↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN448+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:16 PM UTC 2026

% Result   : Theorem 4.26s 1.28s
% Output   : CNFRefutation 4.26s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f216ERROR: Could not build tree for root c_15792ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp12
        | hskp6
        | hskp20 )
      & ( hskp16
        | hskp15
        | hskp24 )
      & ( hskp11
        | hskp5 )
      & ( hskp6
        | hskp10
        | hskp21 )
      & ( hskp20
        | hskp23
        | hskp9 )
      & ( hskp14
        | hskp5
        | hskp25 )
      & ( hskp16
        | hskp15
        | hskp8 )
      & ( hskp17
        | hskp22
        | hskp27 )
      & ( hskp10
        | hskp26
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | ~ c0_1(X92)
              | c3_1(X92) ) ) )
      & ( hskp12
        | hskp15
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c1_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp2
        | hskp15
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | ~ c0_1(X90)
              | c2_1(X90) ) ) )
      & ( hskp20
        | hskp18
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | ~ c0_1(X89)
              | c2_1(X89) ) ) )
      & ( hskp7
        | hskp11
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | c3_1(X88)
              | c2_1(X88) ) ) )
      & ( hskp21
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c2_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) ) )
      & ( hskp3
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | c3_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp1
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp12
        | hskp3
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp17
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | ~ c0_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c0_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp9
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | ~ c0_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp14
        | hskp12
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | c3_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp20
        | hskp19
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | c3_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp2
        | hskp18
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp16
        | hskp27
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c3_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp12
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp12
        | hskp7
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp17
        | hskp16
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c2_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp15
        | hskp3
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp28
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c0_1(X67)
              | c2_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp10
        | ! [X65] :
            ( ndr1_0
           => ( ~ c2_1(X65)
              | ~ c1_1(X65)
              | ~ c0_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c0_1(X64) ) ) )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | ~ c0_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | c3_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c0_1(X61) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c1_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp14
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | ~ c0_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp7
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp8
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c0_1(X53)
              | c3_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp10
        | hskp27
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp13
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c3_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp9
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | c3_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp9
        | ! [X46] :
            ( ndr1_0
           => ( ~ c0_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp12
        | hskp0
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp11
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | ~ c0_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp10
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | ~ c1_1(X41)
              | ~ c0_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp9
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c2_1(X39)
              | c0_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp8
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c2_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c2_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp7
        | ! [X32] :
            ( ndr1_0
           => ( ~ c0_1(X32)
              | c3_1(X32)
              | c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp27
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c1_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp2
        | hskp6
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp26
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c2_1(X27)
              | ~ c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp4
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | ~ c2_1(X25)
              | ~ c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp5
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | ~ c1_1(X23)
              | ~ c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp4
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c1_1(X21)
              | c2_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | c3_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp3
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c1_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp2
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c1_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp0
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c2_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp1
        | hskp0
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c0_1(X9)
              | c3_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c2_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp25
        | ! [X6] :
            ( ndr1_0
           => ( ~ c0_1(X6)
              | c3_1(X6)
              | c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | c3_1(X4)
              | c2_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c3_1(X3)
              | ~ c1_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a490)
          & c1_1(a490)
          & c0_1(a490)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a473)
          & c1_1(a473)
          & c0_1(a473)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a470)
          & c2_1(a470)
          & c1_1(a470)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( c3_1(a461)
          & c2_1(a461)
          & c0_1(a461)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a540)
          & ~ c1_1(a540)
          & c0_1(a540)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a533)
          & ~ c1_1(a533)
          & c0_1(a533)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a524)
          & c1_1(a524)
          & c0_1(a524)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a512)
          & c3_1(a512)
          & c0_1(a512)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c1_1(a503)
          & c3_1(a503)
          & c2_1(a503)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a502)
          & c3_1(a502)
          & c2_1(a502)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a500)
          & c2_1(a500)
          & c1_1(a500)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a494)
          & ~ c1_1(a494)
          & ~ c0_1(a494)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a493)
          & ~ c0_1(a493)
          & c1_1(a493)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a492)
          & c3_1(a492)
          & c1_1(a492)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a488)
          & ~ c2_1(a488)
          & ~ c1_1(a488)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a483)
          & c2_1(a483)
          & c0_1(a483)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a480)
          & ~ c1_1(a480)
          & ~ c0_1(a480)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a478)
          & ~ c0_1(a478)
          & c2_1(a478)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a477)
          & c2_1(a477)
          & c1_1(a477)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a476)
          & c2_1(a476)
          & c0_1(a476)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a475)
          & c1_1(a475)
          & c0_1(a475)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a474)
          & ~ c1_1(a474)
          & c3_1(a474)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a471)
          & ~ c1_1(a471)
          & c2_1(a471)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a468)
          & c3_1(a468)
          & c0_1(a468)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a467)
          & ~ c0_1(a467)
          & c3_1(a467)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c0_1(a466)
          & c3_1(a466)
          & c1_1(a466)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a465)
          & ~ c2_1(a465)
          & ~ c0_1(a465)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a463)
          & ~ c0_1(a463)
          & c2_1(a463)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a460)
          & ~ c2_1(a460)
          & c0_1(a460)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp12
          | hskp6
          | hskp20 )
        & ( hskp16
          | hskp15
          | hskp24 )
        & ( hskp11
          | hskp5 )
        & ( hskp6
          | hskp10
          | hskp21 )
        & ( hskp20
          | hskp23
          | hskp9 )
        & ( hskp14
          | hskp5
          | hskp25 )
        & ( hskp16
          | hskp15
          | hskp8 )
        & ( hskp17
          | hskp22
          | hskp27 )
        & ( hskp10
          | hskp26
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c0_1(X92)
                | c3_1(X92) ) ) )
        & ( hskp12
          | hskp15
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp2
          | hskp15
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) ) )
        & ( hskp20
          | hskp18
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp7
          | hskp11
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c3_1(X88)
                | c2_1(X88) ) ) )
        & ( hskp21
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c2_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) ) )
        & ( hskp3
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp1
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp12
          | hskp3
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp17
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp9
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp14
          | hskp12
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp20
          | hskp19
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp2
          | hskp18
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp16
          | hskp27
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp12
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp12
          | hskp7
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp17
          | hskp16
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c2_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp15
          | hskp3
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp28
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c0_1(X67)
                | c2_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp10
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c0_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c0_1(X61) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp14
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp7
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp8
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c0_1(X53)
                | c3_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp10
          | hskp27
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c3_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp9
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c3_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp9
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp12
          | hskp0
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp11
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp10
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c1_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp9
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c2_1(X39)
                | c0_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp8
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c2_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp7
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp27
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c1_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp2
          | hskp6
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp26
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp4
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | ~ c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp5
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp4
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c1_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | c3_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c1_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp2
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp0
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c2_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp1
          | hskp0
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp25
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c3_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | c3_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a490)
            & c1_1(a490)
            & c0_1(a490)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a473)
            & c1_1(a473)
            & c0_1(a473)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a470)
            & c2_1(a470)
            & c1_1(a470)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( c3_1(a461)
            & c2_1(a461)
            & c0_1(a461)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a540)
            & ~ c1_1(a540)
