TSTP Solution File: SYN485+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN485+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:31:09 EDT 2024

% Result   : Theorem 4.03s 1.18s
% Output   : CNFRefutation 4.03s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f207)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp18
        | hskp25
        | hskp12 )
      & ( hskp10
        | hskp12
        | hskp24 )
      & ( hskp3
        | hskp5
        | hskp29 )
      & ( hskp18
        | hskp5
        | hskp6 )
      & ( hskp5
        | hskp24
        | hskp23 )
      & ( hskp1
        | hskp23
        | hskp17 )
      & ( hskp2
        | hskp17 )
      & ( hskp15
        | hskp23
        | hskp7 )
      & ( hskp5
        | hskp23
        | hskp27 )
      & ( hskp22
        | hskp17
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c1_1(X118)
              | ~ c0_1(X118) ) ) )
      & ( hskp4
        | hskp7
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) ) )
      & ( hskp16
        | hskp7
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c0_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp4
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c0_1(X114)
              | c2_1(X114) ) ) )
      & ( hskp22
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp20
        | hskp17
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp16
        | hskp21
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp12
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | c3_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp5
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | c2_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp11
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c1_1(X106)
              | ~ c0_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp15
        | hskp7
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) ) )
      & ( hskp20
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp3
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c0_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | c1_1(X100) ) ) )
      & ( hskp10
        | hskp11
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c0_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp5
        | hskp26
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp8
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c3_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp17
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | c3_1(X95)
              | c2_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp19
        | hskp11
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp8
        | hskp1
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp3
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c1_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp26
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp18
        | hskp26
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp8
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp16
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp26
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp1
        | hskp17
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp0
        | hskp11
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp29
        | hskp27
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c0_1(X75) ) ) )
      & ( hskp26
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c1_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp16
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | c0_1(X71) ) ) )
      & ( hskp27
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp0
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp4
        | hskp28
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c1_1(X67)
              | c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c0_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp15
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp11
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp14
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp13
        | hskp12
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c0_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp10
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp11
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c2_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp1
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp8
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp4
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp7
        | hskp27
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp10
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c2_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp9
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c0_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp9
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | ~ c0_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp2
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c0_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp8
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | c3_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp4
        | hskp5
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c3_1(X25)
              | c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp7
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c1_1(X23)
              | ~ c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | c3_1(X21)
              | c2_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp6
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp29
        | ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | ~ c0_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c0_1(X14)
              | c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp5
        | hskp28
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp4
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c3_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp27
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp3
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | hskp26
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c2_1(X4)
              | ~ c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c2_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2077)
          & c2_1(a2077)
          & c1_1(a2077)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a2075)
          & c1_1(a2075)
          & c0_1(a2075)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a2073)
          & c1_1(a2073)
          & c0_1(a2073)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a2069)
          & c2_1(a2069)
          & c0_1(a2069)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a2172)
          & ~ c0_1(a2172)
          & c1_1(a2172)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a2160)
          & c2_1(a2160)
          & c1_1(a2160)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a2149)
          & c3_1(a2149)
          & c0_1(a2149)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a2140)
          & c3_1(a2140)
          & c2_1(a2140)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a2136)
          & c1_1(a2136)
          & c0_1(a2136)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a2130)
          & ~ c2_1(a2130)
          & ~ c1_1(a2130)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a2122)
          & ~ c0_1(a2122)
          & c2_1(a2122)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a2116)
          & ~ c2_1(a2116)
          & c1_1(a2116)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a2110)
          & c2_1(a2110)
          & c0_1(a2110)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a2104)
          & ~ c0_1(a2104)
          & c3_1(a2104)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a2099)
          & ~ c2_1(a2099)
          & c0_1(a2099)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a2097)
          & ~ c1_1(a2097)
          & ~ c0_1(a2097)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a2096)
          & ~ c0_1(a2096)
          & c2_1(a2096)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a2095)
          & ~ c0_1(a2095)
          & c1_1(a2095)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a2093)
          & ~ c1_1(a2093)
          & c0_1(a2093)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a2087)
          & ~ c1_1(a2087)
          & c2_1(a2087)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a2084)
          & c3_1(a2084)
          & c2_1(a2084)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a2082)
          & c2_1(a2082)
          & c1_1(a2082)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a2079)
          & c1_1(a2079)
          & c0_1(a2079)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a2078)
          & ~ c1_1(a2078)
          & c0_1(a2078)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a2076)
          & c3_1(a2076)
          & c1_1(a2076)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a2074)
          & c3_1(a2074)
          & c1_1(a2074)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2072)
          & ~ c1_1(a2072)
          & ~ c0_1(a2072)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2071)
          & c2_1(a2071)
          & c0_1(a2071)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2070)
          & c3_1(a2070)
          & c0_1(a2070)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a2068)
          & ~ c0_1(a2068)
          & c3_1(a2068)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp18
          | hskp25
          | hskp12 )
        & ( hskp10
          | hskp12
          | hskp24 )
        & ( hskp3
          | hskp5
          | hskp29 )
        & ( hskp18
          | hskp5
          | hskp6 )
        & ( hskp5
          | hskp24
          | hskp23 )
        & ( hskp1
          | hskp23
          | hskp17 )
        & ( hskp2
          | hskp17 )
        & ( hskp15
          | hskp23
          | hskp7 )
        & ( hskp5
          | hskp23
          | hskp27 )
        & ( hskp22
          | hskp17
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c1_1(X118)
                | ~ c0_1(X118) ) ) )
        & ( hskp4
          | hskp7
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) ) )
        & ( hskp16
          | hskp7
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp4
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c0_1(X114)
                | c2_1(X114) ) ) )
        & ( hskp22
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp20
          | hskp17
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp16
          | hskp21
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp12
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | c3_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp5
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp11
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp15
          | hskp7
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) ) )
        & ( hskp20
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp3
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c0_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp10
          | hskp11
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c0_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp5
          | hskp26
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp8
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp17
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp19
          | hskp11
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp8
          | hskp1
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp3
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp26
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp18
          | hskp26
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp8
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp16
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp26
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp1
          | hskp17
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp0
          | hskp11
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp29
          | hskp27
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp26
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp16
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp27
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp0
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp4
          | hskp28
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp15
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp11
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp14
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp13
          | hskp12
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp10
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp11
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp1
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp8
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp4
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp7
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp10
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c2_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp9
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp9
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c0_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp2
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp8
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp4
          | hskp5
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp7
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp6
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp29
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp5
          | hskp28
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp4
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c3_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp27
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp3
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | hskp26
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c2_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2077)
            & c2_1(a2077)
            & c1_1(a2077)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2075)
            & c1_1(a2075)
            & c0_1(a2075)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2073)
            & c1_1(a2073)
            & c0_1(a2073)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a2069)
            & c2_1(a2069)
            & c0_1(a2069)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a2172)
            & ~ c0_1(a2172)
            & c1_1(a2172)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2160)
            & c2_1(a2160)
            & c1_1(a2160)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a2149)
            & c3_1(a2149)
            & c0_1(a2149)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a2140)
            & c3_1(a2140)
            & c2_1(a2140)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2136)
            & c1_1(a2136)
            & c0_1(a2136)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a2130)
            & ~ c2_1(a2130)
            & ~ c1_1(a2130)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2122)
            & ~ c0_1(a2122)
            & c2_1(a2122)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2116)
            & ~ c2_1(a2116)
            & c1_1(a2116)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2110)
            & c2_1(a2110)
            & c0_1(a2110)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a2104)
            & ~ c0_1(a2104)
            & c3_1(a2104)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2099)
            & ~ c2_1(a2099)
            & c0_1(a2099)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2097)
            & ~ c1_1(a2097)
            & ~ c0_1(a2097)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a2096)
            & ~ c0_1(a2096)
            & c2_1(a2096)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a2095)
            & ~ c0_1(a2095)
            & c1_1(a2095)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2093)
            & ~ c1_1(a2093)
            & c0_1(a2093)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2087)
            & ~ c1_1(a2087)
            & c2_1(a2087)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2084)
            & c3_1(a2084)
            & c2_1(a2084)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a2082)
            & c2_1(a2082)
            & c1_1(a2082)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2079)
            & c1_1(a2079)
            & c0_1(a2079)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a2078)
            & ~ c1_1(a2078)
            & c0_1(a2078)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2076)
            & c3_1(a2076)
            & c1_1(a2076)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a2074)
            & c3_1(a2074)
            & c1_1(a2074)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2072)
            & ~ c1_1(a2072)
            & ~ c0_1(a2072)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2071)
            & c2_1(a2071)
            & c0_1(a2071)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2070)
            & c3_1(a2070)
            & c0_1(a2070)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2068)
            & ~ c0_1(a2068)
            & c3_1(a2068)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp18
          | hskp25
          | hskp12 )
        & ( hskp10
          | hskp12
          | hskp24 )
        & ( hskp3
          | hskp5
          | hskp29 )
        & ( hskp18
          | hskp5
          | hskp6 )
        & ( hskp5
          | hskp24
          | hskp23 )
        & ( hskp1
          | hskp23
          | hskp17 )
        & ( hskp2
          | hskp17 )
        & ( hskp15
          | hskp23
          | hskp7 )
        & ( hskp5
          | hskp23
          | hskp27 )
        & ( hskp22
          | hskp17
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c1_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp4
          | hskp7
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp16
          | hskp7
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c0_1(X2)
                | c2_1(X2) ) ) )
        & ( hskp4
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) ) )
        & ( hskp22
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp20
          | hskp17
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp16
          | hskp21
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp12
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c1_1(X8)
                | c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp5
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp11
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp15
          | hskp7
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp20
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | ~ c1_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) ) )
        & ( hskp3
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp10
          | hskp11
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp5
          | hskp26
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp8
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp17
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp19
          | hskp11
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp8
          | hskp1
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp3
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp26
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp18
          | hskp26
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp8
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp16
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp26
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp1
          | hskp17
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp0
          | hskp11
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp29
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp26
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c1_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp16
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c3_1(X46)
                | c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp27
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp0
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp4
          | hskp28
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp15
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp11
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp14
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp13
          | hskp12
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c0_1(X63)
                | c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp10
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c1_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp11
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp1
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp8
