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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN465+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 : n026.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 03:40:21 PM UTC 2026

% Result   : Theorem 4.34s 1.27s
% Output   : CNFRefutation 4.34s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f206ERROR: Could not build tree for root c_17757ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp5
        | hskp24
        | hskp21 )
      & ( hskp27
        | hskp6
        | hskp12 )
      & ( hskp26
        | hskp27
        | hskp3 )
      & ( hskp13
        | hskp2
        | hskp3 )
      & ( hskp26
        | hskp30
        | hskp7 )
      & ( hskp24
        | hskp12
        | hskp31 )
      & ( hskp2
        | hskp12
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | ~ c1_1(X101) ) ) )
      & ( hskp9
        | hskp25
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | ~ c1_1(X100) ) ) )
      & ( hskp13
        | hskp15
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c0_1(X99) ) ) )
      & ( hskp31
        | hskp28
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) ) )
      & ( hskp24
        | hskp14
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) ) )
      & ( hskp26
        | hskp12
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c1_1(X96)
              | ~ c0_1(X96) ) ) )
      & ( hskp19
        | hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c1_1(X95)
              | ~ c0_1(X95) ) ) )
      & ( hskp2
        | hskp0
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c1_1(X94)
              | ~ c0_1(X94) ) ) )
      & ( hskp21
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c2_1(X93)
              | ~ c0_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c1_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( hskp27
        | hskp18
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) ) )
      & ( hskp9
        | hskp28
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) ) )
      & ( hskp16
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c1_1(X89)
              | c2_1(X89) ) ) )
      & ( hskp7
        | hskp28
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c1_1(X88)
              | c2_1(X88) ) ) )
      & ( hskp17
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c1_1(X87)
              | c3_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c2_1(X86) ) ) )
      & ( hskp26
        | hskp28
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp3
        | hskp25
        | ! [X84] :
            ( ndr1_0
           => ( ~ c1_1(X84)
              | c3_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp12
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp24
        | hskp3
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp15
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | ~ c0_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp21
        | hskp8
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | ~ c0_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c0_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp3
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | ~ c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | c3_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp9
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp2
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c0_1(X69)
              | c3_1(X69)
              | c1_1(X69) ) ) )
      & ( hskp6
        | hskp17
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp23
        | hskp30
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp22
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c1_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp21
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c0_1(X64)
              | c3_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp8
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c0_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) ) )
      & ( hskp4
        | hskp20
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp19
        | hskp11
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp18
        | hskp17
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp30
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | ~ c0_1(X54)
              | c3_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c3_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp16
        | hskp15
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp14
        | hskp3
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp13
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | ~ c0_1(X45)
              | c3_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c3_1(X44)
              | c2_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp8
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp12
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | hskp30
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp11
        | hskp30
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp5
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp5
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | ~ c0_1(X35)
              | c3_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( ~ c0_1(X33)
              | c3_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp7
        | ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | c3_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | ~ c1_1(X28)
              | c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp9
        | hskp0
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp8
        | hskp7
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp28
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c2_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c1_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c0_1(X21)
              | c3_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c1_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp6
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c1_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp5
        | hskp29
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp4
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c2_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp3
        | ! [X14] :
            ( ndr1_0
           => ( ~ c1_1(X14)
              | ~ c0_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c3_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | c2_1(X11)
              | c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp2
        | ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | c3_1(X9)
              | c2_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c2_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp0
        | hskp28
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c1_1(X2)
              | c2_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a76)
          & c1_1(a76)
          & c0_1(a76)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a20)
          & c2_1(a20)
          & c0_1(a20)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a8)
          & c2_1(a8)
          & c1_1(a8)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a2)
          & c1_1(a2)
          & c0_1(a2)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c2_1(a65)
          & ~ c1_1(a65)
          & c3_1(a65)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a57)
          & ~ c1_1(a57)
          & ~ c0_1(a57)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a54)
          & c3_1(a54)
          & c0_1(a54)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a52)
          & ~ c0_1(a52)
          & c3_1(a52)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a42)
          & ~ c1_1(a42)
          & c0_1(a42)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a40)
          & ~ c2_1(a40)
          & ~ c0_1(a40)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a39)
          & ~ c0_1(a39)
          & c2_1(a39)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a36)
          & c1_1(a36)
          & c0_1(a36)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a35)
          & ~ c0_1(a35)
          & c1_1(a35)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a33)
          & c2_1(a33)
          & c1_1(a33)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a32)
          & c2_1(a32)
          & c0_1(a32)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a30)
          & c3_1(a30)
          & c2_1(a30)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a29)
          & ~ c2_1(a29)
          & c1_1(a29)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a28)
          & c3_1(a28)
          & c2_1(a28)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a26)
          & ~ c0_1(a26)
          & c3_1(a26)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a24)
          & c3_1(a24)
          & c1_1(a24)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a21)
          & ~ c2_1(a21)
          & c0_1(a21)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a17)
          & ~ c0_1(a17)
          & c1_1(a17)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a15)
          & ~ c2_1(a15)
          & ~ c1_1(a15)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a13)
          & c2_1(a13)
          & c1_1(a13)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a12)
          & c1_1(a12)
          & c0_1(a12)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a10)
          & ~ c1_1(a10)
          & c2_1(a10)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a9)
          & ~ c1_1(a9)
          & ~ c0_1(a9)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c0_1(a7)
          & c3_1(a7)
          & c1_1(a7)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a6)
          & c3_1(a6)
          & c0_1(a6)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a5)
