TSTP Solution File: SYN505+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN505+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 Sep  1 03:08:00 EDT 2023

% Result   : Theorem 2.59s 1.18s
% Output   : CNFRefutation 2.59s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f237)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp13
        | hskp1
        | hskp22 )
      & ( hskp23
        | hskp3
        | hskp5 )
      & ( hskp27
        | hskp8
        | hskp7 )
      & ( hskp9
        | hskp12
        | hskp11 )
      & ( hskp25
        | hskp14
        | hskp0 )
      & ( hskp10
        | hskp30
        | hskp0 )
      & ( hskp23
        | hskp2
        | hskp26 )
      & ( hskp13
        | hskp16
        | hskp26 )
      & ( hskp10
        | hskp19
        | hskp31 )
      & ( hskp3
        | hskp12
        | hskp29 )
      & ( hskp9
        | hskp15
        | hskp29 )
      & ( hskp17
        | hskp8
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c2_1(X116)
              | ~ c1_1(X116) ) ) )
      & ( hskp3
        | hskp25
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp25
        | hskp14
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp10
        | hskp24
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp4
        | hskp6
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp13
        | hskp8
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp10
        | hskp14
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) ) )
      & ( hskp4
        | hskp18
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp31
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c1_1(X107)
              | ~ c0_1(X107) ) ) )
      & ( hskp17
        | hskp18
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c1_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp7
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c1_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp31
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c0_1(X102)
              | c3_1(X102) ) ) )
      & ( hskp12
        | hskp30
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) ) )
      & ( hskp8
        | hskp24
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c1_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c3_1(X97) ) ) )
      & ( hskp17
        | hskp5
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | ~ c0_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp23
        | hskp9
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp22
        | hskp20
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp9
        | hskp11
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp6
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c1_1(X88)
              | ~ c0_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c2_1(X87) ) ) )
      & ( hskp0
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp21
        | hskp17
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp18
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp12
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp21
        | hskp30
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp21
        | hskp20
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp1
        | hskp18
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp2
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c1_1(X75) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | c3_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp9
        | hskp17
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp19
        | hskp18
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp14
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | c3_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp2
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp16
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp6
        | hskp18
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp17
        | hskp7
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | ~ c0_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | c0_1(X59) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | ~ c0_1(X58)
              | c3_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp16
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp5
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp1
        | hskp30
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp16
        | hskp7
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp1
        | hskp15
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp14
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c1_1(X46)
              | c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp13
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp12
        | hskp5
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp11
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp10
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c1_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp9
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp29
        | ! [X32] :
            ( ndr1_0
           => ( ~ c0_1(X32)
              | c2_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp0
        | hskp29
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp8
        | hskp7
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp6
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | ~ c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | c3_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp28
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | ~ c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp5
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c2_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | c3_1(X17)
              | c2_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | c2_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | c3_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c0_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp5
        | ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | c2_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c1_1(X6)
              | c3_1(X6)
              | c2_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c2_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp4
        | hskp3
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( hskp2
        | hskp1
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | ~ c0_1(X1)
              | c3_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a529)
          & c1_1(a529)
          & c0_1(a529)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a488)
          & c2_1(a488)
          & c1_1(a488)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a474)
          & c1_1(a474)
          & c0_1(a474)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a469)
          & c2_1(a469)
          & c0_1(a469)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a576)
          & ~ c2_1(a576)
          & ~ c1_1(a576)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a559)
          & c1_1(a559)
          & c0_1(a559)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a545)
          & c3_1(a545)
          & c1_1(a545)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a525)
          & c1_1(a525)
          & c0_1(a525)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a521)
          & ~ c2_1(a521)
          & ~ c0_1(a521)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a519)
          & ~ c0_1(a519)
          & c1_1(a519)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a507)
          & ~ c0_1(a507)
          & c2_1(a507)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a506)
          & c2_1(a506)
          & c1_1(a506)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a500)
          & ~ c2_1(a500)
          & c1_1(a500)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a494)
          & ~ c2_1(a494)
          & c0_1(a494)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a493)
          & c3_1(a493)
          & c2_1(a493)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a487)
          & ~ c1_1(a487)
          & c0_1(a487)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a484)
          & c2_1(a484)
          & c0_1(a484)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a483)
          & c2_1(a483)
          & c1_1(a483)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a482)
          & ~ c1_1(a482)
          & c3_1(a482)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a481)
          & ~ c0_1(a481)
          & c1_1(a481)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a479)
          & c3_1(a479)
          & c0_1(a479)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a478)
          & ~ c0_1(a478)
          & c2_1(a478)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a477)
          & c3_1(a477)
          & c2_1(a477)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a472)
          & c3_1(a472)
          & c1_1(a472)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a471)
          & c3_1(a471)
          & c0_1(a471)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a470)
          & ~ c1_1(a470)
          & ~ c0_1(a470)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a467)
          & ~ c1_1(a467)
          & c0_1(a467)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a466)
          & ~ c1_1(a466)
          & ~ c0_1(a466)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a465)
          & ~ c0_1(a465)
          & c3_1(a465)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a464)
          & ~ c0_1(a464)
          & c3_1(a464)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a463)
          & ~ c1_1(a463)
          & c2_1(a463)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a462)
          & c2_1(a462)
          & c0_1(a462)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp13
          | hskp1
          | hskp22 )
        & ( hskp23
          | hskp3
          | hskp5 )
        & ( hskp27
          | hskp8
          | hskp7 )
        & ( hskp9
          | hskp12
          | hskp11 )
        & ( hskp25
          | hskp14
          | hskp0 )
        & ( hskp10
          | hskp30
          | hskp0 )
        & ( hskp23
          | hskp2
          | hskp26 )
        & ( hskp13
          | hskp16
          | hskp26 )
        & ( hskp10
          | hskp19
          | hskp31 )
        & ( hskp3
          | hskp12
          | hskp29 )
        & ( hskp9
          | hskp15
          | hskp29 )
        & ( hskp17
          | hskp8
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c2_1(X116)
                | ~ c1_1(X116) ) ) )
        & ( hskp3
          | hskp25
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp25
          | hskp14
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp10
          | hskp24
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp4
          | hskp6
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp13
          | hskp8
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp10
          | hskp14
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) ) )
        & ( hskp4
          | hskp18
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp31
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | ~ c0_1(X107) ) ) )
        & ( hskp17
          | hskp18
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp7
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp31
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) ) )
        & ( hskp12
          | hskp30
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) ) )
        & ( hskp8
          | hskp24
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c3_1(X97) ) ) )
        & ( hskp17
          | hskp5
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c0_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp23
          | hskp9
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp22
          | hskp20
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp9
          | hskp11
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) ) )
        & ( hskp0
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp21
          | hskp17
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp18
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp12
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp21
          | hskp30
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp21
          | hskp20
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp1
          | hskp18
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp2
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp9
          | hskp17
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp19
          | hskp18
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp14
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp2
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp6
          | hskp18
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp17
          | hskp7
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp16
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp5
