TSTP Solution File: SYN436+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN436+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:07:11 EDT 2023

% Result   : Theorem 3.38s 1.15s
% Output   : CNFRefutation 3.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f169)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp0
        | hskp23
        | hskp24 )
      & ( hskp13
        | hskp9
        | hskp7 )
      & ( hskp4
        | hskp8
        | hskp17 )
      & ( hskp22
        | hskp26
        | hskp6 )
      & ( hskp21
        | hskp17
        | hskp25 )
      & ( hskp10
        | hskp6
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | ~ c0_1(X62) ) ) )
      & ( hskp20
        | hskp26
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c0_1(X61)
              | c3_1(X61) ) ) )
      & ( hskp24
        | hskp9
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c1_1(X60)
              | c2_1(X60) ) ) )
      & ( hskp19
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c1_1(X59)
              | ~ c0_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c2_1(X58) ) ) )
      & ( hskp18
        | hskp17
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c0_1(X57)
              | c2_1(X57) ) ) )
      & ( hskp16
        | hskp26
        | ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | c3_1(X56)
              | c2_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | c3_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c3_1(X53)
              | c2_1(X53) ) ) )
      & ( hskp7
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c1_1(X52) ) ) )
      & ( hskp26
        | hskp6
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | c3_1(X51)
              | c1_1(X51) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | ~ c0_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c1_1(X49) ) ) )
      & ( hskp15
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c0_1(X48)
              | c2_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c1_1(X47) ) ) )
      & ( hskp14
        | hskp2
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) ) )
      & ( hskp13
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c0_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c2_1(X44)
              | c1_1(X44) ) ) )
      & ( hskp12
        | hskp27
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp11
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c0_1(X42)
              | c3_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp10
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp4
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | c3_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c1_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp9
        | hskp8
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c1_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp7
        | hskp27
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c1_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp26
        | hskp27
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp26
        | hskp25
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | ~ c1_1(X32)
              | ~ c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c3_1(X31)
              | c2_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c3_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp5
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c1_1(X27)
              | c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c1_1(X25)
              | c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c0_1(X24)
              | c3_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | c3_1(X21)
              | c0_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp4
        | ! [X19] :
            ( ndr1_0
           => ( ~ c0_1(X19)
              | c2_1(X19)
              | c1_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp3
        | hskp2
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | c3_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c0_1(X15)
              | c3_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c1_1(X12)
              | c3_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp24
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | ~ c0_1(X10)
              | c3_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp1
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c2_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | ~ c1_1(X6)
              | c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | c2_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a11)
          & c1_1(a11)
          & c0_1(a11)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a10)
          & c2_1(a10)
          & c0_1(a10)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( c2_1(a9)
          & c1_1(a9)
          & c0_1(a9)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( c3_1(a3)
          & c2_1(a3)
          & c1_1(a3)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a53)
          & ~ c0_1(a53)
          & c3_1(a53)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a45)
          & ~ c1_1(a45)
          & c0_1(a45)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a42)
          & c3_1(a42)
          & c2_1(a42)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a37)
          & ~ c0_1(a37)
          & c1_1(a37)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a33)
          & c3_1(a33)
          & c2_1(a33)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a32)
          & ~ c1_1(a32)
          & ~ c0_1(a32)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a31)
          & c2_1(a31)
          & c0_1(a31)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a30)
          & ~ c0_1(a30)
          & c1_1(a30)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a25)
          & c1_1(a25)
          & c0_1(a25)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a24)
          & ~ c0_1(a24)
          & c2_1(a24)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a22)
          & ~ c2_1(a22)
          & ~ c0_1(a22)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a21)
          & ~ c1_1(a21)
          & ~ c0_1(a21)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a19)
          & ~ c1_1(a19)
          & c2_1(a19)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a18)
          & c2_1(a18)
          & c0_1(a18)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a16)
          & ~ c2_1(a16)
          & c0_1(a16)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a15)
          & ~ c1_1(a15)
          & c0_1(a15)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a14)
          & c3_1(a14)
          & c0_1(a14)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a8)
          & c1_1(a8)
          & c0_1(a8)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a7)
          & c3_1(a7)
          & c1_1(a7)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a6)
          & c3_1(a6)
          & c1_1(a6)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a5)
          & ~ c2_1(a5)
          & ~ c1_1(a5)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a4)
          & ~ c2_1(a4)
          & c1_1(a4)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2)
          & ~ c0_1(a2)
          & c2_1(a2)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1)
          & ~ c0_1(a1)
          & c3_1(a1)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp0
          | hskp23
          | hskp24 )
        & ( hskp13
          | hskp9
          | hskp7 )
        & ( hskp4
          | hskp8
          | hskp17 )
        & ( hskp22
          | hskp26
          | hskp6 )
        & ( hskp21
          | hskp17
          | hskp25 )
        & ( hskp10
          | hskp6
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | ~ c0_1(X62) ) ) )
        & ( hskp20
          | hskp26
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) ) )
        & ( hskp24
          | hskp9
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | c2_1(X60) ) ) )
        & ( hskp19
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c2_1(X58) ) ) )
        & ( hskp18
          | hskp17
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c0_1(X57)
                | c2_1(X57) ) ) )
        & ( hskp16
          | hskp26
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c3_1(X56)
                | c2_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c3_1(X53)
                | c2_1(X53) ) ) )
        & ( hskp7
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp26
          | hskp6
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | ~ c0_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp15
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c0_1(X48)
                | c2_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp14
          | hskp2
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp13
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c0_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp12
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp11
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp10
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp4
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp9
          | hskp8
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c1_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp7
          | hskp27
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp26
          | hskp27
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp26
          | hskp25
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | ~ c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c2_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp5
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c1_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c3_1(X21)
                | c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp4
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c2_1(X19)
                | c1_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp3
          | hskp2
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp24
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp1
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | c2_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a11)
            & c1_1(a11)
            & c0_1(a11)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a10)
            & c2_1(a10)
            & c0_1(a10)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( c2_1(a9)
            & c1_1(a9)
            & c0_1(a9)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( c3_1(a3)
            & c2_1(a3)
            & c1_1(a3)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a53)
            & ~ c0_1(a53)
            & c3_1(a53)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a45)
            & ~ c1_1(a45)
            & c0_1(a45)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a42)
            & c3_1(a42)
            & c2_1(a42)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a37)
            & ~ c0_1(a37)
            & c1_1(a37)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a33)
            & c3_1(a33)
            & c2_1(a33)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a32)
            & ~ c1_1(a32)
            & ~ c0_1(a32)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a31)
            & c2_1(a31)
            & c0_1(a31)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a30)
            & ~ c0_1(a30)
            & c1_1(a30)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a25)
            & c1_1(a25)
            & c0_1(a25)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a24)
            & ~ c0_1(a24)
            & c2_1(a24)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a22)
            & ~ c2_1(a22)
            & ~ c0_1(a22)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a21)
            & ~ c1_1(a21)
            & ~ c0_1(a21)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a19)
            & ~ c1_1(a19)
            & c2_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a18)
            & c2_1(a18)
            & c0_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a16)
            & ~ c2_1(a16)
            & c0_1(a16)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a15)
            & ~ c1_1(a15)
            & c0_1(a15)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a14)
            & c3_1(a14)
            & c0_1(a14)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a8)
            & c1_1(a8)
            & c0_1(a8)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a7)
            & c3_1(a7)
            & c1_1(a7)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a6)
            & c3_1(a6)
            & c1_1(a6)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a5)
            & ~ c2_1(a5)
            & ~ c1_1(a5)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a4)
            & ~ c2_1(a4)
            & c1_1(a4)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2)
            & ~ c0_1(a2)
            & c2_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & ~ c0_1(a1)
            & c3_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp0
          | hskp23
          | hskp24 )
        & ( hskp13
          | hskp9
          | hskp7 )
        & ( hskp4
          | hskp8
          | hskp17 )
        & ( hskp22
          | hskp26
          | hskp6 )
        & ( hskp21
          | hskp17
          | hskp25 )
        & ( hskp10
          | hskp6
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | ~ c1_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp20
          | hskp26
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c0_1(X1)
                | c3_1(X1) ) ) )
        & ( hskp24
          | hskp9
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | c2_1(X2) ) ) )
        & ( hskp19
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c1_1(X4)
                | c2_1(X4) ) ) )
        & ( hskp18
          | hskp17
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c0_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp16
          | hskp26
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c3_1(X6)
                | c2_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c3_1(X8)
                | c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp7
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c3_1(X10)
                | c1_1(X10) ) ) )
        & ( hskp26
          | hskp6
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c3_1(X11)
                | c1_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c2_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c3_1(X13)
                | c1_1(X13) ) ) )
        & ( hskp15
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c2_1(X15)
                | c1_1(X15) ) ) )
        & ( hskp14
          | hskp2
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c2_1(X16)
                | c1_1(X16) ) ) )
        & ( hskp13
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c2_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp12
          | hskp27
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp11
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c0_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp10
