TSTP Solution File: SYN487+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN487+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 03:07:48 EDT 2023

% Result   : Theorem 3.60s 1.14s
% Output   : CNFRefutation 3.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f234)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp22
        | hskp14
        | hskp3 )
      & ( hskp13
        | hskp22
        | hskp24 )
      & ( hskp19
        | hskp10
        | hskp8 )
      & ( hskp18
        | hskp22
        | hskp31 )
      & ( hskp14
        | hskp7
        | hskp31 )
      & ( hskp0
        | hskp12
        | hskp6 )
      & ( hskp30
        | hskp11
        | hskp6 )
      & ( hskp20
        | hskp14
        | hskp1 )
      & ( hskp16
        | hskp26
        | hskp28 )
      & ( hskp13
        | hskp0
        | hskp28 )
      & ( hskp3
        | hskp27
        | hskp29 )
      & ( hskp9
        | hskp27
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c2_1(X96)
              | ~ c1_1(X96) ) ) )
      & ( hskp23
        | hskp25
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c2_1(X95)
              | ~ c1_1(X95) ) ) )
      & ( hskp5
        | hskp8
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | ~ c1_1(X94) ) ) )
      & ( hskp18
        | hskp13
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c1_1(X93)
              | ~ c0_1(X93) ) ) )
      & ( hskp18
        | hskp2
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | ~ c1_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( hskp19
        | hskp7
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c1_1(X91)
              | c3_1(X91) ) ) )
      & ( hskp16
        | hskp30
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | c3_1(X90) ) ) )
      & ( hskp4
        | hskp2
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c3_1(X89) ) ) )
      & ( hskp16
        | hskp21
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c0_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp3
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp21
        | hskp30
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp19
        | hskp12
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp26
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp25
        | hskp24
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp25
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c3_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c2_1(X79) ) ) )
      & ( hskp14
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | ~ c0_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c2_1(X77) ) ) )
      & ( hskp4
        | hskp3
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp21
        | hskp24
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp4
        | hskp1
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp4
        | hskp19
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c1_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c1_1(X71)
              | ~ c0_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp12
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp0
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c1_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | c3_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp23
        | ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | ~ c0_1(X65)
              | c3_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | c3_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp12
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | c3_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp1
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | ~ c0_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp23
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c3_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp0
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp22
        | hskp21
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) ) )
      & ( hskp20
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp19
        | hskp30
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp13
        | hskp12
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp8
        | hskp29
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp19
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c2_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp30
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp8
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp17
        | hskp14
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp0
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | c0_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | hskp29
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp18
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | ~ c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c1_1(X36)
              | c3_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c0_1(X35)
              | c3_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp17
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c3_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp17
        | hskp14
        | ! [X31] :
            ( ndr1_0
           => ( ~ c2_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp16
        | hskp15
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c3_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp14
        | hskp1
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp11
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c3_1(X28)
              | c2_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c3_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp13
        | hskp4
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp8
        | hskp28
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp12
        | hskp11
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp10
        | hskp6
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp9
        | hskp28
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp5
        | ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | c3_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp7
        | hskp8
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp7
        | hskp6
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp5
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c0_1(X14)
              | c3_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp1
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c2_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp4
        | hskp0
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp3
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp28
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | c3_1(X3)
              | c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2387)
          & c2_1(a2387)
          & c0_1(a2387)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a2315)
          & c2_1(a2315)
          & c1_1(a2315)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a2309)
          & c1_1(a2309)
          & c0_1(a2309)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a2278)
          & c1_1(a2278)
          & c0_1(a2278)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c0_1(a2367)
          & c2_1(a2367)
          & c1_1(a2367)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c1_1(a2345)
          & ~ c0_1(a2345)
          & c3_1(a2345)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a2342)
          & c3_1(a2342)
          & c0_1(a2342)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a2337)
          & c3_1(a2337)
          & c0_1(a2337)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a2327)
          & ~ c0_1(a2327)
          & c3_1(a2327)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a2325)
          & ~ c0_1(a2325)
          & c2_1(a2325)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a2324)
          & ~ c0_1(a2324)
          & c1_1(a2324)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c1_1(a2323)
          & c3_1(a2323)
          & c2_1(a2323)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a2316)
          & ~ c2_1(a2316)
          & c1_1(a2316)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a2308)
          & ~ c1_1(a2308)
          & c3_1(a2308)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a2306)
          & ~ c2_1(a2306)
          & ~ c1_1(a2306)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2304)
          & ~ c2_1(a2304)
          & ~ c0_1(a2304)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a2303)
          & c2_1(a2303)
          & c1_1(a2303)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a2302)
          & c3_1(a2302)
          & c2_1(a2302)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a2299)
          & ~ c1_1(a2299)
          & c2_1(a2299)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a2295)
          & ~ c1_1(a2295)
          & c0_1(a2295)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a2294)
          & ~ c1_1(a2294)
          & c0_1(a2294)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a2293)
          & c2_1(a2293)
          & c0_1(a2293)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a2291)
          & ~ c1_1(a2291)
          & ~ c0_1(a2291)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a2287)
          & c2_1(a2287)
          & c0_1(a2287)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a2286)
          & ~ c0_1(a2286)
          & c1_1(a2286)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a2285)
          & c1_1(a2285)
          & c0_1(a2285)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a2284)
          & ~ c1_1(a2284)
          & ~ c0_1(a2284)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a2282)
          & ~ c0_1(a2282)
          & c2_1(a2282)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a2280)
          & c3_1(a2280)
          & c1_1(a2280)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2279)
          & ~ c2_1(a2279)
          & c0_1(a2279)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2277)
          & c1_1(a2277)
          & c0_1(a2277)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a2276)
          & c3_1(a2276)
          & c1_1(a2276)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp22
          | hskp14
          | hskp3 )
        & ( hskp13
          | hskp22
          | hskp24 )
        & ( hskp19
          | hskp10
          | hskp8 )
        & ( hskp18
          | hskp22
          | hskp31 )
        & ( hskp14
          | hskp7
          | hskp31 )
        & ( hskp0
          | hskp12
          | hskp6 )
        & ( hskp30
          | hskp11
          | hskp6 )
        & ( hskp20
          | hskp14
          | hskp1 )
        & ( hskp16
          | hskp26
          | hskp28 )
        & ( hskp13
          | hskp0
          | hskp28 )
        & ( hskp3
          | hskp27
          | hskp29 )
        & ( hskp9
          | hskp27
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | ~ c1_1(X96) ) ) )
        & ( hskp23
          | hskp25
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | ~ c1_1(X95) ) ) )
        & ( hskp5
          | hskp8
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | ~ c1_1(X94) ) ) )
        & ( hskp18
          | hskp13
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c1_1(X93)
                | ~ c0_1(X93) ) ) )
        & ( hskp18
          | hskp2
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( hskp19
          | hskp7
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | c3_1(X91) ) ) )
        & ( hskp16
          | hskp30
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c3_1(X90) ) ) )
        & ( hskp4
          | hskp2
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) ) )
        & ( hskp16
          | hskp21
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp3
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp21
          | hskp30
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp19
          | hskp12
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp26
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp25
          | hskp24
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp25
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) ) )
        & ( hskp14
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) ) )
        & ( hskp4
          | hskp3
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp21
          | hskp24
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp4
          | hskp1
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp4
          | hskp19
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c1_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp12
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp0
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp23
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | ~ c0_1(X65)
                | c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp12
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c3_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp1
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp23
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c3_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp0
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp22
          | hskp21
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp20
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp19
          | hskp30
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | hskp12
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp8
          | hskp29
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp19
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c2_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp30
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp8
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp17
          | hskp14
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp0
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | hskp29
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp18
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c1_1(X36)
                | c3_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp17
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c3_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp17
          | hskp14
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp16
          | hskp15
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp14
          | hskp1
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp11
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c2_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp13
          | hskp4
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp8
          | hskp28
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp12
          | hskp11
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp10
          | hskp6
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp9
          | hskp28
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp5
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp7
          | hskp8
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp7
          | hskp6
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp5
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp1
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp4
          | hskp0
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp3
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp28
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c3_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2387)
            & c2_1(a2387)
            & c0_1(a2387)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a2315)
            & c2_1(a2315)
            & c1_1(a2315)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a2309)
            & c1_1(a2309)
            & c0_1(a2309)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2278)
            & c1_1(a2278)
            & c0_1(a2278)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a2367)
            & c2_1(a2367)
            & c1_1(a2367)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c1_1(a2345)
            & ~ c0_1(a2345)
            & c3_1(a2345)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2342)
            & c3_1(a2342)
            & c0_1(a2342)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a2337)
            & c3_1(a2337)
            & c0_1(a2337)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2327)
            & ~ c0_1(a2327)
            & c3_1(a2327)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a2325)
            & ~ c0_1(a2325)
            & c2_1(a2325)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2324)
            & ~ c0_1(a2324)
            & c1_1(a2324)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a2323)
            & c3_1(a2323)
            & c2_1(a2323)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2316)
            & ~ c2_1(a2316)
            & c1_1(a2316)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2308)
            & ~ c1_1(a2308)
            & c3_1(a2308)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a2306)
            & ~ c2_1(a2306)
            & ~ c1_1(a2306)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2304)
            & ~ c2_1(a2304)
            & ~ c0_1(a2304)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2303)
            & c2_1(a2303)
            & c1_1(a2303)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a2302)
            & c3_1(a2302)
            & c2_1(a2302)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2299)
            & ~ c1_1(a2299)
            & c2_1(a2299)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2295)
            & ~ c1_1(a2295)
            & c0_1(a2295)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a2294)
            & ~ c1_1(a2294)
            & c0_1(a2294)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2293)
            & c2_1(a2293)
            & c0_1(a2293)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a2291)
            & ~ c1_1(a2291)
            & ~ c0_1(a2291)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a2287)
            & c2_1(a2287)
            & c0_1(a2287)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a2286)
            & ~ c0_1(a2286)
            & c1_1(a2286)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2285)
            & c1_1(a2285)
            & c0_1(a2285)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a2284)
            & ~ c1_1(a2284)
            & ~ c0_1(a2284)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a2282)
            & ~ c0_1(a2282)
            & c2_1(a2282)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a2280)
            & c3_1(a2280)
            & c1_1(a2280)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2279)
            & ~ c2_1(a2279)