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c1_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp4
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp7
          | hskp27
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp10
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp4
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c3_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp9
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c0_1(X83)
                | c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp9
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp2
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp8
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp4
          | hskp5
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c1_1(X92)
                | c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp7
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp6
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c1_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( hskp29
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c1_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp5
          | hskp28
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp4
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c3_1(X108)
                | c1_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( hskp27
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( hskp3
          | hskp2
          | ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp1
          | hskp26
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp0
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | c2_1(X116)
                | c1_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | c2_1(X117)
                | c0_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( ( c3_1(a2077)
            & c2_1(a2077)
            & c1_1(a2077)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2075)
            & c1_1(a2075)
            & c0_1(a2075)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2073)
            & c1_1(a2073)
            & c0_1(a2073)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a2069)
            & c2_1(a2069)
            & c0_1(a2069)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a2172)
            & ~ c0_1(a2172)
            & c1_1(a2172)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2160)
            & c2_1(a2160)
            & c1_1(a2160)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a2149)
            & c3_1(a2149)
            & c0_1(a2149)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a2140)
            & c3_1(a2140)
            & c2_1(a2140)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2136)
            & c1_1(a2136)
            & c0_1(a2136)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a2130)
            & ~ c2_1(a2130)
            & ~ c1_1(a2130)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2122)
            & ~ c0_1(a2122)
            & c2_1(a2122)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2116)
            & ~ c2_1(a2116)
            & c1_1(a2116)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2110)
            & c2_1(a2110)
            & c0_1(a2110)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a2104)
            & ~ c0_1(a2104)
            & c3_1(a2104)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2099)
            & ~ c2_1(a2099)
            & c0_1(a2099)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2097)
            & ~ c1_1(a2097)
            & ~ c0_1(a2097)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a2096)
            & ~ c0_1(a2096)
            & c2_1(a2096)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a2095)
            & ~ c0_1(a2095)
            & c1_1(a2095)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2093)
            & ~ c1_1(a2093)
            & c0_1(a2093)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2087)
            & ~ c1_1(a2087)
            & c2_1(a2087)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2084)
            & c3_1(a2084)
            & c2_1(a2084)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a2082)
            & c2_1(a2082)
            & c1_1(a2082)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2079)
            & c1_1(a2079)
            & c0_1(a2079)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a2078)
            & ~ c1_1(a2078)
            & c0_1(a2078)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2076)
            & c3_1(a2076)
            & c1_1(a2076)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a2074)
            & c3_1(a2074)
            & c1_1(a2074)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2072)
            & ~ c1_1(a2072)
            & ~ c0_1(a2072)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2071)
            & c2_1(a2071)
            & c0_1(a2071)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2070)
            & c3_1(a2070)
            & c0_1(a2070)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2068)
            & ~ c0_1(a2068)
            & c3_1(a2068)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c1_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp4
      | hskp7
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp16
      | hskp7
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c0_1(X2)
            | c2_1(X2) ) ) )
    & ( hskp4
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c0_1(X4)
            | c2_1(X4) ) ) )
    & ( hskp22
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp20
      | hskp17
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c2_1(X6) ) ) )
    & ( hskp16
      | hskp21
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp12
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c1_1(X8)
            | c3_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp5
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp11
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c1_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp15
      | hskp7
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | c1_1(X14) ) ) )
    & ( hskp20
      | ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | ~ c1_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | c1_1(X16) ) ) )
    & ( hskp3
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c0_1(X17)
            | c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp10
      | hskp11
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp8
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp17
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp19
      | hskp11
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | c3_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp8
      | hskp1
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | ~ c0_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp3
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c1_1(X30)
            | c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp26
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp18
      | hskp26
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp8
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | ~ c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp16
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c0_1(X37)
            | c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp26
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp1
      | hskp17
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp0
      | hskp11
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c2_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp29
      | hskp27
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp26
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c1_1(X44)
            | ~ c0_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp16
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c3_1(X46)
            | c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp27
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp0
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp4
      | hskp28
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c0_1(X52)
            | c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c0_1(X53)
            | c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp15
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp11
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp14
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp13
      | hskp12
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c0_1(X63)
            | c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp10
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | c1_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp11
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp1
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | c0_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp8
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | ~ c1_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp4
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c3_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp7
      | hskp27
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp10
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp4
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | c3_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c3_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp9
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c0_1(X83)
            | c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp9
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c2_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp2
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c0_1(X87)
            | c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp8
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c3_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp4
      | hskp5
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c1_1(X92)
            | c2_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c3_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp7
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c1_1(X95)
            | ~ c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c3_1(X97)
            | c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | c1_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp6
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c0_1(X100)
            | c1_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( hskp29
      | ! [X102] :
          ( ndr1_0
         => ( ~ c1_1(X102)
            | ~ c0_1(X102)
            | c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c0_1(X104)
            | c1_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp5
      | hskp28
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp4
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c3_1(X108)
            | c1_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( hskp27
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( hskp3
      | hskp2
      | ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp1
      | hskp26
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp0
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c2_1(X114)
            | ~ c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | c2_1(X116)
            | c1_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c1_1(X117)
            | c2_1(X117)
            | c0_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c0_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp17
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp21
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp7
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X21] :
          ( ~ c1_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp11
      | ! [X25] :
          ( ~ c0_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp1
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp26
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp17
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp11
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp27
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c1_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X55] :
          ( ~ c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp27
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c1_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp28
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X108] :
          ( ~ c2_1(X108)
          | c3_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp26
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( c3_1(X116)
          | c2_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c1_1(X117)
          | c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c0_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp17
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp21
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp7
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X15] :
          ( ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp26
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X21] :
          ( ~ c1_1(X21)
          | c3_1(X21)
          | c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp11
      | ! [X25] :
          ( ~ c0_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp1
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X30] :
          ( ~ c3_1(X30)
          | ~ c1_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp26
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp17
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp11
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp27
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X44] :
          ( ~ c2_1(X44)
          | ~ c1_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X46] :
          ( ~ c0_1(X46)
          | c3_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X55] :
          ( ~ c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | c1_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c3_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp27
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c3_1(X76)
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c2_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c0_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c1_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X89] :
          ( ~ c2_1(X89)
          | c3_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c1_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c1_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X100] :
          ( ~ c3_1(X100)
          | ~ c0_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X102] :
          ( ~ c1_1(X102)
          | ~ c0_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c2_1(X104)
          | ~ c0_1(X104)
          | c1_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp28
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X108] :
          ( ~ c2_1(X108)
          | c3_1(X108)
          | c1_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X110] :
          ( ~ c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X112] :
          ( c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp26
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X114] :
          ( ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X116] :
          ( c3_1(X116)
          | c2_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( ~ c1_1(X117)
          | c2_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c3_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( ~ c0_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c2_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c0_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( c3_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c2_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f16,plain,
    ( c0_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( c2_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c3_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( ~ c0_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( ~ c1_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c3_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c1_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( c3_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c2_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c1_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( c3_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c0_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c0_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( c1_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c3_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c1_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( c2_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c0_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c2_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( c3_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c1_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c2_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( ~ c1_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c3_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c0_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( ~ c1_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c3_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c2_1(a2095)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c2_1(a2096)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( ~ c0_1(a2096)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c1_1(a2096)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c0_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( ~ c2_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c3_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f75,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c0_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( c2_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c1_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( c2_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( c3_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c0_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f100,plain,
    ( c0_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f101,plain,
    ( c3_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f102,plain,
    ( ~ c1_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f112,plain,
    ( c0_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( c2_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( c3_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c0_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ( c1_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( c3_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c0_1(a2075)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c1_1(a2075)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c2_1(a2075)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f124,plain,
    ( c1_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f125,plain,
    ( c2_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f126,plain,
    ( c3_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f133,plain,
    ! [X107] :
      ( hskp5
      | hskp28
      | c3_1(X107)
      | c1_1(X107)
      | c0_1(X107)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f140,plain,
    ! [X91] :
      ( hskp4
      | hskp5
      | c3_1(X91)
      | c2_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f155,plain,
    ! [X61] :
      ( hskp13
      | hskp12
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f161,plain,
    ! [X50] :
      ( hskp0
      | ~ c3_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f166,plain,
    ! [X42] :
      ( hskp0
      | hskp11
      | ~ c3_1(X42)
      | ~ c2_1(X42)
      | c0_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f180,plain,
    ! [X19] :
      ( hskp10
      | hskp11
      | ~ c3_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f189,plain,
    ! [X5] :
      ( hskp22
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f193,plain,
    ! [X0] :
      ( hskp22
      | hskp17
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f196,plain,
    ( hskp2
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f197,plain,
    ( hskp1
    | hskp23
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f200,plain,
    ( hskp3
    | hskp5
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_51,negated_conjecture,
    ( hskp3
    | hskp5
    | hskp29 ),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_54,negated_conjecture,
    ( hskp23
    | hskp1
    | hskp17 ),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_55,negated_conjecture,
    ( hskp17
    | hskp2 ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_58,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp17
    | hskp22 ),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_62,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp22 ),
    inference(cnf_transformation,[],[f189]) ).

