TSTP Solution File: SYN454+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN454+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:30:49 EDT 2024

% Result   : Theorem 3.95s 0.95s
% Output   : CNFRefutation 3.95s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f188)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp17
        | hskp22
        | hskp15 )
      & ( hskp17
        | hskp22
        | hskp6 )
      & ( hskp11
        | hskp24
        | hskp29 )
      & ( hskp3
        | hskp1
        | hskp14 )
      & ( hskp11
        | hskp12
        | hskp14 )
      & ( hskp21
        | hskp16
        | hskp14 )
      & ( hskp8
        | hskp3
        | hskp20 )
      & ( hskp0
        | hskp29
        | hskp20 )
      & ( hskp2
        | hskp14
        | hskp9 )
      & ( hskp17
        | hskp25
        | hskp18 )
      & ( hskp13
        | hskp19
        | hskp18 )
      & ( hskp16
        | hskp24
        | hskp23 )
      & ( hskp8
        | hskp12
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | ~ c1_1(X82) ) ) )
      & ( hskp22
        | hskp9
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | ~ c1_1(X81) ) ) )
      & ( hskp1
        | hskp26
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | ~ c0_1(X80) ) ) )
      & ( hskp21
        | hskp12
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c1_1(X79)
              | c3_1(X79) ) ) )
      & ( hskp18
        | hskp28
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c1_1(X78)
              | c3_1(X78) ) ) )
      & ( hskp3
        | hskp6
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | c2_1(X77) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c1_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | ~ c0_1(X74)
              | c2_1(X74) ) ) )
      & ( hskp5
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c1_1(X73)
              | c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) ) )
      & ( hskp17
        | hskp1
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c2_1(X71) ) ) )
      & ( hskp5
        | hskp12
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c3_1(X70)
              | c2_1(X70) ) ) )
      & ( hskp10
        | hskp20
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c3_1(X69)
              | c2_1(X69) ) ) )
      & ( hskp8
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c3_1(X67)
              | c2_1(X67) ) ) )
      & ( hskp4
        | hskp6
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp13
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp5
        | hskp19
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp14
        | hskp18
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp17
        | hskp26
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c1_1(X62) ) ) )
      & ( hskp8
        | hskp16
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c0_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp10
        | hskp14
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c0_1(X60)
              | c1_1(X60) ) ) )
      & ( hskp16
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | ~ c0_1(X59)
              | c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) ) )
      & ( hskp10
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | ~ c0_1(X57)
              | c3_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c1_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c0_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | c3_1(X54)
              | c1_1(X54) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c1_1(X53)
              | ~ c0_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | ~ c0_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c2_1(X51)
              | c1_1(X51) ) ) )
      & ( hskp15
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c0_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | c2_1(X49)
              | c1_1(X49) ) ) )
      & ( hskp14
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | c2_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c0_1(X47)
              | c2_1(X47)
              | c1_1(X47) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c1_1(X46)
              | c2_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c2_1(X44)
              | c1_1(X44) ) ) )
      & ( hskp1
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c2_1(X43)
              | c1_1(X43) ) ) )
      & ( hskp3
        | hskp13
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | c2_1(X42)
              | c1_1(X42) ) ) )
      & ( hskp3
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | ~ c0_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c3_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) ) )
      & ( hskp12
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | c3_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c1_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp11
        | hskp26
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp1
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c2_1(X36)
              | ~ c0_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c1_1(X35)
              | c0_1(X35) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c1_1(X34)
              | ~ c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c0_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp10
        | ! [X31] :
            ( ndr1_0
           => ( ~ c2_1(X31)
              | c3_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c2_1(X30)
              | c3_1(X30)
              | c0_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | c3_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | ~ c1_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c3_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c1_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c0_1(X22)
              | c2_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | c3_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp9
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | c3_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp8
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c1_1(X18)
              | ~ c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | c3_1(X16)
              | c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c2_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c2_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp7
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c1_1(X12)
              | c2_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp6
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | c2_1(X11)
              | c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c2_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp5
        | hskp4
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp3
        | hskp2
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c2_1(X7)
              | ~ c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp0
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | ~ c0_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp27
        | hskp26
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c3_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a165)
          & c2_1(a165)
          & c1_1(a165)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a142)
          & c1_1(a142)
          & c0_1(a142)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a95)
          & c2_1(a95)
          & c0_1(a95)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c2_1(a94)
          & c1_1(a94)
          & c0_1(a94)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a159)
          & ~ c1_1(a159)
          & c0_1(a159)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a153)
          & ~ c0_1(a153)
          & c1_1(a153)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a152)
          & c1_1(a152)
          & c0_1(a152)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a149)
          & ~ c0_1(a149)
          & c3_1(a149)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a145)
          & ~ c0_1(a145)
          & c3_1(a145)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a133)
          & c3_1(a133)
          & c0_1(a133)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a127)
          & c2_1(a127)
          & c0_1(a127)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a125)
          & c1_1(a125)
          & c0_1(a125)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a124)
          & ~ c1_1(a124)
          & ~ c0_1(a124)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a118)
          & ~ c2_1(a118)
          & c1_1(a118)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a116)
          & c3_1(a116)
          & c1_1(a116)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a115)
          & ~ c2_1(a115)
          & c0_1(a115)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a112)
          & c3_1(a112)
          & c0_1(a112)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a110)
          & c3_1(a110)
          & c2_1(a110)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a109)
          & ~ c0_1(a109)
          & c2_1(a109)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a106)
          & c3_1(a106)
          & c1_1(a106)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a105)
          & c2_1(a105)
          & c0_1(a105)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a104)
          & ~ c2_1(a104)
          & ~ c0_1(a104)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a103)
          & ~ c1_1(a103)
          & c0_1(a103)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a102)
          & c2_1(a102)
          & c1_1(a102)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a101)
          & ~ c1_1(a101)
          & c3_1(a101)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a100)
          & ~ c0_1(a100)
          & c2_1(a100)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a99)
          & ~ c1_1(a99)
          & c2_1(a99)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a98)
          & ~ c0_1(a98)
          & c1_1(a98)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a97)
          & c3_1(a97)
          & c2_1(a97)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a96)
          & ~ c2_1(a96)
          & ~ c1_1(a96)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp17
          | hskp22
          | hskp15 )
        & ( hskp17
          | hskp22
          | hskp6 )
        & ( hskp11
          | hskp24
          | hskp29 )
        & ( hskp3
          | hskp1
          | hskp14 )
        & ( hskp11
          | hskp12
          | hskp14 )
        & ( hskp21
          | hskp16
          | hskp14 )
        & ( hskp8
          | hskp3
          | hskp20 )
        & ( hskp0
          | hskp29
          | hskp20 )
        & ( hskp2
          | hskp14
          | hskp9 )
        & ( hskp17
          | hskp25
          | hskp18 )
        & ( hskp13
          | hskp19
          | hskp18 )
        & ( hskp16
          | hskp24
          | hskp23 )
        & ( hskp8
          | hskp12
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | ~ c1_1(X82) ) ) )
        & ( hskp22
          | hskp9
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | ~ c1_1(X81) ) ) )
        & ( hskp1
          | hskp26
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | ~ c0_1(X80) ) ) )
        & ( hskp21
          | hskp12
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | c3_1(X79) ) ) )
        & ( hskp18
          | hskp28
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c1_1(X78)
                | c3_1(X78) ) ) )
        & ( hskp3
          | hskp6
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c2_1(X77) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | c2_1(X74) ) ) )
        & ( hskp5
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) ) )
        & ( hskp17
          | hskp1
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c2_1(X71) ) ) )
        & ( hskp5
          | hskp12
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c3_1(X70)
                | c2_1(X70) ) ) )
        & ( hskp10
          | hskp20
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) ) )
        & ( hskp8
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) ) )
        & ( hskp4
          | hskp6
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp13
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp5
          | hskp19
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp14
          | hskp18
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp17
          | hskp26
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c1_1(X62) ) ) )
        & ( hskp8
          | hskp16
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c0_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp10
          | hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c0_1(X60)
                | c1_1(X60) ) ) )
        & ( hskp16
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) ) )
        & ( hskp10
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c0_1(X57)
                | c3_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c1_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c0_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c1_1(X54) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | ~ c0_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp15
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c0_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp14
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c2_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp1
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp3
          | hskp13
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp3
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp12
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c1_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp11
          | hskp26
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp1
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c2_1(X36)
                | ~ c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c0_1(X35) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c0_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp10
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c1_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c3_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp9
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp8
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c1_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c2_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp7
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c2_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp6
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c2_1(X11)
                | c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c2_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp5
          | hskp4
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp3
          | hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp0
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp27
          | hskp26
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c3_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a165)
            & c2_1(a165)
            & c1_1(a165)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a142)
            & c1_1(a142)
            & c0_1(a142)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a95)