            & c0_1(a540)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a533)
            & ~ c1_1(a533)
            & c0_1(a533)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a524)
            & c1_1(a524)
            & c0_1(a524)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a512)
            & c3_1(a512)
            & c0_1(a512)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a503)
            & c3_1(a503)
            & c2_1(a503)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a502)
            & c3_1(a502)
            & c2_1(a502)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a500)
            & c2_1(a500)
            & c1_1(a500)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a494)
            & ~ c1_1(a494)
            & ~ c0_1(a494)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a493)
            & ~ c0_1(a493)
            & c1_1(a493)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a492)
            & c3_1(a492)
            & c1_1(a492)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a488)
            & ~ c2_1(a488)
            & ~ c1_1(a488)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a483)
            & c2_1(a483)
            & c0_1(a483)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a480)
            & ~ c1_1(a480)
            & ~ c0_1(a480)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a478)
            & ~ c0_1(a478)
            & c2_1(a478)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a477)
            & c2_1(a477)
            & c1_1(a477)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a476)
            & c2_1(a476)
            & c0_1(a476)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a475)
            & c1_1(a475)
            & c0_1(a475)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a474)
            & ~ c1_1(a474)
            & c3_1(a474)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a471)
            & ~ c1_1(a471)
            & c2_1(a471)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a468)
            & c3_1(a468)
            & c0_1(a468)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a467)
            & ~ c0_1(a467)
            & c3_1(a467)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c0_1(a466)
            & c3_1(a466)
            & c1_1(a466)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a465)
            & ~ c2_1(a465)
            & ~ c0_1(a465)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a463)
            & ~ c0_1(a463)
            & c2_1(a463)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a460)
            & ~ c2_1(a460)
            & c0_1(a460)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp12
      | hskp6
      | hskp20 )
    & ( hskp16
      | hskp15
      | hskp24 )
    & ( hskp11
      | hskp5 )
    & ( hskp6
      | hskp10
      | hskp21 )
    & ( hskp20
      | hskp23
      | hskp9 )
    & ( hskp14
      | hskp5
      | hskp25 )
    & ( hskp16
      | hskp15
      | hskp8 )
    & ( hskp17
      | hskp22
      | hskp27 )
    & ( hskp10
      | hskp26
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | ~ c0_1(X92)
            | c3_1(X92) ) ) )
    & ( hskp12
      | hskp15
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c1_1(X91)
            | c2_1(X91) ) ) )
    & ( hskp2
      | hskp15
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | ~ c0_1(X90)
            | c2_1(X90) ) ) )
    & ( hskp20
      | hskp18
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c0_1(X89)
            | c2_1(X89) ) ) )
    & ( hskp7
      | hskp11
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c3_1(X88)
            | c2_1(X88) ) ) )
    & ( hskp21
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c0_1(X87)
            | c2_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c3_1(X86)
            | c2_1(X86) ) ) )
    & ( hskp3
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c1_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c3_1(X84)
            | c2_1(X84) ) ) )
    & ( hskp1
      | ! [X83] :
          ( ndr1_0
         => ( ~ c2_1(X83)
            | ~ c1_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c3_1(X82)
            | c2_1(X82) ) ) )
    & ( hskp12
      | hskp3
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c0_1(X81)
            | c1_1(X81) ) ) )
    & ( hskp17
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c2_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c0_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp9
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c0_1(X78)
            | c1_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c0_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp14
      | hskp12
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | c3_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp20
      | hskp19
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c3_1(X75)
            | c1_1(X75) ) ) )
    & ( hskp2
      | hskp18
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c3_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp16
      | hskp27
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | c3_1(X73)
            | c1_1(X73) ) ) )
    & ( hskp12
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c3_1(X72)
            | c2_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c3_1(X71)
            | c1_1(X71) ) ) )
    & ( hskp12
      | hskp7
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp17
      | hskp16
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c2_1(X69)
            | c1_1(X69) ) ) )
    & ( hskp15
      | hskp3
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp28
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c0_1(X67)
            | c2_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) ) )
    & ( hskp10
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c2_1(X64)
            | c0_1(X64) ) ) )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | ~ c0_1(X63)
            | c2_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | c3_1(X62)
            | c1_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c2_1(X61)
            | c0_1(X61) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c1_1(X60)
            | ~ c0_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp14
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp7
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp8
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c0_1(X53)
            | c3_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp10
      | hskp27
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp13
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c3_1(X50)
            | c1_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp9
      | ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | c3_1(X48)
            | c1_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c1_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp9
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp12
      | hskp0
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | c3_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp11
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | ~ c0_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c3_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp10
      | ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | ~ c1_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp9
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c2_1(X39)
            | c0_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp8
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c2_1(X37)
            | c1_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | c0_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c1_1(X34)
            | c0_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c2_1(X33)
            | c0_1(X33) ) ) )
    & ( hskp7
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c2_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp27
      | ! [X30] :
          ( ndr1_0
         => ( c3_1(X30)
            | c2_1(X30)
            | c1_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | c2_1(X29)
            | c0_1(X29) ) ) )
    & ( hskp2
      | hskp6
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c1_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp26
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | ~ c0_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c1_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp4
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | ~ c1_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c1_1(X24)
            | c0_1(X24) ) ) )
    & ( hskp5
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c1_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c3_1(X22)
            | c1_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp4
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c1_1(X21)
            | c2_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c3_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c1_1(X19)
            | c3_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c2_1(X18)
            | c1_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp3
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c1_1(X16)
            | c0_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp2
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c1_1(X14)
            | c0_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c3_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( hskp0
      | ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | c2_1(X12)
            | c0_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) ) )
    & ( hskp1
      | hskp0
      | ! [X10] :
          ( ndr1_0
         => ( c2_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c2_1(X8)
            | c1_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp25
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | c3_1(X6)
            | c1_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | c3_1(X4)
            | c2_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | c0_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) ) )
    & ( hskp0
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c1_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c2_1(a490)
        & c1_1(a490)
        & c0_1(a490)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a473)
        & c1_1(a473)
        & c0_1(a473)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a470)
        & c2_1(a470)
        & c1_1(a470)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a461)
        & c2_1(a461)
        & c0_1(a461)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a540)
        & ~ c1_1(a540)
        & c0_1(a540)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a533)
        & ~ c1_1(a533)
        & c0_1(a533)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a524)
        & c1_1(a524)
        & c0_1(a524)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a512)
        & c3_1(a512)
        & c0_1(a512)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a503)
        & c3_1(a503)
        & c2_1(a503)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a502)
        & c3_1(a502)
        & c2_1(a502)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a500)
        & c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a494)
        & ~ c1_1(a494)
        & ~ c0_1(a494)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a493)
        & ~ c0_1(a493)
        & c1_1(a493)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a492)
        & c3_1(a492)
        & c1_1(a492)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a488)
        & ~ c2_1(a488)
        & ~ c1_1(a488)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a483)
        & c2_1(a483)
        & c0_1(a483)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a480)
        & ~ c1_1(a480)
        & ~ c0_1(a480)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a477)
        & c2_1(a477)
        & c1_1(a477)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a476)
        & c2_1(a476)
        & c0_1(a476)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a475)
        & c1_1(a475)
        & c0_1(a475)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a474)
        & ~ c1_1(a474)
        & c3_1(a474)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a471)
        & ~ c1_1(a471)
        & c2_1(a471)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a468)
        & c3_1(a468)
        & c0_1(a468)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a467)
        & ~ c0_1(a467)
        & c3_1(a467)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a466)
        & c3_1(a466)
        & c1_1(a466)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a465)
        & ~ c2_1(a465)
        & ~ c0_1(a465)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a463)
        & ~ c0_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a460)
        & ~ c2_1(a460)
        & c0_1(a460)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp12
      | hskp6
      | hskp20 )
    & ( hskp16
      | hskp15
      | hskp24 )
    & ( hskp11
      | hskp5 )
    & ( hskp6
      | hskp10
      | hskp21 )
    & ( hskp20
      | hskp23
      | hskp9 )
    & ( hskp14
      | hskp5
      | hskp25 )
    & ( hskp16
      | hskp15
      | hskp8 )
    & ( hskp17
      | hskp22
      | hskp27 )
    & ( hskp10
      | hskp26
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c2_1(X92)
          | ~ c0_1(X92)
          | c3_1(X92) ) )
    & ( hskp12
      | hskp15
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c1_1(X91)
          | c2_1(X91) ) )
    & ( hskp2
      | hskp15
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | c2_1(X90) ) )
    & ( hskp20
      | hskp18
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89) ) )
    & ( hskp7
      | hskp11
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | c3_1(X88)
          | c2_1(X88) ) )
    & ( hskp21
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c0_1(X87)
          | c2_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | c3_1(X86)
          | c2_1(X86) ) )
    & ( hskp3
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c1_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c0_1(X84)
          | c3_1(X84)
          | c2_1(X84) ) )
    & ( hskp1
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c2_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c0_1(X82)
          | c3_1(X82)
          | c2_1(X82) ) )
    & ( hskp12
      | hskp3
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81) ) )
    & ( hskp17
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c2_1(X80)
          | ~ c0_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c2_1(X79)