            & c0_1(a2279)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2277)
            & c1_1(a2277)
            & c0_1(a2277)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a2276)
            & c3_1(a2276)
            & c1_1(a2276)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp22
          | hskp14
          | hskp3 )
        & ( hskp13
          | hskp22
          | hskp24 )
        & ( hskp19
          | hskp10
          | hskp8 )
        & ( hskp18
          | hskp22
          | hskp31 )
        & ( hskp14
          | hskp7
          | hskp31 )
        & ( hskp0
          | hskp12
          | hskp6 )
        & ( hskp30
          | hskp11
          | hskp6 )
        & ( hskp20
          | hskp14
          | hskp1 )
        & ( hskp16
          | hskp26
          | hskp28 )
        & ( hskp13
          | hskp0
          | hskp28 )
        & ( hskp3
          | hskp27
          | hskp29 )
        & ( hskp9
          | hskp27
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp23
          | hskp25
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp5
          | hskp8
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) ) )
        & ( hskp18
          | hskp13
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp18
          | hskp2
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp19
          | hskp7
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp16
          | hskp30
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp4
          | hskp2
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp16
          | hskp21
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp3
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp21
          | hskp30
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp19
          | hskp12
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp26
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp25
          | hskp24
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp25
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp14
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp4
          | hskp3
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp21
          | hskp24
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp4
          | hskp1
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp4
          | hskp19
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_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)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp12
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c0_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp0
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp23
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp12
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp1
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp23
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c3_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp0
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp22
          | hskp21
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c1_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp20
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp19
          | hskp30
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp13
          | hskp12
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp8
          | hskp29
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp19
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp30
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp8
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp0
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp8
          | hskp29
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp18
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp17
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp17
          | hskp14
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp16
          | hskp15
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp14
          | hskp1
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp11
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp13
          | hskp4
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp8
          | hskp28
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp12
          | hskp11
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp10
          | hskp6
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp9
          | hskp28
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp5
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c1_1(X77)
                | c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp7
          | hskp8
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c1_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp7
          | hskp6
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp5
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp1
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c1_1(X86)
                | c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp4
          | hskp0
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp3
          | hskp2
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp28
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c1_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp1
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c1_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp0
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( ( c3_1(a2387)
            & c2_1(a2387)
            & c0_1(a2387)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a2315)
            & c2_1(a2315)
            & c1_1(a2315)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a2309)
            & c1_1(a2309)
            & c0_1(a2309)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2278)
            & c1_1(a2278)
            & c0_1(a2278)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a2367)
            & c2_1(a2367)
            & c1_1(a2367)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c1_1(a2345)
            & ~ c0_1(a2345)
            & c3_1(a2345)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2342)
            & c3_1(a2342)
            & c0_1(a2342)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a2337)
            & c3_1(a2337)
            & c0_1(a2337)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2327)
            & ~ c0_1(a2327)
            & c3_1(a2327)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a2325)
            & ~ c0_1(a2325)
            & c2_1(a2325)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2324)
            & ~ c0_1(a2324)
            & c1_1(a2324)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a2323)
            & c3_1(a2323)
            & c2_1(a2323)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2316)
            & ~ c2_1(a2316)
            & c1_1(a2316)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2308)
            & ~ c1_1(a2308)
            & c3_1(a2308)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a2306)
            & ~ c2_1(a2306)
            & ~ c1_1(a2306)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2304)
            & ~ c2_1(a2304)
            & ~ c0_1(a2304)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2303)
            & c2_1(a2303)
            & c1_1(a2303)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a2302)
            & c3_1(a2302)
            & c2_1(a2302)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2299)
            & ~ c1_1(a2299)
            & c2_1(a2299)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2295)
            & ~ c1_1(a2295)
            & c0_1(a2295)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a2294)
            & ~ c1_1(a2294)
            & c0_1(a2294)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2293)
            & c2_1(a2293)
            & c0_1(a2293)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a2291)
            & ~ c1_1(a2291)
            & ~ c0_1(a2291)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a2287)
            & c2_1(a2287)
            & c0_1(a2287)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a2286)
            & ~ c0_1(a2286)
            & c1_1(a2286)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2285)
            & c1_1(a2285)
            & c0_1(a2285)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a2284)
            & ~ c1_1(a2284)
            & ~ c0_1(a2284)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a2282)
            & ~ c0_1(a2282)
            & c2_1(a2282)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a2280)
            & c3_1(a2280)
            & c1_1(a2280)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2279)
            & ~ c2_1(a2279)
            & c0_1(a2279)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2277)
            & c1_1(a2277)
            & c0_1(a2277)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a2276)
            & c3_1(a2276)
            & c1_1(a2276)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp22
      | hskp14
      | hskp3 )
    & ( hskp13
      | hskp22
      | hskp24 )
    & ( hskp19
      | hskp10
      | hskp8 )
    & ( hskp18
      | hskp22
      | hskp31 )
    & ( hskp14
      | hskp7
      | hskp31 )
    & ( hskp0
      | hskp12
      | hskp6 )
    & ( hskp30
      | hskp11
      | hskp6 )
    & ( hskp20
      | hskp14
      | hskp1 )
    & ( hskp16
      | hskp26
      | hskp28 )
    & ( hskp13
      | hskp0
      | hskp28 )
    & ( hskp3
      | hskp27
      | hskp29 )
    & ( hskp9
      | hskp27
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp23
      | hskp25
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp5
      | hskp8
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c1_1(X2) ) ) )
    & ( hskp18
      | hskp13
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp18
      | hskp2
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp19
      | hskp7
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp16
      | hskp30
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp4
      | hskp2
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp16
      | hskp21
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp3
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c2_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp21
      | hskp30
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp19
      | hskp12
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp26
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp25
      | hskp24
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp25
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c0_1(X16)
            | c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp14
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | c3_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp21
      | hskp24
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp4
      | hskp1
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp4
      | hskp19
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_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)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp12
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c0_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp0
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c1_1(X29)
            | ~ c0_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp23
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp12
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp1
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c1_1(X34)
            | ~ c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp23
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c3_1(X36)
            | c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp0
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | ~ c0_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp22
      | hskp21
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | ~ c1_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c0_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp20
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp19
      | hskp30
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp13
      | hskp12
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp8
      | hskp29
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp19
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c3_1(X48)
            | c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp30
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp8
      | ! [X52] :
          ( ndr1_0
         => ( ~ c0_1(X52)
            | c3_1(X52)
            | c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp17
      | hskp14
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp0
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp8
      | hskp29
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp18
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | ~ c0_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c0_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp17
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp17
      | hskp14
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp16
      | hskp15
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp14
      | hskp1
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp11
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c3_1(X68)
            | c2_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp13
      | hskp4
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp8
      | hskp28
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp12
      | hskp11
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp10
      | hskp6
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp9
      | hskp28
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp5
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | c3_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c1_1(X77)
            | c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c1_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp7
      | hskp6
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c1_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp5
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | ~ c0_1(X82)
            | c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c1_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp1
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c1_1(X84)
            | c2_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c1_1(X86)
            | c2_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp4
      | hskp0
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp3
      | hskp2
      | ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp28
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c1_1(X91)
            | c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | c1_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp1
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c3_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | c1_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp0
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( ( c3_1(a2387)
        & c2_1(a2387)
        & c0_1(a2387)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2315)
        & c2_1(a2315)
        & c1_1(a2315)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a2309)
        & c1_1(a2309)
        & c0_1(a2309)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2278)
        & c1_1(a2278)
        & c0_1(a2278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a2367)
        & c2_1(a2367)
        & c1_1(a2367)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2345)
        & ~ c0_1(a2345)
        & c3_1(a2345)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2342)
        & c3_1(a2342)
        & c0_1(a2342)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2337)
        & c3_1(a2337)
        & c0_1(a2337)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2327)
        & ~ c0_1(a2327)
        & c3_1(a2327)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2325)
        & ~ c0_1(a2325)
        & c2_1(a2325)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2324)
        & ~ c0_1(a2324)
        & c1_1(a2324)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2323)
        & c3_1(a2323)
        & c2_1(a2323)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2316)
        & ~ c2_1(a2316)
        & c1_1(a2316)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2308)
        & ~ c1_1(a2308)
        & c3_1(a2308)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2306)
        & ~ c2_1(a2306)
        & ~ c1_1(a2306)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2304)
        & ~ c2_1(a2304)
        & ~ c0_1(a2304)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2303)
        & c2_1(a2303)
        & c1_1(a2303)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2302)
        & c3_1(a2302)
        & c2_1(a2302)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2299)
        & ~ c1_1(a2299)
        & c2_1(a2299)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2295)
        & ~ c1_1(a2295)
        & c0_1(a2295)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2294)
        & ~ c1_1(a2294)
        & c0_1(a2294)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2293)
        & c2_1(a2293)
        & c0_1(a2293)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a2291)
        & ~ c1_1(a2291)
        & ~ c0_1(a2291)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a2287)
        & c2_1(a2287)
        & c0_1(a2287)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2286)
        & ~ c0_1(a2286)
        & c1_1(a2286)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2285)
        & c1_1(a2285)
        & c0_1(a2285)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2284)
        & ~ c1_1(a2284)
        & ~ c0_1(a2284)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2282)
        & ~ c0_1(a2282)
        & c2_1(a2282)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a2280)
        & c3_1(a2280)
        & c1_1(a2280)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2279)
        & ~ c2_1(a2279)
        & c0_1(a2279)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2277)
        & c1_1(a2277)
        & c0_1(a2277)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2276)
        & c3_1(a2276)
        & c1_1(a2276)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp22
      | hskp14
      | hskp3 )
    & ( hskp13
      | hskp22
      | hskp24 )
    & ( hskp19
      | hskp10
      | hskp8 )
    & ( hskp18
      | hskp22
      | hskp31 )
    & ( hskp14
      | hskp7
      | hskp31 )
    & ( hskp0
      | hskp12
      | hskp6 )
    & ( hskp30
      | hskp11
      | hskp6 )
    & ( hskp20
      | hskp14
      | hskp1 )
    & ( hskp16
      | hskp26
