ( hskp13
        | ~ c3_1(X234)
        | ~ c2_1(X234)
        | c1_1(X234)
        | ~ ndr1_0
        | ~ c2_1(X233)
        | c3_1(X233)
        | c1_1(X233)
        | ~ ndr1_0 )
      & ( hskp15
        | hskp29
        | ~ c0_1(X232)
        | c3_1(X232)
        | c1_1(X232)
        | ~ ndr1_0 )
      & ( hskp19
        | hskp20
        | ~ c0_1(X231)
        | c3_1(X231)
        | c1_1(X231)
        | ~ ndr1_0 )
      & ( ~ c3_1(X230)
        | ~ c2_1(X230)
        | ~ c1_1(X230)
        | ~ ndr1_0
        | ~ c1_1(X229)
        | ~ c0_1(X229)
        | c3_1(X229)
        | ~ ndr1_0
        | ~ c0_1(X228)
        | c3_1(X228)
        | c1_1(X228)
        | ~ ndr1_0 )
      & ( ~ c3_1(X227)
        | ~ c2_1(X227)
        | ~ c1_1(X227)
        | ~ ndr1_0
        | ~ c2_1(X226)
        | c3_1(X226)
        | c1_1(X226)
        | ~ ndr1_0
        | ~ c0_1(X225)
        | c3_1(X225)
        | c1_1(X225)
        | ~ ndr1_0 )
      & ( hskp0
        | hskp20
        | ~ c3_1(X224)
        | c2_1(X224)
        | c1_1(X224)
        | ~ ndr1_0 )
      & ( hskp16
        | ~ c3_1(X223)
        | ~ c1_1(X223)
        | ~ c0_1(X223)
        | ~ ndr1_0
        | ~ c3_1(X222)
        | c2_1(X222)
        | c1_1(X222)
        | ~ ndr1_0 )
      & ( hskp10
        | ~ c2_1(X221)
        | ~ c1_1(X221)
        | c3_1(X221)
        | ~ ndr1_0
        | ~ c3_1(X220)
        | c2_1(X220)
        | c1_1(X220)
        | ~ ndr1_0 )
      & ( hskp2
        | hskp9
        | ~ c0_1(X219)
        | c2_1(X219)
        | c1_1(X219)
        | ~ ndr1_0 )
      & ( hskp22
        | hskp21
        | ~ c0_1(X218)
        | c2_1(X218)
        | c1_1(X218)
        | ~ ndr1_0 )
      & ( hskp15
        | hskp1
        | ~ c0_1(X217)
        | c2_1(X217)
        | c1_1(X217)
        | ~ ndr1_0 )
      & ( hskp13
        | hskp20
        | ~ c0_1(X216)
        | c2_1(X216)
        | c1_1(X216)
        | ~ ndr1_0 )
      & ( hskp19
        | ~ c3_1(X215)
        | ~ c2_1(X215)
        | ~ c1_1(X215)
        | ~ ndr1_0
        | ~ c0_1(X214)
        | c2_1(X214)
        | c1_1(X214)
        | ~ ndr1_0 )
      & ( hskp6
        | ~ c3_1(X213)
        | ~ c0_1(X213)
        | c1_1(X213)
        | ~ ndr1_0
        | ~ c0_1(X212)
        | c2_1(X212)
        | c1_1(X212)
        | ~ ndr1_0 )
      & ( hskp18
        | ~ c3_1(X211)
        | ~ c2_1(X211)
        | ~ c1_1(X211)
        | ~ ndr1_0
        | c3_1(X210)
        | c2_1(X210)
        | c1_1(X210)
        | ~ ndr1_0 )
      & ( hskp16
        | hskp11
        | ~ c3_1(X209)
        | ~ c2_1(X209)
        | c0_1(X209)
        | ~ ndr1_0 )
      & ( hskp4
        | hskp6
        | ~ c3_1(X208)
        | ~ c1_1(X208)
        | c0_1(X208)
        | ~ ndr1_0 )
      & ( hskp17
        | ~ c2_1(X207)
        | ~ c0_1(X207)
        | c3_1(X207)
        | ~ ndr1_0
        | ~ c3_1(X206)
        | ~ c1_1(X206)
        | c0_1(X206)
        | ~ ndr1_0 )
      & ( hskp16
        | ~ c1_1(X205)
        | ~ c0_1(X205)
        | c3_1(X205)
        | ~ ndr1_0
        | ~ c3_1(X204)
        | ~ c1_1(X204)
        | c0_1(X204)
        | ~ ndr1_0 )
      & ( hskp3
        | ~ c2_1(X203)
        | ~ c0_1(X203)
        | c1_1(X203)
        | ~ ndr1_0
        | ~ c3_1(X202)
        | ~ c1_1(X202)
        | c0_1(X202)
        | ~ ndr1_0 )
      & ( hskp15
        | ~ c3_1(X201)
        | ~ c1_1(X201)
        | ~ c0_1(X201)
        | ~ ndr1_0
        | ~ c2_1(X200)
        | ~ c1_1(X200)
        | c0_1(X200)
        | ~ ndr1_0 )
      & ( hskp10
        | ~ c1_1(X199)
        | ~ c0_1(X199)
        | c3_1(X199)
        | ~ ndr1_0
        | ~ c2_1(X198)
        | ~ c1_1(X198)
        | c0_1(X198)
        | ~ ndr1_0 )
      & ( ~ c1_1(X197)
        | ~ c0_1(X197)
        | c2_1(X197)
        | ~ ndr1_0
        | ~ c0_1(X196)
        | c3_1(X196)
        | c2_1(X196)
        | ~ ndr1_0
        | ~ c2_1(X195)
        | ~ c1_1(X195)
        | c0_1(X195)
        | ~ ndr1_0 )
      & ( ~ c3_1(X194)
        | ~ c0_1(X194)
        | c1_1(X194)
        | ~ ndr1_0
        | ~ c2_1(X193)
        | ~ c1_1(X193)
        | c0_1(X193)
        | ~ ndr1_0 )
      & ( hskp27
        | ~ c3_1(X192)
        | c2_1(X192)
        | c1_1(X192)
        | ~ ndr1_0
        | ~ c2_1(X191)
        | ~ c1_1(X191)
        | c0_1(X191)
        | ~ ndr1_0 )
      & ( ~ c3_1(X190)
        | ~ c2_1(X190)
        | ~ c1_1(X190)
        | ~ ndr1_0
        | ~ c3_1(X189)
        | ~ c2_1(X189)
        | c0_1(X189)
        | ~ ndr1_0
        | ~ c2_1(X188)
        | ~ c1_1(X188)
        | c0_1(X188)
        | ~ ndr1_0 )
      & ( hskp1
        | hskp14
        | ~ c2_1(X187)
        | c3_1(X187)
        | c0_1(X187)
        | ~ ndr1_0 )
      & ( hskp10
        | ~ c1_1(X186)
        | c3_1(X186)
        | c2_1(X186)
        | ~ ndr1_0
        | ~ c2_1(X185)
        | c3_1(X185)
        | c0_1(X185)
        | ~ ndr1_0 )
      & ( ~ c3_1(X184)
        | ~ c1_1(X184)
        | ~ c0_1(X184)
        | ~ ndr1_0
        | ~ c3_1(X183)
        | ~ c1_1(X183)
        | c0_1(X183)
        | ~ ndr1_0
        | ~ c2_1(X182)
        | c3_1(X182)
        | c0_1(X182)
        | ~ ndr1_0 )
      & ( hskp4
        | ~ c2_1(X181)
        | ~ c1_1(X181)
        | c3_1(X181)
        | ~ ndr1_0
        | ~ c1_1(X180)
        | c3_1(X180)
        | c0_1(X180)
        | ~ ndr1_0 )
      & ( hskp12
        | ~ c3_1(X179)
        | ~ c0_1(X179)
        | c2_1(X179)
        | ~ ndr1_0
        | ~ c1_1(X178)
        | c3_1(X178)
        | c0_1(X178)
        | ~ ndr1_0 )
      & ( ~ c3_1(X177)
        | ~ c1_1(X177)
        | c2_1(X177)
        | ~ ndr1_0
        | ~ c1_1(X176)