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp1
          | hskp30
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp16
          | hskp7
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp1
          | hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp14
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp13
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp12
          | hskp5
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp11
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp10
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp9
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp29
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp0
          | hskp29
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp8
          | hskp7
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp6
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c3_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp28
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp5
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp5
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | c3_1(X6)
                | c2_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp4
          | hskp3
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp2
          | hskp1
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c0_1(X1)
                | c3_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a529)
            & c1_1(a529)
            & c0_1(a529)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a488)
            & c2_1(a488)
            & c1_1(a488)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a474)
            & c1_1(a474)
            & c0_1(a474)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a469)
            & c2_1(a469)
            & c0_1(a469)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a576)
            & ~ c2_1(a576)
            & ~ c1_1(a576)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a559)
            & c1_1(a559)
            & c0_1(a559)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a525)
            & c1_1(a525)
            & c0_1(a525)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a521)
            & ~ c2_1(a521)
            & ~ c0_1(a521)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a519)
            & ~ c0_1(a519)
            & c1_1(a519)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a507)
            & ~ c0_1(a507)
            & c2_1(a507)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a506)
            & c2_1(a506)
            & c1_1(a506)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a500)
            & ~ c2_1(a500)
            & c1_1(a500)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a494)
            & ~ c2_1(a494)
            & c0_1(a494)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a493)
            & c3_1(a493)
            & c2_1(a493)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a487)
            & ~ c1_1(a487)
            & c0_1(a487)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a484)
            & c2_1(a484)
            & c0_1(a484)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a483)
            & c2_1(a483)
            & c1_1(a483)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a482)
            & ~ c1_1(a482)
            & c3_1(a482)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a481)
            & ~ c0_1(a481)
            & c1_1(a481)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a479)
            & c3_1(a479)
            & c0_1(a479)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a478)
            & ~ c0_1(a478)
            & c2_1(a478)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a477)
            & c3_1(a477)
            & c2_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a472)
            & c3_1(a472)
            & c1_1(a472)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a471)
            & c3_1(a471)
            & c0_1(a471)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a470)
            & ~ c1_1(a470)
            & ~ c0_1(a470)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a467)
            & ~ c1_1(a467)
            & c0_1(a467)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a466)
            & ~ c1_1(a466)
            & ~ c0_1(a466)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a465)
            & ~ c0_1(a465)
            & c3_1(a465)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a464)
            & ~ c0_1(a464)
            & c3_1(a464)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a463)
            & ~ c1_1(a463)
            & c2_1(a463)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a462)
            & c2_1(a462)
            & c0_1(a462)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp13
          | hskp1
          | hskp22 )
        & ( hskp23
          | hskp3
          | hskp5 )
        & ( hskp27
          | hskp8
          | hskp7 )
        & ( hskp9
          | hskp12
          | hskp11 )
        & ( hskp25
          | hskp14
          | hskp0 )
        & ( hskp10
          | hskp30
          | hskp0 )
        & ( hskp23
          | hskp2
          | hskp26 )
        & ( hskp13
          | hskp16
          | hskp26 )
        & ( hskp10
          | hskp19
          | hskp31 )
        & ( hskp3
          | hskp12
          | hskp29 )
        & ( hskp9
          | hskp15
          | hskp29 )
        & ( hskp17
          | hskp8
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp3
          | hskp25
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp25
          | hskp14
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp10
          | hskp24
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp4
          | hskp6
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp13
          | hskp8
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp10
          | hskp14
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp4
          | hskp18
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp31
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( hskp17
          | hskp18
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp7
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp31
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) ) )
        & ( hskp12
          | hskp30
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c3_1(X15) ) ) )
        & ( hskp8
          | hskp24
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c0_1(X19)
                | c3_1(X19) ) ) )
        & ( hskp17
          | hskp5
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp29
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) ) )
        & ( hskp23
          | hskp9
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) ) )
        & ( hskp22
          | hskp20
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) ) )
        & ( hskp9
          | hskp11
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) ) )
        & ( hskp6
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) ) )
        & ( hskp0
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c2_1(X31) ) ) )
        & ( hskp21
          | hskp17
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp18
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c1_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp12
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp21
          | hskp30
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp21
          | hskp20
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp1
          | hskp18
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp2
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp9
          | hskp17
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp19
          | hskp18
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp14
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp2
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp16
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp6
          | hskp18
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | hskp7
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp16
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | ~ c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp5
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp1
          | hskp30
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp16
          | hskp7
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp1
          | hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp14
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp13
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c3_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp12
          | hskp5
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp11
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | ~ c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp10
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp9
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp29
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp0
          | hskp29
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp6
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp8
          | hskp7
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp28
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | ~ c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp5
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c3_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c2_1(X100)
                | c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c1_1(X106)
                | c0_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp5
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c2_1(X108)
                | c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c2_1(X111)
                | c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp4
          | hskp3
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp2
          | hskp1
          | ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp0
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( ( c3_1(a529)
            & c1_1(a529)
            & c0_1(a529)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a488)
            & c2_1(a488)
            & c1_1(a488)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a474)
            & c1_1(a474)
            & c0_1(a474)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a469)
            & c2_1(a469)
            & c0_1(a469)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a576)
            & ~ c2_1(a576)
            & ~ c1_1(a576)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a559)
            & c1_1(a559)
            & c0_1(a559)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a525)
            & c1_1(a525)
            & c0_1(a525)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a521)
            & ~ c2_1(a521)
            & ~ c0_1(a521)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a519)
            & ~ c0_1(a519)
            & c1_1(a519)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a507)
            & ~ c0_1(a507)
            & c2_1(a507)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a506)
            & c2_1(a506)
            & c1_1(a506)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a500)
            & ~ c2_1(a500)
            & c1_1(a500)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a494)
            & ~ c2_1(a494)
            & c0_1(a494)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a493)
            & c3_1(a493)
            & c2_1(a493)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a487)
            & ~ c1_1(a487)
            & c0_1(a487)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a484)
            & c2_1(a484)
            & c0_1(a484)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a483)
            & c2_1(a483)
            & c1_1(a483)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a482)
            & ~ c1_1(a482)
            & c3_1(a482)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a481)
            & ~ c0_1(a481)
            & c1_1(a481)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a479)
            & c3_1(a479)
            & c0_1(a479)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a478)
            & ~ c0_1(a478)
            & c2_1(a478)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a477)
            & c3_1(a477)
            & c2_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a472)
            & c3_1(a472)
            & c1_1(a472)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a471)
            & c3_1(a471)
            & c0_1(a471)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a470)
            & ~ c1_1(a470)
            & ~ c0_1(a470)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a467)
            & ~ c1_1(a467)
            & c0_1(a467)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a466)
            & ~ c1_1(a466)
            & ~ c0_1(a466)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a465)
            & ~ c0_1(a465)
