TSTP Solution File: SYN452+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN452+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 03:30:48 EDT 2024

% Result   : Theorem 3.45s 1.16s
% Output   : CNFRefutation 3.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f201)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp19
        | hskp16
        | hskp13 )
      & ( hskp13
        | hskp5
        | hskp7 )
      & ( hskp5
        | hskp25
        | hskp23 )
      & ( hskp15
        | hskp17
        | hskp27 )
      & ( hskp9
        | hskp18
        | hskp27 )
      & ( hskp24
        | hskp14 )
      & ( hskp11
        | hskp12
        | hskp14 )
      & ( hskp20
        | hskp24
        | hskp28 )
      & ( hskp3
        | hskp23
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c0_1(X91) ) ) )
      & ( hskp8
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c1_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c1_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( hskp2
        | hskp1
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c1_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp15
        | hskp14
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | c3_1(X87) ) ) )
      & ( hskp7
        | hskp14
        | ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c1_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp29
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp19
        | hskp29
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | c2_1(X83) ) ) )
      & ( hskp22
        | hskp1
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp23
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | c3_1(X80)
              | c2_1(X80) ) ) )
      & ( hskp15
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c1_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) ) )
      & ( hskp22
        | hskp14
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp13
        | hskp21
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c0_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp20
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp19
        | ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | ~ c0_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp18
        | hskp3
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp17
        | hskp12
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c3_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp3
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp9
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c0_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp16
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp27
        | ! [X60] :
            ( ndr1_0
           => ( c3_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) ) )
      & ( hskp6
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | ~ c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c3_1(X55)
              | c2_1(X55)
              | c1_1(X55) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | c3_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c0_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp8
        | hskp15
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp13
        | hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp9
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | ~ c0_1(X49)
              | c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c0_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp2
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c3_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c2_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp13
        | hskp12
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp6
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c0_1(X38)
              | c3_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp26
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | ~ c0_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp11
        | hskp10
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp28
        | hskp26
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c1_1(X32)
              | c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c0_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp9
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c0_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c1_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c0_1(X26)
              | c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp8
        | ! [X24] :
            ( ndr1_0
           => ( ~ c0_1(X24)
              | c3_1(X24)
              | c2_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp4
        | hskp7
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp6
        | hskp27
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp5
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | c3_1(X20)
              | c2_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c3_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp4
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp2
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c2_1(X16)
              | c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp3
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c1_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp4
        | hskp3
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c0_1(X11)
              | c3_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp0
        | hskp26
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | ~ c0_1(X5)
              | c3_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c0_1(X3)
              | c2_1(X3)
              | c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a865)
          & c2_1(a865)
          & c1_1(a865)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a833)
          & c1_1(a833)
          & c0_1(a833)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a826)
          & c2_1(a826)
          & c0_1(a826)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c2_1(a818)
          & c1_1(a818)
          & c0_1(a818)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a892)
          & c2_1(a892)
          & c1_1(a892)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a878)
          & ~ c0_1(a878)
          & c1_1(a878)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a862)
          & c3_1(a862)
          & c0_1(a862)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a860)
          & ~ c1_1(a860)
          & ~ c0_1(a860)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a857)
          & ~ c2_1(a857)
          & c0_1(a857)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a856)
          & ~ c1_1(a856)
          & c3_1(a856)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a855)
          & ~ c1_1(a855)
          & ~ c0_1(a855)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a854)
          & ~ c0_1(a854)
          & c1_1(a854)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a852)
          & ~ c2_1(a852)
          & c1_1(a852)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a848)
          & c3_1(a848)
          & c2_1(a848)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a844)
          & ~ c1_1(a844)
          & c2_1(a844)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a842)
          & c1_1(a842)
          & c0_1(a842)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a839)
          & c3_1(a839)
          & c1_1(a839)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a838)
          & c2_1(a838)
          & c0_1(a838)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c0_1(a835)
          & c3_1(a835)
          & c2_1(a835)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a834)
          & c2_1(a834)
          & c0_1(a834)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a831)
          & ~ c0_1(a831)
          & c3_1(a831)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a830)
          & ~ c2_1(a830)
          & ~ c0_1(a830)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a828)
          & ~ c1_1(a828)
          & c0_1(a828)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a827)
          & c2_1(a827)
          & c1_1(a827)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a825)
          & c3_1(a825)
          & c1_1(a825)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a821)
          & ~ c0_1(a821)
          & c2_1(a821)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a820)
          & ~ c1_1(a820)
          & c0_1(a820)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a817)
          & ~ c0_1(a817)
          & c2_1(a817)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a816)
          & c3_1(a816)
          & c0_1(a816)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a815)
          & c1_1(a815)
          & c0_1(a815)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp19
          | hskp16
          | hskp13 )
        & ( hskp13
          | hskp5
          | hskp7 )
        & ( hskp5
          | hskp25
          | hskp23 )
        & ( hskp15
          | hskp17
          | hskp27 )
        & ( hskp9
          | hskp18
          | hskp27 )
        & ( hskp24
          | hskp14 )
        & ( hskp11
          | hskp12
          | hskp14 )
        & ( hskp20
          | hskp24
          | hskp28 )
        & ( hskp3
          | hskp23
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp8
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c1_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( hskp2
          | hskp1
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp15
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c3_1(X87) ) ) )
        & ( hskp7
          | hskp14
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c1_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp29
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp19
          | hskp29
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | c2_1(X83) ) ) )
        & ( hskp22
          | hskp1
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp23
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) ) )
        & ( hskp15
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) ) )
        & ( hskp22
          | hskp14
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp13
          | hskp21
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c0_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp20
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp19
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp18
          | hskp3
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp17
          | hskp12
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp3
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp9
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c0_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp27
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) ) )
        & ( hskp6
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | ~ c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp8
          | hskp15
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp9
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp2
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c3_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp13
          | hskp12
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp6
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c3_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp26
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp11
          | hskp10
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp28
          | hskp26
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp9
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c1_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp8
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp4
          | hskp7
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp6
          | hskp27
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp5
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c3_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp4
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp2
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c2_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp3
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp4
          | hskp3
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp0
          | hskp26
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | c2_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a865)
            & c2_1(a865)
            & c1_1(a865)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a833)
            & c1_1(a833)
            & c0_1(a833)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a826)
            & c2_1(a826)
            & c0_1(a826)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a818)
            & c1_1(a818)
            & c0_1(a818)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a892)
            & c2_1(a892)
            & c1_1(a892)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a878)
            & ~ c0_1(a878)
            & c1_1(a878)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a862)
            & c3_1(a862)
            & c0_1(a862)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a860)
            & ~ c1_1(a860)
            & ~ c0_1(a860)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a857)
            & ~ c2_1(a857)
            & c0_1(a857)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a856)
            & ~ c1_1(a856)
            & c3_1(a856)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a855)
            & ~ c1_1(a855)
            & ~ c0_1(a855)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a854)
            & ~ c0_1(a854)
            & c1_1(a854)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a852)
            & ~ c2_1(a852)
            & c1_1(a852)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a848)
            & c3_1(a848)
            & c2_1(a848)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a844)
            & ~ c1_1(a844)
            & c2_1(a844)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a842)
            & c1_1(a842)
            & c0_1(a842)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a839)
            & c3_1(a839)
            & c1_1(a839)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a838)
            & c2_1(a838)
            & c0_1(a838)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a835)
            & c3_1(a835)
            & c2_1(a835)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a834)
            & c2_1(a834)
            & c0_1(a834)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a831)
            & ~ c0_1(a831)
            & c3_1(a831)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a830)
            & ~ c2_1(a830)
            & ~ c0_1(a830)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a828)
            & ~ c1_1(a828)