        | ~ c0_1(X176)
        | c2_1(X176)
        | ~ ndr1_0
        | ~ c1_1(X175)
        | c3_1(X175)
        | c0_1(X175)
        | ~ ndr1_0 )
      & ( hskp8
        | ~ c3_1(X174)
        | ~ c0_1(X174)
        | c1_1(X174)
        | ~ ndr1_0
        | ~ c1_1(X173)
        | c3_1(X173)
        | c0_1(X173)
        | ~ ndr1_0 )
      & ( hskp0
        | ~ c3_1(X172)
        | ~ c1_1(X172)
        | c0_1(X172)
        | ~ ndr1_0
        | ~ c1_1(X171)
        | c3_1(X171)
        | c0_1(X171)
        | ~ ndr1_0 )
      & ( hskp7
        | ~ c3_1(X170)
        | ~ c0_1(X170)
        | c2_1(X170)
        | ~ ndr1_0
        | ~ c3_1(X169)
        | c2_1(X169)
        | c0_1(X169)
        | ~ ndr1_0 )
      & ( ~ c3_1(X168)
        | ~ c2_1(X168)
        | ~ c0_1(X168)
        | ~ ndr1_0
        | ~ c3_1(X167)
        | ~ c2_1(X167)
        | c1_1(X167)
        | ~ ndr1_0
        | ~ c1_1(X166)
        | c2_1(X166)
        | c0_1(X166)
        | ~ ndr1_0 )
      & ( ~ c2_1(X165)
        | ~ c0_1(X165)
        | c1_1(X165)
        | ~ ndr1_0
        | ~ c3_1(X164)
        | ~ c2_1(X164)
        | c0_1(X164)
        | ~ ndr1_0
        | ~ c1_1(X163)
        | c2_1(X163)
        | c0_1(X163)
        | ~ ndr1_0 )
      & ( ~ c3_1(X162)
        | ~ c2_1(X162)
        | ~ c1_1(X162)
        | ~ ndr1_0
        | ~ c3_1(X161)
        | ~ c1_1(X161)
        | c0_1(X161)
        | ~ ndr1_0
        | ~ c1_1(X160)
        | c2_1(X160)
        | c0_1(X160)
        | ~ ndr1_0 )
      & ( hskp9
        | hskp13
        | c3_1(X159)
        | c2_1(X159)
        | c0_1(X159)
        | ~ ndr1_0 )
      & ( hskp7
        | hskp28
        | c3_1(X158)
        | c2_1(X158)
        | c0_1(X158)
        | ~ ndr1_0 )
      & ( hskp6
        | ~ c1_1(X157)
        | c2_1(X157)
        | c0_1(X157)
        | ~ ndr1_0
        | c3_1(X156)
        | c2_1(X156)
        | c0_1(X156)
        | ~ ndr1_0 )
      & ( hskp12
        | ~ c3_1(X155)
        | ~ c2_1(X155)
        | ~ c1_1(X155)
        | ~ ndr1_0
        | ~ c3_1(X154)
        | c1_1(X154)
        | c0_1(X154)
        | ~ ndr1_0 )
      & ( ~ c3_1(X153)
        | ~ c2_1(X153)
        | ~ c0_1(X153)
        | ~ ndr1_0
        | ~ c1_1(X152)
        | ~ c0_1(X152)
        | c2_1(X152)
        | ~ ndr1_0
        | ~ c3_1(X151)
        | c1_1(X151)
        | c0_1(X151)
        | ~ ndr1_0 )
      & ( hskp11
        | ~ c3_1(X150)
        | ~ c2_1(X150)
        | c1_1(X150)
        | ~ ndr1_0
        | ~ c3_1(X149)
        | c1_1(X149)
        | c0_1(X149)
        | ~ ndr1_0 )
      & ( ~ c3_1(X148)
        | ~ c0_1(X148)
        | c2_1(X148)
        | ~ ndr1_0
        | ~ c3_1(X147)
        | ~ c1_1(X147)
        | c0_1(X147)
        | ~ ndr1_0
        | ~ c3_1(X146)
        | c1_1(X146)
        | c0_1(X146)
        | ~ ndr1_0 )
      & ( hskp2
        | hskp10
        | ~ c2_1(X145)
        | c1_1(X145)
        | c0_1(X145)
        | ~ ndr1_0 )
      & ( hskp9
        | hskp8
        | ~ c2_1(X144)
        | c1_1(X144)
        | c0_1(X144)
        | ~ ndr1_0 )
      & ( hskp28
        | ~ c3_1(X143)
        | ~ c2_1(X143)
        | ~ c0_1(X143)
        | ~ ndr1_0
        | ~ c2_1(X142)
        | c1_1(X142)
        | c0_1(X142)
        | ~ ndr1_0 )
      & ( ~ c3_1(X141)
        | ~ c1_1(X141)
        | c2_1(X141)
        | ~ ndr1_0
        | ~ c0_1(X140)
        | c3_1(X140)
        | c1_1(X140)
        | ~ ndr1_0
        | ~ c2_1(X139)
        | c1_1(X139)
        | c0_1(X139)
        | ~ ndr1_0 )
      & ( hskp5
        | ~ c3_1(X138)
        | c2_1(X138)
        | c1_1(X138)
        | ~ ndr1_0
        | ~ c2_1(X137)
        | c1_1(X137)
        | c0_1(X137)
        | ~ ndr1_0 )
      & ( hskp27
        | ~ c1_1(X136)
        | c2_1(X136)
        | c0_1(X136)
        | ~ ndr1_0
        | ~ c2_1(X135)
        | c1_1(X135)
        | c0_1(X135)
        | ~ ndr1_0 )
      & ( hskp7
        | hskp6
        | c3_1(X134)
        | c1_1(X134)
        | c0_1(X134)
        | ~ ndr1_0 )
      & ( hskp5
        | ~ c2_1(X133)
        | c3_1(X133)
        | c1_1(X133)
        | ~ ndr1_0
        | c3_1(X132)
        | c1_1(X132)
        | c0_1(X132)
        | ~ ndr1_0 )
      & ( hskp4
        | hskp3
        | c2_1(X131)
        | c1_1(X131)
        | c0_1(X131)
        | ~ ndr1_0 )
      & ( hskp2
        | hskp1
        | c2_1(X130)
        | c1_1(X130)
        | c0_1(X130)
        | ~ ndr1_0 )
      & ( hskp0
        | ~ c1_1(X129)
        | ~ c0_1(X129)
        | c2_1(X129)
        | ~ ndr1_0
        | c2_1(X128)
        | c1_1(X128)
        | c0_1(X128)
        | ~ ndr1_0 )
      & ( ~ hskp30
        | c3_1(a753) )
      & ( ~ hskp30
        | c2_1(a753) )
      & ( ~ hskp30
        | c0_1(a753) )
      & ( ~ hskp30
        | ndr1_0 )
      & ( ~ hskp29
        | c3_1(a725) )
      & ( ~ hskp29
        | c2_1(a725) )
      & ( ~ hskp29
        | c1_1(a725) )
      & ( ~ hskp29
        | ndr1_0 )
      & ( ~ hskp28
        | c3_1(a678) )
      & ( ~ hskp28
        | c1_1(a678) )
      & ( ~ hskp28
        | c0_1(a678) )
      & ( ~ hskp28
        | ndr1_0 )
      & ( ~ hskp27
        | c2_1(a676) )
      & ( ~ hskp27
        | c1_1(a676) )
      & ( ~ hskp27
        | c0_1(a676) )
      & ( ~ hskp27
        | ndr1_0 )
      & ( ~ hskp26
        | ~ c3_1(a762) )
      & ( ~ hskp26
        | ~ c0_1(a762) )
      & ( ~ hskp26
        | c1_1(a762) )
      & ( ~ hskp26
        | ndr1_0 )
      & ( ~ hskp25
        | ~ c3_1(a760) )
      & ( ~ hskp25
        | ~ c1_1(a760) )
      & ( ~ hskp25
        | ~ c0_1(a760) )
      & ( ~ hskp25
        | ndr1_0 )
      & ( ~ hskp24
        | ~ c3_1(a731) )