            & c2_1(a95)
            & c0_1(a95)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a94)
            & c1_1(a94)
            & c0_1(a94)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a159)
            & ~ c1_1(a159)
            & c0_1(a159)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a153)
            & ~ c0_1(a153)
            & c1_1(a153)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a152)
            & c1_1(a152)
            & c0_1(a152)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a149)
            & ~ c0_1(a149)
            & c3_1(a149)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a145)
            & ~ c0_1(a145)
            & c3_1(a145)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a133)
            & c3_1(a133)
            & c0_1(a133)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a127)
            & c2_1(a127)
            & c0_1(a127)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a125)
            & c1_1(a125)
            & c0_1(a125)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a124)
            & ~ c1_1(a124)
            & ~ c0_1(a124)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a118)
            & ~ c2_1(a118)
            & c1_1(a118)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a116)
            & c3_1(a116)
            & c1_1(a116)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a115)
            & ~ c2_1(a115)
            & c0_1(a115)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a112)
            & c3_1(a112)
            & c0_1(a112)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a110)
            & c3_1(a110)
            & c2_1(a110)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a109)
            & ~ c0_1(a109)
            & c2_1(a109)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a106)
            & c3_1(a106)
            & c1_1(a106)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a105)
            & c2_1(a105)
            & c0_1(a105)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a104)
            & ~ c2_1(a104)
            & ~ c0_1(a104)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a103)
            & ~ c1_1(a103)
            & c0_1(a103)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a102)
            & c2_1(a102)
            & c1_1(a102)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a101)
            & ~ c1_1(a101)
            & c3_1(a101)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a100)
            & ~ c0_1(a100)
            & c2_1(a100)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a99)
            & ~ c1_1(a99)
            & c2_1(a99)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a98)
            & ~ c0_1(a98)
            & c1_1(a98)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a97)
            & c3_1(a97)
            & c2_1(a97)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a96)
            & ~ c2_1(a96)
            & ~ c1_1(a96)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp17
          | hskp22
          | hskp15 )
        & ( hskp17
          | hskp22
          | hskp6 )
        & ( hskp11
          | hskp24
          | hskp29 )
        & ( hskp3
          | hskp1
          | hskp14 )
        & ( hskp11
          | hskp12
          | hskp14 )
        & ( hskp21
          | hskp16
          | hskp14 )
        & ( hskp8
          | hskp3
          | hskp20 )
        & ( hskp0
          | hskp29
          | hskp20 )
        & ( hskp2
          | hskp14
          | hskp9 )
        & ( hskp17
          | hskp25
          | hskp18 )
        & ( hskp13
          | hskp19
          | hskp18 )
        & ( hskp16
          | hskp24
          | hskp23 )
        & ( hskp8
          | hskp12
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp22
          | hskp9
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp1
          | hskp26
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp21
          | hskp12
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp18
          | hskp28
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp3
          | hskp6
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c2_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp5
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c3_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp17
          | hskp1
          | ! [X11] :
              ( ndr1_0
             => ( ~ c0_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp5
          | hskp12
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp10
          | hskp20
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp8
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp4
          | hskp6
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) ) )
        & ( hskp13
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp5
          | hskp19
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp14
          | hskp18
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp17
          | hskp26
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp8
          | hskp16
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp10
          | hskp14
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp16
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c0_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp10
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c0_1(X27)
                | c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | ~ c0_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp15
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp14
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp1
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp3
          | hskp13
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp3
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp12
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp11
          | hskp26
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp1
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp10
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | c3_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c0_1(X60)
                | c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp9
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c3_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp8
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp7
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp6
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp5
          | hskp4
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c1_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp3
          | hskp2
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c1_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp1
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp0
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c1_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp27
          | hskp26
          | ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | c1_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c1_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c1_1(X82)
                | c0_1(X82) ) ) )
        & ( ( c3_1(a165)
            & c2_1(a165)
            & c1_1(a165)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a142)
            & c1_1(a142)
            & c0_1(a142)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a95)
            & c2_1(a95)
            & c0_1(a95)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a94)
            & c1_1(a94)
            & c0_1(a94)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a159)
            & ~ c1_1(a159)
            & c0_1(a159)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a153)
            & ~ c0_1(a153)
            & c1_1(a153)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a152)
            & c1_1(a152)
            & c0_1(a152)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a149)
            & ~ c0_1(a149)
            & c3_1(a149)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a145)
            & ~ c0_1(a145)
            & c3_1(a145)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a133)
            & c3_1(a133)
            & c0_1(a133)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a127)
            & c2_1(a127)
            & c0_1(a127)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a125)
            & c1_1(a125)
            & c0_1(a125)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a124)
            & ~ c1_1(a124)
            & ~ c0_1(a124)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a118)
            & ~ c2_1(a118)
            & c1_1(a118)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a116)
            & c3_1(a116)
            & c1_1(a116)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a115)
            & ~ c2_1(a115)
            & c0_1(a115)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a112)
            & c3_1(a112)
            & c0_1(a112)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a110)
            & c3_1(a110)
            & c2_1(a110)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a109)
            & ~ c0_1(a109)
            & c2_1(a109)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a106)
            & c3_1(a106)
            & c1_1(a106)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a105)
            & c2_1(a105)
            & c0_1(a105)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a104)
            & ~ c2_1(a104)
            & ~ c0_1(a104)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a103)
            & ~ c1_1(a103)
            & c0_1(a103)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a102)
            & c2_1(a102)
            & c1_1(a102)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a101)
            & ~ c1_1(a101)
            & c3_1(a101)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a100)
            & ~ c0_1(a100)
            & c2_1(a100)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a99)
            & ~ c1_1(a99)
            & c2_1(a99)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a98)
            & ~ c0_1(a98)
            & c1_1(a98)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a97)
            & c3_1(a97)
            & c2_1(a97)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a96)
            & ~ c2_1(a96)
            & ~ c1_1(a96)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp17
      | hskp22
      | hskp15 )
    & ( hskp17
      | hskp22
      | hskp6 )
    & ( hskp11
      | hskp24
      | hskp29 )
    & ( hskp3
      | hskp1
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp21
      | hskp16
      | hskp14 )
    & ( hskp8
      | hskp3
      | hskp20 )
    & ( hskp0
      | hskp29
      | hskp20 )
    & ( hskp2
      | hskp14
      | hskp9 )
    & ( hskp17
      | hskp25
      | hskp18 )
    & ( hskp13
      | hskp19
      | hskp18 )
    & ( hskp16
      | hskp24
      | hskp23 )
    & ( hskp8
      | hskp12
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp22
      | hskp9
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp1
      | hskp26
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp21
      | hskp12
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp18
      | hskp28
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp3
      | hskp6
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c2_1(X5) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp5
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | c3_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp17
      | hskp1
      | ! [X11] :
          ( ndr1_0
         => ( ~ c0_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp5
      | hskp12
      | ! [X12] :
          ( ndr1_0
         => ( ~ c0_1(X12)
            | c3_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp10
      | hskp20
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp8
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | ~ c0_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp4
      | hskp6
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | c1_1(X16) ) ) )
    & ( hskp13
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp5
      | hskp19
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp14
      | hskp18
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp17
      | hskp26
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp8
      | hskp16
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp10
      | hskp14
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp16
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | ~ c0_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp10
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c0_1(X27)
            | c1_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c1_1(X29)
            | ~ c0_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | ~ c0_1(X30)
            | c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp15
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp14
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c1_1(X36)
            | c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp1
      | ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp3
      | hskp13
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp3
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp12
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | c3_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c1_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp11
      | hskp26
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp1
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | ~ c0_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c1_1(X47)
            | c0_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | ~ c0_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c0_1(X49)
            | c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp10
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c3_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c1_1(X53)
            | c3_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c3_1(X54)
            | c2_1(X54)
            | c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | c3_1(X58)
            | c0_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c0_1(X60)
            | c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp9
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | c3_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp8
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | ~ c0_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c3_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c2_1(X67)
            | c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp7
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | c0_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp6
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp5
      | hskp4
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c1_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp3
      | hskp2
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c1_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp1
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | ~ c0_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | c1_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp0
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | ~ c0_1(X77)
