TSTP Solution File: SYN506+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN506+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:31:20 EDT 2024

% Result   : Theorem 3.61s 1.16s
% Output   : CNFRefutation 3.61s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f227)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp7
        | hskp24 )
      & ( hskp11
        | hskp18
        | hskp17 )
      & ( hskp8
        | hskp24
        | hskp17 )
      & ( hskp1
        | hskp11
        | hskp25 )
      & ( hskp16
        | hskp25 )
      & ( hskp14
        | hskp17
        | hskp12 )
      & ( hskp8
        | hskp13
        | hskp4 )
      & ( hskp4
        | hskp5
        | hskp3 )
      & ( hskp2
        | hskp24
        | hskp26 )
      & ( hskp10
        | hskp3
        | ! [X125] :
            ( ndr1_0
           => ( ~ c3_1(X125)
              | ~ c2_1(X125)
              | ~ c1_1(X125) ) ) )
      & ( hskp16
        | hskp5
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c0_1(X124) ) ) )
      & ( hskp10
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c2_1(X123)
              | ~ c1_1(X123) ) )
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c1_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp24
        | hskp17
        | ! [X121] :
            ( ndr1_0
           => ( ~ c2_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) ) )
      & ( hskp7
        | hskp28
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp1
        | hskp2
        | ! [X119] :
            ( ndr1_0
           => ( ~ c2_1(X119)
              | ~ c0_1(X119)
              | c3_1(X119) ) ) )
      & ( hskp16
        | hskp4
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp10
        | hskp3
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( hskp28
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c1_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp12
        | hskp13
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp20
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c1_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp8
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | c3_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp8
        | hskp3
        | ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | c3_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp27
        | hskp28
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp10
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | ~ c0_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c0_1(X105)
              | c2_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp15
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp22
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | c1_1(X101) ) ) )
      & ( hskp17
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp22
        | hskp23
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp14
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c1_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp27
        | hskp26
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp6
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c1_1(X94)
              | ~ c0_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c0_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp19
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | ~ c0_1(X92)
              | c3_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp19
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp5
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp22
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c1_1(X84)
              | ~ c0_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp2
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp22
        | hskp7
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp0
        | hskp19
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp16
        | hskp15
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp14
        | hskp5
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp21
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp20
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp12
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp11
        | hskp19
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp18
        | hskp17
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp4
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c0_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c0_1(X66) ) ) )
      & ( hskp12
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp9
        | hskp16
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp15
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp14
        | hskp13
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp12
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c0_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | c3_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp26
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c0_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp28
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c0_1(X49)
              | c2_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp7
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp27
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c1_1(X40)
              | c3_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c1_1(X38)
              | ~ c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | c3_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c2_1(X35)
              | ~ c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c0_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp5
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c0_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp11
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c3_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp10
        | hskp5
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp7
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | ~ c1_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp9
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp26
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp8
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c2_1(X18)
              | ~ c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c0_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp5
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp7
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c2_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp6
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c1_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | hskp5
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp4
        | hskp3
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | c3_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a343)
          & c1_1(a343)
          & c0_1(a343)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a341)
          & c2_1(a341)
          & c1_1(a341)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a333)
          & c1_1(a333)
          & c0_1(a333)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a419)
          & ~ c1_1(a419)
          & c0_1(a419)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a401)
          & ~ c0_1(a401)
          & c1_1(a401)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a377)
          & c3_1(a377)
          & c1_1(a377)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a367)
          & ~ c1_1(a367)
          & c3_1(a367)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a359)
          & ~ c0_1(a359)
          & c3_1(a359)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a358)
          & ~ c0_1(a358)
          & c2_1(a358)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a355)
          & c2_1(a355)
          & c1_1(a355)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a354)
          & ~ c2_1(a354)
          & c1_1(a354)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a353)
          & c2_1(a353)
          & c1_1(a353)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a349)
          & c3_1(a349)
          & c1_1(a349)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a348)
          & ~ c1_1(a348)
          & c0_1(a348)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a347)
          & c3_1(a347)
          & c2_1(a347)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a346)
          & c2_1(a346)
          & c0_1(a346)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a345)
          & c3_1(a345)
          & c0_1(a345)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a338)
          & ~ c1_1(a338)
          & ~ c0_1(a338)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a337)
          & ~ c2_1(a337)
          & c0_1(a337)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a334)
          & ~ c0_1(a334)
          & c2_1(a334)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a332)
          & ~ c2_1(a332)
          & ~ c0_1(a332)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a330)
          & ~ c0_1(a330)
          & c3_1(a330)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a329)
          & ~ c1_1(a329)
          & c2_1(a329)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a327)
          & c1_1(a327)
          & c0_1(a327)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a326)
          & c2_1(a326)
          & c0_1(a326)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a325)
          & c1_1(a325)
          & c0_1(a325)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a324)
          & ~ c1_1(a324)
          & ~ c0_1(a324)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a323)
          & ~ c2_1(a323)
          & ~ c1_1(a323)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a322)
          & c3_1(a322)
          & c2_1(a322)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp7
          | hskp24 )
        & ( hskp11
          | hskp18
          | hskp17 )
        & ( hskp8
          | hskp24
          | hskp17 )
        & ( hskp1
          | hskp11
          | hskp25 )
        & ( hskp16
          | hskp25 )
        & ( hskp14
          | hskp17
          | hskp12 )
        & ( hskp8
          | hskp13
          | hskp4 )
        & ( hskp4
          | hskp5
          | hskp3 )
        & ( hskp2
          | hskp24
          | hskp26 )
        & ( hskp10
          | hskp3
          | ! [X125] :
              ( ndr1_0
             => ( ~ c3_1(X125)
                | ~ c2_1(X125)
                | ~ c1_1(X125) ) ) )
        & ( hskp16
          | hskp5
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c0_1(X124) ) ) )
        & ( hskp10
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c2_1(X123)
                | ~ c1_1(X123) ) )
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c1_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp24
          | hskp17
          | ! [X121] :
              ( ndr1_0
             => ( ~ c2_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( hskp7
          | hskp28
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp1
          | hskp2
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c0_1(X119)
                | c3_1(X119) ) ) )
        & ( hskp16
          | hskp4
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp10
          | hskp3
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( hskp28
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c1_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp12
          | hskp13
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp20
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c1_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp8
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c3_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp8
          | hskp3
          | ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp27
          | hskp28
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp10
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c2_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp15
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp22
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | c1_1(X101) ) ) )
        & ( hskp17
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp22
          | hskp23
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp14
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c1_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp27
          | hskp26
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp6
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp19
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | ~ c0_1(X92)
                | c3_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp19
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp5
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp22
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | ~ c0_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp2
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp22
          | hskp7
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp0
          | hskp19
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp16
          | hskp15
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp14
          | hskp5
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp21
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp20
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp12
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp11
          | hskp19
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp18
          | hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp4
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp12
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp9
          | hskp16
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp15
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp14
          | hskp13
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp12
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c0_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp26
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c0_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp28
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c2_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp7
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp27
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | c3_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | c3_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp5
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp11
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp10
          | hskp5
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp7
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp9
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp26
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp8
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp5
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp7
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp6
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | hskp5
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp4
          | hskp3
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | c3_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a343)
            & c1_1(a343)
            & c0_1(a343)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a341)
            & c2_1(a341)
            & c1_1(a341)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a333)
            & c1_1(a333)
            & c0_1(a333)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a419)
            & ~ c1_1(a419)
            & c0_1(a419)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a401)
            & ~ c0_1(a401)
            & c1_1(a401)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a377)
            & c3_1(a377)
            & c1_1(a377)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a367)
            & ~ c1_1(a367)
            & c3_1(a367)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a359)
            & ~ c0_1(a359)
            & c3_1(a359)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a355)
            & c2_1(a355)
            & c1_1(a355)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a354)
            & ~ c2_1(a354)
            & c1_1(a354)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a353)
            & c2_1(a353)
            & c1_1(a353)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a349)
            & c3_1(a349)
            & c1_1(a349)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a348)
            & ~ c1_1(a348)
            & c0_1(a348)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a347)
            & c3_1(a347)
            & c2_1(a347)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a346)
            & c2_1(a346)
            & c0_1(a346)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a345)
            & c3_1(a345)
            & c0_1(a345)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a338)
            & ~ c1_1(a338)
            & ~ c0_1(a338)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a337)
            & ~ c2_1(a337)
            & c0_1(a337)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a334)
            & ~ c0_1(a334)
            & c2_1(a334)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a332)
            & ~ c2_1(a332)
            & ~ c0_1(a332)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a330)
            & ~ c0_1(a330)
            & c3_1(a330)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a329)
            & ~ c1_1(a329)
            & c2_1(a329)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a327)
            & c1_1(a327)
            & c0_1(a327)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a326)
            & c2_1(a326)
            & c0_1(a326)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a325)
            & c1_1(a325)
            & c0_1(a325)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a324)
            & ~ c1_1(a324)
            & ~ c0_1(a324)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a323)
            & ~ c2_1(a323)
            & ~ c1_1(a323)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a322)
            & c3_1(a322)
            & c2_1(a322)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp7
          | hskp24 )
        & ( hskp11
          | hskp18
          | hskp17 )
        & ( hskp8
          | hskp24
          | hskp17 )
        & ( hskp1
          | hskp11
          | hskp25 )
        & ( hskp16
          | hskp25 )
        & ( hskp14
          | hskp17
          | hskp12 )
        & ( hskp8
          | hskp13
          | hskp4 )
        & ( hskp4
          | hskp5
          | hskp3 )
        & ( hskp2
          | hskp24
          | hskp26 )
        & ( hskp10
          | hskp3
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp16
          | hskp5
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp10
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp24
          | hskp17
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp7
          | hskp28
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp1
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp16
          | hskp4
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp10
          | hskp3
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp28
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp12
          | hskp13
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp20
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp8
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp8
          | hskp3
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp27
          | hskp28
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp10
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) ) )
        & ( hskp15
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp22
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | ~ c1_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp17
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp22
          | hskp23
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp14
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | c2_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp27
          | hskp26
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp6
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c1_1(X31)
                | ~ c0_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp19
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c0_1(X33)
                | c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp19
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | c3_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp5
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp22
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c3_1(X40)
                | c1_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c1_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c1_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp2
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp22
          | hskp7
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp0
          | hskp19
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp16
          | hskp15
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp14
          | hskp5
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp21
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c0_1(X50)
                | c3_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp20
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c0_1(X52)
                | c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp12
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( hskp11
          | hskp19
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | hskp17
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp4
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp12
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c0_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp9
          | hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp15
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp14
          | hskp13
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp12
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp26
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp28
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c0_1(X76)
                | c2_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp7
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp27
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp4
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c1_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c2_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp5
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c2_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp11
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c3_1(X98)
                | c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | c2_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp10
          | hskp5
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c2_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp7
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp9
          | ! [X103] :
              ( ndr1_0
             => ( ~ c0_1(X103)
                | c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp26
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c2_1(X105)
                | c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp8
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c1_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c2_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c0_1(X110)
                | c1_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp5
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | c0_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp7
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c3_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp6
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | ~ c0_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c3_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( hskp1
          | hskp5
          | ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( hskp4
          | hskp3
          | ! [X119] :
              ( ndr1_0
             => ( c2_1(X119)
                | c1_1(X119)
                | c0_1(X119) ) ) )
        & ( hskp2
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | c3_1(X120)
                | c1_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( c2_1(X121)
                | c1_1(X121)
                | c0_1(X121) ) ) )
        & ( hskp1
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | c2_1(X122)
                | c0_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( c2_1(X123)
                | c1_1(X123)
                | c0_1(X123) ) ) )
        & ( hskp0
          | ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | c2_1(X124)
                | c0_1(X124) ) )
          | ! [X125] :
              ( ndr1_0
             => ( c2_1(X125)
                | c1_1(X125)
                | c0_1(X125) ) ) )
        & ( ( c2_1(a343)
            & c1_1(a343)
            & c0_1(a343)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a341)
            & c2_1(a341)
            & c1_1(a341)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a333)
            & c1_1(a333)
            & c0_1(a333)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a419)
            & ~ c1_1(a419)
            & c0_1(a419)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a401)
            & ~ c0_1(a401)
            & c1_1(a401)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a377)
            & c3_1(a377)
            & c1_1(a377)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a367)
            & ~ c1_1(a367)
            & c3_1(a367)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a359)
            & ~ c0_1(a359)
            & c3_1(a359)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a358)
            & ~ c0_1(a358)