      & ( ~ hskp24
        | ~ c1_1(a731) )
      & ( ~ hskp24
        | c0_1(a731) )
      & ( ~ hskp24
        | ndr1_0 )
      & ( ~ hskp23
        | ~ c1_1(a730) )
      & ( ~ hskp23
        | c2_1(a730) )
      & ( ~ hskp23
        | c0_1(a730) )
      & ( ~ hskp23
        | ndr1_0 )
      & ( ~ hskp22
        | ~ c3_1(a716) )
      & ( ~ hskp22
        | c2_1(a716) )
      & ( ~ hskp22
        | c1_1(a716) )
      & ( ~ hskp22
        | ndr1_0 )
      & ( ~ hskp21
        | ~ c3_1(a715) )
      & ( ~ hskp21
        | ~ c2_1(a715) )
      & ( ~ hskp21
        | c0_1(a715) )
      & ( ~ hskp21
        | ndr1_0 )
      & ( ~ hskp20
        | ~ c2_1(a711) )
      & ( ~ hskp20
        | c1_1(a711) )
      & ( ~ hskp20
        | c0_1(a711) )
      & ( ~ hskp20
        | ndr1_0 )
      & ( ~ hskp19
        | ~ c0_1(a710) )
      & ( ~ hskp19
        | c2_1(a710) )
      & ( ~ hskp19
        | c1_1(a710) )
      & ( ~ hskp19
        | ndr1_0 )
      & ( ~ hskp18
        | ~ c2_1(a708) )
      & ( ~ hskp18
        | ~ c1_1(a708) )
      & ( ~ hskp18
        | c3_1(a708) )
      & ( ~ hskp18
        | ndr1_0 )
      & ( ~ hskp17
        | ~ c2_1(a703) )
      & ( ~ hskp17
        | ~ c0_1(a703) )
      & ( ~ hskp17
        | c1_1(a703) )
      & ( ~ hskp17
        | ndr1_0 )
      & ( ~ hskp16
        | ~ c1_1(a702) )
      & ( ~ hskp16
        | c3_1(a702) )
      & ( ~ hskp16
        | c2_1(a702) )
      & ( ~ hskp16
        | ndr1_0 )
      & ( ~ hskp15
        | ~ c3_1(a700) )
      & ( ~ hskp15
        | ~ c0_1(a700) )
      & ( ~ hskp15
        | c2_1(a700) )
      & ( ~ hskp15
        | ndr1_0 )
      & ( ~ hskp14
        | ~ c3_1(a696) )
      & ( ~ hskp14
        | c2_1(a696) )
      & ( ~ hskp14
        | c0_1(a696) )
      & ( ~ hskp14
        | ndr1_0 )
      & ( ~ hskp13
        | ~ c3_1(a688) )
      & ( ~ hskp13
        | c1_1(a688) )
      & ( ~ hskp13
        | c0_1(a688) )
      & ( ~ hskp13
        | ndr1_0 )
      & ( ~ hskp12
        | ~ c2_1(a684) )
      & ( ~ hskp12
        | ~ c0_1(a684) )
      & ( ~ hskp12
        | c3_1(a684) )
      & ( ~ hskp12
        | ndr1_0 )
      & ( ~ hskp11
        | ~ c2_1(a683) )
      & ( ~ hskp11
        | c3_1(a683) )
      & ( ~ hskp11
        | c0_1(a683) )
      & ( ~ hskp11
        | ndr1_0 )
      & ( ~ hskp10
        | ~ c0_1(a681) )
      & ( ~ hskp10
        | c3_1(a681) )
      & ( ~ hskp10
        | c2_1(a681) )
      & ( ~ hskp10
        | ndr1_0 )
      & ( ~ hskp9
        | ~ c3_1(a680) )
      & ( ~ hskp9
        | ~ c1_1(a680) )
      & ( ~ hskp9
        | c2_1(a680) )
      & ( ~ hskp9
        | ndr1_0 )
      & ( ~ hskp8
        | ~ c0_1(a679) )
      & ( ~ hskp8
        | c3_1(a679) )
      & ( ~ hskp8
        | c1_1(a679) )
      & ( ~ hskp8
        | ndr1_0 )
      & ( ~ hskp7
        | ~ c2_1(a675) )
      & ( ~ hskp7
        | c3_1(a675) )
      & ( ~ hskp7
        | c1_1(a675) )
      & ( ~ hskp7
        | ndr1_0 )
      & ( ~ hskp6
        | ~ c1_1(a674) )
      & ( ~ hskp6
        | c3_1(a674) )
      & ( ~ hskp6
        | c0_1(a674) )
      & ( ~ hskp6
        | ndr1_0 )
      & ( ~ hskp5
        | ~ c3_1(a673) )
      & ( ~ hskp5
        | ~ c2_1(a673) )
      & ( ~ hskp5
        | ~ c0_1(a673) )
      & ( ~ hskp5
        | ndr1_0 )
      & ( ~ hskp4
        | ~ c2_1(a672) )
      & ( ~ hskp4
        | ~ c1_1(a672) )
      & ( ~ hskp4
        | ~ c0_1(a672) )
      & ( ~ hskp4
        | ndr1_0 )
      & ( ~ hskp3
        | ~ c1_1(a671) )
      & ( ~ hskp3
        | ~ c0_1(a671) )
      & ( ~ hskp3
        | c2_1(a671) )
      & ( ~ hskp3
        | ndr1_0 )
      & ( ~ hskp2
        | ~ c1_1(a670) )
      & ( ~ hskp2
        | ~ c0_1(a670) )
      & ( ~ hskp2
        | c3_1(a670) )
      & ( ~ hskp2
        | ndr1_0 )
      & ( ~ hskp1
        | ~ c2_1(a669) )
      & ( ~ hskp1
        | ~ c1_1(a669) )
      & ( ~ hskp1
        | c0_1(a669) )
      & ( ~ hskp1
        | ndr1_0 )
      & ( ~ hskp0
        | ~ c3_1(a668) )
      & ( ~ hskp0
        | ~ c2_1(a668) )
      & ( ~ hskp0
        | c1_1(a668) )
      & ( ~ 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,
    ( ~ hskp22
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ( hskp0
    | hskp8
    | hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ hskp8
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_8,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ c3_1(X1)
        | ~ c2_1(X1)
        | ~ ndr1_0 ) ),
    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,
    ( ~ epred1_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_11,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | epred3_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_8]),c_0_9])]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ hskp29
    | c3_1(a725) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ hskp29
    | c2_1(a725) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | c0_1(X1)
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_10]),c_0_9])]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ hskp29
    | c1_1(a725) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_16,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_17,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_18,plain,
    ( ~ epred26_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_19,negated_conjecture,
    ( ~ c0_1(a725)
    | ~ hskp29
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ hskp29
    | c0_1(a725)
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_13]),c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred4_0 ),
    inference(split_equiv,[status(thm)],[c_0_16]) ).