            | c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | c1_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp27
      | hskp26
      | ! [X79] :
          ( ndr1_0
         => ( c2_1(X79)
            | c1_1(X79)
            | c0_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | c3_1(X80)
            | c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c1_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | c1_1(X82)
            | c0_1(X82) ) ) )
    & ( ( c3_1(a165)
        & c2_1(a165)
        & c1_1(a165)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a142)
        & c1_1(a142)
        & c0_1(a142)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a95)
        & c2_1(a95)
        & c0_1(a95)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a94)
        & c1_1(a94)
        & c0_1(a94)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a159)
        & ~ c1_1(a159)
        & c0_1(a159)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a153)
        & ~ c0_1(a153)
        & c1_1(a153)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a152)
        & c1_1(a152)
        & c0_1(a152)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a149)
        & ~ c0_1(a149)
        & c3_1(a149)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a145)
        & ~ c0_1(a145)
        & c3_1(a145)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a133)
        & c3_1(a133)
        & c0_1(a133)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a127)
        & c2_1(a127)
        & c0_1(a127)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a125)
        & c1_1(a125)
        & c0_1(a125)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a124)
        & ~ c1_1(a124)
        & ~ c0_1(a124)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a118)
        & ~ c2_1(a118)
        & c1_1(a118)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a116)
        & c3_1(a116)
        & c1_1(a116)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a115)
        & ~ c2_1(a115)
        & c0_1(a115)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a112)
        & c3_1(a112)
        & c0_1(a112)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a110)
        & c3_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a109)
        & ~ c0_1(a109)
        & c2_1(a109)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a106)
        & c3_1(a106)
        & c1_1(a106)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a105)
        & c2_1(a105)
        & c0_1(a105)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a104)
        & ~ c2_1(a104)
        & ~ c0_1(a104)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a103)
        & ~ c1_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a102)
        & c2_1(a102)
        & c1_1(a102)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a101)
        & ~ c1_1(a101)
        & c3_1(a101)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a100)
        & ~ c0_1(a100)
        & c2_1(a100)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a99)
        & ~ c1_1(a99)
        & c2_1(a99)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a98)
        & ~ c0_1(a98)
        & c1_1(a98)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a97)
        & c3_1(a97)
        & c2_1(a97)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a96)
        & ~ c2_1(a96)
        & ~ c1_1(a96)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp17
      | hskp22
      | hskp15 )
    & ( hskp17
      | hskp22
      | hskp6 )
    & ( hskp11
      | hskp24
      | hskp29 )
    & ( hskp3
      | hskp1
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp21
      | hskp16
      | hskp14 )
    & ( hskp8
      | hskp3
      | hskp20 )
    & ( hskp0
      | hskp29
      | hskp20 )
    & ( hskp2
      | hskp14
      | hskp9 )
    & ( hskp17
      | hskp25
      | hskp18 )
    & ( hskp13
      | hskp19
      | hskp18 )
    & ( hskp16
      | hskp24
      | hskp23 )
    & ( hskp8
      | hskp12
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp9
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp26
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp12
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp28
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp6
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp1
      | ! [X11] :
          ( ~ c0_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp12
      | ! [X12] :
          ( ~ c0_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp20
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp19
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp18
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp26
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp16
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c1_1(X30)
          | ~ c0_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c1_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp13
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X43] :
          ( ~ c0_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp26
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c0_1(X49)
          | c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c1_1(X53)
          | c3_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c3_1(X54)
          | c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c0_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X62] :
          ( ~ c0_1(X62)
          | c3_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c3_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | ~ c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X71] :
          ( ~ c1_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X74] :
          ( ~ c3_1(X74)
          | c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c2_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X77] :
          ( ~ c1_1(X77)
          | ~ c0_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X79] :
          ( c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c2_1(X80)
          | c3_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | ~ c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c2_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a165)
        & c2_1(a165)
        & c1_1(a165)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a142)
        & c1_1(a142)
        & c0_1(a142)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a95)
        & c2_1(a95)
        & c0_1(a95)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a94)
        & c1_1(a94)
        & c0_1(a94)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a159)
        & ~ c1_1(a159)
        & c0_1(a159)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a153)
        & ~ c0_1(a153)
        & c1_1(a153)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a152)
        & c1_1(a152)
        & c0_1(a152)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a149)
        & ~ c0_1(a149)
        & c3_1(a149)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a145)
        & ~ c0_1(a145)
        & c3_1(a145)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a133)
        & c3_1(a133)
        & c0_1(a133)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a127)
        & c2_1(a127)
        & c0_1(a127)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a125)
        & c1_1(a125)
        & c0_1(a125)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a124)
        & ~ c1_1(a124)
        & ~ c0_1(a124)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a118)
        & ~ c2_1(a118)
        & c1_1(a118)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a116)
        & c3_1(a116)
        & c1_1(a116)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a115)
        & ~ c2_1(a115)
        & c0_1(a115)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a112)
        & c3_1(a112)
        & c0_1(a112)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a110)
        & c3_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a109)
        & ~ c0_1(a109)
        & c2_1(a109)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a106)
        & c3_1(a106)
        & c1_1(a106)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a105)
        & c2_1(a105)
        & c0_1(a105)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a104)
        & ~ c2_1(a104)
        & ~ c0_1(a104)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a103)
        & ~ c1_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a102)
        & c2_1(a102)
        & c1_1(a102)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a101)
        & ~ c1_1(a101)
        & c3_1(a101)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a100)
        & ~ c0_1(a100)
        & c2_1(a100)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a99)
        & ~ c1_1(a99)
        & c2_1(a99)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a98)
        & ~ c0_1(a98)
        & c1_1(a98)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a97)
        & c3_1(a97)
        & c2_1(a97)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a96)
        & ~ c2_1(a96)
        & ~ c1_1(a96)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp17
      | hskp22
      | hskp15 )
    & ( hskp17
      | hskp22
      | hskp6 )
    & ( hskp11
      | hskp24
      | hskp29 )
    & ( hskp3
      | hskp1
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp21
      | hskp16
      | hskp14 )
    & ( hskp8
      | hskp3
      | hskp20 )
    & ( hskp0
      | hskp29
      | hskp20 )
    & ( hskp2
      | hskp14
      | hskp9 )
    & ( hskp17
      | hskp25
      | hskp18 )
    & ( hskp13
      | hskp19
      | hskp18 )
    & ( hskp16
      | hskp24
      | hskp23 )
    & ( hskp8
      | hskp12
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp9
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp26
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp12
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp28
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp6
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | c3_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp1
      | ! [X11] :
          ( ~ c0_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp12
      | ! [X12] :
          ( ~ c0_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp20
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp19
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp18
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp26
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp16
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X23] :
          ( ~ c1_1(X23)
          | ~ c0_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c1_1(X30)
          | ~ c0_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c3_1(X36)
          | ~ c1_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp13
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X43] :
          ( ~ c0_1(X43)
          | c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp26
      | ! [X45] :
          ( ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c0_1(X49)
          | c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c1_1(X53)
          | c3_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c3_1(X54)
          | c2_1(X54)
          | c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c1_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c0_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X62] :
          ( ~ c0_1(X62)
          | c3_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c3_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | ~ c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X71] :
          ( ~ c1_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | c1_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X74] :
          ( ~ c3_1(X74)
          | c1_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c2_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X77] :
          ( ~ c1_1(X77)
          | ~ c0_1(X77)
          | c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp26
      | ! [X79] :
          ( c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c2_1(X80)
          | c3_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | ~ c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c2_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a165)
        & c2_1(a165)
        & c1_1(a165)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a142)
        & c1_1(a142)
        & c0_1(a142)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a95)
        & c2_1(a95)
        & c0_1(a95)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a94)
        & c1_1(a94)
        & c0_1(a94)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a159)
        & ~ c1_1(a159)
        & c0_1(a159)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a153)
        & ~ c0_1(a153)
        & c1_1(a153)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a152)
        & c1_1(a152)
        & c0_1(a152)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a149)
        & ~ c0_1(a149)
        & c3_1(a149)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a145)
        & ~ c0_1(a145)
        & c3_1(a145)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a133)
        & c3_1(a133)
        & c0_1(a133)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a127)
        & c2_1(a127)
        & c0_1(a127)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a125)
        & c1_1(a125)
        & c0_1(a125)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a124)
        & ~ c1_1(a124)
        & ~ c0_1(a124)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a118)
        & ~ c2_1(a118)
        & c1_1(a118)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a116)
        & c3_1(a116)
        & c1_1(a116)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a115)
        & ~ c2_1(a115)
        & c0_1(a115)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a112)
        & c3_1(a112)
        & c0_1(a112)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a110)
        & c3_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a109)
        & ~ c0_1(a109)
        & c2_1(a109)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a106)
        & c3_1(a106)
        & c1_1(a106)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a105)
        & c2_1(a105)
        & c0_1(a105)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a104)
        & ~ c2_1(a104)
        & ~ c0_1(a104)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a103)
        & ~ c1_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a102)
        & c2_1(a102)
        & c1_1(a102)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a101)
        & ~ c1_1(a101)
        & c3_1(a101)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a100)
        & ~ c0_1(a100)
        & c2_1(a100)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a99)
        & ~ c1_1(a99)
        & c2_1(a99)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a98)
        & ~ c0_1(a98)
        & c1_1(a98)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a97)
        & c3_1(a97)
        & c2_1(a97)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a96)
        & ~ c2_1(a96)
        & ~ c1_1(a96)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( ~ c1_1(a96)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( ~ c2_1(a96)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c3_1(a96)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