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp4
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp9
          | hskp8
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp7
          | hskp27
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp26
          | hskp27
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp26
          | hskp25
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c1_1(X30)
                | ~ c0_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp6
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp5
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp4
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c1_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp3
          | hskp2
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c1_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c3_1(X47)
                | c1_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
             => ( ~ c1_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp24
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp1
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c1_1(X55)
                | c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp0
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | c1_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c2_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | c0_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | c1_1(X62)
                | c0_1(X62) ) ) )
        & ( ( c3_1(a11)
            & c1_1(a11)
            & c0_1(a11)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a10)
            & c2_1(a10)
            & c0_1(a10)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( c2_1(a9)
            & c1_1(a9)
            & c0_1(a9)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( c3_1(a3)
            & c2_1(a3)
            & c1_1(a3)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a53)
            & ~ c0_1(a53)
            & c3_1(a53)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a45)
            & ~ c1_1(a45)
            & c0_1(a45)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a42)
            & c3_1(a42)
            & c2_1(a42)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a37)
            & ~ c0_1(a37)
            & c1_1(a37)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a33)
            & c3_1(a33)
            & c2_1(a33)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a32)
            & ~ c1_1(a32)
            & ~ c0_1(a32)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a31)
            & c2_1(a31)
            & c0_1(a31)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a30)
            & ~ c0_1(a30)
            & c1_1(a30)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a25)
            & c1_1(a25)
            & c0_1(a25)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a24)
            & ~ c0_1(a24)
            & c2_1(a24)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a22)
            & ~ c2_1(a22)
            & ~ c0_1(a22)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a21)
            & ~ c1_1(a21)
            & ~ c0_1(a21)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a19)
            & ~ c1_1(a19)
            & c2_1(a19)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a18)
            & c2_1(a18)
            & c0_1(a18)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a16)
            & ~ c2_1(a16)
            & c0_1(a16)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a15)
            & ~ c1_1(a15)
            & c0_1(a15)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a14)
            & c3_1(a14)
            & c0_1(a14)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a8)
            & c1_1(a8)
            & c0_1(a8)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a7)
            & c3_1(a7)
            & c1_1(a7)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a6)
            & c3_1(a6)
            & c1_1(a6)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a5)
            & ~ c2_1(a5)
            & ~ c1_1(a5)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a4)
            & ~ c2_1(a4)
            & c1_1(a4)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2)
            & ~ c0_1(a2)
            & c2_1(a2)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & ~ c0_1(a1)
            & c3_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp0
      | hskp23
      | hskp24 )
    & ( hskp13
      | hskp9
      | hskp7 )
    & ( hskp4
      | hskp8
      | hskp17 )
    & ( hskp22
      | hskp26
      | hskp6 )
    & ( hskp21
      | hskp17
      | hskp25 )
    & ( hskp10
      | hskp6
      | ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | ~ c1_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp20
      | hskp26
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c0_1(X1)
            | c3_1(X1) ) ) )
    & ( hskp24
      | hskp9
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | c2_1(X2) ) ) )
    & ( hskp19
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c1_1(X4)
            | c2_1(X4) ) ) )
    & ( hskp18
      | hskp17
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c0_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp16
      | hskp26
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | c3_1(X6)
            | c2_1(X6) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c2_1(X7)
            | ~ c0_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | c3_1(X8)
            | c2_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c0_1(X9)
            | c3_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp7
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | c3_1(X10)
            | c1_1(X10) ) ) )
    & ( hskp26
      | hskp6
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c3_1(X11)
            | c1_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c2_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | c3_1(X13)
            | c1_1(X13) ) ) )
    & ( hskp15
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | c2_1(X15)
            | c1_1(X15) ) ) )
    & ( hskp14
      | hskp2
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c2_1(X16)
            | c1_1(X16) ) ) )
    & ( hskp13
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c0_1(X17)
            | c1_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c2_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp12
      | hskp27
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp11
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | ~ c0_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp10
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c1_1(X23)
            | c0_1(X23) ) ) )
    & ( hskp4
      | ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | c3_1(X24)
            | c1_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c1_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp9
      | hskp8
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c1_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp7
      | hskp27
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c1_1(X27)
            | c0_1(X27) ) ) )
    & ( hskp26
      | hskp27
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp26
      | hskp25
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | c3_1(X29)
            | c0_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c1_1(X30)
            | ~ c0_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c3_1(X31)
            | c2_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp6
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c2_1(X33)
            | ~ c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp5
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c1_1(X35)
            | c3_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c1_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | c3_1(X41)
            | c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | c2_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp4
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c1_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp3
      | hskp2
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | c1_1(X45)
            | c0_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | c3_1(X46)
            | c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c3_1(X47)
            | c1_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
         => ( ~ c1_1(X50)
            | c3_1(X50)
            | c0_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c1_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp24
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c0_1(X52)
            | c3_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c1_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp1
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c1_1(X55)
            | c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c3_1(X57)
            | c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp0
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c0_1(X58)
            | c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c2_1(X59)
            | c1_1(X59)
            | c0_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | c2_1(X60)
            | c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | c2_1(X61)
            | c0_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( c2_1(X62)
            | c1_1(X62)
            | c0_1(X62) ) ) )
    & ( ( c3_1(a11)
        & c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a10)
        & c2_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c2_1(a9)
        & c1_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( c3_1(a3)
        & c2_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a53)
        & ~ c0_1(a53)
        & c3_1(a53)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a45)
        & ~ c1_1(a45)
        & c0_1(a45)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a42)
        & c3_1(a42)
        & c2_1(a42)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a37)
        & ~ c0_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a33)
        & c3_1(a33)
        & c2_1(a33)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a32)
        & ~ c1_1(a32)
        & ~ c0_1(a32)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a31)
        & c2_1(a31)
        & c0_1(a31)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a30)
        & ~ c0_1(a30)
        & c1_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a24)
        & ~ c0_1(a24)
        & c2_1(a24)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a22)
        & ~ c2_1(a22)
        & ~ c0_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a21)
        & ~ c1_1(a21)
        & ~ c0_1(a21)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c1_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & c2_1(a18)
        & c0_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & ~ c2_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & c0_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & c3_1(a14)
        & c0_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a8)
        & c1_1(a8)
        & c0_1(a8)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c1_1(a6)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a5)
        & ~ c2_1(a5)
        & ~ c1_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a4)
        & ~ c2_1(a4)
        & c1_1(a4)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c0_1(a2)
        & c2_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c0_1(a1)
        & c3_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp0
      | hskp23
      | hskp24 )
    & ( hskp13
      | hskp9
      | hskp7 )
    & ( hskp4
      | hskp8
      | hskp17 )
    & ( hskp22
      | hskp26
      | hskp6 )
    & ( hskp21
      | hskp17
      | hskp25 )
    & ( hskp10
      | hskp6
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp26
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c0_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp9
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp26
      | ! [X6] :
          ( ~ c0_1(X6)
          | c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X10] :
          ( ~ c2_1(X10)
          | c3_1(X10)
          | c1_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp6
      | ! [X11] :
          ( ~ c2_1(X11)
          | c3_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c2_1(X13)
          | c3_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | c2_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp2
      | ! [X16] :
          ( ~ c0_1(X16)
          | c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp27
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c0_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c1_1(X23)
          | c0_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X24] :
          ( ~ c0_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | c0_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c1_1(X26)
          | c0_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp27
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c1_1(X27)
          | c0_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp27
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp25
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c0_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c1_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c0_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c1_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c3_1(X37)
          | ~ c1_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c2_1(X41)
          | c3_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | c1_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X45] :
          ( ~ c2_1(X45)
          | c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c1_1(X46)
          | c3_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c3_1(X47)
          | c1_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] :
          ( ~ c1_1(X50)
          | c3_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a11)
        & c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a10)
        & c2_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c2_1(a9)
        & c1_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( c3_1(a3)
        & c2_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a53)
        & ~ c0_1(a53)
        & c3_1(a53)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a45)
        & ~ c1_1(a45)
        & c0_1(a45)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a42)
        & c3_1(a42)
        & c2_1(a42)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a37)
        & ~ c0_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a33)
        & c3_1(a33)
        & c2_1(a33)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a32)
        & ~ c1_1(a32)
        & ~ c0_1(a32)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a31)
        & c2_1(a31)
        & c0_1(a31)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a30)
        & ~ c0_1(a30)