fof(c_0_22,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_23,negated_conjecture,
    ( ~ hskp30
    | c3_1(a753) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ hskp30
    | c2_1(a753) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ hskp30
    | c0_1(a753) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ hskp28
    | c3_1(a678) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ hskp28
    | c0_1(a678) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | epred22_0 ),
    inference(split_equiv,[status(thm)],[c_0_17]) ).

fof(c_0_29,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_30,plain,
    ( ~ epred14_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_31,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred26_0 ),
    inference(split_equiv,[status(thm)],[c_0_18]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ hskp16
    | c3_1(a702) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ hskp16
    | c2_1(a702) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a702) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ hskp29
    | epred1_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_36,negated_conjecture,
    ( hskp16
    | hskp0
    | hskp29 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ hskp29
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_12]),c_0_15]),c_0_13]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | epred34_0 ),
    inference(split_equiv,[status(thm)],[c_0_22]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ hskp11
    | c3_1(a683) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ hskp11
    | c0_1(a683) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a683) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ hskp30
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_23]),c_0_24]),c_0_25]) ).

cnf(c_0_44,negated_conjecture,
    ( hskp11
    | hskp30
    | hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ c2_1(a678)
    | ~ hskp28
    | epred3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_26]),c_0_27]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ hskp28
    | c2_1(a678)
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_26]),c_0_27]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred52_0 ),
    inference(split_equiv,[status(thm)],[c_0_29]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a668) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred14_0 ),
    inference(split_equiv,[status(thm)],[c_0_30]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ hskp0
    | c1_1(a668) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a668) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ hskp16
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).

