TSTP Solution File: SYN486+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN486+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:07:47 EDT 2023

% Result   : Theorem 3.72s 1.15s
% Output   : CNFRefutation 3.72s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f214)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp16
        | hskp3
        | hskp17 )
      & ( hskp9
        | hskp2
        | hskp24 )
      & ( hskp17
        | hskp26
        | hskp24 )
      & ( hskp22
        | hskp25
        | hskp21 )
      & ( hskp14
        | hskp24
        | hskp13 )
      & ( hskp10
        | hskp0
        | hskp13 )
      & ( hskp16
        | hskp3
        | hskp15 )
      & ( hskp16
        | hskp19
        | hskp5 )
      & ( hskp19
        | hskp2
        | hskp5 )
      & ( hskp23
        | hskp4
        | hskp8 )
      & ( hskp19
        | hskp13
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c1_1(X124) ) ) )
      & ( hskp16
        | hskp27
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c2_1(X123)
              | ~ c1_1(X123) ) ) )
      & ( hskp1
        | hskp11
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c2_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp22
        | hskp27
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) ) )
      & ( hskp22
        | hskp0
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp7
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | ~ c0_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c1_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp10
        | hskp11
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( hskp9
        | hskp29
        | ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | ~ c0_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp10
        | hskp17
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp12
        | ! [X114] :
            ( ndr1_0
           => ( ~ c2_1(X114)
              | ~ c1_1(X114)
              | ~ c0_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp18
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | c3_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp16
        | hskp13
        | ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | c3_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp16
        | hskp20
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp27
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c2_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp16
        | hskp13
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c0_1(X106)
              | c1_1(X106) ) ) )
      & ( hskp22
        | hskp28
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c0_1(X105)
              | c1_1(X105) ) ) )
      & ( hskp10
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c0_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp21
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c0_1(X101)
              | c1_1(X101) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c1_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c3_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | c3_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp0
        | hskp15
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | c3_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp20
        | hskp28
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c3_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp19
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | c3_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp16
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c2_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp1
        | hskp30
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c2_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp2
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | c3_1(X91)
              | c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c2_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp28
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp2
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | ~ c1_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | c0_1(X83) ) ) )
      & ( hskp16
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c0_1(X82)
              | c3_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c0_1(X81) ) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c3_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c1_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | c0_1(X78) ) ) )
      & ( hskp29
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp3
        | hskp15
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c0_1(X72) ) ) )
      & ( hskp27
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | c0_1(X70) ) ) )
      & ( hskp2
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | c3_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp18
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c3_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c1_1(X66)
              | c0_1(X66) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c2_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c0_1(X64)
              | c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | c3_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp17
        | hskp29
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | c3_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp16
        | hskp15
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | c3_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp14
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp11
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | ~ c0_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp13
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c3_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp10
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp12
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp28
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c2_1(X44)
              | ~ c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp11
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c0_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp10
        | hskp9
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c1_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | ~ c0_1(X39)
              | c3_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c1_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp0
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c1_1(X37)
              | c2_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c1_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c2_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c1_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp7
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c1_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp6
        | hskp5
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp4
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c2_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp27
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | ~ c1_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c1_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c1_1(X21)
              | c0_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp3
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp2
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c2_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp1
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c2_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c0_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c2_1(X12)
              | c1_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c3_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp0
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c2_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c2_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2208)
          & c1_1(a2208)
          & c0_1(a2208)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a2196)
          & c2_1(a2196)
          & c1_1(a2196)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a2188)
          & c1_1(a2188)
          & c0_1(a2188)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a2178)
          & c2_1(a2178)
          & c0_1(a2178)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a2268)
          & ~ c0_1(a2268)
          & c1_1(a2268)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a2265)
          & c3_1(a2265)
          & c1_1(a2265)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c0_1(a2262)
          & c3_1(a2262)
          & c1_1(a2262)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a2248)
          & ~ c1_1(a2248)
          & ~ c0_1(a2248)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a2219)
          & ~ c1_1(a2219)
          & c2_1(a2219)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a2216)
          & ~ c2_1(a2216)
          & c0_1(a2216)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a2213)
          & c1_1(a2213)
          & c0_1(a2213)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a2211)
          & ~ c2_1(a2211)
          & ~ c0_1(a2211)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a2198)
          & ~ c1_1(a2198)
          & c0_1(a2198)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a2197)
          & c3_1(a2197)
          & c2_1(a2197)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2195)
          & ~ c2_1(a2195)
          & ~ c1_1(a2195)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a2194)
          & c3_1(a2194)
          & c0_1(a2194)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a2193)
          & ~ c1_1(a2193)
          & c3_1(a2193)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a2191)
          & ~ c1_1(a2191)
          & c0_1(a2191)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a2189)
          & ~ c2_1(a2189)
          & c1_1(a2189)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a2187)
          & c2_1(a2187)
          & c0_1(a2187)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a2186)
          & ~ c0_1(a2186)
          & c3_1(a2186)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a2185)
          & ~ c0_1(a2185)
          & c2_1(a2185)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a2184)
          & c1_1(a2184)
          & c0_1(a2184)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a2182)
          & c3_1(a2182)
          & c2_1(a2182)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a2181)
          & c2_1(a2181)
          & c1_1(a2181)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c1_1(a2180)
          & c3_1(a2180)
          & c0_1(a2180)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a2179)
          & c2_1(a2179)
          & c0_1(a2179)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2177)
          & ~ c1_1(a2177)
          & ~ c0_1(a2177)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2176)
          & ~ c0_1(a2176)
          & c1_1(a2176)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2175)
          & ~ c0_1(a2175)
          & c2_1(a2175)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a2174)
          & c2_1(a2174)
          & c1_1(a2174)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp16
          | hskp3
          | hskp17 )
        & ( hskp9
          | hskp2
          | hskp24 )
        & ( hskp17
          | hskp26
          | hskp24 )
        & ( hskp22
          | hskp25
          | hskp21 )
        & ( hskp14
          | hskp24
          | hskp13 )
        & ( hskp10
          | hskp0
          | hskp13 )
        & ( hskp16
          | hskp3
          | hskp15 )
        & ( hskp16
          | hskp19
          | hskp5 )
        & ( hskp19
          | hskp2
          | hskp5 )
        & ( hskp23
          | hskp4
          | hskp8 )
        & ( hskp19
          | hskp13
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c1_1(X124) ) ) )
        & ( hskp16
          | hskp27
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c2_1(X123)
                | ~ c1_1(X123) ) ) )
        & ( hskp1
          | hskp11
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp22
          | hskp27
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( hskp22
          | hskp0
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp7
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | ~ c0_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c1_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp10
          | hskp11
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( hskp9
          | hskp29
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c0_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp10
          | hskp17
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp12
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c1_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp18
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c3_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp16
          | hskp13
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp16
          | hskp20
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp27
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp16
          | hskp13
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | c1_1(X106) ) ) )
        & ( hskp22
          | hskp28
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c0_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp10
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c0_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp21
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c0_1(X101)
                | c1_1(X101) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c1_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c3_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp0
          | hskp15
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c3_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp20
          | hskp28
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp19
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp16
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c2_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp1
          | hskp30
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp2
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp28
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp2
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp16
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c1_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp29
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp3
          | hskp15
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp27
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp2
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp18
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c0_1(X64)
                | c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp17
          | hskp29
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | hskp15
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp11
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c3_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp10
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp12
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp28
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp11
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp10
          | hskp9
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c1_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp0
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c2_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c1_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c1_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp7
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c1_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp6
          | hskp5
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp4
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp27
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c1_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp3
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp2
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp1
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c0_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c2_1(X12)
                | c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp0
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2208)
            & c1_1(a2208)
            & c0_1(a2208)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2196)
            & c2_1(a2196)
            & c1_1(a2196)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2188)
            & c1_1(a2188)
            & c0_1(a2188)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2178)
            & c2_1(a2178)
            & c0_1(a2178)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a2268)
            & ~ c0_1(a2268)
            & c1_1(a2268)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2265)
            & c3_1(a2265)
            & c1_1(a2265)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a2262)
            & c3_1(a2262)
            & c1_1(a2262)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2248)
            & ~ c1_1(a2248)
            & ~ c0_1(a2248)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2219)
            & ~ c1_1(a2219)
            & c2_1(a2219)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2216)
            & ~ c2_1(a2216)
            & c0_1(a2216)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a2213)
            & c1_1(a2213)
            & c0_1(a2213)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2211)
            & ~ c2_1(a2211)
            & ~ c0_1(a2211)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2198)
            & ~ c1_1(a2198)
            & c0_1(a2198)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2197)
            & c3_1(a2197)