            & c2_1(a358)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a355)
            & c2_1(a355)
            & c1_1(a355)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a354)
            & ~ c2_1(a354)
            & c1_1(a354)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a353)
            & c2_1(a353)
            & c1_1(a353)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a349)
            & c3_1(a349)
            & c1_1(a349)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a348)
            & ~ c1_1(a348)
            & c0_1(a348)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a347)
            & c3_1(a347)
            & c2_1(a347)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a346)
            & c2_1(a346)
            & c0_1(a346)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a345)
            & c3_1(a345)
            & c0_1(a345)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a338)
            & ~ c1_1(a338)
            & ~ c0_1(a338)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a337)
            & ~ c2_1(a337)
            & c0_1(a337)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a334)
            & ~ c0_1(a334)
            & c2_1(a334)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a332)
            & ~ c2_1(a332)
            & ~ c0_1(a332)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a330)
            & ~ c0_1(a330)
            & c3_1(a330)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a329)
            & ~ c1_1(a329)
            & c2_1(a329)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a327)
            & c1_1(a327)
            & c0_1(a327)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a326)
            & c2_1(a326)
            & c0_1(a326)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a325)
            & c1_1(a325)
            & c0_1(a325)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a324)
            & ~ c1_1(a324)
            & ~ c0_1(a324)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a323)
            & ~ c2_1(a323)
            & ~ c1_1(a323)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a322)
            & c3_1(a322)
            & c2_1(a322)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp16
      | hskp5
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp10
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c1_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp24
      | hskp17
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp7
      | hskp28
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp16
      | hskp4
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp10
      | hskp3
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp28
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp12
      | hskp13
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp20
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp8
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp8
      | hskp3
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp27
      | hskp28
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp10
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c1_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) ) )
    & ( hskp15
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp22
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | ~ c1_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp17
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp22
      | hskp23
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp14
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | c2_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp27
      | hskp26
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp6
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c1_1(X31)
            | ~ c0_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp19
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | ~ c0_1(X33)
            | c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp19
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c0_1(X35)
            | c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | c3_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp5
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c0_1(X37)
            | c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp22
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c3_1(X39)
            | c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c3_1(X40)
            | c1_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | ~ c1_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c1_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp2
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c0_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp22
      | hskp7
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp0
      | hskp19
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp16
      | hskp15
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp14
      | hskp5
      | ! [X49] :
          ( ndr1_0
         => ( c3_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp21
      | ! [X50] :
          ( ndr1_0
         => ( ~ c1_1(X50)
            | ~ c0_1(X50)
            | c3_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( c3_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) ) )
    & ( hskp20
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c0_1(X52)
            | c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) ) )
    & ( hskp12
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | c2_1(X54)
            | c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) ) )
    & ( hskp11
      | hskp19
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp18
      | hskp17
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp4
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c0_1(X58)
            | c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c2_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp12
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c0_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp9
      | hskp16
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp15
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp14
      | hskp13
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp12
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c0_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp26
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c0_1(X71)
            | c2_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c2_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c0_1(X74)
            | c1_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp28
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c0_1(X76)
            | c2_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c2_1(X79)
            | c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp7
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c3_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp27
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c3_1(X83)
            | c0_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp4
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | ~ c1_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c1_1(X87)
            | ~ c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c1_1(X88)
            | c3_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c0_1(X91)
            | c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c2_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp5
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c2_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( ! [X95] :
          ( ndr1_0
         => ( ~ c0_1(X95)
            | c3_1(X95)
            | c2_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c0_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c2_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp11
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | c3_1(X98)
            | c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | c2_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp10
      | hskp5
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c2_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp7
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | ~ c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp9
      | ! [X103] :
          ( ndr1_0
         => ( ~ c0_1(X103)
            | c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp26
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | c2_1(X105)
            | c1_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp8
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c2_1(X107)
            | ~ c1_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c2_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c0_1(X110)
            | c1_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp5
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c1_1(X112)
            | c0_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp7
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c2_1(X114)
            | ~ c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c3_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp6
      | ! [X116] :
          ( ndr1_0
         => ( ~ c2_1(X116)
            | ~ c1_1(X116)
            | ~ c0_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c3_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( hskp1
      | hskp5
      | ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( hskp4
      | hskp3
      | ! [X119] :
          ( ndr1_0
         => ( c2_1(X119)
            | c1_1(X119)
            | c0_1(X119) ) ) )
    & ( hskp2
      | ! [X120] :
          ( ndr1_0
         => ( ~ c2_1(X120)
            | c3_1(X120)
            | c1_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( c2_1(X121)
            | c1_1(X121)
            | c0_1(X121) ) ) )
    & ( hskp1
      | ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | c2_1(X122)
            | c0_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( c2_1(X123)
            | c1_1(X123)
            | c0_1(X123) ) ) )
    & ( hskp0
      | ! [X124] :
          ( ndr1_0
         => ( ~ c1_1(X124)
            | c2_1(X124)
            | c0_1(X124) ) )
      | ! [X125] :
          ( ndr1_0
         => ( c2_1(X125)
            | c1_1(X125)
            | c0_1(X125) ) ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp5
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp17
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp4
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp3
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp13
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp3
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp28
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp23
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c0_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp7
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp19
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp5
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c0_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp16
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c0_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ c1_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c0_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c1_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X98] :
          ( ~ c1_1(X98)
          | c3_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp5
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X105] :
          ( ~ c0_1(X105)
          | c2_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X116] :
          ( ~ c2_1(X116)
          | ~ c1_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c3_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp5
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X119] :
          ( c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X120] :
          ( ~ c2_1(X120)
          | c3_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X122] :
          ( ~ c3_1(X122)
          | c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X124] :
          ( ~ c1_1(X124)
          | c2_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp7
      | hskp24 )
    & ( hskp11
      | hskp18
      | hskp17 )
    & ( hskp8
      | hskp24
      | hskp17 )
    & ( hskp1
      | hskp11
      | hskp25 )
    & ( hskp16
      | hskp25 )
    & ( hskp14
      | hskp17
      | hskp12 )
    & ( hskp8
      | hskp13
      | hskp4 )
    & ( hskp4
      | hskp5
      | hskp3 )
    & ( hskp2
      | hskp24
      | hskp26 )
    & ( hskp10
      | hskp3
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp5
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp17
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp28
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp2
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp4
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp3
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp13
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp3
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp28
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp23
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X33] :
          ( ~ c1_1(X33)
          | ~ c0_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp7
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp19
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp5
      | ! [X49] :
          ( c3_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X50] :
          ( ~ c1_1(X50)
          | ~ c0_1(X50)
          | c3_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( c3_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c0_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c2_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X54] :
          ( ~ c3_1(X54)
          | c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp19
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp16
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp13
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c0_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c2_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c3_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c0_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X83] :
          ( ~ c1_1(X83)
          | c3_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X85] :
          ( ~ c2_1(X85)
          | ~ c1_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( ~ c2_1(X87)
          | ~ c1_1(X87)
          | ~ c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | ~ c1_1(X88)
          | c3_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c1_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c0_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c2_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c1_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( ! [X95] :
          ( ~ c0_1(X95)
          | c3_1(X95)
          | c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c1_1(X97)
          | c2_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X98] :
          ( ~ c1_1(X98)
          | c3_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | c2_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp5
      | ! [X100] :
          ( c3_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X101] :
          ( ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X103] :
          ( ~ c0_1(X103)
          | c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X105] :
          ( ~ c0_1(X105)
          | c2_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c1_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c2_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X112] :
          ( ~ c2_1(X112)
          | ~ c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c3_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X116] :
          ( ~ c2_1(X116)
          | ~ c1_1(X116)
          | ~ c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c3_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp5
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X119] :
          ( c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X120] :
          ( ~ c2_1(X120)
          | c3_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X122] :
          ( ~ c3_1(X122)
          | c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( c2_1(X123)
          | c1_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X124] :
          ( ~ c1_1(X124)
          | c2_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 )
      | ! [X125] :
          ( c2_1(X125)
          | c1_1(X125)
          | c0_1(X125)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a343)
        & c1_1(a343)
        & c0_1(a343)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a341)
        & c2_1(a341)
        & c1_1(a341)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a333)
        & c1_1(a333)
        & c0_1(a333)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a419)
        & ~ c1_1(a419)
        & c0_1(a419)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a401)
        & ~ c0_1(a401)
        & c1_1(a401)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a377)
        & c3_1(a377)
        & c1_1(a377)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a367)
        & ~ c1_1(a367)
        & c3_1(a367)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a359)
        & ~ c0_1(a359)
        & c3_1(a359)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a358)
        & ~ c0_1(a358)
        & c2_1(a358)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a355)
        & c2_1(a355)
        & c1_1(a355)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a354)
        & ~ c2_1(a354)
        & c1_1(a354)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a353)
        & c2_1(a353)
        & c1_1(a353)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a349)
        & c3_1(a349)
        & c1_1(a349)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a348)
        & ~ c1_1(a348)
        & c0_1(a348)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a347)
        & c3_1(a347)
        & c2_1(a347)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a346)
        & c2_1(a346)
        & c0_1(a346)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a345)
        & c3_1(a345)
        & c0_1(a345)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a338)
        & ~ c1_1(a338)
        & ~ c0_1(a338)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a337)
        & ~ c2_1(a337)
        & c0_1(a337)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a334)
        & ~ c0_1(a334)
        & c2_1(a334)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a332)
        & ~ c2_1(a332)
        & ~ c0_1(a332)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a330)
        & ~ c0_1(a330)
        & c3_1(a330)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a329)
        & ~ c1_1(a329)
        & c2_1(a329)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a327)
        & c1_1(a327)
        & c0_1(a327)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a326)
        & c2_1(a326)
        & c0_1(a326)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a325)
        & c1_1(a325)
        & c0_1(a325)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a324)
        & ~ c1_1(a324)
        & ~ c0_1(a324)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a323)
        & ~ c2_1(a323)
        & ~ c1_1(a323)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a322)
        & c3_1(a322)
        & c2_1(a322)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f7,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f8,plain,
    ( c2_1(a322)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c3_1(a322)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c0_1(a322)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( ~ c1_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( ~ c2_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c3_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f15,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( ~ c0_1(a324)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c1_1(a324)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c3_1(a324)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c0_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( c2_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c1_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c0_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( c1_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c3_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c2_1(a329)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( ~ c1_1(a329)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c3_1(a329)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c3_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( ~ c0_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c1_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( ~ c0_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( ~ c2_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c3_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c2_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( ~ c0_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c1_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c0_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( ~ c2_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c3_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( ~ c1_1(a338)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c2_1(a338)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c0_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( c3_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c2_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c0_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( c2_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c3_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c2_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( c3_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c1_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c0_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( ~ c1_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c3_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( c1_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( c3_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f74,plain,
    ( ~ c2_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c1_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( c2_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c3_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( c2_1(a358)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( ~ c0_1(a358)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c3_1(a358)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( c3_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( ~ c0_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c2_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( c3_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( ~ c1_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c2_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f103,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c1_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( ~ c0_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c2_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f108,plain,
    ( c0_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f109,plain,
    ( ~ c1_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f110,plain,
    ( ~ c2_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f111,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f112,plain,
    ( c0_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( c1_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( c3_1(a333)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c1_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ( c2_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( c3_1(a341)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c0_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c1_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c2_1(a343)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f152,plain,
    ! [X65] :
      ( hskp9
      | hskp16
      | ~ c2_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f161,plain,
    ! [X49] :
      ( hskp14
      | hskp5
      | c3_1(X49)
      | c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f162,plain,
    ! [X48] :
      ( hskp16
      | hskp15
      | c3_1(X48)
      | c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f164,plain,
    ! [X46] :
      ( hskp22
      | hskp7
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f177,plain,
    ! [X22] :
      ( hskp15
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f180,plain,
    ! [X16] :
      ( hskp27
      | hskp28
      | ~ c0_1(X16)
      | c3_1(X16)
      | c2_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f184,plain,
    ! [X10] :
      ( hskp12
      | hskp13
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c2_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f185,plain,
    ! [X9] :
      ( hskp28
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f187,plain,
    ! [X7] :
      ( hskp16
      | hskp4
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f189,plain,
    ! [X5] :
      ( hskp7
      | hskp28
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f194,plain,
    ( hskp2
    | hskp24
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f198,plain,
    ( hskp16
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f199,plain,
    ( hskp1
    | hskp11
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f202,plain,
    ( hskp7
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp7
    | hskp24 ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_52,negated_conjecture,
    ( hskp11
    | hskp1
    | hskp25 ),
    inference(cnf_transformation,[],[f199]) ).