          | ~ c0_1(X79)
          | c1_1(X79) ) )
    & ( hskp9
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77) ) )
    & ( hskp14
      | hskp12
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | c3_1(X76)
          | c1_1(X76) ) )
    & ( hskp20
      | hskp19
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75) ) )
    & ( hskp2
      | hskp18
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c3_1(X74)
          | c1_1(X74) ) )
    & ( hskp16
      | hskp27
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c0_1(X73)
          | c3_1(X73)
          | c1_1(X73) ) )
    & ( hskp12
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c3_1(X72)
          | c2_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( hskp12
      | hskp7
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp17
      | hskp16
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c0_1(X69)
          | c2_1(X69)
          | c1_1(X69) ) )
    & ( hskp15
      | hskp3
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp28
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c0_1(X67)
          | c2_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( hskp10
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c2_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64) ) )
    & ( ! [X63] :
          ( ~ ndr1_0
          | ~ c1_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | c3_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c2_1(X61)
          | c0_1(X61) ) )
    & ( ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c1_1(X60)
          | ~ c0_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | c3_1(X59)
          | c2_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58) ) )
    & ( hskp14
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c0_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( hskp7
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) ) )
    & ( hskp8
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | ~ c0_1(X53)
          | c3_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52) ) )
    & ( hskp10
      | hskp27
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp13
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c0_1(X50)
          | c3_1(X50)
          | c1_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49) ) )
    & ( hskp9
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c0_1(X48)
          | c3_1(X48)
          | c1_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47) ) )
    & ( hskp9
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45) ) )
    & ( hskp12
      | hskp0
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( hskp11
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ c0_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c3_1(X42)
          | c0_1(X42) ) )
    & ( hskp10
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp9
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp8
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | ~ c2_1(X37)
          | c1_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c2_1(X35)
          | c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c1_1(X34)
          | c0_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp7
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c0_1(X32)
          | c3_1(X32)
          | c2_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp27
      | ! [X30] :
          ( ~ ndr1_0
          | c3_1(X30)
          | c2_1(X30)
          | c1_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp2
      | hskp6
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c2_1(X28)
          | c1_1(X28)
          | c0_1(X28) ) )
    & ( hskp26
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp4
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c2_1(X25)
          | ~ c1_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp5
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp4
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | ~ c1_1(X21)
          | c2_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | c3_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp3
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c1_1(X16)
          | c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp2
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp0
      | ! [X12] :
          ( ~ ndr1_0
          | c3_1(X12)
          | c2_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp1
      | hskp0
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c2_1(X8)
          | c1_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c2_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp25
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c0_1(X6)
          | c3_1(X6)
          | c1_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | ~ c0_1(X4)
          | c3_1(X4)
          | c2_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c3_1(X3)
          | ~ c1_1(X3)
          | c0_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a490)
        & c1_1(a490)
        & c0_1(a490)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a473)
        & c1_1(a473)
        & c0_1(a473)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a470)
        & c2_1(a470)
        & c1_1(a470)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a461)
        & c2_1(a461)
        & c0_1(a461)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a540)
        & ~ c1_1(a540)
        & c0_1(a540)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a533)
        & ~ c1_1(a533)
        & c0_1(a533)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a524)
        & c1_1(a524)
        & c0_1(a524)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a512)
        & c3_1(a512)
        & c0_1(a512)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a503)
        & c3_1(a503)
        & c2_1(a503)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a502)
        & c3_1(a502)
        & c2_1(a502)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a500)
        & c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a494)
        & ~ c1_1(a494)
        & ~ c0_1(a494)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a493)
        & ~ c0_1(a493)
        & c1_1(a493)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a492)
        & c3_1(a492)
        & c1_1(a492)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a488)
        & ~ c2_1(a488)
        & ~ c1_1(a488)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a483)
        & c2_1(a483)
        & c0_1(a483)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a480)
        & ~ c1_1(a480)
        & ~ c0_1(a480)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a477)
        & c2_1(a477)
        & c1_1(a477)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a476)
        & c2_1(a476)
        & c0_1(a476)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a475)
        & c1_1(a475)
        & c0_1(a475)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a474)
        & ~ c1_1(a474)
        & c3_1(a474)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a471)
        & ~ c1_1(a471)
        & c2_1(a471)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a468)
        & c3_1(a468)
        & c0_1(a468)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a467)
        & ~ c0_1(a467)
        & c3_1(a467)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a466)
        & c3_1(a466)
        & c1_1(a466)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a465)
        & ~ c2_1(a465)
        & ~ c0_1(a465)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a463)
        & ~ c0_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a460)
        & ~ c2_1(a460)
        & c0_1(a460)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp12
      | hskp6
      | hskp20 )
    & ( hskp16
      | hskp15
      | hskp24 )
    & ( hskp11
      | hskp5 )
    & ( hskp6
      | hskp10
      | hskp21 )
    & ( hskp20
      | hskp23
      | hskp9 )
    & ( hskp14
      | hskp5
      | hskp25 )
    & ( hskp16
      | hskp15
      | hskp8 )
    & ( hskp17
      | hskp22
      | hskp27 )
    & ( hskp10
      | hskp26
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c2_1(X92)
          | ~ c0_1(X92)
          | c3_1(X92) ) )
    & ( hskp12
      | hskp15
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c1_1(X91)
          | c2_1(X91) ) )
    & ( hskp2
      | hskp15
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | c2_1(X90) ) )
    & ( hskp20
      | hskp18
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89) ) )
    & ( hskp7
      | hskp11
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | c3_1(X88)
          | c2_1(X88) ) )
    & ( hskp21
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c0_1(X87)
          | c2_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | c3_1(X86)
          | c2_1(X86) ) )
    & ( hskp3
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c1_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c0_1(X84)
          | c3_1(X84)
          | c2_1(X84) ) )
    & ( hskp1
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c2_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c0_1(X82)
          | c3_1(X82)
          | c2_1(X82) ) )
    & ( hskp12
      | hskp3
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81) ) )
    & ( hskp17
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c2_1(X80)
          | ~ c0_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c2_1(X79)
          | ~ c0_1(X79)
          | c1_1(X79) ) )
    & ( hskp9
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77) ) )
    & ( hskp14
      | hskp12
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | c3_1(X76)
          | c1_1(X76) ) )
    & ( hskp20
      | hskp19
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75) ) )
    & ( hskp2
      | hskp18
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c3_1(X74)
          | c1_1(X74) ) )
    & ( hskp16
      | hskp27
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c0_1(X73)
          | c3_1(X73)
          | c1_1(X73) ) )
    & ( hskp12
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c3_1(X72)
          | c2_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( hskp12
      | hskp7
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp17
      | hskp16
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c0_1(X69)
          | c2_1(X69)
          | c1_1(X69) ) )
    & ( hskp15
      | hskp3
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp28
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c0_1(X67)
          | c2_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( hskp10
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c2_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64) ) )
    & ( ! [X63] :
          ( ~ ndr1_0
          | ~ c1_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | c3_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c2_1(X61)
          | c0_1(X61) ) )
    & ( ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c1_1(X60)
          | ~ c0_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | c3_1(X59)
          | c2_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58) ) )
    & ( hskp14
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c0_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( hskp7
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) ) )
    & ( hskp8
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | ~ c0_1(X53)
          | c3_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52) ) )
    & ( hskp10
      | hskp27
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp13
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c0_1(X50)
          | c3_1(X50)
          | c1_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49) ) )
    & ( hskp9
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c0_1(X48)
          | c3_1(X48)
          | c1_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47) ) )
    & ( hskp9
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c2_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45) ) )
    & ( hskp12
      | hskp0
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( hskp11
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ c0_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c3_1(X42)
          | c0_1(X42) ) )
    & ( hskp10
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp9
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | ~ c2_1(X39)
          | c0_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp8
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | ~ c2_1(X37)
          | c1_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c2_1(X35)
          | c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | ~ c1_1(X34)
          | c0_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp7
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c0_1(X32)
          | c3_1(X32)
          | c2_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp27
      | ! [X30] :
          ( ~ ndr1_0
          | c3_1(X30)
          | c2_1(X30)
          | c1_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp2
      | hskp6
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c2_1(X28)
          | c1_1(X28)
          | c0_1(X28) ) )
    & ( hskp26
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp4
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | ~ c2_1(X25)
          | ~ c1_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp5
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c2_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp4
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | ~ c1_1(X21)
          | c2_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | c3_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp3
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c1_1(X16)
          | c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp2
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp0
      | ! [X12] :
          ( ~ ndr1_0
          | c3_1(X12)
          | c2_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp1
      | hskp0
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c2_1(X8)
          | c1_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c2_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp25
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c0_1(X6)
          | c3_1(X6)
          | c1_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | ~ c0_1(X4)
          | c3_1(X4)
          | c2_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c3_1(X3)
          | ~ c1_1(X3)
          | c0_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a490)
        & c1_1(a490)
        & c0_1(a490)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a473)