cnf(c_66,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_67,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp11 ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_69,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp20 ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_70,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X0)
    | hskp3 ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_71,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp10
    | hskp11 ),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_73,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c2_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_77,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_78,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | hskp3 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_81,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_85,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp11
    | hskp0 ),
    inference(cnf_transformation,[],[f166]) ).

cnf(c_87,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp26 ),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_90,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp0 ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_92,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X1)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_93,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | hskp15 ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_94,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp11 ),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_96,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp12
    | hskp13 ),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_97,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_98,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_100,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_104,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f230]) ).

cnf(c_105,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp4 ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_106,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_107,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_110,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c2_1(X0)
    | hskp8 ),
    inference(cnf_transformation,[],[f236]) ).

cnf(c_111,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp5
    | hskp4 ),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_112,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_113,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_114,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f239]) ).

cnf(c_117,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f242]) ).

cnf(c_118,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp5
    | hskp28 ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_119,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp4 ),
    inference(cnf_transformation,[],[f243]) ).

cnf(c_120,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(cnf_transformation,[],[f244]) ).

cnf(c_123,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f245]) ).

cnf(c_124,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f246]) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp29
    | c3_1(a2077) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp29
    | c2_1(a2077) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp29
    | c1_1(a2077) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp28
    | c2_1(a2075) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp28
    | c1_1(a2075) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp28
    | c0_1(a2075) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp27
    | c3_1(a2073) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp27
    | c1_1(a2073) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp27
    | c0_1(a2073) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp26
    | c3_1(a2069) ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp26
    | c2_1(a2069) ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp26
    | c0_1(a2069) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_149,negated_conjecture,
    ( ~ c1_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_150,negated_conjecture,
    ( ~ hskp23
    | c3_1(a2149) ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_151,negated_conjecture,
    ( ~ hskp23
    | c0_1(a2149) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_153,negated_conjecture,
    ( ~ c0_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_154,negated_conjecture,
    ( ~ hskp22
    | c3_1(a2140) ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp22
    | c2_1(a2140) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_173,negated_conjecture,
    ( ~ c1_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_174,negated_conjecture,
    ( ~ hskp17
    | c2_1(a2110) ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp17
    | c0_1(a2110) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_176,negated_conjecture,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f75]) ).