      | hskp28 )
    & ( hskp13
      | hskp0
      | hskp28 )
    & ( hskp3
      | hskp27
      | hskp29 )
    & ( hskp9
      | hskp27
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp8
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp13
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp2
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp7
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp30
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp2
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp21
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp12
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp24
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp24
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp1
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp19
      | ! [X23] :
          ( ~ c3_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)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp30
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X48] :
          ( ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X52] :
          ( ~ c0_1(X52)
          | c3_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X57] :
          ( ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X68] :
          ( ~ c0_1(X68)
          | c3_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp4
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X71] :
          ( ~ c1_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp6
      | ! [X73] :
          ( c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X75] :
          ( ~ c0_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ~ c3_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X81] :
          ( ~ c3_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c1_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c2_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp0
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X90] :
          ( c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c1_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c2_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2387)
        & c2_1(a2387)
        & c0_1(a2387)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2315)
        & c2_1(a2315)
        & c1_1(a2315)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a2309)
        & c1_1(a2309)
        & c0_1(a2309)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2278)
        & c1_1(a2278)
        & c0_1(a2278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a2367)
        & c2_1(a2367)
        & c1_1(a2367)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2345)
        & ~ c0_1(a2345)
        & c3_1(a2345)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2342)
        & c3_1(a2342)
        & c0_1(a2342)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2337)
        & c3_1(a2337)
        & c0_1(a2337)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2327)
        & ~ c0_1(a2327)
        & c3_1(a2327)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2325)
        & ~ c0_1(a2325)
        & c2_1(a2325)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2324)
        & ~ c0_1(a2324)
        & c1_1(a2324)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2323)
        & c3_1(a2323)
        & c2_1(a2323)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2316)
        & ~ c2_1(a2316)
        & c1_1(a2316)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2308)
        & ~ c1_1(a2308)
        & c3_1(a2308)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2306)
        & ~ c2_1(a2306)
        & ~ c1_1(a2306)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2304)
        & ~ c2_1(a2304)
        & ~ c0_1(a2304)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2303)
        & c2_1(a2303)
        & c1_1(a2303)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2302)
        & c3_1(a2302)
        & c2_1(a2302)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2299)
        & ~ c1_1(a2299)
        & c2_1(a2299)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2295)
        & ~ c1_1(a2295)
        & c0_1(a2295)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2294)
        & ~ c1_1(a2294)
        & c0_1(a2294)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2293)
        & c2_1(a2293)
        & c0_1(a2293)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a2291)
        & ~ c1_1(a2291)
        & ~ c0_1(a2291)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a2287)
        & c2_1(a2287)
        & c0_1(a2287)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2286)
        & ~ c0_1(a2286)
        & c1_1(a2286)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2285)
        & c1_1(a2285)
        & c0_1(a2285)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2284)
        & ~ c1_1(a2284)
        & ~ c0_1(a2284)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2282)
        & ~ c0_1(a2282)
        & c2_1(a2282)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a2280)
        & c3_1(a2280)
        & c1_1(a2280)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2279)
        & ~ c2_1(a2279)
        & c0_1(a2279)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2277)
        & c1_1(a2277)
        & c0_1(a2277)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2276)
        & c3_1(a2276)
        & c1_1(a2276)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp22
      | hskp14
      | hskp3 )
    & ( hskp13
      | hskp22
      | hskp24 )
    & ( hskp19
      | hskp10
      | hskp8 )
    & ( hskp18
      | hskp22
      | hskp31 )
    & ( hskp14
      | hskp7
      | hskp31 )
    & ( hskp0
      | hskp12
      | hskp6 )
    & ( hskp30
      | hskp11
      | hskp6 )
    & ( hskp20
      | hskp14
      | hskp1 )
    & ( hskp16
      | hskp26
      | hskp28 )
    & ( hskp13
      | hskp0
      | hskp28 )
    & ( hskp3
      | hskp27
      | hskp29 )
    & ( hskp9
      | hskp27
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp8
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp13
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp2
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp7
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp30
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp2
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp21
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp12
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp24
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp24
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp1
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp19
      | ! [X23] :
          ( ~ c3_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)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp30
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X48] :
          ( ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X52] :
          ( ~ c0_1(X52)
          | c3_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X57] :
          ( ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X68] :
          ( ~ c0_1(X68)
          | c3_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp4
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X71] :
          ( ~ c1_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp6
      | ! [X73] :
          ( c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X75] :
          ( ~ c0_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ~ c3_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X81] :
          ( ~ c3_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c1_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c2_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp0
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X90] :
          ( c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c1_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c2_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2387)
        & c2_1(a2387)
        & c0_1(a2387)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2315)
        & c2_1(a2315)
        & c1_1(a2315)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a2309)
        & c1_1(a2309)
        & c0_1(a2309)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2278)
        & c1_1(a2278)
        & c0_1(a2278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a2367)
        & c2_1(a2367)
        & c1_1(a2367)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2345)
        & ~ c0_1(a2345)
        & c3_1(a2345)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2342)
        & c3_1(a2342)
        & c0_1(a2342)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2337)
        & c3_1(a2337)
        & c0_1(a2337)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2327)
        & ~ c0_1(a2327)
        & c3_1(a2327)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2325)
        & ~ c0_1(a2325)
        & c2_1(a2325)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2324)
        & ~ c0_1(a2324)
        & c1_1(a2324)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2323)
        & c3_1(a2323)
        & c2_1(a2323)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2316)
        & ~ c2_1(a2316)
        & c1_1(a2316)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2308)
        & ~ c1_1(a2308)
        & c3_1(a2308)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2306)
        & ~ c2_1(a2306)
        & ~ c1_1(a2306)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2304)
        & ~ c2_1(a2304)
        & ~ c0_1(a2304)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2303)
        & c2_1(a2303)
        & c1_1(a2303)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2302)
        & c3_1(a2302)
        & c2_1(a2302)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2299)
        & ~ c1_1(a2299)
        & c2_1(a2299)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2295)
        & ~ c1_1(a2295)
        & c0_1(a2295)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2294)
        & ~ c1_1(a2294)
        & c0_1(a2294)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2293)
        & c2_1(a2293)
        & c0_1(a2293)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a2291)
        & ~ c1_1(a2291)
        & ~ c0_1(a2291)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a2287)
        & c2_1(a2287)
        & c0_1(a2287)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2286)
        & ~ c0_1(a2286)
        & c1_1(a2286)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2285)
        & c1_1(a2285)
        & c0_1(a2285)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2284)
        & ~ c1_1(a2284)
        & ~ c0_1(a2284)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2282)
        & ~ c0_1(a2282)
        & c2_1(a2282)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a2280)
        & c3_1(a2280)
        & c1_1(a2280)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2279)
        & ~ c2_1(a2279)
        & c0_1(a2279)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2277)
        & c1_1(a2277)
        & c0_1(a2277)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2276)
        & c3_1(a2276)
        & c1_1(a2276)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c1_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c3_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c0_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c0_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( c1_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c2_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c0_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c2_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c3_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c1_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( c3_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c2_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c2_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( ~ c0_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c3_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( ~ c0_1(a2284)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c1_1(a2284)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c3_1(a2284)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f31,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c0_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( c1_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c3_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c1_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( ~ c0_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c2_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c0_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( c2_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c1_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( ~ c0_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( ~ c1_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c2_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c0_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( ~ c1_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c2_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f55,plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c0_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( ~ c1_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c3_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c2_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( ~ c1_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c3_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c2_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( c3_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c0_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( ~ c0_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( ~ c2_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f74,plain,
    ( ~ c3_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( ~ c1_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( ~ c2_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c3_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f80,plain,
    ( c3_1(a2308)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f81,plain,
    ( ~ c1_1(a2308)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f82,plain,
    ( ~ c2_1(a2308)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c1_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( ~ c2_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c3_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( c2_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( c3_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c1_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( c1_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( ~ c0_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c3_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f100,plain,
    ( c3_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f101,plain,
    ( ~ c0_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f102,plain,
    ( ~ c2_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f108,plain,
    ( c0_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f109,plain,
    ( c3_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f110,plain,
    ( ~ c2_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f112,plain,
    ( c3_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( ~ c0_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( ~ c1_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c0_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c1_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c3_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f128,plain,
    ( c1_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f129,plain,
    ( c2_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f130,plain,
    ( c3_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f138,plain,
    ! [X90] :
      ( hskp3
      | hskp2
      | c2_1(X90)
      | c1_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f143,plain,
    ! [X81] :
      ( hskp7
      | hskp6
      | ~ c3_1(X81)
      | c1_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f144,plain,
    ! [X80] :
      ( hskp7
      | hskp8
      | ~ c3_1(X80)
      | c1_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f147,plain,
    ! [X74] :
      ( hskp9
      | hskp28
      | c3_1(X74)
      | c2_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f149,plain,
    ! [X72] :
      ( hskp12
      | hskp11
      | c3_1(X72)
      | c2_1(X72)
      | c0_1(X72)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f153,plain,
    ! [X67] :
      ( hskp14
      | hskp1
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f155,plain,
    ! [X65] :
      ( hskp17
      | hskp14
      | ~ c2_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f161,plain,
    ! [X54] :
      ( hskp17
      | hskp14
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f166,plain,
    ! [X46] :
      ( hskp13
      | hskp12
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f168,plain,
    ! [X44] :
      ( hskp20
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f174,plain,
    ! [X33] :
      ( hskp12
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f179,plain,
    ! [X23] :
      ( hskp4
      | hskp19
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f180,plain,
    ! [X22] :
      ( hskp4
      | hskp1
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f182,plain,
    ! [X20] :
      ( hskp4
      | hskp3
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f187,plain,
    ! [X12] :
      ( hskp19
      | hskp12
      | ~ c3_1(X12)
      | ~ c0_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f190,plain,
    ! [X8] :
      ( hskp16
      | hskp21
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f191,plain,
    ! [X7] :
      ( hskp4
      | hskp2
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f193,plain,
    ! [X5] :
      ( hskp19
      | hskp7
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f194,plain,
    ! [X4] :
      ( hskp18
      | hskp2
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f197,plain,
    ! [X1] :
      ( hskp23
      | hskp25
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f198,plain,
    ! [X0] :
      ( hskp9
      | hskp27
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f201,plain,
    ( hskp16
    | hskp26
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f202,plain,
    ( hskp20
    | hskp14
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f203,plain,
    ( hskp30
    | hskp11
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f204,plain,
    ( hskp0
    | hskp12
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_54,negated_conjecture,
    ( hskp0
    | hskp12
    | hskp6 ),
    inference(cnf_transformation,[],[f204]) ).