cnf(c_53,negated_conjecture,
    ( hskp25
    | hskp16 ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_57,negated_conjecture,
    ( hskp24
    | hskp2
    | hskp26 ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_60,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp10 ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_62,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp7
    | hskp28 ),
    inference(cnf_transformation,[],[f189]) ).

cnf(c_64,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp16
    | hskp4 ),
    inference(cnf_transformation,[],[f187]) ).

cnf(c_66,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp28 ),
    inference(cnf_transformation,[],[f185]) ).

cnf(c_67,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp12
    | hskp13 ),
    inference(cnf_transformation,[],[f184]) ).

cnf(c_68,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp20 ),
    inference(cnf_transformation,[],[f204]) ).

cnf(c_69,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_71,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp27 ),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_72,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_73,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_74,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp15 ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_75,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | hskp22 ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_78,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | hskp14 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_80,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_81,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | hskp19 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_82,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_83,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_84,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_85,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_86,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_87,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp7
    | hskp22 ),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_89,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp16
    | hskp15 ),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_90,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp5 ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_91,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp21 ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_93,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp12 ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_96,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X0)
    | hskp4 ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_97,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X0)
    | hskp12 ),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_98,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_99,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp16
    | hskp9 ),
    inference(cnf_transformation,[],[f152]) ).

cnf(c_100,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp15 ),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_102,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp26 ),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_104,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_105,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_106,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_107,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_110,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_111,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_112,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_114,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp11 ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_116,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp7 ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_118,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp26 ),
    inference(cnf_transformation,[],[f240]) ).

cnf(c_120,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f242]) ).

cnf(c_121,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f243]) ).

cnf(c_126,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f246]) ).

cnf(c_127,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f247]) ).

cnf(c_128,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f248]) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp28
    | c2_1(a343) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp28
    | c1_1(a343) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp28
    | c0_1(a343) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp27
    | c3_1(a341) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp27
    | c2_1(a341) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp27
    | c1_1(a341) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp26
    | c3_1(a333) ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp26
    | c1_1(a333) ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp26
    | c0_1(a333) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_140,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf_transformation,[],[f111]) ).