        & c1_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a24)
        & ~ c0_1(a24)
        & c2_1(a24)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a22)
        & ~ c2_1(a22)
        & ~ c0_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a21)
        & ~ c1_1(a21)
        & ~ c0_1(a21)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c1_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & c2_1(a18)
        & c0_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & ~ c2_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & c0_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & c3_1(a14)
        & c0_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a8)
        & c1_1(a8)
        & c0_1(a8)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c1_1(a6)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a5)
        & ~ c2_1(a5)
        & ~ c1_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a4)
        & ~ c2_1(a4)
        & c1_1(a4)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c0_1(a2)
        & c2_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c0_1(a1)
        & c3_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp0
      | hskp23
      | hskp24 )
    & ( hskp13
      | hskp9
      | hskp7 )
    & ( hskp4
      | hskp8
      | hskp17 )
    & ( hskp22
      | hskp26
      | hskp6 )
    & ( hskp21
      | hskp17
      | hskp25 )
    & ( hskp10
      | hskp6
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp26
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c0_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp9
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | c2_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c1_1(X4)
          | c2_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp17
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp26
      | ! [X6] :
          ( ~ c0_1(X6)
          | c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c3_1(X7)
          | ~ c2_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | c3_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X10] :
          ( ~ c2_1(X10)
          | c3_1(X10)
          | c1_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp6
      | ! [X11] :
          ( ~ c2_1(X11)
          | c3_1(X11)
          | c1_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( ~ c3_1(X12)
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c2_1(X13)
          | c3_1(X13)
          | c1_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c3_1(X15)
          | c2_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp2
      | ! [X16] :
          ( ~ c0_1(X16)
          | c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp27
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c0_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X20] :
          ( ~ c2_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c0_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c1_1(X23)
          | c0_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X24] :
          ( ~ c0_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c1_1(X25)
          | c0_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c1_1(X26)
          | c0_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp27
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c1_1(X27)
          | c0_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp27
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp25
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c0_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c1_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c0_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c1_1(X35)
          | c3_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c3_1(X37)
          | ~ c1_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c2_1(X41)
          | c3_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c2_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X43] :
          ( ~ c0_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | c1_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X45] :
          ( ~ c2_1(X45)
          | c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c1_1(X46)
          | c3_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c3_1(X47)
          | c1_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] :
          ( ~ c1_1(X50)
          | c3_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( c3_1(X53)
          | c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c3_1(X57)
          | c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c0_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c2_1(X59)
          | c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c3_1(X60)
          | c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( c3_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( c2_1(X62)
          | c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a11)
        & c1_1(a11)
        & c0_1(a11)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a10)
        & c2_1(a10)
        & c0_1(a10)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c2_1(a9)
        & c1_1(a9)
        & c0_1(a9)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( c3_1(a3)
        & c2_1(a3)
        & c1_1(a3)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a53)
        & ~ c0_1(a53)
        & c3_1(a53)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a45)
        & ~ c1_1(a45)
        & c0_1(a45)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a42)
        & c3_1(a42)
        & c2_1(a42)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a37)
        & ~ c0_1(a37)
        & c1_1(a37)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a33)
        & c3_1(a33)
        & c2_1(a33)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a32)
        & ~ c1_1(a32)
        & ~ c0_1(a32)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a31)
        & c2_1(a31)
        & c0_1(a31)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a30)
        & ~ c0_1(a30)
        & c1_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a25)
        & c1_1(a25)
        & c0_1(a25)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a24)
        & ~ c0_1(a24)
        & c2_1(a24)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a22)
        & ~ c2_1(a22)
        & ~ c0_1(a22)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a21)
        & ~ c1_1(a21)
        & ~ c0_1(a21)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a19)
        & ~ c1_1(a19)
        & c2_1(a19)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a18)
        & c2_1(a18)
        & c0_1(a18)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a16)
        & ~ c2_1(a16)
        & c0_1(a16)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a15)
        & ~ c1_1(a15)
        & c0_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a14)
        & c3_1(a14)
        & c0_1(a14)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a8)
        & c1_1(a8)
        & c0_1(a8)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c1_1(a6)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a5)
        & ~ c2_1(a5)
        & ~ c1_1(a5)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a4)
        & ~ c2_1(a4)
        & c1_1(a4)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2)
        & ~ c0_1(a2)
        & c2_1(a2)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c0_1(a1)
        & c3_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( ~ c0_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( ~ c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c3_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c1_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c2_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c3_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( ~ c1_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( ~ c2_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c3_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c1_1(a6)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( c3_1(a6)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c2_1(a6)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c1_1(a7)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( c3_1(a7)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c0_1(a7)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f32,plain,
    ( c0_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( c1_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c2_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c0_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( c3_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c2_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( c0_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( ~ c1_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c2_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c0_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( ~ c2_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c3_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c0_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( c2_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( ~ c1_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c3_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( ~ c0_1(a21)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( ~ c1_1(a21)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c2_1(a21)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( ~ c2_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c3_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c2_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( ~ c0_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c1_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c0_1(a25)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( c1_1(a25)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c3_1(a25)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( c1_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( ~ c0_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c0_1(a31)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( c2_1(a31)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c1_1(a31)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f80,plain,
    ( ~ c0_1(a32)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f81,plain,
    ( ~ c1_1(a32)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f82,plain,
    ( ~ c3_1(a32)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c2_1(a33)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( c3_1(a33)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c0_1(a33)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( c1_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( ~ c0_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c3_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( c2_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( c3_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c1_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f95,plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f100,plain,
    ( c3_1(a53)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f101,plain,
    ( ~ c0_1(a53)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f102,plain,
    ( ~ c1_1(a53)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c1_1(a3)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( c2_1(a3)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( c3_1(a3)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f108,plain,
    ( c0_1(a9)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f109,plain,
    ( c1_1(a9)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f110,plain,
    ( c2_1(a9)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f111,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f112,plain,
    ( c0_1(a10)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( c2_1(a10)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( c3_1(a10)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c0_1(a11)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ( c1_1(a11)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( c3_1(a11)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f126,plain,
    ! [X45] :
      ( hskp3
      | hskp2
      | ~ c2_1(X45)
      | c1_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f133,plain,
    ! [X29] :
      ( hskp26
      | hskp25
      | ~ c2_1(X29)
      | c3_1(X29)
      | c0_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f134,plain,
    ! [X28] :
      ( hskp26
      | hskp27
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | c0_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f136,plain,
    ! [X26] :
      ( hskp9
      | hskp8
      | ~ c2_1(X26)
      | ~ c1_1(X26)
      | c0_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f140,plain,
    ! [X19] :
      ( hskp12
      | hskp27
      | ~ c3_1(X19)
      | ~ c2_1(X19)
      | c0_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f142,plain,
    ! [X16] :
      ( hskp14
      | hskp2
      | ~ c0_1(X16)
      | c2_1(X16)
      | c1_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f146,plain,
    ! [X10] :
      ( hskp7
      | ~ c2_1(X10)
      | c3_1(X10)
      | c1_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f148,plain,
    ! [X6] :
      ( hskp16
      | hskp26
      | ~ c0_1(X6)
      | c3_1(X6)
      | c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f149,plain,
    ! [X5] :
      ( hskp18
      | hskp17
      | ~ c3_1(X5)
      | ~ c0_1(X5)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f151,plain,
    ! [X2] :
      ( hskp24
      | hskp9
      | ~ c3_1(X2)
      | ~ c1_1(X2)
      | c2_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f152,plain,
    ! [X1] :
      ( hskp20
      | hskp26
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f153,plain,
    ! [X0] :
      ( hskp10
      | hskp6
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f154,plain,
    ( hskp21
    | hskp17
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f155,plain,
    ( hskp22
    | hskp26
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f156,plain,
    ( hskp4
    | hskp8
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f157,plain,
    ( hskp13
    | hskp9
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f158,plain,
    ( hskp0
    | hskp23
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp0
    | hskp23
    | hskp24 ),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_50,negated_conjecture,
    ( hskp13
    | hskp9
    | hskp7 ),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_51,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp17 ),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_52,negated_conjecture,
    ( hskp22
    | hskp26
    | hskp6 ),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_53,negated_conjecture,
    ( hskp17
    | hskp21
    | hskp25 ),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_54,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | hskp6
    | hskp10 ),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_55,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp26
    | hskp20 ),
    inference(cnf_transformation,[],[f152]) ).