cnf(c_55,negated_conjecture,
    ( hskp6
    | hskp30
    | hskp11 ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_56,negated_conjecture,
    ( hskp14
    | hskp20
    | hskp1 ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_57,negated_conjecture,
    ( hskp16
    | hskp26
    | hskp28 ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_60,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp27
    | hskp9 ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_61,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp23
    | hskp25 ),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_64,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp18
    | hskp2 ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_65,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp19
    | hskp7 ),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_67,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp2
    | hskp4 ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_68,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp16
    | hskp21 ),
    inference(cnf_transformation,[],[f190]) ).

cnf(c_69,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | hskp3 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_71,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp19
    | hskp12 ),
    inference(cnf_transformation,[],[f187]) ).

cnf(c_72,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp26 ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_74,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp25 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_75,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp14 ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_76,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp3
    | hskp4 ),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_78,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp1
    | hskp4 ),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_79,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp19
    | hskp4 ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_80,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_82,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_83,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp23 ),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_84,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp12 ),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_85,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_86,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp23 ),
    inference(cnf_transformation,[],[f219]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_90,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp20 ),
    inference(cnf_transformation,[],[f168]) ).

cnf(c_92,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f166]) ).

cnf(c_95,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp30 ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_96,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp8 ),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_97,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp14
    | hskp17 ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_98,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_100,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | hskp18 ),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_101,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_102,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp17 ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_103,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp14
    | hskp17 ),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_105,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp14
    | hskp1 ),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_106,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp11 ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_109,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp12
    | hskp11 ),
    inference(cnf_transformation,[],[f149]) ).

cnf(c_111,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp28
    | hskp9 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_113,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_114,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp8
    | hskp7 ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_115,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp6 ),
    inference(cnf_transformation,[],[f143]) ).

cnf(c_116,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | hskp5 ),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_117,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_118,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_120,negated_conjecture,
    ( ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp3
    | hskp2 ),
    inference(cnf_transformation,[],[f138]) ).

cnf(c_121,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_122,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f236]) ).

cnf(c_123,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_128,negated_conjecture,
    ( ~ hskp30
    | c3_1(a2315) ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp30
    | c2_1(a2315) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp30
    | c1_1(a2315) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_136,negated_conjecture,
    ( ~ hskp28
    | c3_1(a2278) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp28
    | c1_1(a2278) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp28
    | c0_1(a2278) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_144,negated_conjecture,
    ( ~ c1_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_145,negated_conjecture,
    ( ~ c0_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_146,negated_conjecture,
    ( ~ hskp26
    | c3_1(a2345) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_148,negated_conjecture,
    ( ~ c2_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_149,negated_conjecture,
    ( ~ hskp25
    | c3_1(a2342) ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_150,negated_conjecture,
    ( ~ hskp25
    | c0_1(a2342) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_156,negated_conjecture,
    ( ~ c2_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_157,negated_conjecture,
    ( ~ c0_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_158,negated_conjecture,
    ( ~ hskp23
    | c3_1(a2327) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_164,negated_conjecture,
    ( ~ c3_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_165,negated_conjecture,
    ( ~ c0_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_166,negated_conjecture,
    ( ~ hskp21
    | c1_1(a2324) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_168,negated_conjecture,
    ( ~ c1_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_169,negated_conjecture,
    ( ~ hskp20
    | c3_1(a2323) ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_170,negated_conjecture,
    ( ~ hskp20
    | c2_1(a2323) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_172,negated_conjecture,
    ( ~ c3_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_173,negated_conjecture,
    ( ~ c2_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_174,negated_conjecture,
    ( ~ hskp19
    | c1_1(a2316) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_176,negated_conjecture,
    ( ~ c2_1(a2308)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_177,negated_conjecture,
    ( ~ c1_1(a2308)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_178,negated_conjecture,
    ( ~ hskp18
    | c3_1(a2308) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_180,negated_conjecture,
    ( ~ c3_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_181,negated_conjecture,
    ( ~ c2_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_182,negated_conjecture,
    ( ~ c1_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_184,negated_conjecture,
    ( ~ c3_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_185,negated_conjecture,
    ( ~ c2_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_186,negated_conjecture,
    ( ~ c0_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_192,negated_conjecture,
    ( ~ c0_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_193,negated_conjecture,
    ( ~ hskp14
    | c3_1(a2302) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_194,negated_conjecture,
    ( ~ hskp14
    | c2_1(a2302) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_196,negated_conjecture,
    ( ~ c3_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_197,negated_conjecture,
    ( ~ c1_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_198,negated_conjecture,
    ( ~ hskp13
    | c2_1(a2299) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_200,negated_conjecture,
    ( ~ c3_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_201,negated_conjecture,
    ( ~ c1_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_202,negated_conjecture,
    ( ~ hskp12
    | c0_1(a2295) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp12
    | ndr1_0 ),
    inference(cnf_transformation,[],[f55]) ).

cnf(c_204,negated_conjecture,
    ( ~ c2_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_205,negated_conjecture,
    ( ~ c1_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_206,negated_conjecture,
    ( ~ hskp11
    | c0_1(a2294) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_212,negated_conjecture,
    ( ~ c2_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_213,negated_conjecture,
    ( ~ c1_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_214,negated_conjecture,
    ( ~ c0_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_216,negated_conjecture,
    ( ~ c1_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_217,negated_conjecture,
    ( ~ hskp8
    | c2_1(a2287) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_218,negated_conjecture,
    ( ~ hskp8
    | c0_1(a2287) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_220,negated_conjecture,
    ( ~ c2_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_221,negated_conjecture,
    ( ~ c0_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_222,negated_conjecture,
    ( ~ hskp7
    | c1_1(a2286) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_224,negated_conjecture,
    ( ~ c3_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_225,negated_conjecture,
    ( ~ hskp6
    | c1_1(a2285) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_226,negated_conjecture,
    ( ~ hskp6
    | c0_1(a2285) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_228,negated_conjecture,
    ( ~ c3_1(a2284)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_229,negated_conjecture,
    ( ~ c1_1(a2284)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_230,negated_conjecture,
    ( ~ c0_1(a2284)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_232,negated_conjecture,
    ( ~ c3_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_233,negated_conjecture,
    ( ~ c0_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_234,negated_conjecture,
    ( ~ hskp4
    | c2_1(a2282) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_236,negated_conjecture,
    ( ~ c2_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_237,negated_conjecture,
    ( ~ hskp3
    | c3_1(a2280) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_238,negated_conjecture,
    ( ~ hskp3
    | c1_1(a2280) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_240,negated_conjecture,
    ( ~ c3_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_241,negated_conjecture,
    ( ~ c2_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_242,negated_conjecture,
    ( ~ hskp2
    | c0_1(a2279) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_244,negated_conjecture,
    ( ~ c2_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_245,negated_conjecture,
    ( ~ hskp1
    | c1_1(a2277) ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_246,negated_conjecture,
    ( ~ hskp1
    | c0_1(a2277) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_248,negated_conjecture,
    ( ~ c0_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_249,negated_conjecture,
    ( ~ hskp0
    | c3_1(a2276) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_250,negated_conjecture,
    ( ~ hskp0
    | c1_1(a2276) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_251,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_266,plain,
    ( ~ c3_1(a2276)
    | ~ c2_1(a2276)
    | ~ ndr1_0
    | c0_1(a2276)
    | hskp20 ),
    inference(instantiation,[status(thm)],[c_90]) ).

cnf(c_292,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_251,c_251,c_227,c_203,c_54]) ).

cnf(c_356,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp3
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_120,c_251,c_227,c_203,c_54,c_120]) ).

cnf(c_362,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp28
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_251,c_227,c_203,c_54,c_111]) ).

cnf(c_368,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp12
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_251,c_227,c_203,c_54,c_109]) ).

cnf(c_374,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_251,c_227,c_203,c_54,c_84]) ).

cnf(c_377,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp7
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_115,c_251,c_227,c_203,c_54,c_115]) ).

cnf(c_380,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp8
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_251,c_227,c_203,c_54,c_114]) ).

cnf(c_389,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp14
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_105,c_251,c_227,c_203,c_54,c_105]) ).

cnf(c_395,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp14
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_251,c_227,c_203,c_54,c_103]) ).

cnf(c_398,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_251,c_227,c_203,c_54,c_90]) ).

cnf(c_399,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_398]) ).

cnf(c_407,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp14
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_251,c_227,c_203,c_54,c_97]) ).

cnf(c_408,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp14
    | hskp17 ),
    inference(renaming,[status(thm)],[c_407]) ).

cnf(c_413,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_251,c_227,c_203,c_54,c_92]) ).

cnf(c_414,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp12 ),
    inference(renaming,[status(thm)],[c_413]) ).

cnf(c_419,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_79,c_251,c_227,c_203,c_54,c_79]) ).

