TSTP Solution File: SYN450+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN450+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 03:30:46 EDT 2024

% Result   : Theorem 4.04s 1.17s
% Output   : CNFRefutation 4.04s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f211)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp17
        | hskp14
        | hskp24 )
      & ( hskp0
        | hskp24
        | hskp20 )
      & ( hskp19
        | hskp22
        | hskp2 )
      & ( hskp17
        | hskp14
        | hskp1 )
      & ( hskp20
        | hskp2
        | hskp18 )
      & ( hskp7
        | hskp1
        | hskp18 )
      & ( hskp25
        | hskp23
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c1_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( hskp29
        | hskp10
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c1_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp9
        | hskp15
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c3_1(X87) ) ) )
      & ( hskp20
        | hskp12
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp29
        | hskp1
        | ! [X85] :
            ( ndr1_0
           => ( ~ c2_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) ) )
      & ( hskp15
        | hskp3
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c1_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp24
        | hskp2
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | c2_1(X83) ) ) )
      & ( hskp8
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | ~ c1_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c1_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp23
        | hskp5
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) ) )
      & ( hskp22
        | hskp20
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c0_1(X79)
              | c2_1(X79) ) ) )
      & ( hskp21
        | hskp11
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c0_1(X78)
              | c2_1(X78) ) ) )
      & ( hskp5
        | hskp29
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | c3_1(X77)
              | c2_1(X77) ) ) )
      & ( hskp5
        | hskp20
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c3_1(X76)
              | c2_1(X76) ) ) )
      & ( hskp19
        | hskp8
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) ) )
      & ( hskp11
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | ~ c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c3_1(X73)
              | c2_1(X73) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c3_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c2_1(X71) ) ) )
      & ( hskp19
        | hskp17
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp7
        | hskp17
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp9
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c0_1(X68)
              | c3_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp4
        | hskp18
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c0_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp17
        | hskp28
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c0_1(X64)
              | c2_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c3_1(X62)
              | c1_1(X62) ) ) )
      & ( hskp7
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c1_1(X61)
              | ~ c0_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c3_1(X60)
              | c1_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c0_1(X59)
              | c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c3_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp16
        | hskp28
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) ) )
      & ( hskp12
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) ) )
      & ( hskp4
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | c2_1(X52)
              | c1_1(X52) ) ) )
      & ( hskp9
        | hskp15
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp4
        | hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp7
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c3_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c2_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c0_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c3_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c2_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | ~ c1_1(X41)
              | ~ c0_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp3
        | hskp6
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp13
        | hskp12
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp6
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c1_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp27
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp11
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | c2_1(X30)
              | c1_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | ~ c1_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c3_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp10
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | ~ c0_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp27
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c2_1(X25)
              | c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp9
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c3_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c1_1(X21)
              | ~ c0_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp3
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c2_1(X18)
              | ~ c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp8
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c1_1(X16)
              | ~ c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp7
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c0_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp2
        | ! [X12] :
            ( ndr1_0
           => ( ~ c1_1(X12)
              | c3_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp2
        | hskp6
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp5
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c3_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp4
        | hskp3
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp0
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c2_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( ~ c1_1(X3)
              | ~ c0_1(X3)
              | c2_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) ) )
      & ( hskp0
        | hskp26
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a688)
          & c2_1(a688)
          & c1_1(a688)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a671)
          & c1_1(a671)
          & c0_1(a671)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a655)
          & c2_1(a655)
          & c0_1(a655)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a640)
          & c1_1(a640)
          & c0_1(a640)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a710)
          & ~ c2_1(a710)
          & ~ c0_1(a710)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a698)
          & ~ c0_1(a698)
          & c1_1(a698)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a695)
          & ~ c0_1(a695)
          & c2_1(a695)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a693)
          & c3_1(a693)
          & c2_1(a693)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a691)
          & ~ c1_1(a691)
          & ~ c0_1(a691)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a686)
          & c2_1(a686)
          & c1_1(a686)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a682)
          & ~ c1_1(a682)
          & c3_1(a682)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a676)
          & c1_1(a676)
          & c0_1(a676)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a675)
          & ~ c1_1(a675)
          & c2_1(a675)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a672)
          & ~ c2_1(a672)
          & c1_1(a672)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a667)
          & ~ c0_1(a667)
          & c3_1(a667)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a665)
          & ~ c0_1(a665)
          & c2_1(a665)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a661)
          & ~ c1_1(a661)
          & c0_1(a661)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a660)
          & ~ c1_1(a660)
          & c0_1(a660)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a657)
          & c2_1(a657)
          & c0_1(a657)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a656)
          & c2_1(a656)
          & c0_1(a656)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a654)
          & ~ c1_1(a654)
          & ~ c0_1(a654)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a652)
          & c3_1(a652)
          & c0_1(a652)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a651)
          & ~ c0_1(a651)
          & c3_1(a651)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a648)
          & ~ c2_1(a648)
          & c0_1(a648)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a647)
          & ~ c0_1(a647)
          & c1_1(a647)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a646)
          & ~ c2_1(a646)
          & ~ c1_1(a646)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a645)
          & c3_1(a645)
          & c1_1(a645)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c0_1(a643)
          & c2_1(a643)
          & c1_1(a643)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a642)
          & c3_1(a642)
          & c0_1(a642)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a641)
          & c3_1(a641)
          & c2_1(a641)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp17
          | hskp14
          | hskp24 )
        & ( hskp0
          | hskp24
          | hskp20 )
        & ( hskp19
          | hskp22
          | hskp2 )
        & ( hskp17
          | hskp14
          | hskp1 )
        & ( hskp20
          | hskp2
          | hskp18 )
        & ( hskp7
          | hskp1
          | hskp18 )
        & ( hskp25
          | hskp23
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c1_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( hskp29
          | hskp10
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp9
          | hskp15
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c3_1(X87) ) ) )
        & ( hskp20
          | hskp12
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp29
          | hskp1
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) ) )
        & ( hskp15
          | hskp3
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp24
          | hskp2
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c2_1(X83) ) ) )
        & ( hskp8
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp23
          | hskp5
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) ) )
        & ( hskp22
          | hskp20
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c0_1(X79)
                | c2_1(X79) ) ) )
        & ( hskp21
          | hskp11
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) ) )
        & ( hskp5
          | hskp29
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) ) )
        & ( hskp5
          | hskp20
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c3_1(X76)
                | c2_1(X76) ) ) )
        & ( hskp19
          | hskp8
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) ) )
        & ( hskp11
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c3_1(X73)
                | c2_1(X73) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c2_1(X71) ) ) )
        & ( hskp19
          | hskp17
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp7
          | hskp17
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp9
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c3_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp4
          | hskp18
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp17
          | hskp28
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c2_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) ) )
        & ( hskp7
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c1_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | c1_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp16
          | hskp28
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) ) )
        & ( hskp12
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) ) )
        & ( hskp4
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp9
          | hskp15
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp4
          | hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp7
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c1_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp3
          | hskp6
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp13
          | hskp12
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp6
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp27
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp11
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c2_1(X30)
                | c1_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c3_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp10
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c0_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp27
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c2_1(X25)
                | c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp9
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c1_1(X21)
                | ~ c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp3
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp8
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c1_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp7
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp2
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp2
          | hskp6
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp5
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp4
          | hskp3
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp0
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | c2_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( hskp0
          | hskp26
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a688)
            & c2_1(a688)
            & c1_1(a688)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a671)
            & c1_1(a671)
            & c0_1(a671)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a655)
            & c2_1(a655)
            & c0_1(a655)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a640)
            & c1_1(a640)
            & c0_1(a640)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a710)
            & ~ c2_1(a710)
            & ~ c0_1(a710)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a698)
            & ~ c0_1(a698)
            & c1_1(a698)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a695)
            & ~ c0_1(a695)
            & c2_1(a695)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a693)
            & c3_1(a693)
            & c2_1(a693)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a691)
            & ~ c1_1(a691)
            & ~ c0_1(a691)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a686)
            & c2_1(a686)
            & c1_1(a686)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a682)
            & ~ c1_1(a682)
            & c3_1(a682)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a676)
            & c1_1(a676)
            & c0_1(a676)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a675)
            & ~ c1_1(a675)
            & c2_1(a675)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a672)
            & ~ c2_1(a672)
            & c1_1(a672)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a667)
            & ~ c0_1(a667)
            & c3_1(a667)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a665)
            & ~ c0_1(a665)
            & c2_1(a665)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a661)
            & ~ c1_1(a661)
            & c0_1(a661)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a660)
            & ~ c1_1(a660)
            & c0_1(a660)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a657)
            & c2_1(a657)
            & c0_1(a657)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a656)
            & c2_1(a656)
            & c0_1(a656)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a654)
            & ~ c1_1(a654)
            & ~ c0_1(a654)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a652)
            & c3_1(a652)
            & c0_1(a652)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a651)
            & ~ c0_1(a651)
            & c3_1(a651)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a648)
            & ~ c2_1(a648)
            & c0_1(a648)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a647)
            & ~ c0_1(a647)
            & c1_1(a647)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a646)
            & ~ c2_1(a646)
            & ~ c1_1(a646)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a645)
            & c3_1(a645)