cnf(c_181,negated_conjecture,
    ( ~ c3_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_182,negated_conjecture,
    ( ~ c2_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp15
    | c0_1(a2099) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_189,negated_conjecture,
    ( ~ c1_1(a2096)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_190,negated_conjecture,
    ( ~ c0_1(a2096)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp13
    | c2_1(a2096) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_193,negated_conjecture,
    ( ~ c2_1(a2095)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_197,negated_conjecture,
    ( ~ c3_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_198,negated_conjecture,
    ( ~ c1_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp11
    | c0_1(a2093) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_201,negated_conjecture,
    ( ~ c3_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_202,negated_conjecture,
    ( ~ c1_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp10
    | c2_1(a2087) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_205,negated_conjecture,
    ( ~ c1_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_206,negated_conjecture,
    ( ~ hskp9
    | c3_1(a2084) ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp9
    | c2_1(a2084) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_209,negated_conjecture,
    ( ~ c0_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_210,negated_conjecture,
    ( ~ hskp8
    | c2_1(a2082) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_211,negated_conjecture,
    ( ~ hskp8
    | c1_1(a2082) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_213,negated_conjecture,
    ( ~ c3_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_214,negated_conjecture,
    ( ~ hskp7
    | c1_1(a2079) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp7
    | c0_1(a2079) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_221,negated_conjecture,
    ( ~ c0_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_222,negated_conjecture,
    ( ~ hskp5
    | c3_1(a2076) ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp5
    | c1_1(a2076) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_225,negated_conjecture,
    ( ~ c2_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_226,negated_conjecture,
    ( ~ hskp4
    | c3_1(a2074) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp4
    | c1_1(a2074) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_229,negated_conjecture,
    ( ~ c3_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_230,negated_conjecture,
    ( ~ c1_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_231,negated_conjecture,
    ( ~ c0_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_233,negated_conjecture,
    ( ~ c3_1(a2071)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_234,negated_conjecture,
    ( ~ hskp2
    | c2_1(a2071) ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_235,negated_conjecture,
    ( ~ hskp2
    | c0_1(a2071) ),
    inference(cnf_transformation,[],[f16]) ).

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

cnf(c_237,negated_conjecture,
    ( ~ c2_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_238,negated_conjecture,
    ( ~ hskp1
    | c3_1(a2070) ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_239,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2070) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_241,negated_conjecture,
    ( ~ c2_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_242,negated_conjecture,
    ( ~ c0_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp0
    | c3_1(a2068) ),
    inference(cnf_transformation,[],[f8]) ).

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

cnf(c_270,plain,
    ( ~ c3_1(a2068)
    | ~ ndr1_0
    | c1_1(a2068)
    | c0_1(a2068)
    | c2_1(a2068)
    | hskp4 ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_274,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_244,c_55,c_236,c_176]) ).

cnf(c_340,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp5
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_55,c_236,c_176,c_118]) ).

cnf(c_343,negated_conjecture,
    ( c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | hskp5
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_55,c_236,c_176,c_111]) ).

cnf(c_352,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp12
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_55,c_236,c_176,c_96]) ).

cnf(c_355,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_55,c_236,c_176,c_90]) ).

cnf(c_356,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_355]) ).

cnf(c_367,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_55,c_236,c_176,c_62]) ).

cnf(c_368,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_367]) ).

cnf(c_376,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp11
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_55,c_236,c_176,c_85]) ).

cnf(c_377,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp11
    | hskp0 ),
    inference(renaming,[status(thm)],[c_376]) ).

cnf(c_382,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp10
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_55,c_236,c_176,c_71]) ).

cnf(c_383,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp10
    | hskp11 ),
    inference(renaming,[status(thm)],[c_382]) ).

cnf(c_400,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | hskp17
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_55,c_236,c_176,c_58]) ).

cnf(c_401,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp17
    | hskp22 ),
    inference(renaming,[status(thm)],[c_400]) ).

cnf(c_403,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_120,c_55,c_236,c_176,c_120]) ).

cnf(c_406,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_119,c_55,c_236,c_176,c_119]) ).

cnf(c_409,plain,
    ( ~ c2_1(X1)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c2_1(X0)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_110,c_55,c_236,c_176,c_110]) ).

cnf(c_410,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c2_1(X0)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_409]) ).

cnf(c_418,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_123,c_55,c_236,c_176,c_123]) ).

cnf(c_419,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_418]) ).

cnf(c_428,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_55,c_236,c_176,c_107]) ).

cnf(c_429,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_430,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_55,c_236,c_176,c_100]) ).

cnf(c_431,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_430]) ).

cnf(c_433,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_55,c_236,c_176,c_98]) ).

cnf(c_434,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_433]) ).

cnf(c_435,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_55,c_236,c_176,c_94]) ).

cnf(c_436,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_435]) ).

cnf(c_437,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_55,c_236,c_176,c_93]) ).

cnf(c_438,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_437]) ).

cnf(c_445,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_55,c_236,c_176,c_78]) ).

cnf(c_446,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_445]) ).

cnf(c_449,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c2_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_55,c_236,c_176,c_73]) ).

cnf(c_450,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c2_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_449]) ).

cnf(c_451,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_113,c_55,c_236,c_176,c_113]) ).

cnf(c_452,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_451]) ).

cnf(c_453,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_104,c_55,c_236,c_176,c_104]) ).

cnf(c_454,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_453]) ).

cnf(c_464,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_55,c_236,c_176,c_81]) ).

cnf(c_465,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_464]) ).

cnf(c_466,plain,
    ( ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_55,c_236,c_176,c_70]) ).

cnf(c_467,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_466]) ).

cnf(c_468,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_55,c_236,c_176,c_67]) ).

cnf(c_469,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_468]) ).

cnf(c_470,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_55,c_236,c_176,c_66]) ).

cnf(c_471,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_470]) ).

cnf(c_477,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_87,c_55,c_236,c_176,c_87]) ).

cnf(c_478,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X0)
    | hskp26 ),
    inference(renaming,[status(thm)],[c_477]) ).

cnf(c_479,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_69,c_274]) ).

cnf(c_480,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X0)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_479]) ).

cnf(c_481,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_124,c_55,c_236,c_176,c_124]) ).

cnf(c_483,plain,
    ( ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_112,c_55,c_236,c_176,c_112]) ).

cnf(c_484,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_483]) ).

cnf(c_485,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_55,c_236,c_176,c_106]) ).

cnf(c_486,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_485]) ).

cnf(c_487,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_55,c_236,c_176,c_114]) ).

cnf(c_488,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_487]) ).

cnf(c_489,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_117,c_55,c_236,c_176,c_117]) ).

cnf(c_490,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_489]) ).

cnf(c_491,plain,
    ( ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_55,c_236,c_176,c_97]) ).

cnf(c_492,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | c3_1(X2)
    | c0_1(X2)
    | c2_1(X0)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_491]) ).

cnf(c_493,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_55,c_236,c_176,c_92]) ).

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

cnf(c_495,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_77,c_55,c_236,c_176,c_77]) ).