            & c2_1(a2197)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2195)
            & ~ c2_1(a2195)
            & ~ c1_1(a2195)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2194)
            & c3_1(a2194)
            & c0_1(a2194)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2193)
            & ~ c1_1(a2193)
            & c3_1(a2193)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2191)
            & ~ c1_1(a2191)
            & c0_1(a2191)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2189)
            & ~ c2_1(a2189)
            & c1_1(a2189)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a2187)
            & c2_1(a2187)
            & c0_1(a2187)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a2186)
            & ~ c0_1(a2186)
            & c3_1(a2186)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2185)
            & ~ c0_1(a2185)
            & c2_1(a2185)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a2184)
            & c1_1(a2184)
            & c0_1(a2184)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a2182)
            & c3_1(a2182)
            & c2_1(a2182)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2181)
            & c2_1(a2181)
            & c1_1(a2181)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a2180)
            & c3_1(a2180)
            & c0_1(a2180)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a2179)
            & c2_1(a2179)
            & c0_1(a2179)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2177)
            & ~ c1_1(a2177)
            & ~ c0_1(a2177)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2176)
            & ~ c0_1(a2176)
            & c1_1(a2176)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2175)
            & ~ c0_1(a2175)
            & c2_1(a2175)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a2174)
            & c2_1(a2174)
            & c1_1(a2174)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp16
          | hskp3
          | hskp17 )
        & ( hskp9
          | hskp2
          | hskp24 )
        & ( hskp17
          | hskp26
          | hskp24 )
        & ( hskp22
          | hskp25
          | hskp21 )
        & ( hskp14
          | hskp24
          | hskp13 )
        & ( hskp10
          | hskp0
          | hskp13 )
        & ( hskp16
          | hskp3
          | hskp15 )
        & ( hskp16
          | hskp19
          | hskp5 )
        & ( hskp19
          | hskp2
          | hskp5 )
        & ( hskp23
          | hskp4
          | hskp8 )
        & ( hskp19
          | hskp13
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp16
          | hskp27
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp1
          | hskp11
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp22
          | hskp27
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp22
          | hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp7
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c2_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp10
          | hskp11
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp9
          | hskp29
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp10
          | hskp17
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp12
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | ~ c0_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp18
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp16
          | hskp13
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp16
          | hskp20
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp27
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp16
          | hskp13
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp22
          | hskp28
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp10
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp21
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp0
          | hskp15
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp20
          | hskp28
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp19
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp16
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp1
          | hskp30
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp2
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp28
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp2
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp16
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp29
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp3
          | hskp15
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp27
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp2
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c0_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c0_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp17
          | hskp29
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | hskp15
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp14
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp11
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c0_1(X72)
                | c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp13
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp10
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp12
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp28
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp11
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp10
          | hskp9
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp8
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp0
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp7
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp6
          | hskp5
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp4
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp27
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c1_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | c0_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp3
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | c2_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp2
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp1
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c2_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c0_1(X111)
                | c1_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c2_1(X112)
                | c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c1_1(X114)
                | c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c3_1(X115)
                | c0_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( hskp0
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | c1_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | c3_1(X119)
                | c2_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c0_1(X120)
                | c1_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( c2_1(X121)
                | c1_1(X121)
                | c0_1(X121) ) ) )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | c0_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | c3_1(X123)
                | c0_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( c2_1(X124)
                | c1_1(X124)
                | c0_1(X124) ) ) )
        & ( ( c3_1(a2208)
            & c1_1(a2208)
            & c0_1(a2208)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2196)
            & c2_1(a2196)
            & c1_1(a2196)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2188)
            & c1_1(a2188)
            & c0_1(a2188)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2178)
            & c2_1(a2178)
            & c0_1(a2178)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a2268)
            & ~ c0_1(a2268)
            & c1_1(a2268)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2265)
            & c3_1(a2265)
            & c1_1(a2265)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a2262)
            & c3_1(a2262)
            & c1_1(a2262)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2248)
            & ~ c1_1(a2248)
            & ~ c0_1(a2248)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2219)
            & ~ c1_1(a2219)
            & c2_1(a2219)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2216)
            & ~ c2_1(a2216)
            & c0_1(a2216)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a2213)
            & c1_1(a2213)
            & c0_1(a2213)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2211)
            & ~ c2_1(a2211)
            & ~ c0_1(a2211)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2198)
            & ~ c1_1(a2198)
            & c0_1(a2198)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2197)
            & c3_1(a2197)
            & c2_1(a2197)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2195)
            & ~ c2_1(a2195)
            & ~ c1_1(a2195)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2194)
            & c3_1(a2194)
            & c0_1(a2194)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2193)
            & ~ c1_1(a2193)
            & c3_1(a2193)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2191)
            & ~ c1_1(a2191)
            & c0_1(a2191)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2189)
            & ~ c2_1(a2189)
            & c1_1(a2189)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a2187)
            & c2_1(a2187)
            & c0_1(a2187)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a2186)
            & ~ c0_1(a2186)
            & c3_1(a2186)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2185)
            & ~ c0_1(a2185)
            & c2_1(a2185)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a2184)
            & c1_1(a2184)
            & c0_1(a2184)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a2182)
            & c3_1(a2182)
            & c2_1(a2182)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2181)
            & c2_1(a2181)
            & c1_1(a2181)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a2180)
            & c3_1(a2180)
            & c0_1(a2180)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a2179)
            & c2_1(a2179)
            & c0_1(a2179)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2177)
            & ~ c1_1(a2177)
            & ~ c0_1(a2177)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2176)
            & ~ c0_1(a2176)
            & c1_1(a2176)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2175)
            & ~ c0_1(a2175)
            & c2_1(a2175)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a2174)
            & c2_1(a2174)
            & c1_1(a2174)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp16
      | hskp3
      | hskp17 )
    & ( hskp9
      | hskp2
      | hskp24 )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( hskp22
      | hskp25
      | hskp21 )
    & ( hskp14
      | hskp24
      | hskp13 )
    & ( hskp10
      | hskp0
      | hskp13 )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( hskp16
      | hskp19
      | hskp5 )
    & ( hskp19
      | hskp2
      | hskp5 )
    & ( hskp23
      | hskp4
      | hskp8 )
    & ( hskp19
      | hskp13
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp16
      | hskp27
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp1
      | hskp11
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp22
      | hskp27
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp22
      | hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp7
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c2_1(X5)
            | ~ c0_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp10
      | hskp11
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp9
      | hskp29
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp10
      | hskp17
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp12
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | ~ c0_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp18
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp16
      | hskp13
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp16
      | hskp20
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp27
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | ~ c0_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp16
      | hskp13
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp22
      | hskp28
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp10
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp21
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c1_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp0
      | hskp15
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp20
      | hskp28
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp19
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp16
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp1
      | hskp30
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c2_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp2
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp28
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp2
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c2_1(X40)
            | ~ c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp16
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c0_1(X42)
            | c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c3_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp29
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c0_1(X49)
            | c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp3
      | hskp15
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp27
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp2
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | c3_1(X55)
            | c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp18
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c3_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c0_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c0_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp17
      | hskp29
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp16
      | hskp15
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp14
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c3_1(X64)
            | c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c0_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | ~ c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c0_1(X70)
            | c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp11
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | ~ c0_1(X72)
            | c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp13
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c3_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp10
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | c3_1(X76)
            | c1_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp12
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp28
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c2_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp11
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp10
      | hskp9
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp8
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp0
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c1_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c1_1(X90)
            | c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp7
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c3_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c3_1(X94)
            | c2_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | c3_1(X95)
            | c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp6
      | hskp5
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp4
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | ~ c1_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp27
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | ~ c1_1(X100)
            | c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c1_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c1_1(X103)
            | c0_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp3
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | c2_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp2
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c2_1(X107)
            | ~ c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp1
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c2_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | ~ c0_1(X111)
            | c1_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c2_1(X112)
            | c1_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c1_1(X114)
            | c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | c3_1(X115)
            | c0_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( hskp0
      | ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c2_1(X117)
            | c1_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( ! [X119] :
          ( ndr1_0
         => ( ~ c1_1(X119)
            | c3_1(X119)
            | c2_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( ~ c3_1(X120)
            | ~ c0_1(X120)
            | c1_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( c2_1(X121)
            | c1_1(X121)
            | c0_1(X121) ) ) )
    & ( ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | ~ c2_1(X122)
            | c0_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( ~ c2_1(X123)
            | c3_1(X123)
            | c0_1(X123) ) )
      | ! [X124] :
          ( ndr1_0
         => ( c2_1(X124)
            | c1_1(X124)
            | c0_1(X124) ) ) )
    & ( ( c3_1(a2208)
        & c1_1(a2208)
        & c0_1(a2208)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2196)
        & c2_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2188)
        & c1_1(a2188)
        & c0_1(a2188)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2178)
        & c2_1(a2178)
        & c0_1(a2178)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2268)