cnf(c_56,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp24
    | hskp9 ),
    inference(cnf_transformation,[],[f151]) ).

cnf(c_57,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp19 ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_58,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp17
    | hskp18 ),
    inference(cnf_transformation,[],[f149]) ).

cnf(c_59,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | hskp26
    | hskp16 ),
    inference(cnf_transformation,[],[f148]) ).

cnf(c_60,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_61,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c3_1(X0)
    | hskp7 ),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_63,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X1) ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_64,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_65,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp2 ),
    inference(cnf_transformation,[],[f142]) ).

cnf(c_66,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp13 ),
    inference(cnf_transformation,[],[f163]) ).

cnf(c_67,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp12
    | hskp27 ),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_68,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X0)
    | hskp11 ),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_69,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f165]) ).

cnf(c_71,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp9
    | hskp8 ),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_73,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp26
    | hskp27 ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_74,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c3_1(X0)
    | hskp26
    | hskp25 ),
    inference(cnf_transformation,[],[f133]) ).

cnf(c_75,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_77,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | hskp5 ),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_78,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_80,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp4 ),
    inference(cnf_transformation,[],[f172]) ).

cnf(c_81,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp2
    | hskp3 ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_83,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_84,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp24 ),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_85,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f176]) ).

cnf(c_86,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_87,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f178]) ).

cnf(c_88,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X1) ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_89,negated_conjecture,
    ( ~ hskp27
    | c3_1(a11) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_90,negated_conjecture,
    ( ~ hskp27
    | c1_1(a11) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_91,negated_conjecture,
    ( ~ hskp27
    | c0_1(a11) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_93,negated_conjecture,
    ( ~ hskp26
    | c3_1(a10) ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_94,negated_conjecture,
    ( ~ hskp26
    | c2_1(a10) ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_95,negated_conjecture,
    ( ~ hskp26
    | c0_1(a10) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_96,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    inference(cnf_transformation,[],[f111]) ).

cnf(c_97,negated_conjecture,
    ( ~ hskp25
    | c2_1(a9) ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_98,negated_conjecture,
    ( ~ hskp25
    | c1_1(a9) ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_99,negated_conjecture,
    ( ~ hskp25
    | c0_1(a9) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_101,negated_conjecture,
    ( ~ hskp24
    | c3_1(a3) ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_102,negated_conjecture,
    ( ~ hskp24
    | c2_1(a3) ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_103,negated_conjecture,
    ( ~ hskp24
    | c1_1(a3) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_105,negated_conjecture,
    ( ~ c1_1(a53)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f102]) ).

cnf(c_106,negated_conjecture,
    ( ~ c0_1(a53)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_107,negated_conjecture,
    ( ~ hskp23
    | c3_1(a53) ),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_112,negated_conjecture,
    ( ~ hskp22
    | ndr1_0 ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_113,negated_conjecture,
    ( ~ c1_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_114,negated_conjecture,
    ( ~ hskp21
    | c3_1(a42) ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_115,negated_conjecture,
    ( ~ hskp21
    | c2_1(a42) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_117,negated_conjecture,
    ( ~ c3_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_118,negated_conjecture,
    ( ~ c0_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp20
    | c1_1(a37) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_121,negated_conjecture,
    ( ~ c0_1(a33)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp19
    | c3_1(a33) ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp19
    | c2_1(a33) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_125,negated_conjecture,
    ( ~ c3_1(a32)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_126,negated_conjecture,
    ( ~ c1_1(a32)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_127,negated_conjecture,
    ( ~ c0_1(a32)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_129,negated_conjecture,
    ( ~ c1_1(a31)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp17
    | c2_1(a31) ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp17
    | c0_1(a31) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_134,negated_conjecture,
    ( ~ c0_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp16
    | c1_1(a30) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_137,negated_conjecture,
    ( ~ c3_1(a25)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp15
    | c1_1(a25) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp15
    | c0_1(a25) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_141,negated_conjecture,
    ( ~ c1_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_142,negated_conjecture,
    ( ~ c0_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp14
    | c2_1(a24) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_145,negated_conjecture,
    ( ~ c3_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_146,negated_conjecture,
    ( ~ c2_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_147,negated_conjecture,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_149,negated_conjecture,
    ( ~ c2_1(a21)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_150,negated_conjecture,
    ( ~ c1_1(a21)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_151,negated_conjecture,
    ( ~ c0_1(a21)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_153,negated_conjecture,
    ( ~ c3_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_154,negated_conjecture,
    ( ~ c1_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp11
    | c2_1(a19) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_158,negated_conjecture,
    ( ~ hskp10
    | c2_1(a18) ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp10
    | c0_1(a18) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_161,negated_conjecture,
    ( ~ c3_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_162,negated_conjecture,
    ( ~ c2_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_163,negated_conjecture,
    ( ~ hskp9
    | c0_1(a16) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_165,negated_conjecture,
    ( ~ c2_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_166,negated_conjecture,
    ( ~ c1_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_167,negated_conjecture,
    ( ~ hskp8
    | c0_1(a15) ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_169,negated_conjecture,
    ( ~ c2_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_170,negated_conjecture,
    ( ~ hskp7
    | c3_1(a14) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp7
    | c0_1(a14) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_173,negated_conjecture,
    ( ~ c2_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_174,negated_conjecture,
    ( ~ hskp6
    | c1_1(a8) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp6
    | c0_1(a8) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_176,negated_conjecture,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_177,negated_conjecture,
    ( ~ c0_1(a7)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_178,negated_conjecture,
    ( ~ hskp5
    | c3_1(a7) ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp5
    | c1_1(a7) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_181,negated_conjecture,
    ( ~ c2_1(a6)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_182,negated_conjecture,
    ( ~ hskp4
    | c3_1(a6) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp4
    | c1_1(a6) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_185,negated_conjecture,
    ( ~ c3_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_186,negated_conjecture,
    ( ~ c2_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_187,negated_conjecture,
    ( ~ c1_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_189,negated_conjecture,
    ( ~ c3_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_190,negated_conjecture,
    ( ~ c2_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp2
    | c1_1(a4) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_193,negated_conjecture,
    ( ~ c3_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_194,negated_conjecture,
    ( ~ c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp1
    | c2_1(a2) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_197,negated_conjecture,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_198,negated_conjecture,
    ( ~ c0_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp0
    | c3_1(a1) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_200,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_217,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_200,c_176,c_112,c_96,c_52]) ).

cnf(c_273,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_176,c_112,c_96,c_52,c_61]) ).

cnf(c_276,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp2
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_81,c_176,c_112,c_96,c_52,c_81]) ).

cnf(c_279,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | hskp26
    | hskp25 ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_176,c_112,c_96,c_52,c_74]) ).

cnf(c_282,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_65,c_176,c_112,c_96,c_52,c_65]) ).

cnf(c_288,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp26
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_176,c_112,c_96,c_52,c_59]) ).

cnf(c_291,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp26
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_176,c_112,c_96,c_52,c_73]) ).

cnf(c_292,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp26
    | hskp27 ),
    inference(renaming,[status(thm)],[c_291]) ).

cnf(c_297,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp9
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_176,c_112,c_96,c_52,c_71]) ).

cnf(c_298,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp9
    | hskp8 ),
    inference(renaming,[status(thm)],[c_297]) ).

cnf(c_300,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp12
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_176,c_112,c_96,c_52,c_67]) ).

cnf(c_301,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp12
    | hskp27 ),
    inference(renaming,[status(thm)],[c_300]) ).

cnf(c_303,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp17
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_176,c_112,c_96,c_52,c_58]) ).

cnf(c_304,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp17
    | hskp18 ),
    inference(renaming,[status(thm)],[c_303]) ).

cnf(c_306,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_56,c_176,c_112,c_96,c_52,c_56]) ).

cnf(c_307,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp24
    | hskp9 ),
    inference(renaming,[status(thm)],[c_306]) ).

cnf(c_309,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp26
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_55,c_176,c_112,c_96,c_52,c_55]) ).

cnf(c_310,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp26
    | hskp20 ),
    inference(renaming,[status(thm)],[c_309]) ).

cnf(c_312,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | hskp6
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_54,c_176,c_112,c_96,c_52,c_54]) ).

cnf(c_313,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | hskp6
    | hskp10 ),
    inference(renaming,[status(thm)],[c_312]) ).

cnf(c_315,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_176,c_112,c_96,c_52,c_86]) ).

cnf(c_316,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(renaming,[status(thm)],[c_315]) ).

cnf(c_317,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_87,c_176,c_112,c_96,c_52,c_87]) ).