            & c1_1(a645)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a643)
            & c2_1(a643)
            & c1_1(a643)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a642)
            & c3_1(a642)
            & c0_1(a642)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a641)
            & c3_1(a641)
            & c2_1(a641)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp17
          | hskp14
          | hskp24 )
        & ( hskp0
          | hskp24
          | hskp20 )
        & ( hskp19
          | hskp22
          | hskp2 )
        & ( hskp17
          | hskp14
          | hskp1 )
        & ( hskp20
          | hskp2
          | hskp18 )
        & ( hskp7
          | hskp1
          | hskp18 )
        & ( hskp25
          | hskp23
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | ~ c1_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp29
          | hskp10
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | c3_1(X1) ) ) )
        & ( hskp9
          | hskp15
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c3_1(X2) ) ) )
        & ( hskp20
          | hskp12
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp29
          | hskp1
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp15
          | hskp3
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp24
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp8
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | ~ c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp23
          | hskp5
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp22
          | hskp20
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp21
          | hskp11
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp5
          | hskp29
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp5
          | hskp20
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp19
          | hskp8
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp11
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | ~ c1_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c0_1(X17)
                | c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp19
          | hskp17
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp7
          | hskp17
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp9
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp4
          | hskp18
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp17
          | hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp7
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | c3_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp16
          | hskp28
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp12
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp4
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp9
          | hskp15
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp4
          | hskp14
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp7
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | c3_1(X40)
                | c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp3
          | hskp6
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | hskp12
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp6
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp27
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp11
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp10
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c0_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp27
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp9
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp3
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | ~ c1_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp8
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c1_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp7
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp2
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c1_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp2
          | hskp6
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c1_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp5
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp4
          | hskp3
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | c1_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp0
          | hskp2
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp1
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp0
          | hskp26
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( ( c3_1(a688)
            & c2_1(a688)
            & c1_1(a688)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a671)
            & c1_1(a671)
            & c0_1(a671)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a655)
            & c2_1(a655)
            & c0_1(a655)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a640)
            & c1_1(a640)
            & c0_1(a640)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a710)
            & ~ c2_1(a710)
            & ~ c0_1(a710)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a698)
            & ~ c0_1(a698)
            & c1_1(a698)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a695)
            & ~ c0_1(a695)
            & c2_1(a695)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a693)
            & c3_1(a693)
            & c2_1(a693)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a691)
            & ~ c1_1(a691)
            & ~ c0_1(a691)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a686)
            & c2_1(a686)
            & c1_1(a686)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a682)
            & ~ c1_1(a682)
            & c3_1(a682)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a676)
            & c1_1(a676)
            & c0_1(a676)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a675)
            & ~ c1_1(a675)
            & c2_1(a675)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a672)
            & ~ c2_1(a672)
            & c1_1(a672)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a667)
            & ~ c0_1(a667)
            & c3_1(a667)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a665)
            & ~ c0_1(a665)
            & c2_1(a665)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a661)
            & ~ c1_1(a661)
            & c0_1(a661)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a660)
            & ~ c1_1(a660)
            & c0_1(a660)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a657)
            & c2_1(a657)
            & c0_1(a657)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a656)
            & c2_1(a656)
            & c0_1(a656)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a654)
            & ~ c1_1(a654)
            & ~ c0_1(a654)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a652)
            & c3_1(a652)
            & c0_1(a652)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a651)
            & ~ c0_1(a651)
            & c3_1(a651)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a648)
            & ~ c2_1(a648)
            & c0_1(a648)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a647)
            & ~ c0_1(a647)
            & c1_1(a647)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a646)
            & ~ c2_1(a646)
            & ~ c1_1(a646)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a645)
            & c3_1(a645)
            & c1_1(a645)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c0_1(a643)
            & c2_1(a643)
            & c1_1(a643)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a642)
            & c3_1(a642)
            & c0_1(a642)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a641)
            & c3_1(a641)
            & c2_1(a641)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp17
      | hskp14
      | hskp24 )
    & ( hskp0
      | hskp24
      | hskp20 )
    & ( hskp19
      | hskp22
      | hskp2 )
    & ( hskp17
      | hskp14
      | hskp1 )
    & ( hskp20
      | hskp2
      | hskp18 )
    & ( hskp7
      | hskp1
      | hskp18 )
    & ( hskp25
      | hskp23
      | ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | ~ c1_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp29
      | hskp10
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | c3_1(X1) ) ) )
    & ( hskp9
      | hskp15
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c0_1(X2)
            | c3_1(X2) ) ) )
    & ( hskp20
      | hskp12
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp29
      | hskp1
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp15
      | hskp3
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp24
      | hskp2
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | c2_1(X6) ) ) )
    & ( hskp8
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c2_1(X7)
            | ~ c1_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp23
      | hskp5
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp22
      | hskp20
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp21
      | hskp11
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp5
      | hskp29
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | c3_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp5
      | hskp20
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp19
      | hskp8
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp11
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c2_1(X15)
            | ~ c1_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c0_1(X17)
            | c3_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp19
      | hskp17
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp7
      | hskp17
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp9
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c0_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp4
      | hskp18
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp17
      | hskp28
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp7
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | c3_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp16
      | hskp28
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp12
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp4
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp9
      | hskp15
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp4
      | hskp14
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp7
      | ! [X40] :
          ( ndr1_0
         => ( ~ c0_1(X40)
            | c3_1(X40)
            | c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c0_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | c3_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c1_1(X44)
            | c0_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | ~ c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c1_1(X47)
            | c0_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | ~ c0_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp3
      | hskp6
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp6
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp27
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp11
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | c3_1(X58)
            | c0_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp10
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | ~ c0_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp27
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp9
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( c3_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c1_1(X68)
            | ~ c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp3
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | ~ c1_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | c1_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp8
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c1_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c1_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp7
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c0_1(X75)
            | c2_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c1_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp2
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c3_1(X77)
            | c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c1_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp2
      | hskp6
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | c1_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp5
      | ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | c3_1(X80)
            | c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c1_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp4
      | hskp3
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | c1_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp0
      | hskp2
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | c1_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp1
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c0_1(X86)
            | c2_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp0
      | hskp26
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( ( c3_1(a688)
        & c2_1(a688)
        & c1_1(a688)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a671)
        & c1_1(a671)
        & c0_1(a671)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a655)
        & c2_1(a655)
        & c0_1(a655)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a640)
        & c1_1(a640)
        & c0_1(a640)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a710)
        & ~ c2_1(a710)
        & ~ c0_1(a710)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a698)
        & ~ c0_1(a698)
        & c1_1(a698)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a695)
        & ~ c0_1(a695)
        & c2_1(a695)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a693)
        & c3_1(a693)
        & c2_1(a693)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a691)
        & ~ c1_1(a691)
        & ~ c0_1(a691)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a686)
        & c2_1(a686)
        & c1_1(a686)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a682)
        & ~ c1_1(a682)
        & c3_1(a682)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a676)
        & c1_1(a676)
        & c0_1(a676)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a675)
        & ~ c1_1(a675)
        & c2_1(a675)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a672)
        & ~ c2_1(a672)
        & c1_1(a672)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a667)
        & ~ c0_1(a667)
        & c3_1(a667)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a665)
        & ~ c0_1(a665)
        & c2_1(a665)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a661)
        & ~ c1_1(a661)
        & c0_1(a661)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a660)
        & ~ c1_1(a660)
        & c0_1(a660)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a657)
        & c2_1(a657)
        & c0_1(a657)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a656)
        & c2_1(a656)
        & c0_1(a656)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a654)
        & ~ c1_1(a654)
        & ~ c0_1(a654)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a652)
        & c3_1(a652)
        & c0_1(a652)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a651)
        & ~ c0_1(a651)
        & c3_1(a651)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a647)
        & ~ c0_1(a647)
        & c1_1(a647)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a646)
        & ~ c2_1(a646)
        & ~ c1_1(a646)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a645)
        & c3_1(a645)
        & c1_1(a645)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a643)
        & c2_1(a643)
        & c1_1(a643)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a642)
        & c3_1(a642)
        & c0_1(a642)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a641)
        & c3_1(a641)
        & c2_1(a641)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp17
      | hskp14
      | hskp24 )
    & ( hskp0
      | hskp24
      | hskp20 )
    & ( hskp19
      | hskp22
      | hskp2 )
    & ( hskp17
      | hskp14
      | hskp1 )
    & ( hskp20
      | hskp2
      | hskp18 )
    & ( hskp7
      | hskp1
      | hskp18 )
    & ( hskp25
      | hskp23
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp10
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp12
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp1
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp3
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp2
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp5
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp11
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp20
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp8
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp17
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp17
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp28
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp28
