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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN436+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:11 PM UTC 2026

% Result   : Theorem 3.95s 1.40s
% Output   : CNFRefutation 1.15s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f163ERROR: Could not build tree for root c_10904ERROR: MakeTreeStats fails)

% 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/sandbox2/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,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( 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(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( 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(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( 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(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp0
    | hskp23
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp13
    | hskp9
    | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp4
    | hskp8
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp22
    | hskp26
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp21
    | hskp17
    | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ! [X62] :
      ( hskp10
      | hskp6
      | ~ ndr1_0
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | ~ c0_1(X62) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X61] :
      ( hskp20
      | hskp26
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X60] :
      ( hskp24
      | hskp9
      | ~ ndr1_0
      | ~ c3_1(X60)
      | ~ c1_1(X60)
      | c2_1(X60) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X57] :
      ( hskp18
      | hskp17
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c0_1(X57)
      | c2_1(X57) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X56] :
      ( hskp16
      | hskp26
      | ~ ndr1_0
      | ~ c0_1(X56)
      | c3_1(X56)
      | c2_1(X56) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X52] :
      ( hskp7
      | ~ ndr1_0
      | ~ c2_1(X52)
      | c3_1(X52)
      | c1_1(X52) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X46] :
      ( hskp14
      | hskp2
      | ~ ndr1_0
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X36] :
      ( hskp9
      | hskp8
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c1_1(X36)
      | c0_1(X36) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X35] :
      ( hskp7
      | hskp27
      | ~ ndr1_0
      | ~ c2_1(X35)
      | ~ c1_1(X35)
      | c0_1(X35) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X34] :
      ( hskp26
      | hskp27
      | ~ ndr1_0
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | c0_1(X34) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X33] :
      ( hskp26
      | hskp25
      | ~ ndr1_0
      | ~ c2_1(X33)
      | c3_1(X33)
      | c0_1(X33) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X17] :
      ( hskp3
      | hskp2
      | ~ ndr1_0
      | ~ c2_1(X17)
      | c1_1(X17)
      | c0_1(X17) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ( c3_1(a11)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ( c1_1(a11)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ( c0_1(a11)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ( c3_1(a10)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ( c2_1(a10)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ( c0_1(a10)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ( c2_1(a9)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ( c1_1(a9)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ( c0_1(a9)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ( c3_1(a3)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ( c2_1(a3)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ( c1_1(a3)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ( ~ c1_1(a53)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ( ~ c0_1(a53)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ( c3_1(a53)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ c1_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( c3_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( c2_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ c3_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ c0_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( c1_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ c0_1(a33)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( c3_1(a33)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c2_1(a33)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ c3_1(a32)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ c1_1(a32)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ c0_1(a32)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ c1_1(a31)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c2_1(a31)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a31)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ c2_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ c0_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c1_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c3_1(a25)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c1_1(a25)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c0_1(a25)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c1_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ c0_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c2_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c2_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ c0_1(a22)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c3_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ c1_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( c2_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c0_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c3_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c2_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c0_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c2_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ c1_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c0_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c2_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( c3_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c0_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c2_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( c1_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c0_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f133,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c0_1(a7)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( c3_1(a7)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c1_1(a7)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a6)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( c3_1(a6)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c1_1(a6)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c3_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ c2_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ c1_1(a5)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c3_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c2_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c1_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c3_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c0_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c3_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_54,negated_conjecture,
    ( c2_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a2) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a2) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_58,negated_conjecture,
    ( c1_1(a4)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a4) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a4) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_62,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_63,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a5) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a5) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_66,negated_conjecture,
    ( c1_1(a6)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_67,negated_conjecture,
    ( c3_1(a6)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a6) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_70,negated_conjecture,
    ( c1_1(a7)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_71,negated_conjecture,
    ( c3_1(a7)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a7) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_73,negated_conjecture,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_74,negated_conjecture,
    ( c0_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_75,negated_conjecture,
    ( c1_1(a8)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_78,negated_conjecture,
    ( c0_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_79,negated_conjecture,
    ( c3_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_82,negated_conjecture,
    ( c0_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a15) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_86,negated_conjecture,
    ( c0_1(a16)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a16) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a16) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_90,negated_conjecture,
    ( c0_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_91,negated_conjecture,
    ( c2_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_94,negated_conjecture,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a19) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_102,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a22) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_106,negated_conjecture,
    ( c2_1(a24)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_107,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a24) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a24) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_110,negated_conjecture,
    ( c0_1(a25)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_111,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a25) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_114,negated_conjecture,
    ( c1_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a30) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a30) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_118,negated_conjecture,
    ( c0_1(a31)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_119,negated_conjecture,
    ( c2_1(a31)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a31) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_122,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a32) ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a32) ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a32) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_126,negated_conjecture,
    ( c2_1(a33)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_127,negated_conjecture,
    ( c3_1(a33)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a33) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_130,negated_conjecture,
    ( c1_1(a37)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a37) ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a37) ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_134,negated_conjecture,
    ( c2_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_135,negated_conjecture,
    ( c3_1(a42)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a42) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_137,negated_conjecture,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_142,negated_conjecture,
    ( c3_1(a53)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_143,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a53) ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a53) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a3)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_147,negated_conjecture,
    ( c2_1(a3)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_148,negated_conjecture,
    ( c3_1(a3)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_150,negated_conjecture,
    ( c0_1(a9)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_151,negated_conjecture,
    ( c1_1(a9)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_152,negated_conjecture,
    ( c2_1(a9)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_153,negated_conjecture,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_154,negated_conjecture,
    ( c0_1(a10)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_155,negated_conjecture,
    ( c2_1(a10)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_156,negated_conjecture,
    ( c3_1(a10)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_157,negated_conjecture,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_158,negated_conjecture,
    ( c0_1(a11)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_159,negated_conjecture,
    ( c1_1(a11)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_160,negated_conjecture,
    ( c3_1(a11)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_161,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_162,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_163,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_164,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_165,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_166,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_167,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_168,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp2
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_169,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_170,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_171,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_172,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_175,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp25
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp26
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp7
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp8
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp2
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp16
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp17
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp9
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp20
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp6
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_196,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp17 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_197,negated_conjecture,
    ( hskp26
    | hskp22
    | hskp6 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_198,negated_conjecture,
    ( hskp17
    | hskp8
    | hskp4 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_199,negated_conjecture,
    ( hskp13
    | hskp9
    | hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_200,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_217,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_157,c_197,c_153,c_137,c_73]) ).