        & c1_1(a473)
        & c0_1(a473)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a470)
        & c2_1(a470)
        & c1_1(a470)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a461)
        & c2_1(a461)
        & c0_1(a461)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a540)
        & ~ c1_1(a540)
        & c0_1(a540)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a533)
        & ~ c1_1(a533)
        & c0_1(a533)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a524)
        & c1_1(a524)
        & c0_1(a524)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a512)
        & c3_1(a512)
        & c0_1(a512)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a503)
        & c3_1(a503)
        & c2_1(a503)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a502)
        & c3_1(a502)
        & c2_1(a502)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a500)
        & c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a494)
        & ~ c1_1(a494)
        & ~ c0_1(a494)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a493)
        & ~ c0_1(a493)
        & c1_1(a493)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a492)
        & c3_1(a492)
        & c1_1(a492)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a488)
        & ~ c2_1(a488)
        & ~ c1_1(a488)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a483)
        & c2_1(a483)
        & c0_1(a483)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a480)
        & ~ c1_1(a480)
        & ~ c0_1(a480)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a477)
        & c2_1(a477)
        & c1_1(a477)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a476)
        & c2_1(a476)
        & c0_1(a476)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a475)
        & c1_1(a475)
        & c0_1(a475)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a474)
        & ~ c1_1(a474)
        & c3_1(a474)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a471)
        & ~ c1_1(a471)
        & c2_1(a471)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a468)
        & c3_1(a468)
        & c0_1(a468)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a467)
        & ~ c0_1(a467)
        & c3_1(a467)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c0_1(a466)
        & c3_1(a466)
        & c1_1(a466)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a465)
        & ~ c2_1(a465)
        & ~ c0_1(a465)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a463)
        & ~ c0_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a460)
        & ~ c2_1(a460)
        & c0_1(a460)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp12
    | hskp6
    | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp20
    | hskp23
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp17
    | hskp22
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X90] :
      ( hskp2
      | hskp15
      | ~ ndr1_0
      | ~ c1_1(X90)
      | ~ c0_1(X90)
      | c2_1(X90) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X89] :
      ( hskp20
      | hskp18
      | ~ ndr1_0
      | ~ c1_1(X89)
      | ~ c0_1(X89)
      | c2_1(X89) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X88] :
      ( hskp7
      | hskp11
      | ~ ndr1_0
      | ~ c1_1(X88)
      | c3_1(X88)
      | c2_1(X88) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X81] :
      ( hskp12
      | hskp3
      | ~ ndr1_0
      | ~ c3_1(X81)
      | ~ c0_1(X81)
      | c1_1(X81) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X76] :
      ( hskp14
      | hskp12
      | ~ ndr1_0
      | ~ c2_1(X76)
      | c3_1(X76)
      | c1_1(X76) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X75] :
      ( hskp20
      | hskp19
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c3_1(X75)
      | c1_1(X75) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X68] :
      ( hskp15
      | hskp3
      | ~ ndr1_0
      | c3_1(X68)
      | c2_1(X68)
      | c1_1(X68) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X44] :
      ( hskp12
      | hskp0
      | ~ ndr1_0
      | ~ c2_1(X44)
      | c3_1(X44)
      | c0_1(X44) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X28] :
      ( hskp2
      | hskp6
      | ~ ndr1_0
      | ~ c2_1(X28)
      | c1_1(X28)
      | c0_1(X28) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X10] :
      ( hskp1
      | hskp0
      | ~ ndr1_0
      | c2_1(X10)
      | c1_1(X10)
      | c0_1(X10) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( c3_1(a473)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( c1_1(a473)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( c0_1(a473)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( c3_1(a470)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( c2_1(a470)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( c1_1(a470)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( c3_1(a461)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( c2_1(a461)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c0_1(a461)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ c3_1(a533)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ c1_1(a533)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a533)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ c2_1(a524)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c1_1(a524)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c0_1(a524)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f93,plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c1_1(a503)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( c3_1(a503)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c2_1(a503)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c0_1(a502)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( c3_1(a502)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c2_1(a502)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c0_1(a500)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( c2_1(a500)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c1_1(a500)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c3_1(a494)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ c1_1(a494)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ c0_1(a494)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f113,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( c3_1(a492)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c1_1(a492)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c3_1(a488)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ c2_1(a488)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ c1_1(a488)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c2_1(a480)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c1_1(a480)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ c0_1(a480)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c3_1(a478)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c0_1(a478)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c2_1(a478)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c1_1(a476)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c2_1(a476)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c0_1(a476)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c2_1(a474)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c1_1(a474)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c3_1(a474)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c3_1(a471)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c1_1(a471)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c2_1(a471)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c0_1(a466)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c3_1(a466)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c1_1(a466)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c3_1(a465)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c2_1(a465)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ c0_1(a465)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c0_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c2_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c3_1(a460)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ c2_1(a460)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c0_1(a460)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c0_1(a460)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a460) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a460) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_54,negated_conjecture,
    ( c2_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a463) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a463) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_58,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a465) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a465) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a465) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_62,negated_conjecture,
    ( c1_1(a466)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_63,negated_conjecture,
    ( c3_1(a466)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a466) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_74,negated_conjecture,
    ( c2_1(a471)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_75,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a471) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a471) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_78,negated_conjecture,
    ( c3_1(a474)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a474) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a474) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_86,negated_conjecture,
    ( c0_1(a476)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_87,negated_conjecture,
    ( c2_1(a476)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a476) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_94,negated_conjecture,
    ( c2_1(a478)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a478) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a478) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_98,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a480) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a480) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a480) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_106,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a488) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_107,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a488) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a488) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_110,negated_conjecture,
    ( c1_1(a492)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_111,negated_conjecture,
    ( c3_1(a492)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_117,negated_conjecture,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_118,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a494) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a494) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a494) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_122,negated_conjecture,
    ( c1_1(a500)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_123,negated_conjecture,
    ( c2_1(a500)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a500) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_126,negated_conjecture,
    ( c2_1(a502)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_127,negated_conjecture,
    ( c3_1(a502)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a502) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_130,negated_conjecture,
    ( c2_1(a503)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_131,negated_conjecture,
    ( c3_1(a503)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a503) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_137,negated_conjecture,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_138,negated_conjecture,
    ( c0_1(a524)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_139,negated_conjecture,
    ( c1_1(a524)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a524) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_142,negated_conjecture,
    ( c0_1(a533)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_143,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a533) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a533) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_150,negated_conjecture,
    ( c0_1(a461)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_151,negated_conjecture,
    ( c2_1(a461)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_152,negated_conjecture,
    ( c3_1(a461)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_154,negated_conjecture,
    ( c1_1(a470)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_155,negated_conjecture,
    ( c2_1(a470)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_156,negated_conjecture,
    ( c3_1(a470)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_157,negated_conjecture,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_158,negated_conjecture,
    ( c0_1(a473)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_159,negated_conjecture,
    ( c1_1(a473)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_160,negated_conjecture,
    ( c3_1(a473)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_161,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_165,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_166,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_167,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_168,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_169,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_170,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_173,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp2
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp0
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp3
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp19
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp12
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp3
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp7
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp18
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp2
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_217,negated_conjecture,
    ( hskp27
    | hskp22
    | hskp17 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_220,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp9 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_224,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_225,plain,
    ( hskp15
    | hskp3
    | c1_1(a460)
    | c3_1(a460)
    | c2_1(a460)
    | ~ ndr1_0 ),
    inference(instantiation,[status(thm)],[c_198]) ).