cnf(c_318,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_317]) ).

cnf(c_319,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_85,c_176,c_112,c_96,c_52,c_85]) ).

cnf(c_320,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_319]) ).

cnf(c_321,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp24 ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_176,c_112,c_96,c_52,c_84]) ).

cnf(c_322,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp24 ),
    inference(renaming,[status(thm)],[c_321]) ).

cnf(c_323,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_176,c_112,c_96,c_52,c_80]) ).

cnf(c_324,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_323]) ).

cnf(c_325,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_77,c_77,c_217]) ).

cnf(c_326,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_325]) ).

cnf(c_329,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_176,c_112,c_96,c_52,c_66]) ).

cnf(c_330,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_329]) ).

cnf(c_332,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_176,c_112,c_96,c_52,c_64]) ).

cnf(c_333,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_332]) ).

cnf(c_335,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_63,c_176,c_112,c_96,c_52,c_63]) ).

cnf(c_336,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c3_1(X1) ),
    inference(renaming,[status(thm)],[c_335]) ).

cnf(c_339,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_176,c_112,c_96,c_52,c_69]) ).

cnf(c_340,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_339]) ).

cnf(c_341,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c3_1(X0)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_176,c_112,c_96,c_52,c_68]) ).

cnf(c_342,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c3_1(X0)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_341]) ).

cnf(c_343,plain,
    ( ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_57,c_176,c_112,c_96,c_52,c_57]) ).

cnf(c_344,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | c2_1(X1)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_343]) ).

cnf(c_345,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_176,c_112,c_96,c_52,c_88]) ).

cnf(c_351,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_176,c_112,c_96,c_52,c_78]) ).

cnf(c_352,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_351]) ).

cnf(c_353,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_176,c_112,c_96,c_52,c_83]) ).

cnf(c_354,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_353]) ).

cnf(c_355,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_75,c_176,c_112,c_96,c_52,c_75]) ).

cnf(c_356,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_355]) ).

cnf(c_357,plain,
    ( ~ c3_1(X0)
    | ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_60,c_176,c_112,c_96,c_52,c_60]) ).

cnf(c_358,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X1)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_357]) ).

cnf(c_1183,plain,
    ( c3_1(a53)
    | hskp0
    | hskp24 ),
    inference(resolution,[status(thm)],[c_49,c_107]) ).

cnf(c_1193,plain,
    ( ~ c0_1(a53)
    | hskp0
    | hskp24 ),
    inference(resolution,[status(thm)],[c_49,c_106]) ).

cnf(c_1203,plain,
    ( ~ c1_1(a53)
    | hskp0
    | hskp24 ),
    inference(resolution,[status(thm)],[c_49,c_105]) ).

cnf(c_1261,plain,
    ( c2_1(a42)
    | hskp17
    | hskp25 ),
    inference(resolution,[status(thm)],[c_53,c_115]) ).

cnf(c_1271,plain,
    ( c3_1(a42)
    | hskp17
    | hskp25 ),
    inference(resolution,[status(thm)],[c_53,c_114]) ).

cnf(c_1281,plain,
    ( ~ c1_1(a42)
    | hskp17
    | hskp25 ),
    inference(resolution,[status(thm)],[c_53,c_113]) ).

cnf(c_2308,plain,
    ( ~ c0_1(a22)
    | hskp9
    | hskp7 ),
    inference(resolution,[status(thm)],[c_50,c_147]) ).

cnf(c_2318,plain,
    ( ~ c2_1(a22)
    | hskp9
    | hskp7 ),
    inference(resolution,[status(thm)],[c_50,c_146]) ).

cnf(c_2328,plain,
    ( ~ c3_1(a22)
    | hskp9
    | hskp7 ),
    inference(resolution,[status(thm)],[c_50,c_145]) ).

cnf(c_2593,plain,
    ( c0_1(a14)
    | hskp13
    | hskp9 ),
    inference(resolution,[status(thm)],[c_50,c_171]) ).

cnf(c_2603,plain,
    ( c3_1(a14)
    | hskp13
    | hskp9 ),
    inference(resolution,[status(thm)],[c_50,c_170]) ).

cnf(c_2613,plain,
    ( ~ c2_1(a14)
    | hskp13
    | hskp9 ),
    inference(resolution,[status(thm)],[c_50,c_169]) ).

cnf(c_2914,plain,
    ( c0_1(a16)
    | hskp13
    | hskp7 ),
    inference(resolution,[status(thm)],[c_50,c_163]) ).

cnf(c_2924,plain,
    ( ~ c2_1(a16)
    | hskp13
    | hskp7 ),
    inference(resolution,[status(thm)],[c_50,c_162]) ).

cnf(c_2934,plain,
    ( ~ c3_1(a16)
    | hskp13
    | hskp7 ),
    inference(resolution,[status(thm)],[c_50,c_161]) ).

cnf(c_3922,plain,
    ( c0_1(a31)
    | hskp4
    | hskp8 ),
    inference(resolution,[status(thm)],[c_51,c_131]) ).

cnf(c_3932,plain,
    ( c2_1(a31)
    | hskp4
    | hskp8 ),
    inference(resolution,[status(thm)],[c_51,c_130]) ).

cnf(c_3942,plain,
    ( ~ c1_1(a31)
    | hskp4
    | hskp8 ),
    inference(resolution,[status(thm)],[c_51,c_129]) ).

cnf(c_9547,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_358]) ).

cnf(c_9548,negated_conjecture,
    ( c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_358]) ).

cnf(c_9549,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_358]) ).

cnf(c_9550,negated_conjecture,
    ( sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_358]) ).

cnf(c_9551,negated_conjecture,
    ( c3_1(X0)
    | c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_356]) ).

cnf(c_9552,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_356]) ).

cnf(c_9553,negated_conjecture,
    ( sP0_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

cnf(c_9554,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_354]) ).

cnf(c_9555,negated_conjecture,
    ( c3_1(X0)
    | c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_354]) ).

cnf(c_9556,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_354]) ).

cnf(c_9557,negated_conjecture,
    ( sP5_iProver_split
    | sP6_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_354]) ).

cnf(c_9558,negated_conjecture,
    ( c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_352]) ).

cnf(c_9559,negated_conjecture,
    ( c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_352]) ).

cnf(c_9560,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_352]) ).

cnf(c_9561,negated_conjecture,
    ( sP8_iProver_split
    | sP9_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_352]) ).

cnf(c_9565,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_345]) ).

cnf(c_9566,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_345]) ).

cnf(c_9567,negated_conjecture,
    ( sP9_iProver_split
    | sP12_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_345]) ).

cnf(c_9568,negated_conjecture,
    ( hskp19
    | sP4_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_344]) ).

cnf(c_9569,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_342]) ).

cnf(c_9570,negated_conjecture,
    ( c3_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_342]) ).

cnf(c_9571,negated_conjecture,
    ( hskp11
    | sP14_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_342]) ).

cnf(c_9572,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_340]) ).

cnf(c_9573,negated_conjecture,
    ( hskp10
    | sP7_iProver_split
    | sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_340]) ).

cnf(c_9576,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_336]) ).

cnf(c_9577,negated_conjecture,
    ( sP2_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_336]) ).

cnf(c_9578,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_333]) ).

cnf(c_9579,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_333]) ).

cnf(c_9580,negated_conjecture,
    ( hskp15
    | sP19_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_333]) ).

cnf(c_9581,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_330]) ).

cnf(c_9582,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_330]) ).

cnf(c_9583,negated_conjecture,
    ( hskp13
    | sP21_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_330]) ).

cnf(c_9585,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_326]) ).

cnf(c_9586,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_326]) ).

cnf(c_9587,negated_conjecture,
    ( hskp5
    | sP23_iProver_split
    | sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_326]) ).

cnf(c_9588,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_324]) ).

cnf(c_9589,negated_conjecture,
    ( hskp4
    | sP21_iProver_split
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_324]) ).

cnf(c_9590,negated_conjecture,
    ( c3_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | ~ sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_split])],[c_322]) ).

cnf(c_9593,negated_conjecture,
    ( hskp1
    | sP7_iProver_split
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_320]) ).

cnf(c_9594,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_318]) ).

cnf(c_9595,negated_conjecture,
    ( hskp0
    | sP12_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_318]) ).

cnf(c_9596,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_split])],[c_316]) ).

cnf(c_9597,negated_conjecture,
    ( sP26_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_316]) ).

cnf(c_9598,negated_conjecture,
    ( hskp6
    | hskp10
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_313]) ).