            & c3_1(a465)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a464)
            & ~ c0_1(a464)
            & c3_1(a464)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a463)
            & ~ c1_1(a463)
            & c2_1(a463)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a462)
            & c2_1(a462)
            & c0_1(a462)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( hskp31
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp7
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp31
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c3_1(X15) ) ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c3_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | ~ c1_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | ~ c0_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c0_1(X19)
            | c3_1(X19) ) ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp29
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c1_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | c3_1(X24)
            | c2_1(X24) ) ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) ) )
    & ( hskp6
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | ~ c0_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c2_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) ) )
    & ( hskp0
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c3_1(X30)
            | c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c2_1(X31) ) ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp18
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c1_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp12
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c0_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c3_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp2
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | ~ c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c3_1(X41)
            | c1_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c3_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp14
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | c3_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp2
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp16
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c3_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | ~ c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c0_1(X57) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | ~ c0_1(X58)
            | c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp16
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c2_1(X61)
            | ~ c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp5
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp14
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | c3_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp13
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | ~ c0_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c3_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c3_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp11
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | ~ c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp10
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c1_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp9
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c2_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp29
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c2_1(X84)
            | c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp6
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c3_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp6
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c1_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c3_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp28
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c2_1(X95)
            | ~ c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp5
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c3_1(X97)
            | c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | c3_1(X99)
            | c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | c2_1(X100)
            | c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | c3_1(X102)
            | c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c0_1(X105)
            | c1_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c1_1(X106)
            | c0_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp5
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | c2_1(X108)
            | c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c1_1(X110)
            | c3_1(X110)
            | c2_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | c2_1(X111)
            | c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp0
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | ~ c0_1(X115)
            | c3_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X30] :
          ( ~ c1_1(X30)
          | c3_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c0_1(X82)
          | c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X84] :
          ( ~ c0_1(X84)
          | c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c1_1(X87)
          | c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c0_1(X99)
          | c3_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X108] :
          ( ~ c1_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | c3_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c2_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X30] :
          ( ~ c1_1(X30)
          | c3_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c0_1(X82)
          | c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X84] :
          ( ~ c0_1(X84)
          | c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c1_1(X87)
          | c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c0_1(X99)
          | c3_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X108] :
          ( ~ c1_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | c3_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c2_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c0_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c2_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c1_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c2_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c3_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c3_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c0_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c2_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c3_1(a465)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( ~ c0_1(a465)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c1_1(a465)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c0_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c1_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c3_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( ~ c0_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( ~ c1_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c2_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c0_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( c3_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c2_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f47,plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c2_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( ~ c0_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c3_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c1_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( ~ c0_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c3_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c1_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( c2_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c0_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( c0_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( ~ c1_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f74,plain,
    ( ~ c2_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c2_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( c3_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c0_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f80,plain,
    ( c0_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f81,plain,
    ( ~ c2_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f82,plain,
    ( ~ c3_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c1_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( ~ c2_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c3_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c0_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( c1_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c2_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f108,plain,
    ( c1_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f109,plain,
    ( c3_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f110,plain,
    ( ~ c0_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f124,plain,
    ( c0_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f125,plain,
    ( c1_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f126,plain,
    ( c2_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f127,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f128,plain,
    ( c1_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f129,plain,
    ( c2_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f130,plain,
    ( c3_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f132,plain,
    ( c0_1(a529)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f133,plain,
    ( c1_1(a529)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f134,plain,
    ( c3_1(a529)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f136,plain,
    ! [X114] :
      ( hskp2
      | hskp1
      | c2_1(X114)
      | c1_1(X114)
      | c0_1(X114)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f154,plain,
    ! [X77] :
      ( hskp12
      | hskp5
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f159,plain,
    ! [X68] :
      ( hskp16
      | hskp7
      | ~ c2_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f161,plain,
    ! [X65] :
      ( hskp1
      | hskp30
      | ~ c2_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f167,plain,
    ! [X53] :
      ( hskp6
      | hskp18
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f171,plain,
    ! [X46] :
      ( hskp19
      | hskp18
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f175,plain,
    ! [X39] :
      ( hskp1
      | hskp18
      | ~ c0_1(X39)
      | c3_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f191,plain,
    ! [X15] :
      ( hskp12
      | hskp30
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | c3_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f194,plain,
    ! [X10] :
      ( hskp17
      | hskp18
      | ~ c2_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f197,plain,
    ! [X6] :
      ( hskp10
      | hskp14
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f200,plain,
    ! [X3] :
      ( hskp10
      | hskp24
      | ~ c3_1(X3)
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f201,plain,
    ! [X2] :
      ( hskp25
      | hskp14
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f205,plain,
    ( hskp3
    | hskp12
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f206,plain,
    ( hskp10
    | hskp19
    | hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f209,plain,
    ( hskp10
    | hskp30
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f210,plain,
    ( hskp25
    | hskp14
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_53,negated_conjecture,
    ( hskp25
    | hskp14
    | hskp0 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_54,negated_conjecture,
    ( hskp0
    | hskp10
    | hskp30 ),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_57,negated_conjecture,
    ( hskp10
    | hskp19
    | hskp31 ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_58,negated_conjecture,
    ( hskp3
    | hskp12
    | hskp29 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_62,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp25
    | hskp14 ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_63,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp10
    | hskp24 ),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_66,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp14
    | hskp10 ),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_69,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp17
    | hskp18 ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_70,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_72,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp12
    | hskp30 ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_74,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2) ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_76,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | hskp29 ),
    inference(cnf_transformation,[],[f219]) ).