cnf(c_141,negated_conjecture,
    ( ~ c2_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_142,negated_conjecture,
    ( ~ c1_1(a419)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp25
    | c0_1(a419) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_145,negated_conjecture,
    ( ~ c2_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_146,negated_conjecture,
    ( ~ c0_1(a401)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_147,negated_conjecture,
    ( ~ hskp24
    | c1_1(a401) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_148,negated_conjecture,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_153,negated_conjecture,
    ( ~ c2_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_154,negated_conjecture,
    ( ~ c1_1(a367)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp22
    | c3_1(a367) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_157,negated_conjecture,
    ( ~ c2_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_158,negated_conjecture,
    ( ~ c0_1(a359)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp21
    | c3_1(a359) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_161,negated_conjecture,
    ( ~ c3_1(a358)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_162,negated_conjecture,
    ( ~ c0_1(a358)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_163,negated_conjecture,
    ( ~ hskp20
    | c2_1(a358) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_165,negated_conjecture,
    ( ~ c3_1(a355)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_166,negated_conjecture,
    ( ~ hskp19
    | c2_1(a355) ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_167,negated_conjecture,
    ( ~ hskp19
    | c1_1(a355) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_177,negated_conjecture,
    ( ~ c2_1(a349)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_178,negated_conjecture,
    ( ~ hskp16
    | c3_1(a349) ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp16
    | c1_1(a349) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_181,negated_conjecture,
    ( ~ c3_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_182,negated_conjecture,
    ( ~ c1_1(a348)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp15
    | c0_1(a348) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_185,negated_conjecture,
    ( ~ c1_1(a347)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_186,negated_conjecture,
    ( ~ hskp14
    | c3_1(a347) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp14
    | c2_1(a347) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_189,negated_conjecture,
    ( ~ c3_1(a346)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_190,negated_conjecture,
    ( ~ hskp13
    | c2_1(a346) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp13
    | c0_1(a346) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_193,negated_conjecture,
    ( ~ c2_1(a345)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_194,negated_conjecture,
    ( ~ hskp12
    | c3_1(a345) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp12
    | c0_1(a345) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_197,negated_conjecture,
    ( ~ c2_1(a338)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_198,negated_conjecture,
    ( ~ c1_1(a338)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_201,negated_conjecture,
    ( ~ c3_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_202,negated_conjecture,
    ( ~ c2_1(a337)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp10
    | c0_1(a337) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_205,negated_conjecture,
    ( ~ c1_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_206,negated_conjecture,
    ( ~ c0_1(a334)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp9
    | c2_1(a334) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_209,negated_conjecture,
    ( ~ c3_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_210,negated_conjecture,
    ( ~ c2_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_211,negated_conjecture,
    ( ~ c0_1(a332)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_213,negated_conjecture,
    ( ~ c1_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_214,negated_conjecture,
    ( ~ c0_1(a330)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp7
    | c3_1(a330) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_217,negated_conjecture,
    ( ~ c3_1(a329)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_218,negated_conjecture,
    ( ~ c1_1(a329)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_219,negated_conjecture,
    ( ~ hskp6
    | c2_1(a329) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_221,negated_conjecture,
    ( ~ c3_1(a327)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_222,negated_conjecture,
    ( ~ hskp5
    | c1_1(a327) ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp5
    | c0_1(a327) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_225,negated_conjecture,
    ( ~ c1_1(a326)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_226,negated_conjecture,
    ( ~ hskp4
    | c2_1(a326) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp4
    | c0_1(a326) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_233,negated_conjecture,
    ( ~ c3_1(a324)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_234,negated_conjecture,
    ( ~ c1_1(a324)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_235,negated_conjecture,
    ( ~ c0_1(a324)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_236,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_237,negated_conjecture,
    ( ~ c3_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_238,negated_conjecture,
    ( ~ c2_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_239,negated_conjecture,
    ( ~ c1_1(a323)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_241,negated_conjecture,
    ( ~ c0_1(a322)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_242,negated_conjecture,
    ( ~ hskp0
    | c3_1(a322) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp0
    | c2_1(a322) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_244,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_253,plain,
    ( ~ c3_1(a322)
    | ~ c2_1(a322)
    | ~ ndr1_0
    | c1_1(a322)
    | hskp15 ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_277,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_244,c_236,c_148,c_140,c_57]) ).

cnf(c_344,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_236,c_148,c_140,c_57,c_90]) ).

cnf(c_347,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp16
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_236,c_148,c_140,c_57,c_89]) ).

cnf(c_356,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp7
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_87,c_236,c_148,c_140,c_57,c_87]) ).

cnf(c_359,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_236,c_148,c_140,c_57,c_74]) ).

cnf(c_360,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_359]) ).

cnf(c_362,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp28
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_236,c_148,c_140,c_57,c_71]) ).

cnf(c_368,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_236,c_148,c_140,c_57,c_66]) ).

cnf(c_369,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_368]) ).

cnf(c_371,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp16
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_236,c_148,c_140,c_57,c_99]) ).

cnf(c_372,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp16
    | hskp9 ),
    inference(renaming,[status(thm)],[c_371]) ).

cnf(c_386,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp12
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_236,c_148,c_140,c_57,c_67]) ).

cnf(c_387,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp12
    | hskp13 ),
    inference(renaming,[status(thm)],[c_386]) ).

cnf(c_392,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp16
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_236,c_148,c_140,c_57,c_64]) ).

cnf(c_393,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp16
    | hskp4 ),
    inference(renaming,[status(thm)],[c_392]) ).

cnf(c_398,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp7
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_236,c_148,c_140,c_57,c_62]) ).

cnf(c_399,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp7
    | hskp28 ),
    inference(renaming,[status(thm)],[c_398]) ).

cnf(c_410,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_128,c_236,c_148,c_140,c_57,c_128]) ).

cnf(c_412,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_127,c_236,c_148,c_140,c_57,c_127]) ).

cnf(c_415,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_126,c_236,c_148,c_140,c_57,c_126]) ).

cnf(c_417,negated_conjecture,
    ( ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_236,c_148,c_140,c_57,c_93]) ).

cnf(c_419,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_236,c_148,c_140,c_57,c_118]) ).

cnf(c_420,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp26 ),
    inference(renaming,[status(thm)],[c_419]) ).

cnf(c_423,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_236,c_148,c_140,c_57,c_114]) ).

cnf(c_424,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_423]) ).

cnf(c_428,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_236,c_148,c_140,c_57,c_107]) ).

cnf(c_429,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_432,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_236,c_148,c_140,c_57,c_91]) ).

cnf(c_433,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp21 ),
    inference(renaming,[status(thm)],[c_432]) ).

cnf(c_434,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_236,c_148,c_140,c_57,c_84]) ).

cnf(c_435,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_434]) ).

cnf(c_441,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_236,c_148,c_140,c_57,c_121]) ).

cnf(c_442,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_441]) ).

cnf(c_443,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_112,c_236,c_148,c_140,c_57,c_112]) ).

cnf(c_444,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_443]) ).

cnf(c_447,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_105,c_236,c_148,c_140,c_57,c_105]) ).

cnf(c_448,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_447]) ).

cnf(c_449,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_236,c_148,c_140,c_57,c_103]) ).

cnf(c_450,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp26 ),
    inference(renaming,[status(thm)],[c_449]) ).

cnf(c_451,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_236,c_148,c_140,c_57,c_102]) ).

cnf(c_452,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_451]) ).

cnf(c_453,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_236,c_148,c_140,c_57,c_100]) ).

cnf(c_454,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_453]) ).

cnf(c_455,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_236,c_148,c_140,c_57,c_86]) ).

cnf(c_456,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_455]) ).

cnf(c_458,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_236,c_148,c_140,c_57,c_83]) ).

cnf(c_459,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_458]) ).

cnf(c_461,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_82,c_236,c_148,c_140,c_57,c_82]) ).

cnf(c_462,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_461]) ).

cnf(c_465,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_116,c_236,c_148,c_140,c_57,c_116]) ).

cnf(c_466,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_465]) ).

cnf(c_467,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_236,c_148,c_140,c_57,c_97]) ).

cnf(c_468,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_467]) ).

cnf(c_469,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_236,c_148,c_140,c_57,c_96]) ).

cnf(c_470,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_469]) ).

cnf(c_471,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_236,c_148,c_140,c_57,c_81]) ).

cnf(c_472,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_471]) ).

cnf(c_473,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_236,c_148,c_140,c_57,c_78]) ).

cnf(c_474,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp14 ),
    inference(renaming,[status(thm)],[c_473]) ).

cnf(c_477,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_236,c_148,c_140,c_57,c_72]) ).

cnf(c_478,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_477]) ).

cnf(c_479,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_236,c_148,c_140,c_57,c_69]) ).

cnf(c_480,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_479]) ).

cnf(c_482,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_236,c_148,c_140,c_57,c_80]) ).

cnf(c_483,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_482]) ).

cnf(c_484,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_236,c_148,c_140,c_57,c_75]) ).

cnf(c_485,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_484]) ).

cnf(c_486,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_236,c_148,c_140,c_57,c_68]) ).

cnf(c_487,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_486]) ).

cnf(c_488,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_236,c_148,c_140,c_57,c_60]) ).

cnf(c_489,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_488]) ).

cnf(c_493,plain,
    ( ~ c0_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_236,c_148,c_140,c_57,c_106]) ).

cnf(c_494,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_493]) ).

cnf(c_495,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_104,c_104,c_277]) ).

cnf(c_496,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_495]) ).

cnf(c_497,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_120,c_236,c_148,c_140,c_57,c_120]) ).

cnf(c_498,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_497]) ).

cnf(c_499,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_236,c_148,c_140,c_57,c_98]) ).

cnf(c_500,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_499]) ).

cnf(c_501,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_236,c_148,c_140,c_57,c_111]) ).

cnf(c_502,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_501]) ).

cnf(c_503,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_110,c_236,c_148,c_140,c_57,c_110]) ).

cnf(c_504,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_503]) ).

cnf(c_505,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_236,c_148,c_140,c_57,c_85]) ).

cnf(c_506,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_505]) ).

cnf(c_507,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_236,c_148,c_140,c_57,c_73]) ).

cnf(c_508,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_507]) ).

cnf(c_1835,plain,
    ( c0_1(a419)
    | hskp16 ),
    inference(resolution,[status(thm)],[c_53,c_143]) ).

cnf(c_1842,plain,
    ( ~ c1_1(a419)
    | hskp16 ),
    inference(resolution,[status(thm)],[c_53,c_142]) ).

cnf(c_1849,plain,
    ( ~ c2_1(a419)
    | hskp16 ),
    inference(resolution,[status(thm)],[c_53,c_141]) ).