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp14
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp6
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c1_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c0_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c3_1(X68)
          | ~ c1_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c1_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp6
      | ! [X79] :
          ( ~ c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X80] :
          ( ~ c2_1(X80)
          | c3_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c2_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X82] :
          ( c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp2
      | ! [X83] :
          ( c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp26
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a688)
        & c2_1(a688)
        & c1_1(a688)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a671)
        & c1_1(a671)
        & c0_1(a671)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a655)
        & c2_1(a655)
        & c0_1(a655)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a640)
        & c1_1(a640)
        & c0_1(a640)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a710)
        & ~ c2_1(a710)
        & ~ c0_1(a710)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a698)
        & ~ c0_1(a698)
        & c1_1(a698)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a695)
        & ~ c0_1(a695)
        & c2_1(a695)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a693)
        & c3_1(a693)
        & c2_1(a693)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a691)
        & ~ c1_1(a691)
        & ~ c0_1(a691)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a686)
        & c2_1(a686)
        & c1_1(a686)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a682)
        & ~ c1_1(a682)
        & c3_1(a682)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a676)
        & c1_1(a676)
        & c0_1(a676)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a675)
        & ~ c1_1(a675)
        & c2_1(a675)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a672)
        & ~ c2_1(a672)
        & c1_1(a672)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a667)
        & ~ c0_1(a667)
        & c3_1(a667)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a665)
        & ~ c0_1(a665)
        & c2_1(a665)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a661)
        & ~ c1_1(a661)
        & c0_1(a661)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a660)
        & ~ c1_1(a660)
        & c0_1(a660)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a657)
        & c2_1(a657)
        & c0_1(a657)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a656)
        & c2_1(a656)
        & c0_1(a656)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a654)
        & ~ c1_1(a654)
        & ~ c0_1(a654)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a652)
        & c3_1(a652)
        & c0_1(a652)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a651)
        & ~ c0_1(a651)
        & c3_1(a651)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a647)
        & ~ c0_1(a647)
        & c1_1(a647)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a646)
        & ~ c2_1(a646)
        & ~ c1_1(a646)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a645)
        & c3_1(a645)
        & c1_1(a645)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a643)
        & c2_1(a643)
        & c1_1(a643)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a642)
        & c3_1(a642)
        & c0_1(a642)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a641)
        & c3_1(a641)
        & c2_1(a641)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp17
      | hskp14
      | hskp24 )
    & ( hskp0
      | hskp24
      | hskp20 )
    & ( hskp19
      | hskp22
      | hskp2 )
    & ( hskp17
      | hskp14
      | hskp1 )
    & ( hskp20
      | hskp2
      | hskp18 )
    & ( hskp7
      | hskp1
      | hskp18 )
    & ( hskp25
      | hskp23
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp10
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp12
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp1
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp3
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp2
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp5
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp11
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp20
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp8
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c2_1(X17)
          | ~ c0_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp17
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp17
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X21] :
          ( ~ c1_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp28
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | c3_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp28
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp14
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X40] :
          ( ~ c0_1(X40)
          | c3_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c0_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp6
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c1_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c0_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X66] :
          ( ~ c2_1(X66)
          | c3_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( ! [X68] :
          ( ~ c3_1(X68)
          | ~ c1_1(X68)
          | ~ c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( c3_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X71] :
          ( ~ c3_1(X71)
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X73] :
          ( ~ c2_1(X73)
          | ~ c1_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X77] :
          ( ~ c1_1(X77)
          | c3_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp6
      | ! [X79] :
          ( ~ c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X80] :
          ( ~ c2_1(X80)
          | c3_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c2_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X82] :
          ( c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp2
      | ! [X83] :
          ( c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c1_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp26
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a688)
        & c2_1(a688)
        & c1_1(a688)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a671)
        & c1_1(a671)
        & c0_1(a671)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a655)
        & c2_1(a655)
        & c0_1(a655)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a640)
        & c1_1(a640)
        & c0_1(a640)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a710)
        & ~ c2_1(a710)
        & ~ c0_1(a710)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a698)
        & ~ c0_1(a698)
        & c1_1(a698)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a695)
        & ~ c0_1(a695)
        & c2_1(a695)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a693)
        & c3_1(a693)
        & c2_1(a693)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a691)
        & ~ c1_1(a691)
        & ~ c0_1(a691)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a686)
        & c2_1(a686)
        & c1_1(a686)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a682)
        & ~ c1_1(a682)
        & c3_1(a682)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a676)
        & c1_1(a676)
        & c0_1(a676)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a675)
        & ~ c1_1(a675)
        & c2_1(a675)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a672)
        & ~ c2_1(a672)
        & c1_1(a672)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a667)
        & ~ c0_1(a667)
        & c3_1(a667)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a665)
        & ~ c0_1(a665)
        & c2_1(a665)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a661)
        & ~ c1_1(a661)
        & c0_1(a661)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a660)
        & ~ c1_1(a660)
        & c0_1(a660)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a657)
        & c2_1(a657)
        & c0_1(a657)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a656)
        & c2_1(a656)
        & c0_1(a656)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a654)
        & ~ c1_1(a654)
        & ~ c0_1(a654)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a652)
        & c3_1(a652)
        & c0_1(a652)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a651)
        & ~ c0_1(a651)
        & c3_1(a651)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a648)
        & ~ c2_1(a648)
        & c0_1(a648)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a647)
        & ~ c0_1(a647)
        & c1_1(a647)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a646)
        & ~ c2_1(a646)
        & ~ c1_1(a646)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a645)
        & c3_1(a645)
        & c1_1(a645)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c0_1(a643)
        & c2_1(a643)
        & c1_1(a643)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a642)
        & c3_1(a642)
        & c0_1(a642)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a641)
        & c3_1(a641)
        & c2_1(a641)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c2_1(a641)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c3_1(a641)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c1_1(a641)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f11,plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c0_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( c3_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c1_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c1_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( c2_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c0_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c1_1(a645)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( c3_1(a645)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c2_1(a645)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( ~ c1_1(a646)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( ~ c2_1(a646)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c3_1(a646)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c1_1(a647)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c0_1(a647)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c3_1(a647)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c0_1(a648)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( ~ c2_1(a648)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c3_1(a648)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f35,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c3_1(a651)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( ~ c0_1(a651)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c1_1(a651)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c0_1(a652)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( c3_1(a652)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c2_1(a652)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c0_1(a656)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( c2_1(a656)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c1_1(a656)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c0_1(a657)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( c2_1(a657)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c3_1(a657)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c0_1(a660)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( ~ c1_1(a660)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c2_1(a660)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c0_1(a661)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( ~ c1_1(a661)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c3_1(a661)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c2_1(a665)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( ~ c0_1(a665)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c1_1(a665)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c2_1(a675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( ~ c1_1(a675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c3_1(a675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f79,plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f80,plain,
    ( c0_1(a676)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f81,plain,
    ( c1_1(a676)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f82,plain,
    ( ~ c2_1(a676)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c3_1(a682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( ~ c1_1(a682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c2_1(a682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( c1_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( c2_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c3_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( ~ c0_1(a691)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( ~ c1_1(a691)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c3_1(a691)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( c2_1(a693)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( c3_1(a693)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c0_1(a693)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f100,plain,
    ( c2_1(a695)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f101,plain,
    ( ~ c0_1(a695)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f102,plain,
    ( ~ c3_1(a695)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c1_1(a698)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( ~ c0_1(a698)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c2_1(a698)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f108,plain,
    ( ~ c0_1(a710)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f109,plain,
    ( ~ c2_1(a710)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f110,plain,
    ( ~ c3_1(a710)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c0_1(a655)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ( c2_1(a655)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( c3_1(a655)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f120,plain,
    ( c0_1(a671)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f121,plain,
    ( c1_1(a671)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f122,plain,
    ( c2_1(a671)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f130,plain,
    ! [X83] :
      ( hskp0
      | hskp2
      | c3_1(X83)
      | c1_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f133,plain,
    ! [X79] :
      ( hskp2
      | hskp6
      | ~ c2_1(X79)
      | c1_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f146,plain,
    ! [X52] :
      ( hskp13
      | hskp12
      | ~ c1_1(X52)
      | c3_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f147,plain,
    ! [X51] :
      ( hskp3
      | hskp6
      | ~ c2_1(X51)
      | c3_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f152,plain,
    ! [X39] :
      ( hskp4
      | hskp14
      | ~ c3_1(X39)
      | ~ c2_1(X39)
      | c0_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f160,plain,
    ! [X24] :
      ( hskp17
      | hskp28
      | ~ c3_1(X24)
      | ~ c0_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f161,plain,
    ! [X23] :
      ( hskp4
      | hskp18
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f163,plain,
    ! [X20] :
      ( hskp7
      | hskp17
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f164,plain,
    ! [X19] :
      ( hskp19
      | hskp17
      | ~ c3_1(X19)
      | ~ c2_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f168,plain,
    ! [X13] :
      ( hskp5
      | hskp20
      | ~ c0_1(X13)
      | c3_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f170,plain,
    ! [X11] :
      ( hskp21
      | hskp11
      | ~ c3_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f172,plain,
    ! [X9] :
      ( hskp23
      | hskp5
      | ~ c3_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f174,plain,
    ! [X6] :
      ( hskp24
      | hskp2
      | ~ c3_1(X6)
      | ~ c1_1(X6)
      | c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f177,plain,
    ! [X3] :
      ( hskp20
      | hskp12
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f180,plain,
    ! [X0] :
      ( hskp25
      | hskp23
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f181,plain,
    ( hskp7
    | hskp1
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f182,plain,
    ( hskp20
    | hskp2
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f183,plain,
    ( hskp17
    | hskp14
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f184,plain,
    ( hskp19
    | hskp22
    | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f186,plain,
    ( hskp17
    | hskp14
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp24 ),
    inference(cnf_transformation,[],[f186]) ).