        & ~ c0_1(a2268)
        & c1_1(a2268)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2265)
        & c3_1(a2265)
        & c1_1(a2265)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a2262)
        & c3_1(a2262)
        & c1_1(a2262)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2219)
        & ~ c1_1(a2219)
        & c2_1(a2219)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & c0_1(a2216)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2213)
        & c1_1(a2213)
        & c0_1(a2213)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2211)
        & ~ c2_1(a2211)
        & ~ c0_1(a2211)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2197)
        & c3_1(a2197)
        & c2_1(a2197)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2195)
        & ~ c2_1(a2195)
        & ~ c1_1(a2195)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2194)
        & c3_1(a2194)
        & c0_1(a2194)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2193)
        & ~ c1_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2191)
        & ~ c1_1(a2191)
        & c0_1(a2191)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2189)
        & ~ c2_1(a2189)
        & c1_1(a2189)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a2187)
        & c2_1(a2187)
        & c0_1(a2187)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2186)
        & ~ c0_1(a2186)
        & c3_1(a2186)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2185)
        & ~ c0_1(a2185)
        & c2_1(a2185)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2184)
        & c1_1(a2184)
        & c0_1(a2184)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a2182)
        & c3_1(a2182)
        & c2_1(a2182)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2181)
        & c2_1(a2181)
        & c1_1(a2181)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a2180)
        & c3_1(a2180)
        & c0_1(a2180)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2179)
        & c2_1(a2179)
        & c0_1(a2179)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ~ c0_1(a2177)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2176)
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2175)
        & ~ c0_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2174)
        & c2_1(a2174)
        & c1_1(a2174)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp16
      | hskp3
      | hskp17 )
    & ( hskp9
      | hskp2
      | hskp24 )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( hskp22
      | hskp25
      | hskp21 )
    & ( hskp14
      | hskp24
      | hskp13 )
    & ( hskp10
      | hskp0
      | hskp13 )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( hskp16
      | hskp19
      | hskp5 )
    & ( hskp19
      | hskp2
      | hskp5 )
    & ( hskp23
      | hskp4
      | hskp8 )
    & ( hskp19
      | hskp13
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp11
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp27
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp0
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp17
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp20
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp28
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp28
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c0_1(X44)
          | c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp15
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X55] :
          ( ~ c1_1(X55)
          | c3_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp29
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X74] :
          ( ~ c0_1(X74)
          | c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c2_1(X76)
          | c3_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c1_1(X95)
          | c3_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c3_1(X102)
          | ~ c1_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X105] :
          ( ~ c1_1(X105)
          | c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c2_1(X111)
          | ~ c0_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c3_1(X114)
          | ~ c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c2_1(X115)
          | c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c2_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ! [X119] :
          ( ~ c1_1(X119)
          | c3_1(X119)
          | c2_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ c3_1(X120)
          | ~ c0_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( ! [X122] :
          ( ~ c3_1(X122)
          | ~ c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c2_1(X123)
          | c3_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c2_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2208)
        & c1_1(a2208)
        & c0_1(a2208)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2196)
        & c2_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2188)
        & c1_1(a2188)
        & c0_1(a2188)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2178)
        & c2_1(a2178)
        & c0_1(a2178)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2268)
        & ~ c0_1(a2268)
        & c1_1(a2268)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2265)
        & c3_1(a2265)
        & c1_1(a2265)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a2262)
        & c3_1(a2262)
        & c1_1(a2262)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2219)
        & ~ c1_1(a2219)
        & c2_1(a2219)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & c0_1(a2216)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2213)
        & c1_1(a2213)
        & c0_1(a2213)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2211)
        & ~ c2_1(a2211)
        & ~ c0_1(a2211)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2197)
        & c3_1(a2197)
        & c2_1(a2197)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2195)
        & ~ c2_1(a2195)
        & ~ c1_1(a2195)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2194)
        & c3_1(a2194)
        & c0_1(a2194)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2193)
        & ~ c1_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2191)
        & ~ c1_1(a2191)
        & c0_1(a2191)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2189)
        & ~ c2_1(a2189)
        & c1_1(a2189)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a2187)
        & c2_1(a2187)
        & c0_1(a2187)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2186)
        & ~ c0_1(a2186)
        & c3_1(a2186)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2185)
        & ~ c0_1(a2185)
        & c2_1(a2185)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2184)
        & c1_1(a2184)
        & c0_1(a2184)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a2182)
        & c3_1(a2182)
        & c2_1(a2182)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2181)
        & c2_1(a2181)
        & c1_1(a2181)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a2180)
        & c3_1(a2180)
        & c0_1(a2180)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2179)
        & c2_1(a2179)
        & c0_1(a2179)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ~ c0_1(a2177)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2176)
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2175)
        & ~ c0_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2174)
        & c2_1(a2174)
        & c1_1(a2174)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp16
      | hskp3
      | hskp17 )
    & ( hskp9
      | hskp2
      | hskp24 )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( hskp22
      | hskp25
      | hskp21 )
    & ( hskp14
      | hskp24
      | hskp13 )
    & ( hskp10
      | hskp0
      | hskp13 )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( hskp16
      | hskp19
      | hskp5 )
    & ( hskp19
      | hskp2
      | hskp5 )
    & ( hskp23
      | hskp4
      | hskp8 )
    & ( hskp19
      | hskp13
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp11
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp27
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp0
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp17
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp20
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp28
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp28
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c0_1(X44)
          | c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp15
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X55] :
          ( ~ c1_1(X55)
          | c3_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp29
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X74] :
          ( ~ c0_1(X74)
          | c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c2_1(X76)
          | c3_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c1_1(X95)
          | c3_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c3_1(X102)
          | ~ c1_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X105] :
          ( ~ c1_1(X105)
          | c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c2_1(X111)
          | ~ c0_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c3_1(X114)
          | ~ c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c2_1(X115)
          | c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c2_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ! [X119] :
          ( ~ c1_1(X119)
          | c3_1(X119)
          | c2_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ c3_1(X120)
          | ~ c0_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( ! [X122] :
          ( ~ c3_1(X122)
          | ~ c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c2_1(X123)
          | c3_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c2_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2208)
        & c1_1(a2208)
        & c0_1(a2208)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2196)
        & c2_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2188)
        & c1_1(a2188)
        & c0_1(a2188)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2178)
        & c2_1(a2178)
        & c0_1(a2178)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2268)
        & ~ c0_1(a2268)
        & c1_1(a2268)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2265)
        & c3_1(a2265)
        & c1_1(a2265)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a2262)
        & c3_1(a2262)
        & c1_1(a2262)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2219)
        & ~ c1_1(a2219)
        & c2_1(a2219)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & c0_1(a2216)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2213)
        & c1_1(a2213)
        & c0_1(a2213)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2211)
        & ~ c2_1(a2211)
        & ~ c0_1(a2211)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2197)
        & c3_1(a2197)
        & c2_1(a2197)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2195)
        & ~ c2_1(a2195)
        & ~ c1_1(a2195)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2194)
        & c3_1(a2194)
        & c0_1(a2194)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2193)
        & ~ c1_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2191)
        & ~ c1_1(a2191)
        & c0_1(a2191)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2189)
        & ~ c2_1(a2189)
        & c1_1(a2189)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a2187)
        & c2_1(a2187)
        & c0_1(a2187)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2186)
        & ~ c0_1(a2186)
        & c3_1(a2186)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2185)
        & ~ c0_1(a2185)
        & c2_1(a2185)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2184)
        & c1_1(a2184)
        & c0_1(a2184)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a2182)
        & c3_1(a2182)
        & c2_1(a2182)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2181)
        & c2_1(a2181)
        & c1_1(a2181)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a2180)
        & c3_1(a2180)
        & c0_1(a2180)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2179)
        & c2_1(a2179)
        & c0_1(a2179)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ~ c0_1(a2177)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2176)
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2175)
        & ~ c0_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2174)
        & c2_1(a2174)
        & c1_1(a2174)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c1_1(a2174)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c2_1(a2174)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c0_1(a2174)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c1_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c0_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c3_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f19,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( ~ c0_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( ~ c1_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c3_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c2_1(a2182)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( c3_1(a2182)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c0_1(a2182)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c2_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( ~ c0_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c1_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c3_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( ~ c0_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c1_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c0_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( ~ c1_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c3_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c3_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( ~ c1_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c2_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f67,plain,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c0_1(a2194)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( c3_1(a2194)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c2_1(a2194)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f71,plain,
    ( ndr1_0
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( ~ c1_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( ~ c2_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f74,plain,
    ( ~ c3_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c2_1(a2197)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( c3_1(a2197)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c1_1(a2197)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( ~ c0_1(a2211)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( ~ c2_1(a2211)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c3_1(a2211)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c1_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( c3_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c0_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f112,plain,
    ( c1_1(a2268)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( ~ c0_1(a2268)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( ~ c2_1(a2268)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c0_1(a2178)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( c3_1(a2178)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c0_1(a2188)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c1_1(a2188)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c2_1(a2188)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f124,plain,
    ( c1_1(a2196)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f125,plain,
    ( c2_1(a2196)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f126,plain,
    ( c3_1(a2196)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f158,plain,
    ! [X63] :
      ( hskp16
      | hskp15
      | ~ c1_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f159,plain,
    ! [X62] :
      ( hskp17
      | hskp29
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f164,plain,
    ! [X52] :
      ( hskp3
      | hskp15
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f174,plain,
    ! [X31] :
      ( hskp16
      | ~ c0_1(X31)
      | c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f177,plain,
    ! [X27] :
      ( hskp0
      | hskp15
      | ~ c0_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f182,plain,
    ! [X18] :
      ( hskp16
      | hskp13
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | c1_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f188,plain,
    ! [X9] :
      ( hskp10
      | hskp17
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f189,plain,
    ! [X8] :
      ( hskp9
      | hskp29
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f196,plain,
    ! [X0] :
      ( hskp19
      | hskp13
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f200,plain,
    ( hskp16
    | hskp3
    | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f201,plain,
    ( hskp10
    | hskp0
    | hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f202,plain,
    ( hskp14
    | hskp24
    | hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f204,plain,
    ( hskp17
    | hskp26
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f205,plain,
    ( hskp9
    | hskp2
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f206,plain,
    ( hskp16
    | hskp3
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp16
    | hskp3
    | hskp17 ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_50,negated_conjecture,
    ( hskp9
    | hskp2
    | hskp24 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_51,negated_conjecture,
    ( hskp17
    | hskp24
    | hskp26 ),
    inference(cnf_transformation,[],[f204]) ).