cnf(c_9599,negated_conjecture,
    ( hskp26
    | hskp20
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_310]) ).

cnf(c_9600,negated_conjecture,
    ( hskp24
    | hskp9
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_307]) ).

cnf(c_9601,negated_conjecture,
    ( hskp17
    | hskp18
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_304]) ).

cnf(c_9602,negated_conjecture,
    ( hskp12
    | hskp27
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_301]) ).

cnf(c_9603,negated_conjecture,
    ( hskp9
    | hskp8
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_298]) ).

cnf(c_9605,negated_conjecture,
    ( hskp26
    | hskp27
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_292]) ).

cnf(c_9606,negated_conjecture,
    ( hskp26
    | hskp16
    | sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_288]) ).

cnf(c_9608,negated_conjecture,
    ( hskp14
    | hskp2
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_282]) ).

cnf(c_9609,negated_conjecture,
    ( hskp26
    | hskp25
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_279]) ).

cnf(c_9610,negated_conjecture,
    ( hskp2
    | hskp3
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_276]) ).

cnf(c_9613,plain,
    ( ~ sP12_iProver_split
    | c2_1(a1)
    | c1_1(a1)
    | c0_1(a1) ),
    inference(instantiation,[status(thm)],[c_9565]) ).

cnf(c_9621,plain,
    ( ~ c3_1(a1)
    | ~ sP13_iProver_split
    | c2_1(a1)
    | c0_1(a1) ),
    inference(instantiation,[status(thm)],[c_9566]) ).

cnf(c_9626,plain,
    ( ~ c3_1(a1)
    | ~ sP25_iProver_split
    | c1_1(a1)
    | c0_1(a1) ),
    inference(instantiation,[status(thm)],[c_9588]) ).

cnf(c_9628,plain,
    ( ~ c1_1(a1)
    | ~ c3_1(a1)
    | ~ sP10_iProver_split
    | c2_1(a1) ),
    inference(instantiation,[status(thm)],[c_9560]) ).

cnf(c_9649,plain,
    ( ~ c1_1(a4)
    | ~ sP0_iProver_split
    | c2_1(a4)
    | c3_1(a4) ),
    inference(instantiation,[status(thm)],[c_9547]) ).

cnf(c_9652,plain,
    ( ~ c2_1(a31)
    | ~ c0_1(a31)
    | ~ c3_1(a31)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_9549]) ).

cnf(c_9657,plain,
    ( ~ c2_1(a33)
    | ~ sP5_iProver_split
    | c1_1(a33)
    | c0_1(a33) ),
    inference(instantiation,[status(thm)],[c_9554]) ).

cnf(c_9662,plain,
    ( ~ sP9_iProver_split
    | c2_1(a37)
    | c0_1(a37)
    | c3_1(a37) ),
    inference(instantiation,[status(thm)],[c_9559]) ).

cnf(c_9664,plain,
    ( ~ sP9_iProver_split
    | c2_1(a22)
    | c0_1(a22)
    | c3_1(a22) ),
    inference(instantiation,[status(thm)],[c_9559]) ).

cnf(c_9672,plain,
    ( ~ sP26_iProver_split
    | c1_1(a22)
    | c0_1(a22)
    | c3_1(a22) ),
    inference(instantiation,[status(thm)],[c_9590]) ).

cnf(c_9687,plain,
    ( ~ c0_1(a16)
    | ~ sP21_iProver_split
    | c2_1(a16)
    | c1_1(a16) ),
    inference(instantiation,[status(thm)],[c_9581]) ).

cnf(c_9688,plain,
    ( ~ c0_1(a14)
    | ~ sP21_iProver_split
    | c2_1(a14)
    | c1_1(a14) ),
    inference(instantiation,[status(thm)],[c_9581]) ).

cnf(c_9733,plain,
    ( ~ c1_1(a16)
    | ~ sP0_iProver_split
    | c2_1(a16)
    | c3_1(a16) ),
    inference(instantiation,[status(thm)],[c_9547]) ).

cnf(c_9749,plain,
    ( ~ c2_1(a3)
    | ~ c0_1(a3)
    | ~ c3_1(a3)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_9549]) ).

cnf(c_9751,plain,
    ( ~ c0_1(a15)
    | ~ sP21_iProver_split
    | c2_1(a15)
    | c1_1(a15) ),
    inference(instantiation,[status(thm)],[c_9581]) ).

cnf(c_9763,plain,
    ( ~ c2_1(a3)
    | ~ c1_1(a3)
    | ~ sP29_iProver_split
    | c0_1(a3) ),
    inference(instantiation,[status(thm)],[c_9596]) ).

cnf(c_9764,plain,
    ( ~ c2_1(a33)
    | ~ c1_1(a33)
    | ~ sP29_iProver_split
    | c0_1(a33) ),
    inference(instantiation,[status(thm)],[c_9596]) ).

cnf(c_9771,plain,
    ( ~ c2_1(a2)
    | ~ c1_1(a2)
    | ~ sP29_iProver_split
    | c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_9596]) ).

cnf(c_9772,plain,
    ( ~ c2_1(a37)
    | ~ c1_1(a37)
    | ~ sP29_iProver_split
    | c0_1(a37) ),
    inference(instantiation,[status(thm)],[c_9596]) ).

cnf(c_9778,plain,
    ( ~ c1_1(a11)
    | ~ c3_1(a11)
    | ~ sP10_iProver_split
    | c2_1(a11) ),
    inference(instantiation,[status(thm)],[c_9560]) ).

cnf(c_9784,plain,
    ( ~ c1_1(a8)
    | ~ c3_1(a8)
    | ~ sP10_iProver_split
    | c2_1(a8) ),
    inference(instantiation,[status(thm)],[c_9560]) ).

cnf(c_9785,plain,
    ( ~ c1_1(a7)
    | ~ c3_1(a7)
    | ~ sP10_iProver_split
    | c2_1(a7) ),
    inference(instantiation,[status(thm)],[c_9560]) ).

cnf(c_9786,plain,
    ( ~ c1_1(a6)
    | ~ c3_1(a6)
    | ~ sP10_iProver_split
    | c2_1(a6) ),
    inference(instantiation,[status(thm)],[c_9560]) ).

cnf(c_9790,plain,
    ( ~ c1_1(a14)
    | ~ c3_1(a14)
    | ~ sP10_iProver_split
    | c2_1(a14) ),
    inference(instantiation,[status(thm)],[c_9560]) ).

cnf(c_9801,plain,
    ( ~ c2_1(a10)
    | ~ c0_1(a10)
    | ~ c3_1(a10)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_9549]) ).

cnf(c_9812,plain,
    ( ~ c2_1(a9)
    | ~ c1_1(a9)
    | ~ c0_1(a9)
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_9552]) ).

cnf(c_9813,plain,
    ( ~ c2_1(a3)
    | ~ c1_1(a3)
    | ~ c0_1(a3)
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_9552]) ).

cnf(c_9821,plain,
    ( ~ c2_1(a25)
    | ~ c1_1(a25)
    | ~ c0_1(a25)
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_9552]) ).

cnf(c_9826,plain,
    ( ~ c2_1(a31)
    | ~ sP18_iProver_split
    | c1_1(a31)
    | c3_1(a31) ),
    inference(instantiation,[status(thm)],[c_9576]) ).

cnf(c_9827,plain,
    ( ~ c2_1(a19)
    | ~ sP18_iProver_split
    | c1_1(a19)
    | c3_1(a19) ),
    inference(instantiation,[status(thm)],[c_9576]) ).

cnf(c_9828,plain,
    ( ~ c2_1(a18)
    | ~ sP18_iProver_split
    | c1_1(a18)
    | c3_1(a18) ),
    inference(instantiation,[status(thm)],[c_9576]) ).

cnf(c_9850,plain,
    ( ~ c0_1(a25)
    | ~ sP1_iProver_split
    | c2_1(a25)
    | c3_1(a25) ),
    inference(instantiation,[status(thm)],[c_9548]) ).

cnf(c_9851,plain,
    ( ~ c0_1(a16)
    | ~ sP1_iProver_split
    | c2_1(a16)
    | c3_1(a16) ),
    inference(instantiation,[status(thm)],[c_9548]) ).

cnf(c_9853,plain,
    ( ~ c2_1(a25)
    | ~ c0_1(a25)
    | ~ sP15_iProver_split
    | c3_1(a25) ),
    inference(instantiation,[status(thm)],[c_9570]) ).

cnf(c_9858,plain,
    ( ~ c1_1(a30)
    | ~ c3_1(a30)
    | ~ sP16_iProver_split
    | c0_1(a30) ),
    inference(instantiation,[status(thm)],[c_9572]) ).