tcf(c_273,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_197,c_153,c_137,c_73,c_188]) ).

tcf(c_276,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp16
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_197,c_153,c_137,c_73,c_190]) ).

tcf(c_282,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp2
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_197,c_153,c_137,c_73,c_184]) ).

tcf(c_285,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp25
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_175,c_197,c_153,c_137,c_73,c_175]) ).

tcf(c_288,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp2
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_168,c_197,c_153,c_137,c_73,c_168]) ).

tcf(c_291,plain,
    ! [X0: $i] :
      ( hskp26
      | hskp20
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_197,c_153,c_137,c_73,c_194]) ).

tcf(c_292,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp20
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_291]) ).

tcf(c_294,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp9
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_197,c_153,c_137,c_73,c_193]) ).

tcf(c_295,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp9
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_294]) ).

tcf(c_297,plain,
    ! [X0: $i] :
      ( hskp18
      | hskp17
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_197,c_153,c_137,c_73,c_191]) ).

tcf(c_298,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp17
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_297]) ).

tcf(c_303,plain,
    ! [X0: $i] :
      ( hskp9
      | hskp8
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_197,c_153,c_137,c_73,c_178]) ).

tcf(c_304,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp8
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_303]) ).

tcf(c_306,plain,
    ! [X0: $i] :
      ( hskp27
      | hskp7
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_197,c_153,c_137,c_73,c_177]) ).

tcf(c_307,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp7
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_306]) ).

tcf(c_309,plain,
    ! [X0: $i] :
      ( hskp27
      | hskp26
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_197,c_153,c_137,c_73,c_176]) ).

tcf(c_310,negated_conjecture,
    ! [X0: $i] :
      ( hskp27
      | hskp26
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_309]) ).

tcf(c_312,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp6
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_197,c_153,c_137,c_73,c_195]) ).

tcf(c_313,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp6
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_312]) ).

tcf(c_315,plain,
    ! [X0: $i,X1: $i] :
      ( c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_163,c_197,c_153,c_137,c_73,c_163]) ).

tcf(c_316,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_315]) ).

tcf(c_317,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_197,c_153,c_137,c_73,c_169]) ).

tcf(c_318,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_317]) ).

tcf(c_319,plain,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_165,c_197,c_153,c_137,c_73,c_165]) ).

tcf(c_320,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_319]) ).

tcf(c_321,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_164,c_197,c_153,c_137,c_73,c_164]) ).

tcf(c_322,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_321]) ).

tcf(c_323,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_162,c_197,c_153,c_137,c_73,c_162]) ).

tcf(c_324,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_323]) ).

tcf(c_325,plain,
    ! [X0: $i,X1: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_197,c_153,c_137,c_73,c_186]) ).

tcf(c_326,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_325]) ).

tcf(c_327,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_197,c_153,c_137,c_73,c_185]) ).

tcf(c_328,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_327]) ).

tcf(c_330,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_197,c_153,c_137,c_73,c_183]) ).

tcf(c_331,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_330]) ).

tcf(c_333,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_197,c_153,c_137,c_73,c_179]) ).

tcf(c_334,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_333]) ).

tcf(c_335,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_172,c_197,c_153,c_137,c_73,c_172]) ).

tcf(c_336,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_335]) ).

tcf(c_337,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_197,c_153,c_137,c_73,c_181]) ).

tcf(c_338,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_337]) ).

tcf(c_339,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_197,c_153,c_137,c_73,c_180]) ).

tcf(c_340,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_339]) ).

tcf(c_343,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_197,c_153,c_137,c_73,c_192]) ).

tcf(c_344,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_343]) ).

tcf(c_345,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_197,c_153,c_137,c_73,c_170]) ).

tcf(c_347,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_161,c_197,c_153,c_137,c_73,c_161]) ).

tcf(c_349,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_171,c_197,c_153,c_137,c_73,c_171]) ).

tcf(c_350,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_349]) ).

tcf(c_351,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_167,c_197,c_153,c_137,c_73,c_167]) ).

tcf(c_352,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_351]) ).

tcf(c_353,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_166,c_166,c_217]) ).

tcf(c_354,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_353]) ).

tcf(c_355,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_197,c_153,c_137,c_73,c_189]) ).

tcf(c_356,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_355]) ).

tcf(c_357,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_197,c_153,c_137,c_73,c_174]) ).

tcf(c_358,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_357]) ).

tcf(c_1183,plain,
    ( hskp25
    | hskp17
    | ~ c1_1(a42) ),
    inference(resolution,[status(thm)],[c_196,c_136]) ).

tcf(c_1193,plain,
    ( hskp25
    | hskp17
    | c3_1(a42) ),
    inference(resolution,[status(thm)],[c_196,c_135]) ).

tcf(c_1203,plain,
    ( hskp25
    | hskp17
    | c2_1(a42) ),
    inference(resolution,[status(thm)],[c_196,c_134]) ).

tcf(c_1261,plain,
    ( hskp24
    | hskp0
    | ~ c1_1(a53) ),
    inference(resolution,[status(thm)],[c_200,c_144]) ).

tcf(c_1271,plain,
    ( hskp24
    | hskp0
    | ~ c0_1(a53) ),
    inference(resolution,[status(thm)],[c_200,c_143]) ).

tcf(c_1281,plain,
    ( hskp24
    | hskp0
    | c3_1(a53) ),
    inference(resolution,[status(thm)],[c_200,c_142]) ).

tcf(c_2185,plain,
    ( hskp17
    | hskp4
    | ~ c2_1(a15) ),
    inference(resolution,[status(thm)],[c_198,c_84]) ).

tcf(c_2195,plain,
    ( hskp17
    | hskp4
    | ~ c1_1(a15) ),
    inference(resolution,[status(thm)],[c_198,c_83]) ).

tcf(c_2205,plain,
    ( hskp17
    | hskp4
    | c0_1(a15) ),
    inference(resolution,[status(thm)],[c_198,c_82]) ).

tcf(c_2440,plain,
    ( hskp9
    | hskp7
    | ~ c3_1(a22) ),
    inference(resolution,[status(thm)],[c_199,c_104]) ).

tcf(c_2450,plain,
    ( hskp9
    | hskp7
    | ~ c2_1(a22) ),
    inference(resolution,[status(thm)],[c_199,c_103]) ).