cnf(c_53,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp13 ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_54,negated_conjecture,
    ( hskp13
    | hskp10
    | hskp0 ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_55,negated_conjecture,
    ( hskp16
    | hskp3
    | hskp15 ),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_59,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp13
    | hskp19 ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_64,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_66,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp9
    | hskp29 ),
    inference(cnf_transformation,[],[f189]) ).

cnf(c_67,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp17
    | hskp10 ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_68,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp12 ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_73,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp16
    | hskp13 ),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_75,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_77,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_78,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp0
    | hskp15 ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_80,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_81,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp16 ),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_83,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_84,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_85,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp28 ),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_86,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_88,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp29 ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_90,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_91,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp3
    | hskp15 ),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_92,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_95,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_96,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp29 ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_97,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp16
    | hskp15 ),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_98,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp14 ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_99,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_100,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_109,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_110,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_111,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f239]) ).

cnf(c_112,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f240]) ).

cnf(c_115,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(cnf_transformation,[],[f242]) ).

cnf(c_116,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f243]) ).

cnf(c_118,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f245]) ).

cnf(c_121,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f248]) ).

cnf(c_122,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f249]) ).

cnf(c_123,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f250]) ).

cnf(c_124,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f251]) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp29
    | c3_1(a2196) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp29
    | c2_1(a2196) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp29
    | c1_1(a2196) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp28
    | c2_1(a2188) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp28
    | c1_1(a2188) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp28
    | c0_1(a2188) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp27
    | c3_1(a2178) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp27
    | c0_1(a2178) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_141,negated_conjecture,
    ( ~ c2_1(a2268)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_142,negated_conjecture,
    ( ~ c0_1(a2268)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp26
    | c1_1(a2268) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_149,negated_conjecture,
    ( ~ c0_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_150,negated_conjecture,
    ( ~ hskp24
    | c3_1(a2262) ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_151,negated_conjecture,
    ( ~ hskp24
    | c1_1(a2262) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_169,negated_conjecture,
    ( ~ c3_1(a2211)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_170,negated_conjecture,
    ( ~ c2_1(a2211)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_171,negated_conjecture,
    ( ~ c0_1(a2211)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_177,negated_conjecture,
    ( ~ c1_1(a2197)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_178,negated_conjecture,
    ( ~ hskp17
    | c3_1(a2197) ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp17
    | c2_1(a2197) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_181,negated_conjecture,
    ( ~ c3_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_182,negated_conjecture,
    ( ~ c2_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_183,negated_conjecture,
    ( ~ c1_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_184,negated_conjecture,
    ( ~ hskp16
    | ndr1_0 ),
    inference(cnf_transformation,[],[f71]) ).

cnf(c_185,negated_conjecture,
    ( ~ c2_1(a2194)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_186,negated_conjecture,
    ( ~ hskp15
    | c3_1(a2194) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp15
    | c0_1(a2194) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_188,negated_conjecture,
    ( ~ hskp15
    | ndr1_0 ),
    inference(cnf_transformation,[],[f67]) ).

cnf(c_189,negated_conjecture,
    ( ~ c2_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_190,negated_conjecture,
    ( ~ c1_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp14
    | c3_1(a2193) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_193,negated_conjecture,
    ( ~ c3_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_194,negated_conjecture,
    ( ~ c1_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp13
    | c0_1(a2191) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_205,negated_conjecture,
    ( ~ c1_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_206,negated_conjecture,
    ( ~ c0_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp10
    | c3_1(a2186) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_209,negated_conjecture,
    ( ~ c1_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_210,negated_conjecture,
    ( ~ c0_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_211,negated_conjecture,
    ( ~ hskp9
    | c2_1(a2185) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_217,negated_conjecture,
    ( ~ c0_1(a2182)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_218,negated_conjecture,
    ( ~ hskp7
    | c3_1(a2182) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_219,negated_conjecture,
    ( ~ hskp7
    | c2_1(a2182) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_233,negated_conjecture,
    ( ~ c3_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_234,negated_conjecture,
    ( ~ c1_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_235,negated_conjecture,
    ( ~ c0_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_236,negated_conjecture,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_237,negated_conjecture,
    ( ~ c3_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_238,negated_conjecture,
    ( ~ c0_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_239,negated_conjecture,
    ( ~ hskp2
    | c1_1(a2176) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_245,negated_conjecture,
    ( ~ c0_1(a2174)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_246,negated_conjecture,
    ( ~ hskp0
    | c2_1(a2174) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_247,negated_conjecture,
    ( ~ hskp0
    | c1_1(a2174) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_248,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_278,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_248,c_236,c_188,c_184,c_55]) ).

cnf(c_340,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_236,c_188,c_184,c_55,c_81]) ).

cnf(c_349,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp16
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_236,c_188,c_184,c_55,c_97]) ).

cnf(c_352,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_236,c_188,c_184,c_55,c_96]) ).

cnf(c_361,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp0
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_236,c_188,c_184,c_55,c_78]) ).

cnf(c_370,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp3
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_236,c_188,c_184,c_55,c_91]) ).

cnf(c_371,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp3
    | hskp15 ),
    inference(renaming,[status(thm)],[c_370]) ).

cnf(c_376,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp16
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_236,c_188,c_184,c_55,c_73]) ).

cnf(c_377,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp16
    | hskp13 ),
    inference(renaming,[status(thm)],[c_376]) ).