cnf(c_51,negated_conjecture,
    ( hskp19
    | hskp22
    | hskp2 ),
    inference(cnf_transformation,[],[f184]) ).

cnf(c_52,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp1 ),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_53,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp18 ),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_54,negated_conjecture,
    ( hskp1
    | hskp18
    | hskp7 ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_55,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp25
    | hskp23 ),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_58,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp20
    | hskp12 ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_61,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp24
    | hskp2 ),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_62,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f187]) ).

cnf(c_63,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp23
    | hskp5 ),
    inference(cnf_transformation,[],[f172]) ).

cnf(c_65,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp21
    | hskp11 ),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_67,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | hskp20
    | hskp5 ),
    inference(cnf_transformation,[],[f168]) ).

cnf(c_69,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp11 ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_70,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(cnf_transformation,[],[f189]) ).

cnf(c_71,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp17
    | hskp19 ),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_72,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp17
    | hskp7 ),
    inference(cnf_transformation,[],[f163]) ).

cnf(c_74,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp18
    | hskp4 ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_75,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp17
    | hskp28 ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_76,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1) ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_77,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_78,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_80,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | hskp12 ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_83,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp14
    | hskp4 ),
    inference(cnf_transformation,[],[f152]) ).

cnf(c_84,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X0)
    | c3_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_86,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_87,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f199]) ).

cnf(c_88,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | hskp3
    | hskp6 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_89,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | hskp12
    | hskp13 ),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_90,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_91,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp27 ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_93,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_94,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f204]) ).

cnf(c_95,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_98,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp3 ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_99,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_100,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_101,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | hskp2 ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_102,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp2
    | hskp6 ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_103,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | hskp5 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_105,negated_conjecture,
    ( ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp0
    | hskp2 ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_106,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_107,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_113,negated_conjecture,
    ( ~ hskp28
    | c2_1(a671) ),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_114,negated_conjecture,
    ( ~ hskp28
    | c1_1(a671) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_115,negated_conjecture,
    ( ~ hskp28
    | c0_1(a671) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_117,negated_conjecture,
    ( ~ hskp27
    | c3_1(a655) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_118,negated_conjecture,
    ( ~ hskp27
    | c2_1(a655) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp27
    | c0_1(a655) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_125,negated_conjecture,
    ( ~ c3_1(a710)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_126,negated_conjecture,
    ( ~ c2_1(a710)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_127,negated_conjecture,
    ( ~ c0_1(a710)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_129,negated_conjecture,
    ( ~ c2_1(a698)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_130,negated_conjecture,
    ( ~ c0_1(a698)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp24
    | c1_1(a698) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_133,negated_conjecture,
    ( ~ c3_1(a695)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_134,negated_conjecture,
    ( ~ c0_1(a695)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp23
    | c2_1(a695) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_137,negated_conjecture,
    ( ~ c0_1(a693)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp22
    | c3_1(a693) ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp22
    | c2_1(a693) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_141,negated_conjecture,
    ( ~ c3_1(a691)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_142,negated_conjecture,
    ( ~ c1_1(a691)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_143,negated_conjecture,
    ( ~ c0_1(a691)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_145,negated_conjecture,
    ( ~ c3_1(a686)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_146,negated_conjecture,
    ( ~ hskp20
    | c2_1(a686) ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_147,negated_conjecture,
    ( ~ hskp20
    | c1_1(a686) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_149,negated_conjecture,
    ( ~ c2_1(a682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_150,negated_conjecture,
    ( ~ c1_1(a682)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_151,negated_conjecture,
    ( ~ hskp19
    | c3_1(a682) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_153,negated_conjecture,
    ( ~ c2_1(a676)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_154,negated_conjecture,
    ( ~ hskp18
    | c1_1(a676) ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp18
    | c0_1(a676) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_156,negated_conjecture,
    ( ~ hskp18
    | ndr1_0 ),
    inference(cnf_transformation,[],[f79]) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(a675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_158,negated_conjecture,
    ( ~ c1_1(a675)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp17
    | c2_1(a675) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_169,negated_conjecture,
    ( ~ c1_1(a665)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_170,negated_conjecture,
    ( ~ c0_1(a665)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp14
    | c2_1(a665) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_173,negated_conjecture,
    ( ~ c3_1(a661)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_174,negated_conjecture,
    ( ~ c1_1(a661)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp13
    | c0_1(a661) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_177,negated_conjecture,
    ( ~ c2_1(a660)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_178,negated_conjecture,
    ( ~ c1_1(a660)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp12
    | c0_1(a660) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_181,negated_conjecture,
    ( ~ c3_1(a657)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_182,negated_conjecture,
    ( ~ hskp11
    | c2_1(a657) ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp11
    | c0_1(a657) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_185,negated_conjecture,
    ( ~ c1_1(a656)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_186,negated_conjecture,
    ( ~ hskp10
    | c2_1(a656) ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp10
    | c0_1(a656) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_193,negated_conjecture,
    ( ~ c2_1(a652)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_194,negated_conjecture,
    ( ~ hskp8
    | c3_1(a652) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp8
    | c0_1(a652) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_197,negated_conjecture,
    ( ~ c1_1(a651)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_198,negated_conjecture,
    ( ~ c0_1(a651)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp7
    | c3_1(a651) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_200,negated_conjecture,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_201,negated_conjecture,
    ( ~ c3_1(a648)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_202,negated_conjecture,
    ( ~ c2_1(a648)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp6
    | c0_1(a648) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_205,negated_conjecture,
    ( ~ c3_1(a647)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_206,negated_conjecture,
    ( ~ c0_1(a647)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp5
    | c1_1(a647) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_209,negated_conjecture,
    ( ~ c3_1(a646)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_210,negated_conjecture,
    ( ~ c2_1(a646)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_211,negated_conjecture,
    ( ~ c1_1(a646)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_213,negated_conjecture,
    ( ~ c2_1(a645)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_214,negated_conjecture,
    ( ~ hskp3
    | c3_1(a645) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp3
    | c1_1(a645) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_217,negated_conjecture,
    ( ~ c0_1(a643)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_218,negated_conjecture,
    ( ~ hskp2
    | c2_1(a643) ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_219,negated_conjecture,
    ( ~ hskp2
    | c1_1(a643) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_221,negated_conjecture,
    ( ~ c1_1(a642)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_222,negated_conjecture,
    ( ~ hskp1
    | c3_1(a642) ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp1
    | c0_1(a642) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_224,negated_conjecture,
    ( ~ hskp1
    | ndr1_0 ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_225,negated_conjecture,
    ( ~ c1_1(a641)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_226,negated_conjecture,
    ( ~ hskp0
    | c3_1(a641) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp0
    | c2_1(a641) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_228,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_259,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_228,c_224,c_200,c_156,c_54]) ).

cnf(c_322,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp0
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_105,c_224,c_200,c_156,c_54,c_105]) ).

cnf(c_328,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp2
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_224,c_200,c_156,c_54,c_102]) ).

cnf(c_331,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp12
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_224,c_200,c_156,c_54,c_89]) ).

cnf(c_334,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp3
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_224,c_200,c_156,c_54,c_88]) ).

cnf(c_343,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp20
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_224,c_200,c_156,c_54,c_67]) ).

cnf(c_349,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp14
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_224,c_200,c_156,c_54,c_83]) ).

cnf(c_350,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp14
    | hskp4 ),
    inference(renaming,[status(thm)],[c_349]) ).

cnf(c_355,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp17
    | hskp28 ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_224,c_200,c_156,c_54,c_75]) ).

cnf(c_356,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp17
    | hskp28 ),
    inference(renaming,[status(thm)],[c_355]) ).

cnf(c_358,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp18
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_224,c_200,c_156,c_54,c_74]) ).

cnf(c_359,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp18
    | hskp4 ),
    inference(renaming,[status(thm)],[c_358]) ).

cnf(c_361,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp17
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_224,c_200,c_156,c_54,c_72]) ).

cnf(c_362,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp17
    | hskp7 ),
    inference(renaming,[status(thm)],[c_361]) ).

cnf(c_364,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp17
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_224,c_200,c_156,c_54,c_71]) ).

cnf(c_365,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp17
    | hskp19 ),
    inference(renaming,[status(thm)],[c_364]) ).

cnf(c_367,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp21
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_65,c_224,c_200,c_156,c_54,c_65]) ).

cnf(c_368,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp21
    | hskp11 ),
    inference(renaming,[status(thm)],[c_367]) ).

cnf(c_373,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp23
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_63,c_224,c_200,c_156,c_54,c_63]) ).

cnf(c_374,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp23
    | hskp5 ),
    inference(renaming,[status(thm)],[c_373]) ).

cnf(c_376,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_224,c_200,c_156,c_54,c_61]) ).

cnf(c_377,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp2 ),
    inference(renaming,[status(thm)],[c_376]) ).

cnf(c_385,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp20
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_224,c_200,c_156,c_54,c_58]) ).

cnf(c_386,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp20
    | hskp12 ),
    inference(renaming,[status(thm)],[c_385]) ).

cnf(c_394,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | hskp25
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_55,c_224,c_200,c_156,c_54,c_55]) ).

cnf(c_395,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp25
    | hskp23 ),
    inference(renaming,[status(thm)],[c_394]) ).

cnf(c_401,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_224,c_200,c_156,c_54,c_106]) ).

cnf(c_402,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_401]) ).

cnf(c_403,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_224,c_200,c_156,c_54,c_103]) ).

cnf(c_404,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_403]) ).

cnf(c_406,plain,
    ( ~ c3_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_101,c_259]) ).

cnf(c_407,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_406]) ).

cnf(c_408,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_224,c_200,c_156,c_54,c_95]) ).

cnf(c_409,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp27 ),
    inference(renaming,[status(thm)],[c_408]) ).

cnf(c_411,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_224,c_200,c_156,c_54,c_80]) ).

cnf(c_412,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_411]) ).

cnf(c_414,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_224,c_200,c_156,c_54,c_70]) ).