cnf(c_420,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp4 ),
    inference(renaming,[status(thm)],[c_419]) ).

cnf(c_422,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp1
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_251,c_227,c_203,c_54,c_78]) ).

cnf(c_423,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp1
    | hskp4 ),
    inference(renaming,[status(thm)],[c_422]) ).

cnf(c_428,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp3
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_251,c_227,c_203,c_54,c_76]) ).

cnf(c_429,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp3
    | hskp4 ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_431,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp19
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_251,c_227,c_203,c_54,c_71]) ).

cnf(c_432,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp19
    | hskp12 ),
    inference(renaming,[status(thm)],[c_431]) ).

cnf(c_437,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp16
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_251,c_227,c_203,c_54,c_68]) ).

cnf(c_438,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp16
    | hskp21 ),
    inference(renaming,[status(thm)],[c_437]) ).

cnf(c_440,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp2
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_251,c_227,c_203,c_54,c_67]) ).

cnf(c_441,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp2
    | hskp4 ),
    inference(renaming,[status(thm)],[c_440]) ).

cnf(c_446,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp19
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_65,c_251,c_227,c_203,c_54,c_65]) ).

cnf(c_447,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp19
    | hskp7 ),
    inference(renaming,[status(thm)],[c_446]) ).

cnf(c_449,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | hskp18
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_251,c_227,c_203,c_54,c_64]) ).

cnf(c_450,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp18
    | hskp2 ),
    inference(renaming,[status(thm)],[c_449]) ).

cnf(c_458,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp23
    | hskp25 ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_251,c_227,c_203,c_54,c_61]) ).

cnf(c_459,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | hskp23
    | hskp25 ),
    inference(renaming,[status(thm)],[c_458]) ).

cnf(c_461,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp27
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_251,c_227,c_203,c_54,c_60]) ).

cnf(c_462,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | hskp27
    | hskp9 ),
    inference(renaming,[status(thm)],[c_461]) ).

cnf(c_464,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_123,c_251,c_227,c_203,c_54,c_123]) ).

cnf(c_467,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_122,c_251,c_227,c_203,c_54,c_122]) ).

cnf(c_471,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_251,c_227,c_203,c_54,c_121]) ).

cnf(c_472,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_471]) ).

cnf(c_473,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_251,c_227,c_203,c_54,c_106]) ).

cnf(c_474,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_473]) ).

cnf(c_475,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_251,c_227,c_203,c_54,c_86]) ).

cnf(c_476,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp23 ),
    inference(renaming,[status(thm)],[c_475]) ).

cnf(c_478,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_117,c_251,c_227,c_203,c_54,c_117]) ).

cnf(c_479,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_478]) ).

cnf(c_480,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_116,c_251,c_227,c_203,c_54,c_116]) ).

cnf(c_481,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X0)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_480]) ).

cnf(c_482,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_251,c_227,c_203,c_54,c_102]) ).

cnf(c_483,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_482]) ).

cnf(c_484,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_251,c_227,c_203,c_54,c_96]) ).

cnf(c_485,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_484]) ).

cnf(c_486,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp30 ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_251,c_227,c_203,c_54,c_95]) ).

cnf(c_487,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp30 ),
    inference(renaming,[status(thm)],[c_486]) ).

cnf(c_490,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_251,c_227,c_203,c_54,c_83]) ).

cnf(c_491,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp23 ),
    inference(renaming,[status(thm)],[c_490]) ).

cnf(c_492,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_251,c_227,c_203,c_54,c_75]) ).

cnf(c_493,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp14 ),
    inference(renaming,[status(thm)],[c_492]) ).

cnf(c_495,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp25 ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_251,c_227,c_203,c_54,c_74]) ).

cnf(c_496,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp25 ),
    inference(renaming,[status(thm)],[c_495]) ).

cnf(c_497,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_251,c_227,c_203,c_54,c_98]) ).

cnf(c_498,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_497]) ).

cnf(c_502,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_251,c_227,c_203,c_54,c_85]) ).

cnf(c_503,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_502]) ).

cnf(c_504,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_82,c_251,c_227,c_203,c_54,c_82]) ).

cnf(c_505,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_504]) ).

cnf(c_508,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_251,c_227,c_203,c_54,c_72]) ).

cnf(c_509,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp26 ),
    inference(renaming,[status(thm)],[c_508]) ).

cnf(c_510,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X1)
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_251,c_227,c_203,c_54,c_100]) ).

cnf(c_511,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | hskp18 ),
    inference(renaming,[status(thm)],[c_510]) ).

cnf(c_512,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_251,c_227,c_203,c_54,c_69]) ).

cnf(c_513,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_512]) ).

cnf(c_514,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_113,c_251,c_227,c_203,c_54,c_113]) ).

cnf(c_515,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_514]) ).

cnf(c_516,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_118,c_292]) ).

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

cnf(c_518,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_251,c_227,c_203,c_54,c_89]) ).

cnf(c_519,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_518]) ).

cnf(c_520,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_251,c_227,c_203,c_54,c_101]) ).

cnf(c_521,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_520]) ).

cnf(c_522,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_251,c_227,c_203,c_54,c_80]) ).

cnf(c_523,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_522]) ).

cnf(c_2257,plain,
    ( c3_1(a2345)
    | hskp16
    | hskp28 ),
    inference(resolution,[status(thm)],[c_57,c_146]) ).

cnf(c_2267,plain,
    ( ~ c0_1(a2345)
    | hskp16
    | hskp28 ),
    inference(resolution,[status(thm)],[c_57,c_145]) ).

cnf(c_2277,plain,
    ( ~ c1_1(a2345)
    | hskp16
    | hskp28 ),
    inference(resolution,[status(thm)],[c_57,c_144]) ).

cnf(c_3466,plain,
    ( c0_1(a2285)
    | hskp30
    | hskp11 ),
    inference(resolution,[status(thm)],[c_55,c_226]) ).

cnf(c_3476,plain,
    ( c1_1(a2285)
    | hskp30
    | hskp11 ),
    inference(resolution,[status(thm)],[c_55,c_225]) ).

cnf(c_3486,plain,
    ( ~ c3_1(a2285)
    | hskp30
    | hskp11 ),
    inference(resolution,[status(thm)],[c_55,c_224]) ).

cnf(c_3859,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(a2306)
    | c0_1(X0)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_408,c_182]) ).

cnf(c_3860,plain,
    ( ~ c3_1(a2276)
    | ~ c1_1(a2306)
    | ~ c1_1(a2276)
    | c0_1(a2276)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_3859]) ).

cnf(c_3876,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(a2306)
    | c0_1(X0)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_408,c_181]) ).

cnf(c_3877,plain,
    ( ~ c3_1(a2276)
    | ~ c2_1(a2306)
    | ~ c1_1(a2276)
    | c0_1(a2276)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_3876]) ).

cnf(c_3893,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(a2306)
    | c0_1(X0)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_408,c_180]) ).

cnf(c_3894,plain,
    ( ~ c3_1(a2306)
    | ~ c3_1(a2276)
    | ~ c1_1(a2276)
    | c0_1(a2276)
    | hskp14 ),
    inference(instantiation,[status(thm)],[c_3893]) ).

cnf(c_5542,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c2_1(a2299)
    | hskp12 ),
    inference(resolution,[status(thm)],[c_414,c_198]) ).

cnf(c_5543,plain,
    ( ~ c3_1(a2276)
    | ~ c2_1(a2276)
    | c2_1(a2299)
    | c0_1(a2276)
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_5542]) ).

cnf(c_5559,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(a2299)
    | c0_1(X0)
    | hskp12 ),
    inference(resolution,[status(thm)],[c_414,c_197]) ).

cnf(c_5560,plain,
    ( ~ c3_1(a2276)
    | ~ c2_1(a2276)
    | ~ c1_1(a2299)
    | c0_1(a2276)
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_5559]) ).

cnf(c_5576,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(a2299)
    | c0_1(X0)
    | hskp12 ),
    inference(resolution,[status(thm)],[c_414,c_196]) ).

cnf(c_5577,plain,
    ( ~ c3_1(a2299)
    | ~ c3_1(a2276)
    | ~ c2_1(a2276)
    | c0_1(a2276)
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_5576]) ).

cnf(c_8074,plain,
    ( c2_1(a2302)
    | hskp20
    | hskp1 ),
    inference(resolution,[status(thm)],[c_56,c_194]) ).

cnf(c_8084,plain,
    ( c3_1(a2302)
    | hskp20
    | hskp1 ),
    inference(resolution,[status(thm)],[c_56,c_193]) ).

cnf(c_8094,plain,
    ( ~ c0_1(a2302)
    | hskp20
    | hskp1 ),
    inference(resolution,[status(thm)],[c_56,c_192]) ).

cnf(c_8557,plain,
    ( c0_1(a2277)
    | hskp14
    | hskp20 ),
    inference(resolution,[status(thm)],[c_56,c_246]) ).

cnf(c_8567,plain,
    ( c1_1(a2277)
    | hskp14
    | hskp20 ),
    inference(resolution,[status(thm)],[c_56,c_245]) ).

cnf(c_8577,plain,
    ( ~ c2_1(a2277)
    | hskp14
    | hskp20 ),
    inference(resolution,[status(thm)],[c_56,c_244]) ).

cnf(c_9490,plain,
    ( c1_1(a2276)
    | hskp12
    | hskp6 ),
    inference(resolution,[status(thm)],[c_54,c_250]) ).

cnf(c_9500,plain,
    ( c3_1(a2276)
    | hskp12
    | hskp6 ),
    inference(resolution,[status(thm)],[c_54,c_249]) ).

cnf(c_9510,plain,
    ( ~ c0_1(a2276)
    | hskp12
    | hskp6 ),
    inference(resolution,[status(thm)],[c_54,c_248]) ).

cnf(c_18529,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_523]) ).

cnf(c_18530,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_523]) ).

cnf(c_18531,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_523]) ).

cnf(c_18532,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_523]) ).