cnf(c_1866,plain,
    ( ~ c1_1(a419)
    | hskp11
    | hskp1 ),
    inference(resolution,[status(thm)],[c_52,c_142]) ).

cnf(c_1876,plain,
    ( ~ c2_1(a419)
    | hskp11
    | hskp1 ),
    inference(resolution,[status(thm)],[c_52,c_141]) ).

cnf(c_2575,plain,
    ( c1_1(a401)
    | hskp7 ),
    inference(resolution,[status(thm)],[c_49,c_147]) ).

cnf(c_2582,plain,
    ( ~ c0_1(a401)
    | hskp7 ),
    inference(resolution,[status(thm)],[c_49,c_146]) ).

cnf(c_2589,plain,
    ( ~ c2_1(a401)
    | hskp7 ),
    inference(resolution,[status(thm)],[c_49,c_145]) ).

cnf(c_17615,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_508]) ).

cnf(c_17616,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_508]) ).

cnf(c_17617,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_508]) ).

cnf(c_17618,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).

cnf(c_17619,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_506]) ).

cnf(c_17620,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_506]) ).

cnf(c_17621,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_506]) ).

cnf(c_17622,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_506]) ).

cnf(c_17623,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_504]) ).

cnf(c_17624,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_504]) ).

cnf(c_17625,negated_conjecture,
    ( sP3_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).

cnf(c_17626,negated_conjecture,
    ( sP0_iProver_def
    | sP2_iProver_def
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).

cnf(c_17627,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_500]) ).

cnf(c_17628,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_500]) ).

cnf(c_17629,negated_conjecture,
    ( sP5_iProver_def
    | sP8_iProver_def
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).

cnf(c_17630,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_498]) ).

cnf(c_17631,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_498]) ).

cnf(c_17632,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_498]) ).

cnf(c_17633,negated_conjecture,
    ( sP10_iProver_def
    | sP11_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

cnf(c_17634,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_496]) ).

cnf(c_17635,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_496]) ).

cnf(c_17636,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_def])],[c_496]) ).

cnf(c_17637,negated_conjecture,
    ( sP13_iProver_def
    | sP14_iProver_def
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

cnf(c_17638,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_494]) ).

cnf(c_17639,negated_conjecture,
    ( sP8_iProver_def
    | sP12_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

cnf(c_17641,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_489]) ).

cnf(c_17642,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_489]) ).

cnf(c_17643,negated_conjecture,
    ( hskp10
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).

cnf(c_17644,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_487]) ).

cnf(c_17645,negated_conjecture,
    ( hskp20
    | sP18_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_487]) ).

cnf(c_17646,negated_conjecture,
    ( hskp22
    | sP12_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_485]) ).

cnf(c_17647,negated_conjecture,
    ( hskp6
    | sP15_iProver_def
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).

cnf(c_17648,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_480]) ).

cnf(c_17649,negated_conjecture,
    ( hskp8
    | sP19_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

cnf(c_17650,negated_conjecture,
    ( hskp10
    | sP1_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

cnf(c_17652,negated_conjecture,
    ( hskp14
    | sP5_iProver_def
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

cnf(c_17653,negated_conjecture,
    ( hskp19
    | sP15_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

cnf(c_17654,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_470]) ).

cnf(c_17655,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_470]) ).

cnf(c_17656,negated_conjecture,
    ( hskp4
    | sP21_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).

cnf(c_17657,negated_conjecture,
    ( hskp12
    | sP9_iProver_def
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

cnf(c_17658,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_def])],[c_466]) ).

cnf(c_17659,negated_conjecture,
    ( hskp7
    | sP3_iProver_def
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

cnf(c_17661,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_462]) ).

cnf(c_17662,negated_conjecture,
    ( hskp19
    | sP10_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

cnf(c_17663,negated_conjecture,
    ( hskp5
    | sP15_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).

cnf(c_17664,negated_conjecture,
    ( hskp2
    | sP0_iProver_def
    | sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

cnf(c_17665,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_454]) ).

cnf(c_17667,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_def])],[c_452]) ).

cnf(c_17668,negated_conjecture,
    ( hskp12
    | sP10_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

cnf(c_17669,negated_conjecture,
    ( hskp26
    | sP0_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

cnf(c_17670,negated_conjecture,
    ( hskp28
    | sP0_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

cnf(c_17672,negated_conjecture,
    ( hskp5
    | sP7_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

cnf(c_17673,negated_conjecture,
    ( hskp5
    | sP11_iProver_def
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

cnf(c_17677,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_def])],[c_435]) ).

cnf(c_17678,negated_conjecture,
    ( hskp22
    | sP1_iProver_def
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).

cnf(c_17679,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_def])],[c_433]) ).

cnf(c_17680,negated_conjecture,
    ( hskp21
    | sP20_iProver_def
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

cnf(c_17682,negated_conjecture,
    ( hskp7
    | sP14_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_17684,negated_conjecture,
    ( hskp11
    | sP7_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

cnf(c_17686,negated_conjecture,
    ( hskp26
    | sP8_iProver_def
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_420]) ).

cnf(c_17687,negated_conjecture,
    ( hskp12
    | sP4_iProver_def
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

cnf(c_17688,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_def])],[c_415]) ).

cnf(c_17690,negated_conjecture,
    ( hskp1
    | sP16_iProver_def
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

cnf(c_17691,negated_conjecture,
    ( hskp0
    | sP7_iProver_def
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

cnf(c_17695,negated_conjecture,
    ( hskp7
    | hskp28
    | sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_399]) ).

cnf(c_17697,negated_conjecture,
    ( hskp16
    | hskp4
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_393]) ).

cnf(c_17699,negated_conjecture,
    ( hskp12
    | hskp13
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

cnf(c_17704,negated_conjecture,
    ( hskp16
    | hskp9
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_372]) ).

cnf(c_17706,negated_conjecture,
    ( hskp28
    | hskp27
    | sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

cnf(c_17707,negated_conjecture,
    ( hskp7
    | hskp22
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

cnf(c_17710,negated_conjecture,
    ( hskp16
    | hskp15
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).

cnf(c_17711,negated_conjecture,
    ( hskp14
    | hskp5
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_344]) ).

cnf(c_17716,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_17618]) ).

cnf(c_17720,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_17622]) ).

cnf(c_17724,negated_conjecture,
    ( sP3_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_17625]) ).

cnf(c_17728,negated_conjecture,
    ( sP0_iProver_def
    | sP2_iProver_def
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_17626]) ).

cnf(c_17732,negated_conjecture,
    ( sP5_iProver_def
    | sP8_iProver_def
    | sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_17629]) ).

cnf(c_17736,negated_conjecture,
    ( sP10_iProver_def
    | sP11_iProver_def
    | sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_17633]) ).

cnf(c_17740,negated_conjecture,
    ( sP13_iProver_def
    | sP14_iProver_def
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_17637]) ).

cnf(c_17743,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP13_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17634]) ).

cnf(c_17744,negated_conjecture,
    ( sP8_iProver_def
    | sP12_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_17639]) ).

cnf(c_17752,negated_conjecture,
    ( hskp10
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_17643]) ).

cnf(c_17755,negated_conjecture,
    ( hskp20
    | sP18_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_17645]) ).

cnf(c_17758,negated_conjecture,
    ( hskp22
    | sP12_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_17646]) ).

cnf(c_17761,negated_conjecture,
    ( hskp6
    | sP15_iProver_def
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_17647]) ).

cnf(c_17762,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_17641]) ).

cnf(c_17764,negated_conjecture,
    ( hskp8
    | sP19_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_17649]) ).

cnf(c_17767,negated_conjecture,
    ( hskp10
    | sP1_iProver_def
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_17650]) ).

cnf(c_17773,negated_conjecture,
    ( hskp14
    | sP5_iProver_def
    | sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_17652]) ).

cnf(c_17774,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP5_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17621]) ).

cnf(c_17776,negated_conjecture,
    ( hskp19
    | sP15_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_17653]) ).

cnf(c_17779,negated_conjecture,
    ( hskp4
    | sP21_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_17656]) ).

cnf(c_17782,negated_conjecture,
    ( hskp12
    | sP9_iProver_def
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_17657]) ).

cnf(c_17783,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP9_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17628]) ).

cnf(c_17785,negated_conjecture,
    ( hskp7
    | sP3_iProver_def
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_17659]) ).

cnf(c_17791,negated_conjecture,
    ( hskp19
    | sP10_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_17662]) ).

cnf(c_17794,negated_conjecture,
    ( hskp5
    | sP15_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_17663]) ).

cnf(c_17797,negated_conjecture,
    ( hskp2
    | sP0_iProver_def
    | sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_17664]) ).

cnf(c_17803,negated_conjecture,
    ( hskp12
    | sP10_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_17668]) ).

cnf(c_17806,negated_conjecture,
    ( hskp26
    | sP0_iProver_def
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_17669]) ).

cnf(c_17809,negated_conjecture,
    ( hskp28
    | sP0_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_17670]) ).

cnf(c_17810,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP0_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17615]) ).

cnf(c_17815,negated_conjecture,
    ( hskp5
    | sP7_iProver_def
    | sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_17672]) ).

cnf(c_17816,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP12_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17632]) ).

cnf(c_17818,negated_conjecture,
    ( hskp5
    | sP11_iProver_def
    | sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_17673]) ).

cnf(c_17820,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP11_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17631]) ).

cnf(c_17827,negated_conjecture,
    ( hskp22
    | sP1_iProver_def
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_17678]) ).