tcf(c_244,plain,
    ( hskp12
    | c1_1(a460)
    | c3_1(a460)
    | c2_1(a460)
    | ~ ndr1_0
    | ~ c0_1(a460) ),
    inference(instantiation,[status(thm)],[c_201]) ).

tcf(c_247,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_161,c_217,c_157,c_137,c_117]) ).

tcf(c_305,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp3
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_217,c_157,c_137,c_117,c_198]) ).

tcf(c_308,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_217,c_157,c_137,c_117,c_169]) ).

tcf(c_311,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp7
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_217,c_157,c_137,c_117,c_212]) ).

tcf(c_314,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp12
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_217,c_157,c_137,c_117,c_205]) ).

tcf(c_317,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp19
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_217,c_157,c_137,c_117,c_204]) ).

tcf(c_332,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp0
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_217,c_157,c_137,c_117,c_186]) ).

tcf(c_335,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp2
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_217,c_157,c_137,c_117,c_178]) ).

tcf(c_344,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp2
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_217,c_157,c_137,c_117,c_214]) ).

tcf(c_345,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp2
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_344]) ).

tcf(c_347,plain,
    ! [X0: $i] :
      ( hskp20
      | hskp18
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_217,c_157,c_137,c_117,c_213]) ).

tcf(c_348,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp18
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_347]) ).

tcf(c_350,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp3
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_217,c_157,c_137,c_117,c_208]) ).

tcf(c_351,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp3
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_350]) ).

tcf(c_356,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_217,c_157,c_137,c_117,c_179]) ).

tcf(c_359,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_217,c_157,c_137,c_117,c_170]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_217,c_157,c_137,c_117,c_180]) ).

tcf(c_364,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp25
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_167,c_217,c_157,c_137,c_117,c_167]) ).

tcf(c_366,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_165,c_217,c_157,c_137,c_117,c_165]) ).

tcf(c_368,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_217,c_157,c_137,c_117,c_201]) ).

tcf(c_369,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_368]) ).

tcf(c_379,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_211,c_247]) ).

tcf(c_380,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_379]) ).

tcf(c_383,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_217,c_157,c_137,c_117,c_188]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_383]) ).

tcf(c_385,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_217,c_157,c_137,c_117,c_187]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_385]) ).

tcf(c_387,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_217,c_157,c_137,c_117,c_183]) ).

tcf(c_388,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_387]) ).

tcf(c_395,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_217,c_157,c_137,c_117,c_210]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_395]) ).

tcf(c_399,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_217,c_157,c_137,c_117,c_206]) ).

tcf(c_400,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_399]) ).

tcf(c_408,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_217,c_157,c_137,c_117,c_177]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_408]) ).

tcf(c_410,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_217,c_157,c_137,c_117,c_207]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_410]) ).

tcf(c_415,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_217,c_157,c_137,c_117,c_193]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_415]) ).

tcf(c_419,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_217,c_157,c_137,c_117,c_173]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_419]) ).

tcf(c_421,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_166,c_217,c_157,c_137,c_117,c_166]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_421]) ).

tcf(c_423,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_168,c_217,c_157,c_137,c_117,c_168]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_423]) ).

tcf(c_425,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_217,c_157,c_137,c_117,c_195]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_425]) ).

tcf(c_427,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_217,c_157,c_137,c_117,c_194]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_427]) ).

tcf(c_429,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_217,c_157,c_137,c_117,c_181]) ).

tcf(c_430,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_429]) ).

tcf(c_1479,plain,
    ( hskp27
    | hskp17
    | ~ c2_1(a524) ),
    inference(resolution,[status(thm)],[c_217,c_140]) ).

tcf(c_1489,plain,
    ( hskp27
    | hskp17
    | c1_1(a524) ),
    inference(resolution,[status(thm)],[c_217,c_139]) ).

tcf(c_1499,plain,
    ( hskp27
    | hskp17
    | c0_1(a524) ),
    inference(resolution,[status(thm)],[c_217,c_138]) ).

tcf(c_1518,plain,
    ( hskp20
    | hskp9
    | ~ c3_1(a533) ),
    inference(resolution,[status(thm)],[c_220,c_144]) ).

tcf(c_1528,plain,
    ( hskp20
    | hskp9
    | ~ c1_1(a533) ),
    inference(resolution,[status(thm)],[c_220,c_143]) ).

tcf(c_1538,plain,
    ( hskp20
    | hskp9
    | c0_1(a533) ),
    inference(resolution,[status(thm)],[c_220,c_142]) ).

tcf(c_2346,plain,
    ( hskp20
    | hskp12
    | ~ c3_1(a471) ),
    inference(resolution,[status(thm)],[c_224,c_76]) ).

tcf(c_2356,plain,
    ( hskp20
    | hskp12
    | ~ c1_1(a471) ),
    inference(resolution,[status(thm)],[c_224,c_75]) ).

tcf(c_2366,plain,
    ( hskp20
    | hskp12
    | c2_1(a471) ),
    inference(resolution,[status(thm)],[c_224,c_74]) ).

tcf(c_4068,plain,
    ! [X0: $i] :
      ( hskp15
      | c2_1(X0)
      | ~ c3_1(a465)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_345,c_60]) ).

tcf(c_4069,plain,
    ( hskp15
    | c2_1(a460)
    | ~ c1_1(a460)
    | ~ c3_1(a465)
    | ~ c0_1(a460) ),
    inference(instantiation,[status(thm)],[c_4068]) ).

tcf(c_4085,plain,
    ! [X0: $i] :
      ( hskp15
      | c2_1(X0)
      | ~ c2_1(a465)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_345,c_59]) ).