            & c0_1(a828)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a827)
            & c2_1(a827)
            & c1_1(a827)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a825)
            & c3_1(a825)
            & c1_1(a825)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a821)
            & ~ c0_1(a821)
            & c2_1(a821)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a820)
            & ~ c1_1(a820)
            & c0_1(a820)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a817)
            & ~ c0_1(a817)
            & c2_1(a817)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a816)
            & c3_1(a816)
            & c0_1(a816)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a815)
            & c1_1(a815)
            & c0_1(a815)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp19
          | hskp16
          | hskp13 )
        & ( hskp13
          | hskp5
          | hskp7 )
        & ( hskp5
          | hskp25
          | hskp23 )
        & ( hskp15
          | hskp17
          | hskp27 )
        & ( hskp9
          | hskp18
          | hskp27 )
        & ( hskp24
          | hskp14 )
        & ( hskp11
          | hskp12
          | hskp14 )
        & ( hskp20
          | hskp24
          | hskp28 )
        & ( hskp3
          | hskp23
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp8
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp2
          | hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp15
          | hskp14
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp7
          | hskp14
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp29
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp19
          | hskp29
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp22
          | hskp1
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp23
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp15
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | ~ c0_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp22
          | hskp14
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | c1_1(X14) ) ) )
        & ( hskp13
          | hskp21
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c0_1(X15)
                | c1_1(X15) ) ) )
        & ( hskp20
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp19
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp18
          | hskp3
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | c3_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp17
          | hskp12
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp3
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c2_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp9
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | c2_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp16
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c2_1(X27)
                | c1_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c2_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp27
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp6
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( ! [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)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c2_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp8
          | hskp15
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp13
          | hskp14
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c1_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp9
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | ~ c0_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp2
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | hskp12
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp6
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c0_1(X53)
                | c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp26
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp11
          | hskp10
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp28
          | hskp26
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_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)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | c2_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp9
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c2_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c2_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c2_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp8
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c2_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp4
          | hskp7
          | ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp6
          | hskp27
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp5
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c2_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp4
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp2
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c1_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp3
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c1_1(X77)
                | c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c1_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp4
          | hskp3
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c1_1(X79)
                | c0_1(X79) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c3_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) ) ) )
        & ( hskp0
          | hskp26
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp2
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp1
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c2_1(X88)
                | c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp0
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( ( c3_1(a865)
            & c2_1(a865)
            & c1_1(a865)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a833)
            & c1_1(a833)
            & c0_1(a833)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a826)
            & c2_1(a826)
            & c0_1(a826)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c2_1(a818)
            & c1_1(a818)
            & c0_1(a818)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a892)
            & c2_1(a892)
            & c1_1(a892)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a878)
            & ~ c0_1(a878)
            & c1_1(a878)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a862)
            & c3_1(a862)
            & c0_1(a862)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a860)
            & ~ c1_1(a860)
            & ~ c0_1(a860)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a857)
            & ~ c2_1(a857)
            & c0_1(a857)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a856)
            & ~ c1_1(a856)
            & c3_1(a856)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a855)
            & ~ c1_1(a855)
            & ~ c0_1(a855)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a854)
            & ~ c0_1(a854)
            & c1_1(a854)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a852)
            & ~ c2_1(a852)
            & c1_1(a852)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a848)
            & c3_1(a848)
            & c2_1(a848)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a844)
            & ~ c1_1(a844)
            & c2_1(a844)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a842)
            & c1_1(a842)
            & c0_1(a842)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a839)
            & c3_1(a839)
            & c1_1(a839)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a838)
            & c2_1(a838)
            & c0_1(a838)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c0_1(a835)
            & c3_1(a835)
            & c2_1(a835)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a834)
            & c2_1(a834)
            & c0_1(a834)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a831)
            & ~ c0_1(a831)
            & c3_1(a831)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a830)
            & ~ c2_1(a830)
            & ~ c0_1(a830)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a828)
            & ~ c1_1(a828)
            & c0_1(a828)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a827)
            & c2_1(a827)
            & c1_1(a827)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a825)
            & c3_1(a825)
            & c1_1(a825)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a821)
            & ~ c0_1(a821)
            & c2_1(a821)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a820)
            & ~ c1_1(a820)
            & c0_1(a820)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a817)
            & ~ c0_1(a817)
            & c2_1(a817)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a816)
            & c3_1(a816)
            & c0_1(a816)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a815)
            & c1_1(a815)
            & c0_1(a815)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp19
      | hskp16
      | hskp13 )
    & ( hskp13
      | hskp5
      | hskp7 )
    & ( hskp5
      | hskp25
      | hskp23 )
    & ( hskp15
      | hskp17
      | hskp27 )
    & ( hskp9
      | hskp18
      | hskp27 )
    & ( hskp24
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp20
      | hskp24
      | hskp28 )
    & ( hskp3
      | hskp23
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp8
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp2
      | hskp1
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp15
      | hskp14
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp7
      | hskp14
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp29
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c0_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp19
      | hskp29
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp22
      | hskp1
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | c3_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp23
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | c3_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp15
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | ~ c0_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp22
      | hskp14
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | c1_1(X14) ) ) )
    & ( hskp13
      | hskp21
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c0_1(X15)
            | c1_1(X15) ) ) )
    & ( hskp20
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | c1_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c0_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp19
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp18
      | hskp3
      | ! [X20] :
          ( ndr1_0
         => ( ~ c0_1(X20)
            | c3_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp17
      | hskp12
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp3
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c1_1(X22)
            | ~ c0_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | c2_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp9
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | c2_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp16
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c2_1(X27)
            | c1_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c2_1(X29)
            | c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c2_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp27
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp6
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c2_1(X32)
            | c1_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( ! [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)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c3_1(X37)
            | c2_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c0_1(X38)
            | c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp8
      | hskp15
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp13
      | hskp14
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c1_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp9
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c0_1(X42)
            | c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c1_1(X43)
            | c0_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | ~ c0_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp2
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c3_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp6
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c0_1(X53)
            | c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp26
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c0_1(X55)
            | c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp11
      | hskp10
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp28
      | hskp26
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | c2_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)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | c2_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp9
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c0_1(X62)
            | c2_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c0_1(X65)
            | c2_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c2_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp8
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c3_1(X67)
            | c2_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp4
      | hskp7
      | ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp6
      | hskp27
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp5
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c3_1(X71)
            | c2_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp4
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp2
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c1_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp3
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c1_1(X77)
            | c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c1_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp4
      | hskp3
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | c1_1(X79)
            | c0_1(X79) ) ) )
    & ( ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c0_1(X80)
            | c3_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) ) ) )
    & ( hskp0
      | hskp26
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | c1_1(X83)
            | c0_1(X83) ) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c3_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp2
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | ~ c0_1(X86)
            | c3_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c2_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp1
      | ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | c2_1(X88)
