TSTP Solution File: SYN470+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN470+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:31:00 EDT 2024

% Result   : Theorem 3.71s 1.19s
% Output   : CNFRefutation 3.71s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f203)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp2
        | hskp8
        | hskp4 )
      & ( hskp26
        | hskp17
        | hskp11 )
      & ( hskp26
        | hskp10
        | hskp27 )
      & ( hskp14
        | hskp6
        | hskp13 )
      & ( hskp20
        | hskp21
        | hskp28 )
      & ( hskp10
        | hskp13
        | hskp28 )
      & ( hskp12
        | hskp13
        | hskp15 )
      & ( hskp17
        | hskp22
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | ~ c1_1(X104) ) ) )
      & ( hskp19
        | hskp27
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | ~ c1_1(X103) ) ) )
      & ( hskp3
        | hskp13
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) ) )
      & ( hskp8
        | hskp12
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c1_1(X101)
              | ~ c0_1(X101) ) ) )
      & ( hskp0
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c1_1(X99)
              | c3_1(X99) ) ) )
      & ( hskp25
        | hskp16
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c3_1(X98) ) ) )
      & ( hskp2
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c2_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c3_1(X96) ) ) )
      & ( hskp26
        | hskp25
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c1_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp17
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c3_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c1_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp10
        | hskp15
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp24
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c3_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c2_1(X90) ) ) )
      & ( hskp4
        | hskp5
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | ~ c0_1(X89)
              | c2_1(X89) ) ) )
      & ( hskp31
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | ~ c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | ~ c0_1(X87)
              | c2_1(X87) ) ) )
      & ( hskp2
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp20
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c1_1(X84)
              | c2_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp29
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c1_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp20
        | hskp12
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | c3_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp7
        | hskp5
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp4
        | hskp31
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp23
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | c3_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c3_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp22
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp3
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c1_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp21
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c1_1(X71)
              | c3_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp9
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp20
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c0_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp9
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp19
        | hskp18
        | ! [X63] :
            ( ndr1_0
           => ( c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp17
        | hskp4
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp16
        | hskp28
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp15
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c0_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp14
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c0_1(X56)
              | c3_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c0_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp10
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp1
        | hskp31
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp30
        | hskp31
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp30
        | hskp13
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp28
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | ~ c1_1(X48)
              | ~ c0_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp7
        | hskp1
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp8
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c0_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | ~ c0_1(X43)
              | c3_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp8
        | hskp12
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp4
        | hskp30
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp9
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | c2_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c1_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c1_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp11
        | hskp10
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp6
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | ~ c0_1(X32)
              | c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | ~ c0_1(X30)
              | c3_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c0_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c2_1(X27)
              | ~ c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c1_1(X26)
              | c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp9
        | hskp6
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp8
        | hskp29
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp28
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c0_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp7
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | ~ c0_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c1_1(X18)
              | c2_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp6
        | hskp28
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp5
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c1_1(X14)
              | ~ c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp4
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | ~ c0_1(X12)
              | c3_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp3
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c2_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp2
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | ~ c1_1(X8)
              | ~ c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( ~ c0_1(X6)
              | c3_1(X6)
              | c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c1_1(X4)
              | c3_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a522)
          & c1_1(a522)
          & c0_1(a522)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a512)
          & c2_1(a512)
          & c1_1(a512)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a504)
          & c1_1(a504)
          & c0_1(a504)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a500)
          & c2_1(a500)
          & c0_1(a500)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c1_1(a568)
          & c3_1(a568)
          & c0_1(a568)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a559)
          & ~ c2_1(a559)
          & ~ c0_1(a559)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a558)
          & ~ c0_1(a558)
          & c2_1(a558)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a554)
          & ~ c2_1(a554)
          & c0_1(a554)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a541)
          & c1_1(a541)
          & c0_1(a541)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a540)
          & c3_1(a540)
          & c1_1(a540)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a538)
          & ~ c1_1(a538)
          & c0_1(a538)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a536)
          & ~ c1_1(a536)
          & ~ c0_1(a536)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a534)
          & ~ c2_1(a534)
          & c1_1(a534)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a533)
          & c2_1(a533)
          & c1_1(a533)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a532)
          & ~ c1_1(a532)
          & c3_1(a532)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a530)
          & c3_1(a530)
          & c2_1(a530)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a528)
          & c1_1(a528)
          & c0_1(a528)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a527)
          & ~ c1_1(a527)
          & c2_1(a527)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a520)
          & c2_1(a520)
          & c0_1(a520)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a514)
          & c3_1(a514)
          & c1_1(a514)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a510)
          & ~ c1_1(a510)
          & c0_1(a510)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a509)
          & c3_1(a509)
          & c0_1(a509)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a507)
          & ~ c0_1(a507)
          & c3_1(a507)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a505)
          & c3_1(a505)
          & c2_1(a505)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a502)
          & ~ c1_1(a502)
          & ~ c0_1(a502)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a501)
          & c2_1(a501)
          & c1_1(a501)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c1_1(a499)
          & c2_1(a499)
          & c0_1(a499)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a498)
          & ~ c0_1(a498)
          & c1_1(a498)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a497)
          & ~ c0_1(a497)
          & c2_1(a497)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a496)
          & ~ c2_1(a496)
          & ~ c1_1(a496)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a495)
          & ~ c0_1(a495)
          & c1_1(a495)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a494)
          & ~ c0_1(a494)
          & c3_1(a494)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp2
          | hskp8
          | hskp4 )
        & ( hskp26
          | hskp17
          | hskp11 )
        & ( hskp26
          | hskp10
          | hskp27 )
        & ( hskp14
          | hskp6
          | hskp13 )
        & ( hskp20
          | hskp21
          | hskp28 )
        & ( hskp10
          | hskp13
          | hskp28 )
        & ( hskp12
          | hskp13
          | hskp15 )
        & ( hskp17
          | hskp22
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | ~ c1_1(X104) ) ) )
        & ( hskp19
          | hskp27
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c1_1(X103) ) ) )
        & ( hskp3
          | hskp13
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) ) )
        & ( hskp8
          | hskp12
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) ) )
        & ( hskp0
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c1_1(X99)
                | c3_1(X99) ) ) )
        & ( hskp25
          | hskp16
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c3_1(X98) ) ) )
        & ( hskp2
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c3_1(X96) ) ) )
        & ( hskp26
          | hskp25
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp17
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c3_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c1_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp10
          | hskp15
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp24
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c3_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) ) )
        & ( hskp4
          | hskp5
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp31
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | ~ c0_1(X87)
                | c2_1(X87) ) ) )
        & ( hskp2
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp20
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | c2_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp29
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp20
          | hskp12
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp7
          | hskp5
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp4
          | hskp31
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp23
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp22
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp3
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp21
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | c3_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp9
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp20
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp9
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp19
          | hskp18
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp17
          | hskp4
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | hskp28
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp15
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c0_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp14
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | c3_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp10
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp1
          | hskp31
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp30
          | hskp31
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp30
          | hskp13
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp28
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp7
          | hskp1
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp8
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c0_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | ~ c0_1(X43)
                | c3_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp8
          | hskp12
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp4
          | hskp30
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp9
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp11
          | hskp10
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp6
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | ~ c0_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | ~ c0_1(X30)
                | c3_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c0_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c1_1(X26)
                | c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp9
          | hskp6
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp8
          | hskp29
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp28
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp7
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c1_1(X18)
                | c2_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp6
          | hskp28
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp5
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp4
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp3
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c2_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c3_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a522)
            & c1_1(a522)
            & c0_1(a522)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a512)
            & c2_1(a512)
            & c1_1(a512)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a504)
            & c1_1(a504)
            & c0_1(a504)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a500)
            & c2_1(a500)
            & c0_1(a500)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c1_1(a568)
            & c3_1(a568)
            & c0_1(a568)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a559)
            & ~ c2_1(a559)
            & ~ c0_1(a559)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a558)
            & ~ c0_1(a558)
            & c2_1(a558)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a554)
            & ~ c2_1(a554)
            & c0_1(a554)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a541)
            & c1_1(a541)
            & c0_1(a541)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a540)
            & c3_1(a540)
            & c1_1(a540)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a538)
            & ~ c1_1(a538)
            & c0_1(a538)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a536)
            & ~ c1_1(a536)
            & ~ c0_1(a536)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a534)
            & ~ c2_1(a534)
            & c1_1(a534)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a533)
            & c2_1(a533)
            & c1_1(a533)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a532)
            & ~ c1_1(a532)
            & c3_1(a532)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a530)
            & c3_1(a530)
            & c2_1(a530)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a528)
            & c1_1(a528)
            & c0_1(a528)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a527)
            & ~ c1_1(a527)
            & c2_1(a527)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a520)
            & c2_1(a520)
            & c0_1(a520)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a514)
            & c3_1(a514)
            & c1_1(a514)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a510)
            & ~ c1_1(a510)
            & c0_1(a510)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a509)
            & c3_1(a509)
            & c0_1(a509)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a507)
            & ~ c0_1(a507)
            & c3_1(a507)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a505)
            & c3_1(a505)
            & c2_1(a505)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a502)
            & ~ c1_1(a502)
            & ~ c0_1(a502)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a501)
            & c2_1(a501)
            & c1_1(a501)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a499)
            & c2_1(a499)
            & c0_1(a499)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a498)
            & ~ c0_1(a498)
            & c1_1(a498)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a497)
            & ~ c0_1(a497)
            & c2_1(a497)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a496)
            & ~ c2_1(a496)
            & ~ c1_1(a496)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a495)
            & ~ c0_1(a495)
            & c1_1(a495)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a494)
            & ~ c0_1(a494)
            & c3_1(a494)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp2
          | hskp8
          | hskp4 )
        & ( hskp26
          | hskp17
          | hskp11 )
        & ( hskp26
          | hskp10
          | hskp27 )
        & ( hskp14
          | hskp6
          | hskp13 )
        & ( hskp20
          | hskp21
          | hskp28 )
        & ( hskp10
          | hskp13
          | hskp28 )
        & ( hskp12
          | hskp13
          | hskp15 )
        & ( hskp17
          | hskp22