cnf(c_18533,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_521]) ).

cnf(c_18534,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_521]) ).

cnf(c_18535,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_521]) ).

cnf(c_18536,negated_conjecture,
    ( sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_521]) ).

cnf(c_18537,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_519]) ).

cnf(c_18538,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_519]) ).

cnf(c_18539,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_519]) ).

cnf(c_18540,negated_conjecture,
    ( sP6_iProver_split
    | sP7_iProver_split
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_519]) ).

cnf(c_18541,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_517]) ).

cnf(c_18542,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_517]) ).

cnf(c_18543,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_517]) ).

cnf(c_18544,negated_conjecture,
    ( sP9_iProver_split
    | sP10_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_517]) ).

cnf(c_18545,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_515]) ).

cnf(c_18546,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_515]) ).

cnf(c_18547,negated_conjecture,
    ( sP4_iProver_split
    | sP12_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_515]) ).

cnf(c_18548,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_513]) ).

cnf(c_18549,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_513]) ).

cnf(c_18550,negated_conjecture,
    ( hskp3
    | sP14_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_513]) ).

cnf(c_18551,negated_conjecture,
    ( hskp18
    | sP4_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_511]) ).

cnf(c_18552,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_509]) ).

cnf(c_18556,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_505]) ).

cnf(c_18557,negated_conjecture,
    ( hskp0
    | sP2_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_505]) ).

cnf(c_18558,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_503]) ).

cnf(c_18559,negated_conjecture,
    ( hskp1
    | sP6_iProver_split
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_503]) ).

cnf(c_18562,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_498]) ).

cnf(c_18563,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_498]) ).

cnf(c_18564,negated_conjecture,
    ( hskp0
    | sP21_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

cnf(c_18565,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_496]) ).

cnf(c_18567,negated_conjecture,
    ( hskp14
    | sP0_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_493]) ).

cnf(c_18568,negated_conjecture,
    ( hskp23
    | sP14_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_491]) ).

cnf(c_18570,negated_conjecture,
    ( hskp30
    | sP18_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_487]) ).

cnf(c_18571,negated_conjecture,
    ( hskp8
    | sP19_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_485]) ).

cnf(c_18572,negated_conjecture,
    ( hskp17
    | sP4_iProver_split
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).

cnf(c_18573,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_481]) ).

cnf(c_18574,negated_conjecture,
    ( hskp5
    | sP3_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

cnf(c_18575,negated_conjecture,
    ( hskp1
    | sP10_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).

cnf(c_18576,negated_conjecture,
    ( hskp23
    | sP19_iProver_split
    | sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

cnf(c_18577,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_474]) ).

cnf(c_18579,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_split])],[c_472]) ).

cnf(c_18580,negated_conjecture,
    ( hskp28
    | sP11_iProver_split
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

cnf(c_18582,negated_conjecture,
    ( hskp1
    | sP18_iProver_split
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

cnf(c_18583,negated_conjecture,
    ( hskp0
    | sP24_iProver_split
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

cnf(c_18584,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_462]) ).

cnf(c_18586,negated_conjecture,
    ( hskp23
    | hskp25
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).

cnf(c_18589,negated_conjecture,
    ( hskp18
    | hskp2
    | sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

cnf(c_18590,negated_conjecture,
    ( hskp19
    | hskp7
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_447]) ).

cnf(c_18592,negated_conjecture,
    ( hskp2
    | hskp4
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

cnf(c_18593,negated_conjecture,
    ( hskp16
    | hskp21
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

cnf(c_18595,negated_conjecture,
    ( hskp19
    | hskp12
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

cnf(c_18596,negated_conjecture,
    ( hskp3
    | hskp4
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_18598,negated_conjecture,
    ( hskp1
    | hskp4
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).

cnf(c_18599,negated_conjecture,
    ( hskp19
    | hskp4
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_420]) ).

cnf(c_18601,negated_conjecture,
    ( hskp13
    | hskp12
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_414]) ).

cnf(c_18606,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_395]) ).

cnf(c_18607,negated_conjecture,
    ( hskp14
    | hskp17
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

cnf(c_18609,negated_conjecture,
    ( hskp14
    | hskp1
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

cnf(c_18613,negated_conjecture,
    ( hskp8
    | hskp7
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_380]) ).

cnf(c_18614,negated_conjecture,
    ( hskp7
    | hskp6
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

cnf(c_18616,negated_conjecture,
    ( hskp12
    | hskp11
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_368]) ).

cnf(c_18618,negated_conjecture,
    ( hskp28
    | hskp9
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

cnf(c_18620,negated_conjecture,
    ( hskp3
    | hskp2
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

cnf(c_18625,plain,
    ( ~ c3_1(a2276)
    | ~ sP13_iProver_split
    | c2_1(a2276)
    | c0_1(a2276) ),
    inference(instantiation,[status(thm)],[c_18546]) ).

cnf(c_18638,plain,
    ( ~ c2_1(a2276)
    | ~ c1_1(a2276)
    | ~ sP4_iProver_split
    | c0_1(a2276) ),
    inference(instantiation,[status(thm)],[c_18534]) ).

cnf(c_18642,plain,
    ( ~ c3_1(a2276)
    | ~ c1_1(a2276)
    | ~ sP11_iProver_split
    | c2_1(a2276) ),
    inference(instantiation,[status(thm)],[c_18543]) ).

cnf(c_18655,plain,
    ( ~ c1_1(a2278)
    | ~ c0_1(a2278)
    | ~ sP0_iProver_split
    | c2_1(a2278) ),
    inference(instantiation,[status(thm)],[c_18529]) ).

cnf(c_18660,plain,
    ( ~ c1_1(a2285)
    | ~ c0_1(a2285)
    | ~ sP0_iProver_split
    | c2_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18529]) ).

cnf(c_18661,plain,
    ( ~ c1_1(a2277)
    | ~ c0_1(a2277)
    | ~ sP0_iProver_split
    | c2_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18529]) ).

cnf(c_18662,plain,
    ( ~ c2_1(a2315)
    | ~ c1_1(a2315)
    | ~ sP4_iProver_split
    | c0_1(a2315) ),
    inference(instantiation,[status(thm)],[c_18534]) ).

cnf(c_18665,plain,
    ( ~ c2_1(a2282)
    | ~ c1_1(a2282)
    | ~ sP4_iProver_split
    | c0_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18534]) ).

cnf(c_18666,plain,
    ( ~ c2_1(a2315)
    | ~ c1_1(a2315)
    | ~ c0_1(a2315)
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_18537]) ).

cnf(c_18677,plain,
    ( ~ c2_1(a2278)
    | ~ c1_1(a2278)
    | ~ c0_1(a2278)
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_18537]) ).

cnf(c_18682,plain,
    ( ~ c2_1(a2302)
    | ~ c1_1(a2302)
    | ~ sP4_iProver_split
    | c0_1(a2302) ),
    inference(instantiation,[status(thm)],[c_18534]) ).

cnf(c_18683,plain,
    ( ~ c3_1(a2302)
    | ~ c2_1(a2302)
    | c0_1(a2302)
    | hskp20 ),
    inference(instantiation,[status(thm)],[c_399]) ).

cnf(c_18685,plain,
    ( ~ c3_1(a2342)
    | ~ c0_1(a2342)
    | ~ sP1_iProver_split
    | c1_1(a2342) ),
    inference(instantiation,[status(thm)],[c_18530]) ).

cnf(c_18687,plain,
    ( ~ c3_1(a2294)
    | ~ c0_1(a2294)
    | ~ sP1_iProver_split
    | c1_1(a2294) ),
    inference(instantiation,[status(thm)],[c_18530]) ).

cnf(c_18688,plain,
    ( ~ c3_1(a2287)
    | ~ c0_1(a2287)
    | ~ sP1_iProver_split
    | c1_1(a2287) ),
    inference(instantiation,[status(thm)],[c_18530]) ).

cnf(c_18691,plain,
    ( ~ c3_1(a2323)
    | ~ c2_1(a2323)
    | ~ sP9_iProver_split
    | c1_1(a2323) ),
    inference(instantiation,[status(thm)],[c_18541]) ).

cnf(c_18698,plain,
    ( ~ c2_1(a2299)
    | ~ c0_1(a2299)
    | ~ sP3_iProver_split
    | c3_1(a2299) ),
    inference(instantiation,[status(thm)],[c_18533]) ).

cnf(c_18699,plain,
    ( ~ c2_1(a2287)
    | ~ c0_1(a2287)
    | ~ sP3_iProver_split
    | c3_1(a2287) ),
    inference(instantiation,[status(thm)],[c_18533]) ).

cnf(c_18701,plain,
    ( ~ sP12_iProver_split
    | c3_1(a2324)
    | c2_1(a2324)
    | c0_1(a2324) ),
    inference(instantiation,[status(thm)],[c_18545]) ).

cnf(c_18702,plain,
    ( ~ sP12_iProver_split
    | c3_1(a2316)
    | c2_1(a2316)
    | c0_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18545]) ).

cnf(c_18703,plain,
    ( ~ sP12_iProver_split
    | c3_1(a2306)
    | c2_1(a2306)
    | c0_1(a2306) ),
    inference(instantiation,[status(thm)],[c_18545]) ).

cnf(c_18704,plain,
    ( ~ sP12_iProver_split
    | c3_1(a2304)
    | c2_1(a2304)
    | c0_1(a2304) ),
    inference(instantiation,[status(thm)],[c_18545]) ).

cnf(c_18708,plain,
    ( ~ sP12_iProver_split
    | c3_1(a2284)
    | c2_1(a2284)
    | c0_1(a2284) ),
    inference(instantiation,[status(thm)],[c_18545]) ).

cnf(c_18713,plain,
    ( ~ c3_1(a2278)
    | ~ c1_1(a2278)
    | ~ c0_1(a2278)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18531]) ).

cnf(c_18719,plain,
    ( ~ c3_1(a2277)
    | ~ c1_1(a2277)
    | ~ c0_1(a2277)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18531]) ).