cnf(c_0_54,negated_conjecture,
    ( hskp0
    | hskp16
    | epred1_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_55,negated_conjecture,
    ( hskp0
    | hskp16
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_37,c_0_36]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ hskp28
    | c1_1(a678) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ hskp30
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_23]),c_0_24]),c_0_25]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(cn,[status(thm)],[c_0_39]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ hskp11
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_40]),c_0_41]),c_0_42]) ).

cnf(c_0_60,negated_conjecture,
    ( hskp11
    | hskp28
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ hskp28
    | epred3_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ hskp29
    | c0_1(a725)
    | epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_12]),c_0_13]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X1)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_48]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ hskp0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]) ).

cnf(c_0_65,negated_conjecture,
    ( hskp0
    | epred1_0
    | epred3_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_66,negated_conjecture,
    ( hskp0
    | epred4_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_53,c_0_55]) ).

fof(c_0_67,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_68,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp12
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_69,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp12
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ c2_1(a678)
    | ~ hskp28
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_26]),c_0_56]) ).

cnf(c_0_71,negated_conjecture,
    ( hskp11
    | hskp28
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_57,c_0_44]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ epred3_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_58,c_0_8]),c_0_16]) ).

cnf(c_0_73,negated_conjecture,
    ( epred3_0
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ hskp29
    | epred3_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_19,c_0_62]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ epred1_0
    | ~ epred4_0
    | ~ epred52_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_63,c_0_10]),c_0_29]),c_0_16]) ).

cnf(c_0_76,negated_conjecture,
    ( epred1_0
    | epred3_0
    | epred14_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_77,negated_conjecture,
    ( epred4_0
    | epred14_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_64,c_0_66]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | c1_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_67]) ).

fof(c_0_79,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_80,plain,
    ( ~ epred50_0
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c1_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_81,negated_conjecture,
    ( ~ c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp12
    | epred27_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_68]),c_0_9])]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ hskp26
    | c1_1(a762) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a762) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a762) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | hskp12 ),
    inference(cn,[status(thm)],[c_0_69]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ hskp28
    | epred4_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_70,c_0_46]) ).

cnf(c_0_87,negated_conjecture,
    ( hskp28
    | epred22_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_59,c_0_71]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ epred4_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

fof(c_0_89,plain,
    ( ~ epred25_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | hskp11
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_90,negated_conjecture,
    ( hskp0
    | hskp16
    | epred3_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_74,c_0_36]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ epred52_0
    | epred3_0
    | epred14_0
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).

fof(c_0_92,plain,
    ( ~ epred39_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_93,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_94,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X3)
    | c2_1(X2)
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_95,negated_conjecture,
    ( ~ c1_1(a753)
    | ~ hskp30
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_23]),c_0_24]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ hskp30
    | c1_1(a753)
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_23]),c_0_24]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ hskp30
    | c1_1(a753)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_23]),c_0_25]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ hskp19
    | c2_1(a710) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ hskp19
    | c1_1(a710) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a710) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_101,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_102,plain,
    ( ~ epred57_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_103,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | epred42_0 ),
    inference(split_equiv,[status(thm)],[c_0_79]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | epred50_0 ),
    inference(split_equiv,[status(thm)],[c_0_80]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ ndr1_0
    | hskp9
    | hskp8
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ ndr1_0
    | hskp15
    | hskp29
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ ndr1_0
    | hskp19
    | hskp20
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp4
    | hskp15
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp10
    | hskp28
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_110,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp17
    | hskp14
    | c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp19
    | hskp24
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_112,plain,
    ( ~ epred55_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_113,plain,
    ( ~ epred54_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_114,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | hskp28
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_115,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c1_1(X1)
        | ~ ndr1_0
        | hskp16
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_116,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | hskp16
        | c2_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_117,plain,
    ( ~ epred51_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_118,plain,
    ( ~ epred48_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_119,negated_conjecture,
    ( ~ hskp26
    | hskp12
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84]) ).

cnf(c_0_120,negated_conjecture,
    ( hskp12
    | hskp26
    | hskp30 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ epred22_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_85,c_0_68]),c_0_17]) ).

cnf(c_0_122,negated_conjecture,
    ( epred22_0
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).

cnf(c_0_123,negated_conjecture,
    ( ~ hskp10
    | c2_1(a681) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a681) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp11
    | epred25_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_89]),c_0_9])]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ hskp10
    | c3_1(a681) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_127,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | hskp7
        | c0_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_128,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | hskp10
        | c0_1(X1)
        | c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_129,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c0_1(X1)
        | c2_1(X1)
        | c1_1(X1)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_130,negated_conjecture,
    ( hskp0
    | epred3_0
    | epred26_0
    | epred52_0 ),
    inference(spm,[status(thm)],[c_0_53,c_0_90]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ epred52_0
    | epred14_0
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_91]),c_0_77]) ).

fof(c_0_132,plain,
    ( ~ epred49_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_133,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | epred39_0 ),
    inference(split_equiv,[status(thm)],[c_0_92]) ).

cnf(c_0_134,negated_conjecture,
    ( ~ hskp7
    | c3_1(a675) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ hskp7
    | c1_1(a675) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | epred17_0 ),
    inference(split_equiv,[status(thm)],[c_0_93]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X3)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X3)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_94]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ hskp30
    | epred4_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_139,negated_conjecture,
    ( ~ hskp30
    | epred2_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_95,c_0_97]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ hskp19
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_98]),c_0_99]),c_0_100]) ).

cnf(c_0_141,negated_conjecture,
    ( hskp9
    | hskp19
    | hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a675) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_101]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | epred57_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_102]),c_0_9])]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c0_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp28
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp16
    | c3_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | hskp16
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | hskp11
    | c1_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_155,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | hskp7
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_156,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp10
    | c3_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | hskp0
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | epred4_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_21,c_0_103]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ hskp28
    | c2_1(a678)
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_26]),c_0_56]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a711) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | epred14_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_28,c_0_50]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp8
    | hskp9 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_9])]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp15
    | hskp29 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_9])]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ hskp24
    | c0_1(a731) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp19
    | hskp20 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_9])]) ).