cnf(c_379,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp17
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_236,c_188,c_184,c_55,c_67]) ).

cnf(c_380,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp17
    | hskp10 ),
    inference(renaming,[status(thm)],[c_379]) ).

cnf(c_382,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp9
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_236,c_188,c_184,c_55,c_66]) ).

cnf(c_383,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp9
    | hskp29 ),
    inference(renaming,[status(thm)],[c_382]) ).

cnf(c_400,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp13
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_236,c_188,c_184,c_55,c_59]) ).

cnf(c_401,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | hskp13
    | hskp19 ),
    inference(renaming,[status(thm)],[c_400]) ).

cnf(c_403,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_236,c_188,c_184,c_55,c_85]) ).

cnf(c_406,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_122,c_236,c_188,c_184,c_55,c_122]) ).

cnf(c_407,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_406]) ).

cnf(c_412,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_236,c_188,c_184,c_55,c_111]) ).

cnf(c_413,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_412]) ).

cnf(c_420,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_236,c_188,c_184,c_55,c_98]) ).

cnf(c_421,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp14 ),
    inference(renaming,[status(thm)],[c_420]) ).

cnf(c_423,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_236,c_188,c_184,c_55,c_83]) ).

cnf(c_424,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_423]) ).

cnf(c_425,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_236,c_188,c_184,c_55,c_118]) ).

cnf(c_426,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_425]) ).

cnf(c_427,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_115,c_236,c_188,c_184,c_55,c_115]) ).

cnf(c_428,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(renaming,[status(thm)],[c_427]) ).

cnf(c_429,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_236,c_188,c_184,c_55,c_109]) ).

cnf(c_430,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_429]) ).

cnf(c_443,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_236,c_188,c_184,c_55,c_89]) ).

cnf(c_444,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp29 ),
    inference(renaming,[status(thm)],[c_443]) ).

cnf(c_445,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_80,c_278]) ).

cnf(c_446,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_445]) ).

cnf(c_450,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_236,c_188,c_184,c_55,c_92]) ).

cnf(c_451,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(renaming,[status(thm)],[c_450]) ).

cnf(c_457,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_236,c_188,c_184,c_55,c_75]) ).

cnf(c_458,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_457]) ).

cnf(c_463,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_236,c_188,c_184,c_55,c_86]) ).

cnf(c_464,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_463]) ).

cnf(c_469,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_236,c_188,c_184,c_55,c_68]) ).

cnf(c_470,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_469]) ).

cnf(c_471,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_236,c_188,c_184,c_55,c_64]) ).

cnf(c_472,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_471]) ).

cnf(c_475,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_124,c_236,c_188,c_184,c_55,c_124]) ).

cnf(c_476,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_475]) ).

cnf(c_477,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_123,c_236,c_188,c_184,c_55,c_123]) ).

cnf(c_478,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_477]) ).

cnf(c_479,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_236,c_188,c_184,c_55,c_121]) ).

cnf(c_480,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_479]) ).

cnf(c_481,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_112,c_236,c_188,c_184,c_55,c_112]) ).

cnf(c_482,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_481]) ).

cnf(c_483,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_110,c_236,c_188,c_184,c_55,c_110]) ).

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

cnf(c_485,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_236,c_188,c_184,c_55,c_99]) ).

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

cnf(c_487,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_236,c_188,c_184,c_55,c_95]) ).

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

cnf(c_489,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_236,c_188,c_184,c_55,c_90]) ).

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

cnf(c_491,plain,
    ( ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_236,c_188,c_184,c_55,c_88]) ).

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

cnf(c_493,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_236,c_188,c_184,c_55,c_84]) ).

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

cnf(c_495,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_116,c_236,c_188,c_184,c_55,c_116]) ).

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

cnf(c_497,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_236,c_188,c_184,c_55,c_100]) ).

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

cnf(c_499,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_77,c_236,c_188,c_184,c_55,c_77]) ).

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

cnf(c_1829,plain,
    ( c1_1(a2268)
    | hskp17
    | hskp24 ),
    inference(resolution,[status(thm)],[c_51,c_143]) ).

cnf(c_1839,plain,
    ( ~ c0_1(a2268)
    | hskp17
    | hskp24 ),
    inference(resolution,[status(thm)],[c_51,c_142]) ).

cnf(c_1849,plain,
    ( ~ c2_1(a2268)
    | hskp17
    | hskp24 ),
    inference(resolution,[status(thm)],[c_51,c_141]) ).

cnf(c_2157,plain,
    ( ~ c1_1(a2193)
    | hskp24
    | hskp13 ),
    inference(resolution,[status(thm)],[c_53,c_190]) ).

cnf(c_2167,plain,
    ( ~ c2_1(a2193)
    | hskp24
    | hskp13 ),
    inference(resolution,[status(thm)],[c_53,c_189]) ).

cnf(c_3179,plain,
    ( ~ c2_1(a2268)
    | c1_1(a2262)
    | hskp17 ),
    inference(resolution,[status(thm)],[c_1849,c_151]) ).

cnf(c_3189,plain,
    ( ~ c2_1(a2268)
    | c3_1(a2262)
    | hskp17 ),
    inference(resolution,[status(thm)],[c_1849,c_150]) ).

cnf(c_3209,plain,
    ( ~ c0_1(a2268)
    | c1_1(a2262)
    | hskp17 ),
    inference(resolution,[status(thm)],[c_1839,c_151]) ).

cnf(c_3219,plain,
    ( ~ c0_1(a2268)
    | c3_1(a2262)
    | hskp17 ),
    inference(resolution,[status(thm)],[c_1839,c_150]) ).

cnf(c_3239,plain,
    ( c1_1(a2268)
    | c1_1(a2262)
    | hskp17 ),
    inference(resolution,[status(thm)],[c_1829,c_151]) ).

cnf(c_3249,plain,
    ( c3_1(a2262)
    | c1_1(a2268)
    | hskp17 ),
    inference(resolution,[status(thm)],[c_1829,c_150]) ).

cnf(c_3269,plain,
    ( c1_1(a2262)
    | hskp14
    | hskp13 ),
    inference(resolution,[status(thm)],[c_53,c_151]) ).

cnf(c_3279,plain,
    ( c3_1(a2262)
    | hskp14
    | hskp13 ),
    inference(resolution,[status(thm)],[c_53,c_150]) ).

cnf(c_3299,plain,
    ( c1_1(a2262)
    | hskp9
    | hskp2 ),
    inference(resolution,[status(thm)],[c_50,c_151]) ).

cnf(c_3309,plain,
    ( c3_1(a2262)
    | hskp9
    | hskp2 ),
    inference(resolution,[status(thm)],[c_50,c_150]) ).

cnf(c_3319,plain,
    ( ~ c0_1(a2262)
    | hskp9
    | hskp2 ),
    inference(resolution,[status(thm)],[c_50,c_149]) ).

cnf(c_4493,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(a2177)
    | c0_1(X0)
    | hskp15 ),
    inference(resolution,[status(thm)],[c_371,c_235]) ).

cnf(c_4494,plain,
    ( ~ c2_1(a2174)
    | ~ c1_1(a2174)
    | ~ c0_1(a2177)
    | c0_1(a2174)
    | hskp15 ),
    inference(instantiation,[status(thm)],[c_4493]) ).

cnf(c_4510,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(a2177)
    | c0_1(X0)
    | hskp15 ),
    inference(resolution,[status(thm)],[c_371,c_234]) ).

cnf(c_4511,plain,
    ( ~ c2_1(a2174)
    | ~ c1_1(a2177)
    | ~ c1_1(a2174)
    | c0_1(a2174)
    | hskp15 ),
    inference(instantiation,[status(thm)],[c_4510]) ).

cnf(c_4527,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(a2177)
    | c0_1(X0)
    | hskp15 ),
    inference(resolution,[status(thm)],[c_371,c_233]) ).

cnf(c_4528,plain,
    ( ~ c3_1(a2177)
    | ~ c2_1(a2174)
    | ~ c1_1(a2174)
    | c0_1(a2174)
    | hskp15 ),
    inference(instantiation,[status(thm)],[c_4527]) ).

cnf(c_4574,plain,
    ( ~ c0_1(a2177)
    | hskp16
    | hskp17 ),
    inference(resolution,[status(thm)],[c_49,c_235]) ).