cnf(c_81,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1) ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_85,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | hskp12 ),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_88,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp1
    | hskp18 ),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_92,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp18 ),
    inference(cnf_transformation,[],[f171]) ).

cnf(c_94,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_96,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp6
    | hskp18 ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_98,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_99,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_100,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | hskp16 ),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_101,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp5 ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_102,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp1
    | hskp30 ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_103,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_104,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp16 ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_106,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp14 ),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_108,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_109,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X0)
    | hskp5
    | hskp12 ),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_110,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp11 ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_113,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp29 ),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_118,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f244]) ).

cnf(c_121,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f247]) ).

cnf(c_122,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f248]) ).

cnf(c_123,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f249]) ).

cnf(c_127,negated_conjecture,
    ( ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp1
    | hskp2 ),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_128,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f252]) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp31
    | c3_1(a529) ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp31
    | c1_1(a529) ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp31
    | c0_1(a529) ),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp30
    | c3_1(a488) ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp30
    | c2_1(a488) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp30
    | c1_1(a488) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_136,negated_conjecture,
    ( ~ hskp30
    | ndr1_0 ),
    inference(cnf_transformation,[],[f127]) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp29
    | c2_1(a474) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp29
    | c1_1(a474) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp29
    | c0_1(a474) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_153,negated_conjecture,
    ( ~ c0_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_154,negated_conjecture,
    ( ~ hskp25
    | c3_1(a545) ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp25
    | c1_1(a545) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_157,negated_conjecture,
    ( ~ c2_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_158,negated_conjecture,
    ( ~ hskp24
    | c1_1(a525) ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp24
    | c0_1(a525) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_177,negated_conjecture,
    ( ~ c3_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_178,negated_conjecture,
    ( ~ c2_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp19
    | c1_1(a500) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_181,negated_conjecture,
    ( ~ c3_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_182,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp18
    | c0_1(a494) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_185,negated_conjecture,
    ( ~ c0_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_186,negated_conjecture,
    ( ~ hskp17
    | c3_1(a493) ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp17
    | c2_1(a493) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_189,negated_conjecture,
    ( ~ c2_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_190,negated_conjecture,
    ( ~ c1_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp16
    | c0_1(a487) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_197,negated_conjecture,
    ( ~ c0_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_198,negated_conjecture,
    ( ~ hskp14
    | c2_1(a483) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp14
    | c1_1(a483) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_205,negated_conjecture,
    ( ~ c3_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_206,negated_conjecture,
    ( ~ c0_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp12
    | c1_1(a481) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_213,negated_conjecture,
    ( ~ c3_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_214,negated_conjecture,
    ( ~ c0_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp10
    | c2_1(a478) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_216,negated_conjecture,
    ( ~ hskp10
    | ndr1_0 ),
    inference(cnf_transformation,[],[f47]) ).

cnf(c_225,negated_conjecture,
    ( ~ c2_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_226,negated_conjecture,
    ( ~ hskp7
    | c3_1(a471) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp7
    | c0_1(a471) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_229,negated_conjecture,
    ( ~ c2_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_230,negated_conjecture,
    ( ~ c1_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_231,negated_conjecture,
    ( ~ c0_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_233,negated_conjecture,
    ( ~ c3_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_234,negated_conjecture,
    ( ~ c1_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_235,negated_conjecture,
    ( ~ hskp5
    | c0_1(a467) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_241,negated_conjecture,
    ( ~ c1_1(a465)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_242,negated_conjecture,
    ( ~ c0_1(a465)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp3
    | c3_1(a465) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_245,negated_conjecture,
    ( ~ c2_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_246,negated_conjecture,
    ( ~ c0_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_247,negated_conjecture,
    ( ~ hskp2
    | c3_1(a464) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_249,negated_conjecture,
    ( ~ c3_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_250,negated_conjecture,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_251,negated_conjecture,
    ( ~ hskp1
    | c2_1(a463) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_253,negated_conjecture,
    ( ~ c1_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_254,negated_conjecture,
    ( ~ hskp0
    | c2_1(a462) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_255,negated_conjecture,
    ( ~ hskp0
    | c0_1(a462) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_256,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_285,plain,
    ( ~ c3_1(a462)
    | ~ c2_1(a462)
    | ~ c0_1(a462)
    | ~ ndr1_0
    | hskp25
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_295,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_256,c_256,c_216,c_136,c_54]) ).

cnf(c_359,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp1
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_127,c_256,c_216,c_136,c_54,c_127]) ).

cnf(c_371,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp5
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_256,c_216,c_136,c_54,c_109]) ).

cnf(c_377,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_104,c_256,c_216,c_136,c_54,c_104]) ).

cnf(c_380,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_256,c_216,c_136,c_54,c_92]) ).

cnf(c_386,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp1
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_256,c_216,c_136,c_54,c_88]) ).

cnf(c_404,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp1
    | hskp30 ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_256,c_216,c_136,c_54,c_102]) ).

cnf(c_405,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp1
    | hskp30 ),
    inference(renaming,[status(thm)],[c_404]) ).

cnf(c_410,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp6
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_256,c_216,c_136,c_54,c_96]) ).

cnf(c_411,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp6
    | hskp18 ),
    inference(renaming,[status(thm)],[c_410]) ).

cnf(c_422,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp12
    | hskp30 ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_256,c_216,c_136,c_54,c_72]) ).

cnf(c_423,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp12
    | hskp30 ),
    inference(renaming,[status(thm)],[c_422]) ).

cnf(c_425,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp17
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_256,c_216,c_136,c_54,c_69]) ).

cnf(c_426,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp17
    | hskp18 ),
    inference(renaming,[status(thm)],[c_425]) ).

cnf(c_431,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | hskp14
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_256,c_216,c_136,c_54,c_66]) ).

cnf(c_432,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp14
    | hskp10 ),
    inference(renaming,[status(thm)],[c_431]) ).