tcf(c_2460,plain,
    ( hskp9
    | hskp7
    | ~ c0_1(a22) ),
    inference(resolution,[status(thm)],[c_199,c_102]) ).

tcf(c_2593,plain,
    ( hskp13
    | hskp9
    | ~ c2_1(a14) ),
    inference(resolution,[status(thm)],[c_199,c_80]) ).

tcf(c_2603,plain,
    ( hskp13
    | hskp9
    | c3_1(a14) ),
    inference(resolution,[status(thm)],[c_199,c_79]) ).

tcf(c_2613,plain,
    ( hskp13
    | hskp9
    | c0_1(a14) ),
    inference(resolution,[status(thm)],[c_199,c_78]) ).

tcf(c_2914,plain,
    ( hskp13
    | hskp7
    | ~ c3_1(a16) ),
    inference(resolution,[status(thm)],[c_199,c_88]) ).

tcf(c_2924,plain,
    ( hskp13
    | hskp7
    | ~ c2_1(a16) ),
    inference(resolution,[status(thm)],[c_199,c_87]) ).

tcf(c_2934,plain,
    ( hskp13
    | hskp7
    | c0_1(a16) ),
    inference(resolution,[status(thm)],[c_199,c_86]) ).

tcf(c_3801,plain,
    ( hskp25
    | c2_1(a42)
    | c0_1(a31) ),
    inference(resolution,[status(thm)],[c_1203,c_118]) ).

tcf(c_3831,plain,
    ( hskp25
    | c0_1(a31)
    | c3_1(a42) ),
    inference(resolution,[status(thm)],[c_1193,c_118]) ).

tcf(c_3861,plain,
    ( hskp25
    | c0_1(a31)
    | ~ c1_1(a42) ),
    inference(resolution,[status(thm)],[c_1183,c_118]) ).

tcf(c_3922,plain,
    ( hskp8
    | hskp4
    | ~ c1_1(a31) ),
    inference(resolution,[status(thm)],[c_198,c_120]) ).

tcf(c_3932,plain,
    ( hskp8
    | hskp4
    | c2_1(a31) ),
    inference(resolution,[status(thm)],[c_198,c_119]) ).

tcf(c_3942,plain,
    ( hskp8
    | hskp4
    | c0_1(a31) ),
    inference(resolution,[status(thm)],[c_198,c_118]) ).

tcf(c_9547,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_358]) ).

tcf(c_9548,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_358]) ).

tcf(c_9549,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_358]) ).

tcf(c_9550,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_358]) ).

tcf(c_9551,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_356]) ).

tcf(c_9552,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_356]) ).

tcf(c_9553,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

tcf(c_9554,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_354]) ).

tcf(c_9555,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_354]) ).

tcf(c_9556,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_354]) ).

tcf(c_9557,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_354]) ).

tcf(c_9558,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_352]) ).

tcf(c_9559,negated_conjecture,
    ( iPr_def_18
    | iPr_def_16
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_352]) ).

tcf(c_9560,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_350]) ).

tcf(c_9561,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_350]) ).

tcf(c_9562,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_350]) ).

tcf(c_9563,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_347]) ).

tcf(c_9564,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_347]) ).

tcf(c_9565,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).

tcf(c_9566,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_345]) ).

tcf(c_9567,negated_conjecture,
    ( iPr_def_23
    | iPr_def_19
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_345]) ).

tcf(c_9568,negated_conjecture,
    ( iPr_def_20
    | iPr_def_12
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_344]) ).

tcf(c_9571,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_340]) ).

tcf(c_9572,negated_conjecture,
    ( iPr_def_25
    | iPr_def_17
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_340]) ).

tcf(c_9573,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_338]) ).

tcf(c_9574,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_338]) ).

tcf(c_9575,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_338]) ).

tcf(c_9576,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_336]) ).

tcf(c_9577,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_336]) ).

tcf(c_9578,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_336]) ).

tcf(c_9579,negated_conjecture,
    ( iPr_def_25
    | iPr_def_18
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_334]) ).

tcf(c_9580,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_331]) ).

tcf(c_9581,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_331]) ).

tcf(c_9582,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_331]) ).

tcf(c_9583,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_328]) ).

tcf(c_9584,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_328]) ).

tcf(c_9585,negated_conjecture,
    ( iPr_def_33
    | iPr_def_32
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_328]) ).

tcf(c_9586,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_326]) ).

tcf(c_9587,negated_conjecture,
    ( iPr_def_34
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_326]) ).

tcf(c_9588,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_324]) ).

tcf(c_9589,negated_conjecture,
    ( iPr_def_35
    | iPr_def_21
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_324]) ).

tcf(c_9590,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_322]) ).

tcf(c_9591,negated_conjecture,
    ( iPr_def_36
    | iPr_def_17
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_322]) ).

tcf(c_9592,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_320]) ).

tcf(c_9593,negated_conjecture,
    ( iPr_def_37
    | iPr_def_36
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_320]) ).

tcf(c_9594,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_318]) ).

tcf(c_9595,negated_conjecture,
    ( iPr_def_38
    | iPr_def_30
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_318]) ).

tcf(c_9596,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_316]) ).

tcf(c_9597,negated_conjecture,
    ( iPr_def_39
    | iPr_def_36 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_316]) ).

tcf(c_9598,negated_conjecture,
    ( iPr_def_12
    | hskp10
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_313]) ).

tcf(c_9599,negated_conjecture,
    ( iPr_def_39
    | hskp27
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_310]) ).

tcf(c_9600,negated_conjecture,
    ( iPr_def_39
    | hskp27
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_307]) ).

tcf(c_9601,negated_conjecture,
    ( iPr_def_39
    | hskp9
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_304]) ).

tcf(c_9603,negated_conjecture,
    ( iPr_def_32
    | hskp18
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_298]) ).

tcf(c_9604,negated_conjecture,
    ( iPr_def_20
    | hskp24
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_295]) ).

tcf(c_9605,negated_conjecture,
    ( iPr_def_26
    | hskp26
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_292]) ).

tcf(c_9606,negated_conjecture,
    ( iPr_def_16
    | hskp3
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_288]) ).

tcf(c_9607,negated_conjecture,
    ( iPr_def_10
    | hskp26
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_285]) ).

tcf(c_9608,negated_conjecture,
    ( iPr_def_30
    | hskp14
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_282]) ).

tcf(c_9610,negated_conjecture,
    ( iPr_def_13
    | hskp26
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_276]) ).