cnf(c_18720,plain,
    ( ~ c2_1(a2345)
    | ~ sP10_iProver_split
    | c1_1(a2345)
    | c0_1(a2345) ),
    inference(instantiation,[status(thm)],[c_18542]) ).

cnf(c_18721,plain,
    ( ~ c2_1(a2323)
    | ~ sP10_iProver_split
    | c1_1(a2323)
    | c0_1(a2323) ),
    inference(instantiation,[status(thm)],[c_18542]) ).

cnf(c_18724,plain,
    ( ~ c2_1(a2299)
    | ~ sP10_iProver_split
    | c1_1(a2299)
    | c0_1(a2299) ),
    inference(instantiation,[status(thm)],[c_18542]) ).

cnf(c_18729,plain,
    ( ~ c2_1(a2284)
    | ~ sP10_iProver_split
    | c1_1(a2284)
    | c0_1(a2284) ),
    inference(instantiation,[status(thm)],[c_18542]) ).

cnf(c_18732,plain,
    ( ~ c3_1(a2327)
    | ~ sP13_iProver_split
    | c2_1(a2327)
    | c0_1(a2327) ),
    inference(instantiation,[status(thm)],[c_18546]) ).

cnf(c_18740,plain,
    ( ~ c3_1(a2280)
    | ~ sP13_iProver_split
    | c2_1(a2280)
    | c0_1(a2280) ),
    inference(instantiation,[status(thm)],[c_18546]) ).

cnf(c_18748,plain,
    ( ~ c2_1(a2285)
    | ~ c1_1(a2285)
    | ~ c0_1(a2285)
    | ~ sP6_iProver_split ),
    inference(instantiation,[status(thm)],[c_18537]) ).

cnf(c_18750,plain,
    ( ~ c2_1(a2324)
    | ~ c1_1(a2324)
    | ~ sP5_iProver_split
    | c3_1(a2324) ),
    inference(instantiation,[status(thm)],[c_18535]) ).

cnf(c_18756,plain,
    ( ~ c2_1(a2285)
    | ~ c1_1(a2285)
    | ~ sP5_iProver_split
    | c3_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18535]) ).

cnf(c_18758,plain,
    ( ~ c2_1(a2282)
    | ~ c1_1(a2282)
    | ~ sP5_iProver_split
    | c3_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18535]) ).

cnf(c_18775,plain,
    ( ~ c3_1(a2302)
    | ~ c2_1(a2302)
    | ~ sP22_iProver_split
    | c0_1(a2302) ),
    inference(instantiation,[status(thm)],[c_18563]) ).

cnf(c_18780,plain,
    ( ~ c2_1(a2282)
    | ~ sP10_iProver_split
    | c1_1(a2282)
    | c0_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18542]) ).

cnf(c_18781,plain,
    ( ~ c2_1(a2302)
    | ~ sP10_iProver_split
    | c1_1(a2302)
    | c0_1(a2302) ),
    inference(instantiation,[status(thm)],[c_18542]) ).

cnf(c_18788,plain,
    ( ~ c0_1(a2295)
    | ~ sP23_iProver_split
    | c3_1(a2295)
    | c2_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18565]) ).

cnf(c_18789,plain,
    ( ~ c0_1(a2294)
    | ~ sP23_iProver_split
    | c3_1(a2294)
    | c2_1(a2294) ),
    inference(instantiation,[status(thm)],[c_18565]) ).

cnf(c_18791,plain,
    ( ~ c0_1(a2285)
    | ~ sP23_iProver_split
    | c3_1(a2285)
    | c2_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18565]) ).

cnf(c_18792,plain,
    ( ~ c0_1(a2277)
    | ~ sP23_iProver_split
    | c3_1(a2277)
    | c2_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18565]) ).

cnf(c_18829,plain,
    ( ~ c0_1(a2279)
    | ~ sP23_iProver_split
    | c3_1(a2279)
    | c2_1(a2279) ),
    inference(instantiation,[status(thm)],[c_18565]) ).

cnf(c_18854,plain,
    ( ~ sP26_iProver_split
    | c2_1(a2345)
    | c1_1(a2345)
    | c0_1(a2345) ),
    inference(instantiation,[status(thm)],[c_18579]) ).

cnf(c_18857,plain,
    ( ~ sP26_iProver_split
    | c2_1(a2308)
    | c1_1(a2308)
    | c0_1(a2308) ),
    inference(instantiation,[status(thm)],[c_18579]) ).

cnf(c_18858,plain,
    ( ~ sP26_iProver_split
    | c2_1(a2306)
    | c1_1(a2306)
    | c0_1(a2306) ),
    inference(instantiation,[status(thm)],[c_18579]) ).

cnf(c_18862,plain,
    ( ~ sP26_iProver_split
    | c2_1(a2291)
    | c1_1(a2291)
    | c0_1(a2291) ),
    inference(instantiation,[status(thm)],[c_18579]) ).

cnf(c_18867,plain,
    ( ~ c3_1(a2315)
    | ~ c2_1(a2315)
    | ~ c1_1(a2315)
    | ~ sP27_iProver_split ),
    inference(instantiation,[status(thm)],[c_18584]) ).

cnf(c_18874,plain,
    ( ~ sP7_iProver_split
    | c3_1(a2306)
    | c2_1(a2306)
    | c1_1(a2306) ),
    inference(instantiation,[status(thm)],[c_18538]) ).

cnf(c_18898,plain,
    ( ~ c3_1(a2308)
    | ~ c0_1(a2308)
    | ~ sP1_iProver_split
    | c1_1(a2308) ),
    inference(instantiation,[status(thm)],[c_18530]) ).

cnf(c_18903,plain,
    ( ~ c3_1(a2280)
    | ~ c1_1(a2280)
    | ~ c0_1(a2280)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_18531]) ).

cnf(c_18905,plain,
    ( ~ c1_1(a2280)
    | ~ c0_1(a2280)
    | ~ sP0_iProver_split
    | c2_1(a2280) ),
    inference(instantiation,[status(thm)],[c_18529]) ).

cnf(c_18939,plain,
    ( ~ c1_1(a2285)
    | ~ c0_1(a2285)
    | ~ sP14_iProver_split
    | c3_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18548]) ).

cnf(c_18940,plain,
    ( ~ c1_1(a2279)
    | ~ c0_1(a2279)
    | ~ sP14_iProver_split
    | c3_1(a2279) ),
    inference(instantiation,[status(thm)],[c_18548]) ).

cnf(c_18941,plain,
    ( ~ c1_1(a2277)
    | ~ c0_1(a2277)
    | ~ sP14_iProver_split
    | c3_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18548]) ).

cnf(c_18973,plain,
    ( ~ c1_1(a2316)
    | ~ sP16_iProver_split
    | c3_1(a2316)
    | c2_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18552]) ).

cnf(c_18978,plain,
    ( ~ c1_1(a2285)
    | ~ sP16_iProver_split
    | c3_1(a2285)
    | c2_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18552]) ).

cnf(c_18981,plain,
    ( ~ c1_1(a2279)
    | ~ sP16_iProver_split
    | c3_1(a2279)
    | c2_1(a2279) ),
    inference(instantiation,[status(thm)],[c_18552]) ).

cnf(c_18985,plain,
    ( ~ c1_1(a2286)
    | ~ sP16_iProver_split
    | c3_1(a2286)
    | c2_1(a2286) ),
    inference(instantiation,[status(thm)],[c_18552]) ).

cnf(c_18991,plain,
    ( ~ c3_1(a2323)
    | ~ c0_1(a2323)
    | ~ sP1_iProver_split
    | c1_1(a2323) ),
    inference(instantiation,[status(thm)],[c_18530]) ).

cnf(c_19043,plain,
    ( ~ c3_1(a2287)
    | ~ c2_1(a2287)
    | ~ c0_1(a2287)
    | ~ sP15_iProver_split ),
    inference(instantiation,[status(thm)],[c_18549]) ).

cnf(c_19048,plain,
    ( ~ c3_1(a2323)
    | ~ c2_1(a2323)
    | ~ c0_1(a2323)
    | ~ sP15_iProver_split ),
    inference(instantiation,[status(thm)],[c_18549]) ).

cnf(c_19074,plain,
    ( ~ c0_1(a2295)
    | ~ sP19_iProver_split
    | c3_1(a2295)
    | c1_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18558]) ).

cnf(c_19078,plain,
    ( ~ c0_1(a2279)
    | ~ sP19_iProver_split
    | c3_1(a2279)
    | c1_1(a2279) ),
    inference(instantiation,[status(thm)],[c_18558]) ).

cnf(c_19080,plain,
    ( ~ c0_1(a2299)
    | ~ sP19_iProver_split
    | c3_1(a2299)
    | c1_1(a2299) ),
    inference(instantiation,[status(thm)],[c_18558]) ).

cnf(c_19097,plain,
    ( ~ c0_1(a2306)
    | ~ sP19_iProver_split
    | c3_1(a2306)
    | c1_1(a2306) ),
    inference(instantiation,[status(thm)],[c_18558]) ).

cnf(c_19101,plain,
    ( ~ c0_1(a2306)
    | ~ sP23_iProver_split
    | c3_1(a2306)
    | c2_1(a2306) ),
    inference(instantiation,[status(thm)],[c_18565]) ).

cnf(c_19124,plain,
    ( ~ c3_1(a2345)
    | ~ sP24_iProver_split
    | c1_1(a2345)
    | c0_1(a2345) ),
    inference(instantiation,[status(thm)],[c_18573]) ).

cnf(c_19125,plain,
    ( ~ c3_1(a2323)
    | ~ sP24_iProver_split
    | c1_1(a2323)
    | c0_1(a2323) ),
    inference(instantiation,[status(thm)],[c_18573]) ).

cnf(c_19161,plain,
    ( ~ sP12_iProver_split
    | c3_1(a2286)
    | c2_1(a2286)
    | c0_1(a2286) ),
    inference(instantiation,[status(thm)],[c_18545]) ).