cnf(c_4584,plain,
    ( ~ c1_1(a2177)
    | hskp16
    | hskp17 ),
    inference(resolution,[status(thm)],[c_49,c_234]) ).

cnf(c_4594,plain,
    ( ~ c3_1(a2177)
    | hskp16
    | hskp17 ),
    inference(resolution,[status(thm)],[c_49,c_233]) ).

cnf(c_7736,plain,
    ( c3_1(a2186)
    | hskp13
    | hskp0 ),
    inference(resolution,[status(thm)],[c_54,c_207]) ).

cnf(c_7746,plain,
    ( ~ c0_1(a2186)
    | hskp13
    | hskp0 ),
    inference(resolution,[status(thm)],[c_54,c_206]) ).

cnf(c_7756,plain,
    ( ~ c1_1(a2186)
    | hskp13
    | hskp0 ),
    inference(resolution,[status(thm)],[c_54,c_205]) ).

cnf(c_7862,plain,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c0_1(X0)
    | c1_1(a2176) ),
    inference(resolution,[status(thm)],[c_464,c_239]) ).

cnf(c_7863,plain,
    ( ~ c3_1(a2174)
    | ~ c2_1(a2174)
    | ~ c1_1(a2174)
    | c1_1(a2176)
    | c0_1(a2174) ),
    inference(instantiation,[status(thm)],[c_7862]) ).

cnf(c_7885,plain,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(a2176)
    | c0_1(X0) ),
    inference(resolution,[status(thm)],[c_464,c_238]) ).

cnf(c_7886,plain,
    ( ~ c3_1(a2174)
    | ~ c2_1(a2174)
    | ~ c1_1(a2174)
    | ~ c0_1(a2176)
    | c0_1(a2174) ),
    inference(instantiation,[status(thm)],[c_7885]) ).

cnf(c_7908,plain,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(a2176)
    | c0_1(X0) ),
    inference(resolution,[status(thm)],[c_464,c_237]) ).

cnf(c_7909,plain,
    ( ~ c3_1(a2176)
    | ~ c3_1(a2174)
    | ~ c2_1(a2174)
    | ~ c1_1(a2174)
    | c0_1(a2174) ),
    inference(instantiation,[status(thm)],[c_7908]) ).

cnf(c_16994,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_500]) ).

cnf(c_16995,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_500]) ).

cnf(c_16996,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_500]) ).

cnf(c_16998,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_498]) ).

cnf(c_16999,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_498]) ).

cnf(c_17000,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_498]) ).

cnf(c_17001,negated_conjecture,
    ( sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

cnf(c_17002,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_496]) ).

cnf(c_17003,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_496]) ).

cnf(c_17004,negated_conjecture,
    ( sP2_iProver_split
    | sP6_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

cnf(c_17005,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_494]) ).

cnf(c_17006,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_494]) ).

cnf(c_17007,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_494]) ).

cnf(c_17008,negated_conjecture,
    ( sP8_iProver_split
    | sP9_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

cnf(c_17009,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_492]) ).

cnf(c_17010,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_492]) ).

cnf(c_17011,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_492]) ).

cnf(c_17012,negated_conjecture,
    ( sP11_iProver_split
    | sP12_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).

cnf(c_17013,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_490]) ).

cnf(c_17014,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_490]) ).

cnf(c_17015,negated_conjecture,
    ( sP12_iProver_split
    | sP14_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

cnf(c_17016,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_488]) ).

cnf(c_17017,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_488]) ).

cnf(c_17019,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_486]) ).

cnf(c_17020,negated_conjecture,
    ( sP6_iProver_split
    | sP8_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

cnf(c_17021,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_484]) ).

cnf(c_17022,negated_conjecture,
    ( sP6_iProver_split
    | sP9_iProver_split
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

cnf(c_17023,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_482]) ).

cnf(c_17024,negated_conjecture,
    ( sP18_iProver_split
    | sP19_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

cnf(c_17025,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_480]) ).

cnf(c_17026,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_480]) ).

cnf(c_17027,negated_conjecture,
    ( sP17_iProver_split
    | sP21_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

cnf(c_17028,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_478]) ).

cnf(c_17030,negated_conjecture,
    ( sP12_iProver_split
    | sP17_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

cnf(c_17032,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_472]) ).

cnf(c_17033,negated_conjecture,
    ( hskp7
    | sP10_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

cnf(c_17034,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_470]) ).

cnf(c_17038,negated_conjecture,
    ( hskp2
    | sP5_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

cnf(c_17040,negated_conjecture,
    ( hskp10
    | sP13_iProver_split
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

cnf(c_17043,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_451]) ).

cnf(c_17046,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_446]) ).

cnf(c_17048,negated_conjecture,
    ( hskp29
    | sP12_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

cnf(c_17057,negated_conjecture,
    ( hskp0
    | sP19_iProver_split
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).

cnf(c_17058,negated_conjecture,
    ( hskp27
    | sP6_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_428]) ).

cnf(c_17059,negated_conjecture,
    ( hskp2
    | sP10_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

cnf(c_17060,negated_conjecture,
    ( hskp2
    | sP1_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

cnf(c_17061,negated_conjecture,
    ( hskp14
    | sP18_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_421]) ).

cnf(c_17065,negated_conjecture,
    ( hskp7
    | sP17_iProver_split
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_413]) ).

cnf(c_17068,negated_conjecture,
    ( hskp0
    | sP13_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_407]) ).

cnf(c_17069,negated_conjecture,
    ( hskp28
    | sP9_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_403]) ).

cnf(c_17070,negated_conjecture,
    ( hskp13
    | hskp19
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

cnf(c_17076,negated_conjecture,
    ( hskp9
    | hskp29
    | sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

cnf(c_17077,negated_conjecture,
    ( hskp17
    | hskp10
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_380]) ).

cnf(c_17078,negated_conjecture,
    ( hskp16
    | hskp13
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

cnf(c_17083,negated_conjecture,
    ( hskp0
    | hskp15
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_361]) ).

cnf(c_17086,negated_conjecture,
    ( hskp17
    | hskp29
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_352]) ).

cnf(c_17087,negated_conjecture,
    ( hskp16
    | hskp15
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_349]) ).

cnf(c_17100,plain,
    ( ~ c1_1(a2174)
    | ~ sP18_iProver_split
    | c3_1(a2174)
    | c0_1(a2174) ),
    inference(instantiation,[status(thm)],[c_17019]) ).

cnf(c_17107,plain,
    ( ~ c2_1(a2174)
    | ~ c1_1(a2174)
    | ~ sP6_iProver_split
    | c0_1(a2174) ),
    inference(instantiation,[status(thm)],[c_17002]) ).

cnf(c_17109,plain,
    ( ~ c3_1(a2174)
    | ~ c2_1(a2174)
    | ~ sP12_iProver_split
    | c0_1(a2174) ),
    inference(instantiation,[status(thm)],[c_17010]) ).

cnf(c_17114,plain,
    ( ~ c2_1(a2174)
    | ~ c1_1(a2174)
    | ~ sP24_iProver_split
    | c3_1(a2174) ),
    inference(instantiation,[status(thm)],[c_17032]) ).

cnf(c_17126,plain,
    ( ~ c3_1(a2194)
    | ~ c0_1(a2194)
    | ~ sP3_iProver_split
    | c2_1(a2194) ),
    inference(instantiation,[status(thm)],[c_16998]) ).

cnf(c_17131,plain,
    ( ~ c3_1(a2178)
    | ~ c0_1(a2178)
    | ~ sP8_iProver_split
    | c1_1(a2178) ),
    inference(instantiation,[status(thm)],[c_17005]) ).

cnf(c_17132,plain,
    ( ~ c3_1(a2197)
    | ~ c0_1(a2197)
    | ~ sP8_iProver_split
    | c1_1(a2197) ),
    inference(instantiation,[status(thm)],[c_17005]) ).

cnf(c_17133,plain,
    ( ~ c3_1(a2194)
    | ~ c0_1(a2194)
    | ~ sP8_iProver_split
    | c1_1(a2194) ),
    inference(instantiation,[status(thm)],[c_17005]) ).

cnf(c_17134,plain,
    ( ~ c3_1(a2193)
    | ~ c0_1(a2193)
    | ~ sP8_iProver_split
    | c1_1(a2193) ),
    inference(instantiation,[status(thm)],[c_17005]) ).