cnf(c_17829,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP28_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17677]) ).

cnf(c_17830,negated_conjecture,
    ( hskp21
    | sP20_iProver_def
    | sP29_iProver_def ),
    inference(demodulation,[status(thm)],[c_17680]) ).

cnf(c_17831,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP20_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17648]) ).

cnf(c_17836,negated_conjecture,
    ( hskp7
    | sP14_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_17682]) ).

cnf(c_17842,negated_conjecture,
    ( hskp11
    | sP7_iProver_def
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_17684]) ).

cnf(c_17843,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP14_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17635]) ).

cnf(c_17848,negated_conjecture,
    ( hskp26
    | sP8_iProver_def
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_17686]) ).

cnf(c_17849,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP23_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17658]) ).

cnf(c_17851,negated_conjecture,
    ( hskp12
    | sP4_iProver_def
    | sP29_iProver_def ),
    inference(demodulation,[status(thm)],[c_17687]) ).

cnf(c_17852,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP4_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17620]) ).

cnf(c_17855,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP24_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17661]) ).

cnf(c_17857,negated_conjecture,
    ( hskp1
    | sP16_iProver_def
    | sP30_iProver_def ),
    inference(demodulation,[status(thm)],[c_17690]) ).

cnf(c_17858,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP16_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17638]) ).

cnf(c_17860,negated_conjecture,
    ( hskp0
    | sP7_iProver_def
    | sP30_iProver_def ),
    inference(demodulation,[status(thm)],[c_17691]) ).

cnf(c_17861,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP7_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17624]) ).

cnf(c_17864,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_17642]) ).

cnf(c_17866,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_17617]) ).

cnf(c_17868,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_17619]) ).

cnf(c_17869,negated_conjecture,
    ( hskp7
    | hskp28
    | sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_17695]) ).

cnf(c_17870,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP6_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17623]) ).

cnf(c_17873,negated_conjecture,
    ( hskp16
    | hskp4
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_17697]) ).

cnf(c_17876,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP21_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17654]) ).

cnf(c_17877,negated_conjecture,
    ( hskp12
    | hskp13
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_17699]) ).

cnf(c_17878,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP19_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17644]) ).

cnf(c_17880,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP10_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17630]) ).

cnf(c_17882,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP15_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17636]) ).

cnf(c_17886,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP22_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17655]) ).

cnf(c_17887,negated_conjecture,
    ( hskp16
    | hskp9
    | sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_17704]) ).

cnf(c_17888,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP25_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17665]) ).

cnf(c_17889,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp28 ),
    inference(demodulation,[status(thm)],[c_369]) ).

cnf(c_17892,negated_conjecture,
    ( hskp28
    | hskp27
    | sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_17706]) ).

cnf(c_17893,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP1_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17616]) ).

cnf(c_17894,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_360]) ).

cnf(c_17895,negated_conjecture,
    ( hskp7
    | hskp22
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_17707]) ).

cnf(c_17898,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP8_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17627]) ).

cnf(c_17900,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP26_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17667]) ).

cnf(c_17901,negated_conjecture,
    ( hskp16
    | hskp15
    | sP29_iProver_def ),
    inference(demodulation,[status(thm)],[c_17710]) ).

cnf(c_17903,negated_conjecture,
    ( hskp14
    | hskp5
    | sP29_iProver_def ),
    inference(demodulation,[status(thm)],[c_17711]) ).

cnf(c_17904,negated_conjecture,
    ( ~ sP29_iProver_def
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17679]) ).

cnf(c_17910,negated_conjecture,
    ( ~ sP30_iProver_def
    | c2_1(X0)
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17688]) ).

cnf(c_18019,plain,
    ( ~ c3_1(a322)
    | ~ sP23_iProver_def
    | c1_1(a322)
    | c0_1(a322) ),
    inference(instantiation,[status(thm)],[c_17849]) ).

cnf(c_18032,plain,
    ( ~ c3_1(a322)
    | ~ c2_1(a322)
    | ~ sP22_iProver_def
    | c0_1(a322) ),
    inference(instantiation,[status(thm)],[c_17886]) ).

cnf(c_18037,plain,
    ( ~ c3_1(a322)
    | ~ c2_1(a322)
    | ~ c1_1(a322)
    | ~ sP18_iProver_def ),
    inference(instantiation,[status(thm)],[c_17864]) ).

cnf(c_18047,plain,
    ( ~ c3_1(a345)
    | ~ c0_1(a345)
    | ~ sP0_iProver_def
    | c2_1(a345) ),
    inference(instantiation,[status(thm)],[c_17810]) ).

cnf(c_18055,plain,
    ( ~ c2_1(a327)
    | ~ c1_1(a327)
    | ~ c0_1(a327)
    | ~ sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_17868]) ).

cnf(c_18058,plain,
    ( ~ c2_1(a355)
    | ~ c1_1(a355)
    | ~ sP6_iProver_def
    | c3_1(a355) ),
    inference(instantiation,[status(thm)],[c_17870]) ).

cnf(c_18061,plain,
    ( ~ c2_1(a327)
    | ~ c1_1(a327)
    | ~ sP6_iProver_def
    | c3_1(a327) ),
    inference(instantiation,[status(thm)],[c_17870]) ).

cnf(c_18064,plain,
    ( ~ c2_1(a346)
    | ~ c0_1(a346)
    | ~ sP21_iProver_def
    | c3_1(a346) ),
    inference(instantiation,[status(thm)],[c_17876]) ).

cnf(c_18069,plain,
    ( ~ c3_1(a348)
    | ~ c0_1(a348)
    | ~ sP10_iProver_def
    | c1_1(a348) ),
    inference(instantiation,[status(thm)],[c_17880]) ).

cnf(c_18078,plain,
    ( ~ c3_1(a349)
    | ~ c1_1(a349)
    | c2_1(a349)
    | hskp28 ),
    inference(instantiation,[status(thm)],[c_17889]) ).

cnf(c_18081,plain,
    ( ~ c0_1(a348)
    | ~ sP1_iProver_def
    | c3_1(a348)
    | c2_1(a348) ),
    inference(instantiation,[status(thm)],[c_17893]) ).

cnf(c_18084,plain,
    ( ~ c0_1(a337)
    | ~ sP1_iProver_def
    | c3_1(a337)
    | c2_1(a337) ),
    inference(instantiation,[status(thm)],[c_17893]) ).

cnf(c_18085,plain,
    ( ~ c0_1(a327)
    | ~ sP1_iProver_def
    | c3_1(a327)
    | c2_1(a327) ),
    inference(instantiation,[status(thm)],[c_17893]) ).

cnf(c_18087,plain,
    ( ~ c0_1(a348)
    | ~ sP8_iProver_def
    | c2_1(a348)
    | c1_1(a348) ),
    inference(instantiation,[status(thm)],[c_17898]) ).

cnf(c_18089,plain,
    ( ~ c0_1(a345)
    | ~ sP8_iProver_def
    | c2_1(a345)
    | c1_1(a345) ),
    inference(instantiation,[status(thm)],[c_17898]) ).

cnf(c_18090,plain,
    ( ~ c0_1(a337)
    | ~ sP8_iProver_def
    | c2_1(a337)
    | c1_1(a337) ),
    inference(instantiation,[status(thm)],[c_17898]) ).

cnf(c_18093,plain,
    ( ~ c3_1(a359)
    | ~ c1_1(a359)
    | ~ sP9_iProver_def
    | c0_1(a359) ),
    inference(instantiation,[status(thm)],[c_17783]) ).

cnf(c_18101,plain,
    ( ~ c3_1(a367)
    | ~ sP4_iProver_def
    | c2_1(a367)
    | c1_1(a367) ),
    inference(instantiation,[status(thm)],[c_17852]) ).

cnf(c_18102,plain,
    ( ~ c3_1(a359)
    | ~ sP4_iProver_def
    | c2_1(a359)
    | c1_1(a359) ),
    inference(instantiation,[status(thm)],[c_17852]) ).

cnf(c_18105,plain,
    ( ~ c3_1(a338)
    | ~ sP4_iProver_def
    | c2_1(a338)
    | c1_1(a338) ),
    inference(instantiation,[status(thm)],[c_17852]) ).

cnf(c_18112,plain,
    ( ~ c3_1(a349)
    | ~ c0_1(a349)
    | ~ sP0_iProver_def
    | c2_1(a349) ),
    inference(instantiation,[status(thm)],[c_17810]) ).

cnf(c_18119,plain,
    ( ~ c1_1(a359)
    | ~ sP7_iProver_def
    | c2_1(a359)
    | c0_1(a359) ),
    inference(instantiation,[status(thm)],[c_17861]) ).

cnf(c_18123,plain,
    ( ~ c1_1(a332)
    | ~ sP7_iProver_def
    | c2_1(a332)
    | c0_1(a332) ),
    inference(instantiation,[status(thm)],[c_17861]) ).

cnf(c_18137,plain,
    ( ~ c3_1(a367)
    | ~ c0_1(a367)
    | ~ sP10_iProver_def
    | c1_1(a367) ),
    inference(instantiation,[status(thm)],[c_17880]) ).

cnf(c_18148,plain,
    ( ~ c1_1(a332)
    | ~ sP14_iProver_def
    | c3_1(a332)
    | c0_1(a332) ),
    inference(instantiation,[status(thm)],[c_17843]) ).

cnf(c_18159,plain,
    ( ~ c3_1(a334)
    | ~ c2_1(a334)
    | ~ sP12_iProver_def
    | c1_1(a334) ),
    inference(instantiation,[status(thm)],[c_17816]) ).