            | c1_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp0
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c2_1(X90)
            | c1_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c2_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( ( c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a833)
        & c1_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a826)
        & c2_1(a826)
        & c0_1(a826)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a818)
        & c1_1(a818)
        & c0_1(a818)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a892)
        & c2_1(a892)
        & c1_1(a892)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a878)
        & ~ c0_1(a878)
        & c1_1(a878)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a862)
        & c3_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a860)
        & ~ c1_1(a860)
        & ~ c0_1(a860)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a857)
        & ~ c2_1(a857)
        & c0_1(a857)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a856)
        & ~ c1_1(a856)
        & c3_1(a856)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a855)
        & ~ c1_1(a855)
        & ~ c0_1(a855)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a854)
        & ~ c0_1(a854)
        & c1_1(a854)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a852)
        & ~ c2_1(a852)
        & c1_1(a852)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a848)
        & c3_1(a848)
        & c2_1(a848)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a844)
        & ~ c1_1(a844)
        & c2_1(a844)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a842)
        & c1_1(a842)
        & c0_1(a842)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a839)
        & c3_1(a839)
        & c1_1(a839)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a838)
        & c2_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a835)
        & c3_1(a835)
        & c2_1(a835)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a834)
        & c2_1(a834)
        & c0_1(a834)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a831)
        & ~ c0_1(a831)
        & c3_1(a831)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a830)
        & ~ c2_1(a830)
        & ~ c0_1(a830)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a828)
        & ~ c1_1(a828)
        & c0_1(a828)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a827)
        & c2_1(a827)
        & c1_1(a827)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a825)
        & c3_1(a825)
        & c1_1(a825)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a821)
        & ~ c0_1(a821)
        & c2_1(a821)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a820)
        & ~ c1_1(a820)
        & c0_1(a820)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a817)
        & ~ c0_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a816)
        & c3_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a815)
        & c1_1(a815)
        & c0_1(a815)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp19
      | hskp16
      | hskp13 )
    & ( hskp13
      | hskp5
      | hskp7 )
    & ( hskp5
      | hskp25
      | hskp23 )
    & ( hskp15
      | hskp17
      | hskp27 )
    & ( hskp9
      | hskp18
      | hskp27 )
    & ( hskp24
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp20
      | hskp24
      | hskp28 )
    & ( hskp3
      | hskp23
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp14
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp1
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp21
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp3
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp12
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X31] :
          ( c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [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)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c1_1(X37)
          | c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp15
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp14
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c1_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c1_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X47] :
          ( ~ c2_1(X47)
          | c3_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X53] :
          ( ~ c2_1(X53)
          | ~ c0_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X57] :
          ( ~ c3_1(X57)
          | c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp26
      | ! [X58] :
          ( ~ c3_1(X58)
          | c2_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)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c0_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X67] :
          ( ~ c0_1(X67)
          | c3_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X69] :
          ( c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp27
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X71] :
          ( ~ c0_1(X71)
          | c3_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X79] :
          ( ~ c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c3_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 ) )
    & ( hskp0
      | hskp26
      | ! [X83] :
          ( c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X88] :
          ( ~ c0_1(X88)
          | c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a833)
        & c1_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a826)
        & c2_1(a826)
        & c0_1(a826)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a818)
        & c1_1(a818)
        & c0_1(a818)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a892)
        & c2_1(a892)
        & c1_1(a892)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a878)
        & ~ c0_1(a878)
        & c1_1(a878)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a862)
        & c3_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a860)
        & ~ c1_1(a860)
        & ~ c0_1(a860)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a857)
        & ~ c2_1(a857)
        & c0_1(a857)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a856)
        & ~ c1_1(a856)
        & c3_1(a856)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a855)
        & ~ c1_1(a855)
        & ~ c0_1(a855)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a854)
        & ~ c0_1(a854)
        & c1_1(a854)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a852)
        & ~ c2_1(a852)
        & c1_1(a852)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a848)
        & c3_1(a848)
        & c2_1(a848)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a844)
        & ~ c1_1(a844)
        & c2_1(a844)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a842)
        & c1_1(a842)
        & c0_1(a842)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a839)
        & c3_1(a839)
        & c1_1(a839)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a838)
        & c2_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a835)
        & c3_1(a835)
        & c2_1(a835)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a834)
        & c2_1(a834)
        & c0_1(a834)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a831)
        & ~ c0_1(a831)
        & c3_1(a831)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a830)
        & ~ c2_1(a830)
        & ~ c0_1(a830)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a828)
        & ~ c1_1(a828)
        & c0_1(a828)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a827)
        & c2_1(a827)
        & c1_1(a827)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a825)
        & c3_1(a825)
        & c1_1(a825)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a821)
        & ~ c0_1(a821)
        & c2_1(a821)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a820)
        & ~ c1_1(a820)
        & c0_1(a820)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a817)
        & ~ c0_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a816)
        & c3_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a815)
        & c1_1(a815)
        & c0_1(a815)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp19
      | hskp16
      | hskp13 )
    & ( hskp13
      | hskp5
      | hskp7 )
    & ( hskp5
      | hskp25
      | hskp23 )
    & ( hskp15
      | hskp17
      | hskp27 )
    & ( hskp9
      | hskp18
      | hskp27 )
    & ( hskp24
      | hskp14 )
    & ( hskp11
      | hskp12
      | hskp14 )
    & ( hskp20
      | hskp24
      | hskp28 )
    & ( hskp3
      | hskp23
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp14
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp1
      | ! [X9] :
          ( ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | c3_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c1_1(X12)
          | ~ c0_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp21
      | ! [X15] :
          ( ~ c3_1(X15)
          | ~ c0_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c0_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp3
      | ! [X20] :
          ( ~ c0_1(X20)
          | c3_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp12
      | ! [X21] :
          ( ~ c0_1(X21)
          | c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ c0_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c3_1(X23)
          | c2_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c0_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c0_1(X25)
          | c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c2_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X31] :
          ( c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( ! [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)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c1_1(X37)
          | c3_1(X37)
          | c2_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c2_1(X38)
          | ~ c0_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp15
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp14
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c1_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c1_1(X44)
          | ~ c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X47] :
          ( ~ c2_1(X47)
          | c3_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X52] :
          ( ~ c1_1(X52)
          | c3_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X53] :
          ( ~ c2_1(X53)
          | ~ c0_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c1_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp10
      | ! [X57] :
          ( ~ c3_1(X57)
          | c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp26
      | ! [X58] :
          ( ~ c3_1(X58)
          | c2_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)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c2_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c0_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | c2_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X67] :
          ( ~ c0_1(X67)
          | c3_1(X67)
          | c2_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp7
      | ! [X69] :
          ( c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp27
      | ! [X70] :
          ( c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X71] :
          ( ~ c0_1(X71)
          | c3_1(X71)
          | c2_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c1_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X79] :
          ( ~ c2_1(X79)
          | c1_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( ! [X80] :
          ( ~ c1_1(X80)
          | ~ c0_1(X80)
          | c3_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 ) )
    & ( hskp0
      | hskp26
      | ! [X83] :
          ( c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X86] :
          ( ~ c2_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X88] :
          ( ~ c0_1(X88)
          | c2_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c2_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a833)
        & c1_1(a833)
        & c0_1(a833)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a826)
        & c2_1(a826)
        & c0_1(a826)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c2_1(a818)
        & c1_1(a818)
        & c0_1(a818)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a892)
        & c2_1(a892)
        & c1_1(a892)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a878)
        & ~ c0_1(a878)
        & c1_1(a878)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a862)
        & c3_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a860)
        & ~ c1_1(a860)
        & ~ c0_1(a860)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a857)
        & ~ c2_1(a857)
        & c0_1(a857)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a856)
        & ~ c1_1(a856)
        & c3_1(a856)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a855)
        & ~ c1_1(a855)
        & ~ c0_1(a855)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a854)
        & ~ c0_1(a854)
        & c1_1(a854)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a852)
        & ~ c2_1(a852)
        & c1_1(a852)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a848)
        & c3_1(a848)
        & c2_1(a848)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a844)
        & ~ c1_1(a844)
        & c2_1(a844)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a842)
        & c1_1(a842)
        & c0_1(a842)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a839)
        & c3_1(a839)
        & c1_1(a839)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a838)
        & c2_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c0_1(a835)
        & c3_1(a835)
        & c2_1(a835)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a834)
        & c2_1(a834)
        & c0_1(a834)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a831)
        & ~ c0_1(a831)
        & c3_1(a831)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a830)
        & ~ c2_1(a830)
        & ~ c0_1(a830)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a828)
        & ~ c1_1(a828)
        & c0_1(a828)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a827)
        & c2_1(a827)
        & c1_1(a827)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a825)
        & c3_1(a825)
        & c1_1(a825)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a821)
        & ~ c0_1(a821)
        & c2_1(a821)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a820)
        & ~ c1_1(a820)
        & c0_1(a820)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a817)
        & ~ c0_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a816)
        & c3_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a815)
        & c1_1(a815)
        & c0_1(a815)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