tcf(c_9612,plain,
    ( c1_1(a1)
    | c2_1(a1)
    | c0_1(a1)
    | ~ iPr_def_21 ),
    inference(instantiation,[status(thm)],[c_9563]) ).

tcf(c_9621,plain,
    ( c2_1(a1)
    | c0_1(a1)
    | ~ iPr_def_22
    | ~ c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_9564]) ).

tcf(c_9626,plain,
    ( c1_1(a1)
    | c0_1(a1)
    | ~ iPr_def_38
    | ~ c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_9594]) ).

tcf(c_9628,plain,
    ( c2_1(a1)
    | ~ iPr_def_20
    | ~ c1_1(a1)
    | ~ c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_9561]) ).

tcf(c_9629,plain,
    ( c0_1(a1)
    | ~ iPr_def_25
    | ~ c1_1(a1)
    | ~ c3_1(a1) ),
    inference(instantiation,[status(thm)],[c_9571]) ).

tcf(c_9641,plain,
    ( c0_1(a4)
    | c3_1(a4)
    | ~ iPr_def_15
    | ~ c1_1(a4) ),
    inference(instantiation,[status(thm)],[c_9554]) ).

tcf(c_9652,plain,
    ( ~ iPr_def_14
    | ~ c2_1(a31)
    | ~ c0_1(a31)
    | ~ c3_1(a31) ),
    inference(instantiation,[status(thm)],[c_9552]) ).

tcf(c_9653,plain,
    ( ~ iPr_def_14
    | ~ c2_1(a10)
    | ~ c0_1(a10)
    | ~ c3_1(a10) ),
    inference(instantiation,[status(thm)],[c_9552]) ).

tcf(c_9654,plain,
    ( ~ iPr_def_14
    | ~ c2_1(a11)
    | ~ c0_1(a11)
    | ~ c3_1(a11) ),
    inference(instantiation,[status(thm)],[c_9552]) ).

tcf(c_9655,plain,
    ( c1_1(a2)
    | c0_1(a2)
    | c3_1(a2)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_9590]) ).

tcf(c_9659,plain,
    ( c1_1(a19)
    | c0_1(a19)
    | c3_1(a19)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_9590]) ).

tcf(c_9660,plain,
    ( c1_1(a22)
    | c0_1(a22)
    | c3_1(a22)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_9590]) ).

tcf(c_9663,plain,
    ( c2_1(a4)
    | c3_1(a4)
    | ~ iPr_def_11
    | ~ c1_1(a4) ),
    inference(instantiation,[status(thm)],[c_9548]) ).

tcf(c_9664,plain,
    ( c2_1(a16)
    | c3_1(a16)
    | ~ iPr_def_11
    | ~ c1_1(a16) ),
    inference(instantiation,[status(thm)],[c_9548]) ).

tcf(c_9667,plain,
    ( c2_1(a22)
    | c3_1(a22)
    | ~ iPr_def_11
    | ~ c1_1(a22) ),
    inference(instantiation,[status(thm)],[c_9548]) ).

tcf(c_9668,plain,
    ( c2_1(a25)
    | c3_1(a25)
    | ~ iPr_def_11
    | ~ c1_1(a25) ),
    inference(instantiation,[status(thm)],[c_9548]) ).

tcf(c_9674,plain,
    ( c2_1(a22)
    | c0_1(a22)
    | c3_1(a22)
    | ~ iPr_def_19 ),
    inference(instantiation,[status(thm)],[c_9560]) ).

tcf(c_9680,plain,
    ( c1_1(a22)
    | c2_1(a22)
    | c0_1(a22)
    | ~ iPr_def_21 ),
    inference(instantiation,[status(thm)],[c_9563]) ).

tcf(c_9682,plain,
    ( c0_1(a7)
    | ~ iPr_def_39
    | ~ c1_1(a7)
    | ~ c2_1(a7) ),
    inference(instantiation,[status(thm)],[c_9596]) ).

tcf(c_9685,plain,
    ( c0_1(a3)
    | ~ iPr_def_39
    | ~ c1_1(a3)
    | ~ c2_1(a3) ),
    inference(instantiation,[status(thm)],[c_9596]) ).

tcf(c_9690,plain,
    ( hskp7
    | c1_1(a18)
    | c3_1(a18)
    | ~ c2_1(a18) ),
    inference(instantiation,[status(thm)],[c_273]) ).

tcf(c_9694,plain,
    ( c1_1(a5)
    | c2_1(a5)
    | c0_1(a5)
    | ~ iPr_def_21 ),
    inference(instantiation,[status(thm)],[c_9563]) ).

tcf(c_9696,plain,
    ( c2_1(a5)
    | c0_1(a5)
    | c3_1(a5)
    | ~ iPr_def_19 ),
    inference(instantiation,[status(thm)],[c_9560]) ).

tcf(c_9698,plain,
    ( c1_1(a5)
    | c0_1(a5)
    | c3_1(a5)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_9590]) ).

tcf(c_9699,plain,
    ( c0_1(a37)
    | ~ iPr_def_39
    | ~ c1_1(a37)
    | ~ c2_1(a37) ),
    inference(instantiation,[status(thm)],[c_9596]) ).

tcf(c_9700,plain,
    ( c0_1(a37)
    | c3_1(a37)
    | ~ iPr_def_15
    | ~ c1_1(a37) ),
    inference(instantiation,[status(thm)],[c_9554]) ).

tcf(c_9702,plain,
    ( c2_1(a37)
    | c0_1(a37)
    | c3_1(a37)
    | ~ iPr_def_19 ),
    inference(instantiation,[status(thm)],[c_9560]) ).

tcf(c_9706,plain,
    ( c0_1(a30)
    | c3_1(a30)
    | ~ iPr_def_15
    | ~ c1_1(a30) ),
    inference(instantiation,[status(thm)],[c_9554]) ).

tcf(c_9708,plain,
    ( c0_1(a2)
    | c3_1(a2)
    | ~ iPr_def_10
    | ~ c2_1(a2) ),
    inference(instantiation,[status(thm)],[c_9547]) ).

tcf(c_9716,plain,
    ( c0_1(a37)
    | c3_1(a37)
    | ~ iPr_def_10
    | ~ c2_1(a37) ),
    inference(instantiation,[status(thm)],[c_9547]) ).