cnf(c_19179,plain,
    ( ~ c2_1(a2285)
    | ~ c0_1(a2285)
    | ~ sP3_iProver_split
    | c3_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18533]) ).

cnf(c_19193,plain,
    ( ~ c3_1(a2308)
    | ~ c0_1(a2308)
    | ~ sP8_iProver_split
    | c2_1(a2308) ),
    inference(instantiation,[status(thm)],[c_18539]) ).

cnf(c_19199,plain,
    ( ~ c3_1(a2277)
    | ~ c0_1(a2277)
    | ~ sP8_iProver_split
    | c2_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18539]) ).

cnf(c_19204,plain,
    ( ~ c2_1(a2282)
    | ~ sP18_iProver_split
    | c3_1(a2282)
    | c1_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18556]) ).

cnf(c_19221,plain,
    ( ~ c3_1(a2327)
    | ~ c1_1(a2327)
    | ~ sP21_iProver_split
    | c0_1(a2327) ),
    inference(instantiation,[status(thm)],[c_18562]) ).

cnf(c_19248,plain,
    ( ~ c2_1(a2282)
    | ~ sP28_iProver_split
    | c3_1(a2282)
    | c0_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18606]) ).

cnf(c_19251,plain,
    ( ~ c0_1(a2316)
    | ~ sP23_iProver_split
    | c3_1(a2316)
    | c2_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18565]) ).

cnf(c_19264,plain,
    ( ~ c1_1(a2282)
    | ~ sP25_iProver_split
    | c3_1(a2282)
    | c0_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18577]) ).

cnf(c_19345,plain,
    ( ~ c3_1(a2327)
    | ~ sP24_iProver_split
    | c1_1(a2327)
    | c0_1(a2327) ),
    inference(instantiation,[status(thm)],[c_18573]) ).

cnf(c_19347,plain,
    ( ~ sP26_iProver_split
    | c2_1(a2327)
    | c1_1(a2327)
    | c0_1(a2327) ),
    inference(instantiation,[status(thm)],[c_18579]) ).

cnf(c_19397,plain,
    ( ~ c2_1(a2295)
    | ~ sP18_iProver_split
    | c3_1(a2295)
    | c1_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18556]) ).

cnf(c_19399,plain,
    ( ~ c2_1(a2295)
    | ~ c0_1(a2295)
    | ~ sP3_iProver_split
    | c3_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18533]) ).

cnf(c_19419,plain,
    ( ~ c3_1(a2327)
    | ~ c1_1(a2327)
    | ~ sP11_iProver_split
    | c2_1(a2327) ),
    inference(instantiation,[status(thm)],[c_18543]) ).

cnf(c_19423,plain,
    ( ~ c3_1(a2286)
    | ~ c1_1(a2286)
    | ~ sP11_iProver_split
    | c2_1(a2286) ),
    inference(instantiation,[status(thm)],[c_18543]) ).

cnf(c_19424,plain,
    ( ~ c3_1(a2280)
    | ~ c1_1(a2280)
    | ~ sP11_iProver_split
    | c2_1(a2280) ),
    inference(instantiation,[status(thm)],[c_18543]) ).

cnf(c_19426,plain,
    ( ~ c3_1(a2277)
    | ~ c1_1(a2277)
    | ~ sP11_iProver_split
    | c2_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18543]) ).

cnf(c_19479,plain,
    ( ~ c2_1(a2299)
    | ~ sP18_iProver_split
    | c3_1(a2299)
    | c1_1(a2299) ),
    inference(instantiation,[status(thm)],[c_18556]) ).

cnf(c_19480,plain,
    ( ~ c0_1(a2299)
    | c3_1(a2299)
    | c1_1(a2299)
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_374]) ).

cnf(c_19494,plain,
    ( ~ c1_1(a2316)
    | ~ c0_1(a2316)
    | ~ sP0_iProver_split
    | c2_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18529]) ).

cnf(c_19568,plain,
    ( ~ c1_1(a2277)
    | ~ sP16_iProver_split
    | c3_1(a2277)
    | c2_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18552]) ).

cnf(c_19578,plain,
    ( ~ c3_1(a2342)
    | ~ c1_1(a2342)
    | ~ sP11_iProver_split
    | c2_1(a2342) ),
    inference(instantiation,[status(thm)],[c_18543]) ).

cnf(c_19581,plain,
    ( ~ c3_1(a2342)
    | ~ c0_1(a2342)
    | ~ sP8_iProver_split
    | c2_1(a2342) ),
    inference(instantiation,[status(thm)],[c_18539]) ).

cnf(c_19589,plain,
    ( ~ c0_1(a2306)
    | c3_1(a2306)
    | c1_1(a2306)
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_374]) ).

cnf(c_19642,plain,
    ( ~ c3_1(a2278)
    | ~ c1_1(a2278)
    | ~ sP11_iProver_split
    | c2_1(a2278) ),
    inference(instantiation,[status(thm)],[c_18543]) ).

cnf(c_19833,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_19642,c_19589,c_19578,c_19581,c_19568,c_19494,c_19479,c_19480,c_19426,c_19424,c_19423,c_19419,c_19397,c_19399,c_19345,c_19347,c_19264,c_19251,c_19248,c_19221,c_19204,c_19199,c_19193,c_19179,c_19161,c_19125,c_19124,c_19097,c_19101,c_19080,c_19078,c_19074,c_19048,c_19043,c_18991,c_18985,c_18981,c_18978,c_18973,c_18941,c_18940,c_18939,c_18903,c_18905,c_18898,c_18874,c_18867,c_18862,c_18858,c_18857,c_18854,c_18829,c_18792,c_18791,c_18789,c_18788,c_18781,c_18780,c_18775,c_18758,c_18756,c_18750,c_18748,c_18740,c_18732,c_18729,c_18724,c_18721,c_18720,c_18719,c_18713,c_18708,c_18704,c_18703,c_18702,c_18701,c_18699,c_18698,c_18691,c_18688,c_18687,c_18685,c_18682,c_18683,c_18677,c_18666,c_18665,c_18662,c_18661,c_18660,c_18655,c_18642,c_18638,c_18625,c_18620,c_18618,c_18616,c_18614,c_18613,c_18609,c_18607,c_18601,c_18599,c_18598,c_18596,c_18595,c_18593,c_18592,c_18590,c_18589,c_18586,c_18583,c_18582,c_18580,c_18576,c_18575,c_18574,c_18572,c_18571,c_18570,c_18568,c_18567,c_18564,c_18559,c_18557,c_18551,c_18550,c_18547,c_18544,c_18540,c_18536,c_18532,c_9510,c_9500,c_9490,c_8577,c_8567,c_8557,c_8094,c_8084,c_8074,c_5577,c_5560,c_5543,c_3894,c_3877,c_3860,c_3486,c_3476,c_3466,c_2277,c_2267,c_2257,c_292,c_266,c_148,c_156,c_157,c_164,c_165,c_168,c_172,c_173,c_176,c_177,c_180,c_181,c_182,c_184,c_185,c_186,c_192,c_196,c_197,c_200,c_201,c_204,c_205,c_212,c_213,c_214,c_216,c_220,c_221,c_224,c_228,c_229,c_230,c_232,c_233,c_236,c_240,c_241,c_244,c_248,c_128,c_129,c_130,c_136,c_137,c_138,c_149,c_150,c_158,c_166,c_169,c_170,c_174,c_178,c_193,c_194,c_198,c_202,c_206,c_217,c_218,c_222,c_225,c_226,c_234,c_237,c_238,c_242,c_245,c_246,c_249,c_250]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN487+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat Aug 26 19:53:35 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.60/1.14  % SZS status Started for theBenchmark.p
% 3.60/1.14  % SZS status Theorem for theBenchmark.p
% 3.60/1.14  
% 3.60/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.60/1.14  
% 3.60/1.14  ------  iProver source info
% 3.60/1.14  
% 3.60/1.14  git: date: 2023-05-31 18:12:56 +0000
% 3.60/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.60/1.14  git: non_committed_changes: false
% 3.60/1.14  git: last_make_outside_of_git: false
% 3.60/1.14  
% 3.60/1.14  ------ Parsing...
% 3.60/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.60/1.14  
% 3.60/1.14  
% 3.60/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.60/1.14  
% 3.60/1.14  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.60/1.14   gs_s  sp: 95 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.60/1.14  ------ Proving...
% 3.60/1.14  ------ Problem Properties 
% 3.60/1.14  
% 3.60/1.14  
% 3.60/1.14  clauses                                 201
% 3.60/1.14  conjectures                             201
% 3.60/1.14  EPR                                     201
% 3.60/1.14  Horn                                    112
% 3.60/1.14  unary                                   0
% 3.60/1.14  binary                                  96
% 3.60/1.14  lits                                    539
% 3.60/1.14  lits eq                                 0
% 3.60/1.14  fd_pure                                 0
% 3.60/1.14  fd_pseudo                               0
% 3.60/1.14  fd_cond                                 0
% 3.60/1.14  fd_pseudo_cond                          0
% 3.60/1.14  AC symbols                              0
% 3.60/1.14  
% 3.60/1.14  ------ Schedule EPR non Horn non eq is on
% 3.60/1.14  
% 3.60/1.14  ------ no equalities: superposition off 
% 3.60/1.14  
% 3.60/1.14  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.60/1.14  
% 3.60/1.14  
% 3.60/1.14  ------ 
% 3.60/1.14  Current options:
% 3.60/1.14  ------ 
% 3.60/1.14  
% 3.60/1.14  
% 3.60/1.14  
% 3.60/1.14  
% 3.60/1.14  ------ Proving...
% 3.60/1.14  
% 3.60/1.14  
% 3.60/1.14  % SZS status Theorem for theBenchmark.p
% 3.60/1.14  
% 3.60/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.60/1.14  
% 3.60/1.14  
%------------------------------------------------------------------------------