cnf(c_0_167,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp15 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_9])]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp10
    | hskp28 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_9])]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp14
    | hskp17 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_9])]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X1)
    | hskp19
    | hskp24 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_9])]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp9
    | c2_1(a680) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a680) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred55_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_112]),c_0_9])]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a700) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | epred54_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_113]),c_0_9])]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ hskp12
    | c3_1(a684) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp28
    | epred45_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_114]),c_0_9])]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp15
    | c2_1(a700) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | hskp16
    | epred40_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_115]),c_0_9])]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp16
    | epred38_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_116]),c_0_9])]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a684) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_182,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | epred51_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_117]),c_0_9])]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | epred48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_118]),c_0_9])]) ).

cnf(c_0_184,negated_conjecture,
    ( hskp12
    | hskp30
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ epred27_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ c1_1(a681)
    | ~ hskp10
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_123]),c_0_124]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp10
    | c1_1(a681)
    | hskp11
    | epred25_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_124]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp7
    | epred21_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_127]),c_0_9])]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a684) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ c2_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | hskp10
    | epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_128]),c_0_9])]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a700) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a672) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_193,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_129]),c_0_9])]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a672) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a672) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_196,negated_conjecture,
    ( epred3_0
    | epred14_0
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_130]),c_0_131]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a731) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | epred49_0 ),
    inference(split_equiv,[status(thm)],[c_0_132]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a731) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a696) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ hskp14
    | c2_1(a696) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ hskp14
    | c0_1(a696) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ c0_1(a675)
    | ~ hskp7
    | epred39_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ hskp7
    | c0_1(a675)
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_134]),c_0_135]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ epred22_0
    | ~ epred42_0
    | ~ epred55_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_137,c_0_112]),c_0_79]),c_0_17]) ).

cnf(c_0_206,negated_conjecture,
    ( hskp11
    | hskp28
    | epred4_0
    | epred26_0 ),
    inference(spm,[status(thm)],[c_0_138,c_0_44]) ).

cnf(c_0_207,negated_conjecture,
    ( hskp11
    | hskp28
    | epred2_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_139,c_0_44]) ).

cnf(c_0_208,negated_conjecture,
    ( hskp9
    | hskp28
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ c0_1(a675)
    | ~ hskp7
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_135]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ hskp8
    | c3_1(a679) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ hskp8
    | c1_1(a679) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a679) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a703) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_214,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | epred17_0
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_136,c_0_144]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ hskp17
    | c1_1(a703) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_216,plain,
    ( ~ epred36_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_217,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[c_0_145]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c3_1(X1)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_146]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_147]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c2_1(X3) ),
    inference(cn,[status(thm)],[c_0_148]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ c0_1(X3)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_149]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_150]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | hskp28 ),
    inference(cn,[status(thm)],[c_0_151]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X2)
    | hskp16 ),
    inference(cn,[status(thm)],[c_0_152]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp16 ),
    inference(cn,[status(thm)],[c_0_153]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | hskp11 ),
    inference(cn,[status(thm)],[c_0_154]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | hskp7 ),
    inference(cn,[status(thm)],[c_0_155]) ).

cnf(c_0_228,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | hskp10 ),
    inference(cn,[status(thm)],[c_0_156]) ).

cnf(c_0_229,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[c_0_157]) ).

cnf(c_0_230,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_158]) ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp28
    | ~ c1_1(a678)
    | ~ c0_1(a678)
    | epred50_0
    | epred4_0
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_232,negated_conjecture,
    ( ~ c1_1(a711)
    | ~ c0_1(a711)
    | ~ hskp20
    | epred14_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ c1_1(a678)
    | ~ c0_1(a678)
    | ~ hskp28
    | epred10_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_70,c_0_143]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ hskp16
    | c1_1(a702)
    | c0_1(a702)
    | hskp8
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_163,c_0_33]) ).

cnf(c_0_235,negated_conjecture,
    ( ~ hskp24
    | c1_1(a731)
    | c3_1(a731)
    | hskp15
    | hskp29 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ hskp24
    | c1_1(a731)
    | c3_1(a731)
    | hskp19
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_166,c_0_165]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp28
    | ~ c0_1(a678)
    | c2_1(a678)
    | hskp4
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_167,c_0_26]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a675)
    | c2_1(a675)
    | hskp10
    | hskp28 ),
    inference(spm,[status(thm)],[c_0_168,c_0_134]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a675)
    | c2_1(a675)
    | hskp14
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_169,c_0_134]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a680)
    | c1_1(a680)
    | hskp19
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp30
    | ~ c0_1(a753)
    | c1_1(a753)
    | hskp19
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_170,c_0_24]) ).

cnf(c_0_242,negated_conjecture,
    ( ~ c1_1(a668)
    | ~ hskp0
    | c0_1(a668)
    | epred57_0 ),
    inference(spm,[status(thm)],[c_0_49,c_0_144]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ c2_1(a680)
    | ~ hskp9
    | c1_1(a680)
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_244,negated_conjecture,
    ( ~ c2_1(a700)
    | ~ hskp15
    | c1_1(a700)
    | epred55_0 ),
    inference(spm,[status(thm)],[c_0_174,c_0_173]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp10
    | c1_1(a681)
    | c0_1(a681)
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_126]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ hskp12
    | c1_1(a684)
    | c0_1(a684)
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ hskp16
    | c1_1(a702)
    | c0_1(a702)
    | epred54_0 ),
    inference(spm,[status(thm)],[c_0_175,c_0_32]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp9
    | c1_1(a680)
    | c0_1(a680)
    | hskp28
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_177,c_0_171]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp15
    | c1_1(a700)
    | c0_1(a700)
    | hskp28
    | epred45_0 ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_250,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a684)
    | c0_1(a684)
    | hskp16
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_179,c_0_176]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ hskp12
    | c1_1(a684)
    | c2_1(a684)
    | hskp16
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_180,c_0_176]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ c1_1(a684)
    | ~ hskp12
    | c0_1(a684)
    | epred51_0 ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ hskp15
    | c1_1(a700)
    | c0_1(a700)
    | epred48_0 ),
    inference(spm,[status(thm)],[c_0_183,c_0_178]) ).