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

fof(f12,plain,
    ( c2_1(a97)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( c3_1(a97)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c1_1(a97)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c1_1(a98)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c0_1(a98)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c3_1(a98)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f19,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c2_1(a99)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( ~ c1_1(a99)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c3_1(a99)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c3_1(a101)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c1_1(a101)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c2_1(a101)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c1_1(a102)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( c2_1(a102)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c3_1(a102)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c0_1(a103)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( ~ c1_1(a103)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c3_1(a103)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c0_1(a105)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( c2_1(a105)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c1_1(a105)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c1_1(a106)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( c3_1(a106)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c2_1(a106)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c2_1(a109)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( ~ c0_1(a109)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c3_1(a109)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c2_1(a110)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( c3_1(a110)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c0_1(a110)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c0_1(a112)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( c3_1(a112)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c1_1(a112)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f63,plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c0_1(a115)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( ~ c2_1(a115)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c3_1(a115)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( c1_1(a116)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( c3_1(a116)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c0_1(a116)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( c1_1(a118)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( ~ c2_1(a118)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f74,plain,
    ( ~ c3_1(a118)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f80,plain,
    ( c0_1(a125)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f81,plain,
    ( c1_1(a125)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f82,plain,
    ( ~ c3_1(a125)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c0_1(a127)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( c2_1(a127)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c3_1(a127)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( c0_1(a133)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( c3_1(a133)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c2_1(a133)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f112,plain,
    ( c0_1(a94)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f113,plain,
    ( c1_1(a94)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f114,plain,
    ( c2_1(a94)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f124,plain,
    ( c1_1(a165)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f125,plain,
    ( c2_1(a165)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f126,plain,
    ( c3_1(a165)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f131,plain,
    ! [X74] :
      ( hskp3
      | hskp2
      | ~ c3_1(X74)
      | c1_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f132,plain,
    ! [X73] :
      ( hskp5
      | hskp4
      | ~ c3_1(X73)
      | c1_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f144,plain,
    ! [X45] :
      ( hskp11
      | hskp26
      | ~ c2_1(X45)
      | ~ c1_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f147,plain,
    ! [X40] :
      ( hskp3
      | hskp13
      | c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f156,plain,
    ! [X22] :
      ( hskp10
      | hskp14
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f159,plain,
    ! [X19] :
      ( hskp14
      | hskp18
      | ~ c3_1(X19)
      | ~ c2_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f161,plain,
    ! [X17] :
      ( hskp13
      | ~ c3_1(X17)
      | ~ c2_1(X17)
      | c1_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f162,plain,
    ! [X16] :
      ( hskp4
      | hskp6
      | ~ c3_1(X16)
      | ~ c2_1(X16)
      | c1_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f164,plain,
    ! [X13] :
      ( hskp10
      | hskp20
      | ~ c0_1(X13)
      | c3_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f165,plain,
    ! [X12] :
      ( hskp5
      | hskp12
      | ~ c0_1(X12)
      | c3_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f169,plain,
    ! [X5] :
      ( hskp3
      | hskp6
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f176,plain,
    ( hskp13
    | hskp19
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f178,plain,
    ( hskp2
    | hskp14
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f179,plain,
    ( hskp0
    | hskp29
    | hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f182,plain,
    ( hskp11
    | hskp12
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f183,plain,
    ( hskp3
    | hskp1
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_52,negated_conjecture,
    ( hskp3
    | hskp1
    | hskp14 ),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_53,negated_conjecture,
    ( hskp11
    | hskp14
    | hskp12 ),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_56,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp0 ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_57,negated_conjecture,
    ( hskp14
    | hskp2
    | hskp9 ),
    inference(cnf_transformation,[],[f178]) ).

cnf(c_59,negated_conjecture,
    ( hskp18
    | hskp13
    | hskp19 ),
    inference(cnf_transformation,[],[f176]) ).

cnf(c_66,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp6
    | hskp3 ),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_67,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2) ),
    inference(cnf_transformation,[],[f187]) ).

cnf(c_68,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_70,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp12
    | hskp5 ),
    inference(cnf_transformation,[],[f165]) ).

cnf(c_71,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp20
    | hskp10 ),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_72,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp8 ),
    inference(cnf_transformation,[],[f189]) ).

cnf(c_73,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp6
    | hskp4 ),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_74,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp13 ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_76,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp14
    | hskp18 ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_79,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp14
    | hskp10 ),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_80,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | hskp16 ),
    inference(cnf_transformation,[],[f190]) ).

cnf(c_82,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_83,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_84,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_86,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_88,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp3
    | hskp13 ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp3 ),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_90,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp12 ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_91,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp11
    | hskp26 ),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_93,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_94,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_95,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

cnf(c_96,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_97,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f204]) ).

cnf(c_98,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(cnf_transformation,[],[f205]) ).

cnf(c_100,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_101,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp5
    | hskp4 ),
    inference(cnf_transformation,[],[f132]) ).

cnf(c_104,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c0_1(X0)
    | hskp3
    | hskp2 ),
    inference(cnf_transformation,[],[f131]) ).

cnf(c_106,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_108,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_109,negated_conjecture,
    ( ~ hskp29
    | c3_1(a165) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_110,negated_conjecture,
    ( ~ hskp29
    | c2_1(a165) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_111,negated_conjecture,
    ( ~ hskp29
    | c1_1(a165) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp26
    | c2_1(a94) ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp26
    | c1_1(a94) ),
    inference(cnf_transformation,[],[f113]) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp26
    | c0_1(a94) ),
    inference(cnf_transformation,[],[f112]) ).

cnf(c_145,negated_conjecture,
    ( ~ c2_1(a133)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_146,negated_conjecture,
    ( ~ hskp20
    | c3_1(a133) ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_147,negated_conjecture,
    ( ~ hskp20
    | c0_1(a133) ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_149,negated_conjecture,
    ( ~ c3_1(a127)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_150,negated_conjecture,
    ( ~ hskp19
    | c2_1(a127) ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_151,negated_conjecture,
    ( ~ hskp19
    | c0_1(a127) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_153,negated_conjecture,
    ( ~ c3_1(a125)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_154,negated_conjecture,
    ( ~ hskp18
    | c1_1(a125) ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_155,negated_conjecture,
    ( ~ hskp18
    | c0_1(a125) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_161,negated_conjecture,
    ( ~ c3_1(a118)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_162,negated_conjecture,
    ( ~ c2_1(a118)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_163,negated_conjecture,
    ( ~ hskp16
    | c1_1(a118) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_165,negated_conjecture,
    ( ~ c0_1(a116)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_166,negated_conjecture,
    ( ~ hskp15
    | c3_1(a116) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_167,negated_conjecture,
    ( ~ hskp15
    | c1_1(a116) ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_169,negated_conjecture,
    ( ~ c3_1(a115)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_170,negated_conjecture,
    ( ~ c2_1(a115)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp14
    | c0_1(a115) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_172,negated_conjecture,
    ( ~ hskp14
    | ndr1_0 ),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_173,negated_conjecture,
    ( ~ c1_1(a112)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_174,negated_conjecture,
    ( ~ hskp13
    | c3_1(a112) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp13
    | c0_1(a112) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_177,negated_conjecture,
    ( ~ c0_1(a110)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_178,negated_conjecture,
    ( ~ hskp12
    | c3_1(a110) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp12
    | c2_1(a110) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_181,negated_conjecture,
    ( ~ c3_1(a109)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_182,negated_conjecture,
    ( ~ c0_1(a109)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp11
    | c2_1(a109) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_185,negated_conjecture,
    ( ~ c2_1(a106)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_186,negated_conjecture,
    ( ~ hskp10
    | c3_1(a106) ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_187,negated_conjecture,
    ( ~ hskp10
    | c1_1(a106) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_189,negated_conjecture,
    ( ~ c1_1(a105)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_190,negated_conjecture,
    ( ~ hskp9
    | c2_1(a105) ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp9
    | c0_1(a105) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_197,negated_conjecture,
    ( ~ c3_1(a103)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_198,negated_conjecture,
    ( ~ c1_1(a103)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp7
    | c0_1(a103) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_201,negated_conjecture,
    ( ~ c3_1(a102)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_202,negated_conjecture,
    ( ~ hskp6
    | c2_1(a102) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp6
    | c1_1(a102) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_205,negated_conjecture,
    ( ~ c2_1(a101)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_206,negated_conjecture,
    ( ~ c1_1(a101)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp5
    | c3_1(a101) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_213,negated_conjecture,
    ( ~ c3_1(a99)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_214,negated_conjecture,
    ( ~ c1_1(a99)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_215,negated_conjecture,
    ( ~ hskp3
    | c2_1(a99) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_216,negated_conjecture,
    ( ~ hskp3
    | ndr1_0 ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_217,negated_conjecture,
    ( ~ c3_1(a98)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_218,negated_conjecture,
    ( ~ c0_1(a98)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_219,negated_conjecture,
    ( ~ hskp2
    | c1_1(a98) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_221,negated_conjecture,
    ( ~ c1_1(a97)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_222,negated_conjecture,
    ( ~ hskp1
    | c3_1(a97) ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp1
    | c2_1(a97) ),
    inference(cnf_transformation,[],[f12]) ).

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

cnf(c_225,negated_conjecture,
    ( ~ c3_1(a96)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_226,negated_conjecture,
    ( ~ c2_1(a96)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_227,negated_conjecture,
    ( ~ c1_1(a96)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f8]) ).