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp19
          | hskp27
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp3
          | hskp13
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) ) )
        & ( hskp8
          | hskp12
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp25
          | hskp16
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp2
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp26
          | hskp25
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp17
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp10
          | hskp15
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp24
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c0_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp4
          | hskp5
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp31
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c0_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp2
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c0_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp20
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp29
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp20
          | hskp12
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp7
          | hskp5
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp4
          | hskp31
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp23
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c0_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp22
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp3
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c1_1(X31)
                | ~ c0_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp21
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c1_1(X33)
                | c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp9
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp20
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c0_1(X37)
                | c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp9
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp19
          | hskp18
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp17
          | hskp4
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp16
          | hskp28
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp15
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | ~ c0_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp14
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | ~ c0_1(X48)
                | c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp10
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp1
          | hskp31
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp30
          | hskp31
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp30
          | hskp13
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp28
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp7
          | hskp1
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp8
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c0_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp8
          | hskp12
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp4
          | hskp30
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp9
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp11
          | hskp10
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp6
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c0_1(X72)
                | c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | ~ c1_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c1_1(X78)
                | c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp9
          | hskp6
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c1_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp8
          | hskp29
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp28
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp7
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c1_1(X86)
                | c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp6
          | hskp28
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp5
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp4
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | c3_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( hskp3
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp2
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp1
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | c2_1(X101)
                | c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) ) )
        & ( hskp0
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c3_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( ( c2_1(a522)
            & c1_1(a522)
            & c0_1(a522)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a512)
            & c2_1(a512)
            & c1_1(a512)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a504)
            & c1_1(a504)
            & c0_1(a504)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a500)
            & c2_1(a500)
            & c0_1(a500)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c1_1(a568)
            & c3_1(a568)
            & c0_1(a568)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a559)
            & ~ c2_1(a559)
            & ~ c0_1(a559)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a558)
            & ~ c0_1(a558)
            & c2_1(a558)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a554)
            & ~ c2_1(a554)
            & c0_1(a554)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a541)
            & c1_1(a541)
            & c0_1(a541)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a540)
            & c3_1(a540)
            & c1_1(a540)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a538)
            & ~ c1_1(a538)
            & c0_1(a538)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a536)
            & ~ c1_1(a536)
            & ~ c0_1(a536)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a534)
            & ~ c2_1(a534)
            & c1_1(a534)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a533)
            & c2_1(a533)
            & c1_1(a533)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a532)
            & ~ c1_1(a532)
            & c3_1(a532)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a530)
            & c3_1(a530)
            & c2_1(a530)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a528)
            & c1_1(a528)
            & c0_1(a528)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a527)
            & ~ c1_1(a527)
            & c2_1(a527)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a520)
            & c2_1(a520)
            & c0_1(a520)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a514)
            & c3_1(a514)
            & c1_1(a514)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a510)
            & ~ c1_1(a510)
            & c0_1(a510)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a509)
            & c3_1(a509)
            & c0_1(a509)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a507)
            & ~ c0_1(a507)
            & c3_1(a507)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a505)
            & c3_1(a505)
            & c2_1(a505)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a502)
            & ~ c1_1(a502)
            & ~ c0_1(a502)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a501)
            & c2_1(a501)
            & c1_1(a501)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a499)
            & c2_1(a499)
            & c0_1(a499)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a498)
            & ~ c0_1(a498)
            & c1_1(a498)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a497)
            & ~ c0_1(a497)
            & c2_1(a497)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a496)
            & ~ c2_1(a496)
            & ~ c1_1(a496)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a495)
            & ~ c0_1(a495)
            & c1_1(a495)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a494)
            & ~ c0_1(a494)
            & c3_1(a494)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp2
      | hskp8
      | hskp4 )
    & ( hskp26
      | hskp17
      | hskp11 )
    & ( hskp26
      | hskp10
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp13 )
    & ( hskp20
      | hskp21
      | hskp28 )
    & ( hskp10
      | hskp13
      | hskp28 )
    & ( hskp12
      | hskp13
      | hskp15 )
    & ( hskp17
      | hskp22
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp19
      | hskp27
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp3
      | hskp13
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c1_1(X2) ) ) )
    & ( hskp8
      | hskp12
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c0_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp25
      | hskp16
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp2
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c2_1(X7)
            | ~ c0_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp26
      | hskp25
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp17
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp10
      | hskp15
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp24
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c0_1(X13)
            | c3_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp4
      | hskp5
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp31
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | ~ c1_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | ~ c0_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp2
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c0_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp20
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c1_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp29
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp20
      | hskp12
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c3_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp7
      | hskp5
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | c3_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp4
      | hskp31
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp23
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | ~ c0_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp22
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp3
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c1_1(X31)
            | ~ c0_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c2_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp21
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c1_1(X33)
            | c3_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp9
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | ~ c0_1(X35)
            | c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp20
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c0_1(X37)
            | c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp9
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp19
      | hskp18
      | ! [X41] :
          ( ndr1_0
         => ( c3_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp17
      | hskp4
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c2_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp16
      | hskp28
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp15
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | ~ c0_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp14
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | ~ c0_1(X48)
            | c3_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c0_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp10
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp1
      | hskp31
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c1_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp30
      | hskp31
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp30
      | hskp13
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp28
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | ~ c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp7
      | hskp1
      | ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | c3_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp8
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c0_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c3_1(X60)
            | c0_1(X60) ) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | ~ c0_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp8
      | hskp12
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c2_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp4
      | hskp30
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp9
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c1_1(X68)
            | c2_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | c0_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp11
      | hskp10
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp6
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | ~ c0_1(X72)
            | c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | ~ c0_1(X74)
            | c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | ~ c0_1(X75)
            | c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | ~ c1_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | ~ c1_1(X78)
            | c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp9
      | hskp6
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c1_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp8
      | hskp29
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c1_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp28
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c1_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp7
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c0_1(X84)
            | c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c1_1(X86)
            | c2_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp6
      | hskp28
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp5
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c1_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp4
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | ~ c0_1(X92)
            | c3_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( hskp3
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c2_1(X94)
            | c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp2
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c1_1(X96)
            | ~ c0_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp1
      | ! [X98] :
          ( ndr1_0
         => ( ~ c0_1(X98)
            | c3_1(X98)
            | c1_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | ~ c1_1(X100)
            | c3_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | c2_1(X101)
            | c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) ) )
    & ( hskp0
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c3_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( ( c2_1(a522)
        & c1_1(a522)
        & c0_1(a522)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a512)
        & c2_1(a512)
        & c1_1(a512)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a504)
        & c1_1(a504)
        & c0_1(a504)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a500)
        & c2_1(a500)
        & c0_1(a500)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a568)
        & c3_1(a568)
        & c0_1(a568)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & ~ c2_1(a559)
        & ~ c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a558)
        & ~ c0_1(a558)
        & c2_1(a558)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a554)
        & ~ c2_1(a554)
        & c0_1(a554)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a541)
        & c1_1(a541)
        & c0_1(a541)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a540)
        & c3_1(a540)
        & c1_1(a540)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a538)
        & ~ c1_1(a538)
        & c0_1(a538)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a536)
        & ~ c1_1(a536)
        & ~ c0_1(a536)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a534)
        & ~ c2_1(a534)
        & c1_1(a534)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a533)
        & c2_1(a533)
        & c1_1(a533)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a532)
        & ~ c1_1(a532)
        & c3_1(a532)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a530)
        & c3_1(a530)
        & c2_1(a530)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a528)
        & c1_1(a528)
        & c0_1(a528)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a527)
        & ~ c1_1(a527)
        & c2_1(a527)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a520)
        & c2_1(a520)
        & c0_1(a520)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a514)
        & c3_1(a514)
        & c1_1(a514)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a510)
        & ~ c1_1(a510)
        & c0_1(a510)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a509)
        & c3_1(a509)
        & c0_1(a509)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c3_1(a507)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a505)
        & c3_1(a505)
        & c2_1(a505)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a502)
        & ~ c1_1(a502)
        & ~ c0_1(a502)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a501)
        & c2_1(a501)
        & c1_1(a501)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a499)
        & c2_1(a499)
        & c0_1(a499)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a498)
        & ~ c0_1(a498)
        & c1_1(a498)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a497)
        & ~ c0_1(a497)
        & c2_1(a497)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a496)
        & ~ c2_1(a496)
        & ~ c1_1(a496)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a495)
        & ~ c0_1(a495)
        & c1_1(a495)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a494)
        & ~ c0_1(a494)
        & c3_1(a494)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp2
      | hskp8
      | hskp4 )
    & ( hskp26
      | hskp17
      | hskp11 )
    & ( hskp26
      | hskp10
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp13 )
    & ( hskp20
      | hskp21
      | hskp28 )
    & ( hskp10
      | hskp13
      | hskp28 )
    & ( hskp12
      | hskp13
      | hskp15 )
    & ( hskp17
      | hskp22
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp13
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp12
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp16
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp25
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp15
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c1_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp12
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp5
      | ! [X25] :
          ( ~ c0_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp31
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp4
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp28
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X44] :