tcf(c_4086,plain,
    ( hskp15
    | c2_1(a460)
    | ~ c1_1(a460)
    | ~ c2_1(a465)
    | ~ c0_1(a460) ),
    inference(instantiation,[status(thm)],[c_4085]) ).

tcf(c_4102,plain,
    ! [X0: $i] :
      ( hskp15
      | c2_1(X0)
      | ~ c0_1(a465)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_345,c_58]) ).

tcf(c_4103,plain,
    ( hskp15
    | c2_1(a460)
    | ~ c1_1(a460)
    | ~ c0_1(a465)
    | ~ c0_1(a460) ),
    inference(instantiation,[status(thm)],[c_4102]) ).

tcf(c_14136,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_430]) ).

tcf(c_14138,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_430]) ).

tcf(c_14140,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_428]) ).

tcf(c_14141,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_428]) ).

tcf(c_14143,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_426]) ).

tcf(c_14144,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_426]) ).

tcf(c_14145,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

tcf(c_14147,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_424]) ).

tcf(c_14150,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_422]) ).

tcf(c_14151,negated_conjecture,
    ( iPr_def_20
    | iPr_def_18
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

tcf(c_14152,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_420]) ).

tcf(c_14157,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_416]) ).

tcf(c_14159,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_411]) ).

tcf(c_14160,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

tcf(c_14161,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_409]) ).

tcf(c_14162,negated_conjecture,
    ( iPr_def_26
    | iPr_def_24
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_409]) ).

tcf(c_14168,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_400]) ).

tcf(c_14169,negated_conjecture,
    ( iPr_def_29
    | iPr_def_25
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_400]) ).

tcf(c_14171,negated_conjecture,
    ( iPr_def_20
    | iPr_def_14
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_396]) ).

tcf(c_14174,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_388]) ).

tcf(c_14175,negated_conjecture,
    ( iPr_def_30
    | iPr_def_12
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_388]) ).

tcf(c_14176,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_386]) ).

tcf(c_14177,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_386]) ).

tcf(c_14178,negated_conjecture,
    ( iPr_def_32
    | iPr_def_31
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

tcf(c_14179,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_384]) ).

tcf(c_14180,negated_conjecture,
    ( iPr_def_33
    | iPr_def_31
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

tcf(c_14182,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_380]) ).

tcf(c_14190,negated_conjecture,
    ( iPr_def_33
    | iPr_def_20
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_369]) ).

tcf(c_14191,negated_conjecture,
    ( iPr_def_26
    | iPr_def_18
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_366]) ).

tcf(c_14192,negated_conjecture,
    ( iPr_def_33
    | iPr_def_18
    | hskp25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_364]) ).

tcf(c_14193,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_362]) ).

tcf(c_14194,negated_conjecture,
    ( iPr_def_37
    | iPr_def_20
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_14195,negated_conjecture,
    ( iPr_def_37
    | iPr_def_21
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_359]) ).

tcf(c_14196,negated_conjecture,
    ( iPr_def_37
    | iPr_def_13
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

tcf(c_14198,negated_conjecture,
    ( iPr_def_29
    | hskp12
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_351]) ).

tcf(c_14199,negated_conjecture,
    ( iPr_def_16
    | hskp20
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_348]) ).

tcf(c_14200,negated_conjecture,
    ( iPr_def_16
    | hskp15
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_345]) ).

tcf(c_14204,negated_conjecture,
    ( iPr_def_26
    | hskp6
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_335]) ).

tcf(c_14205,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_332]) ).

tcf(c_14206,negated_conjecture,
    ( iPr_def_39
    | hskp12
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_332]) ).

tcf(c_14212,negated_conjecture,
    ( iPr_def_15
    | hskp20
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_317]) ).

tcf(c_14213,negated_conjecture,
    ( iPr_def_15
    | hskp14
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_314]) ).

tcf(c_14214,negated_conjecture,
    ( iPr_def_34
    | hskp11
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_311]) ).

tcf(c_14215,negated_conjecture,
    ( iPr_def_18
    | hskp1
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_308]) ).

tcf(c_14216,negated_conjecture,
    ( iPr_def_13
    | hskp15
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_305]) ).

tcf(c_14234,negated_conjecture,
    ( iPr_def_16
    | iPr_def_15
    | iPr_def_12 ),
    inference(demodulation,[status(thm)],[c_14145]) ).

tcf(c_14242,negated_conjecture,
    ( iPr_def_20
    | iPr_def_18
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_14151]) ).

tcf(c_14256,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_14160]) ).

tcf(c_14259,negated_conjecture,
    ( iPr_def_26
    | iPr_def_24
    | hskp26 ),
    inference(demodulation,[status(thm)],[c_14162]) ).

tcf(c_14266,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14157]) ).

tcf(c_14271,negated_conjecture,
    ( iPr_def_29
    | iPr_def_25
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_14169]) ).

tcf(c_14272,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_25
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14159]) ).

tcf(c_14277,negated_conjecture,
    ( iPr_def_20
    | iPr_def_14
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_14171]) ).

tcf(c_14279,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14141]) ).

tcf(c_14286,negated_conjecture,
    ( iPr_def_30
    | iPr_def_12
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_14175]) ).

tcf(c_14287,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_12
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14138]) ).

tcf(c_14288,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_30
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14174]) ).

tcf(c_14289,negated_conjecture,
    ( iPr_def_32
    | iPr_def_31
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_14178]) ).

tcf(c_14292,negated_conjecture,
    ( iPr_def_33
    | iPr_def_31
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_14180]) ).

tcf(c_14305,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_10
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_14136]) ).

tcf(c_14313,negated_conjecture,
    ( iPr_def_33
    | iPr_def_20
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_14190]) ).

tcf(c_14316,negated_conjecture,
    ( iPr_def_26
    | iPr_def_18
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_14191]) ).

tcf(c_14319,negated_conjecture,
    ( iPr_def_33
    | iPr_def_18
    | hskp25 ),
    inference(demodulation,[status(thm)],[c_14192]) ).

tcf(c_14322,negated_conjecture,
    ( iPr_def_37
    | iPr_def_20
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_14194]) ).

tcf(c_14323,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_20
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14150]) ).

tcf(c_14325,negated_conjecture,
    ( iPr_def_37
    | iPr_def_21
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_14195]) ).

tcf(c_14326,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_21 ),
    inference(demodulation,[status(thm)],[c_14152]) ).

tcf(c_14328,negated_conjecture,
    ( iPr_def_37
    | iPr_def_13
    | hskp27 ),
    inference(demodulation,[status(thm)],[c_14196]) ).

tcf(c_14329,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_37 ),
    inference(demodulation,[status(thm)],[c_14193]) ).

tcf(c_14332,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_31
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14176]) ).

tcf(c_14333,negated_conjecture,
    ( iPr_def_29
    | hskp12
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_14198]) ).

tcf(c_14334,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_29
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14168]) ).

tcf(c_14335,negated_conjecture,
    ( iPr_def_16
    | hskp20
    | hskp18 ),
    inference(demodulation,[status(thm)],[c_14199]) ).

tcf(c_14337,negated_conjecture,
    ( iPr_def_16
    | hskp15
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_14200]) ).

tcf(c_14338,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_16
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14144]) ).

tcf(c_14343,negated_conjecture,
    ( iPr_def_26
    | hskp6
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_14204]) ).

tcf(c_14344,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_26
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14161]) ).

tcf(c_14345,negated_conjecture,
    ( iPr_def_39
    | hskp12
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_14206]) ).

tcf(c_14346,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_39
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14205]) ).

tcf(c_14348,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ iPr_def_32
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14177]) ).

tcf(c_14354,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ iPr_def_33
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_14179]) ).

tcf(c_14355,negated_conjecture,
    ( iPr_def_15
    | hskp20
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_14212]) ).