cnf(c_0_254,negated_conjecture,
    ( hskp12
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_184]),c_0_185]) ).

cnf(c_0_255,negated_conjecture,
    ( hskp12
    | epred3_0
    | epred27_0 ),
    inference(spm,[status(thm)],[c_0_43,c_0_184]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ hskp10
    | hskp11
    | epred1_0
    | epred25_0 ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ hskp12
    | hskp7
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_176]),c_0_181]),c_0_189]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ hskp15
    | hskp10
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_178]),c_0_174]),c_0_191]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ hskp4
    | hskp0
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]),c_0_195]) ).

cnf(c_0_260,negated_conjecture,
    ( epred14_0
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_196]),c_0_77]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ hskp7
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_134]),c_0_135]),c_0_142]) ).

cnf(c_0_262,negated_conjecture,
    ( ~ hskp24
    | epred49_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_165]),c_0_199]) ).

cnf(c_0_263,negated_conjecture,
    ( ~ hskp14
    | epred42_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_103]),c_0_201]),c_0_202]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ hskp7
    | epred17_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_265,negated_conjecture,
    ( ~ c0_1(a702)
    | ~ hskp16
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_32]),c_0_33]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ epred42_0
    | ~ epred55_0
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_205,c_0_122]) ).

cnf(c_0_267,negated_conjecture,
    ( epred22_0
    | epred26_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_206]),c_0_86]),c_0_88]) ).

cnf(c_0_268,negated_conjecture,
    ( epred2_0
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_207]),c_0_86]),c_0_88]) ).

cnf(c_0_269,negated_conjecture,
    ( hskp9
    | epred1_0
    | epred4_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_86,c_0_208]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ hskp7
    | epred10_0
    | epred17_0 ),
    inference(spm,[status(thm)],[c_0_209,c_0_204]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ hskp8
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_210]),c_0_211]),c_0_212]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ c1_1(a684)
    | ~ hskp12
    | epred17_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_176]),c_0_189]) ).

cnf(c_0_273,negated_conjecture,
    ( ~ c1_1(a681)
    | ~ hskp10
    | epred4_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_126]),c_0_123]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ c1_1(a700)
    | ~ hskp15
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_178]),c_0_191]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ hskp17
    | epred17_0
    | epred57_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | epred36_0 ),
    inference(split_equiv,[status(thm)],[c_0_216]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ epred4_0
    | ~ epred17_0
    | ~ epred51_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_217,c_0_117]),c_0_93]),c_0_16]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ epred10_0
    | ~ epred34_0
    | ~ epred54_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_218,c_0_113]),c_0_101]),c_0_22]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ epred26_0
    | ~ epred34_0
    | ~ epred51_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_219,c_0_117]),c_0_18]),c_0_22]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ epred10_0
    | ~ epred50_0
    | ~ epred57_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_220,c_0_102]),c_0_101]),c_0_80]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ epred17_0
    | ~ epred22_0
    | ~ epred54_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_221,c_0_113]),c_0_93]),c_0_17]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ epred48_0
    | ~ epred49_0
    | ~ epred50_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_222,c_0_118]),c_0_132]),c_0_80]) ).

cnf(c_0_283,negated_conjecture,
    ( ~ epred34_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_223,c_0_114]),c_0_22]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ epred36_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_224,c_0_115]),c_0_216]) ).

cnf(c_0_285,negated_conjecture,
    ( ~ epred38_0
    | ~ epred39_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_225,c_0_116]),c_0_92]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ epred25_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_226,c_0_89]),c_0_18]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ epred21_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_227,c_0_127]),c_0_17]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ epred13_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_228,c_0_128]),c_0_30]) ).

cnf(c_0_289,negated_conjecture,
    ( ~ epred9_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_229,c_0_129]),c_0_101]) ).

cnf(c_0_290,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_230,c_0_10]),c_0_67]) ).