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

fof(f8,plain,
    ( c0_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( c1_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c3_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c0_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( c3_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c2_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c2_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c0_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c3_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f27,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c1_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( c3_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c0_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c0_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( ~ c1_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c2_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( ~ c0_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( ~ c2_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( ~ c3_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c3_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( ~ c0_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c1_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c1_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( c3_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c2_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f64,plain,
    ( c0_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f65,plain,
    ( c1_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f66,plain,
    ( ~ c2_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( c0_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( ~ c2_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c3_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( ~ c0_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( ~ c1_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c2_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f99,plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( c1_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( ~ c0_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c3_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f107,plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f124,plain,
    ( c1_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f125,plain,
    ( c2_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f126,plain,
    ( c3_1(a865)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f167,plain,
    ! [X15] :
      ( hskp13
      | hskp21
      | ~ c3_1(X15)
      | ~ c0_1(X15)
      | c1_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f168,plain,
    ! [X14] :
      ( hskp22
      | hskp14
      | ~ c3_1(X14)
      | ~ c2_1(X14)
      | c1_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f171,plain,
    ! [X9] :
      ( hskp22
      | hskp1
      | ~ c1_1(X9)
      | c3_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f174,plain,
    ! [X5] :
      ( hskp7
      | hskp14
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f176,plain,
    ! [X3] :
      ( hskp2
      | hskp1
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f181,plain,
    ( hskp24
    | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f184,plain,
    ( hskp5
    | hskp25
    | hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_51,negated_conjecture,
    ( hskp5
    | hskp25
    | hskp23 ),
    inference(cnf_transformation,[],[f184]) ).

cnf(c_54,negated_conjecture,
    ( hskp24
    | hskp14 ),
    inference(cnf_transformation,[],[f181]) ).

cnf(c_58,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp8 ),
    inference(cnf_transformation,[],[f187]) ).

cnf(c_59,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp2
    | hskp1 ),
    inference(cnf_transformation,[],[f176]) ).

cnf(c_61,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp7
    | hskp14 ),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_62,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp29 ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_64,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp1
    | hskp22 ),
    inference(cnf_transformation,[],[f171]) ).

cnf(c_66,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | hskp15 ),
    inference(cnf_transformation,[],[f190]) ).

cnf(c_67,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp14
    | hskp22 ),
    inference(cnf_transformation,[],[f168]) ).

cnf(c_68,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp13
    | hskp21 ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_69,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_74,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp9 ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_76,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_79,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_80,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X0)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f199]) ).

cnf(c_83,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_84,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X0) ),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_86,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f203]) ).

cnf(c_88,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cnf_transformation,[],[f204]) ).

cnf(c_92,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_93,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp9 ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_94,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_98,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_100,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_101,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | hskp3 ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_105,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_106,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_107,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_108,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_109,negated_conjecture,
    ( ~ hskp29
    | c3_1(a865) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_110,negated_conjecture,
    ( ~ hskp29
    | c2_1(a865) ),
    inference(cnf_transformation,[],[f125]) ).

cnf(c_111,negated_conjecture,
    ( ~ hskp29
    | c1_1(a865) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_128,negated_conjecture,
    ( ~ hskp25
    | ndr1_0 ),
    inference(cnf_transformation,[],[f107]) ).

cnf(c_129,negated_conjecture,
    ( ~ c3_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_130,negated_conjecture,
    ( ~ c0_1(a878)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp24
    | c1_1(a878) ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_136,negated_conjecture,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf_transformation,[],[f99]) ).

cnf(c_137,negated_conjecture,
    ( ~ c2_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_138,negated_conjecture,
    ( ~ c1_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_139,negated_conjecture,
    ( ~ c0_1(a860)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_141,negated_conjecture,
    ( ~ c3_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_142,negated_conjecture,
    ( ~ c2_1(a857)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp21
    | c0_1(a857) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_169,negated_conjecture,
    ( ~ c2_1(a842)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f66]) ).

cnf(c_170,negated_conjecture,
    ( ~ hskp14
    | c1_1(a842) ),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp14
    | c0_1(a842) ),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_173,negated_conjecture,
    ( ~ c2_1(a839)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_174,negated_conjecture,
    ( ~ hskp13
    | c3_1(a839) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp13
    | c1_1(a839) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_189,negated_conjecture,
    ( ~ c1_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_190,negated_conjecture,
    ( ~ c0_1(a831)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_191,negated_conjecture,
    ( ~ hskp9
    | c3_1(a831) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_193,negated_conjecture,
    ( ~ c3_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_194,negated_conjecture,
    ( ~ c2_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_195,negated_conjecture,
    ( ~ c0_1(a830)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_197,negated_conjecture,
    ( ~ c2_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_198,negated_conjecture,
    ( ~ c1_1(a828)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp7
    | c0_1(a828) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_205,negated_conjecture,
    ( ~ c0_1(a825)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_206,negated_conjecture,
    ( ~ hskp5
    | c3_1(a825) ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp5
    | c1_1(a825) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_208,negated_conjecture,
    ( ~ hskp5
    | ndr1_0 ),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_217,negated_conjecture,
    ( ~ c3_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_218,negated_conjecture,
    ( ~ c0_1(a817)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_219,negated_conjecture,
    ( ~ hskp2
    | c2_1(a817) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_221,negated_conjecture,
    ( ~ c2_1(a816)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_222,negated_conjecture,
    ( ~ hskp1
    | c3_1(a816) ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp1
    | c0_1(a816) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_225,negated_conjecture,
    ( ~ c3_1(a815)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_226,negated_conjecture,
    ( ~ hskp0
    | c1_1(a815) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp0
    | c0_1(a815) ),
    inference(cnf_transformation,[],[f8]) ).