cnf(c_9862,plain,
    ( ~ c1_1(a6)
    | ~ c3_1(a6)
    | ~ sP16_iProver_split
    | c0_1(a6) ),
    inference(instantiation,[status(thm)],[c_9572]) ).

cnf(c_9870,plain,
    ( ~ sP26_iProver_split
    | c1_1(a32)
    | c0_1(a32)
    | c3_1(a32) ),
    inference(instantiation,[status(thm)],[c_9590]) ).

cnf(c_9875,plain,
    ( ~ c2_1(a42)
    | ~ sP5_iProver_split
    | c1_1(a42)
    | c0_1(a42) ),
    inference(instantiation,[status(thm)],[c_9554]) ).

cnf(c_9876,plain,
    ( ~ c2_1(a42)
    | ~ c0_1(a42)
    | ~ c3_1(a42)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_9549]) ).

cnf(c_9878,plain,
    ( ~ c0_1(a5)
    | ~ sP1_iProver_split
    | c2_1(a5)
    | c3_1(a5) ),
    inference(instantiation,[status(thm)],[c_9548]) ).

cnf(c_9879,plain,
    ( ~ sP26_iProver_split
    | c1_1(a5)
    | c0_1(a5)
    | c3_1(a5) ),
    inference(instantiation,[status(thm)],[c_9590]) ).

cnf(c_9881,plain,
    ( ~ c2_1(a42)
    | ~ c3_1(a42)
    | ~ sP7_iProver_split
    | c1_1(a42) ),
    inference(instantiation,[status(thm)],[c_9556]) ).

cnf(c_9886,plain,
    ( ~ c0_1(a16)
    | ~ sP8_iProver_split
    | c1_1(a16)
    | c3_1(a16) ),
    inference(instantiation,[status(thm)],[c_9558]) ).

cnf(c_9887,plain,
    ( ~ c0_1(a5)
    | ~ sP8_iProver_split
    | c1_1(a5)
    | c3_1(a5) ),
    inference(instantiation,[status(thm)],[c_9558]) ).

cnf(c_9912,plain,
    ( ~ c0_1(a5)
    | ~ sP21_iProver_split
    | c2_1(a5)
    | c1_1(a5) ),
    inference(instantiation,[status(thm)],[c_9581]) ).

cnf(c_9913,plain,
    ( ~ c1_1(a37)
    | ~ sP6_iProver_split
    | c0_1(a37)
    | c3_1(a37) ),
    inference(instantiation,[status(thm)],[c_9555]) ).

cnf(c_9921,plain,
    ( ~ c1_1(a30)
    | ~ sP6_iProver_split
    | c0_1(a30)
    | c3_1(a30) ),
    inference(instantiation,[status(thm)],[c_9555]) ).

cnf(c_9938,plain,
    ( ~ c1_1(a4)
    | ~ sP23_iProver_split
    | c2_1(a4)
    | c0_1(a4) ),
    inference(instantiation,[status(thm)],[c_9585]) ).

cnf(c_9947,plain,
    ( ~ c0_1(a11)
    | ~ c3_1(a11)
    | ~ sP20_iProver_split
    | c2_1(a11) ),
    inference(instantiation,[status(thm)],[c_9579]) ).

cnf(c_9954,plain,
    ( ~ c0_1(a15)
    | ~ c3_1(a15)
    | ~ sP20_iProver_split
    | c2_1(a15) ),
    inference(instantiation,[status(thm)],[c_9579]) ).

cnf(c_9955,plain,
    ( ~ c0_1(a14)
    | ~ c3_1(a14)
    | ~ sP20_iProver_split
    | c2_1(a14) ),
    inference(instantiation,[status(thm)],[c_9579]) ).

cnf(c_9959,plain,
    ( ~ c0_1(a6)
    | ~ c3_1(a6)
    | ~ sP20_iProver_split
    | c2_1(a6) ),
    inference(instantiation,[status(thm)],[c_9579]) ).

cnf(c_9985,plain,
    ( ~ c1_1(a4)
    | ~ sP6_iProver_split
    | c0_1(a4)
    | c3_1(a4) ),
    inference(instantiation,[status(thm)],[c_9555]) ).

cnf(c_9989,plain,
    ( ~ c0_1(a4)
    | ~ sP1_iProver_split
    | c2_1(a4)
    | c3_1(a4) ),
    inference(instantiation,[status(thm)],[c_9548]) ).

cnf(c_10021,plain,
    ( ~ c2_1(a18)
    | ~ c0_1(a18)
    | ~ sP15_iProver_split
    | c3_1(a18) ),
    inference(instantiation,[status(thm)],[c_9570]) ).

cnf(c_10037,plain,
    ( ~ c2_1(a18)
    | ~ c1_1(a18)
    | ~ sP24_iProver_split
    | c3_1(a18) ),
    inference(instantiation,[status(thm)],[c_9586]) ).

cnf(c_10049,plain,
    ( ~ c2_1(a33)
    | ~ c3_1(a33)
    | ~ sP7_iProver_split
    | c1_1(a33) ),
    inference(instantiation,[status(thm)],[c_9556]) ).

cnf(c_10098,plain,
    ( ~ c0_1(a15)
    | ~ sP8_iProver_split
    | c1_1(a15)
    | c3_1(a15) ),
    inference(instantiation,[status(thm)],[c_9558]) ).

cnf(c_10100,plain,
    ( ~ c0_1(a15)
    | ~ sP1_iProver_split
    | c2_1(a15)
    | c3_1(a15) ),
    inference(instantiation,[status(thm)],[c_9548]) ).

cnf(c_10117,plain,
    ( ~ c0_1(a8)
    | ~ sP1_iProver_split
    | c2_1(a8)
    | c3_1(a8) ),
    inference(instantiation,[status(thm)],[c_9548]) ).

cnf(c_10165,plain,
    ( ~ sP12_iProver_split
    | c2_1(a21)
    | c1_1(a21)
    | c0_1(a21) ),
    inference(instantiation,[status(thm)],[c_9565]) ).

cnf(c_10184,plain,
    ( ~ sP12_iProver_split
    | c2_1(a53)
    | c1_1(a53)
    | c0_1(a53) ),
    inference(instantiation,[status(thm)],[c_9565]) ).

cnf(c_10201,plain,
    ( ~ c3_1(a53)
    | ~ sP25_iProver_split
    | c1_1(a53)
    | c0_1(a53) ),
    inference(instantiation,[status(thm)],[c_9588]) ).

cnf(c_10245,plain,
    ( ~ c2_1(a33)
    | ~ c3_1(a33)
    | ~ sP14_iProver_split
    | c0_1(a33) ),
    inference(instantiation,[status(thm)],[c_9569]) ).

cnf(c_10269,plain,
    ( ~ c2_1(a37)
    | ~ sP3_iProver_split
    | c0_1(a37)
    | c3_1(a37) ),
    inference(instantiation,[status(thm)],[c_9551]) ).

cnf(c_10286,plain,
    ( ~ c2_1(a11)
    | ~ c1_1(a11)
    | ~ c0_1(a11)
    | ~ sP4_iProver_split ),
    inference(instantiation,[status(thm)],[c_9552]) ).

cnf(c_10289,plain,
    ( ~ c2_1(a11)
    | ~ c0_1(a11)
    | ~ c3_1(a11)
    | ~ sP2_iProver_split ),
    inference(instantiation,[status(thm)],[c_9549]) ).

cnf(c_10338,plain,
    ( ~ c0_1(a31)
    | ~ sP8_iProver_split
    | c1_1(a31)
    | c3_1(a31) ),
    inference(instantiation,[status(thm)],[c_9558]) ).

cnf(c_10339,plain,
    ( ~ c0_1(a31)
    | ~ c3_1(a31)
    | ~ sP22_iProver_split
    | c1_1(a31) ),
    inference(instantiation,[status(thm)],[c_9582]) ).

cnf(c_10344,plain,
    ( ~ c2_1(a31)
    | c1_1(a31)
    | c3_1(a31)
    | hskp7 ),
    inference(instantiation,[status(thm)],[c_273]) ).

cnf(c_10347,plain,
    ( ~ c2_1(a31)
    | ~ c3_1(a31)
    | ~ sP7_iProver_split
    | c1_1(a31) ),
    inference(instantiation,[status(thm)],[c_9556]) ).

cnf(c_10398,plain,
    ( ~ c2_1(a25)
    | ~ c1_1(a25)
    | ~ sP24_iProver_split
    | c3_1(a25) ),
    inference(instantiation,[status(thm)],[c_9586]) ).