cnf(c_0_291,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a680) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_292,negated_conjecture,
    ( ~ hskp20
    | c0_1(a711) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ hskp20
    | c1_1(a711) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_294,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_231,c_0_232,c_0_233,c_0_234,c_0_235,c_0_236,c_0_237,c_0_238,c_0_239,c_0_240,c_0_241,c_0_242,c_0_243,c_0_244,c_0_245,c_0_246,c_0_247,c_0_248,c_0_249,c_0_250,c_0_251,c_0_252,c_0_253,c_0_254,c_0_255,c_0_184,c_0_256,c_0_257,c_0_258,c_0_259,c_0_260,c_0_261,c_0_262,c_0_263,c_0_264,c_0_265,c_0_266,c_0_122,c_0_53,c_0_267,c_0_268,c_0_88,c_0_59,c_0_269,c_0_86,c_0_270,c_0_271,c_0_272,c_0_64,c_0_273,c_0_70,c_0_55,c_0_37,c_0_139,c_0_95,c_0_274,c_0_140,c_0_275,c_0_276,c_0_277,c_0_278,c_0_279,c_0_280,c_0_205,c_0_281,c_0_282,c_0_283,c_0_284,c_0_285,c_0_121,c_0_286,c_0_287,c_0_288,c_0_289,c_0_72,c_0_290,c_0_197,c_0_199,c_0_34,c_0_191,c_0_189,c_0_181,c_0_124,c_0_291,c_0_142,c_0_49,c_0_25,c_0_27,c_0_292,c_0_178,c_0_171,c_0_56,c_0_293,c_0_135,c_0_51]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SYN511+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.47  % Computer : n015.cluster.edu
% 0.18/0.47  % Model    : x86_64 x86_64
% 0.18/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.47  % Memory   : 8046.5625MB
% 0.18/0.47  % OS       : Linux 6.8.0-71-generic
% 0.18/0.47  % CPULimit : 300
% 0.18/0.47  % WCLimit  : 300
% 0.18/0.47  % DateTime : Mon Sep 21 11:07:36 UTC 2026
% 0.18/0.48  % CPUTime  : 
% 0.18/0.48  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.53  Running first-order theorem proving
% 0.21/0.53  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 15.34/3.25  % Version: 3.5.1
% 15.34/3.25  % Preprocessing class: FSLSSLSMSSSNFFN.
% 15.34/3.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.34/3.25  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 15.34/3.25  % Starting new_bool_3 with 300s (1) cores
% 15.34/3.25  % Starting new_bool_1 with 300s (1) cores
% 15.34/3.25  % Starting sh5l with 300s (1) cores
% 15.34/3.25  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1317058 completed with status 0
% 15.34/3.25  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 15.34/3.25  % Preprocessing class: FSLSSLSMSSSNFFN.
% 15.34/3.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.34/3.25  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 15.34/3.25  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.34/3.25  % No SInE strategy applied
% 15.34/3.25  % Search class: FGHNF-FSMM00-SFFFFFNN
% 15.34/3.25  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 15.34/3.25  % Starting SubtermCWHack with 151s (1) cores
% 15.34/3.25  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 15.34/3.25  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 15.34/3.25  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 15.34/3.25  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 15.34/3.25  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1317064 completed with status 0
% 15.34/3.25  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 15.34/3.25  % Preprocessing class: FSLSSLSMSSSNFFN.
% 15.34/3.25  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 15.34/3.25  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 15.34/3.25  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 15.34/3.25  % No SInE strategy applied
% 15.34/3.25  % Search class: FGHNF-FSMM00-SFFFFFNN
% 15.34/3.25  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 15.34/3.25  % Starting SubtermCWHack with 151s (1) cores
% 15.34/3.25  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 15.34/3.25  % Preprocessing time       : 0.004 s
% 15.34/3.25  % SatCheck found unsatisfiable ground set
% 15.34/3.25  
% 15.34/3.25  % Proof found!
% 15.34/3.25  % SZS status Theorem
% 15.34/3.25  % SZS output start CNFRefutation
% See solution above
% 15.34/3.26  % Parsed axioms                        : 1
% 15.34/3.26  % Removed by relevancy pruning/SinE    : 0
% 15.34/3.26  % Initial clauses                      : 204
% 15.34/3.26  % Removed in clause preprocessing      : 0
% 15.34/3.26  % Initial clauses in saturation        : 204
% 15.34/3.26  % Processed clauses                    : 7923
% 15.34/3.26  % ...of these trivial                  : 0
% 15.34/3.26  % ...subsumed                          : 2923
% 15.34/3.26  % ...remaining for further processing  : 5000
% 15.34/3.26  % Other redundant clauses eliminated   : 0
% 15.34/3.26  % Clauses deleted for lack of memory   : 0
% 15.34/3.26  % Backward-subsumed                    : 1973
% 15.34/3.26  % Backward-rewritten                   : 57
% 15.34/3.26  % Generated clauses                    : 47738
% 15.34/3.26  % ...of the previous two non-redundant : 44804
% 15.34/3.26  % ...aggressively subsumed             : 0
% 15.34/3.26  % Contextual simplify-reflections      : 834
% 15.34/3.26  % Paramodulations                      : 47636
% 15.34/3.26  % Factorizations                       : 0
% 15.34/3.26  % NegExts                              : 0
% 15.34/3.26  % Equation resolutions                 : 0
% 15.34/3.26  % Disequality decompositions           : 0
% 15.34/3.26  % Total rewrite steps                  : 95
% 15.34/3.26  % ...of those cached                   : 94
% 15.34/3.26  % Propositional unsat checks           : 1
% 15.34/3.26  %    Propositional check models        : 0
% 15.34/3.26  %    Propositional check unsatisfiable : 1
% 15.34/3.26  %    Propositional clauses             : 38319
% 15.34/3.26  %    Propositional clauses after purity: 37836
% 15.34/3.26  %    Propositional unsat core size     : 95
% 15.34/3.26  %    Propositional preprocessing time  : 0.000
% 15.34/3.26  %    Propositional encoding time       : 0.029
% 15.34/3.26  %    Propositional solver time         : 0.075
% 15.34/3.26  %    Success case prop preproc time    : 0.000
% 15.34/3.26  %    Success case prop encoding time   : 0.029
% 15.34/3.26  %    Success case prop solver time     : 0.075
% 15.34/3.26  % Current number of processed clauses  : 2926
% 15.34/3.26  %    Positive orientable unit clauses  : 1
% 15.34/3.26  %    Positive unorientable unit clauses: 0
% 15.34/3.26  %    Negative unit clauses             : 0
% 15.34/3.26  %    Non-unit-clauses                  : 2925
% 15.34/3.26  % Current number of unprocessed clauses: 35393
% 15.34/3.26  % ...number of literals in the above   : 233011
% 15.34/3.26  % Current number of archived formulas  : 0
% 15.34/3.26  % Current number of archived clauses   : 2030
% 15.34/3.26  % Clause-clause subsumption calls (NU) : 3490321
% 15.34/3.26  % Rec. Clause-clause subsumption calls : 397604
% 15.34/3.26  % Non-unit clause-clause subsumptions  : 5816
% 15.34/3.26  % Unit Clause-clause subsumption calls : 4
% 15.34/3.26  % Rewrite failures with RHS unbound    : 0
% 15.34/3.26  % BW rewrite match attempts            : 1
% 15.34/3.26  % BW rewrite match successes           : 1
% 15.34/3.26  % Condensation attempts                : 7923
% 15.34/3.26  % Condensation successes               : 0
% 15.34/3.26  % Termbank termtop insertions          : 451580
% 15.34/3.26  % Search garbage collected termcells   : 2350
% 15.34/3.26  
% 15.34/3.26  % -------------------------------------------------
% 15.34/3.26  % User time                : 2.466 s
% 15.34/3.26  % System time              : 0.077 s
% 15.34/3.26  % Total time               : 2.543 s
% 15.34/3.26  % Maximum resident set size: 4740 pages
% 15.34/3.26  
% 15.34/3.26  % -------------------------------------------------
% 15.34/3.26  % User time                : 9.870 s
% 15.34/3.26  % System time              : 0.277 s
% 15.34/3.26  % Total time               : 10.147 s
% 15.34/3.26  % Maximum resident set size: 4864 pages
% 15.34/3.26  % E exiting
%------------------------------------------------------------------------------