cnf(c_440,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp10
    | hskp24 ),
    inference(global_subsumption_just,[status(thm)],[c_63,c_256,c_216,c_136,c_54,c_63]) ).

cnf(c_441,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | hskp10
    | hskp24 ),
    inference(renaming,[status(thm)],[c_440]) ).

cnf(c_443,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp25
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_256,c_216,c_136,c_54,c_62]) ).

cnf(c_444,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | hskp25
    | hskp14 ),
    inference(renaming,[status(thm)],[c_443]) ).

cnf(c_459,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_128,c_256,c_216,c_136,c_54,c_128]) ).

cnf(c_460,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_459]) ).

cnf(c_466,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_113,c_256,c_216,c_136,c_54,c_113]) ).

cnf(c_467,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp29 ),
    inference(renaming,[status(thm)],[c_466]) ).

cnf(c_470,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_256,c_216,c_136,c_54,c_103]) ).

cnf(c_471,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0) ),
    inference(renaming,[status(thm)],[c_470]) ).

cnf(c_472,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_256,c_216,c_136,c_54,c_94]) ).

cnf(c_473,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_472]) ).

cnf(c_484,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_256,c_216,c_136,c_54,c_106]) ).

cnf(c_485,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp14 ),
    inference(renaming,[status(thm)],[c_484]) ).

cnf(c_486,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_256,c_216,c_136,c_54,c_101]) ).

cnf(c_487,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_486]) ).

cnf(c_488,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_256,c_216,c_136,c_54,c_81]) ).

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

cnf(c_492,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_110,c_256,c_216,c_136,c_54,c_110]) ).

cnf(c_493,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_492]) ).

cnf(c_494,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_256,c_216,c_136,c_54,c_89]) ).

cnf(c_495,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_494]) ).

cnf(c_496,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_256,c_216,c_136,c_54,c_85]) ).

cnf(c_497,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_496]) ).

cnf(c_500,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_256,c_216,c_136,c_54,c_76]) ).

cnf(c_501,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | hskp29 ),
    inference(renaming,[status(thm)],[c_500]) ).

cnf(c_502,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_256,c_216,c_136,c_54,c_100]) ).

cnf(c_503,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c0_1(X1)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_502]) ).

cnf(c_509,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_256,c_216,c_136,c_54,c_70]) ).

cnf(c_510,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_509]) ).

cnf(c_516,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_256,c_216,c_136,c_54,c_118]) ).

cnf(c_517,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_516]) ).

cnf(c_519,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_256,c_216,c_136,c_54,c_121]) ).

cnf(c_520,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_519]) ).

cnf(c_521,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_123,c_256,c_216,c_136,c_54,c_123]) ).

cnf(c_522,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_521]) ).

cnf(c_523,plain,
    ( ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_122,c_256,c_216,c_136,c_54,c_122]) ).

cnf(c_524,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_523]) ).

cnf(c_525,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_108,c_108,c_295]) ).

cnf(c_526,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_525]) ).

cnf(c_527,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_256,c_216,c_136,c_54,c_99]) ).

cnf(c_528,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0) ),
    inference(renaming,[status(thm)],[c_527]) ).

cnf(c_531,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_256,c_216,c_136,c_54,c_98]) ).

cnf(c_532,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_531]) ).

cnf(c_533,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_256,c_216,c_136,c_54,c_74]) ).

cnf(c_534,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_533]) ).

cnf(c_2894,plain,
    ( c1_1(a545)
    | hskp14
    | hskp0 ),
    inference(resolution,[status(thm)],[c_53,c_155]) ).

cnf(c_2904,plain,
    ( c3_1(a545)
    | hskp14
    | hskp0 ),
    inference(resolution,[status(thm)],[c_53,c_154]) ).

cnf(c_2914,plain,
    ( ~ c0_1(a545)
    | hskp14
    | hskp0 ),
    inference(resolution,[status(thm)],[c_53,c_153]) ).

cnf(c_3653,plain,
    ( c3_1(a465)
    | hskp12
    | hskp29 ),
    inference(resolution,[status(thm)],[c_58,c_243]) ).

cnf(c_3663,plain,
    ( ~ c0_1(a465)
    | hskp12
    | hskp29 ),
    inference(resolution,[status(thm)],[c_58,c_242]) ).

cnf(c_3673,plain,
    ( ~ c1_1(a465)
    | hskp12
    | hskp29 ),
    inference(resolution,[status(thm)],[c_58,c_241]) ).

cnf(c_3896,plain,
    ( c0_1(a529)
    | hskp10
    | hskp19 ),
    inference(resolution,[status(thm)],[c_57,c_131]) ).

cnf(c_3906,plain,
    ( c1_1(a529)
    | hskp10
    | hskp19 ),
    inference(resolution,[status(thm)],[c_57,c_130]) ).

cnf(c_3916,plain,
    ( c3_1(a529)
    | hskp10
    | hskp19 ),
    inference(resolution,[status(thm)],[c_57,c_129]) ).

cnf(c_5810,plain,
    ( c2_1(a478)
    | hskp0
    | hskp30 ),
    inference(resolution,[status(thm)],[c_54,c_215]) ).

cnf(c_5820,plain,
    ( ~ c0_1(a478)
    | hskp0
    | hskp30 ),
    inference(resolution,[status(thm)],[c_54,c_214]) ).

cnf(c_5830,plain,
    ( ~ c3_1(a478)
    | hskp0
    | hskp30 ),
    inference(resolution,[status(thm)],[c_54,c_213]) ).

cnf(c_6091,plain,
    ( c0_1(a462)
    | hskp10
    | hskp30 ),
    inference(resolution,[status(thm)],[c_54,c_255]) ).

cnf(c_6101,plain,
    ( c2_1(a462)
    | hskp10
    | hskp30 ),
    inference(resolution,[status(thm)],[c_54,c_254]) ).

cnf(c_6111,plain,
    ( ~ c1_1(a462)
    | hskp10
    | hskp30 ),
    inference(resolution,[status(thm)],[c_54,c_253]) ).

cnf(c_6121,plain,
    ( c0_1(a462)
    | hskp25
    | hskp14 ),
    inference(resolution,[status(thm)],[c_53,c_255]) ).

cnf(c_6131,plain,
    ( c2_1(a462)
    | hskp25
    | hskp14 ),
    inference(resolution,[status(thm)],[c_53,c_254]) ).