tcf(c_9727,plain,
    ( c0_1(a6)
    | ~ iPr_def_25
    | ~ c1_1(a6)
    | ~ c3_1(a6) ),
    inference(instantiation,[status(thm)],[c_9571]) ).

tcf(c_9728,plain,
    ( c0_1(a7)
    | ~ iPr_def_25
    | ~ c1_1(a7)
    | ~ c3_1(a7) ),
    inference(instantiation,[status(thm)],[c_9571]) ).

tcf(c_9731,plain,
    ( c0_1(a30)
    | ~ iPr_def_25
    | ~ c1_1(a30)
    | ~ c3_1(a30) ),
    inference(instantiation,[status(thm)],[c_9571]) ).

tcf(c_9733,plain,
    ( c0_1(a3)
    | ~ iPr_def_25
    | ~ c1_1(a3)
    | ~ c3_1(a3) ),
    inference(instantiation,[status(thm)],[c_9571]) ).

tcf(c_9737,plain,
    ( c3_1(a18)
    | ~ iPr_def_26
    | ~ c2_1(a18)
    | ~ c0_1(a18) ),
    inference(instantiation,[status(thm)],[c_9573]) ).

tcf(c_9738,plain,
    ( c3_1(a25)
    | ~ iPr_def_26
    | ~ c2_1(a25)
    | ~ c0_1(a25) ),
    inference(instantiation,[status(thm)],[c_9573]) ).

tcf(c_9739,plain,
    ( c3_1(a31)
    | ~ iPr_def_26
    | ~ c2_1(a31)
    | ~ c0_1(a31) ),
    inference(instantiation,[status(thm)],[c_9573]) ).

tcf(c_9759,plain,
    ( c1_1(a5)
    | c2_1(a5)
    | ~ iPr_def_30
    | ~ c0_1(a5) ),
    inference(instantiation,[status(thm)],[c_9580]) ).

tcf(c_9762,plain,
    ( c1_1(a16)
    | c2_1(a16)
    | ~ iPr_def_30
    | ~ c0_1(a16) ),
    inference(instantiation,[status(thm)],[c_9580]) ).

tcf(c_9774,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a25)
    | ~ c2_1(a25)
    | ~ c0_1(a25) ),
    inference(instantiation,[status(thm)],[c_9549]) ).

tcf(c_9777,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a3)
    | ~ c2_1(a3)
    | ~ c0_1(a3) ),
    inference(instantiation,[status(thm)],[c_9549]) ).

tcf(c_9778,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a11)
    | ~ c2_1(a11)
    | ~ c0_1(a11) ),
    inference(instantiation,[status(thm)],[c_9549]) ).

tcf(c_9786,plain,
    ( c1_1(a5)
    | c3_1(a5)
    | ~ iPr_def_18
    | ~ c0_1(a5) ),
    inference(instantiation,[status(thm)],[c_9558]) ).

tcf(c_9787,plain,
    ( c1_1(a16)
    | c3_1(a16)
    | ~ iPr_def_18
    | ~ c0_1(a16) ),
    inference(instantiation,[status(thm)],[c_9558]) ).

tcf(c_9788,plain,
    ( c1_1(a18)
    | c3_1(a18)
    | ~ iPr_def_18
    | ~ c0_1(a18) ),
    inference(instantiation,[status(thm)],[c_9558]) ).

tcf(c_9789,plain,
    ( c1_1(a19)
    | c3_1(a19)
    | ~ iPr_def_18
    | ~ c0_1(a19) ),
    inference(instantiation,[status(thm)],[c_9558]) ).

tcf(c_9790,plain,
    ( c1_1(a25)
    | c3_1(a25)
    | ~ iPr_def_18
    | ~ c0_1(a25) ),
    inference(instantiation,[status(thm)],[c_9558]) ).

tcf(c_9791,plain,
    ( c1_1(a31)
    | c3_1(a31)
    | ~ iPr_def_18
    | ~ c0_1(a31) ),
    inference(instantiation,[status(thm)],[c_9558]) ).

tcf(c_9797,plain,
    ( c1_1(a31)
    | ~ iPr_def_35
    | ~ c2_1(a31)
    | ~ c0_1(a31) ),
    inference(instantiation,[status(thm)],[c_9588]) ).

tcf(c_9811,plain,
    ( c1_1(a5)
    | c2_1(a5)
    | c3_1(a5)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_9566]) ).

tcf(c_9812,plain,
    ( c1_1(a16)
    | c2_1(a16)
    | c3_1(a16)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_9566]) ).

tcf(c_9826,plain,
    ( c1_1(a31)
    | ~ iPr_def_31
    | ~ c0_1(a31)
    | ~ c3_1(a31) ),
    inference(instantiation,[status(thm)],[c_9581]) ).

tcf(c_9835,plain,
    ( c3_1(a9)
    | ~ iPr_def_26
    | ~ c2_1(a9)
    | ~ c0_1(a9) ),
    inference(instantiation,[status(thm)],[c_9573]) ).

tcf(c_9836,plain,
    ( ~ iPr_def_14
    | ~ c2_1(a9)
    | ~ c0_1(a9)
    | ~ c3_1(a9) ),
    inference(instantiation,[status(thm)],[c_9552]) ).

tcf(c_9837,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a9)
    | ~ c2_1(a9)
    | ~ c0_1(a9) ),
    inference(instantiation,[status(thm)],[c_9549]) ).

tcf(c_9912,plain,
    ( c1_1(a24)
    | ~ iPr_def_17
    | ~ c2_1(a24)
    | ~ c3_1(a24) ),
    inference(instantiation,[status(thm)],[c_9556]) ).

tcf(c_9913,plain,
    ( c1_1(a33)
    | ~ iPr_def_17
    | ~ c2_1(a33)
    | ~ c3_1(a33) ),
    inference(instantiation,[status(thm)],[c_9556]) ).

tcf(c_9918,plain,
    ( c0_1(a24)
    | ~ iPr_def_27
    | ~ c2_1(a24)
    | ~ c3_1(a24) ),
    inference(instantiation,[status(thm)],[c_9574]) ).

tcf(c_9919,plain,
    ( c0_1(a33)
    | ~ iPr_def_27
    | ~ c2_1(a33)
    | ~ c3_1(a33) ),
    inference(instantiation,[status(thm)],[c_9574]) ).

tcf(c_9920,plain,
    ( c0_1(a3)
    | ~ iPr_def_27
    | ~ c2_1(a3)
    | ~ c3_1(a3) ),
    inference(instantiation,[status(thm)],[c_9574]) ).