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

cnf(c_257,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_228,c_224,c_216,c_172,c_52]) ).

cnf(c_323,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp3
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_224,c_216,c_172,c_52,c_88]) ).

cnf(c_326,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp3
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_104,c_224,c_216,c_172,c_52,c_104]) ).

cnf(c_329,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | hskp5
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_224,c_216,c_172,c_52,c_103]) ).

cnf(c_332,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_224,c_216,c_172,c_52,c_74]) ).

cnf(c_333,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_332]) ).

cnf(c_335,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp20
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_71,c_224,c_216,c_172,c_52,c_71]) ).

cnf(c_338,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp12
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_224,c_216,c_172,c_52,c_70]) ).

cnf(c_344,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp11
    | hskp26 ),
    inference(global_subsumption_just,[status(thm)],[c_91,c_224,c_216,c_172,c_52,c_91]) ).

cnf(c_345,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp11
    | hskp26 ),
    inference(renaming,[status(thm)],[c_344]) ).

cnf(c_347,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_79,c_224,c_216,c_172,c_52,c_79]) ).

cnf(c_348,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp10 ),
    inference(renaming,[status(thm)],[c_347]) ).

cnf(c_356,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_224,c_216,c_172,c_52,c_76]) ).

cnf(c_357,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp18 ),
    inference(renaming,[status(thm)],[c_356]) ).

cnf(c_362,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp6
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_73,c_224,c_216,c_172,c_52,c_73]) ).

cnf(c_363,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp6
    | hskp4 ),
    inference(renaming,[status(thm)],[c_362]) ).

cnf(c_365,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp6
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_224,c_216,c_172,c_52,c_66]) ).

cnf(c_366,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp6
    | hskp3 ),
    inference(renaming,[status(thm)],[c_365]) ).

cnf(c_386,plain,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_224,c_216,c_172,c_52,c_106]) ).

cnf(c_387,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_386]) ).

cnf(c_388,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_224,c_216,c_172,c_52,c_98]) ).

cnf(c_389,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_388]) ).

cnf(c_390,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_224,c_216,c_172,c_52,c_94]) ).

cnf(c_391,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c0_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_390]) ).

cnf(c_396,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_82,c_224,c_216,c_172,c_52,c_82]) ).

cnf(c_397,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_396]) ).

cnf(c_399,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_224,c_216,c_172,c_52,c_101]) ).

cnf(c_400,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_399]) ).

cnf(c_401,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_90,c_224,c_216,c_172,c_52,c_90]) ).

cnf(c_402,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_401]) ).

cnf(c_403,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_89,c_224,c_216,c_172,c_52,c_89]) ).

cnf(c_404,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_403]) ).

cnf(c_405,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_224,c_216,c_172,c_52,c_84]) ).

cnf(c_406,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_405]) ).

cnf(c_410,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_68,c_257]) ).

cnf(c_411,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_410]) ).

cnf(c_416,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_224,c_216,c_172,c_52,c_80]) ).

cnf(c_417,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_416]) ).

cnf(c_418,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_224,c_216,c_172,c_52,c_72]) ).

cnf(c_419,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_418]) ).

cnf(c_422,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_224,c_216,c_172,c_52,c_95]) ).

cnf(c_423,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(X0) ),
    inference(renaming,[status(thm)],[c_422]) ).

cnf(c_424,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_108,c_224,c_216,c_172,c_52,c_108]) ).

cnf(c_425,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_424]) ).

cnf(c_426,plain,
    ( ~ c0_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_224,c_216,c_172,c_52,c_100]) ).

cnf(c_427,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_426]) ).

cnf(c_428,plain,
    ( ~ c0_1(X2)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_224,c_216,c_172,c_52,c_86]) ).

cnf(c_429,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_430,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_224,c_216,c_172,c_52,c_97]) ).

cnf(c_431,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_430]) ).

cnf(c_432,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_224,c_216,c_172,c_52,c_96]) ).

cnf(c_433,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_432]) ).

cnf(c_434,plain,
    ( c2_1(X2)
    | c2_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_224,c_216,c_172,c_52,c_83,c_67]) ).

cnf(c_435,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_434]) ).

cnf(c_437,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_224,c_216,c_172,c_52,c_93]) ).

cnf(c_438,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_437]) ).

cnf(c_439,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c1_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_435]) ).

cnf(c_440,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_439]) ).

cnf(c_1663,plain,
    ( c1_1(a165)
    | hskp20
    | hskp0 ),
    inference(resolution,[status(thm)],[c_56,c_111]) ).

cnf(c_1673,plain,
    ( c2_1(a165)
    | hskp20
    | hskp0 ),
    inference(resolution,[status(thm)],[c_56,c_110]) ).

cnf(c_1683,plain,
    ( c3_1(a165)
    | hskp20
    | hskp0 ),
    inference(resolution,[status(thm)],[c_56,c_109]) ).

cnf(c_2089,plain,
    ( c0_1(a127)
    | hskp18
    | hskp13 ),
    inference(resolution,[status(thm)],[c_59,c_151]) ).

cnf(c_2099,plain,
    ( c2_1(a127)
    | hskp18
    | hskp13 ),
    inference(resolution,[status(thm)],[c_59,c_150]) ).

cnf(c_2109,plain,
    ( ~ c3_1(a127)
    | hskp18
    | hskp13 ),
    inference(resolution,[status(thm)],[c_59,c_149]) ).

cnf(c_2721,plain,
    ( c2_1(a109)
    | hskp14
    | hskp12 ),
    inference(resolution,[status(thm)],[c_53,c_183]) ).

cnf(c_2731,plain,
    ( ~ c0_1(a109)
    | hskp14
    | hskp12 ),
    inference(resolution,[status(thm)],[c_53,c_182]) ).

cnf(c_2741,plain,
    ( ~ c3_1(a109)
    | hskp14
    | hskp12 ),
    inference(resolution,[status(thm)],[c_53,c_181]) ).

cnf(c_3390,plain,
    ( c0_1(a105)
    | hskp14
    | hskp2 ),
    inference(resolution,[status(thm)],[c_57,c_191]) ).

cnf(c_3400,plain,
    ( c2_1(a105)
    | hskp14
    | hskp2 ),
    inference(resolution,[status(thm)],[c_57,c_190]) ).

cnf(c_3410,plain,
    ( ~ c1_1(a105)
    | hskp14
    | hskp2 ),
    inference(resolution,[status(thm)],[c_57,c_189]) ).

cnf(c_4764,plain,
    ( c2_1(a97)
    | hskp3
    | hskp14 ),
    inference(resolution,[status(thm)],[c_52,c_223]) ).

cnf(c_4774,plain,
    ( c3_1(a97)
    | hskp3
    | hskp14 ),
    inference(resolution,[status(thm)],[c_52,c_222]) ).

cnf(c_4784,plain,
    ( ~ c1_1(a97)
    | hskp3
    | hskp14 ),
    inference(resolution,[status(thm)],[c_52,c_221]) ).

cnf(c_13781,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_438]) ).

cnf(c_13782,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_438]) ).

cnf(c_13783,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_438]) ).

cnf(c_13784,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

cnf(c_13785,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_440]) ).

cnf(c_13786,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_440]) ).

cnf(c_13787,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_440]) ).

cnf(c_13788,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

cnf(c_13789,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_433]) ).

cnf(c_13790,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_433]) ).

cnf(c_13791,negated_conjecture,
    ( sP1_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

cnf(c_13792,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_431]) ).

cnf(c_13793,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_431]) ).

cnf(c_13794,negated_conjecture,
    ( sP2_iProver_def
    | sP8_iProver_def
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

cnf(c_13795,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_429]) ).

cnf(c_13796,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_429]) ).

cnf(c_13797,negated_conjecture,
    ( sP9_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_13798,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_427]) ).

cnf(c_13799,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_427]) ).

cnf(c_13800,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_427]) ).

cnf(c_13801,negated_conjecture,
    ( sP12_iProver_def
    | sP13_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

cnf(c_13802,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_def])],[c_425]) ).

cnf(c_13803,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c2_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_425]) ).

cnf(c_13804,negated_conjecture,
    ( sP7_iProver_def
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_425]) ).

cnf(c_13805,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_423]) ).

cnf(c_13806,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_423]) ).

cnf(c_13808,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_419]) ).

cnf(c_13809,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_419]) ).

cnf(c_13811,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_417]) ).

cnf(c_13812,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_417]) ).

cnf(c_13813,negated_conjecture,
    ( hskp16
    | sP21_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

cnf(c_13817,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_411]) ).

cnf(c_13818,negated_conjecture,
    ( hskp5
    | sP17_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

cnf(c_13820,negated_conjecture,
    ( hskp15
    | sP2_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_406]) ).

cnf(c_13821,negated_conjecture,
    ( hskp3
    | sP18_iProver_def
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).

cnf(c_13822,negated_conjecture,
    ( hskp12
    | sP7_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

cnf(c_13823,negated_conjecture,
    ( c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_400]) ).

cnf(c_13824,negated_conjecture,
    ( hskp7
    | sP14_iProver_def
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_400]) ).