cnf(c_18573,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_534]) ).

cnf(c_18574,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_534]) ).

cnf(c_18575,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_534]) ).

cnf(c_18577,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_532]) ).

cnf(c_18578,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_532]) ).

cnf(c_18579,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_532]) ).

cnf(c_18580,negated_conjecture,
    ( sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_532]) ).

cnf(c_18585,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_528]) ).

cnf(c_18587,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_526]) ).

cnf(c_18588,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_526]) ).

cnf(c_18589,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_526]) ).

cnf(c_18590,negated_conjecture,
    ( sP10_iProver_split
    | sP11_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_526]) ).

cnf(c_18591,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_524]) ).

cnf(c_18593,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_524]) ).

cnf(c_18595,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_522]) ).

cnf(c_18598,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_520]) ).

cnf(c_18601,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_517]) ).

cnf(c_18602,negated_conjecture,
    ( sP11_iProver_split
    | sP18_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_517]) ).

cnf(c_18605,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_510]) ).

cnf(c_18606,negated_conjecture,
    ( hskp7
    | sP2_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_510]) ).

cnf(c_18609,negated_conjecture,
    ( hskp16
    | sP2_iProver_split
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_503]) ).

cnf(c_18610,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_501]) ).

cnf(c_18611,negated_conjecture,
    ( hskp29
    | sP10_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_501]) ).

cnf(c_18613,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_497]) ).

cnf(c_18614,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_497]) ).

cnf(c_18615,negated_conjecture,
    ( hskp12
    | sP23_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_497]) ).

cnf(c_18616,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_495]) ).

cnf(c_18618,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_split])],[c_493]) ).

cnf(c_18621,negated_conjecture,
    ( sP3_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).

cnf(c_18622,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_487]) ).

cnf(c_18624,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_485]) ).

cnf(c_18625,negated_conjecture,
    ( hskp14
    | sP16_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_485]) ).

cnf(c_18631,negated_conjecture,
    ( hskp2
    | sP9_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

cnf(c_18632,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP30_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_split])],[c_471]) ).

cnf(c_18633,negated_conjecture,
    ( sP27_iProver_split
    | sP30_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

cnf(c_18635,negated_conjecture,
    ( hskp29
    | sP26_iProver_split
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

cnf(c_18638,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP31_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP31_iProver_split])],[c_460]) ).

cnf(c_18645,negated_conjecture,
    ( hskp25
    | hskp14
    | sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

cnf(c_18646,negated_conjecture,
    ( hskp10
    | hskp24
    | sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

cnf(c_18649,negated_conjecture,
    ( hskp14
    | hskp10
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

cnf(c_18651,negated_conjecture,
    ( hskp17
    | hskp18
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

cnf(c_18652,negated_conjecture,
    ( hskp12
    | hskp30
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).

cnf(c_18656,negated_conjecture,
    ( hskp6
    | hskp18
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

cnf(c_18658,negated_conjecture,
    ( hskp1
    | hskp30
    | sP30_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

cnf(c_18664,negated_conjecture,
    ( hskp1
    | hskp18
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

cnf(c_18666,negated_conjecture,
    ( hskp19
    | hskp18
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_380]) ).

cnf(c_18667,negated_conjecture,
    ( hskp7
    | hskp16
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

cnf(c_18669,negated_conjecture,
    ( hskp5
    | hskp12
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

cnf(c_18673,negated_conjecture,
    ( hskp1
    | hskp2
    | sP31_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_359]) ).

cnf(c_18681,plain,
    ( ~ c2_1(a462)
    | ~ sP12_iProver_split
    | c3_1(a462)
    | c1_1(a462) ),
    inference(instantiation,[status(thm)],[c_18589]) ).

cnf(c_18696,plain,
    ( ~ c2_1(a462)
    | ~ c0_1(a462)
    | ~ sP21_iProver_split
    | c3_1(a462) ),
    inference(instantiation,[status(thm)],[c_18605]) ).

cnf(c_18698,plain,
    ( ~ c2_1(a462)
    | ~ c0_1(a462)
    | ~ sP23_iProver_split
    | c1_1(a462) ),
    inference(instantiation,[status(thm)],[c_18613]) ).

cnf(c_18702,plain,
    ( ~ c3_1(a462)
    | ~ c2_1(a462)
    | ~ c0_1(a462)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_18573]) ).

cnf(c_18710,plain,
    ( ~ c2_1(a529)
    | ~ c1_1(a529)
    | ~ c0_1(a529)
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_18577]) ).

cnf(c_18711,plain,
    ( ~ c2_1(a474)
    | ~ c1_1(a474)
    | ~ c0_1(a474)
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_18577]) ).

cnf(c_18729,plain,
    ( ~ c1_1(a483)
    | ~ sP11_iProver_split
    | c3_1(a483)
    | c0_1(a483) ),
    inference(instantiation,[status(thm)],[c_18588]) ).

cnf(c_18730,plain,
    ( ~ c1_1(a481)
    | ~ sP11_iProver_split
    | c3_1(a481)
    | c0_1(a481) ),
    inference(instantiation,[status(thm)],[c_18588]) ).

cnf(c_18732,plain,
    ( ~ c0_1(a487)
    | ~ sP13_iProver_split
    | c3_1(a487)
    | c2_1(a487) ),
    inference(instantiation,[status(thm)],[c_18591]) ).

cnf(c_18738,plain,
    ( ~ c0_1(a487)
    | ~ sP27_iProver_split
    | c2_1(a487)
    | c1_1(a487) ),
    inference(instantiation,[status(thm)],[c_18622]) ).

cnf(c_18740,plain,
    ( ~ c0_1(a471)
    | ~ sP27_iProver_split
    | c2_1(a471)
    | c1_1(a471) ),
    inference(instantiation,[status(thm)],[c_18622]) ).

cnf(c_18745,plain,
    ( ~ c0_1(a494)
    | ~ sP27_iProver_split
    | c2_1(a494)
    | c1_1(a494) ),
    inference(instantiation,[status(thm)],[c_18622]) ).

cnf(c_18746,plain,
    ( ~ c0_1(a494)
    | ~ sP13_iProver_split
    | c3_1(a494)
    | c2_1(a494) ),
    inference(instantiation,[status(thm)],[c_18591]) ).