tcf(c_9924,plain,
    ( c1_1(a24)
    | c3_1(a24)
    | ~ iPr_def_34
    | ~ c2_1(a24) ),
    inference(instantiation,[status(thm)],[c_9586]) ).

tcf(c_9930,plain,
    ( c2_1(a8)
    | ~ iPr_def_32
    | ~ c0_1(a8)
    | ~ c3_1(a8) ),
    inference(instantiation,[status(thm)],[c_9583]) ).

tcf(c_9936,plain,
    ( c2_1(a11)
    | ~ iPr_def_32
    | ~ c0_1(a11)
    | ~ c3_1(a11) ),
    inference(instantiation,[status(thm)],[c_9583]) ).

tcf(c_9952,plain,
    ( c0_1(a2)
    | c3_1(a2)
    | ~ iPr_def_15
    | ~ c1_1(a2) ),
    inference(instantiation,[status(thm)],[c_9554]) ).

tcf(c_9962,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a18)
    | ~ c2_1(a18)
    | ~ c0_1(a18) ),
    inference(instantiation,[status(thm)],[c_9549]) ).

tcf(c_9983,plain,
    ( c0_1(a24)
    | c3_1(a24)
    | ~ iPr_def_10
    | ~ c2_1(a24) ),
    inference(instantiation,[status(thm)],[c_9547]) ).

tcf(c_9987,plain,
    ( c1_1(a24)
    | c0_1(a24)
    | c3_1(a24)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_9590]) ).

tcf(c_9995,plain,
    ( c1_1(a33)
    | c0_1(a33)
    | c3_1(a33)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_9590]) ).

tcf(c_10015,plain,
    ( c1_1(a31)
    | ~ iPr_def_17
    | ~ c2_1(a31)
    | ~ c3_1(a31) ),
    inference(instantiation,[status(thm)],[c_9556]) ).

tcf(c_10016,plain,
    ( c1_1(a42)
    | ~ iPr_def_17
    | ~ c2_1(a42)
    | ~ c3_1(a42) ),
    inference(instantiation,[status(thm)],[c_9556]) ).

tcf(c_10028,plain,
    ( c2_1(a32)
    | c0_1(a32)
    | c3_1(a32)
    | ~ iPr_def_19 ),
    inference(instantiation,[status(thm)],[c_9560]) ).

tcf(c_10030,plain,
    ( c1_1(a32)
    | c0_1(a32)
    | c3_1(a32)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_9590]) ).

tcf(c_10078,plain,
    ( c1_1(a42)
    | c0_1(a42)
    | ~ iPr_def_16
    | ~ c2_1(a42) ),
    inference(instantiation,[status(thm)],[c_9555]) ).

tcf(c_10117,plain,
    ( c2_1(a4)
    | c3_1(a4)
    | ~ iPr_def_13
    | ~ c0_1(a4) ),
    inference(instantiation,[status(thm)],[c_9551]) ).

tcf(c_10118,plain,
    ( c2_1(a5)
    | c3_1(a5)
    | ~ iPr_def_13
    | ~ c0_1(a5) ),
    inference(instantiation,[status(thm)],[c_9551]) ).

tcf(c_10119,plain,
    ( c2_1(a16)
    | c3_1(a16)
    | ~ iPr_def_13
    | ~ c0_1(a16) ),
    inference(instantiation,[status(thm)],[c_9551]) ).

tcf(c_10122,plain,
    ( c2_1(a25)
    | c3_1(a25)
    | ~ iPr_def_13
    | ~ c0_1(a25) ),
    inference(instantiation,[status(thm)],[c_9551]) ).

tcf(c_10141,plain,
    ( c2_1(a8)
    | c3_1(a8)
    | ~ iPr_def_13
    | ~ c0_1(a8) ),
    inference(instantiation,[status(thm)],[c_9551]) ).

tcf(c_10148,plain,
    ( c2_1(a8)
    | c3_1(a8)
    | ~ iPr_def_11
    | ~ c1_1(a8) ),
    inference(instantiation,[status(thm)],[c_9548]) ).

tcf(c_10205,plain,
    ( c0_1(a33)
    | ~ iPr_def_39
    | ~ c1_1(a33)
    | ~ c2_1(a33) ),
    inference(instantiation,[status(thm)],[c_9596]) ).

tcf(c_10257,plain,
    ( ~ iPr_def_14
    | ~ c2_1(a42)
    | ~ c0_1(a42)
    | ~ c3_1(a42) ),
    inference(instantiation,[status(thm)],[c_9552]) ).

tcf(c_10264,plain,
    ( ~ iPr_def_14
    | ~ c2_1(a3)
    | ~ c0_1(a3)
    | ~ c3_1(a3) ),
    inference(instantiation,[status(thm)],[c_9552]) ).

tcf(c_10277,plain,
    ( c2_1(a6)
    | ~ iPr_def_32
    | ~ c0_1(a6)
    | ~ c3_1(a6) ),
    inference(instantiation,[status(thm)],[c_9583]) ).

tcf(c_10287,plain,
    ( c1_1(a53)
    | c0_1(a53)
    | ~ iPr_def_16
    | ~ c2_1(a53) ),
    inference(instantiation,[status(thm)],[c_9555]) ).

tcf(c_10290,plain,
    ( c2_1(a6)
    | ~ iPr_def_20
    | ~ c1_1(a6)
    | ~ c3_1(a6) ),
    inference(instantiation,[status(thm)],[c_9561]) ).

tcf(c_10291,plain,
    ( c2_1(a7)
    | ~ iPr_def_20
    | ~ c1_1(a7)
    | ~ c3_1(a7) ),
    inference(instantiation,[status(thm)],[c_9561]) ).

tcf(c_10298,plain,
    ( c2_1(a30)
    | ~ iPr_def_20
    | ~ c1_1(a30)
    | ~ c3_1(a30) ),
    inference(instantiation,[status(thm)],[c_9561]) ).

tcf(c_10307,plain,
    ( c0_1(a3)
    | c3_1(a3)
    | ~ iPr_def_10
    | ~ c2_1(a3) ),
    inference(instantiation,[status(thm)],[c_9547]) ).

tcf(c_10308,plain,
    ( c0_1(a7)
    | ~ iPr_def_27
    | ~ c2_1(a7)
    | ~ c3_1(a7) ),
    inference(instantiation,[status(thm)],[c_9574]) ).