          ( ~ c1_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c1_1(X48)
          | ~ c0_1(X48)
          | c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X51] :
          ( ~ c0_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp31
      | ! [X53] :
          ( ~ c2_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp31
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp13
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp1
      | ! [X58] :
          ( ~ c1_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c0_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp12
      | ! [X64] :
          ( ~ c1_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp30
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c3_1(X68)
          | ~ c1_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X71] :
          ( c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c2_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp6
      | ! [X80] :
          ( ~ c3_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X81] :
          ( ~ c3_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp28
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c0_1(X92)
          | c3_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X98] :
          ( ~ c0_1(X98)
          | c3_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | c2_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X103] :
          ( ~ c2_1(X103)
          | c3_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a522)
        & c1_1(a522)
        & c0_1(a522)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a512)
        & c2_1(a512)
        & c1_1(a512)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a504)
        & c1_1(a504)
        & c0_1(a504)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a500)
        & c2_1(a500)
        & c0_1(a500)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a568)
        & c3_1(a568)
        & c0_1(a568)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & ~ c2_1(a559)
        & ~ c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a558)
        & ~ c0_1(a558)
        & c2_1(a558)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a554)
        & ~ c2_1(a554)
        & c0_1(a554)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a541)
        & c1_1(a541)
        & c0_1(a541)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a540)
        & c3_1(a540)
        & c1_1(a540)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a538)
        & ~ c1_1(a538)
        & c0_1(a538)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a536)
        & ~ c1_1(a536)
        & ~ c0_1(a536)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a534)
        & ~ c2_1(a534)
        & c1_1(a534)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a533)
        & c2_1(a533)
        & c1_1(a533)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a532)
        & ~ c1_1(a532)
        & c3_1(a532)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a530)
        & c3_1(a530)
        & c2_1(a530)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a528)
        & c1_1(a528)
        & c0_1(a528)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a527)
        & ~ c1_1(a527)
        & c2_1(a527)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a520)
        & c2_1(a520)
        & c0_1(a520)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a514)
        & c3_1(a514)
        & c1_1(a514)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a510)
        & ~ c1_1(a510)
        & c0_1(a510)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a509)
        & c3_1(a509)
        & c0_1(a509)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c3_1(a507)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a505)
        & c3_1(a505)
        & c2_1(a505)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a502)
        & ~ c1_1(a502)
        & ~ c0_1(a502)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a501)
        & c2_1(a501)
        & c1_1(a501)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a499)
        & c2_1(a499)
        & c0_1(a499)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a498)
        & ~ c0_1(a498)
        & c1_1(a498)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a497)
        & ~ c0_1(a497)
        & c2_1(a497)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a496)
        & ~ c2_1(a496)
        & ~ c1_1(a496)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a495)
        & ~ c0_1(a495)
        & c1_1(a495)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a494)
        & ~ c0_1(a494)
        & c3_1(a494)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp2
      | hskp8
      | hskp4 )
    & ( hskp26
      | hskp17
      | hskp11 )
    & ( hskp26
      | hskp10
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp13 )
    & ( hskp20
      | hskp21
      | hskp28 )
    & ( hskp10
      | hskp13
      | hskp28 )
    & ( hskp12
      | hskp13
      | hskp15 )
    & ( hskp17
      | hskp22
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp13
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp12
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp16
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp25
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp15
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X13] :
          ( ~ c2_1(X13)
          | ~ c0_1(X13)
          | c3_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c1_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp12
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp5
      | ! [X25] :
          ( ~ c0_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp31
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | c3_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X35] :
          ( ~ c1_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X37] :
          ( ~ c2_1(X37)
          | ~ c0_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X39] :
          ( ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c0_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X41] :
          ( c3_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp4
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp28
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X44] :
          ( ~ c1_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c1_1(X48)
          | ~ c0_1(X48)
          | c3_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X51] :
          ( ~ c0_1(X51)
          | c2_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp31
      | ! [X53] :
          ( ~ c2_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp31
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp13
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp1
      | ! [X58] :
          ( ~ c1_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X59] :
          ( ~ c3_1(X59)
          | ~ c0_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c1_1(X60)
          | c3_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( ! [X61] :
          ( ~ c1_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp12
      | ! [X64] :
          ( ~ c1_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp30
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c3_1(X68)
          | ~ c1_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X71] :
          ( c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c2_1(X78)
          | ~ c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp6
      | ! [X80] :
          ( ~ c3_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X81] :
          ( ~ c3_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c1_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp28
      | ! [X89] :
          ( ~ c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X92] :
          ( ~ c2_1(X92)
          | ~ c0_1(X92)
          | c3_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c2_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X98] :
          ( ~ c0_1(X98)
          | c3_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | c3_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( c3_1(X101)
          | c2_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X103] :
          ( ~ c2_1(X103)
          | c3_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a522)
        & c1_1(a522)
        & c0_1(a522)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a512)
        & c2_1(a512)
        & c1_1(a512)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a504)
        & c1_1(a504)
        & c0_1(a504)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a500)
        & c2_1(a500)
        & c0_1(a500)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a568)
        & c3_1(a568)
        & c0_1(a568)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & ~ c2_1(a559)
        & ~ c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a558)
        & ~ c0_1(a558)
        & c2_1(a558)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a554)
        & ~ c2_1(a554)
        & c0_1(a554)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a541)
        & c1_1(a541)
        & c0_1(a541)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a540)
        & c3_1(a540)
        & c1_1(a540)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a538)
        & ~ c1_1(a538)
        & c0_1(a538)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a536)
        & ~ c1_1(a536)
        & ~ c0_1(a536)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a534)
        & ~ c2_1(a534)
        & c1_1(a534)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a533)
        & c2_1(a533)
        & c1_1(a533)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a532)
        & ~ c1_1(a532)
        & c3_1(a532)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a530)
        & c3_1(a530)
        & c2_1(a530)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a528)
        & c1_1(a528)
        & c0_1(a528)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a527)
        & ~ c1_1(a527)
        & c2_1(a527)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a520)
        & c2_1(a520)
        & c0_1(a520)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a514)
        & c3_1(a514)
        & c1_1(a514)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a510)
        & ~ c1_1(a510)
        & c0_1(a510)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a509)
        & c3_1(a509)
        & c0_1(a509)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c3_1(a507)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a505)
        & c3_1(a505)
        & c2_1(a505)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a502)
        & ~ c1_1(a502)
        & ~ c0_1(a502)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a501)
        & c2_1(a501)
        & c1_1(a501)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a499)
        & c2_1(a499)
        & c0_1(a499)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a498)
        & ~ c0_1(a498)
        & c1_1(a498)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a497)
        & ~ c0_1(a497)
        & c2_1(a497)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a496)
        & ~ c2_1(a496)
        & ~ c1_1(a496)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a495)
        & ~ c0_1(a495)
        & c1_1(a495)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a494)
        & ~ c0_1(a494)
        & c3_1(a494)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c3_1(a494)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( ~ c0_1(a494)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c2_1(a494)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c1_1(a495)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( ~ c0_1(a495)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c3_1(a495)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f16,plain,
    ( ~ c1_1(a496)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c2_1(a496)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c3_1(a496)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c2_1(a497)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( ~ c0_1(a497)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c1_1(a497)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f23,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c1_1(a498)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( ~ c0_1(a498)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c2_1(a498)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c0_1(a499)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( c2_1(a499)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c1_1(a499)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c1_1(a501)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( c2_1(a501)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c3_1(a501)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( ~ c0_1(a502)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( ~ c1_1(a502)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c3_1(a502)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f39,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c2_1(a505)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( c3_1(a505)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c0_1(a505)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c3_1(a507)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( ~ c0_1(a507)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c1_1(a507)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c0_1(a509)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c2_1(a509)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c0_1(a510)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( ~ c1_1(a510)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c2_1(a510)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c1_1(a514)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( c3_1(a514)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c2_1(a514)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c0_1(a520)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( c2_1(a520)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c3_1(a520)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c2_1(a527)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( ~ c1_1(a527)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c3_1(a527)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c0_1(a528)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( c1_1(a528)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c3_1(a528)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( c2_1(a530)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( c3_1(a530)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f74,plain,
    ( ~ c1_1(a530)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c3_1(a532)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( ~ c1_1(a532)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c2_1(a532)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( ~ c0_1(a536)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( ~ c1_1(a536)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c2_1(a536)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( c1_1(a540)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( c3_1(a540)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c0_1(a540)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c0_1(a554)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( ~ c2_1(a554)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c3_1(a554)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f112,plain,
    ( ~ c0_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( ~ c2_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c0_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c2_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c3_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f124,plain,
    ( c0_1(a504)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f125,plain,
    ( c1_1(a504)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f126,plain,
    ( c3_1(a504)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f128,plain,
    ( c1_1(a512)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f129,plain,
    ( c2_1(a512)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f130,plain,
    ( c3_1(a512)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f132,plain,
    ( c0_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f133,plain,
    ( c1_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f134,plain,
    ( c2_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f142,plain,
    ! [X89] :
      ( hskp6
      | hskp28
      | ~ c2_1(X89)
      | c1_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f146,plain,
    ! [X81] :
      ( hskp8
      | hskp29
      | ~ c3_1(X81)
      | c1_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f151,plain,
    ! [X71] :
      ( hskp11
      | hskp10
      | c3_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f160,plain,
    ! [X55] :
      ( hskp30
      | hskp13
      | ~ c2_1(X55)
      | c3_1(X55)
      | c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f161,plain,
    ! [X54] :
      ( hskp30
      | hskp31
      | ~ c2_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f167,plain,
    ! [X43] :
      ( hskp16
      | hskp28
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c0_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f168,plain,
    ! [X42] :
      ( hskp17
      | hskp4
      | ~ c3_1(X42)
      | ~ c2_1(X42)
      | c0_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f177,plain,
    ! [X26] :
      ( hskp4
      | hskp31
      | ~ c0_1(X26)
      | c3_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f178,plain,
    ! [X25] :
      ( hskp7
      | hskp5
      | ~ c0_1(X25)
      | c3_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f179,plain,
    ! [X24] :
      ( hskp20
      | hskp12
      | ~ c2_1(X24)
      | c3_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f184,plain,
    ! [X15] :
      ( hskp4
      | hskp5
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f192,plain,
    ! [X3] :
      ( hskp8
      | hskp12
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f193,plain,
    ! [X2] :
      ( hskp3
      | hskp13
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f196,plain,
    ( hskp12
    | hskp13
    | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f201,plain,
    ( hskp26
    | hskp17
    | hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f202,plain,
    ( hskp2
    | hskp8
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp2
    | hskp8
    | hskp4 ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_50,negated_conjecture,
    ( hskp26
    | hskp17
    | hskp11 ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_55,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp15 ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_58,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | hskp13
    | hskp3 ),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_59,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp8
    | hskp12 ),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_60,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_62,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f204]) ).