cnf(c_17141,plain,
    ( ~ sP9_iProver_split
    | c3_1(a2195)
    | c2_1(a2195)
    | c1_1(a2195) ),
    inference(instantiation,[status(thm)],[c_17006]) ).

cnf(c_17146,plain,
    ( ~ c3_1(a2197)
    | ~ c2_1(a2197)
    | ~ sP12_iProver_split
    | c0_1(a2197) ),
    inference(instantiation,[status(thm)],[c_17010]) ).

cnf(c_17149,plain,
    ( ~ c3_1(a2186)
    | ~ c2_1(a2186)
    | ~ sP12_iProver_split
    | c0_1(a2186) ),
    inference(instantiation,[status(thm)],[c_17010]) ).

cnf(c_17150,plain,
    ( ~ c3_1(a2182)
    | ~ c2_1(a2182)
    | ~ sP12_iProver_split
    | c0_1(a2182) ),
    inference(instantiation,[status(thm)],[c_17010]) ).

cnf(c_17153,plain,
    ( ~ c3_1(a2197)
    | ~ c2_1(a2197)
    | ~ sP13_iProver_split
    | c1_1(a2197) ),
    inference(instantiation,[status(thm)],[c_17011]) ).

cnf(c_17156,plain,
    ( ~ c3_1(a2186)
    | ~ c2_1(a2186)
    | ~ sP13_iProver_split
    | c1_1(a2186) ),
    inference(instantiation,[status(thm)],[c_17011]) ).

cnf(c_17161,plain,
    ( ~ c2_1(a2185)
    | ~ sP17_iProver_split
    | c3_1(a2185)
    | c0_1(a2185) ),
    inference(instantiation,[status(thm)],[c_17017]) ).

cnf(c_17164,plain,
    ( ~ c2_1(a2176)
    | ~ sP17_iProver_split
    | c3_1(a2176)
    | c0_1(a2176) ),
    inference(instantiation,[status(thm)],[c_17017]) ).

cnf(c_17167,plain,
    ( ~ c3_1(a2197)
    | ~ sP19_iProver_split
    | c1_1(a2197)
    | c0_1(a2197) ),
    inference(instantiation,[status(thm)],[c_17021]) ).

cnf(c_17169,plain,
    ( ~ c3_1(a2193)
    | ~ sP19_iProver_split
    | c1_1(a2193)
    | c0_1(a2193) ),
    inference(instantiation,[status(thm)],[c_17021]) ).

cnf(c_17170,plain,
    ( ~ c3_1(a2186)
    | ~ sP19_iProver_split
    | c1_1(a2186)
    | c0_1(a2186) ),
    inference(instantiation,[status(thm)],[c_17021]) ).

cnf(c_17177,plain,
    ( ~ c3_1(a2186)
    | ~ sP4_iProver_split
    | c2_1(a2186)
    | c0_1(a2186) ),
    inference(instantiation,[status(thm)],[c_16999]) ).

cnf(c_17180,plain,
    ( ~ c3_1(a2178)
    | ~ c1_1(a2178)
    | ~ c0_1(a2178)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_16996]) ).

cnf(c_17182,plain,
    ( ~ c3_1(a2194)
    | ~ c1_1(a2194)
    | ~ c0_1(a2194)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_16996]) ).

cnf(c_17200,plain,
    ( ~ sP23_iProver_split
    | c2_1(a2211)
    | c1_1(a2211)
    | c0_1(a2211) ),
    inference(instantiation,[status(thm)],[c_17028]) ).

cnf(c_17201,plain,
    ( ~ sP23_iProver_split
    | c2_1(a2186)
    | c1_1(a2186)
    | c0_1(a2186) ),
    inference(instantiation,[status(thm)],[c_17028]) ).

cnf(c_17203,plain,
    ( ~ sP23_iProver_split
    | c2_1(a2177)
    | c1_1(a2177)
    | c0_1(a2177) ),
    inference(instantiation,[status(thm)],[c_17028]) ).

cnf(c_17227,plain,
    ( ~ c0_1(a2194)
    | c2_1(a2194)
    | c1_1(a2194)
    | hskp16 ),
    inference(instantiation,[status(thm)],[c_340]) ).

cnf(c_17250,plain,
    ( ~ c2_1(a2197)
    | ~ c0_1(a2197)
    | ~ sP16_iProver_split
    | c1_1(a2197) ),
    inference(instantiation,[status(thm)],[c_17016]) ).

cnf(c_17261,plain,
    ( ~ sP21_iProver_split
    | c3_1(a2177)
    | c1_1(a2177)
    | c0_1(a2177) ),
    inference(instantiation,[status(thm)],[c_17025]) ).

cnf(c_17272,plain,
    ( ~ c3_1(a2185)
    | ~ c2_1(a2185)
    | ~ sP13_iProver_split
    | c1_1(a2185) ),
    inference(instantiation,[status(thm)],[c_17011]) ).

cnf(c_17273,plain,
    ( ~ c3_1(a2185)
    | ~ c2_1(a2185)
    | ~ sP12_iProver_split
    | c0_1(a2185) ),
    inference(instantiation,[status(thm)],[c_17010]) ).

cnf(c_17277,plain,
    ( ~ sP9_iProver_split
    | c3_1(a2177)
    | c2_1(a2177)
    | c1_1(a2177) ),
    inference(instantiation,[status(thm)],[c_17006]) ).

cnf(c_17303,plain,
    ( ~ c2_1(a2185)
    | ~ sP1_iProver_split
    | c3_1(a2185)
    | c1_1(a2185) ),
    inference(instantiation,[status(thm)],[c_16995]) ).

cnf(c_17307,plain,
    ( ~ c2_1(a2197)
    | ~ sP7_iProver_split
    | c1_1(a2197)
    | c0_1(a2197) ),
    inference(instantiation,[status(thm)],[c_17003]) ).

cnf(c_17314,plain,
    ( ~ c0_1(a2195)
    | ~ sP11_iProver_split
    | c3_1(a2195)
    | c2_1(a2195) ),
    inference(instantiation,[status(thm)],[c_17009]) ).

cnf(c_17320,plain,
    ( ~ c2_1(a2188)
    | ~ c0_1(a2188)
    | ~ sP14_iProver_split
    | c3_1(a2188) ),
    inference(instantiation,[status(thm)],[c_17013]) ).

cnf(c_17329,plain,
    ( ~ c1_1(a2211)
    | ~ sP20_iProver_split
    | c3_1(a2211)
    | c2_1(a2211) ),
    inference(instantiation,[status(thm)],[c_17023]) ).

cnf(c_17335,plain,
    ( ~ c1_1(a2176)
    | ~ sP20_iProver_split
    | c3_1(a2176)
    | c2_1(a2176) ),
    inference(instantiation,[status(thm)],[c_17023]) ).

cnf(c_17357,plain,
    ( ~ c1_1(a2176)
    | ~ sP18_iProver_split
    | c3_1(a2176)
    | c0_1(a2176) ),
    inference(instantiation,[status(thm)],[c_17019]) ).

cnf(c_17365,plain,
    ( ~ c0_1(a2191)
    | ~ sP28_iProver_split
    | c3_1(a2191)
    | c1_1(a2191) ),
    inference(instantiation,[status(thm)],[c_17046]) ).

cnf(c_17376,plain,
    ( ~ c1_1(a2268)
    | ~ sP18_iProver_split
    | c3_1(a2268)
    | c0_1(a2268) ),
    inference(instantiation,[status(thm)],[c_17019]) ).

cnf(c_17379,plain,
    ( ~ c1_1(a2268)
    | ~ sP20_iProver_split
    | c3_1(a2268)
    | c2_1(a2268) ),
    inference(instantiation,[status(thm)],[c_17023]) ).

cnf(c_17506,plain,
    ( ~ c3_1(a2196)
    | ~ c2_1(a2196)
    | ~ c1_1(a2196)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_17000]) ).

cnf(c_17507,plain,
    ( ~ c3_1(a2196)
    | ~ c2_1(a2196)
    | ~ c0_1(a2196)
    | ~ sP10_iProver_split ),
    inference(instantiation,[status(thm)],[c_17007]) ).

cnf(c_17508,plain,
    ( ~ c3_1(a2196)
    | ~ c1_1(a2196)
    | ~ c0_1(a2196)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_16996]) ).