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

cnf(c_2625,plain,
    ( c0_1(a2149)
    | hskp1
    | hskp17 ),
    inference(resolution,[status(thm)],[c_54,c_151]) ).

cnf(c_2635,plain,
    ( c3_1(a2149)
    | hskp1
    | hskp17 ),
    inference(resolution,[status(thm)],[c_54,c_150]) ).

cnf(c_2645,plain,
    ( ~ c1_1(a2149)
    | hskp1
    | hskp17 ),
    inference(resolution,[status(thm)],[c_54,c_149]) ).

cnf(c_2991,plain,
    ( c0_1(a2071)
    | hskp17 ),
    inference(resolution,[status(thm)],[c_55,c_235]) ).

cnf(c_2998,plain,
    ( c2_1(a2071)
    | hskp17 ),
    inference(resolution,[status(thm)],[c_55,c_234]) ).

cnf(c_3005,plain,
    ( ~ c3_1(a2071)
    | hskp17 ),
    inference(resolution,[status(thm)],[c_55,c_233]) ).

cnf(c_3345,plain,
    ( c1_1(a2077)
    | hskp3
    | hskp5 ),
    inference(resolution,[status(thm)],[c_51,c_127]) ).

cnf(c_3355,plain,
    ( c2_1(a2077)
    | hskp3
    | hskp5 ),
    inference(resolution,[status(thm)],[c_51,c_126]) ).

cnf(c_3365,plain,
    ( c3_1(a2077)
    | hskp3
    | hskp5 ),
    inference(resolution,[status(thm)],[c_51,c_125]) ).

cnf(c_17230,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_496]) ).

cnf(c_17231,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_496]) ).

cnf(c_17232,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_496]) ).

cnf(c_17233,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

cnf(c_17234,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_494]) ).

cnf(c_17235,negated_conjecture,
    ( c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_494]) ).

cnf(c_17236,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_494]) ).

cnf(c_17238,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_492]) ).

cnf(c_17239,negated_conjecture,
    ( c2_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_492]) ).

cnf(c_17240,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_492]) ).

cnf(c_17241,negated_conjecture,
    ( sP6_iProver_def
    | sP7_iProver_def
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).

cnf(c_17242,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_490]) ).

cnf(c_17243,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_490]) ).

cnf(c_17244,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_490]) ).

cnf(c_17245,negated_conjecture,
    ( sP9_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

cnf(c_17246,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_488]) ).

cnf(c_17247,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_488]) ).

cnf(c_17248,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_488]) ).

cnf(c_17249,negated_conjecture,
    ( sP12_iProver_def
    | sP13_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

cnf(c_17251,negated_conjecture,
    ( c2_1(X0)
    | c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_486]) ).

cnf(c_17253,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_484]) ).

cnf(c_17254,negated_conjecture,
    ( c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_484]) ).

cnf(c_17255,negated_conjecture,
    ( sP8_iProver_def
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

cnf(c_17256,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_481]) ).

cnf(c_17257,negated_conjecture,
    ( c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_481]) ).

cnf(c_17258,negated_conjecture,
    ( c2_1(X0)
    | c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_481]) ).

cnf(c_17259,negated_conjecture,
    ( sP19_iProver_def
    | sP20_iProver_def
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

cnf(c_17260,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_480]) ).

cnf(c_17262,negated_conjecture,
    ( hskp26
    | sP11_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

cnf(c_17267,negated_conjecture,
    ( hskp5
    | sP4_iProver_def
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

cnf(c_17268,negated_conjecture,
    ( c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_469]) ).

cnf(c_17269,negated_conjecture,
    ( hskp11
    | sP22_iProver_def
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).

cnf(c_17270,negated_conjecture,
    ( hskp3
    | sP7_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

cnf(c_17271,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_def])],[c_465]) ).

cnf(c_17279,negated_conjecture,
    ( hskp10
    | sP2_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

cnf(c_17280,negated_conjecture,
    ( hskp7
    | sP0_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

cnf(c_17281,negated_conjecture,
    ( hskp8
    | sP5_iProver_def
    | sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

cnf(c_17283,negated_conjecture,
    ( hskp3
    | sP1_iProver_def
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

cnf(c_17287,negated_conjecture,
    ( hskp15
    | sP3_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

cnf(c_17288,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_def])],[c_436]) ).

cnf(c_17289,negated_conjecture,
    ( hskp11
    | sP17_iProver_def
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

cnf(c_17290,negated_conjecture,
    ( hskp10
    | sP6_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_434]) ).

cnf(c_17291,negated_conjecture,
    ( hskp1
    | sP6_iProver_def
    | sP29_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

cnf(c_17292,negated_conjecture,
    ( hskp9
    | sP7_iProver_def
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_17297,negated_conjecture,
    ( hskp0
    | sP2_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_419]) ).

cnf(c_17301,negated_conjecture,
    ( hskp8
    | sP17_iProver_def
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

cnf(c_17302,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_def])],[c_406]) ).

cnf(c_17303,negated_conjecture,
    ( hskp4
    | sP17_iProver_def
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_406]) ).

cnf(c_17304,negated_conjecture,
    ( hskp27
    | sP10_iProver_def
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_403]) ).

cnf(c_17305,negated_conjecture,
    ( hskp17
    | hskp22
    | sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

cnf(c_17311,negated_conjecture,
    ( hskp10
    | hskp11
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

cnf(c_17313,negated_conjecture,
    ( hskp11
    | hskp0
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

cnf(c_17319,negated_conjecture,
    ( hskp12
    | hskp13
    | sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_352]) ).

cnf(c_17322,negated_conjecture,
    ( hskp5
    | hskp4
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_343]) ).

cnf(c_17323,negated_conjecture,
    ( hskp5
    | hskp28
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_340]) ).

cnf(c_17326,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_17233]) ).

cnf(c_17334,negated_conjecture,
    ( sP6_iProver_def
    | sP7_iProver_def
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_17241]) ).

cnf(c_17338,negated_conjecture,
    ( sP9_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_17245]) ).

cnf(c_17341,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP9_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17242]) ).

cnf(c_17342,negated_conjecture,
    ( sP12_iProver_def
    | sP13_iProver_def
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_17249]) ).

cnf(c_17350,negated_conjecture,
    ( sP8_iProver_def
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_17255]) ).

cnf(c_17354,negated_conjecture,
    ( sP19_iProver_def
    | sP20_iProver_def
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_17259]) ).

cnf(c_17361,negated_conjecture,
    ( hskp26
    | sP11_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_17262]) ).

cnf(c_17370,negated_conjecture,
    ( hskp5
    | sP4_iProver_def
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_17267]) ).

cnf(c_17373,negated_conjecture,
    ( hskp11
    | sP22_iProver_def
    | sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_17269]) ).

cnf(c_17376,negated_conjecture,
    ( hskp3
    | sP7_iProver_def
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_17270]) ).

cnf(c_17394,negated_conjecture,
    ( hskp10
    | sP2_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_17279]) ).

cnf(c_17397,negated_conjecture,
    ( hskp7
    | sP0_iProver_def
    | sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_17280]) ).

cnf(c_17400,negated_conjecture,
    ( hskp8
    | sP5_iProver_def
    | sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_17281]) ).

cnf(c_17405,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP13_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17247]) ).

cnf(c_17406,negated_conjecture,
    ( hskp3
    | sP1_iProver_def
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_17283]) ).

cnf(c_17407,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP8_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17240]) ).