cnf(c_64,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | hskp17 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_66,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | hskp24 ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_67,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp4
    | hskp5 ),
    inference(cnf_transformation,[],[f184]) ).

cnf(c_70,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_71,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | hskp29 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_72,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp20
    | hskp12 ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_73,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp5
    | hskp7 ),
    inference(cnf_transformation,[],[f178]) ).

cnf(c_74,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp4
    | hskp31 ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_75,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp23 ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_76,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_77,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | hskp3 ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_79,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp9 ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_80,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_83,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp4
    | hskp17 ),
    inference(cnf_transformation,[],[f168]) ).

cnf(c_84,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp28
    | hskp16 ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_85,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X0)
    | hskp15 ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_86,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp14 ),
    inference(cnf_transformation,[],[f219]) ).

cnf(c_87,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_90,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp31
    | hskp30 ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_91,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp30 ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_92,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_94,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_95,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_98,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_99,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_100,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp11
    | hskp10 ),
    inference(cnf_transformation,[],[f151]) ).

cnf(c_101,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_102,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_105,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp8
    | hskp29 ),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_107,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp7 ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_108,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f232]) ).

cnf(c_109,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp6
    | hskp28 ),
    inference(cnf_transformation,[],[f142]) ).

cnf(c_110,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_111,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp4 ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_114,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_115,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_116,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f239]) ).

cnf(c_117,negated_conjecture,
    ( ~ hskp31
    | c2_1(a522) ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_118,negated_conjecture,
    ( ~ hskp31
    | c1_1(a522) ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp31
    | c0_1(a522) ),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp30
    | c3_1(a512) ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp30
    | c2_1(a512) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp30
    | c1_1(a512) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp29
    | c3_1(a504) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp29
    | c1_1(a504) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp29
    | c0_1(a504) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp28
    | c3_1(a500) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp28
    | c2_1(a500) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp28
    | c0_1(a500) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_137,negated_conjecture,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_138,negated_conjecture,
    ( ~ c2_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_139,negated_conjecture,
    ( ~ c0_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_145,negated_conjecture,
    ( ~ c3_1(a554)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_146,negated_conjecture,
    ( ~ c2_1(a554)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_147,negated_conjecture,
    ( ~ hskp24
    | c0_1(a554) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_153,negated_conjecture,
    ( ~ c0_1(a540)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_154,negated_conjecture,
    ( ~ hskp22
    | c3_1(a540) ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp22
    | c1_1(a540) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_161,negated_conjecture,
    ( ~ c2_1(a536)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_162,negated_conjecture,
    ( ~ c1_1(a536)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_163,negated_conjecture,
    ( ~ c0_1(a536)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_173,negated_conjecture,
    ( ~ c2_1(a532)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_174,negated_conjecture,
    ( ~ c1_1(a532)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp17
    | c3_1(a532) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_177,negated_conjecture,
    ( ~ c1_1(a530)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_178,negated_conjecture,
    ( ~ hskp16
    | c3_1(a530) ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp16
    | c2_1(a530) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_181,negated_conjecture,
    ( ~ c3_1(a528)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_182,negated_conjecture,
    ( ~ hskp15
    | c1_1(a528) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp15
    | c0_1(a528) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_185,negated_conjecture,
    ( ~ c3_1(a527)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_186,negated_conjecture,
    ( ~ c1_1(a527)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp14
    | c2_1(a527) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_189,negated_conjecture,
    ( ~ c3_1(a520)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_190,negated_conjecture,
    ( ~ hskp13
    | c2_1(a520) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp13
    | c0_1(a520) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_193,negated_conjecture,
    ( ~ c2_1(a514)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_194,negated_conjecture,
    ( ~ hskp12
    | c3_1(a514) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp12
    | c1_1(a514) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_197,negated_conjecture,
    ( ~ c2_1(a510)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_198,negated_conjecture,
    ( ~ c1_1(a510)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp11
    | c0_1(a510) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_201,negated_conjecture,
    ( ~ c2_1(a509)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp10
    | c0_1(a509) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_205,negated_conjecture,
    ( ~ c1_1(a507)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_206,negated_conjecture,
    ( ~ c0_1(a507)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp9
    | c3_1(a507) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_209,negated_conjecture,
    ( ~ c0_1(a505)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_210,negated_conjecture,
    ( ~ hskp8
    | c3_1(a505) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_211,negated_conjecture,
    ( ~ hskp8
    | c2_1(a505) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_212,negated_conjecture,
    ( ~ hskp8
    | ndr1_0 ),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_213,negated_conjecture,
    ( ~ c3_1(a502)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_214,negated_conjecture,
    ( ~ c1_1(a502)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_215,negated_conjecture,
    ( ~ c0_1(a502)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_217,negated_conjecture,
    ( ~ c3_1(a501)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_218,negated_conjecture,
    ( ~ hskp6
    | c2_1(a501) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_219,negated_conjecture,
    ( ~ hskp6
    | c1_1(a501) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_221,negated_conjecture,
    ( ~ c1_1(a499)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_222,negated_conjecture,
    ( ~ hskp5
    | c2_1(a499) ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp5
    | c0_1(a499) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_225,negated_conjecture,
    ( ~ c2_1(a498)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_226,negated_conjecture,
    ( ~ c0_1(a498)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp4
    | c1_1(a498) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_228,negated_conjecture,
    ( ~ hskp4
    | ndr1_0 ),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_229,negated_conjecture,
    ( ~ c1_1(a497)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_230,negated_conjecture,
    ( ~ c0_1(a497)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_231,negated_conjecture,
    ( ~ hskp3
    | c2_1(a497) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_233,negated_conjecture,
    ( ~ c3_1(a496)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_234,negated_conjecture,
    ( ~ c2_1(a496)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_235,negated_conjecture,
    ( ~ c1_1(a496)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f16]) ).

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

cnf(c_237,negated_conjecture,
    ( ~ c3_1(a495)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_238,negated_conjecture,
    ( ~ c0_1(a495)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_239,negated_conjecture,
    ( ~ hskp1
    | c1_1(a495) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_241,negated_conjecture,
    ( ~ c2_1(a494)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_242,negated_conjecture,
    ( ~ c0_1(a494)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp0
    | c3_1(a494) ),
    inference(cnf_transformation,[],[f8]) ).

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

cnf(c_274,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_244,c_236,c_228,c_212,c_49]) ).

cnf(c_338,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | hskp11
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_236,c_228,c_212,c_49,c_100]) ).

cnf(c_344,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp6
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_236,c_228,c_212,c_49,c_109]) ).

cnf(c_347,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp8
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_105,c_236,c_228,c_212,c_49,c_105]) ).

cnf(c_362,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp13
    | hskp30 ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_236,c_228,c_212,c_49,c_91]) ).

cnf(c_365,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp4
    | hskp31 ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_236,c_228,c_212,c_49,c_74]) ).

cnf(c_368,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp5
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_236,c_228,c_212,c_49,c_73]) ).

cnf(c_371,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp20
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_236,c_228,c_212,c_49,c_72]) ).

cnf(c_374,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp31
    | hskp30 ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_236,c_228,c_212,c_49,c_90]) ).

cnf(c_375,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp31
    | hskp30 ),
    inference(renaming,[status(thm)],[c_374]) ).

cnf(c_380,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp28
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_236,c_228,c_212,c_49,c_84]) ).

cnf(c_381,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp28
    | hskp16 ),
    inference(renaming,[status(thm)],[c_380]) ).

cnf(c_383,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp4
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_236,c_228,c_212,c_49,c_83]) ).

cnf(c_384,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp4
    | hskp17 ),
    inference(renaming,[status(thm)],[c_383]) ).

cnf(c_386,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp4
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_236,c_228,c_212,c_49,c_67]) ).

cnf(c_387,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp4
    | hskp5 ),
    inference(renaming,[status(thm)],[c_386]) ).

cnf(c_398,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | hskp8
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_236,c_228,c_212,c_49,c_59]) ).