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

cnf(c_256,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_228,c_208,c_136,c_128,c_51]) ).

cnf(c_346,negated_conjecture,
    ( ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp1
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_208,c_136,c_128,c_51,c_64]) ).

cnf(c_355,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp13
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_68,c_208,c_136,c_128,c_51,c_68]) ).

cnf(c_356,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp13
    | hskp21 ),
    inference(renaming,[status(thm)],[c_355]) ).

cnf(c_358,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_208,c_136,c_128,c_51,c_67]) ).

cnf(c_359,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp22 ),
    inference(renaming,[status(thm)],[c_358]) ).

cnf(c_364,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp7
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_208,c_136,c_128,c_51,c_61]) ).

cnf(c_365,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp7
    | hskp14 ),
    inference(renaming,[status(thm)],[c_364]) ).

cnf(c_370,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp2
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_59,c_208,c_136,c_128,c_51,c_59]) ).

cnf(c_371,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp2
    | hskp1 ),
    inference(renaming,[status(thm)],[c_370]) ).

cnf(c_376,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_108,c_208,c_136,c_128,c_51,c_108]) ).

cnf(c_379,negated_conjecture,
    ( ~ c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_105,c_208,c_136,c_128,c_51,c_105]) ).

cnf(c_381,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_208,c_136,c_128,c_51,c_107]) ).

cnf(c_385,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_98,c_208,c_136,c_128,c_51,c_98]) ).

cnf(c_387,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_106,c_208,c_136,c_128,c_51,c_106]) ).

cnf(c_388,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_387]) ).

cnf(c_389,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_100,c_208,c_136,c_128,c_51,c_100]) ).

cnf(c_390,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_389]) ).

cnf(c_399,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_208,c_136,c_128,c_51,c_101]) ).

cnf(c_400,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_399]) ).

cnf(c_401,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_208,c_136,c_128,c_51,c_93]) ).

cnf(c_402,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_401]) ).

cnf(c_405,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_88,c_208,c_136,c_128,c_51,c_88]) ).

cnf(c_406,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_405]) ).

cnf(c_409,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_74,c_208,c_136,c_128,c_51,c_74]) ).

cnf(c_410,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_409]) ).

cnf(c_414,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_208,c_136,c_128,c_51,c_83]) ).

cnf(c_415,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_414]) ).

cnf(c_420,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_208,c_136,c_128,c_51,c_69]) ).

cnf(c_421,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_420]) ).

cnf(c_423,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_208,c_136,c_128,c_51,c_66]) ).

cnf(c_424,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_423]) ).

cnf(c_425,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_208,c_136,c_128,c_51,c_62]) ).

cnf(c_426,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c2_1(X1)
    | hskp29 ),
    inference(renaming,[status(thm)],[c_425]) ).

cnf(c_428,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_208,c_136,c_128,c_51,c_58]) ).

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

cnf(c_431,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_208,c_136,c_128,c_51,c_86]) ).

cnf(c_432,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_431]) ).

cnf(c_433,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_79,c_208,c_136,c_128,c_51,c_79]) ).

cnf(c_434,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_433]) ).

cnf(c_435,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_208,c_136,c_128,c_51,c_103]) ).

cnf(c_436,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_435]) ).

cnf(c_437,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_208,c_136,c_128,c_51,c_94]) ).

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

cnf(c_439,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_208,c_136,c_128,c_51,c_92]) ).

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

cnf(c_441,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_84,c_256]) ).

cnf(c_442,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X0) ),
    inference(renaming,[status(thm)],[c_441]) ).

cnf(c_443,plain,
    ( ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X0)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_208,c_136,c_128,c_51,c_80]) ).

cnf(c_444,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X0)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_443]) ).

cnf(c_445,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_76,c_208,c_136,c_128,c_51,c_76]) ).

cnf(c_446,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ c1_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_445]) ).

cnf(c_1600,plain,
    ( c1_1(a878)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_54,c_131]) ).

cnf(c_1607,plain,
    ( ~ c0_1(a878)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_54,c_130]) ).

cnf(c_1614,plain,
    ( ~ c3_1(a878)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_54,c_129]) ).

cnf(c_6639,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c2_1(a817)
    | hskp1 ),
    inference(resolution,[status(thm)],[c_371,c_219]) ).

cnf(c_6640,plain,
    ( ~ c2_1(a815)
    | ~ c1_1(a815)
    | c3_1(a815)
    | c2_1(a817)
    | hskp1 ),
    inference(instantiation,[status(thm)],[c_6639]) ).

cnf(c_6656,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(a817)
    | c3_1(X0)
    | hskp1 ),
    inference(resolution,[status(thm)],[c_371,c_218]) ).

cnf(c_6657,plain,
    ( ~ c2_1(a815)
    | ~ c0_1(a817)
    | ~ c1_1(a815)
    | c3_1(a815)
    | hskp1 ),
    inference(instantiation,[status(thm)],[c_6656]) ).

cnf(c_6673,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(a817)
    | c3_1(X0)
    | hskp1 ),
    inference(resolution,[status(thm)],[c_371,c_217]) ).

cnf(c_6674,plain,
    ( ~ c3_1(a817)
    | ~ c2_1(a815)
    | ~ c1_1(a815)
    | c3_1(a815)
    | hskp1 ),
    inference(instantiation,[status(thm)],[c_6673]) ).

cnf(c_13658,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_446]) ).

cnf(c_13659,negated_conjecture,
    ( c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_446]) ).

cnf(c_13660,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_446]) ).

cnf(c_13662,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_444]) ).

cnf(c_13666,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_442]) ).

cnf(c_13667,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_442]) ).

cnf(c_13668,negated_conjecture,
    ( sP0_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

cnf(c_13669,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_440]) ).

cnf(c_13670,negated_conjecture,
    ( c1_1(X0)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_440]) ).

cnf(c_13671,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_440]) ).

cnf(c_13672,negated_conjecture,
    ( sP8_iProver_def
    | sP9_iProver_def
    | sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

cnf(c_13673,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_438]) ).