cnf(c_10418,plain,
    ( ~ c3_1(a24)
    | ~ sP25_iProver_split
    | c1_1(a24)
    | c0_1(a24) ),
    inference(instantiation,[status(thm)],[c_9588]) ).

cnf(c_10419,plain,
    ( ~ sP26_iProver_split
    | c1_1(a24)
    | c0_1(a24)
    | c3_1(a24) ),
    inference(instantiation,[status(thm)],[c_9590]) ).

cnf(c_10421,plain,
    ( ~ c2_1(a24)
    | ~ c3_1(a24)
    | ~ sP14_iProver_split
    | c0_1(a24) ),
    inference(instantiation,[status(thm)],[c_9569]) ).

cnf(c_10425,plain,
    ( ~ c2_1(a24)
    | ~ c3_1(a24)
    | ~ sP7_iProver_split
    | c1_1(a24) ),
    inference(instantiation,[status(thm)],[c_9556]) ).

cnf(c_10426,plain,
    ( ~ c2_1(a24)
    | ~ sP18_iProver_split
    | c1_1(a24)
    | c3_1(a24) ),
    inference(instantiation,[status(thm)],[c_9576]) ).

cnf(c_10429,plain,
    ( ~ c2_1(a24)
    | ~ sP5_iProver_split
    | c1_1(a24)
    | c0_1(a24) ),
    inference(instantiation,[status(thm)],[c_9554]) ).

cnf(c_10523,plain,
    ( ~ c2_1(a31)
    | ~ c0_1(a31)
    | ~ sP15_iProver_split
    | c3_1(a31) ),
    inference(instantiation,[status(thm)],[c_9570]) ).

cnf(c_10589,plain,
    ( ~ c3_1(a15)
    | ~ sP19_iProver_split
    | c2_1(a15)
    | c1_1(a15) ),
    inference(instantiation,[status(thm)],[c_9578]) ).

cnf(c_10602,plain,
    ( ~ c1_1(a22)
    | ~ sP0_iProver_split
    | c2_1(a22)
    | c3_1(a22) ),
    inference(instantiation,[status(thm)],[c_9547]) ).

cnf(c_10604,plain,
    ( ~ c2_1(a2)
    | ~ sP18_iProver_split
    | c1_1(a2)
    | c3_1(a2) ),
    inference(instantiation,[status(thm)],[c_9576]) ).

cnf(c_10612,plain,
    ( ~ c2_1(a31)
    | ~ c0_1(a31)
    | ~ sP28_iProver_split
    | c1_1(a31) ),
    inference(instantiation,[status(thm)],[c_9594]) ).

cnf(c_10633,plain,
    ( ~ c3_1(a53)
    | ~ sP13_iProver_split
    | c2_1(a53)
    | c0_1(a53) ),
    inference(instantiation,[status(thm)],[c_9566]) ).

cnf(c_10740,plain,
    ( ~ c2_1(a7)
    | ~ c3_1(a7)
    | ~ sP14_iProver_split
    | c0_1(a7) ),
    inference(instantiation,[status(thm)],[c_9569]) ).

cnf(c_10741,plain,
    ( ~ c2_1(a7)
    | ~ c1_1(a7)
    | ~ sP29_iProver_split
    | c0_1(a7) ),
    inference(instantiation,[status(thm)],[c_9596]) ).

cnf(c_10843,plain,
    ( ~ c2_1(a53)
    | ~ c3_1(a53)
    | ~ sP14_iProver_split
    | c0_1(a53) ),
    inference(instantiation,[status(thm)],[c_9569]) ).

cnf(c_11096,plain,
    ( ~ c1_1(a22)
    | ~ sP23_iProver_split
    | c2_1(a22)
    | c0_1(a22) ),
    inference(instantiation,[status(thm)],[c_9585]) ).

cnf(c_11105,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_11096,c_10843,c_10740,c_10741,c_10633,c_10612,c_10604,c_10602,c_10589,c_10523,c_10421,c_10425,c_10426,c_10429,c_10418,c_10419,c_10398,c_10344,c_10347,c_10338,c_10339,c_10286,c_10289,c_10269,c_10245,c_10201,c_10184,c_10165,c_10117,c_10098,c_10100,c_10049,c_10037,c_10021,c_9985,c_9989,c_9959,c_9955,c_9954,c_9947,c_9938,c_9921,c_9913,c_9912,c_9887,c_9886,c_9881,c_9878,c_9879,c_9875,c_9876,c_9870,c_9862,c_9858,c_9853,c_9851,c_9850,c_9828,c_9827,c_9826,c_9821,c_9813,c_9812,c_9801,c_9790,c_9786,c_9785,c_9784,c_9778,c_9772,c_9771,c_9764,c_9763,c_9751,c_9749,c_9733,c_9688,c_9687,c_9672,c_9664,c_9662,c_9657,c_9652,c_9649,c_9628,c_9626,c_9621,c_9613,c_9610,c_9609,c_9608,c_9606,c_9605,c_9603,c_9602,c_9601,c_9600,c_9599,c_9598,c_9595,c_9593,c_9589,c_9587,c_9583,c_9580,c_9573,c_9571,c_9568,c_9567,c_9561,c_9557,c_9553,c_9550,c_9597,c_9577,c_3942,c_3932,c_3922,c_2934,c_2924,c_2914,c_2613,c_2603,c_2593,c_2328,c_2318,c_2308,c_1281,c_1271,c_1261,c_1203,c_1193,c_1183,c_117,c_118,c_121,c_125,c_126,c_127,c_129,c_134,c_137,c_141,c_142,c_145,c_146,c_147,c_149,c_150,c_151,c_153,c_154,c_157,c_161,c_162,c_165,c_166,c_169,c_173,c_177,c_181,c_185,c_186,c_187,c_189,c_190,c_193,c_194,c_197,c_198,c_89,c_90,c_91,c_93,c_94,c_95,c_97,c_98,c_99,c_101,c_102,c_103,c_119,c_122,c_123,c_130,c_131,c_135,c_138,c_139,c_143,c_155,c_158,c_159,c_163,c_167,c_170,c_171,c_174,c_175,c_178,c_179,c_182,c_183,c_191,c_195,c_199,c_50,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN436+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 21:11:35 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.38/1.15  % SZS status Started for theBenchmark.p
% 3.38/1.15  % SZS status Theorem for theBenchmark.p
% 3.38/1.15  
% 3.38/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.38/1.15  
% 3.38/1.15  ------  iProver source info
% 3.38/1.15  
% 3.38/1.15  git: date: 2023-05-31 18:12:56 +0000
% 3.38/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.38/1.15  git: non_committed_changes: false
% 3.38/1.15  git: last_make_outside_of_git: false
% 3.38/1.15  
% 3.38/1.15  ------ Parsing...
% 3.38/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.38/1.15  
% 3.38/1.15  
% 3.38/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.38/1.15  
% 3.38/1.15  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.38/1.15   gs_s  sp: 62 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.38/1.15  ------ Proving...
% 3.38/1.15  ------ Problem Properties 
% 3.38/1.15  
% 3.38/1.15  
% 3.38/1.15  clauses                                 151
% 3.38/1.15  conjectures                             142
% 3.38/1.15  EPR                                     151
% 3.38/1.15  Horn                                    89
% 3.38/1.15  unary                                   0
% 3.38/1.15  binary                                  77
% 3.38/1.15  lits                                    407
% 3.38/1.15  lits eq                                 0
% 3.38/1.15  fd_pure                                 0
% 3.38/1.15  fd_pseudo                               0
% 3.38/1.15  fd_cond                                 0
% 3.38/1.15  fd_pseudo_cond                          0
% 3.38/1.15  AC symbols                              0
% 3.38/1.15  
% 3.38/1.15  ------ Schedule EPR non Horn non eq is on
% 3.38/1.15  
% 3.38/1.15  ------ no equalities: superposition off 
% 3.38/1.15  
% 3.38/1.15  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.38/1.15  
% 3.38/1.15  
% 3.38/1.15  ------ 
% 3.38/1.15  Current options:
% 3.38/1.15  ------ 
% 3.38/1.15  
% 3.38/1.15  
% 3.38/1.15  
% 3.38/1.15  
% 3.38/1.15  ------ Proving...
% 3.38/1.15  
% 3.38/1.15  
% 3.38/1.15  % SZS status Theorem for theBenchmark.p
% 3.38/1.15  
% 3.38/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.38/1.16  
% 3.38/1.16  
%------------------------------------------------------------------------------