cnf(c_399,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp8
    | hskp12 ),
    inference(renaming,[status(thm)],[c_398]) ).

cnf(c_401,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | hskp13
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_236,c_228,c_212,c_49,c_58]) ).

cnf(c_402,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | hskp13
    | hskp3 ),
    inference(renaming,[status(thm)],[c_401]) ).

cnf(c_410,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_116,c_236,c_228,c_212,c_49,c_116]) ).

cnf(c_412,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_236,c_228,c_212,c_49,c_114]) ).

cnf(c_414,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_236,c_228,c_212,c_49,c_101]) ).

cnf(c_415,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_414]) ).

cnf(c_416,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_236,c_228,c_212,c_49,c_98]) ).

cnf(c_417,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_416]) ).

cnf(c_421,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_236,c_228,c_212,c_49,c_76]) ).

cnf(c_422,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp22 ),
    inference(renaming,[status(thm)],[c_421]) ).

cnf(c_429,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_236,c_228,c_212,c_49,c_111]) ).

cnf(c_430,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_429]) ).

cnf(c_431,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_236,c_228,c_212,c_49,c_107]) ).

cnf(c_432,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_431]) ).

cnf(c_435,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_236,c_228,c_212,c_49,c_94]) ).

cnf(c_436,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_435]) ).

cnf(c_439,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_236,c_228,c_212,c_49,c_86]) ).

cnf(c_440,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp14 ),
    inference(renaming,[status(thm)],[c_439]) ).

cnf(c_441,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_236,c_228,c_212,c_49,c_80]) ).

cnf(c_442,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_441]) ).

cnf(c_443,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_79,c_236,c_228,c_212,c_49,c_79]) ).

cnf(c_444,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_443]) ).

cnf(c_447,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_236,c_228,c_212,c_49,c_75]) ).

cnf(c_448,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | hskp23 ),
    inference(renaming,[status(thm)],[c_447]) ).

cnf(c_449,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_110,c_236,c_228,c_212,c_49,c_110]) ).

cnf(c_450,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_449]) ).

cnf(c_451,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_236,c_228,c_212,c_49,c_92]) ).

cnf(c_452,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp28 ),
    inference(renaming,[status(thm)],[c_451]) ).

cnf(c_453,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_236,c_228,c_212,c_49,c_85]) ).

cnf(c_454,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_453]) ).

cnf(c_455,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_77,c_236,c_228,c_212,c_49,c_77]) ).

cnf(c_456,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_455]) ).

cnf(c_457,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_236,c_228,c_212,c_49,c_71]) ).

cnf(c_458,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp29 ),
    inference(renaming,[status(thm)],[c_457]) ).

cnf(c_460,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_236,c_228,c_212,c_49,c_70]) ).

cnf(c_461,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_460]) ).

cnf(c_465,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | hskp24 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_236,c_228,c_212,c_49,c_66]) ).

cnf(c_466,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | hskp24 ),
    inference(renaming,[status(thm)],[c_465]) ).

cnf(c_467,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_236,c_228,c_212,c_49,c_64]) ).

cnf(c_468,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X0)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_467]) ).

cnf(c_471,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_236,c_228,c_212,c_49,c_62]) ).

cnf(c_472,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_471]) ).

cnf(c_473,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_60,c_274]) ).

cnf(c_474,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_473]) ).

cnf(c_475,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_115,c_236,c_228,c_212,c_49,c_115]) ).

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

cnf(c_477,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_108,c_236,c_228,c_212,c_49,c_108]) ).

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

cnf(c_479,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_236,c_228,c_212,c_49,c_102]) ).

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

cnf(c_481,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_236,c_228,c_212,c_49,c_95]) ).

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

cnf(c_483,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_236,c_228,c_212,c_49,c_103]) ).

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

cnf(c_485,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_236,c_228,c_212,c_49,c_99]) ).

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

cnf(c_487,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_87,c_236,c_228,c_212,c_49,c_87]) ).

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

cnf(c_2882,plain,
    ( ~ c0_1(a559)
    | hskp17
    | hskp11 ),
    inference(resolution,[status(thm)],[c_50,c_139]) ).

cnf(c_2892,plain,
    ( ~ c2_1(a559)
    | hskp17
    | hskp11 ),
    inference(resolution,[status(thm)],[c_50,c_138]) ).

cnf(c_2902,plain,
    ( ~ c3_1(a559)
    | hskp17
    | hskp11 ),
    inference(resolution,[status(thm)],[c_50,c_137]) ).

cnf(c_3548,plain,
    ( c0_1(a528)
    | hskp13
    | hskp12 ),
    inference(resolution,[status(thm)],[c_55,c_183]) ).

cnf(c_3558,plain,
    ( c1_1(a528)
    | hskp13
    | hskp12 ),
    inference(resolution,[status(thm)],[c_55,c_182]) ).

cnf(c_3568,plain,
    ( ~ c3_1(a528)
    | hskp13
    | hskp12 ),
    inference(resolution,[status(thm)],[c_55,c_181]) ).

cnf(c_6785,plain,
    ( ~ c1_1(a496)
    | hskp8
    | hskp4 ),
    inference(resolution,[status(thm)],[c_49,c_235]) ).

cnf(c_6795,plain,
    ( ~ c2_1(a496)
    | hskp8
    | hskp4 ),
    inference(resolution,[status(thm)],[c_49,c_234]) ).

cnf(c_6805,plain,
    ( ~ c3_1(a496)
    | hskp8
    | hskp4 ),
    inference(resolution,[status(thm)],[c_49,c_233]) ).

cnf(c_15980,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_488]) ).

cnf(c_15981,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_488]) ).

cnf(c_15982,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_488]) ).

cnf(c_15983,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

cnf(c_15984,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_486]) ).

cnf(c_15985,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_486]) ).

cnf(c_15986,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_486]) ).

cnf(c_15987,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

cnf(c_15988,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_484]) ).

cnf(c_15989,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_484]) ).

cnf(c_15990,negated_conjecture,
    ( sP3_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

cnf(c_15991,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_482]) ).

cnf(c_15994,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_480]) ).

cnf(c_15995,negated_conjecture,
    ( sP0_iProver_def
    | sP6_iProver_def
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

cnf(c_15996,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_478]) ).

cnf(c_15997,negated_conjecture,
    ( sP4_iProver_def
    | sP5_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

cnf(c_15998,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_476]) ).

cnf(c_15999,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_476]) ).

cnf(c_16000,negated_conjecture,
    ( sP6_iProver_def
    | sP12_iProver_def
    | sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

cnf(c_16001,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_474]) ).

cnf(c_16003,negated_conjecture,
    ( hskp2
    | sP0_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

cnf(c_16005,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_def])],[c_468]) ).

cnf(c_16006,negated_conjecture,
    ( hskp17
    | sP5_iProver_def
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

cnf(c_16007,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_466]) ).

cnf(c_16008,negated_conjecture,
    ( hskp24
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

cnf(c_16010,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_461]) ).

cnf(c_16012,negated_conjecture,
    ( hskp29
    | sP2_iProver_def
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

cnf(c_16013,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_456]) ).

cnf(c_16014,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_456]) ).

cnf(c_16016,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_454]) ).

cnf(c_16017,negated_conjecture,
    ( hskp15
    | sP10_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

cnf(c_16018,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_452]) ).

cnf(c_16020,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_450]) ).

cnf(c_16021,negated_conjecture,
    ( hskp5
    | sP19_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

cnf(c_16022,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_def])],[c_448]) ).

cnf(c_16025,negated_conjecture,
    ( hskp9
    | sP0_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

cnf(c_16026,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_442]) ).

cnf(c_16027,negated_conjecture,
    ( hskp20
    | sP18_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

cnf(c_16028,negated_conjecture,
    ( hskp14
    | sP18_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

cnf(c_16030,negated_conjecture,
    ( hskp8
    | sP2_iProver_def
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

cnf(c_16032,negated_conjecture,
    ( hskp7
    | sP11_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

cnf(c_16033,negated_conjecture,
    ( hskp4
    | sP15_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).

cnf(c_16036,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_422]) ).

cnf(c_16037,negated_conjecture,
    ( hskp22
    | sP23_iProver_def
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

cnf(c_16040,negated_conjecture,
    ( hskp9
    | sP4_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

cnf(c_16041,negated_conjecture,
    ( hskp6
    | sP6_iProver_def
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

cnf(c_16042,negated_conjecture,
    ( hskp1
    | sP12_iProver_def
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

cnf(c_16043,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_def])],[c_410]) ).

cnf(c_16044,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_def])],[c_410]) ).

cnf(c_16045,negated_conjecture,
    ( hskp0
    | sP27_iProver_def
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

cnf(c_16048,negated_conjecture,
    ( hskp13
    | hskp3
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

cnf(c_16049,negated_conjecture,
    ( hskp8
    | hskp12
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_399]) ).

cnf(c_16053,negated_conjecture,
    ( hskp4
    | hskp5
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

cnf(c_16054,negated_conjecture,
    ( hskp4
    | hskp17
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

cnf(c_16055,negated_conjecture,
    ( hskp28
    | hskp16
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).

cnf(c_16057,negated_conjecture,
    ( hskp31
    | hskp30
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_375]) ).

cnf(c_16058,negated_conjecture,
    ( hskp20
    | hskp12
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

cnf(c_16059,negated_conjecture,
    ( hskp5
    | hskp7
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_368]) ).