cnf(c_17417,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP25_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17268]) ).

cnf(c_17418,negated_conjecture,
    ( hskp15
    | sP3_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_17287]) ).

cnf(c_17421,negated_conjecture,
    ( hskp11
    | sP17_iProver_def
    | sP29_iProver_def ),
    inference(demodulation,[status(thm)],[c_17289]) ).

cnf(c_17424,negated_conjecture,
    ( hskp10
    | sP6_iProver_def
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_17290]) ).

cnf(c_17427,negated_conjecture,
    ( hskp1
    | sP6_iProver_def
    | sP29_iProver_def ),
    inference(demodulation,[status(thm)],[c_17291]) ).

cnf(c_17430,negated_conjecture,
    ( hskp9
    | sP7_iProver_def
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_17292]) ).

cnf(c_17441,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP12_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17246]) ).

cnf(c_17445,negated_conjecture,
    ( hskp0
    | sP2_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_17297]) ).

cnf(c_17446,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_17232]) ).

cnf(c_17449,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP29_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17288]) ).

cnf(c_17457,negated_conjecture,
    ( hskp8
    | sP17_iProver_def
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_17301]) ).

cnf(c_17458,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP21_iProver_def
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17258]) ).

cnf(c_17460,negated_conjecture,
    ( hskp4
    | sP17_iProver_def
    | sP30_iProver_def ),
    inference(demodulation,[status(thm)],[c_17303]) ).

cnf(c_17461,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP17_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17253]) ).

cnf(c_17463,negated_conjecture,
    ( hskp27
    | sP10_iProver_def
    | sP30_iProver_def ),
    inference(demodulation,[status(thm)],[c_17304]) ).

cnf(c_17464,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP10_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17243]) ).

cnf(c_17466,negated_conjecture,
    ( hskp17
    | hskp22
    | sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_17305]) ).

cnf(c_17467,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_17230]) ).

cnf(c_17469,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_17260]) ).

cnf(c_17471,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP7_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17239]) ).

cnf(c_17475,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP4_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17235]) ).

cnf(c_17477,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP14_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17248]) ).

cnf(c_17478,negated_conjecture,
    ( hskp10
    | hskp11
    | sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_17311]) ).

cnf(c_17481,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP5_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17236]) ).

cnf(c_17482,negated_conjecture,
    ( hskp11
    | hskp0
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_17313]) ).

cnf(c_17485,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP11_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17244]) ).

cnf(c_17487,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP3_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17234]) ).

cnf(c_17488,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp22 ),
    inference(demodulation,[status(thm)],[c_368]) ).

cnf(c_17492,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP1_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17231]) ).

cnf(c_17494,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP26_iProver_def
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17271]) ).

cnf(c_17495,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_356]) ).

cnf(c_17496,negated_conjecture,
    ( hskp12
    | hskp13
    | sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_17319]) ).

cnf(c_17497,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP6_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17238]) ).

cnf(c_17499,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP16_iProver_def
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17251]) ).

cnf(c_17501,negated_conjecture,
    ( ~ sP19_iProver_def
    | c3_1(X0)
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17256]) ).

cnf(c_17502,negated_conjecture,
    ( hskp5
    | hskp4
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_17322]) ).

cnf(c_17503,negated_conjecture,
    ( ~ sP18_iProver_def
    | c3_1(X0)
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17254]) ).

cnf(c_17504,negated_conjecture,
    ( hskp5
    | hskp28
    | sP30_iProver_def ),
    inference(demodulation,[status(thm)],[c_17323]) ).

cnf(c_17505,negated_conjecture,
    ( ~ sP30_iProver_def
    | c3_1(X0)
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17302]) ).

cnf(c_17509,negated_conjecture,
    ( ~ sP20_iProver_def
    | c1_1(X0)
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17257]) ).

cnf(c_17613,plain,
    ( ~ c3_1(a2068)
    | ~ sP12_iProver_def
    | c1_1(a2068)
    | c0_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17441]) ).

cnf(c_17614,plain,
    ( ~ c3_1(a2068)
    | ~ sP16_iProver_def
    | c0_1(a2068)
    | c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17499]) ).

cnf(c_17617,plain,
    ( ~ c1_1(a2068)
    | ~ sP21_iProver_def
    | c0_1(a2068)
    | c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17458]) ).

cnf(c_17619,plain,
    ( ~ c3_1(a2068)
    | ~ sP26_iProver_def
    | c1_1(a2068)
    | c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17494]) ).

cnf(c_17624,plain,
    ( ~ c3_1(a2068)
    | ~ c1_1(a2068)
    | ~ sP8_iProver_def
    | c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17407]) ).

cnf(c_17638,plain,
    ( ~ c0_1(a2110)
    | ~ c2_1(a2110)
    | ~ sP9_iProver_def
    | c1_1(a2110) ),
    inference(instantiation,[status(thm)],[c_17341]) ).

cnf(c_17645,plain,
    ( ~ c1_1(a2079)
    | ~ sP13_iProver_def
    | c3_1(a2079)
    | c2_1(a2079) ),
    inference(instantiation,[status(thm)],[c_17405]) ).

cnf(c_17653,plain,
    ( ~ c3_1(a2074)
    | ~ c1_1(a2074)
    | ~ sP8_iProver_def
    | c2_1(a2074) ),
    inference(instantiation,[status(thm)],[c_17407]) ).

cnf(c_17654,plain,
    ( ~ c3_1(a2077)
    | ~ c1_1(a2077)
    | ~ c0_1(a2077)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_17467]) ).

cnf(c_17655,plain,
    ( ~ c3_1(a2073)
    | ~ c1_1(a2073)
    | ~ c0_1(a2073)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_17467]) ).

cnf(c_17660,plain,
    ( ~ c3_1(a2074)
    | ~ c1_1(a2074)
    | ~ c0_1(a2074)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_17467]) ).

cnf(c_17663,plain,
    ( ~ c3_1(a2110)
    | ~ c2_1(a2110)
    | ~ sP14_iProver_def
    | c1_1(a2110) ),
    inference(instantiation,[status(thm)],[c_17477]) ).

cnf(c_17665,plain,
    ( ~ c3_1(a2084)
    | ~ c2_1(a2084)
    | ~ sP14_iProver_def
    | c1_1(a2084) ),
    inference(instantiation,[status(thm)],[c_17477]) ).

cnf(c_17673,plain,
    ( ~ c3_1(a2076)
    | ~ c1_1(a2076)
    | ~ sP3_iProver_def
    | c0_1(a2076) ),
    inference(instantiation,[status(thm)],[c_17487]) ).

cnf(c_17681,plain,
    ( ~ c1_1(a2074)
    | ~ c0_1(a2074)
    | c2_1(a2074)
    | hskp22 ),
    inference(instantiation,[status(thm)],[c_17488]) ).

cnf(c_17698,plain,
    ( ~ c3_1(a2077)
    | ~ c0_1(a2077)
    | ~ c2_1(a2077)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17446]) ).

cnf(c_17699,plain,
    ( ~ c3_1(a2069)
    | ~ c0_1(a2069)
    | ~ c2_1(a2069)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17446]) ).