tcf(c_14357,negated_conjecture,
    ( iPr_def_15
    | hskp14
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_14213]) ).

tcf(c_14358,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ iPr_def_15
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_14143]) ).

tcf(c_14359,negated_conjecture,
    ( iPr_def_34
    | hskp11
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_14214]) ).

tcf(c_14360,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_34
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_14182]) ).

tcf(c_14361,negated_conjecture,
    ( iPr_def_18
    | hskp1
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_14215]) ).

tcf(c_14362,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_18 ),
    inference(demodulation,[status(thm)],[c_14147]) ).

tcf(c_14363,negated_conjecture,
    ( iPr_def_13
    | hskp15
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_14216]) ).

tcf(c_14364,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_14140]) ).

tcf(c_14456,plain,
    ( c3_1(a460)
    | c2_1(a460)
    | ~ iPr_def_20
    | ~ c0_1(a460) ),
    inference(instantiation,[status(thm)],[c_14323]) ).

tcf(c_14467,plain,
    ( c2_1(a460)
    | ~ iPr_def_16
    | ~ c1_1(a460)
    | ~ c0_1(a460) ),
    inference(instantiation,[status(thm)],[c_14338]) ).

tcf(c_14480,plain,
    ( ~ iPr_def_24
    | ~ c3_1(a476)
    | ~ c2_1(a476)
    | ~ c0_1(a476) ),
    inference(instantiation,[status(thm)],[c_14266]) ).

tcf(c_14484,plain,
    ( ~ iPr_def_24
    | ~ c3_1(a503)
    | ~ c2_1(a503)
    | ~ c0_1(a503) ),
    inference(instantiation,[status(thm)],[c_14266]) ).

tcf(c_14485,plain,
    ( ~ iPr_def_24
    | ~ c3_1(a461)
    | ~ c2_1(a461)
    | ~ c0_1(a461) ),
    inference(instantiation,[status(thm)],[c_14266]) ).

tcf(c_14498,plain,
    ( c0_1(a503)
    | ~ iPr_def_12
    | ~ c3_1(a503)
    | ~ c2_1(a503) ),
    inference(instantiation,[status(thm)],[c_14287]) ).

tcf(c_14502,plain,
    ( c0_1(a466)
    | ~ iPr_def_10
    | ~ c1_1(a466)
    | ~ c3_1(a466) ),
    inference(instantiation,[status(thm)],[c_14305]) ).

tcf(c_14511,plain,
    ( c1_1(a480)
    | c3_1(a480)
    | c2_1(a480)
    | ~ iPr_def_13 ),
    inference(instantiation,[status(thm)],[c_14364]) ).

tcf(c_14517,plain,
    ( c0_1(a470)
    | ~ iPr_def_12
    | ~ c3_1(a470)
    | ~ c2_1(a470) ),
    inference(instantiation,[status(thm)],[c_14287]) ).

tcf(c_14521,plain,
    ( c1_1(a476)
    | ~ iPr_def_25
    | ~ c2_1(a476)
    | ~ c0_1(a476) ),
    inference(instantiation,[status(thm)],[c_14272]) ).

tcf(c_14525,plain,
    ( c1_1(a503)
    | ~ iPr_def_25
    | ~ c2_1(a503)
    | ~ c0_1(a503) ),
    inference(instantiation,[status(thm)],[c_14272]) ).

tcf(c_14536,plain,
    ( ~ iPr_def_14
    | ~ c1_1(a492)
    | ~ c3_1(a492)
    | ~ c0_1(a492) ),
    inference(instantiation,[status(thm)],[c_14279]) ).

tcf(c_14540,plain,
    ( ~ iPr_def_14
    | ~ c1_1(a470)
    | ~ c3_1(a470)
    | ~ c0_1(a470) ),
    inference(instantiation,[status(thm)],[c_14279]) ).

tcf(c_14541,plain,
    ( ~ iPr_def_14
    | ~ c1_1(a473)
    | ~ c3_1(a473)
    | ~ c0_1(a473) ),
    inference(instantiation,[status(thm)],[c_14279]) ).

tcf(c_14546,plain,
    ( c1_1(a480)
    | c3_1(a480)
    | c0_1(a480)
    | ~ iPr_def_21 ),
    inference(instantiation,[status(thm)],[c_14326]) ).

tcf(c_14559,plain,
    ( c1_1(a474)
    | c2_1(a474)
    | c0_1(a474)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_14362]) ).

tcf(c_14561,plain,
    ( c1_1(a480)
    | c2_1(a480)
    | c0_1(a480)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_14362]) ).

tcf(c_14562,plain,
    ( c1_1(a488)
    | c2_1(a488)
    | c0_1(a488)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_14362]) ).

tcf(c_14566,plain,
    ( c1_1(a476)
    | c3_1(a476)
    | ~ iPr_def_15
    | ~ c2_1(a476) ),
    inference(instantiation,[status(thm)],[c_14358]) ).

tcf(c_14592,plain,
    ( c0_1(a492)
    | ~ iPr_def_10
    | ~ c1_1(a492)
    | ~ c3_1(a492) ),
    inference(instantiation,[status(thm)],[c_14305]) ).

tcf(c_14600,plain,
    ( c1_1(a471)
    | c3_1(a471)
    | ~ iPr_def_15
    | ~ c2_1(a471) ),
    inference(instantiation,[status(thm)],[c_14358]) ).

tcf(c_14617,plain,
    ( c1_1(a533)
    | c3_1(a533)
    | c2_1(a533)
    | ~ iPr_def_13 ),
    inference(instantiation,[status(thm)],[c_14364]) ).

tcf(c_14642,plain,
    ( c1_1(a474)
    | ~ iPr_def_29
    | ~ c3_1(a474)
    | ~ c0_1(a474) ),
    inference(instantiation,[status(thm)],[c_14334]) ).

tcf(c_14651,plain,
    ( c3_1(a478)
    | c0_1(a478)
    | ~ iPr_def_39
    | ~ c2_1(a478) ),
    inference(instantiation,[status(thm)],[c_14346]) ).

tcf(c_14686,plain,
    ( c3_1(a488)
    | c2_1(a488)
    | ~ iPr_def_20
    | ~ c0_1(a488) ),
    inference(instantiation,[status(thm)],[c_14323]) ).

tcf(c_14689,plain,
    ( c1_1(a494)
    | c2_1(a494)
    | c0_1(a494)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_14362]) ).

tcf(c_14691,plain,
    ( c1_1(a494)
    | c3_1(a494)
    | c2_1(a494)
    | ~ iPr_def_13 ),
    inference(instantiation,[status(thm)],[c_14364]) ).

tcf(c_14729,plain,
    ( c0_1(a502)
    | ~ iPr_def_12
    | ~ c3_1(a502)
    | ~ c2_1(a502) ),
    inference(instantiation,[status(thm)],[c_14287]) ).

tcf(c_14736,plain,
    ( c0_1(a466)
    | ~ iPr_def_31
    | ~ c1_1(a466)
    | ~ c2_1(a466) ),
    inference(instantiation,[status(thm)],[c_14332]) ).

tcf(c_14818,plain,
    ( c3_1(a465)
    | c2_1(a465)
    | c0_1(a465)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_14329]) ).

tcf(c_14821,plain,
    ( c3_1(a480)
    | c2_1(a480)
    | c0_1(a480)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_14329]) ).

tcf(c_14868,plain,
    ( c1_1(a474)
    | c2_1(a474)
    | ~ iPr_def_32
    | ~ c0_1(a474) ),
    inference(instantiation,[status(thm)],[c_14348]) ).

tcf(c_14874,plain,
    ( c1_1(a476)
    | c3_1(a476)
    | ~ iPr_def_33
    | ~ c0_1(a476) ),
    inference(instantiation,[status(thm)],[c_14354]) ).