cnf(c_13674,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_438]) ).

cnf(c_13675,negated_conjecture,
    ( sP10_iProver_def
    | sP11_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

cnf(c_13676,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_436]) ).

cnf(c_13678,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_def])],[c_436]) ).

cnf(c_13680,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_434]) ).

cnf(c_13681,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_434]) ).

cnf(c_13683,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_432]) ).

cnf(c_13684,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_432]) ).

cnf(c_13685,negated_conjecture,
    ( sP16_iProver_def
    | sP18_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

cnf(c_13686,negated_conjecture,
    ( hskp8
    | sP2_iProver_def
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_13687,negated_conjecture,
    ( hskp29
    | sP2_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

cnf(c_13688,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_424]) ).

cnf(c_13690,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_421]) ).

cnf(c_13694,negated_conjecture,
    ( hskp9
    | sP13_iProver_def
    | sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

cnf(c_13696,negated_conjecture,
    ( hskp9
    | sP1_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

cnf(c_13699,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_def])],[c_406]) ).

cnf(c_13702,negated_conjecture,
    ( hskp9
    | sP11_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

cnf(c_13703,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_400]) ).

cnf(c_13709,negated_conjecture,
    ( hskp2
    | sP0_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

cnf(c_13710,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | ~ sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_def])],[c_388]) ).

cnf(c_13711,negated_conjecture,
    ( hskp2
    | sP23_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_388]) ).

cnf(c_13712,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_def])],[c_385]) ).

cnf(c_13713,negated_conjecture,
    ( hskp5
    | sP20_iProver_def
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_385]) ).

cnf(c_13715,negated_conjecture,
    ( hskp1
    | sP1_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).

cnf(c_13716,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | ~ sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_def])],[c_379]) ).

cnf(c_13717,negated_conjecture,
    ( sP24_iProver_def
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_379]) ).

cnf(c_13718,negated_conjecture,
    ( hskp0
    | sP16_iProver_def
    | sP26_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_376]) ).

cnf(c_13721,negated_conjecture,
    ( hskp2
    | hskp1
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

cnf(c_13723,negated_conjecture,
    ( hskp7
    | hskp14
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

cnf(c_13725,negated_conjecture,
    ( hskp14
    | hskp22
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_359]) ).

cnf(c_13726,negated_conjecture,
    ( hskp13
    | hskp21
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

cnf(c_13729,negated_conjecture,
    ( hskp1
    | hskp22
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_346]) ).

cnf(c_13748,negated_conjecture,
    ( sP0_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_13668]) ).

cnf(c_13752,negated_conjecture,
    ( sP8_iProver_def
    | sP9_iProver_def
    | sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_13672]) ).

cnf(c_13756,negated_conjecture,
    ( sP10_iProver_def
    | sP11_iProver_def
    | sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_13675]) ).

cnf(c_13757,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP10_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13671]) ).

cnf(c_13768,negated_conjecture,
    ( sP16_iProver_def
    | sP18_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_13685]) ).

cnf(c_13772,negated_conjecture,
    ( hskp8
    | sP2_iProver_def
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_13686]) ).

cnf(c_13773,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_13681]) ).

cnf(c_13775,negated_conjecture,
    ( hskp29
    | sP2_iProver_def
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_13687]) ).

cnf(c_13788,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_13660]) ).

cnf(c_13790,negated_conjecture,
    ( hskp9
    | sP13_iProver_def
    | sP15_iProver_def ),
    inference(demodulation,[status(thm)],[c_13694]) ).

cnf(c_13792,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP13_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13676]) ).

cnf(c_13796,negated_conjecture,
    ( hskp9
    | sP1_iProver_def
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_13696]) ).

cnf(c_13808,negated_conjecture,
    ( hskp9
    | sP11_iProver_def
    | sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_13702]) ).

cnf(c_13809,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP11_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13673]) ).

cnf(c_13813,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP7_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13667]) ).

cnf(c_13819,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP18_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13683]) ).

cnf(c_13822,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP12_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13674]) ).

cnf(c_13823,negated_conjecture,
    ( hskp2
    | sP0_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_13709]) ).

cnf(c_13824,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP0_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13658]) ).

cnf(c_13826,negated_conjecture,
    ( hskp2
    | sP23_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_13711]) ).

cnf(c_13827,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP23_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13699]) ).

cnf(c_13829,negated_conjecture,
    ( hskp5
    | sP20_iProver_def
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_13713]) ).

cnf(c_13830,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP20_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13688]) ).

cnf(c_13835,negated_conjecture,
    ( hskp1
    | sP1_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_13715]) ).

cnf(c_13836,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP1_iProver_def
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13659]) ).

cnf(c_13838,negated_conjecture,
    ( sP24_iProver_def
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_13717]) ).

cnf(c_13839,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP24_iProver_def
    | c0_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13703]) ).

cnf(c_13841,negated_conjecture,
    ( hskp0
    | sP16_iProver_def
    | sP26_iProver_def ),
    inference(demodulation,[status(thm)],[c_13718]) ).

cnf(c_13842,negated_conjecture,
    ( ~ sP16_iProver_def
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13680]) ).

cnf(c_13843,negated_conjecture,
    ( ~ sP26_iProver_def
    | c2_1(X0)
    | c0_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13710]) ).

cnf(c_13846,negated_conjecture,
    ( hskp2
    | hskp1
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_13721]) ).

cnf(c_13850,negated_conjecture,
    ( hskp7
    | hskp14
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_13723]) ).

cnf(c_13851,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP19_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13684]) ).

cnf(c_13853,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ sP6_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13666]) ).

cnf(c_13854,negated_conjecture,
    ( hskp14
    | hskp22
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_13725]) ).

cnf(c_13855,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP21_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13690]) ).

cnf(c_13856,negated_conjecture,
    ( hskp13
    | hskp21
    | sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_13726]) ).

cnf(c_13857,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP9_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13670]) ).

cnf(c_13861,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP15_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13678]) ).

cnf(c_13862,negated_conjecture,
    ( hskp1
    | hskp22
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_13729]) ).

cnf(c_13863,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP3_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13662]) ).

cnf(c_13873,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP8_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13669]) ).

cnf(c_13879,negated_conjecture,
    ( ~ sP27_iProver_def
    | c3_1(X0)
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13712]) ).

cnf(c_13881,negated_conjecture,
    ( ~ sP28_iProver_def
    | c3_1(X0)
    | c0_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13716]) ).

cnf(c_13983,plain,
    ( ~ c1_1(a815)
    | ~ sP3_iProver_def
    | c3_1(a815)
    | c2_1(a815) ),
    inference(instantiation,[status(thm)],[c_13863]) ).

cnf(c_13988,plain,
    ( ~ c0_1(a815)
    | ~ sP20_iProver_def
    | c3_1(a815)
    | c2_1(a815) ),
    inference(instantiation,[status(thm)],[c_13830]) ).

cnf(c_14001,plain,
    ( ~ c0_1(a815)
    | ~ c1_1(a815)
    | ~ sP13_iProver_def
    | c3_1(a815) ),
    inference(instantiation,[status(thm)],[c_13792]) ).