cnf(c_13825,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_def])],[c_397]) ).

cnf(c_13826,negated_conjecture,
    ( sP12_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_397]) ).

cnf(c_13828,negated_conjecture,
    ( hskp10
    | sP6_iProver_def
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_391]) ).

cnf(c_13829,negated_conjecture,
    ( hskp9
    | sP8_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

cnf(c_13830,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | ~ sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_def])],[c_387]) ).

cnf(c_13831,negated_conjecture,
    ( hskp0
    | sP4_iProver_def
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

cnf(c_13840,negated_conjecture,
    ( hskp6
    | hskp3
    | sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_366]) ).

cnf(c_13841,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_def])],[c_363]) ).

cnf(c_13844,negated_conjecture,
    ( hskp14
    | hskp18
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_357]) ).

cnf(c_13847,negated_conjecture,
    ( hskp14
    | hskp10
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_348]) ).

cnf(c_13848,negated_conjecture,
    ( hskp11
    | hskp26
    | sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_345]) ).

cnf(c_13850,negated_conjecture,
    ( hskp12
    | hskp5
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_338]) ).

cnf(c_13851,negated_conjecture,
    ( hskp20
    | hskp10
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_335]) ).

cnf(c_13852,negated_conjecture,
    ( c0_1(X0)
    | c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP31_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP31_iProver_def])],[c_329]) ).

cnf(c_13854,negated_conjecture,
    ( hskp3
    | hskp2
    | sP31_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_326]) ).

cnf(c_13855,negated_conjecture,
    ( hskp3
    | hskp13
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_323]) ).

cnf(c_13857,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_13784]) ).

cnf(c_13860,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_13781]) ).

cnf(c_13861,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_13788]) ).

cnf(c_13864,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP3_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13785]) ).

cnf(c_13865,negated_conjecture,
    ( sP1_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_13791]) ).

cnf(c_13869,negated_conjecture,
    ( sP2_iProver_def
    | sP8_iProver_def
    | sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_13794]) ).

cnf(c_13873,negated_conjecture,
    ( sP9_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_13797]) ).

cnf(c_13874,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP9_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13793]) ).

cnf(c_13877,negated_conjecture,
    ( sP12_iProver_def
    | sP13_iProver_def
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_13801]) ).

cnf(c_13881,negated_conjecture,
    ( sP7_iProver_def
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_13804]) ).

cnf(c_13892,negated_conjecture,
    ( hskp16
    | sP21_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_13813]) ).

cnf(c_13896,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_13787]) ).

cnf(c_13897,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP13_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13799]) ).

cnf(c_13901,negated_conjecture,
    ( hskp5
    | sP17_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_13818]) ).

cnf(c_13903,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP17_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13805]) ).

cnf(c_13906,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP21_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13811]) ).

cnf(c_13907,negated_conjecture,
    ( hskp15
    | sP2_iProver_def
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_13820]) ).

cnf(c_13908,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13783]) ).

cnf(c_13910,negated_conjecture,
    ( hskp3
    | sP18_iProver_def
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_13821]) ).

cnf(c_13913,negated_conjecture,
    ( hskp12
    | sP7_iProver_def
    | sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_13822]) ).

cnf(c_13914,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP7_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13790]) ).

cnf(c_13916,negated_conjecture,
    ( hskp7
    | sP14_iProver_def
    | sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_13824]) ).

cnf(c_13917,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP14_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13800]) ).

cnf(c_13919,negated_conjecture,
    ( sP12_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_13826]) ).

cnf(c_13920,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP26_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13825]) ).

cnf(c_13921,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP12_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13798]) ).

cnf(c_13923,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP10_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13795]) ).

cnf(c_13924,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP11_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13796]) ).

cnf(c_13925,negated_conjecture,
    ( hskp10
    | sP6_iProver_def
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_13828]) ).

cnf(c_13926,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP15_iProver_def
    | c3_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13802]) ).

cnf(c_13927,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP6_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13789]) ).

cnf(c_13928,negated_conjecture,
    ( hskp9
    | sP8_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_13829]) ).

cnf(c_13929,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP8_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13792]) ).

cnf(c_13931,negated_conjecture,
    ( hskp0
    | sP4_iProver_def
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_13831]) ).

cnf(c_13933,negated_conjecture,
    ( ~ sP27_iProver_def
    | c3_1(X0)
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13830]) ).

cnf(c_13935,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP25_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13823]) ).

cnf(c_13942,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_13809]) ).

cnf(c_13946,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP24_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13817]) ).

cnf(c_13947,negated_conjecture,
    ( hskp6
    | hskp3
    | sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_13840]) ).

cnf(c_13948,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP4_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13786]) ).

cnf(c_13953,negated_conjecture,
    ( hskp14
    | hskp18
    | sP30_iProver_def ),
    inference(demodulation,[status(thm)],[c_13844]) ).

cnf(c_13956,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP30_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13841]) ).

cnf(c_13959,negated_conjecture,
    ( hskp14
    | hskp10
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_13847]) ).

cnf(c_13960,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP22_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13812]) ).

cnf(c_13961,negated_conjecture,
    ( hskp11
    | hskp26
    | sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_13848]) ).

cnf(c_13962,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP1_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13782]) ).

cnf(c_13965,negated_conjecture,
    ( hskp12
    | hskp5
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_13850]) ).

cnf(c_13967,negated_conjecture,
    ( hskp20
    | hskp10
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_13851]) ).

cnf(c_13968,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP19_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13808]) ).

cnf(c_13969,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_333]) ).

cnf(c_13972,negated_conjecture,
    ( hskp3
    | hskp2
    | sP31_iProver_def ),
    inference(demodulation,[status(thm)],[c_13854]) ).

cnf(c_13973,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP31_iProver_def
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13852]) ).

cnf(c_13974,negated_conjecture,
    ( hskp3
    | hskp13
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_13855]) ).

cnf(c_13975,negated_conjecture,
    ( ~ sP18_iProver_def
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13806]) ).

cnf(c_13977,negated_conjecture,
    ( ~ sP16_iProver_def
    | c2_1(X0)
    | c1_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13803]) ).

cnf(c_14107,plain,
    ( ~ c3_1(a112)
    | ~ sP3_iProver_def
    | c2_1(a112) ),
    inference(instantiation,[status(thm)],[c_13864]) ).

cnf(c_14109,plain,
    ( ~ c3_1(a106)
    | ~ sP3_iProver_def
    | c2_1(a106) ),
    inference(instantiation,[status(thm)],[c_13864]) ).

cnf(c_14110,plain,
    ( ~ c3_1(a101)
    | ~ sP3_iProver_def
    | c2_1(a101) ),
    inference(instantiation,[status(thm)],[c_13864]) ).

cnf(c_14113,plain,
    ( ~ c2_1(a94)
    | ~ c1_1(a94)
    | ~ c0_1(a94)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_13860]) ).

cnf(c_14121,plain,
    ( ~ c3_1(a116)
    | ~ c1_1(a116)
    | ~ sP9_iProver_def
    | c2_1(a116) ),
    inference(instantiation,[status(thm)],[c_13874]) ).

cnf(c_14122,plain,
    ( ~ c3_1(a106)
    | ~ c1_1(a106)
    | ~ sP9_iProver_def
    | c2_1(a106) ),
    inference(instantiation,[status(thm)],[c_13874]) ).

cnf(c_14128,plain,
    ( ~ c3_1(a116)
    | ~ c1_1(a116)
    | ~ sP7_iProver_def
    | c0_1(a116) ),
    inference(instantiation,[status(thm)],[c_13914]) ).

cnf(c_14129,plain,
    ( ~ c3_1(a106)
    | ~ c1_1(a106)
    | ~ sP7_iProver_def
    | c0_1(a106) ),
    inference(instantiation,[status(thm)],[c_13914]) ).

cnf(c_14134,plain,
    ( ~ c0_1(a115)
    | ~ sP12_iProver_def
    | c3_1(a115)
    | c1_1(a115) ),
    inference(instantiation,[status(thm)],[c_13921]) ).

cnf(c_14136,plain,
    ( ~ c0_1(a105)
    | ~ sP12_iProver_def
    | c3_1(a105)
    | c1_1(a105) ),
    inference(instantiation,[status(thm)],[c_13921]) ).

cnf(c_14137,plain,
    ( ~ c0_1(a103)
    | ~ sP12_iProver_def
    | c3_1(a103)
    | c1_1(a103) ),
    inference(instantiation,[status(thm)],[c_13921]) ).

cnf(c_14140,plain,
    ( ~ c2_1(a109)
    | ~ sP6_iProver_def
    | c3_1(a109)
    | c0_1(a109) ),
    inference(instantiation,[status(thm)],[c_13927]) ).

cnf(c_14143,plain,
    ( ~ c2_1(a99)
    | ~ sP6_iProver_def
    | c3_1(a99)
    | c0_1(a99) ),
    inference(instantiation,[status(thm)],[c_13927]) ).