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

cnf(c_416,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_224,c_200,c_156,c_54,c_100]) ).

cnf(c_417,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_416]) ).

cnf(c_418,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_224,c_200,c_156,c_54,c_94]) ).

cnf(c_419,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_418]) ).

cnf(c_422,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_224,c_200,c_156,c_54,c_91]) ).

cnf(c_423,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp27 ),
    inference(renaming,[status(thm)],[c_422]) ).

cnf(c_424,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_224,c_200,c_156,c_54,c_90]) ).

cnf(c_425,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_424]) ).

cnf(c_426,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c3_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_224,c_200,c_156,c_54,c_84]) ).

cnf(c_427,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c3_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_426]) ).

cnf(c_428,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_224,c_200,c_156,c_54,c_99]) ).

cnf(c_429,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_430,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_224,c_200,c_156,c_54,c_98]) ).

cnf(c_431,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_430]) ).

cnf(c_432,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_77,c_224,c_200,c_156,c_54,c_77]) ).

cnf(c_433,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_432]) ).

cnf(c_436,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_224,c_200,c_156,c_54,c_69]) ).

cnf(c_437,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_436]) ).

cnf(c_438,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_224,c_200,c_156,c_54,c_62]) ).

cnf(c_439,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_438]) ).

cnf(c_440,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_224,c_200,c_156,c_54,c_107]) ).

cnf(c_441,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_440]) ).

cnf(c_444,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_224,c_200,c_156,c_54,c_93]) ).

cnf(c_445,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(renaming,[status(thm)],[c_444]) ).

cnf(c_448,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_224,c_200,c_156,c_54,c_78]) ).

cnf(c_449,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X0)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_448]) ).

cnf(c_451,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_224,c_200,c_156,c_54,c_76]) ).

cnf(c_452,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X0)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1) ),
    inference(renaming,[status(thm)],[c_451]) ).

cnf(c_453,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_87,c_224,c_200,c_156,c_54,c_87]) ).

cnf(c_454,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_453]) ).

cnf(c_455,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_224,c_200,c_156,c_54,c_86]) ).

cnf(c_456,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_455]) ).

cnf(c_1917,plain,
    ( c2_1(a693)
    | hskp19
    | hskp2 ),
    inference(resolution,[status(thm)],[c_51,c_139]) ).

cnf(c_1927,plain,
    ( c3_1(a693)
    | hskp19
    | hskp2 ),
    inference(resolution,[status(thm)],[c_51,c_138]) ).

cnf(c_1937,plain,
    ( ~ c0_1(a693)
    | hskp19
    | hskp2 ),
    inference(resolution,[status(thm)],[c_51,c_137]) ).

cnf(c_2460,plain,
    ( c1_1(a698)
    | hskp17
    | hskp14 ),
    inference(resolution,[status(thm)],[c_49,c_131]) ).

cnf(c_2480,plain,
    ( ~ c2_1(a698)
    | hskp17
    | hskp14 ),
    inference(resolution,[status(thm)],[c_49,c_129]) ).

cnf(c_4303,plain,
    ( c3_1(a642)
    | hskp18
    | hskp7 ),
    inference(resolution,[status(thm)],[c_54,c_222]) ).

cnf(c_4313,plain,
    ( ~ c1_1(a642)
    | hskp18
    | hskp7 ),
    inference(resolution,[status(thm)],[c_54,c_221]) ).

cnf(c_5040,plain,
    ( c2_1(a675)
    | hskp14
    | hskp1 ),
    inference(resolution,[status(thm)],[c_52,c_159]) ).

cnf(c_5050,plain,
    ( ~ c1_1(a675)
    | hskp14
    | hskp1 ),
    inference(resolution,[status(thm)],[c_52,c_158]) ).

cnf(c_5060,plain,
    ( ~ c3_1(a675)
    | hskp14
    | hskp1 ),
    inference(resolution,[status(thm)],[c_52,c_157]) ).

cnf(c_5070,plain,
    ( c2_1(a675)
    | hskp14
    | hskp24 ),
    inference(resolution,[status(thm)],[c_49,c_159]) ).

cnf(c_5080,plain,
    ( ~ c1_1(a675)
    | hskp14
    | hskp24 ),
    inference(resolution,[status(thm)],[c_49,c_158]) ).

cnf(c_5090,plain,
    ( ~ c3_1(a675)
    | hskp14
    | hskp24 ),
    inference(resolution,[status(thm)],[c_49,c_157]) ).

cnf(c_5316,plain,
    ( c1_1(a686)
    | hskp2
    | hskp18 ),
    inference(resolution,[status(thm)],[c_53,c_147]) ).

cnf(c_5326,plain,
    ( c2_1(a686)
    | hskp2
    | hskp18 ),
    inference(resolution,[status(thm)],[c_53,c_146]) ).

cnf(c_5336,plain,
    ( ~ c3_1(a686)
    | hskp2
    | hskp18 ),
    inference(resolution,[status(thm)],[c_53,c_145]) ).

cnf(c_14041,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_456]) ).

cnf(c_14042,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_456]) ).

cnf(c_14043,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_456]) ).

cnf(c_14044,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

cnf(c_14045,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_454]) ).

cnf(c_14046,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

cnf(c_14047,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_452]) ).

cnf(c_14048,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_452]) ).

cnf(c_14049,negated_conjecture,
    ( sP0_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

cnf(c_14050,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_449]) ).

cnf(c_14051,negated_conjecture,
    ( c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_449]) ).

cnf(c_14052,negated_conjecture,
    ( c3_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_449]) ).

cnf(c_14053,negated_conjecture,
    ( sP6_iProver_def
    | sP7_iProver_def
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_449]) ).

cnf(c_14056,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_445]) ).

cnf(c_14057,negated_conjecture,
    ( c3_1(X0)
    | c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_445]) ).

cnf(c_14058,negated_conjecture,
    ( sP1_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

cnf(c_14063,negated_conjecture,
    ( c3_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | ~ sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_def])],[c_441]) ).

cnf(c_14064,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_441]) ).

cnf(c_14065,negated_conjecture,
    ( sP4_iProver_def
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

cnf(c_14066,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_439]) ).

cnf(c_14068,negated_conjecture,
    ( c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_437]) ).

cnf(c_14069,negated_conjecture,
    ( hskp11
    | sP2_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_437]) ).

cnf(c_14072,negated_conjecture,
    ( hskp7
    | sP3_iProver_def
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

cnf(c_14073,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_431]) ).

cnf(c_14074,negated_conjecture,
    ( hskp3
    | sP2_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

cnf(c_14075,negated_conjecture,
    ( hskp8
    | sP3_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_14076,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_427]) ).

cnf(c_14078,negated_conjecture,
    ( hskp6
    | sP11_iProver_def
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_425]) ).

cnf(c_14079,negated_conjecture,
    ( hskp27
    | sP0_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).

cnf(c_14081,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_419]) ).

cnf(c_14082,negated_conjecture,
    ( hskp10
    | sP4_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_419]) ).

cnf(c_14083,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | ~ sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_def])],[c_417]) ).

cnf(c_14085,negated_conjecture,
    ( sP8_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

cnf(c_14086,negated_conjecture,
    ( hskp12
    | sP7_iProver_def
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

cnf(c_14087,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_409]) ).

cnf(c_14088,negated_conjecture,
    ( hskp27
    | sP22_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_409]) ).

cnf(c_14089,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_407]) ).

cnf(c_14090,negated_conjecture,
    ( hskp2
    | sP20_iProver_def
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_407]) ).

cnf(c_14091,negated_conjecture,
    ( hskp5
    | sP5_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).

cnf(c_14092,negated_conjecture,
    ( hskp1
    | sP15_iProver_def
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

cnf(c_14095,negated_conjecture,
    ( hskp25
    | hskp23
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

cnf(c_14099,negated_conjecture,
    ( hskp20
    | hskp12
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

cnf(c_14102,negated_conjecture,
    ( hskp24
    | hskp2
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

cnf(c_14103,negated_conjecture,
    ( hskp23
    | hskp5
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_374]) ).

cnf(c_14105,negated_conjecture,
    ( hskp21
    | hskp11
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_368]) ).