cnf(c_16060,negated_conjecture,
    ( hskp4
    | hskp31
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

cnf(c_16061,negated_conjecture,
    ( hskp13
    | hskp30
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

cnf(c_16066,negated_conjecture,
    ( hskp8
    | hskp29
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).

cnf(c_16067,negated_conjecture,
    ( hskp6
    | hskp28
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_344]) ).

cnf(c_16070,negated_conjecture,
    ( hskp11
    | hskp10
    | sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_338]) ).

cnf(c_16071,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_15983]) ).

cnf(c_16075,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_15987]) ).

cnf(c_16079,negated_conjecture,
    ( sP3_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_15990]) ).

cnf(c_16087,negated_conjecture,
    ( sP0_iProver_def
    | sP6_iProver_def
    | sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_15995]) ).

cnf(c_16091,negated_conjecture,
    ( sP4_iProver_def
    | sP5_iProver_def
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_15997]) ).

cnf(c_16095,negated_conjecture,
    ( sP6_iProver_def
    | sP12_iProver_def
    | sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_16000]) ).

cnf(c_16102,negated_conjecture,
    ( hskp2
    | sP0_iProver_def
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_16003]) ).

cnf(c_16103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_16001]) ).

cnf(c_16108,negated_conjecture,
    ( hskp17
    | sP5_iProver_def
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_16006]) ).

cnf(c_16111,negated_conjecture,
    ( hskp24
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_16008]) ).

cnf(c_16120,negated_conjecture,
    ( hskp29
    | sP2_iProver_def
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_16012]) ).

cnf(c_16121,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP17_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16010]) ).

cnf(c_16126,negated_conjecture,
    ( hskp15
    | sP10_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_16017]) ).

cnf(c_16132,negated_conjecture,
    ( hskp5
    | sP19_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_16021]) ).

cnf(c_16139,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP13_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15999]) ).

cnf(c_16141,negated_conjecture,
    ( hskp9
    | sP0_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_16025]) ).

cnf(c_16144,negated_conjecture,
    ( hskp20
    | sP18_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_16027]) ).

cnf(c_16147,negated_conjecture,
    ( hskp14
    | sP18_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_16028]) ).

cnf(c_16151,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP1_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15981]) ).

cnf(c_16153,negated_conjecture,
    ( hskp8
    | sP2_iProver_def
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_16030]) ).

cnf(c_16157,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15982]) ).

cnf(c_16159,negated_conjecture,
    ( hskp7
    | sP11_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_16032]) ).

cnf(c_16161,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP24_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16026]) ).

cnf(c_16162,negated_conjecture,
    ( hskp4
    | sP15_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_16033]) ).

cnf(c_16163,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP15_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16005]) ).

cnf(c_16171,negated_conjecture,
    ( hskp22
    | sP23_iProver_def
    | sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_16037]) ).

cnf(c_16172,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP25_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16036]) ).

cnf(c_16177,negated_conjecture,
    ( hskp9
    | sP4_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_16040]) ).

cnf(c_16179,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP18_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16013]) ).

cnf(c_16180,negated_conjecture,
    ( hskp6
    | sP6_iProver_def
    | sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_16041]) ).

cnf(c_16183,negated_conjecture,
    ( hskp1
    | sP12_iProver_def
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_16042]) ).

cnf(c_16185,negated_conjecture,
    ( ~ sP12_iProver_def
    | c3_1(X0)
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15998]) ).

cnf(c_16186,negated_conjecture,
    ( hskp0
    | sP27_iProver_def
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_16045]) ).

cnf(c_16188,negated_conjecture,
    ( ~ sP27_iProver_def
    | c2_1(X0)
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16043]) ).

cnf(c_16193,negated_conjecture,
    ( hskp13
    | hskp3
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_16048]) ).

cnf(c_16194,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_15989]) ).

cnf(c_16195,negated_conjecture,
    ( hskp8
    | hskp12
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_16049]) ).

cnf(c_16196,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_16014]) ).

cnf(c_16198,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP0_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15980]) ).

cnf(c_16200,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP5_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15986]) ).

cnf(c_16202,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP16_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16007]) ).

cnf(c_16203,negated_conjecture,
    ( hskp4
    | hskp5
    | sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_16053]) ).

cnf(c_16204,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP10_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15994]) ).

cnf(c_16205,negated_conjecture,
    ( hskp4
    | hskp17
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_16054]) ).

cnf(c_16207,negated_conjecture,
    ( hskp28
    | hskp16
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_16055]) ).

cnf(c_16208,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP20_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16016]) ).

cnf(c_16211,negated_conjecture,
    ( hskp31
    | hskp30
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_16057]) ).

cnf(c_16212,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP3_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15984]) ).

cnf(c_16213,negated_conjecture,
    ( hskp20
    | hskp12
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_16058]) ).

cnf(c_16214,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP28_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16044]) ).

cnf(c_16215,negated_conjecture,
    ( hskp5
    | hskp7
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_16059]) ).

cnf(c_16217,negated_conjecture,
    ( hskp4
    | hskp31
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_16060]) ).

cnf(c_16218,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP23_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16022]) ).

cnf(c_16219,negated_conjecture,
    ( hskp13
    | hskp30
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_16061]) ).

cnf(c_16220,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP21_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16018]) ).

cnf(c_16222,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP8_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15991]) ).

cnf(c_16226,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP4_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15985]) ).

cnf(c_16229,negated_conjecture,
    ( hskp8
    | hskp29
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_16066]) ).

cnf(c_16230,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP11_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15996]) ).

cnf(c_16231,negated_conjecture,
    ( hskp6
    | hskp28
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_16067]) ).

cnf(c_16232,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP22_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16020]) ).

cnf(c_16235,negated_conjecture,
    ( hskp11
    | hskp10
    | sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_16070]) ).

cnf(c_16236,negated_conjecture,
    ( ~ sP6_iProver_def
    | c3_1(X0)
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15988]) ).

cnf(c_16344,plain,
    ( ~ c1_1(a494)
    | ~ sP4_iProver_def
    | c2_1(a494)
    | c0_1(a494) ),
    inference(instantiation,[status(thm)],[c_16226]) ).

cnf(c_16347,plain,
    ( ~ c3_1(a494)
    | ~ sP11_iProver_def
    | c1_1(a494)
    | c0_1(a494) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

cnf(c_16358,plain,
    ( ~ c3_1(a494)
    | ~ c1_1(a494)
    | ~ sP5_iProver_def
    | c2_1(a494) ),
    inference(instantiation,[status(thm)],[c_16200]) ).

cnf(c_16377,plain,
    ( ~ sP12_iProver_def
    | c3_1(a502)
    | c1_1(a502)
    | c0_1(a502) ),
    inference(instantiation,[status(thm)],[c_16185]) ).

cnf(c_16385,plain,
    ( ~ c1_1(a528)
    | ~ c0_1(a528)
    | ~ sP0_iProver_def
    | c3_1(a528) ),
    inference(instantiation,[status(thm)],[c_16198]) ).

cnf(c_16386,plain,
    ( ~ c1_1(a520)
    | ~ c0_1(a520)
    | ~ sP0_iProver_def
    | c3_1(a520) ),
    inference(instantiation,[status(thm)],[c_16198]) ).

cnf(c_16391,plain,
    ( ~ c2_1(a540)
    | ~ c1_1(a540)
    | ~ sP3_iProver_def
    | c0_1(a540) ),
    inference(instantiation,[status(thm)],[c_16212]) ).

cnf(c_16396,plain,
    ( ~ c2_1(a501)
    | ~ c1_1(a501)
    | ~ sP3_iProver_def
    | c0_1(a501) ),
    inference(instantiation,[status(thm)],[c_16212]) ).

cnf(c_16400,plain,
    ( ~ c1_1(a540)
    | ~ sP4_iProver_def
    | c2_1(a540)
    | c0_1(a540) ),
    inference(instantiation,[status(thm)],[c_16226]) ).

cnf(c_16404,plain,
    ( ~ c1_1(a514)
    | ~ sP4_iProver_def
    | c2_1(a514)
    | c0_1(a514) ),
    inference(instantiation,[status(thm)],[c_16226]) ).

cnf(c_16406,plain,
    ( ~ c1_1(a498)
    | ~ sP4_iProver_def
    | c2_1(a498)
    | c0_1(a498) ),
    inference(instantiation,[status(thm)],[c_16226]) ).

cnf(c_16425,plain,
    ( ~ c3_1(a536)
    | ~ sP11_iProver_def
    | c1_1(a536)
    | c0_1(a536) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

cnf(c_16426,plain,
    ( ~ c3_1(a532)
    | ~ sP11_iProver_def
    | c1_1(a532)
    | c0_1(a532) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

cnf(c_16427,plain,
    ( ~ c3_1(a507)
    | ~ sP11_iProver_def
    | c1_1(a507)
    | c0_1(a507) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

cnf(c_16433,plain,
    ( ~ c0_1(a532)
    | ~ sP18_iProver_def
    | c2_1(a532)
    | c1_1(a532) ),
    inference(instantiation,[status(thm)],[c_16179]) ).

cnf(c_16438,plain,
    ( ~ c1_1(a504)
    | ~ c0_1(a504)
    | ~ sP10_iProver_def
    | c2_1(a504) ),
    inference(instantiation,[status(thm)],[c_16204]) ).

cnf(c_16443,plain,
    ( ~ c1_1(a509)
    | ~ c0_1(a509)
    | ~ sP10_iProver_def
    | c2_1(a509) ),
    inference(instantiation,[status(thm)],[c_16204]) ).