cnf(c_17705,plain,
    ( ~ c1_1(a2095)
    | ~ sP13_iProver_def
    | c3_1(a2095)
    | c2_1(a2095) ),
    inference(instantiation,[status(thm)],[c_17405]) ).

cnf(c_17725,plain,
    ( ~ c3_1(a2095)
    | ~ c1_1(a2095)
    | c0_1(a2095)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_17495]) ).

cnf(c_17727,plain,
    ( ~ c3_1(a2076)
    | ~ c1_1(a2076)
    | c0_1(a2076)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_17495]) ).

cnf(c_17730,plain,
    ( ~ c3_1(a2074)
    | ~ sP16_iProver_def
    | c0_1(a2074)
    | c2_1(a2074) ),
    inference(instantiation,[status(thm)],[c_17499]) ).

cnf(c_17732,plain,
    ( ~ c3_1(a2149)
    | ~ c2_1(a2149)
    | ~ sP14_iProver_def
    | c1_1(a2149) ),
    inference(instantiation,[status(thm)],[c_17477]) ).

cnf(c_17733,plain,
    ( ~ c3_1(a2149)
    | ~ c0_1(a2149)
    | ~ c2_1(a2149)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17446]) ).

cnf(c_17736,plain,
    ( ~ c0_1(a2095)
    | ~ sP25_iProver_def
    | c3_1(a2095)
    | c2_1(a2095) ),
    inference(instantiation,[status(thm)],[c_17417]) ).

cnf(c_17741,plain,
    ( ~ c2_1(a2110)
    | ~ sP17_iProver_def
    | c3_1(a2110)
    | c1_1(a2110) ),
    inference(instantiation,[status(thm)],[c_17461]) ).

cnf(c_17744,plain,
    ( ~ c2_1(a2087)
    | ~ sP17_iProver_def
    | c3_1(a2087)
    | c1_1(a2087) ),
    inference(instantiation,[status(thm)],[c_17461]) ).

cnf(c_17756,plain,
    ( ~ c3_1(a2095)
    | ~ c0_1(a2095)
    | ~ sP7_iProver_def
    | c2_1(a2095) ),
    inference(instantiation,[status(thm)],[c_17471]) ).

cnf(c_17758,plain,
    ( ~ c3_1(a2074)
    | ~ c0_1(a2074)
    | ~ sP7_iProver_def
    | c2_1(a2074) ),
    inference(instantiation,[status(thm)],[c_17471]) ).

cnf(c_17759,plain,
    ( ~ c3_1(a2070)
    | ~ c0_1(a2070)
    | ~ sP7_iProver_def
    | c2_1(a2070) ),
    inference(instantiation,[status(thm)],[c_17471]) ).

cnf(c_17762,plain,
    ( ~ c1_1(a2074)
    | ~ c0_1(a2074)
    | ~ sP4_iProver_def
    | c2_1(a2074) ),
    inference(instantiation,[status(thm)],[c_17475]) ).

cnf(c_17765,plain,
    ( ~ c3_1(a2140)
    | ~ c2_1(a2140)
    | ~ sP14_iProver_def
    | c1_1(a2140) ),
    inference(instantiation,[status(thm)],[c_17477]) ).

cnf(c_17767,plain,
    ( ~ c3_1(a2140)
    | ~ c1_1(a2140)
    | c0_1(a2140)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_17495]) ).

cnf(c_17769,plain,
    ( ~ c3_1(a2140)
    | ~ c2_1(a2140)
    | ~ sP11_iProver_def
    | c0_1(a2140) ),
    inference(instantiation,[status(thm)],[c_17485]) ).

cnf(c_17771,plain,
    ( ~ c0_1(a2110)
    | ~ sP1_iProver_def
    | c3_1(a2110)
    | c1_1(a2110) ),
    inference(instantiation,[status(thm)],[c_17492]) ).

cnf(c_17773,plain,
    ( ~ c0_1(a2093)
    | ~ sP1_iProver_def
    | c3_1(a2093)
    | c1_1(a2093) ),
    inference(instantiation,[status(thm)],[c_17492]) ).

cnf(c_17774,plain,
    ( ~ c0_1(a2087)
    | ~ sP1_iProver_def
    | c3_1(a2087)
    | c1_1(a2087) ),
    inference(instantiation,[status(thm)],[c_17492]) ).

cnf(c_17790,plain,
    ( ~ c3_1(a2077)
    | ~ c1_1(a2077)
    | c0_1(a2077)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_17495]) ).

cnf(c_17800,plain,
    ( ~ c3_1(a2074)
    | ~ c1_1(a2074)
    | c0_1(a2074)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_17495]) ).

cnf(c_17816,plain,
    ( ~ sP30_iProver_def
    | c3_1(a2096)
    | c1_1(a2096)
    | c0_1(a2096) ),
    inference(instantiation,[status(thm)],[c_17505]) ).

cnf(c_17817,plain,
    ( ~ c3_1(a2096)
    | ~ c2_1(a2096)
    | ~ sP11_iProver_def
    | c0_1(a2096) ),
    inference(instantiation,[status(thm)],[c_17485]) ).

cnf(c_17825,plain,
    ( ~ c1_1(a2140)
    | ~ c2_1(a2140)
    | ~ sP29_iProver_def
    | c0_1(a2140) ),
    inference(instantiation,[status(thm)],[c_17449]) ).

cnf(c_17828,plain,
    ( ~ c1_1(a2082)
    | ~ c2_1(a2082)
    | ~ sP29_iProver_def
    | c0_1(a2082) ),
    inference(instantiation,[status(thm)],[c_17449]) ).

cnf(c_17831,plain,
    ( ~ c1_1(a2077)
    | ~ c2_1(a2077)
    | ~ sP29_iProver_def
    | c0_1(a2077) ),
    inference(instantiation,[status(thm)],[c_17449]) ).

cnf(c_17833,plain,
    ( ~ c2_1(a2072)
    | ~ sP6_iProver_def
    | c3_1(a2072)
    | c0_1(a2072) ),
    inference(instantiation,[status(thm)],[c_17497]) ).

cnf(c_17835,plain,
    ( ~ sP30_iProver_def
    | c3_1(a2072)
    | c1_1(a2072)
    | c0_1(a2072) ),
    inference(instantiation,[status(thm)],[c_17505]) ).

cnf(c_17844,plain,
    ( ~ c1_1(a2075)
    | ~ c0_1(a2075)
    | ~ c2_1(a2075)
    | ~ sP22_iProver_def ),
    inference(instantiation,[status(thm)],[c_17469]) ).

cnf(c_17858,plain,
    ( ~ c1_1(a2079)
    | ~ c0_1(a2079)
    | ~ c2_1(a2079)
    | ~ sP22_iProver_def ),
    inference(instantiation,[status(thm)],[c_17469]) ).

cnf(c_17860,plain,
    ( ~ c1_1(a2071)
    | ~ c0_1(a2071)
    | ~ c2_1(a2071)
    | ~ sP22_iProver_def ),
    inference(instantiation,[status(thm)],[c_17469]) ).

cnf(c_17865,plain,
    ( ~ c3_1(a2110)
    | ~ c0_1(a2110)
    | ~ sP5_iProver_def
    | c1_1(a2110) ),
    inference(instantiation,[status(thm)],[c_17481]) ).