cnf(c_14106,negated_conjecture,
    ( hskp17
    | hskp19
    | sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

cnf(c_14107,negated_conjecture,
    ( hskp17
    | hskp7
    | sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

cnf(c_14108,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | ~ sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_def])],[c_359]) ).

cnf(c_14109,negated_conjecture,
    ( hskp18
    | hskp4
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_359]) ).

cnf(c_14110,negated_conjecture,
    ( hskp17
    | hskp28
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

cnf(c_14112,negated_conjecture,
    ( hskp14
    | hskp4
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_350]) ).

cnf(c_14114,negated_conjecture,
    ( hskp20
    | hskp5
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_343]) ).

cnf(c_14117,negated_conjecture,
    ( c3_1(X0)
    | c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_def])],[c_334]) ).

cnf(c_14118,negated_conjecture,
    ( hskp3
    | hskp6
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_334]) ).

cnf(c_14119,negated_conjecture,
    ( hskp12
    | hskp13
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_331]) ).

cnf(c_14120,negated_conjecture,
    ( hskp2
    | hskp6
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_328]) ).

cnf(c_14122,negated_conjecture,
    ( hskp0
    | hskp2
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_322]) ).

cnf(c_14125,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_14044]) ).

cnf(c_14129,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_14046]) ).

cnf(c_14133,negated_conjecture,
    ( sP0_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_14049]) ).

cnf(c_14137,negated_conjecture,
    ( sP6_iProver_def
    | sP7_iProver_def
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_14053]) ).

cnf(c_14140,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP6_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14050]) ).

cnf(c_14145,negated_conjecture,
    ( sP1_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_14058]) ).

cnf(c_14146,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP1_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14042]) ).

cnf(c_14153,negated_conjecture,
    ( sP4_iProver_def
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_14065]) ).

cnf(c_14160,negated_conjecture,
    ( hskp11
    | sP2_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_14069]) ).

cnf(c_14166,negated_conjecture,
    ( hskp7
    | sP3_iProver_def
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_14072]) ).

cnf(c_14169,negated_conjecture,
    ( hskp3
    | sP2_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_14074]) ).

cnf(c_14170,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_14043]) ).

cnf(c_14172,negated_conjecture,
    ( hskp8
    | sP3_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_14075]) ).

cnf(c_14178,negated_conjecture,
    ( hskp6
    | sP11_iProver_def
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_14078]) ).

cnf(c_14181,negated_conjecture,
    ( hskp27
    | sP0_iProver_def
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_14079]) ).

cnf(c_14187,negated_conjecture,
    ( hskp10
    | sP4_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_14082]) ).

cnf(c_14188,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP4_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14047]) ).

cnf(c_14193,negated_conjecture,
    ( sP8_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_14085]) ).

cnf(c_14196,negated_conjecture,
    ( hskp12
    | sP7_iProver_def
    | sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_14086]) ).

cnf(c_14197,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP7_iProver_def
    | c1_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14051]) ).

cnf(c_14198,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP10_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14056]) ).

cnf(c_14199,negated_conjecture,
    ( hskp27
    | sP22_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_14088]) ).

cnf(c_14201,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP22_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14081]) ).

cnf(c_14202,negated_conjecture,
    ( hskp2
    | sP20_iProver_def
    | sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_14090]) ).

cnf(c_14204,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP20_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14073]) ).

cnf(c_14205,negated_conjecture,
    ( hskp5
    | sP5_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_14091]) ).

cnf(c_14208,negated_conjecture,
    ( hskp1
    | sP15_iProver_def
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_14092]) ).

cnf(c_14215,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP5_iProver_def
    | c1_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14048]) ).

cnf(c_14217,negated_conjecture,
    ( hskp25
    | hskp23
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_14095]) ).

cnf(c_14218,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_14045]) ).

cnf(c_14223,negated_conjecture,
    ( hskp20
    | hskp12
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_14099]) ).

cnf(c_14226,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP8_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14052]) ).

cnf(c_14229,negated_conjecture,
    ( hskp24
    | hskp2
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_14102]) ).

cnf(c_14230,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP17_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14066]) ).

cnf(c_14231,negated_conjecture,
    ( hskp23
    | hskp5
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_14103]) ).

cnf(c_14235,negated_conjecture,
    ( hskp21
    | hskp11
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_14105]) ).

cnf(c_14236,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP23_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14083]) ).

cnf(c_14237,negated_conjecture,
    ( hskp17
    | hskp19
    | sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_14106]) ).

cnf(c_14239,negated_conjecture,
    ( hskp17
    | hskp7
    | sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_14107]) ).

cnf(c_14240,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14041]) ).

cnf(c_14241,negated_conjecture,
    ( hskp18
    | hskp4
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_14109]) ).

cnf(c_14243,negated_conjecture,
    ( hskp17
    | hskp28
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_14110]) ).

cnf(c_14244,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP27_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14108]) ).

cnf(c_14247,negated_conjecture,
    ( hskp14
    | hskp4
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_14112]) ).

cnf(c_14248,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP21_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14076]) ).

cnf(c_14250,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP25_iProver_def
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14089]) ).

cnf(c_14251,negated_conjecture,
    ( hskp20
    | hskp5
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_14114]) ).

cnf(c_14254,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP18_iProver_def
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14068]) ).

cnf(c_14256,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP24_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14087]) ).

cnf(c_14257,negated_conjecture,
    ( hskp3
    | hskp6
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_14118]) ).

cnf(c_14258,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP28_iProver_def
    | c0_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14117]) ).

cnf(c_14259,negated_conjecture,
    ( hskp12
    | hskp13
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_14119]) ).

cnf(c_14260,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP11_iProver_def
    | c0_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14057]) ).

cnf(c_14261,negated_conjecture,
    ( hskp2
    | hskp6
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_14120]) ).

cnf(c_14262,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP16_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14064]) ).

cnf(c_14265,negated_conjecture,
    ( hskp0
    | hskp2
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_14122]) ).

cnf(c_14266,negated_conjecture,
    ( ~ sP15_iProver_def
    | c1_1(X0)
    | c0_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14063]) ).

cnf(c_14396,plain,
    ( ~ c2_1(a695)
    | ~ c1_1(a695)
    | ~ sP1_iProver_def
    | c0_1(a695) ),
    inference(instantiation,[status(thm)],[c_14146]) ).

cnf(c_14397,plain,
    ( ~ c2_1(a686)
    | ~ c1_1(a686)
    | ~ sP1_iProver_def
    | c0_1(a686) ),
    inference(instantiation,[status(thm)],[c_14146]) ).

cnf(c_14398,plain,
    ( ~ c2_1(a675)
    | ~ c1_1(a675)
    | ~ sP1_iProver_def
    | c0_1(a675) ),
    inference(instantiation,[status(thm)],[c_14146]) ).

cnf(c_14402,plain,
    ( ~ c2_1(a643)
    | ~ c1_1(a643)
    | ~ sP1_iProver_def
    | c0_1(a643) ),
    inference(instantiation,[status(thm)],[c_14146]) ).

cnf(c_14408,plain,
    ( ~ c1_1(a652)
    | ~ c0_1(a652)
    | ~ sP4_iProver_def
    | c2_1(a652) ),
    inference(instantiation,[status(thm)],[c_14188]) ).

cnf(c_14422,plain,
    ( ~ c2_1(a657)
    | ~ c0_1(a657)
    | ~ sP8_iProver_def
    | c3_1(a657) ),
    inference(instantiation,[status(thm)],[c_14226]) ).

cnf(c_14434,plain,
    ( ~ c2_1(a665)
    | ~ c3_1(a665)
    | ~ sP0_iProver_def
    | c1_1(a665) ),
    inference(instantiation,[status(thm)],[c_14240]) ).

cnf(c_14438,plain,
    ( ~ c2_1(a641)
    | ~ c3_1(a641)
    | ~ sP0_iProver_def
    | c1_1(a641) ),
    inference(instantiation,[status(thm)],[c_14240]) ).

cnf(c_14439,plain,
    ( ~ c1_1(a695)
    | ~ sP11_iProver_def
    | c0_1(a695)
    | c3_1(a695) ),
    inference(instantiation,[status(thm)],[c_14260]) ).

cnf(c_14440,plain,
    ( ~ c1_1(a686)
    | ~ sP11_iProver_def
    | c0_1(a686)
    | c3_1(a686) ),
    inference(instantiation,[status(thm)],[c_14260]) ).

cnf(c_14445,plain,
    ( ~ c1_1(a647)
    | ~ sP11_iProver_def
    | c0_1(a647)
    | c3_1(a647) ),
    inference(instantiation,[status(thm)],[c_14260]) ).

cnf(c_14453,plain,
    ( ~ c0_1(a652)
    | ~ sP10_iProver_def
    | c2_1(a652)
    | c1_1(a652) ),
    inference(instantiation,[status(thm)],[c_14198]) ).

cnf(c_14455,plain,
    ( ~ c0_1(a642)
    | ~ sP10_iProver_def
    | c2_1(a642)
    | c1_1(a642) ),
    inference(instantiation,[status(thm)],[c_14198]) ).