cnf(c_16449,plain,
    ( ~ c2_1(a505)
    | ~ c1_1(a505)
    | ~ sP3_iProver_def
    | c0_1(a505) ),
    inference(instantiation,[status(thm)],[c_16212]) ).

cnf(c_16471,plain,
    ( ~ c1_1(a495)
    | ~ sP8_iProver_def
    | c3_1(a495)
    | c0_1(a495) ),
    inference(instantiation,[status(thm)],[c_16222]) ).

cnf(c_16473,plain,
    ( ~ c2_1(a500)
    | ~ c0_1(a500)
    | ~ sP24_iProver_def
    | c1_1(a500) ),
    inference(instantiation,[status(thm)],[c_16161]) ).

cnf(c_16476,plain,
    ( ~ c2_1(a520)
    | ~ c0_1(a520)
    | ~ sP24_iProver_def
    | c1_1(a520) ),
    inference(instantiation,[status(thm)],[c_16161]) ).

cnf(c_16478,plain,
    ( ~ c2_1(a499)
    | ~ c0_1(a499)
    | ~ sP24_iProver_def
    | c1_1(a499) ),
    inference(instantiation,[status(thm)],[c_16161]) ).

cnf(c_16482,plain,
    ( ~ c3_1(a540)
    | ~ c1_1(a540)
    | ~ sP5_iProver_def
    | c2_1(a540) ),
    inference(instantiation,[status(thm)],[c_16200]) ).

cnf(c_16486,plain,
    ( ~ c3_1(a514)
    | ~ c1_1(a514)
    | ~ sP5_iProver_def
    | c2_1(a514) ),
    inference(instantiation,[status(thm)],[c_16200]) ).

cnf(c_16488,plain,
    ( ~ c3_1(a498)
    | ~ c1_1(a498)
    | ~ sP5_iProver_def
    | c2_1(a498) ),
    inference(instantiation,[status(thm)],[c_16200]) ).

cnf(c_16495,plain,
    ( ~ c3_1(a505)
    | ~ c2_1(a505)
    | ~ sP20_iProver_def
    | c0_1(a505) ),
    inference(instantiation,[status(thm)],[c_16208]) ).

cnf(c_16513,plain,
    ( ~ c3_1(a505)
    | ~ sP11_iProver_def
    | c1_1(a505)
    | c0_1(a505) ),
    inference(instantiation,[status(thm)],[c_16230]) ).

cnf(c_16520,plain,
    ( ~ c2_1(a520)
    | ~ c1_1(a520)
    | ~ sP13_iProver_def
    | c3_1(a520) ),
    inference(instantiation,[status(thm)],[c_16139]) ).

cnf(c_16531,plain,
    ( ~ c0_1(a510)
    | ~ sP25_iProver_def
    | c3_1(a510)
    | c2_1(a510) ),
    inference(instantiation,[status(thm)],[c_16172]) ).

cnf(c_16532,plain,
    ( ~ c0_1(a509)
    | ~ sP25_iProver_def
    | c3_1(a509)
    | c2_1(a509) ),
    inference(instantiation,[status(thm)],[c_16172]) ).

cnf(c_16537,plain,
    ( ~ c2_1(a520)
    | ~ c0_1(a520)
    | ~ sP15_iProver_def
    | c3_1(a520) ),
    inference(instantiation,[status(thm)],[c_16163]) ).

cnf(c_16539,plain,
    ( ~ c2_1(a499)
    | ~ c0_1(a499)
    | ~ sP15_iProver_def
    | c3_1(a499) ),
    inference(instantiation,[status(thm)],[c_16163]) ).

cnf(c_16557,plain,
    ( ~ sP27_iProver_def
    | c2_1(a536)
    | c1_1(a536)
    | c0_1(a536) ),
    inference(instantiation,[status(thm)],[c_16188]) ).

cnf(c_16570,plain,
    ( ~ c3_1(a500)
    | ~ c2_1(a500)
    | ~ c1_1(a500)
    | ~ sP7_iProver_def ),
    inference(instantiation,[status(thm)],[c_16194]) ).

cnf(c_16574,plain,
    ( ~ c3_1(a505)
    | ~ c2_1(a505)
    | ~ c1_1(a505)
    | ~ sP7_iProver_def ),
    inference(instantiation,[status(thm)],[c_16194]) ).

cnf(c_16577,plain,
    ( ~ c3_1(a504)
    | ~ c2_1(a504)
    | ~ c1_1(a504)
    | ~ sP7_iProver_def ),
    inference(instantiation,[status(thm)],[c_16194]) ).

cnf(c_16594,plain,
    ( ~ c0_1(a510)
    | ~ sP18_iProver_def
    | c2_1(a510)
    | c1_1(a510) ),
    inference(instantiation,[status(thm)],[c_16179]) ).

cnf(c_16595,plain,
    ( ~ c0_1(a509)
    | ~ sP18_iProver_def
    | c2_1(a509)
    | c1_1(a509) ),
    inference(instantiation,[status(thm)],[c_16179]) ).

cnf(c_16614,plain,
    ( ~ c3_1(a500)
    | ~ c2_1(a500)
    | ~ sP17_iProver_def
    | c1_1(a500) ),
    inference(instantiation,[status(thm)],[c_16121]) ).

cnf(c_16622,plain,
    ( ~ c3_1(a500)
    | ~ c0_1(a500)
    | ~ sP2_iProver_def
    | c1_1(a500) ),
    inference(instantiation,[status(thm)],[c_16157]) ).

cnf(c_16628,plain,
    ( ~ c3_1(a499)
    | ~ c0_1(a499)
    | ~ sP2_iProver_def
    | c1_1(a499) ),
    inference(instantiation,[status(thm)],[c_16157]) ).

cnf(c_16709,plain,
    ( ~ sP6_iProver_def
    | c3_1(a559)
    | c2_1(a559)
    | c0_1(a559) ),
    inference(instantiation,[status(thm)],[c_16236]) ).

cnf(c_16716,plain,
    ( ~ sP6_iProver_def
    | c3_1(a496)
    | c2_1(a496)
    | c0_1(a496) ),
    inference(instantiation,[status(thm)],[c_16236]) ).

cnf(c_16720,plain,
    ( ~ sP6_iProver_def
    | c3_1(a536)
    | c2_1(a536)
    | c0_1(a536) ),
    inference(instantiation,[status(thm)],[c_16236]) ).

cnf(c_16736,plain,
    ( ~ c3_1(a510)
    | ~ c0_1(a510)
    | ~ sP16_iProver_def
    | c2_1(a510) ),
    inference(instantiation,[status(thm)],[c_16202]) ).

cnf(c_16737,plain,
    ( ~ c3_1(a509)
    | ~ c0_1(a509)
    | ~ sP16_iProver_def
    | c2_1(a509) ),
    inference(instantiation,[status(thm)],[c_16202]) ).

cnf(c_16746,plain,
    ( ~ c2_1(a501)
    | ~ sP21_iProver_def
    | c3_1(a501)
    | c0_1(a501) ),
    inference(instantiation,[status(thm)],[c_16220]) ).

cnf(c_16943,plain,
    ( ~ c3_1(a500)
    | ~ c2_1(a500)
    | ~ c0_1(a500)
    | ~ sP14_iProver_def ),
    inference(instantiation,[status(thm)],[c_16103]) ).

cnf(c_16964,plain,
    ( ~ c2_1(a500)
    | ~ c1_1(a500)
    | ~ c0_1(a500)
    | ~ sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_16196]) ).

cnf(c_16967,plain,
    ( ~ c2_1(a520)
    | ~ c1_1(a520)
    | ~ c0_1(a520)
    | ~ sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_16196]) ).

cnf(c_16969,plain,
    ( ~ c2_1(a522)
    | ~ c1_1(a522)
    | ~ c0_1(a522)
    | ~ sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_16196]) ).

cnf(c_17007,plain,
    ( ~ c2_1(a530)
    | ~ sP22_iProver_def
    | c1_1(a530)
    | c0_1(a530) ),
    inference(instantiation,[status(thm)],[c_16232]) ).

cnf(c_17015,plain,
    ( ~ sP6_iProver_def
    | c3_1(a498)
    | c2_1(a498)
    | c0_1(a498) ),
    inference(instantiation,[status(thm)],[c_16236]) ).

cnf(c_17037,plain,
    ( ~ c1_1(a514)
    | ~ c0_1(a514)
    | ~ sP10_iProver_def
    | c2_1(a514) ),
    inference(instantiation,[status(thm)],[c_16204]) ).

cnf(c_17049,plain,
    ( ~ c2_1(a505)
    | ~ sP22_iProver_def
    | c1_1(a505)
    | c0_1(a505) ),
    inference(instantiation,[status(thm)],[c_16232]) ).

cnf(c_17078,plain,
    ( ~ c0_1(a496)
    | ~ sP18_iProver_def
    | c2_1(a496)
    | c1_1(a496) ),
    inference(instantiation,[status(thm)],[c_16179]) ).

cnf(c_17079,plain,
    ( ~ c0_1(a496)
    | ~ sP25_iProver_def
    | c3_1(a496)
    | c2_1(a496) ),
    inference(instantiation,[status(thm)],[c_16172]) ).

cnf(c_17102,plain,
    ( ~ sP6_iProver_def
    | c3_1(a502)
    | c2_1(a502)
    | c0_1(a502) ),
    inference(instantiation,[status(thm)],[c_16236]) ).

cnf(c_17131,plain,
    ( ~ c3_1(a522)
    | ~ c2_1(a522)
    | ~ c1_1(a522)
    | ~ sP7_iProver_def ),
    inference(instantiation,[status(thm)],[c_16194]) ).