cnf(c_17512,plain,
    ( ~ c3_1(a2196)
    | ~ c2_1(a2196)
    | ~ sP12_iProver_split
    | c0_1(a2196) ),
    inference(instantiation,[status(thm)],[c_17010]) ).

cnf(c_17517,plain,
    ( ~ c2_1(a2196)
    | ~ c1_1(a2196)
    | ~ sP6_iProver_split
    | c0_1(a2196) ),
    inference(instantiation,[status(thm)],[c_17002]) ).

cnf(c_17518,plain,
    ( ~ c3_1(a2196)
    | ~ c1_1(a2196)
    | ~ sP22_iProver_split
    | c0_1(a2196) ),
    inference(instantiation,[status(thm)],[c_17026]) ).

cnf(c_17548,plain,
    ( ~ c3_1(a2262)
    | ~ c1_1(a2262)
    | ~ sP27_iProver_split
    | c2_1(a2262) ),
    inference(instantiation,[status(thm)],[c_17043]) ).

cnf(c_17549,plain,
    ( ~ c3_1(a2262)
    | ~ c2_1(a2262)
    | ~ c1_1(a2262)
    | ~ sP5_iProver_split ),
    inference(instantiation,[status(thm)],[c_17000]) ).

cnf(c_17555,plain,
    ( ~ c3_1(a2262)
    | ~ c2_1(a2262)
    | ~ sP12_iProver_split
    | c0_1(a2262) ),
    inference(instantiation,[status(thm)],[c_17010]) ).

cnf(c_17559,plain,
    ( ~ c2_1(a2262)
    | ~ c1_1(a2262)
    | ~ sP6_iProver_split
    | c0_1(a2262) ),
    inference(instantiation,[status(thm)],[c_17002]) ).

cnf(c_17635,plain,
    ( ~ c3_1(a2268)
    | ~ c1_1(a2268)
    | ~ sP27_iProver_split
    | c2_1(a2268) ),
    inference(instantiation,[status(thm)],[c_17043]) ).

cnf(c_17717,plain,
    ( ~ c1_1(a2188)
    | ~ c0_1(a2188)
    | ~ sP0_iProver_split
    | c3_1(a2188) ),
    inference(instantiation,[status(thm)],[c_16994]) ).

cnf(c_17726,plain,
    ( ~ c2_1(a2177)
    | ~ sP7_iProver_split
    | c1_1(a2177)
    | c0_1(a2177) ),
    inference(instantiation,[status(thm)],[c_17003]) ).

cnf(c_17745,plain,
    ( ~ sP23_iProver_split
    | c2_1(a2195)
    | c1_1(a2195)
    | c0_1(a2195) ),
    inference(instantiation,[status(thm)],[c_17028]) ).

cnf(c_17746,plain,
    ( ~ sP23_iProver_split
    | c2_1(a2193)
    | c1_1(a2193)
    | c0_1(a2193) ),
    inference(instantiation,[status(thm)],[c_17028]) ).

cnf(c_17762,plain,
    ( ~ c3_1(a2194)
    | ~ c1_1(a2194)
    | ~ sP27_iProver_split
    | c2_1(a2194) ),
    inference(instantiation,[status(thm)],[c_17043]) ).

cnf(c_17773,plain,
    ( ~ c1_1(a2194)
    | ~ c0_1(a2194)
    | ~ sP25_iProver_split
    | c2_1(a2194) ),
    inference(instantiation,[status(thm)],[c_17034]) ).

cnf(c_17774,plain,
    ( ~ c0_1(a2194)
    | ~ sP15_iProver_split
    | c2_1(a2194)
    | c1_1(a2194) ),
    inference(instantiation,[status(thm)],[c_17014]) ).

cnf(c_17826,plain,
    ( ~ c3_1(a2188)
    | ~ c2_1(a2188)
    | ~ c0_1(a2188)
    | ~ sP10_iProver_split ),
    inference(instantiation,[status(thm)],[c_17007]) ).

cnf(c_17868,plain,
    ( ~ c0_1(a2195)
    | ~ sP28_iProver_split
    | c3_1(a2195)
    | c1_1(a2195) ),
    inference(instantiation,[status(thm)],[c_17046]) ).

cnf(c_17944,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17868,c_17826,c_17773,c_17774,c_17762,c_17746,c_17745,c_17726,c_17717,c_17635,c_17559,c_17548,c_17549,c_17555,c_17517,c_17518,c_17506,c_17507,c_17508,c_17512,c_17379,c_17376,c_17365,c_17357,c_17335,c_17329,c_17320,c_17314,c_17307,c_17303,c_17277,c_17272,c_17273,c_17261,c_17250,c_17227,c_17203,c_17201,c_17200,c_17182,c_17180,c_17177,c_17170,c_17169,c_17167,c_17164,c_17161,c_17156,c_17153,c_17150,c_17149,c_17146,c_17141,c_17134,c_17133,c_17132,c_17131,c_17126,c_17114,c_17109,c_17107,c_17100,c_17087,c_17086,c_17083,c_17078,c_17077,c_17076,c_17070,c_17069,c_17068,c_17065,c_17061,c_17060,c_17059,c_17058,c_17057,c_17048,c_17040,c_17038,c_17033,c_17030,c_17027,c_17024,c_17022,c_17020,c_17015,c_17012,c_17008,c_17004,c_17001,c_7909,c_7886,c_7863,c_7756,c_7746,c_7736,c_4594,c_4584,c_4574,c_4528,c_4511,c_4494,c_3319,c_3309,c_3299,c_3279,c_3269,c_3249,c_3239,c_3219,c_3209,c_3189,c_3179,c_2167,c_2157,c_1849,c_169,c_170,c_171,c_177,c_181,c_182,c_183,c_185,c_190,c_193,c_194,c_205,c_206,c_209,c_210,c_217,c_237,c_238,c_245,c_129,c_130,c_131,c_133,c_134,c_135,c_137,c_139,c_150,c_151,c_178,c_179,c_186,c_187,c_191,c_195,c_207,c_211,c_218,c_219,c_239,c_246,c_247,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN486+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n020.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sat Aug 26 19:30:14 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.72/1.15  % SZS status Started for theBenchmark.p
% 3.72/1.15  % SZS status Theorem for theBenchmark.p
% 3.72/1.15  
% 3.72/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.72/1.15  
% 3.72/1.15  ------  iProver source info
% 3.72/1.15  
% 3.72/1.15  git: date: 2023-05-31 18:12:56 +0000
% 3.72/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.72/1.15  git: non_committed_changes: false
% 3.72/1.15  git: last_make_outside_of_git: false
% 3.72/1.15  
% 3.72/1.15  ------ Parsing...
% 3.72/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.72/1.15  
% 3.72/1.15  
% 3.72/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.72/1.15  
% 3.72/1.15  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.72/1.15   gs_s  sp: 124 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.72/1.15  ------ Proving...
% 3.72/1.15  ------ Problem Properties 
% 3.72/1.15  
% 3.72/1.15  
% 3.72/1.15  clauses                                 197
% 3.72/1.15  conjectures                             188
% 3.72/1.15  EPR                                     197
% 3.72/1.15  Horn                                    100
% 3.72/1.15  unary                                   0
% 3.72/1.15  binary                                  84
% 3.72/1.15  lits                                    539
% 3.72/1.15  lits eq                                 0
% 3.72/1.15  fd_pure                                 0
% 3.72/1.15  fd_pseudo                               0
% 3.72/1.15  fd_cond                                 0
% 3.72/1.15  fd_pseudo_cond                          0
% 3.72/1.15  AC symbols                              0
% 3.72/1.15  
% 3.72/1.15  ------ Schedule EPR non Horn non eq is on
% 3.72/1.15  
% 3.72/1.15  ------ no equalities: superposition off 
% 3.72/1.15  
% 3.72/1.15  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.72/1.15  
% 3.72/1.15  
% 3.72/1.15  ------ 
% 3.72/1.15  Current options:
% 3.72/1.15  ------ 
% 3.72/1.15  
% 3.72/1.15  
% 3.72/1.15  
% 3.72/1.15  
% 3.72/1.15  ------ Proving...
% 3.72/1.15  
% 3.72/1.15  
% 3.72/1.15  % SZS status Theorem for theBenchmark.p
% 3.72/1.15  
% 3.72/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.72/1.16  
% 3.72/1.16  
%------------------------------------------------------------------------------