cnf(c_14002,plain,
    ( ~ c2_1(a815)
    | ~ c1_1(a815)
    | ~ sP19_iProver_def
    | c3_1(a815) ),
    inference(instantiation,[status(thm)],[c_13851]) ).

cnf(c_14004,plain,
    ( ~ c2_1(a815)
    | ~ c0_1(a815)
    | ~ sP23_iProver_def
    | c3_1(a815) ),
    inference(instantiation,[status(thm)],[c_13827]) ).

cnf(c_14011,plain,
    ( ~ c3_1(a842)
    | ~ c1_1(a842)
    | ~ sP10_iProver_def
    | c2_1(a842) ),
    inference(instantiation,[status(thm)],[c_13757]) ).

cnf(c_14014,plain,
    ( ~ c3_1(a816)
    | ~ c1_1(a816)
    | ~ sP10_iProver_def
    | c2_1(a816) ),
    inference(instantiation,[status(thm)],[c_13757]) ).

cnf(c_14021,plain,
    ( ~ c3_1(a860)
    | ~ sP0_iProver_def
    | c2_1(a860)
    | c1_1(a860) ),
    inference(instantiation,[status(thm)],[c_13824]) ).

cnf(c_14027,plain,
    ( ~ c3_1(a816)
    | ~ sP0_iProver_def
    | c2_1(a816)
    | c1_1(a816) ),
    inference(instantiation,[status(thm)],[c_13824]) ).

cnf(c_14034,plain,
    ( ~ c3_1(a860)
    | ~ sP24_iProver_def
    | c0_1(a860)
    | c1_1(a860) ),
    inference(instantiation,[status(thm)],[c_13839]) ).

cnf(c_14038,plain,
    ( ~ c3_1(a831)
    | ~ sP24_iProver_def
    | c0_1(a831)
    | c1_1(a831) ),
    inference(instantiation,[status(thm)],[c_13839]) ).

cnf(c_14042,plain,
    ( ~ sP16_iProver_def
    | c3_1(a857)
    | c2_1(a857)
    | c1_1(a857) ),
    inference(instantiation,[status(thm)],[c_13842]) ).

cnf(c_14045,plain,
    ( ~ sP16_iProver_def
    | c3_1(a830)
    | c2_1(a830)
    | c1_1(a830) ),
    inference(instantiation,[status(thm)],[c_13842]) ).

cnf(c_14051,plain,
    ( ~ c1_1(a830)
    | ~ sP3_iProver_def
    | c3_1(a830)
    | c2_1(a830) ),
    inference(instantiation,[status(thm)],[c_13863]) ).

cnf(c_14064,plain,
    ( ~ c1_1(a842)
    | ~ sP3_iProver_def
    | c3_1(a842)
    | c2_1(a842) ),
    inference(instantiation,[status(thm)],[c_13863]) ).

cnf(c_14075,plain,
    ( ~ c3_1(a842)
    | ~ c0_1(a842)
    | ~ c1_1(a842)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_13788]) ).

cnf(c_14079,plain,
    ( ~ c3_1(a816)
    | ~ c0_1(a816)
    | ~ c1_1(a816)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_13788]) ).

cnf(c_14084,plain,
    ( ~ c3_1(a828)
    | ~ c0_1(a828)
    | ~ sP9_iProver_def
    | c1_1(a828) ),
    inference(instantiation,[status(thm)],[c_13857]) ).

cnf(c_14086,plain,
    ( ~ c3_1(a816)
    | ~ c0_1(a816)
    | ~ sP9_iProver_def
    | c1_1(a816) ),
    inference(instantiation,[status(thm)],[c_13857]) ).

cnf(c_14088,plain,
    ( ~ sP26_iProver_def
    | c2_1(a860)
    | c0_1(a860)
    | c1_1(a860) ),
    inference(instantiation,[status(thm)],[c_13843]) ).

cnf(c_14091,plain,
    ( ~ c1_1(a878)
    | ~ sP3_iProver_def
    | c3_1(a878)
    | c2_1(a878) ),
    inference(instantiation,[status(thm)],[c_13863]) ).

cnf(c_14098,plain,
    ( ~ sP16_iProver_def
    | c3_1(a860)
    | c2_1(a860)
    | c1_1(a860) ),
    inference(instantiation,[status(thm)],[c_13842]) ).

cnf(c_14102,plain,
    ( ~ sP16_iProver_def
    | c3_1(a828)
    | c2_1(a828)
    | c1_1(a828) ),
    inference(instantiation,[status(thm)],[c_13842]) ).

cnf(c_14111,plain,
    ( ~ sP28_iProver_def
    | c3_1(a830)
    | c0_1(a830)
    | c1_1(a830) ),
    inference(instantiation,[status(thm)],[c_13881]) ).

cnf(c_14113,plain,
    ( ~ sP28_iProver_def
    | c3_1(a817)
    | c0_1(a817)
    | c1_1(a817) ),
    inference(instantiation,[status(thm)],[c_13881]) ).

cnf(c_14114,plain,
    ( ~ sP28_iProver_def
    | c3_1(a860)
    | c0_1(a860)
    | c1_1(a860) ),
    inference(instantiation,[status(thm)],[c_13881]) ).

cnf(c_14119,plain,
    ( ~ c3_1(a839)
    | ~ c1_1(a839)
    | ~ sP10_iProver_def
    | c2_1(a839) ),
    inference(instantiation,[status(thm)],[c_13757]) ).

cnf(c_14121,plain,
    ( ~ c2_1(a878)
    | ~ c1_1(a878)
    | ~ sP19_iProver_def
    | c3_1(a878) ),
    inference(instantiation,[status(thm)],[c_13851]) ).

cnf(c_14127,plain,
    ( ~ c2_1(a817)
    | ~ c1_1(a817)
    | ~ sP19_iProver_def
    | c3_1(a817) ),
    inference(instantiation,[status(thm)],[c_13851]) ).

cnf(c_14136,plain,
    ( ~ c3_1(a831)
    | ~ c2_1(a831)
    | ~ sP21_iProver_def
    | c1_1(a831) ),
    inference(instantiation,[status(thm)],[c_13855]) ).

cnf(c_14199,plain,
    ( ~ c0_1(a842)
    | ~ c1_1(a842)
    | ~ sP6_iProver_def
    | c2_1(a842) ),
    inference(instantiation,[status(thm)],[c_13853]) ).

cnf(c_14215,plain,
    ( ~ c3_1(a865)
    | ~ c2_1(a865)
    | ~ c1_1(a865)
    | ~ sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_13773]) ).

cnf(c_14254,plain,
    ( ~ c3_1(a842)
    | ~ c0_1(a842)
    | ~ sP11_iProver_def
    | c2_1(a842) ),
    inference(instantiation,[status(thm)],[c_13809]) ).

cnf(c_14346,plain,
    ( ~ c3_1(a831)
    | ~ sP8_iProver_def
    | c2_1(a831)
    | c0_1(a831) ),
    inference(instantiation,[status(thm)],[c_13873]) ).