cnf(c_18160,plain,
    ( ~ c3_1(a330)
    | ~ c2_1(a330)
    | ~ sP12_iProver_def
    | c1_1(a330) ),
    inference(instantiation,[status(thm)],[c_17816]) ).

cnf(c_18172,plain,
    ( ~ c3_1(a347)
    | ~ c2_1(a347)
    | ~ sP12_iProver_def
    | c1_1(a347) ),
    inference(instantiation,[status(thm)],[c_17816]) ).

cnf(c_18176,plain,
    ( ~ c1_1(a349)
    | ~ c0_1(a349)
    | ~ sP19_iProver_def
    | c2_1(a349) ),
    inference(instantiation,[status(thm)],[c_17878]) ).

cnf(c_18177,plain,
    ( ~ c1_1(a345)
    | ~ c0_1(a345)
    | ~ sP19_iProver_def
    | c2_1(a345) ),
    inference(instantiation,[status(thm)],[c_17878]) ).

cnf(c_18179,plain,
    ( ~ c1_1(a337)
    | ~ c0_1(a337)
    | ~ sP19_iProver_def
    | c2_1(a337) ),
    inference(instantiation,[status(thm)],[c_17878]) ).

cnf(c_18211,plain,
    ( ~ c3_1(a359)
    | ~ c1_1(a359)
    | ~ sP5_iProver_def
    | c2_1(a359) ),
    inference(instantiation,[status(thm)],[c_17774]) ).

cnf(c_18212,plain,
    ( ~ c3_1(a349)
    | ~ c1_1(a349)
    | ~ sP5_iProver_def
    | c2_1(a349) ),
    inference(instantiation,[status(thm)],[c_17774]) ).

cnf(c_18218,plain,
    ( ~ c3_1(a326)
    | ~ c2_1(a326)
    | ~ sP12_iProver_def
    | c1_1(a326) ),
    inference(instantiation,[status(thm)],[c_17816]) ).

cnf(c_18219,plain,
    ( ~ c3_1(a326)
    | ~ c0_1(a326)
    | ~ sP10_iProver_def
    | c1_1(a326) ),
    inference(instantiation,[status(thm)],[c_17880]) ).

cnf(c_18223,plain,
    ( ~ sP29_iProver_def
    | c3_1(a338)
    | c2_1(a338)
    | c1_1(a338) ),
    inference(instantiation,[status(thm)],[c_17904]) ).

cnf(c_18225,plain,
    ( ~ sP29_iProver_def
    | c3_1(a332)
    | c2_1(a332)
    | c1_1(a332) ),
    inference(instantiation,[status(thm)],[c_17904]) ).

cnf(c_18226,plain,
    ( ~ sP29_iProver_def
    | c3_1(a323)
    | c2_1(a323)
    | c1_1(a323) ),
    inference(instantiation,[status(thm)],[c_17904]) ).

cnf(c_18233,plain,
    ( ~ sP30_iProver_def
    | c2_1(a332)
    | c1_1(a332)
    | c0_1(a332) ),
    inference(instantiation,[status(thm)],[c_17910]) ).

cnf(c_18243,plain,
    ( ~ c2_1(a334)
    | ~ sP11_iProver_def
    | c1_1(a334)
    | c0_1(a334) ),
    inference(instantiation,[status(thm)],[c_17820]) ).

cnf(c_18245,plain,
    ( ~ c2_1(a330)
    | ~ sP11_iProver_def
    | c1_1(a330)
    | c0_1(a330) ),
    inference(instantiation,[status(thm)],[c_17820]) ).

cnf(c_18246,plain,
    ( ~ c2_1(a324)
    | ~ sP11_iProver_def
    | c1_1(a324)
    | c0_1(a324) ),
    inference(instantiation,[status(thm)],[c_17820]) ).

cnf(c_18251,plain,
    ( ~ c2_1(a348)
    | ~ c0_1(a348)
    | ~ sP15_iProver_def
    | c1_1(a348) ),
    inference(instantiation,[status(thm)],[c_17882]) ).

cnf(c_18256,plain,
    ( ~ c2_1(a326)
    | ~ c0_1(a326)
    | ~ sP15_iProver_def
    | c1_1(a326) ),
    inference(instantiation,[status(thm)],[c_17882]) ).

cnf(c_18262,plain,
    ( ~ c2_1(a358)
    | ~ sP26_iProver_def
    | c3_1(a358)
    | c0_1(a358) ),
    inference(instantiation,[status(thm)],[c_17900]) ).

cnf(c_18274,plain,
    ( ~ c3_1(a419)
    | ~ c0_1(a419)
    | ~ sP10_iProver_def
    | c1_1(a419) ),
    inference(instantiation,[status(thm)],[c_17880]) ).

cnf(c_18276,plain,
    ( ~ sP29_iProver_def
    | c3_1(a419)
    | c2_1(a419)
    | c1_1(a419) ),
    inference(instantiation,[status(thm)],[c_17904]) ).

cnf(c_18279,plain,
    ( ~ c3_1(a419)
    | ~ c0_1(a419)
    | ~ sP0_iProver_def
    | c2_1(a419) ),
    inference(instantiation,[status(thm)],[c_17810]) ).

cnf(c_18280,plain,
    ( ~ c3_1(a419)
    | ~ sP4_iProver_def
    | c2_1(a419)
    | c1_1(a419) ),
    inference(instantiation,[status(thm)],[c_17852]) ).

cnf(c_18281,plain,
    ( ~ c3_1(a341)
    | ~ c1_1(a341)
    | ~ sP9_iProver_def
    | c0_1(a341) ),
    inference(instantiation,[status(thm)],[c_17783]) ).

cnf(c_18285,plain,
    ( ~ c3_1(a349)
    | ~ c1_1(a349)
    | ~ sP9_iProver_def
    | c0_1(a349) ),
    inference(instantiation,[status(thm)],[c_17783]) ).

cnf(c_18299,plain,
    ( ~ c3_1(a330)
    | ~ c2_1(a330)
    | c1_1(a330)
    | hskp15 ),
    inference(instantiation,[status(thm)],[c_17894]) ).

cnf(c_18315,plain,
    ( ~ c3_1(a333)
    | ~ c2_1(a333)
    | ~ c1_1(a333)
    | ~ sP18_iProver_def ),
    inference(instantiation,[status(thm)],[c_17864]) ).

cnf(c_18323,plain,
    ( ~ c2_1(a343)
    | ~ c0_1(a343)
    | ~ sP21_iProver_def
    | c3_1(a343) ),
    inference(instantiation,[status(thm)],[c_17876]) ).

cnf(c_18330,plain,
    ( ~ c0_1(a419)
    | ~ sP1_iProver_def
    | c3_1(a419)
    | c2_1(a419) ),
    inference(instantiation,[status(thm)],[c_17893]) ).

cnf(c_18335,plain,
    ( ~ c0_1(a419)
    | ~ sP8_iProver_def
    | c2_1(a419)
    | c1_1(a419) ),
    inference(instantiation,[status(thm)],[c_17898]) ).

cnf(c_18338,plain,
    ( ~ c3_1(a347)
    | ~ c2_1(a347)
    | c1_1(a347)
    | hskp15 ),
    inference(instantiation,[status(thm)],[c_17894]) ).

cnf(c_18339,plain,
    ( ~ c2_1(a347)
    | ~ sP11_iProver_def
    | c1_1(a347)
    | c0_1(a347) ),
    inference(instantiation,[status(thm)],[c_17820]) ).

cnf(c_18385,plain,
    ( ~ sP30_iProver_def
    | c2_1(a330)
    | c1_1(a330)
    | c0_1(a330) ),
    inference(instantiation,[status(thm)],[c_17910]) ).

cnf(c_18390,plain,
    ( ~ c3_1(a330)
    | ~ sP4_iProver_def
    | c2_1(a330)
    | c1_1(a330) ),
    inference(instantiation,[status(thm)],[c_17852]) ).

cnf(c_18395,plain,
    ( ~ sP29_iProver_def
    | c3_1(a324)
    | c2_1(a324)
    | c1_1(a324) ),
    inference(instantiation,[status(thm)],[c_17904]) ).

cnf(c_18402,plain,
    ( ~ c2_1(a334)
    | ~ sP24_iProver_def
    | c3_1(a334)
    | c1_1(a334) ),
    inference(instantiation,[status(thm)],[c_17855]) ).

cnf(c_18404,plain,
    ( ~ c2_1(a329)
    | ~ sP24_iProver_def
    | c3_1(a329)
    | c1_1(a329) ),
    inference(instantiation,[status(thm)],[c_17855]) ).

cnf(c_18406,plain,
    ( ~ c2_1(a324)
    | ~ sP24_iProver_def
    | c3_1(a324)
    | c1_1(a324) ),
    inference(instantiation,[status(thm)],[c_17855]) ).

cnf(c_18418,plain,
    ( ~ c1_1(a343)
    | ~ c0_1(a343)
    | ~ sP20_iProver_def
    | c3_1(a343) ),
    inference(instantiation,[status(thm)],[c_17831]) ).

cnf(c_18424,plain,
    ( ~ c1_1(a327)
    | ~ c0_1(a327)
    | ~ sP20_iProver_def
    | c3_1(a327) ),
    inference(instantiation,[status(thm)],[c_17831]) ).

cnf(c_18442,plain,
    ( ~ c1_1(a337)
    | ~ c0_1(a337)
    | ~ sP20_iProver_def
    | c3_1(a337) ),
    inference(instantiation,[status(thm)],[c_17831]) ).