cnf(c_14151,plain,
    ( ~ c1_1(a115)
    | ~ c0_1(a115)
    | ~ sP4_iProver_def
    | c2_1(a115) ),
    inference(instantiation,[status(thm)],[c_13948]) ).

cnf(c_14157,plain,
    ( ~ c3_1(a116)
    | ~ sP13_iProver_def
    | c2_1(a116)
    | c0_1(a116) ),
    inference(instantiation,[status(thm)],[c_13897]) ).

cnf(c_14160,plain,
    ( ~ c3_1(a106)
    | ~ sP13_iProver_def
    | c2_1(a106)
    | c0_1(a106) ),
    inference(instantiation,[status(thm)],[c_13897]) ).

cnf(c_14167,plain,
    ( ~ c2_1(a105)
    | ~ c0_1(a105)
    | ~ sP26_iProver_def
    | c1_1(a105) ),
    inference(instantiation,[status(thm)],[c_13920]) ).

cnf(c_14186,plain,
    ( ~ c3_1(a112)
    | ~ sP10_iProver_def
    | c2_1(a112)
    | c1_1(a112) ),
    inference(instantiation,[status(thm)],[c_13923]) ).

cnf(c_14189,plain,
    ( ~ c3_1(a101)
    | ~ sP10_iProver_def
    | c2_1(a101)
    | c1_1(a101) ),
    inference(instantiation,[status(thm)],[c_13923]) ).

cnf(c_14193,plain,
    ( ~ c2_1(a109)
    | ~ sP15_iProver_def
    | c3_1(a109)
    | c1_1(a109) ),
    inference(instantiation,[status(thm)],[c_13926]) ).

cnf(c_14196,plain,
    ( ~ c2_1(a99)
    | ~ sP15_iProver_def
    | c3_1(a99)
    | c1_1(a99) ),
    inference(instantiation,[status(thm)],[c_13926]) ).

cnf(c_14201,plain,
    ( ~ c2_1(a116)
    | ~ c1_1(a116)
    | ~ sP1_iProver_def
    | c0_1(a116) ),
    inference(instantiation,[status(thm)],[c_13962]) ).

cnf(c_14204,plain,
    ( ~ c2_1(a98)
    | ~ c1_1(a98)
    | ~ sP1_iProver_def
    | c0_1(a98) ),
    inference(instantiation,[status(thm)],[c_13962]) ).

cnf(c_14207,plain,
    ( ~ c1_1(a118)
    | ~ sP17_iProver_def
    | c3_1(a118)
    | c2_1(a118) ),
    inference(instantiation,[status(thm)],[c_13903]) ).

cnf(c_14211,plain,
    ( ~ c1_1(a98)
    | ~ sP17_iProver_def
    | c3_1(a98)
    | c2_1(a98) ),
    inference(instantiation,[status(thm)],[c_13903]) ).

cnf(c_14220,plain,
    ( ~ c1_1(a125)
    | ~ c0_1(a125)
    | ~ sP4_iProver_def
    | c2_1(a125) ),
    inference(instantiation,[status(thm)],[c_13948]) ).

cnf(c_14228,plain,
    ( ~ c3_1(a110)
    | ~ c2_1(a110)
    | ~ sP14_iProver_def
    | c0_1(a110) ),
    inference(instantiation,[status(thm)],[c_13917]) ).

cnf(c_14233,plain,
    ( ~ c3_1(a97)
    | ~ c2_1(a97)
    | ~ sP14_iProver_def
    | c0_1(a97) ),
    inference(instantiation,[status(thm)],[c_13917]) ).

cnf(c_14238,plain,
    ( ~ c0_1(a112)
    | ~ sP11_iProver_def
    | c2_1(a112)
    | c1_1(a112) ),
    inference(instantiation,[status(thm)],[c_13924]) ).

cnf(c_14257,plain,
    ( ~ c2_1(a109)
    | ~ c1_1(a109)
    | ~ sP1_iProver_def
    | c0_1(a109) ),
    inference(instantiation,[status(thm)],[c_13962]) ).

cnf(c_14267,plain,
    ( ~ sP18_iProver_def
    | c3_1(a115)
    | c2_1(a115)
    | c1_1(a115) ),
    inference(instantiation,[status(thm)],[c_13975]) ).

cnf(c_14273,plain,
    ( ~ sP18_iProver_def
    | c3_1(a96)
    | c2_1(a96)
    | c1_1(a96) ),
    inference(instantiation,[status(thm)],[c_13975]) ).

cnf(c_14281,plain,
    ( ~ c3_1(a112)
    | ~ c0_1(a112)
    | ~ sP22_iProver_def
    | c1_1(a112) ),
    inference(instantiation,[status(thm)],[c_13960]) ).

cnf(c_14282,plain,
    ( ~ c3_1(a105)
    | ~ c0_1(a105)
    | ~ sP22_iProver_def
    | c1_1(a105) ),
    inference(instantiation,[status(thm)],[c_13960]) ).

cnf(c_14286,plain,
    ( ~ c0_1(a125)
    | ~ sP19_iProver_def
    | c3_1(a125)
    | c2_1(a125) ),
    inference(instantiation,[status(thm)],[c_13968]) ).

cnf(c_14367,plain,
    ( ~ c3_1(a165)
    | ~ c2_1(a165)
    | ~ sP14_iProver_def
    | c0_1(a165) ),
    inference(instantiation,[status(thm)],[c_13917]) ).

cnf(c_14372,plain,
    ( ~ sP27_iProver_def
    | c3_1(a109)
    | c1_1(a109)
    | c0_1(a109) ),
    inference(instantiation,[status(thm)],[c_13933]) ).

cnf(c_14382,plain,
    ( ~ c3_1(a105)
    | ~ c2_1(a105)
    | ~ sP30_iProver_def
    | c1_1(a105) ),
    inference(instantiation,[status(thm)],[c_13956]) ).

cnf(c_14385,plain,
    ( ~ c3_1(a97)
    | ~ c2_1(a97)
    | ~ sP30_iProver_def
    | c1_1(a97) ),
    inference(instantiation,[status(thm)],[c_13956]) ).

cnf(c_14387,plain,
    ( ~ c3_1(a112)
    | ~ c2_1(a112)
    | ~ sP30_iProver_def
    | c1_1(a112) ),
    inference(instantiation,[status(thm)],[c_13956]) ).

cnf(c_14395,plain,
    ( ~ c1_1(a106)
    | ~ sP25_iProver_def
    | c2_1(a106)
    | c0_1(a106) ),
    inference(instantiation,[status(thm)],[c_13935]) ).

cnf(c_14403,plain,
    ( ~ c3_1(a106)
    | ~ c1_1(a106)
    | ~ c0_1(a106)
    | ~ sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_13896]) ).

cnf(c_14406,plain,
    ( ~ c1_1(a106)
    | ~ c0_1(a106)
    | ~ sP4_iProver_def
    | c2_1(a106) ),
    inference(instantiation,[status(thm)],[c_13948]) ).

cnf(c_14454,plain,
    ( ~ c2_1(a99)
    | ~ c0_1(a99)
    | ~ sP26_iProver_def
    | c1_1(a99) ),
    inference(instantiation,[status(thm)],[c_13920]) ).

cnf(c_14456,plain,
    ( ~ c0_1(a99)
    | ~ sP12_iProver_def
    | c3_1(a99)
    | c1_1(a99) ),
    inference(instantiation,[status(thm)],[c_13921]) ).

cnf(c_14459,plain,
    ( ~ c3_1(a97)
    | ~ c0_1(a97)
    | ~ sP22_iProver_def
    | c1_1(a97) ),
    inference(instantiation,[status(thm)],[c_13960]) ).

cnf(c_14505,plain,
    ( ~ c0_1(a115)
    | ~ sP11_iProver_def
    | c2_1(a115)
    | c1_1(a115) ),
    inference(instantiation,[status(thm)],[c_13924]) ).

cnf(c_14506,plain,
    ( ~ c0_1(a101)
    | ~ sP11_iProver_def
    | c2_1(a101)
    | c1_1(a101) ),
    inference(instantiation,[status(thm)],[c_13924]) ).

cnf(c_14509,plain,
    ( ~ c0_1(a133)
    | ~ sP11_iProver_def
    | c2_1(a133)
    | c1_1(a133) ),
    inference(instantiation,[status(thm)],[c_13924]) ).

cnf(c_14518,plain,
    ( ~ c3_1(a133)
    | ~ c0_1(a133)
    | ~ sP2_iProver_def
    | c2_1(a133) ),
    inference(instantiation,[status(thm)],[c_13908]) ).

cnf(c_14525,plain,
    ( ~ c1_1(a133)
    | ~ c0_1(a133)
    | ~ sP4_iProver_def
    | c2_1(a133) ),
    inference(instantiation,[status(thm)],[c_13948]) ).

cnf(c_14557,plain,
    ( ~ c1_1(a116)
    | ~ sP25_iProver_def
    | c2_1(a116)
    | c0_1(a116) ),
    inference(instantiation,[status(thm)],[c_13935]) ).