cnf(c_14355,plain,
    ( ~ c3_1(a831)
    | ~ sP0_iProver_def
    | c2_1(a831)
    | c1_1(a831) ),
    inference(instantiation,[status(thm)],[c_13824]) ).

cnf(c_14364,plain,
    ( ~ c3_1(a828)
    | ~ c0_1(a828)
    | ~ sP11_iProver_def
    | c2_1(a828) ),
    inference(instantiation,[status(thm)],[c_13809]) ).

cnf(c_14378,plain,
    ( ~ c0_1(a828)
    | ~ sP1_iProver_def
    | c2_1(a828)
    | c1_1(a828) ),
    inference(instantiation,[status(thm)],[c_13836]) ).

cnf(c_14440,plain,
    ( ~ c3_1(a860)
    | ~ sP8_iProver_def
    | c2_1(a860)
    | c0_1(a860) ),
    inference(instantiation,[status(thm)],[c_13873]) ).

cnf(c_14442,plain,
    ( ~ sP27_iProver_def
    | c3_1(a860)
    | c2_1(a860)
    | c0_1(a860) ),
    inference(instantiation,[status(thm)],[c_13879]) ).

cnf(c_14451,plain,
    ( ~ c0_1(a816)
    | ~ sP1_iProver_def
    | c2_1(a816)
    | c1_1(a816) ),
    inference(instantiation,[status(thm)],[c_13836]) ).

cnf(c_14454,plain,
    ( ~ c3_1(a816)
    | ~ c0_1(a816)
    | ~ sP11_iProver_def
    | c2_1(a816) ),
    inference(instantiation,[status(thm)],[c_13809]) ).

cnf(c_14460,plain,
    ( ~ c0_1(a816)
    | ~ c1_1(a816)
    | ~ sP6_iProver_def
    | c2_1(a816) ),
    inference(instantiation,[status(thm)],[c_13853]) ).

cnf(c_14480,plain,
    ( ~ c0_1(a857)
    | ~ c1_1(a857)
    | ~ sP6_iProver_def
    | c2_1(a857) ),
    inference(instantiation,[status(thm)],[c_13853]) ).

cnf(c_14484,plain,
    ( ~ c2_1(a878)
    | ~ sP18_iProver_def
    | c3_1(a878)
    | c0_1(a878) ),
    inference(instantiation,[status(thm)],[c_13819]) ).

cnf(c_14492,plain,
    ( ~ c2_1(a817)
    | ~ sP18_iProver_def
    | c3_1(a817)
    | c0_1(a817) ),
    inference(instantiation,[status(thm)],[c_13819]) ).

cnf(c_14571,plain,
    ( ~ sP27_iProver_def
    | c3_1(a830)
    | c2_1(a830)
    | c0_1(a830) ),
    inference(instantiation,[status(thm)],[c_13879]) ).

cnf(c_14574,plain,
    ( ~ c1_1(a830)
    | ~ sP12_iProver_def
    | c2_1(a830)
    | c0_1(a830) ),
    inference(instantiation,[status(thm)],[c_13822]) ).

cnf(c_14577,plain,
    ( ~ sP26_iProver_def
    | c2_1(a830)
    | c0_1(a830)
    | c1_1(a830) ),
    inference(instantiation,[status(thm)],[c_13843]) ).

cnf(c_14589,plain,
    ( ~ c3_1(a825)
    | ~ c1_1(a825)
    | ~ sP15_iProver_def
    | c0_1(a825) ),
    inference(instantiation,[status(thm)],[c_13861]) ).

cnf(c_14607,plain,
    ( ~ c2_1(a817)
    | ~ c1_1(a817)
    | ~ sP7_iProver_def
    | c0_1(a817) ),
    inference(instantiation,[status(thm)],[c_13813]) ).

cnf(c_14700,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_14607,c_14589,c_14571,c_14574,c_14577,c_14492,c_14484,c_14480,c_14451,c_14454,c_14460,c_14440,c_14442,c_14378,c_14364,c_14346,c_14355,c_14254,c_14215,c_14199,c_14136,c_14127,c_14121,c_14119,c_14114,c_14113,c_14111,c_14102,c_14098,c_14091,c_14088,c_14086,c_14084,c_14079,c_14075,c_14064,c_14051,c_14045,c_14042,c_14038,c_14034,c_14027,c_14021,c_14014,c_14011,c_14004,c_14002,c_14001,c_13988,c_13983,c_13862,c_13856,c_13854,c_13850,c_13846,c_13841,c_13835,c_13829,c_13826,c_13823,c_13808,c_13796,c_13790,c_13775,c_13772,c_13768,c_13756,c_13752,c_13748,c_13838,c_6674,c_6657,c_6640,c_1614,c_1607,c_1600,c_137,c_138,c_139,c_141,c_142,c_169,c_173,c_189,c_190,c_193,c_194,c_195,c_197,c_198,c_205,c_217,c_218,c_221,c_225,c_109,c_110,c_111,c_143,c_170,c_171,c_174,c_175,c_191,c_199,c_206,c_207,c_219,c_222,c_223,c_226,c_227]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN452+1 : TPTP v8.1.2. Released v2.1.0.
% 0.04/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 21:01:06 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.45/1.16  % SZS status Started for theBenchmark.p
% 3.45/1.16  % SZS status Theorem for theBenchmark.p
% 3.45/1.16  
% 3.45/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.45/1.16  
% 3.45/1.16  ------  iProver source info
% 3.45/1.16  
% 3.45/1.16  git: date: 2024-05-02 19:28:25 +0000
% 3.45/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.45/1.16  git: non_committed_changes: false
% 3.45/1.16  
% 3.45/1.16  ------ Parsing...
% 3.45/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.45/1.16  
% 3.45/1.16  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.45/1.16   gs_s  sp: 91 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.45/1.16  ------ Proving...
% 3.45/1.16  ------ Problem Properties 
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  clauses                                 180
% 3.45/1.16  conjectures                             177
% 3.45/1.16  EPR                                     180
% 3.45/1.16  Horn                                    102
% 3.45/1.16  unary                                   0
% 3.45/1.16  binary                                  89
% 3.45/1.16  lits                                    483
% 3.45/1.16  lits eq                                 0
% 3.45/1.16  fd_pure                                 0
% 3.45/1.16  fd_pseudo                               0
% 3.45/1.16  fd_cond                                 0
% 3.45/1.16  fd_pseudo_cond                          0
% 3.45/1.16  AC symbols                              0
% 3.45/1.16  
% 3.45/1.16  ------ Schedule EPR non Horn non eq is on
% 3.45/1.16  
% 3.45/1.16  ------ no equalities: superposition off 
% 3.45/1.16  
% 3.45/1.16  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  ------ 
% 3.45/1.16  Current options:
% 3.45/1.16  ------ 
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  ------ Proving...
% 3.45/1.16  
% 3.45/1.16  
% 3.45/1.16  % SZS status Theorem for theBenchmark.p
% 3.45/1.16  
% 3.45/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.45/1.17  
% 3.45/1.17  
%------------------------------------------------------------------------------