cnf(c_18462,plain,
    ( ~ c0_1(a419)
    | ~ sP28_iProver_def
    | c3_1(a419)
    | c1_1(a419) ),
    inference(instantiation,[status(thm)],[c_17829]) ).

cnf(c_18464,plain,
    ( ~ c0_1(a348)
    | ~ sP28_iProver_def
    | c3_1(a348)
    | c1_1(a348) ),
    inference(instantiation,[status(thm)],[c_17829]) ).

cnf(c_18468,plain,
    ( ~ c0_1(a326)
    | ~ sP28_iProver_def
    | c3_1(a326)
    | c1_1(a326) ),
    inference(instantiation,[status(thm)],[c_17829]) ).

cnf(c_18486,plain,
    ( ~ c3_1(a333)
    | ~ c1_1(a333)
    | ~ sP5_iProver_def
    | c2_1(a333) ),
    inference(instantiation,[status(thm)],[c_17774]) ).

cnf(c_18527,plain,
    ( ~ c3_1(a330)
    | ~ sP16_iProver_def
    | c2_1(a330)
    | c0_1(a330) ),
    inference(instantiation,[status(thm)],[c_17858]) ).

cnf(c_18530,plain,
    ( ~ c3_1(a367)
    | ~ sP16_iProver_def
    | c2_1(a367)
    | c0_1(a367) ),
    inference(instantiation,[status(thm)],[c_17858]) ).

cnf(c_18531,plain,
    ( ~ c3_1(a349)
    | ~ sP16_iProver_def
    | c2_1(a349)
    | c0_1(a349) ),
    inference(instantiation,[status(thm)],[c_17858]) ).

cnf(c_18543,plain,
    ( ~ c3_1(a343)
    | ~ c2_1(a343)
    | ~ c0_1(a343)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17866]) ).

cnf(c_18544,plain,
    ( ~ c3_1(a341)
    | ~ c2_1(a341)
    | ~ c0_1(a341)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17866]) ).

cnf(c_18549,plain,
    ( ~ c3_1(a347)
    | ~ c2_1(a347)
    | ~ c0_1(a347)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17866]) ).

cnf(c_18554,plain,
    ( ~ c3_1(a343)
    | ~ c1_1(a343)
    | ~ c0_1(a343)
    | ~ sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_17762]) ).

cnf(c_18555,plain,
    ( ~ c3_1(a333)
    | ~ c1_1(a333)
    | ~ c0_1(a333)
    | ~ sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_17762]) ).

cnf(c_18567,plain,
    ( ~ c3_1(a330)
    | ~ sP23_iProver_def
    | c1_1(a330)
    | c0_1(a330) ),
    inference(instantiation,[status(thm)],[c_17849]) ).

cnf(c_18574,plain,
    ( ~ c2_1(a343)
    | ~ c1_1(a343)
    | ~ c0_1(a343)
    | ~ sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_17868]) ).

cnf(c_18575,plain,
    ( ~ c2_1(a333)
    | ~ c1_1(a333)
    | ~ c0_1(a333)
    | ~ sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_17868]) ).

cnf(c_18651,plain,
    ( ~ c3_1(a333)
    | ~ c2_1(a333)
    | ~ c0_1(a333)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17866]) ).

cnf(c_18680,plain,
    ( ~ c1_1(a401)
    | ~ sP7_iProver_def
    | c2_1(a401)
    | c0_1(a401) ),
    inference(instantiation,[status(thm)],[c_17861]) ).

cnf(c_18682,plain,
    ( ~ c3_1(a401)
    | ~ c1_1(a401)
    | ~ sP5_iProver_def
    | c2_1(a401) ),
    inference(instantiation,[status(thm)],[c_17774]) ).

cnf(c_18683,plain,
    ( ~ c1_1(a401)
    | ~ sP13_iProver_def
    | c3_1(a401)
    | c2_1(a401) ),
    inference(instantiation,[status(thm)],[c_17743]) ).

cnf(c_18685,plain,
    ( ~ c3_1(a401)
    | ~ sP16_iProver_def
    | c2_1(a401)
    | c0_1(a401) ),
    inference(instantiation,[status(thm)],[c_17858]) ).

cnf(c_18694,plain,
    ( ~ c3_1(a359)
    | ~ sP23_iProver_def
    | c1_1(a359)
    | c0_1(a359) ),
    inference(instantiation,[status(thm)],[c_17849]) ).

cnf(c_18695,plain,
    ( ~ c3_1(a359)
    | ~ sP16_iProver_def
    | c2_1(a359)
    | c0_1(a359) ),
    inference(instantiation,[status(thm)],[c_17858]) ).

cnf(c_18752,plain,
    ( ~ c2_1(a341)
    | ~ c1_1(a341)
    | ~ sP25_iProver_def
    | c0_1(a341) ),
    inference(instantiation,[status(thm)],[c_17888]) ).

cnf(c_18763,plain,
    ( ~ c1_1(a401)
    | ~ sP14_iProver_def
    | c3_1(a401)
    | c0_1(a401) ),
    inference(instantiation,[status(thm)],[c_17843]) ).

cnf(c_18791,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18763,c_18752,c_18694,c_18695,c_18685,c_18680,c_18682,c_18683,c_18651,c_18575,c_18574,c_18567,c_18555,c_18554,c_18549,c_18544,c_18543,c_18531,c_18530,c_18527,c_18486,c_18468,c_18464,c_18462,c_18442,c_18424,c_18418,c_18406,c_18404,c_18402,c_18395,c_18385,c_18390,c_18338,c_18339,c_18335,c_18330,c_18323,c_18315,c_18299,c_18285,c_18281,c_18276,c_18279,c_18280,c_18274,c_18262,c_18256,c_18251,c_18246,c_18245,c_18243,c_18233,c_18226,c_18225,c_18223,c_18218,c_18219,c_18212,c_18211,c_18179,c_18177,c_18176,c_18172,c_18160,c_18159,c_18148,c_18137,c_18123,c_18119,c_18112,c_18105,c_18102,c_18101,c_18093,c_18090,c_18089,c_18087,c_18085,c_18084,c_18081,c_18078,c_18069,c_18064,c_18061,c_18058,c_18055,c_18047,c_18037,c_18032,c_18019,c_17903,c_17901,c_17895,c_17892,c_17887,c_17877,c_17873,c_17869,c_17860,c_17857,c_17851,c_17848,c_17842,c_17836,c_17830,c_17827,c_17818,c_17815,c_17809,c_17806,c_17803,c_17797,c_17794,c_17791,c_17785,c_17782,c_17779,c_17776,c_17773,c_17767,c_17764,c_17761,c_17758,c_17755,c_17752,c_17744,c_17740,c_17736,c_17732,c_17728,c_17724,c_17720,c_17716,c_2589,c_2582,c_2575,c_1876,c_1866,c_1849,c_1842,c_1835,c_277,c_253,c_153,c_154,c_157,c_158,c_161,c_162,c_165,c_177,c_181,c_182,c_185,c_189,c_193,c_197,c_198,c_201,c_202,c_205,c_206,c_209,c_210,c_211,c_213,c_214,c_217,c_218,c_221,c_225,c_233,c_234,c_235,c_237,c_238,c_239,c_241,c_129,c_130,c_131,c_133,c_134,c_135,c_137,c_138,c_139,c_155,c_159,c_163,c_166,c_167,c_178,c_179,c_183,c_186,c_187,c_190,c_191,c_194,c_195,c_203,c_207,c_215,c_219,c_222,c_223,c_226,c_227,c_242,c_243]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN506+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 20:43:21 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.61/1.16  % SZS status Started for theBenchmark.p
% 3.61/1.16  % SZS status Theorem for theBenchmark.p
% 3.61/1.16  
% 3.61/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.61/1.16  
% 3.61/1.16  ------  iProver source info
% 3.61/1.16  
% 3.61/1.16  git: date: 2024-05-02 19:28:25 +0000
% 3.61/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.61/1.16  git: non_committed_changes: false
% 3.61/1.16  
% 3.61/1.16  ------ Parsing...
% 3.61/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.61/1.16  
% 3.61/1.16  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.61/1.16   gs_s  sp: 124 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.61/1.16  ------ Proving...
% 3.61/1.16  ------ Problem Properties 
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  clauses                                 199
% 3.61/1.16  conjectures                             199
% 3.61/1.16  EPR                                     199
% 3.61/1.16  Horn                                    103
% 3.61/1.16  unary                                   0
% 3.61/1.16  binary                                  89
% 3.61/1.16  lits                                    542
% 3.61/1.16  lits eq                                 0
% 3.61/1.16  fd_pure                                 0
% 3.61/1.16  fd_pseudo                               0
% 3.61/1.16  fd_cond                                 0
% 3.61/1.16  fd_pseudo_cond                          0
% 3.61/1.16  AC symbols                              0
% 3.61/1.16  
% 3.61/1.16  ------ Schedule EPR non Horn non eq is on
% 3.61/1.16  
% 3.61/1.16  ------ no equalities: superposition off 
% 3.61/1.16  
% 3.61/1.16  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  ------ 
% 3.61/1.16  Current options:
% 3.61/1.16  ------ 
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  ------ Proving...
% 3.61/1.16  
% 3.61/1.16  
% 3.61/1.16  % SZS status Theorem for theBenchmark.p
% 3.61/1.16  
% 3.61/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.61/1.17  
% 3.61/1.17  
%------------------------------------------------------------------------------