cnf(c_18749,plain,
    ( ~ c3_1(a493)
    | ~ c2_1(a493)
    | ~ sP4_iProver_split
    | c0_1(a493) ),
    inference(instantiation,[status(thm)],[c_18578]) ).

cnf(c_18761,plain,
    ( ~ c1_1(a525)
    | ~ c0_1(a525)
    | ~ sP1_iProver_split
    | c3_1(a525) ),
    inference(instantiation,[status(thm)],[c_18574]) ).

cnf(c_18762,plain,
    ( ~ c3_1(a529)
    | ~ c2_1(a529)
    | ~ c0_1(a529)
    | ~ sP0_iProver_split ),
    inference(instantiation,[status(thm)],[c_18573]) ).

cnf(c_18780,plain,
    ( ~ c1_1(a481)
    | ~ sP18_iProver_split
    | c2_1(a481)
    | c0_1(a481) ),
    inference(instantiation,[status(thm)],[c_18598]) ).

cnf(c_18793,plain,
    ( ~ c3_1(a483)
    | ~ c1_1(a483)
    | ~ sP16_iProver_split
    | c0_1(a483) ),
    inference(instantiation,[status(thm)],[c_18595]) ).

cnf(c_18804,plain,
    ( ~ sP9_iProver_split
    | c3_1(a487)
    | c2_1(a487)
    | c1_1(a487) ),
    inference(instantiation,[status(thm)],[c_18585]) ).

cnf(c_18816,plain,
    ( ~ c2_1(a483)
    | ~ c1_1(a483)
    | ~ sP30_iProver_split
    | c0_1(a483) ),
    inference(instantiation,[status(thm)],[c_18632]) ).

cnf(c_18817,plain,
    ( ~ c2_1(a481)
    | ~ c1_1(a481)
    | ~ sP30_iProver_split
    | c0_1(a481) ),
    inference(instantiation,[status(thm)],[c_18632]) ).

cnf(c_18837,plain,
    ( ~ c3_1(a483)
    | ~ c2_1(a483)
    | ~ c1_1(a483)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18575]) ).

cnf(c_18863,plain,
    ( ~ c3_1(a545)
    | ~ c1_1(a545)
    | ~ sP16_iProver_split
    | c0_1(a545) ),
    inference(instantiation,[status(thm)],[c_18595]) ).

cnf(c_18881,plain,
    ( ~ sP20_iProver_split
    | c3_1(a500)
    | c2_1(a500)
    | c0_1(a500) ),
    inference(instantiation,[status(thm)],[c_18601]) ).

cnf(c_18882,plain,
    ( ~ sP20_iProver_split
    | c3_1(a481)
    | c2_1(a481)
    | c0_1(a481) ),
    inference(instantiation,[status(thm)],[c_18601]) ).

cnf(c_18893,plain,
    ( ~ c2_1(a463)
    | ~ c0_1(a463)
    | ~ sP21_iProver_split
    | c3_1(a463) ),
    inference(instantiation,[status(thm)],[c_18605]) ).

cnf(c_18898,plain,
    ( ~ c2_1(a483)
    | ~ c1_1(a483)
    | ~ sP22_iProver_split
    | c3_1(a483) ),
    inference(instantiation,[status(thm)],[c_18610]) ).

cnf(c_18907,plain,
    ( ~ c0_1(a467)
    | ~ sP25_iProver_split
    | c3_1(a467)
    | c1_1(a467) ),
    inference(instantiation,[status(thm)],[c_18616]) ).

cnf(c_18915,plain,
    ( ~ c3_1(a465)
    | ~ sP26_iProver_split
    | c2_1(a465)
    | c0_1(a465) ),
    inference(instantiation,[status(thm)],[c_18618]) ).

cnf(c_18932,plain,
    ( ~ c2_1(a463)
    | ~ sP12_iProver_split
    | c3_1(a463)
    | c1_1(a463) ),
    inference(instantiation,[status(thm)],[c_18589]) ).

cnf(c_18940,plain,
    ( ~ c3_1(a488)
    | ~ c2_1(a488)
    | ~ c1_1(a488)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18575]) ).

cnf(c_18946,plain,
    ( ~ c2_1(a488)
    | ~ c1_1(a488)
    | ~ c0_1(a488)
    | ~ sP3_iProver_split ),
    inference(instantiation,[status(thm)],[c_18577]) ).

cnf(c_18967,plain,
    ( ~ c3_1(a525)
    | ~ c0_1(a525)
    | ~ sP24_iProver_split
    | c2_1(a525) ),
    inference(instantiation,[status(thm)],[c_18614]) ).

cnf(c_18971,plain,
    ( ~ c3_1(a487)
    | ~ c0_1(a487)
    | ~ sP24_iProver_split
    | c2_1(a487) ),
    inference(instantiation,[status(thm)],[c_18614]) ).

cnf(c_18972,plain,
    ( ~ c3_1(a471)
    | ~ c0_1(a471)
    | ~ sP24_iProver_split
    | c2_1(a471) ),
    inference(instantiation,[status(thm)],[c_18614]) ).

cnf(c_18976,plain,
    ( ~ c3_1(a529)
    | ~ c0_1(a529)
    | ~ sP24_iProver_split
    | c2_1(a529) ),
    inference(instantiation,[status(thm)],[c_18614]) ).

cnf(c_18993,plain,
    ( ~ c1_1(a500)
    | ~ c0_1(a500)
    | ~ sP1_iProver_split
    | c3_1(a500) ),
    inference(instantiation,[status(thm)],[c_18574]) ).

cnf(c_19000,plain,
    ( ~ c1_1(a500)
    | ~ sP11_iProver_split
    | c3_1(a500)
    | c0_1(a500) ),
    inference(instantiation,[status(thm)],[c_18588]) ).

cnf(c_19002,plain,
    ( ~ c2_1(a488)
    | ~ c1_1(a488)
    | ~ sP30_iProver_split
    | c0_1(a488) ),
    inference(instantiation,[status(thm)],[c_18632]) ).

cnf(c_19008,plain,
    ( ~ c3_1(a464)
    | ~ sP26_iProver_split
    | c2_1(a464)
    | c0_1(a464) ),
    inference(instantiation,[status(thm)],[c_18618]) ).