cnf(c_17135,plain,
    ( ~ c0_1(a496)
    | ~ sP23_iProver_def
    | c3_1(a496)
    | c1_1(a496) ),
    inference(instantiation,[status(thm)],[c_16218]) ).

cnf(c_17141,plain,
    ( ~ c2_1(a522)
    | ~ c1_1(a522)
    | ~ sP13_iProver_def
    | c3_1(a522) ),
    inference(instantiation,[status(thm)],[c_16139]) ).

cnf(c_17143,plain,
    ( ~ c2_1(a501)
    | ~ c1_1(a501)
    | ~ sP13_iProver_def
    | c3_1(a501) ),
    inference(instantiation,[status(thm)],[c_16139]) ).

cnf(c_17148,plain,
    ( ~ c3_1(a512)
    | ~ c2_1(a512)
    | ~ c1_1(a512)
    | ~ sP7_iProver_def ),
    inference(instantiation,[status(thm)],[c_16194]) ).

cnf(c_17164,plain,
    ( ~ c2_1(a501)
    | ~ c1_1(a501)
    | ~ c0_1(a501)
    | ~ sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_16196]) ).

cnf(c_17171,plain,
    ( ~ c1_1(a501)
    | ~ c0_1(a501)
    | ~ sP0_iProver_def
    | c3_1(a501) ),
    inference(instantiation,[status(thm)],[c_16198]) ).

cnf(c_17181,plain,
    ( ~ c0_1(a520)
    | ~ sP23_iProver_def
    | c3_1(a520)
    | c1_1(a520) ),
    inference(instantiation,[status(thm)],[c_16218]) ).

cnf(c_17183,plain,
    ( ~ c2_1(a520)
    | ~ sP28_iProver_def
    | c3_1(a520)
    | c1_1(a520) ),
    inference(instantiation,[status(thm)],[c_16214]) ).

cnf(c_17245,plain,
    ( ~ c2_1(a528)
    | ~ c1_1(a528)
    | ~ sP13_iProver_def
    | c3_1(a528) ),
    inference(instantiation,[status(thm)],[c_16139]) ).

cnf(c_17255,plain,
    ( ~ c2_1(a527)
    | ~ sP28_iProver_def
    | c3_1(a527)
    | c1_1(a527) ),
    inference(instantiation,[status(thm)],[c_16214]) ).

cnf(c_17279,plain,
    ( ~ c2_1(a528)
    | ~ c0_1(a528)
    | ~ sP15_iProver_def
    | c3_1(a528) ),
    inference(instantiation,[status(thm)],[c_16163]) ).

cnf(c_17280,plain,
    ( ~ c2_1(a528)
    | ~ c1_1(a528)
    | ~ c0_1(a528)
    | ~ sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_16196]) ).

cnf(c_17285,plain,
    ( ~ c0_1(a528)
    | ~ sP25_iProver_def
    | c3_1(a528)
    | c2_1(a528) ),
    inference(instantiation,[status(thm)],[c_16172]) ).

cnf(c_17286,plain,
    ( ~ c1_1(a528)
    | ~ c0_1(a528)
    | ~ sP10_iProver_def
    | c2_1(a528) ),
    inference(instantiation,[status(thm)],[c_16204]) ).

cnf(c_17320,plain,
    ( ~ c3_1(a499)
    | ~ c2_1(a499)
    | ~ c0_1(a499)
    | ~ sP14_iProver_def ),
    inference(instantiation,[status(thm)],[c_16103]) ).

cnf(c_17361,plain,
    ( ~ c2_1(a504)
    | ~ c1_1(a504)
    | ~ c0_1(a504)
    | ~ sP19_iProver_def ),
    inference(instantiation,[status(thm)],[c_16196]) ).

cnf(c_17509,plain,
    ( ~ c3_1(a540)
    | ~ c1_1(a540)
    | ~ sP1_iProver_def
    | c0_1(a540) ),
    inference(instantiation,[status(thm)],[c_16151]) ).

cnf(c_17521,plain,
    ( ~ c0_1(a554)
    | ~ sP25_iProver_def
    | c3_1(a554)
    | c2_1(a554) ),
    inference(instantiation,[status(thm)],[c_16172]) ).

cnf(c_17538,plain,
    ( ~ c2_1(a497)
    | ~ sP22_iProver_def
    | c1_1(a497)
    | c0_1(a497) ),
    inference(instantiation,[status(thm)],[c_16232]) ).

cnf(c_17541,plain,
    ( ~ c2_1(a502)
    | ~ sP22_iProver_def
    | c1_1(a502)
    | c0_1(a502) ),
    inference(instantiation,[status(thm)],[c_16232]) ).

cnf(c_17567,plain,
    ( ~ c3_1(a530)
    | ~ c2_1(a530)
    | ~ c0_1(a530)
    | ~ sP14_iProver_def ),
    inference(instantiation,[status(thm)],[c_16103]) ).

cnf(c_17629,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17567,c_17541,c_17538,c_17521,c_17509,c_17361,c_17320,c_17279,c_17280,c_17285,c_17286,c_17255,c_17245,c_17181,c_17183,c_17164,c_17171,c_17148,c_17143,c_17141,c_17135,c_17131,c_17102,c_17078,c_17079,c_17049,c_17037,c_17015,c_17007,c_16969,c_16967,c_16964,c_16943,c_16746,c_16737,c_16736,c_16720,c_16716,c_16709,c_16628,c_16622,c_16614,c_16595,c_16594,c_16577,c_16574,c_16570,c_16557,c_16539,c_16537,c_16532,c_16531,c_16520,c_16513,c_16495,c_16488,c_16486,c_16482,c_16478,c_16476,c_16473,c_16471,c_16449,c_16443,c_16438,c_16433,c_16427,c_16426,c_16425,c_16406,c_16404,c_16400,c_16396,c_16391,c_16386,c_16385,c_16377,c_16358,c_16347,c_16344,c_16235,c_16231,c_16229,c_16219,c_16217,c_16215,c_16213,c_16211,c_16207,c_16205,c_16203,c_16195,c_16193,c_16186,c_16183,c_16180,c_16177,c_16171,c_16162,c_16159,c_16153,c_16147,c_16144,c_16141,c_16132,c_16126,c_16120,c_16111,c_16108,c_16102,c_16095,c_16091,c_16087,c_16079,c_16075,c_16071,c_6805,c_6795,c_6785,c_3568,c_3558,c_3548,c_2902,c_2892,c_2882,c_145,c_146,c_153,c_161,c_162,c_163,c_173,c_174,c_177,c_181,c_185,c_186,c_189,c_193,c_197,c_198,c_201,c_205,c_206,c_209,c_213,c_214,c_215,c_217,c_221,c_225,c_226,c_229,c_230,c_233,c_234,c_235,c_237,c_238,c_241,c_242,c_117,c_118,c_119,c_121,c_122,c_123,c_125,c_126,c_127,c_129,c_130,c_131,c_147,c_154,c_155,c_175,c_178,c_179,c_182,c_183,c_187,c_190,c_191,c_194,c_195,c_199,c_203,c_207,c_210,c_211,c_218,c_219,c_222,c_223,c_227,c_231,c_239,c_243,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN470+1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 20:56:42 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.71/1.19  % SZS status Started for theBenchmark.p
% 3.71/1.19  % SZS status Theorem for theBenchmark.p
% 3.71/1.19  
% 3.71/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.71/1.19  
% 3.71/1.19  ------  iProver source info
% 3.71/1.19  
% 3.71/1.19  git: date: 2024-05-02 19:28:25 +0000
% 3.71/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.71/1.19  git: non_committed_changes: false
% 3.71/1.19  
% 3.71/1.19  ------ Parsing...
% 3.71/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.71/1.19  
% 3.71/1.19  
% 3.71/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.71/1.19  
% 3.71/1.19  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.71/1.19   gs_s  sp: 105 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.71/1.19  ------ Proving...
% 3.71/1.19  ------ Problem Properties 
% 3.71/1.19  
% 3.71/1.19  
% 3.71/1.19  clauses                                 194
% 3.71/1.19  conjectures                             194
% 3.71/1.19  EPR                                     194
% 3.71/1.19  Horn                                    111
% 3.71/1.19  unary                                   0
% 3.71/1.19  binary                                  96
% 3.71/1.19  lits                                    516
% 3.71/1.19  lits eq                                 0
% 3.71/1.19  fd_pure                                 0
% 3.71/1.19  fd_pseudo                               0
% 3.71/1.19  fd_cond                                 0
% 3.71/1.19  fd_pseudo_cond                          0
% 3.71/1.19  AC symbols                              0
% 3.71/1.19  
% 3.71/1.19  ------ Schedule EPR non Horn non eq is on
% 3.71/1.19  
% 3.71/1.19  ------ no equalities: superposition off 
% 3.71/1.19  
% 3.71/1.19  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.71/1.19  
% 3.71/1.19  
% 3.71/1.19  ------ 
% 3.71/1.19  Current options:
% 3.71/1.19  ------ 
% 3.71/1.19  
% 3.71/1.19  
% 3.71/1.19  
% 3.71/1.19  
% 3.71/1.19  ------ Proving...
% 3.71/1.19  
% 3.71/1.19  
% 3.71/1.19  % SZS status Theorem for theBenchmark.p
% 3.71/1.19  
% 3.71/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.71/1.19  
% 3.71/1.19  
%------------------------------------------------------------------------------