cnf(c_14465,plain,
    ( ~ c2_1(a695)
    | ~ sP5_iProver_def
    | c1_1(a695)
    | c3_1(a695) ),
    inference(instantiation,[status(thm)],[c_14215]) ).

cnf(c_14467,plain,
    ( ~ c2_1(a675)
    | ~ sP5_iProver_def
    | c1_1(a675)
    | c3_1(a675) ),
    inference(instantiation,[status(thm)],[c_14215]) ).

cnf(c_14475,plain,
    ( ~ c1_1(a676)
    | ~ c0_1(a676)
    | ~ sP4_iProver_def
    | c2_1(a676) ),
    inference(instantiation,[status(thm)],[c_14188]) ).

cnf(c_14476,plain,
    ( ~ c2_1(a655)
    | ~ c0_1(a655)
    | ~ sP6_iProver_def
    | c1_1(a655) ),
    inference(instantiation,[status(thm)],[c_14140]) ).

cnf(c_14479,plain,
    ( ~ c2_1(a656)
    | ~ c0_1(a656)
    | ~ sP6_iProver_def
    | c1_1(a656) ),
    inference(instantiation,[status(thm)],[c_14140]) ).

cnf(c_14482,plain,
    ( ~ c2_1(a642)
    | ~ c0_1(a642)
    | ~ sP6_iProver_def
    | c1_1(a642) ),
    inference(instantiation,[status(thm)],[c_14140]) ).

cnf(c_14484,plain,
    ( ~ c0_1(a676)
    | ~ sP18_iProver_def
    | c2_1(a676)
    | c3_1(a676) ),
    inference(instantiation,[status(thm)],[c_14254]) ).

cnf(c_14488,plain,
    ( ~ c0_1(a648)
    | ~ sP18_iProver_def
    | c2_1(a648)
    | c3_1(a648) ),
    inference(instantiation,[status(thm)],[c_14254]) ).

cnf(c_14505,plain,
    ( ~ c0_1(a682)
    | ~ sP10_iProver_def
    | c2_1(a682)
    | c1_1(a682) ),
    inference(instantiation,[status(thm)],[c_14198]) ).

cnf(c_14515,plain,
    ( ~ c2_1(a671)
    | ~ c1_1(a671)
    | ~ c3_1(a671)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_14170]) ).

cnf(c_14516,plain,
    ( ~ c2_1(a655)
    | ~ c1_1(a655)
    | ~ c3_1(a655)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_14170]) ).

cnf(c_14523,plain,
    ( ~ c2_1(a643)
    | ~ c1_1(a643)
    | ~ c3_1(a643)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_14170]) ).

cnf(c_14535,plain,
    ( ~ c2_1(a655)
    | ~ c1_1(a655)
    | ~ c0_1(a655)
    | ~ sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_14218]) ).

cnf(c_14537,plain,
    ( ~ c2_1(a686)
    | ~ c1_1(a686)
    | ~ c0_1(a686)
    | ~ sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_14218]) ).

cnf(c_14545,plain,
    ( ~ c2_1(a686)
    | ~ c0_1(a686)
    | ~ sP8_iProver_def
    | c3_1(a686) ),
    inference(instantiation,[status(thm)],[c_14226]) ).

cnf(c_14550,plain,
    ( ~ sP15_iProver_def
    | c1_1(a691)
    | c0_1(a691)
    | c3_1(a691) ),
    inference(instantiation,[status(thm)],[c_14266]) ).

cnf(c_14555,plain,
    ( ~ sP15_iProver_def
    | c1_1(a646)
    | c0_1(a646)
    | c3_1(a646) ),
    inference(instantiation,[status(thm)],[c_14266]) ).

cnf(c_14556,plain,
    ( ~ c0_1(a661)
    | ~ sP10_iProver_def
    | c2_1(a661)
    | c1_1(a661) ),
    inference(instantiation,[status(thm)],[c_14198]) ).

cnf(c_14559,plain,
    ( ~ c2_1(a661)
    | ~ c0_1(a661)
    | ~ sP8_iProver_def
    | c3_1(a661) ),
    inference(instantiation,[status(thm)],[c_14226]) ).

cnf(c_14577,plain,
    ( ~ c2_1(a642)
    | ~ c3_1(a642)
    | ~ sP0_iProver_def
    | c1_1(a642) ),
    inference(instantiation,[status(thm)],[c_14240]) ).

cnf(c_14599,plain,
    ( ~ c0_1(a660)
    | ~ sP10_iProver_def
    | c2_1(a660)
    | c1_1(a660) ),
    inference(instantiation,[status(thm)],[c_14198]) ).

cnf(c_14609,plain,
    ( ~ c1_1(a676)
    | ~ c3_1(a676)
    | ~ sP17_iProver_def
    | c2_1(a676) ),
    inference(instantiation,[status(thm)],[c_14230]) ).

cnf(c_14614,plain,
    ( ~ c1_1(a645)
    | ~ c3_1(a645)
    | ~ sP17_iProver_def
    | c2_1(a645) ),
    inference(instantiation,[status(thm)],[c_14230]) ).

cnf(c_14616,plain,
    ( ~ c1_1(a652)
    | ~ c3_1(a652)
    | ~ sP17_iProver_def
    | c2_1(a652) ),
    inference(instantiation,[status(thm)],[c_14230]) ).

cnf(c_14622,plain,
    ( ~ c0_1(a676)
    | ~ c3_1(a676)
    | ~ sP23_iProver_def
    | c2_1(a676) ),
    inference(instantiation,[status(thm)],[c_14236]) ).

cnf(c_14623,plain,
    ( ~ c0_1(a660)
    | ~ c3_1(a660)
    | ~ sP23_iProver_def
    | c2_1(a660) ),
    inference(instantiation,[status(thm)],[c_14236]) ).

cnf(c_14626,plain,
    ( ~ c0_1(a652)
    | ~ c3_1(a652)
    | ~ sP23_iProver_def
    | c2_1(a652) ),
    inference(instantiation,[status(thm)],[c_14236]) ).

cnf(c_14627,plain,
    ( ~ c0_1(a642)
    | ~ c3_1(a642)
    | ~ sP23_iProver_def
    | c2_1(a642) ),
    inference(instantiation,[status(thm)],[c_14236]) ).

cnf(c_14632,plain,
    ( ~ c0_1(a642)
    | ~ c3_1(a642)
    | ~ sP27_iProver_def
    | c1_1(a642) ),
    inference(instantiation,[status(thm)],[c_14244]) ).

cnf(c_14633,plain,
    ( ~ c3_1(a682)
    | ~ sP24_iProver_def
    | c2_1(a682)
    | c1_1(a682) ),
    inference(instantiation,[status(thm)],[c_14256]) ).

cnf(c_14656,plain,
    ( ~ c2_1(a643)
    | ~ sP28_iProver_def
    | c0_1(a643)
    | c3_1(a643) ),
    inference(instantiation,[status(thm)],[c_14258]) ).

cnf(c_14663,plain,
    ( ~ c1_1(a643)
    | ~ sP11_iProver_def
    | c0_1(a643)
    | c3_1(a643) ),
    inference(instantiation,[status(thm)],[c_14260]) ).

cnf(c_14675,plain,
    ( ~ c2_1(a671)
    | ~ c0_1(a671)
    | ~ sP8_iProver_def
    | c3_1(a671) ),
    inference(instantiation,[status(thm)],[c_14226]) ).

cnf(c_14682,plain,
    ( ~ c1_1(a676)
    | ~ sP25_iProver_def
    | c2_1(a676)
    | c3_1(a676) ),
    inference(instantiation,[status(thm)],[c_14250]) ).

cnf(c_14725,plain,
    ( ~ c3_1(a682)
    | ~ sP22_iProver_def
    | c2_1(a682)
    | c0_1(a682) ),
    inference(instantiation,[status(thm)],[c_14201]) ).

cnf(c_14729,plain,
    ( ~ c3_1(a682)
    | ~ sP20_iProver_def
    | c1_1(a682)
    | c0_1(a682) ),
    inference(instantiation,[status(thm)],[c_14204]) ).

cnf(c_14731,plain,
    ( ~ c3_1(a665)
    | ~ sP20_iProver_def
    | c1_1(a665)
    | c0_1(a665) ),
    inference(instantiation,[status(thm)],[c_14204]) ).

cnf(c_14734,plain,
    ( ~ c3_1(a651)
    | ~ sP20_iProver_def
    | c1_1(a651)
    | c0_1(a651) ),
    inference(instantiation,[status(thm)],[c_14204]) ).

cnf(c_14761,plain,
    ( ~ c2_1(a665)
    | ~ sP28_iProver_def
    | c0_1(a665)
    | c3_1(a665) ),
    inference(instantiation,[status(thm)],[c_14258]) ).

cnf(c_14764,plain,
    ( ~ sP15_iProver_def
    | c1_1(a665)
    | c0_1(a665)
    | c3_1(a665) ),
    inference(instantiation,[status(thm)],[c_14266]) ).

cnf(c_14767,plain,
    ( ~ c2_1(a665)
    | ~ sP5_iProver_def
    | c1_1(a665)
    | c3_1(a665) ),
    inference(instantiation,[status(thm)],[c_14215]) ).