cnf(c_14561,plain,
    ( ~ c0_1(a115)
    | ~ sP19_iProver_def
    | c3_1(a115)
    | c2_1(a115) ),
    inference(instantiation,[status(thm)],[c_13968]) ).

cnf(c_14563,plain,
    ( ~ c0_1(a96)
    | ~ sP19_iProver_def
    | c3_1(a96)
    | c2_1(a96) ),
    inference(instantiation,[status(thm)],[c_13968]) ).

cnf(c_14582,plain,
    ( ~ c3_1(a97)
    | ~ c2_1(a97)
    | c1_1(a97)
    | hskp13 ),
    inference(instantiation,[status(thm)],[c_13969]) ).

cnf(c_14626,plain,
    ( ~ c3_1(a165)
    | ~ c1_1(a165)
    | ~ c0_1(a165)
    | ~ sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_13896]) ).

cnf(c_14631,plain,
    ( ~ c3_1(a133)
    | ~ c1_1(a133)
    | ~ c0_1(a133)
    | ~ sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_13896]) ).

cnf(c_14676,plain,
    ( ~ sP27_iProver_def
    | c3_1(a99)
    | c1_1(a99)
    | c0_1(a99) ),
    inference(instantiation,[status(thm)],[c_13933]) ).

cnf(c_14690,plain,
    ( ~ c3_1(a101)
    | ~ sP31_iProver_def
    | c1_1(a101)
    | c0_1(a101) ),
    inference(instantiation,[status(thm)],[c_13973]) ).

cnf(c_14700,plain,
    ( ~ c1_1(a98)
    | ~ sP8_iProver_def
    | c3_1(a98)
    | c0_1(a98) ),
    inference(instantiation,[status(thm)],[c_13929]) ).

cnf(c_14765,plain,
    ( ~ c3_1(a112)
    | ~ c2_1(a112)
    | ~ c0_1(a112)
    | ~ sP20_iProver_def ),
    inference(instantiation,[status(thm)],[c_13942]) ).

cnf(c_14773,plain,
    ( ~ c3_1(a97)
    | ~ c2_1(a97)
    | ~ c0_1(a97)
    | ~ sP20_iProver_def ),
    inference(instantiation,[status(thm)],[c_13942]) ).

cnf(c_14775,plain,
    ( ~ c3_1(a105)
    | ~ c2_1(a105)
    | ~ c0_1(a105)
    | ~ sP20_iProver_def ),
    inference(instantiation,[status(thm)],[c_13942]) ).

cnf(c_14806,plain,
    ( ~ sP16_iProver_def
    | c2_1(a101)
    | c1_1(a101)
    | c0_1(a101) ),
    inference(instantiation,[status(thm)],[c_13977]) ).

cnf(c_14807,plain,
    ( ~ sP16_iProver_def
    | c2_1(a96)
    | c1_1(a96)
    | c0_1(a96) ),
    inference(instantiation,[status(thm)],[c_13977]) ).

cnf(c_14855,plain,
    ( ~ c1_1(a125)
    | ~ c0_1(a125)
    | ~ sP21_iProver_def
    | c3_1(a125) ),
    inference(instantiation,[status(thm)],[c_13906]) ).

cnf(c_14903,plain,
    ( ~ c1_1(a115)
    | ~ sP17_iProver_def
    | c3_1(a115)
    | c2_1(a115) ),
    inference(instantiation,[status(thm)],[c_13903]) ).

cnf(c_14910,plain,
    ( ~ c3_1(a116)
    | ~ c2_1(a116)
    | ~ sP14_iProver_def
    | c0_1(a116) ),
    inference(instantiation,[status(thm)],[c_13917]) ).

cnf(c_14947,plain,
    ( ~ c2_1(a125)
    | ~ c1_1(a125)
    | ~ sP24_iProver_def
    | c3_1(a125) ),
    inference(instantiation,[status(thm)],[c_13946]) ).

cnf(c_14951,plain,
    ( ~ c2_1(a102)
    | ~ c1_1(a102)
    | ~ sP24_iProver_def
    | c3_1(a102) ),
    inference(instantiation,[status(thm)],[c_13946]) ).

cnf(c_15015,plain,
    ( ~ c0_1(a127)
    | ~ sP12_iProver_def
    | c3_1(a127)
    | c1_1(a127) ),
    inference(instantiation,[status(thm)],[c_13921]) ).

cnf(c_15161,plain,
    ( ~ c2_1(a127)
    | ~ c1_1(a127)
    | ~ sP24_iProver_def
    | c3_1(a127) ),
    inference(instantiation,[status(thm)],[c_13946]) ).

cnf(c_15171,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15161,c_15015,c_14951,c_14947,c_14910,c_14903,c_14855,c_14807,c_14806,c_14775,c_14773,c_14765,c_14700,c_14690,c_14676,c_14631,c_14626,c_14582,c_14563,c_14561,c_14557,c_14525,c_14518,c_14509,c_14506,c_14505,c_14459,c_14454,c_14456,c_14403,c_14406,c_14395,c_14387,c_14385,c_14382,c_14372,c_14367,c_14286,c_14282,c_14281,c_14273,c_14267,c_14257,c_14238,c_14233,c_14228,c_14220,c_14211,c_14207,c_14204,c_14201,c_14196,c_14193,c_14189,c_14186,c_14167,c_14160,c_14157,c_14151,c_14143,c_14140,c_14137,c_14136,c_14134,c_14129,c_14128,c_14122,c_14121,c_14113,c_14110,c_14109,c_14107,c_13974,c_13972,c_13967,c_13965,c_13961,c_13959,c_13953,c_13947,c_13931,c_13928,c_13925,c_13916,c_13913,c_13910,c_13907,c_13901,c_13892,c_13881,c_13877,c_13873,c_13869,c_13865,c_13861,c_13857,c_13919,c_4784,c_4774,c_4764,c_3410,c_3400,c_3390,c_2741,c_2731,c_2721,c_2109,c_2099,c_2089,c_1683,c_1673,c_1663,c_145,c_153,c_161,c_162,c_165,c_169,c_170,c_173,c_177,c_181,c_182,c_185,c_189,c_197,c_198,c_201,c_205,c_206,c_213,c_214,c_217,c_218,c_225,c_226,c_227,c_121,c_122,c_123,c_146,c_147,c_154,c_155,c_163,c_166,c_167,c_171,c_174,c_175,c_178,c_179,c_183,c_186,c_187,c_190,c_191,c_199,c_202,c_203,c_207,c_215,c_219,c_53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN454+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.07  % Command  : run_iprover %s %d THM
% 0.07/0.26  % Computer : n004.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Thu May  2 20:35:48 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.11/0.34  Running first-order theorem proving
% 0.11/0.34  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.95/0.95  % SZS status Started for theBenchmark.p
% 3.95/0.95  % SZS status Theorem for theBenchmark.p
% 3.95/0.95  
% 3.95/0.95  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.95/0.95  
% 3.95/0.95  ------  iProver source info
% 3.95/0.95  
% 3.95/0.95  git: date: 2024-05-02 19:28:25 +0000
% 3.95/0.95  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.95/0.95  git: non_committed_changes: false
% 3.95/0.95  
% 3.95/0.95  ------ Parsing...
% 3.95/0.95  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.95/0.95  
% 3.95/0.95  
% 3.95/0.95  ------ 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 
% 3.95/0.95  
% 3.95/0.95  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.95/0.95   gs_s  sp: 76 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.95/0.95  ------ Proving...
% 3.95/0.95  ------ Problem Properties 
% 3.95/0.95  
% 3.95/0.95  
% 3.95/0.95  clauses                                 178
% 3.95/0.95  conjectures                             172
% 3.95/0.95  EPR                                     178
% 3.95/0.95  Horn                                    101
% 3.95/0.95  unary                                   0
% 3.95/0.95  binary                                  85
% 3.95/0.95  lits                                    481
% 3.95/0.95  lits eq                                 0
% 3.95/0.95  fd_pure                                 0
% 3.95/0.95  fd_pseudo                               0
% 3.95/0.95  fd_cond                                 0
% 3.95/0.95  fd_pseudo_cond                          0
% 3.95/0.95  AC symbols                              0
% 3.95/0.95  
% 3.95/0.95  ------ Schedule EPR non Horn non eq is on
% 3.95/0.95  
% 3.95/0.95  ------ no equalities: superposition off 
% 3.95/0.95  
% 3.95/0.95  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.95/0.95  
% 3.95/0.95  
% 3.95/0.95  ------ 
% 3.95/0.95  Current options:
% 3.95/0.95  ------ 
% 3.95/0.95  
% 3.95/0.95  
% 3.95/0.95  
% 3.95/0.95  
% 3.95/0.95  ------ Proving...
% 3.95/0.95  
% 3.95/0.95  
% 3.95/0.95  % SZS status Theorem for theBenchmark.p
% 3.95/0.95  
% 3.95/0.95  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.95/0.96  
% 3.95/0.96  
%------------------------------------------------------------------------------