tcf(c_10335,plain,
    ( c2_1(a14)
    | ~ iPr_def_20
    | ~ c1_1(a14)
    | ~ c3_1(a14) ),
    inference(instantiation,[status(thm)],[c_9561]) ).

tcf(c_10336,plain,
    ( c2_1(a14)
    | ~ iPr_def_32
    | ~ c0_1(a14)
    | ~ c3_1(a14) ),
    inference(instantiation,[status(thm)],[c_9583]) ).

tcf(c_10343,plain,
    ( c1_1(a53)
    | c2_1(a53)
    | c0_1(a53)
    | ~ iPr_def_21 ),
    inference(instantiation,[status(thm)],[c_9563]) ).

tcf(c_10361,plain,
    ( c1_1(a33)
    | c0_1(a33)
    | ~ iPr_def_16
    | ~ c2_1(a33) ),
    inference(instantiation,[status(thm)],[c_9555]) ).

tcf(c_10372,plain,
    ( c1_1(a14)
    | ~ iPr_def_31
    | ~ c0_1(a14)
    | ~ c3_1(a14) ),
    inference(instantiation,[status(thm)],[c_9581]) ).

tcf(c_10375,plain,
    ( c1_1(a14)
    | c2_1(a14)
    | ~ iPr_def_33
    | ~ c3_1(a14) ),
    inference(instantiation,[status(thm)],[c_9584]) ).

tcf(c_10376,plain,
    ( c1_1(a15)
    | ~ iPr_def_31
    | ~ c0_1(a15)
    | ~ c3_1(a15) ),
    inference(instantiation,[status(thm)],[c_9581]) ).

tcf(c_10379,plain,
    ( c1_1(a15)
    | c2_1(a15)
    | ~ iPr_def_33
    | ~ c3_1(a15) ),
    inference(instantiation,[status(thm)],[c_9584]) ).

tcf(c_10395,plain,
    ( c3_1(a16)
    | ~ iPr_def_37
    | ~ c1_1(a16)
    | ~ c0_1(a16) ),
    inference(instantiation,[status(thm)],[c_9592]) ).

tcf(c_10398,plain,
    ( c3_1(a25)
    | ~ iPr_def_37
    | ~ c1_1(a25)
    | ~ c0_1(a25) ),
    inference(instantiation,[status(thm)],[c_9592]) ).

tcf(c_10415,plain,
    ( c1_1(a53)
    | c0_1(a53)
    | ~ iPr_def_38
    | ~ c3_1(a53) ),
    inference(instantiation,[status(thm)],[c_9594]) ).

tcf(c_10421,plain,
    ( c2_1(a33)
    | c0_1(a33)
    | ~ iPr_def_22
    | ~ c3_1(a33) ),
    inference(instantiation,[status(thm)],[c_9564]) ).

tcf(c_10422,plain,
    ( c2_1(a53)
    | c0_1(a53)
    | ~ iPr_def_22
    | ~ c3_1(a53) ),
    inference(instantiation,[status(thm)],[c_9564]) ).

tcf(c_10463,plain,
    ( c2_1(a30)
    | c0_1(a30)
    | c3_1(a30)
    | ~ iPr_def_19 ),
    inference(instantiation,[status(thm)],[c_9560]) ).

tcf(c_10541,plain,
    ( c3_1(a25)
    | ~ iPr_def_29
    | ~ c1_1(a25)
    | ~ c2_1(a25) ),
    inference(instantiation,[status(thm)],[c_9577]) ).

tcf(c_10547,plain,
    ( c1_1(a33)
    | c2_1(a33)
    | c0_1(a33)
    | ~ iPr_def_21 ),
    inference(instantiation,[status(thm)],[c_9563]) ).

tcf(c_10572,plain,
    ( c1_1(a15)
    | c2_1(a15)
    | ~ iPr_def_30
    | ~ c0_1(a15) ),
    inference(instantiation,[status(thm)],[c_9580]) ).

tcf(c_10579,plain,
    ( c1_1(a14)
    | c2_1(a14)
    | ~ iPr_def_30
    | ~ c0_1(a14) ),
    inference(instantiation,[status(thm)],[c_9580]) ).

tcf(c_10593,plain,
    ( c3_1(a18)
    | ~ iPr_def_29
    | ~ c1_1(a18)
    | ~ c2_1(a18) ),
    inference(instantiation,[status(thm)],[c_9577]) ).

tcf(c_10604,plain,
    ( c2_1(a22)
    | c0_1(a22)
    | ~ iPr_def_28
    | ~ c1_1(a22) ),
    inference(instantiation,[status(thm)],[c_9576]) ).

tcf(c_10625,plain,
    ( c2_1(a8)
    | ~ iPr_def_20
    | ~ c1_1(a8)
    | ~ c3_1(a8) ),
    inference(instantiation,[status(thm)],[c_9561]) ).

tcf(c_10632,plain,
    ( c2_1(a11)
    | ~ iPr_def_20
    | ~ c1_1(a11)
    | ~ c3_1(a11) ),
    inference(instantiation,[status(thm)],[c_9561]) ).

tcf(c_10687,plain,
    ( c2_1(a4)
    | c0_1(a4)
    | ~ iPr_def_28
    | ~ c1_1(a4) ),
    inference(instantiation,[status(thm)],[c_9576]) ).

tcf(c_10701,plain,
    ( c1_1(a18)
    | c3_1(a18)
    | ~ iPr_def_34
    | ~ c2_1(a18) ),
    inference(instantiation,[status(thm)],[c_9586]) ).

tcf(c_10703,plain,
    ( c1_1(a31)
    | c3_1(a31)
    | ~ iPr_def_34
    | ~ c2_1(a31) ),
    inference(instantiation,[status(thm)],[c_9586]) ).

tcf(c_10708,plain,
    ( c1_1(a32)
    | c3_1(a32)
    | ~ iPr_def_34
    | ~ c2_1(a32) ),
    inference(instantiation,[status(thm)],[c_9586]) ).

tcf(c_10773,plain,
    ( hskp7
    | c1_1(a2)
    | c3_1(a2)
    | ~ hskp1 ),
    inference(superposition,[status(thm)],[c_54,c_273]) ).

tcf(c_10775,plain,
    ( hskp7
    | c1_1(a19)
    | c3_1(a19)
    | ~ hskp11 ),
    inference(superposition,[status(thm)],[c_94,c_273]) ).