tcf(c_14876,plain,
    ( c1_1(a488)
    | c3_1(a488)
    | ~ iPr_def_33
    | ~ c0_1(a488) ),
    inference(instantiation,[status(thm)],[c_14354]) ).

tcf(c_14925,plain,
    ( c1_1(a465)
    | c2_1(a465)
    | c0_1(a465)
    | ~ iPr_def_18 ),
    inference(instantiation,[status(thm)],[c_14362]) ).

tcf(c_14937,plain,
    ( c2_1(a524)
    | ~ iPr_def_16
    | ~ c1_1(a524)
    | ~ c0_1(a524) ),
    inference(instantiation,[status(thm)],[c_14338]) ).

tcf(c_14970,plain,
    ( c3_1(a494)
    | c2_1(a494)
    | c0_1(a494)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_14329]) ).

tcf(c_15035,plain,
    ( c1_1(a503)
    | c0_1(a503)
    | ~ iPr_def_26
    | ~ c2_1(a503) ),
    inference(instantiation,[status(thm)],[c_14344]) ).

tcf(c_15048,plain,
    ( c1_1(a463)
    | c0_1(a463)
    | ~ iPr_def_26
    | ~ c2_1(a463) ),
    inference(instantiation,[status(thm)],[c_14344]) ).

tcf(c_15113,plain,
    ( c2_1(a466)
    | c0_1(a466)
    | ~ iPr_def_30
    | ~ c3_1(a466) ),
    inference(instantiation,[status(thm)],[c_14288]) ).

tcf(c_15115,plain,
    ( c2_1(a480)
    | c0_1(a480)
    | ~ iPr_def_30
    | ~ c3_1(a480) ),
    inference(instantiation,[status(thm)],[c_14288]) ).

tcf(c_15328,plain,
    ( c2_1(a474)
    | c0_1(a474)
    | ~ iPr_def_30
    | ~ c3_1(a474) ),
    inference(instantiation,[status(thm)],[c_14288]) ).

tcf(c_15348,plain,
    ( c1_1(a494)
    | c0_1(a494)
    | ~ iPr_def_26
    | ~ c2_1(a494) ),
    inference(instantiation,[status(thm)],[c_14344]) ).

tcf(c_15378,plain,
    ( c0_1(a500)
    | ~ iPr_def_31
    | ~ c1_1(a500)
    | ~ c2_1(a500) ),
    inference(instantiation,[status(thm)],[c_14332]) ).

tcf(c_15405,plain,
    ( c1_1(a533)
    | ~ iPr_def_25
    | ~ c2_1(a533)
    | ~ c0_1(a533) ),
    inference(instantiation,[status(thm)],[c_14272]) ).

tcf(c_15406,plain,
    ( c1_1(a533)
    | c3_1(a533)
    | ~ iPr_def_33
    | ~ c0_1(a533) ),
    inference(instantiation,[status(thm)],[c_14354]) ).

tcf(c_15557,plain,
    ( c1_1(a503)
    | ~ iPr_def_29
    | ~ c3_1(a503)
    | ~ c0_1(a503) ),
    inference(instantiation,[status(thm)],[c_14334]) ).

tcf(c_15563,plain,
    ( c1_1(a494)
    | c3_1(a494)
    | ~ iPr_def_15
    | ~ c2_1(a494) ),
    inference(instantiation,[status(thm)],[c_14358]) ).

tcf(c_15567,plain,
    ( c3_1(a465)
    | c2_1(a465)
    | ~ iPr_def_34
    | ~ c1_1(a465) ),
    inference(instantiation,[status(thm)],[c_14360]) ).

tcf(c_15792,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15567,c_15563,c_15557,c_15405,c_15406,c_15378,c_15348,c_15328,c_15115,c_15113,c_15048,c_15035,c_14970,c_14937,c_14925,c_14876,c_14874,c_14868,c_14821,c_14818,c_14736,c_14729,c_14689,c_14691,c_14686,c_14651,c_14642,c_14617,c_14600,c_14592,c_14566,c_14562,c_14561,c_14559,c_14546,c_14541,c_14540,c_14536,c_14525,c_14521,c_14517,c_14511,c_14502,c_14498,c_14485,c_14484,c_14480,c_14467,c_14456,c_14363,c_14361,c_14359,c_14357,c_14355,c_14345,c_14343,c_14337,c_14335,c_14333,c_14328,c_14325,c_14322,c_14319,c_14316,c_14313,c_14292,c_14289,c_14286,c_14277,c_14271,c_14259,c_14256,c_14242,c_14234,c_4103,c_4086,c_4069,c_2366,c_2356,c_2346,c_1538,c_1528,c_1518,c_1499,c_1489,c_1479,c_247,c_244,c_225,c_51,c_52,c_55,c_56,c_58,c_59,c_60,c_64,c_75,c_76,c_79,c_80,c_88,c_95,c_96,c_98,c_99,c_100,c_106,c_107,c_108,c_118,c_119,c_120,c_124,c_128,c_132,c_50,c_54,c_62,c_63,c_74,c_78,c_86,c_87,c_94,c_110,c_111,c_122,c_123,c_126,c_127,c_130,c_131,c_150,c_151,c_152,c_154,c_155,c_156,c_158,c_159,c_160]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN448+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n009.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Fri Sep 25 01:13:44 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.41  % Detected problem language: tptp
% 0.09/0.42  % Proving...
% 4.26/1.28  % SZS status Started for theBenchmark.p
% 4.26/1.28  % SZS status Theorem for theBenchmark.p
% 4.26/1.28  
% 4.26/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.26/1.28  
% 4.26/1.28  % ------  iProver source info
% 4.26/1.28  
% 4.26/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 4.26/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.26/1.28  % git: non_committed_changes: false
% 4.26/1.28  
% 4.26/1.28  % ------ Parsing...
% 4.26/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.26/1.28  % 
% 4.26/1.28  
% 4.26/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.26/1.28  
% 4.26/1.28  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.26/1.28   gs_s  sp: 89 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.26/1.28  % ------ Proving...
% 4.26/1.28  % ------ Problem Properties 
% 4.26/1.28  
% 4.26/1.28  % 
% 4.26/1.28  % clauses                               173
% 4.26/1.28  % conjectures                           164
% 4.26/1.28  % EPR                                   173
% 4.26/1.28  % Horn                                  94
% 4.26/1.28  % unary                                 0
% 4.26/1.28  % binary                                79
% 4.26/1.28  % lits                                  469
% 4.26/1.28  % lits eq                               0
% 4.26/1.28  % fd_pure                               0
% 4.26/1.28  % fd_pseudo                             0
% 4.26/1.28  % fd_cond                               0
% 4.26/1.28  % fd_pseudo_cond                        0
% 4.26/1.28  % AC symbols                            0
% 4.26/1.28  
% 4.26/1.28  % ------ Schedule EPR non Horn non eq is on
% 4.26/1.28  
% 4.26/1.28  % ------ no equalities: superposition off 
% 4.26/1.28  
% 4.26/1.28  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.26/1.28  
% 4.26/1.28  
% 4.26/1.28  % ------ 
% 4.26/1.28  % Current options:
% 4.26/1.28  % ------ 
% 4.26/1.28  
% 4.26/1.28  
% 4.26/1.28  % 
% 4.26/1.28  
% 4.26/1.28  % ------ Proving...
% 4.26/1.28  % 
% 4.26/1.28  
% 4.26/1.28  % SZS status Theorem for theBenchmark.p
% 4.26/1.28  
% 4.26/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.26/1.29  
% 4.26/1.29  
%------------------------------------------------------------------------------