cnf(c_14792,plain,
    ( ~ c1_1(a698)
    | ~ c3_1(a698)
    | ~ sP17_iProver_def
    | c2_1(a698) ),
    inference(instantiation,[status(thm)],[c_14230]) ).

cnf(c_14810,plain,
    ( ~ c1_1(a710)
    | ~ sP25_iProver_def
    | c2_1(a710)
    | c3_1(a710) ),
    inference(instantiation,[status(thm)],[c_14250]) ).

cnf(c_14812,plain,
    ( ~ sP15_iProver_def
    | c1_1(a710)
    | c0_1(a710)
    | c3_1(a710) ),
    inference(instantiation,[status(thm)],[c_14266]) ).

cnf(c_14825,plain,
    ( ~ c0_1(a682)
    | ~ c3_1(a682)
    | ~ sP27_iProver_def
    | c1_1(a682) ),
    inference(instantiation,[status(thm)],[c_14244]) ).

cnf(c_14828,plain,
    ( ~ c0_1(a660)
    | ~ c3_1(a660)
    | ~ sP27_iProver_def
    | c1_1(a660) ),
    inference(instantiation,[status(thm)],[c_14244]) ).

cnf(c_14845,plain,
    ( ~ c2_1(a643)
    | ~ c3_1(a643)
    | ~ sP21_iProver_def
    | c0_1(a643) ),
    inference(instantiation,[status(thm)],[c_14248]) ).

cnf(c_14862,plain,
    ( ~ c2_1(a695)
    | ~ sP28_iProver_def
    | c0_1(a695)
    | c3_1(a695) ),
    inference(instantiation,[status(thm)],[c_14258]) ).

cnf(c_14888,plain,
    ( ~ c2_1(a675)
    | ~ sP16_iProver_def
    | c1_1(a675)
    | c0_1(a675) ),
    inference(instantiation,[status(thm)],[c_14262]) ).

cnf(c_14889,plain,
    ( ~ c2_1(a665)
    | ~ sP16_iProver_def
    | c1_1(a665)
    | c0_1(a665) ),
    inference(instantiation,[status(thm)],[c_14262]) ).

cnf(c_14893,plain,
    ( ~ c2_1(a695)
    | ~ sP16_iProver_def
    | c1_1(a695)
    | c0_1(a695) ),
    inference(instantiation,[status(thm)],[c_14262]) ).

cnf(c_14920,plain,
    ( ~ c2_1(a693)
    | ~ c3_1(a693)
    | ~ sP21_iProver_def
    | c0_1(a693) ),
    inference(instantiation,[status(thm)],[c_14248]) ).

cnf(c_14928,plain,
    ( ~ c0_1(a660)
    | ~ sP18_iProver_def
    | c2_1(a660)
    | c3_1(a660) ),
    inference(instantiation,[status(thm)],[c_14254]) ).

cnf(c_14939,plain,
    ( ~ c0_1(a675)
    | ~ sP7_iProver_def
    | c1_1(a675)
    | c3_1(a675) ),
    inference(instantiation,[status(thm)],[c_14197]) ).

cnf(c_14941,plain,
    ( ~ c2_1(a675)
    | ~ sP28_iProver_def
    | c0_1(a675)
    | c3_1(a675) ),
    inference(instantiation,[status(thm)],[c_14258]) ).

cnf(c_14944,plain,
    ( ~ sP15_iProver_def
    | c1_1(a675)
    | c0_1(a675)
    | c3_1(a675) ),
    inference(instantiation,[status(thm)],[c_14266]) ).

cnf(c_14945,plain,
    ( ~ c2_1(a675)
    | ~ c0_1(a675)
    | ~ sP8_iProver_def
    | c3_1(a675) ),
    inference(instantiation,[status(thm)],[c_14226]) ).

cnf(c_14988,plain,
    ( ~ c0_1(a646)
    | ~ sP18_iProver_def
    | c2_1(a646)
    | c3_1(a646) ),
    inference(instantiation,[status(thm)],[c_14254]) ).

cnf(c_15028,plain,
    ( ~ c1_1(a698)
    | ~ sP25_iProver_def
    | c2_1(a698)
    | c3_1(a698) ),
    inference(instantiation,[status(thm)],[c_14250]) ).

cnf(c_15034,plain,
    ( ~ c1_1(a698)
    | ~ sP11_iProver_def
    | c0_1(a698)
    | c3_1(a698) ),
    inference(instantiation,[status(thm)],[c_14260]) ).

cnf(c_15111,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15028,c_15034,c_14988,c_14939,c_14941,c_14944,c_14945,c_14928,c_14920,c_14893,c_14889,c_14888,c_14862,c_14845,c_14828,c_14825,c_14810,c_14812,c_14792,c_14761,c_14764,c_14767,c_14734,c_14731,c_14729,c_14725,c_14682,c_14675,c_14656,c_14663,c_14633,c_14632,c_14627,c_14626,c_14623,c_14622,c_14616,c_14614,c_14609,c_14599,c_14577,c_14559,c_14556,c_14555,c_14550,c_14545,c_14537,c_14535,c_14523,c_14516,c_14515,c_14505,c_14488,c_14484,c_14482,c_14479,c_14476,c_14475,c_14467,c_14465,c_14455,c_14453,c_14445,c_14440,c_14439,c_14438,c_14434,c_14422,c_14408,c_14402,c_14398,c_14397,c_14396,c_14265,c_14261,c_14259,c_14257,c_14251,c_14247,c_14243,c_14241,c_14239,c_14237,c_14235,c_14231,c_14229,c_14223,c_14217,c_14208,c_14205,c_14202,c_14199,c_14196,c_14187,c_14181,c_14178,c_14172,c_14169,c_14166,c_14160,c_14153,c_14145,c_14137,c_14133,c_14129,c_14125,c_14193,c_5336,c_5326,c_5316,c_5090,c_5080,c_5070,c_5060,c_5050,c_5040,c_4313,c_4303,c_2480,c_2460,c_1937,c_1927,c_1917,c_125,c_126,c_127,c_129,c_130,c_133,c_134,c_141,c_142,c_143,c_145,c_149,c_150,c_153,c_157,c_158,c_169,c_170,c_173,c_174,c_177,c_178,c_181,c_185,c_193,c_197,c_198,c_201,c_202,c_205,c_206,c_209,c_210,c_211,c_213,c_217,c_221,c_225,c_113,c_114,c_115,c_117,c_118,c_119,c_131,c_135,c_146,c_147,c_151,c_154,c_155,c_159,c_171,c_175,c_179,c_182,c_183,c_186,c_187,c_194,c_195,c_199,c_203,c_207,c_214,c_215,c_218,c_219,c_222,c_223,c_226,c_227,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SYN450+1 : TPTP v8.1.2. Released v2.1.0.
% 0.06/0.14  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 20:44:14 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.17/0.46  Running first-order theorem proving
% 0.17/0.46  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
% 4.04/1.17  % SZS status Started for theBenchmark.p
% 4.04/1.17  % SZS status Theorem for theBenchmark.p
% 4.04/1.17  
% 4.04/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.04/1.17  
% 4.04/1.17  ------  iProver source info
% 4.04/1.17  
% 4.04/1.17  git: date: 2024-05-02 19:28:25 +0000
% 4.04/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.04/1.17  git: non_committed_changes: false
% 4.04/1.17  
% 4.04/1.17  ------ Parsing...
% 4.04/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 4.04/1.17  
% 4.04/1.17  
% 4.04/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.04/1.17  
% 4.04/1.17  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 4.04/1.17   gs_s  sp: 90 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.04/1.17  ------ Proving...
% 4.04/1.17  ------ Problem Properties 
% 4.04/1.17  
% 4.04/1.17  
% 4.04/1.17  clauses                                 180
% 4.04/1.17  conjectures                             180
% 4.04/1.17  EPR                                     180
% 4.04/1.17  Horn                                    105
% 4.04/1.17  unary                                   0
% 4.04/1.17  binary                                  91
% 4.04/1.17  lits                                    479
% 4.04/1.17  lits eq                                 0
% 4.04/1.17  fd_pure                                 0
% 4.04/1.17  fd_pseudo                               0
% 4.04/1.17  fd_cond                                 0
% 4.04/1.17  fd_pseudo_cond                          0
% 4.04/1.17  AC symbols                              0
% 4.04/1.17  
% 4.04/1.17  ------ Schedule EPR non Horn non eq is on
% 4.04/1.17  
% 4.04/1.17  ------ no equalities: superposition off 
% 4.04/1.17  
% 4.04/1.17  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.04/1.17  
% 4.04/1.17  
% 4.04/1.17  ------ 
% 4.04/1.17  Current options:
% 4.04/1.17  ------ 
% 4.04/1.17  
% 4.04/1.17  
% 4.04/1.17  
% 4.04/1.17  
% 4.04/1.17  ------ Proving...
% 4.04/1.17  
% 4.04/1.17  
% 4.04/1.17  % SZS status Theorem for theBenchmark.p
% 4.04/1.17  
% 4.04/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.04/1.17  
% 4.04/1.17  
%------------------------------------------------------------------------------