tcf(c_10777,plain,
    ( hskp7
    | c1_1(a31)
    | c3_1(a31)
    | ~ hskp17 ),
    inference(superposition,[status(thm)],[c_119,c_273]) ).

tcf(c_10821,plain,
    ( c2_1(a15)
    | c3_1(a15)
    | ~ iPr_def_13
    | ~ c0_1(a15) ),
    inference(instantiation,[status(thm)],[c_9551]) ).

tcf(c_10864,plain,
    ( c1_1(a24)
    | c0_1(a24)
    | ~ iPr_def_16
    | ~ c2_1(a24) ),
    inference(instantiation,[status(thm)],[c_9555]) ).

tcf(c_10865,plain,
    ( c1_1(a24)
    | c0_1(a24)
    | ~ iPr_def_38
    | ~ c3_1(a24) ),
    inference(instantiation,[status(thm)],[c_9594]) ).

tcf(c_10904,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10864,c_10865,c_10821,c_10773,c_10775,c_10777,c_10708,c_10703,c_10701,c_10687,c_10632,c_10625,c_10604,c_10593,c_10579,c_10572,c_10547,c_10541,c_10463,c_10422,c_10421,c_10415,c_10398,c_10395,c_10376,c_10379,c_10372,c_10375,c_10361,c_10343,c_10335,c_10336,c_10308,c_10307,c_10298,c_10291,c_10290,c_10287,c_10277,c_10264,c_10257,c_10205,c_10141,c_10148,c_10122,c_10119,c_10118,c_10117,c_10078,c_10028,c_10030,c_10016,c_10015,c_9995,c_9983,c_9987,c_9962,c_9952,c_9936,c_9930,c_9924,c_9920,c_9919,c_9918,c_9913,c_9912,c_9837,c_9835,c_9836,c_9826,c_9812,c_9811,c_9797,c_9791,c_9790,c_9789,c_9788,c_9787,c_9786,c_9778,c_9777,c_9774,c_9762,c_9759,c_9739,c_9738,c_9737,c_9733,c_9731,c_9728,c_9727,c_9716,c_9708,c_9706,c_9702,c_9699,c_9700,c_9696,c_9698,c_9694,c_9690,c_9685,c_9682,c_9680,c_9674,c_9668,c_9667,c_9664,c_9663,c_9660,c_9659,c_9655,c_9654,c_9653,c_9652,c_9641,c_9629,c_9628,c_9626,c_9621,c_9612,c_9610,c_9608,c_9607,c_9606,c_9605,c_9604,c_9603,c_9601,c_9600,c_9599,c_9598,c_9595,c_9593,c_9591,c_9589,c_9585,c_9582,c_9579,c_9578,c_9575,c_9572,c_9568,c_9567,c_9565,c_9562,c_9559,c_9557,c_9553,c_9550,c_9597,c_9587,c_3942,c_3932,c_3922,c_3861,c_3831,c_3801,c_2934,c_2924,c_2914,c_2613,c_2603,c_2593,c_2460,c_2450,c_2440,c_2205,c_2195,c_2185,c_1281,c_1271,c_1261,c_1203,c_1193,c_1183,c_51,c_52,c_55,c_56,c_59,c_60,c_62,c_63,c_64,c_68,c_72,c_76,c_80,c_83,c_84,c_87,c_88,c_92,c_95,c_96,c_102,c_103,c_104,c_107,c_108,c_112,c_115,c_116,c_120,c_122,c_123,c_124,c_128,c_131,c_132,c_50,c_54,c_58,c_66,c_67,c_70,c_71,c_74,c_75,c_78,c_79,c_82,c_86,c_90,c_91,c_106,c_110,c_111,c_114,c_118,c_119,c_126,c_127,c_130,c_146,c_147,c_148,c_150,c_151,c_152,c_154,c_155,c_156,c_158,c_159,c_160,c_198,c_199]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN436+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.43  % Computer : n003.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Fri Sep 25 01:12:07 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.43  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.25/0.49  Running first-order theorem proving
% 0.25/0.49  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.51  
% 0.25/0.51  % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.51  
% 0.25/0.51  % Detected problem language: tptp
% 0.25/0.52  % Proving...
% 3.95/1.40  % SZS status Started for theBenchmark.p
% 3.95/1.40  % SZS status Theorem for theBenchmark.p
% 3.95/1.40  
% 3.95/1.40  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.95/1.40  
% 3.95/1.40  % ------  iProver source info
% 3.95/1.40  
% 3.95/1.40  % git: date: 2026-07-19 20:42:38 +0200
% 3.95/1.40  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.95/1.40  % git: non_committed_changes: false
% 3.95/1.40  
% 3.95/1.40  % ------ Parsing...
% 3.95/1.40  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.95/1.40  
% 3.95/1.40  % ------ 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 % 
% 3.95/1.40  
% 3.95/1.40  % ------ Preprocessing... gs_s  sp: 62 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.95/1.40  % ------ Proving...
% 3.95/1.40  % ------ Problem Properties 
% 3.95/1.40  
% 3.95/1.40  % 
% 3.95/1.40  % clauses                               151
% 3.95/1.40  % conjectures                           142
% 3.95/1.40  % EPR                                   151
% 3.95/1.40  % Horn                                  89
% 3.95/1.40  % unary                                 0
% 3.95/1.40  % binary                                77
% 3.95/1.40  % lits                                  407
% 3.95/1.40  % lits eq                               0
% 3.95/1.40  % fd_pure                               0
% 3.95/1.40  % fd_pseudo                             0
% 3.95/1.40  % fd_cond                               0
% 3.95/1.40  % fd_pseudo_cond                        0
% 3.95/1.40  % AC symbols                            0
% 3.95/1.40  
% 3.95/1.40  % ------ Input Options Time Limit: Unbounded
% 3.95/1.40  
% 3.95/1.40  
% 3.95/1.40  % ------ 
% 3.95/1.40  % Current options:
% 3.95/1.40  % ------ 
% 3.95/1.40  
% 3.95/1.40  
% 3.95/1.40  % 
% 3.95/1.40  
% 3.95/1.40  % ------ Proving...
% 3.95/1.40  % 
% 3.95/1.40  
% 3.95/1.40  % SZS status Theorem for theBenchmark.p
% 3.95/1.40  
% 3.95/1.40  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.15/1.41  
% 1.15/1.41  
%------------------------------------------------------------------------------