cnf(c_19020,plain,
    ( ~ c1_1(a500)
    | ~ sP18_iProver_split
    | c2_1(a500)
    | c0_1(a500) ),
    inference(instantiation,[status(thm)],[c_18598]) ).

cnf(c_19038,plain,
    ( ~ c2_1(a481)
    | ~ sP28_iProver_split
    | c3_1(a481)
    | c0_1(a481) ),
    inference(instantiation,[status(thm)],[c_18624]) ).

cnf(c_19040,plain,
    ( ~ c2_1(a463)
    | ~ sP28_iProver_split
    | c3_1(a463)
    | c0_1(a463) ),
    inference(instantiation,[status(thm)],[c_18624]) ).

cnf(c_19122,plain,
    ( ~ c3_1(a471)
    | ~ c1_1(a471)
    | ~ c0_1(a471)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_18579]) ).

cnf(c_19149,plain,
    ( ~ c2_1(a478)
    | ~ sP28_iProver_split
    | c3_1(a478)
    | c0_1(a478) ),
    inference(instantiation,[status(thm)],[c_18624]) ).

cnf(c_19156,plain,
    ( ~ sP31_iProver_split
    | c2_1(a470)
    | c1_1(a470)
    | c0_1(a470) ),
    inference(instantiation,[status(thm)],[c_18638]) ).

cnf(c_19455,plain,
    ( ~ c3_1(a465)
    | ~ c2_1(a465)
    | ~ sP15_iProver_split
    | c1_1(a465) ),
    inference(instantiation,[status(thm)],[c_18593]) ).

cnf(c_19637,plain,
    ( ~ c1_1(a494)
    | ~ c0_1(a494)
    | ~ sP10_iProver_split
    | c2_1(a494) ),
    inference(instantiation,[status(thm)],[c_18587]) ).

cnf(c_19650,plain,
    ( ~ c1_1(a471)
    | ~ c0_1(a471)
    | ~ sP10_iProver_split
    | c2_1(a471) ),
    inference(instantiation,[status(thm)],[c_18587]) ).

cnf(c_19781,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_19650,c_19637,c_19455,c_19156,c_19149,c_19122,c_19040,c_19038,c_19020,c_19008,c_19002,c_19000,c_18993,c_18976,c_18972,c_18971,c_18967,c_18946,c_18940,c_18932,c_18915,c_18907,c_18898,c_18893,c_18882,c_18881,c_18863,c_18837,c_18817,c_18816,c_18804,c_18793,c_18780,c_18762,c_18761,c_18749,c_18745,c_18746,c_18740,c_18738,c_18732,c_18730,c_18729,c_18711,c_18710,c_18702,c_18698,c_18696,c_18681,c_18673,c_18669,c_18667,c_18666,c_18664,c_18658,c_18656,c_18652,c_18651,c_18649,c_18646,c_18645,c_18635,c_18631,c_18625,c_18615,c_18611,c_18609,c_18606,c_18602,c_18590,c_18580,c_18633,c_18621,c_6131,c_6121,c_6111,c_6101,c_6091,c_5830,c_5820,c_5810,c_3916,c_3906,c_3896,c_3673,c_3663,c_3653,c_2914,c_2904,c_2894,c_295,c_285,c_153,c_157,c_177,c_178,c_181,c_182,c_185,c_189,c_190,c_197,c_205,c_206,c_213,c_214,c_225,c_229,c_230,c_231,c_233,c_234,c_245,c_246,c_249,c_250,c_253,c_133,c_134,c_135,c_137,c_138,c_139,c_154,c_155,c_158,c_159,c_179,c_183,c_186,c_187,c_191,c_198,c_199,c_207,c_215,c_226,c_227,c_235,c_247,c_251,c_254,c_255]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15  % Problem  : SYN505+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.16  % Command  : run_iprover %s %d THM
% 0.13/0.36  % Computer : n022.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.19/0.36  % WCLimit  : 300
% 0.19/0.36  % DateTime : Sat Aug 26 17:26:10 EDT 2023
% 0.19/0.37  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.59/1.18  % SZS status Started for theBenchmark.p
% 2.59/1.18  % SZS status Theorem for theBenchmark.p
% 2.59/1.18  
% 2.59/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.59/1.18  
% 2.59/1.18  ------  iProver source info
% 2.59/1.18  
% 2.59/1.18  git: date: 2023-05-31 18:12:56 +0000
% 2.59/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.59/1.18  git: non_committed_changes: false
% 2.59/1.18  git: last_make_outside_of_git: false
% 2.59/1.18  
% 2.59/1.18  ------ Parsing...
% 2.59/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 2.59/1.18  
% 2.59/1.18  
% 2.59/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.59/1.18  
% 2.59/1.18  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 2.59/1.18   gs_s  sp: 117 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.59/1.18  ------ Proving...
% 2.59/1.18  ------ Problem Properties 
% 2.59/1.18  
% 2.59/1.18  
% 2.59/1.18  clauses                                 207
% 2.59/1.18  conjectures                             204
% 2.59/1.18  EPR                                     207
% 2.59/1.18  Horn                                    109
% 2.59/1.18  unary                                   0
% 2.59/1.18  binary                                  95
% 2.59/1.18  lits                                    558
% 2.59/1.18  lits eq                                 0
% 2.59/1.18  fd_pure                                 0
% 2.59/1.18  fd_pseudo                               0
% 2.59/1.18  fd_cond                                 0
% 2.59/1.18  fd_pseudo_cond                          0
% 2.59/1.18  AC symbols                              0
% 2.59/1.18  
% 2.59/1.18  ------ Schedule EPR non Horn non eq is on
% 2.59/1.18  
% 2.59/1.18  ------ no equalities: superposition off 
% 2.59/1.18  
% 2.59/1.18  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.59/1.18  
% 2.59/1.18  
% 2.59/1.18  ------ 
% 2.59/1.18  Current options:
% 2.59/1.18  ------ 
% 2.59/1.18  
% 2.59/1.18  
% 2.59/1.18  
% 2.59/1.18  
% 2.59/1.18  ------ Proving...
% 2.59/1.18  
% 2.59/1.18  
% 2.59/1.18  % SZS status Theorem for theBenchmark.p
% 2.59/1.18  
% 2.59/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.59/1.18  
% 2.59/1.18  
%------------------------------------------------------------------------------