cnf(c_17876,plain,
    ( ~ c2_1(a2087)
    | ~ sP10_iProver_def
    | c1_1(a2087)
    | c0_1(a2087) ),
    inference(instantiation,[status(thm)],[c_17464]) ).

cnf(c_17878,plain,
    ( ~ c2_1(a2072)
    | ~ sP10_iProver_def
    | c1_1(a2072)
    | c0_1(a2072) ),
    inference(instantiation,[status(thm)],[c_17464]) ).

cnf(c_17898,plain,
    ( ~ c3_1(a2073)
    | ~ c0_1(a2073)
    | ~ c2_1(a2073)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17446]) ).

cnf(c_17900,plain,
    ( ~ c3_1(a2110)
    | ~ c0_1(a2110)
    | ~ c2_1(a2110)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_17446]) ).

cnf(c_17918,plain,
    ( ~ c3_1(a2073)
    | ~ c0_1(a2073)
    | ~ sP7_iProver_def
    | c2_1(a2073) ),
    inference(instantiation,[status(thm)],[c_17471]) ).

cnf(c_17919,plain,
    ( ~ c3_1(a2149)
    | ~ c0_1(a2149)
    | ~ sP7_iProver_def
    | c2_1(a2149) ),
    inference(instantiation,[status(thm)],[c_17471]) ).

cnf(c_17955,plain,
    ( ~ c2_1(a2087)
    | ~ sP6_iProver_def
    | c3_1(a2087)
    | c0_1(a2087) ),
    inference(instantiation,[status(thm)],[c_17497]) ).

cnf(c_17965,plain,
    ( ~ sP19_iProver_def
    | c3_1(a2072)
    | c1_1(a2072)
    | c2_1(a2072) ),
    inference(instantiation,[status(thm)],[c_17501]) ).

cnf(c_17972,plain,
    ( ~ sP18_iProver_def
    | c3_1(a2072)
    | c0_1(a2072)
    | c2_1(a2072) ),
    inference(instantiation,[status(thm)],[c_17503]) ).

cnf(c_17982,plain,
    ( ~ sP20_iProver_def
    | c1_1(a2072)
    | c0_1(a2072)
    | c2_1(a2072) ),
    inference(instantiation,[status(thm)],[c_17509]) ).

cnf(c_17984,plain,
    ( ~ sP20_iProver_def
    | c1_1(a2095)
    | c0_1(a2095)
    | c2_1(a2095) ),
    inference(instantiation,[status(thm)],[c_17509]) ).

cnf(c_18062,plain,
    ( ~ c1_1(a2074)
    | ~ sP21_iProver_def
    | c0_1(a2074)
    | c2_1(a2074) ),
    inference(instantiation,[status(thm)],[c_17458]) ).

cnf(c_18090,plain,
    ( ~ c0_1(a2099)
    | ~ sP25_iProver_def
    | c3_1(a2099)
    | c2_1(a2099) ),
    inference(instantiation,[status(thm)],[c_17417]) ).

cnf(c_18113,plain,
    ( ~ c2_1(a2071)
    | ~ sP17_iProver_def
    | c3_1(a2071)
    | c1_1(a2071) ),
    inference(instantiation,[status(thm)],[c_17461]) ).

cnf(c_18178,plain,
    ( ~ c1_1(a2077)
    | ~ c0_1(a2077)
    | ~ c2_1(a2077)
    | ~ sP22_iProver_def ),
    inference(instantiation,[status(thm)],[c_17469]) ).

cnf(c_18196,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18178,c_18113,c_18090,c_18062,c_17984,c_17982,c_17972,c_17965,c_17955,c_17919,c_17918,c_17900,c_17898,c_17878,c_17876,c_17865,c_17860,c_17858,c_17844,c_17833,c_17835,c_17831,c_17828,c_17825,c_17816,c_17817,c_17800,c_17790,c_17774,c_17773,c_17771,c_17767,c_17769,c_17765,c_17762,c_17759,c_17758,c_17756,c_17744,c_17741,c_17736,c_17732,c_17733,c_17730,c_17727,c_17725,c_17705,c_17699,c_17698,c_17681,c_17673,c_17665,c_17663,c_17660,c_17655,c_17654,c_17653,c_17645,c_17638,c_17624,c_17619,c_17617,c_17614,c_17613,c_17504,c_17502,c_17496,c_17482,c_17478,c_17466,c_17463,c_17460,c_17457,c_17445,c_17430,c_17427,c_17424,c_17421,c_17418,c_17406,c_17400,c_17397,c_17394,c_17376,c_17373,c_17370,c_17361,c_17354,c_17350,c_17342,c_17338,c_17334,c_17326,c_3365,c_3355,c_3345,c_3005,c_2998,c_2991,c_2645,c_2635,c_2625,c_274,c_270,c_153,c_173,c_181,c_182,c_189,c_190,c_193,c_197,c_198,c_201,c_202,c_205,c_209,c_213,c_221,c_225,c_229,c_230,c_231,c_237,c_241,c_242,c_129,c_130,c_131,c_133,c_134,c_135,c_137,c_138,c_139,c_154,c_155,c_174,c_175,c_183,c_191,c_199,c_203,c_206,c_207,c_210,c_211,c_214,c_215,c_222,c_223,c_226,c_227,c_238,c_239,c_243]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN485+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 21:06:21 EDT 2024
% 0.19/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.03/1.18  % SZS status Started for theBenchmark.p
% 4.03/1.18  % SZS status Theorem for theBenchmark.p
% 4.03/1.18  
% 4.03/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.03/1.18  
% 4.03/1.18  ------  iProver source info
% 4.03/1.18  
% 4.03/1.18  git: date: 2024-05-02 19:28:25 +0000
% 4.03/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.03/1.18  git: non_committed_changes: false
% 4.03/1.18  
% 4.03/1.18  ------ Parsing...
% 4.03/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  ------ 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 
% 4.03/1.18  
% 4.03/1.18  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 4.03/1.18   gs_s  sp: 117 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.03/1.18  ------ Proving...
% 4.03/1.18  ------ Problem Properties 
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  clauses                                 196
% 4.03/1.18  conjectures                             193
% 4.03/1.18  EPR                                     196
% 4.03/1.18  Horn                                    102
% 4.03/1.18  unary                                   0
% 4.03/1.18  binary                                  88
% 4.03/1.18  lits                                    533
% 4.03/1.18  lits eq                                 0
% 4.03/1.18  fd_pure                                 0
% 4.03/1.18  fd_pseudo                               0
% 4.03/1.18  fd_cond                                 0
% 4.03/1.18  fd_pseudo_cond                          0
% 4.03/1.18  AC symbols                              0
% 4.03/1.18  
% 4.03/1.18  ------ Schedule EPR non Horn non eq is on
% 4.03/1.18  
% 4.03/1.18  ------ no equalities: superposition off 
% 4.03/1.18  
% 4.03/1.18  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  ------ 
% 4.03/1.18  Current options:
% 4.03/1.18  ------ 
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  ------ Proving...
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  % SZS status Theorem for theBenchmark.p
% 4.03/1.18  
% 4.03/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.03/1.18  
% 4.03/1.19  
%------------------------------------------------------------------------------