          & ~ c0_1(a5)
          & c2_1(a5)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a4)
          & c2_1(a4)
          & c0_1(a4)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a1)
          & ~ c1_1(a1)
          & c0_1(a1)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp5
          | hskp24
          | hskp21 )
        & ( hskp27
          | hskp6
          | hskp12 )
        & ( hskp26
          | hskp27
          | hskp3 )
        & ( hskp13
          | hskp2
          | hskp3 )
        & ( hskp26
          | hskp30
          | hskp7 )
        & ( hskp24
          | hskp12
          | hskp31 )
        & ( hskp2
          | hskp12
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | ~ c1_1(X101) ) ) )
        & ( hskp9
          | hskp25
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | ~ c1_1(X100) ) ) )
        & ( hskp13
          | hskp15
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c0_1(X99) ) ) )
        & ( hskp31
          | hskp28
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) ) )
        & ( hskp24
          | hskp14
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) ) )
        & ( hskp26
          | hskp12
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) ) )
        & ( hskp19
          | hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) ) )
        & ( hskp2
          | hskp0
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) ) )
        & ( hskp21
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c0_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( hskp27
          | hskp18
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) ) )
        & ( hskp9
          | hskp28
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( hskp16
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp7
          | hskp28
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) ) )
        & ( hskp17
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c3_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) ) )
        & ( hskp26
          | hskp28
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp3
          | hskp25
          | ! [X84] :
              ( ndr1_0
             => ( ~ c1_1(X84)
                | c3_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp12
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp24
          | hskp3
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp15
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp21
          | hskp8
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | ~ c0_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c0_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp3
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | ~ c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp9
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp2
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c0_1(X69)
                | c3_1(X69)
                | c1_1(X69) ) ) )
        & ( hskp6
          | hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp23
          | hskp30
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp22
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp21
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c3_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp8
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) ) )
        & ( hskp4
          | hskp20
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp19
          | hskp11
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | hskp17
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp30
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | ~ c0_1(X54)
                | c3_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp16
          | hskp15
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp14
          | hskp3
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp13
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c2_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp8
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp12
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | hskp30
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp11
          | hskp30
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp5
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp5
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp7
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp9
          | hskp0
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp8
          | hskp7
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c3_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp6
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp5
          | hskp29
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp4
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp3
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c3_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c2_1(X11)
                | c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp2
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | c3_1(X9)
                | c2_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c2_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp0
          | hskp28
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c1_1(X2)
                | c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a76)
            & c1_1(a76)
            & c0_1(a76)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a20)
            & c2_1(a20)
            & c0_1(a20)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a8)
            & c2_1(a8)
            & c1_1(a8)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2)
            & c1_1(a2)
            & c0_1(a2)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c2_1(a65)
            & ~ c1_1(a65)
            & c3_1(a65)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a57)
            & ~ c1_1(a57)
            & ~ c0_1(a57)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a54)
            & c3_1(a54)
            & c0_1(a54)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a52)
            & ~ c0_1(a52)
            & c3_1(a52)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a42)
            & ~ c1_1(a42)
            & c0_1(a42)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a40)
            & ~ c2_1(a40)
            & ~ c0_1(a40)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a39)
            & ~ c0_1(a39)
            & c2_1(a39)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a36)
            & c1_1(a36)
            & c0_1(a36)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a35)
            & ~ c0_1(a35)
            & c1_1(a35)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a33)
            & c2_1(a33)
            & c1_1(a33)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a32)
            & c2_1(a32)
            & c0_1(a32)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a30)
            & c3_1(a30)
            & c2_1(a30)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a29)
            & ~ c2_1(a29)
            & c1_1(a29)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a28)
            & c3_1(a28)
            & c2_1(a28)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a26)
            & ~ c0_1(a26)
            & c3_1(a26)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a24)
            & c3_1(a24)
            & c1_1(a24)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a21)
            & ~ c2_1(a21)
            & c0_1(a21)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a17)
            & ~ c0_1(a17)
            & c1_1(a17)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a15)
            & ~ c2_1(a15)
            & ~ c1_1(a15)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a13)
            & c2_1(a13)
            & c1_1(a13)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a12)
            & c1_1(a12)
            & c0_1(a12)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a10)
            & ~ c1_1(a10)
            & c2_1(a10)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a9)
            & ~ c1_1(a9)
            & ~ c0_1(a9)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c0_1(a7)
            & c3_1(a7)
            & c1_1(a7)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a6)
            & c3_1(a6)
            & c0_1(a6)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a5)
            & ~ c0_1(a5)
            & c2_1(a5)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a4)
            & c2_1(a4)
            & c0_1(a4)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a1)
            & ~ c1_1(a1)
            & c0_1(a1)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp5
      | hskp24
      | hskp21 )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( hskp26
      | hskp27
      | hskp3 )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( hskp24
      | hskp12
      | hskp31 )
    & ( hskp2
      | hskp12
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | ~ c1_1(X101) ) ) )
    & ( hskp9
      | hskp25
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c2_1(X100)
            | ~ c1_1(X100) ) ) )
    & ( hskp13
      | hskp15
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | ~ c0_1(X99) ) ) )
    & ( hskp31
      | hskp28
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | ~ c0_1(X98) ) ) )
    & ( hskp24
      | hskp14
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c1_1(X97)
            | ~ c0_1(X97) ) ) )
    & ( hskp26
      | hskp12
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c1_1(X96)
            | ~ c0_1(X96) ) ) )
    & ( hskp19
      | hskp29
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c1_1(X95)
            | ~ c0_1(X95) ) ) )
    & ( hskp2
      | hskp0
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c1_1(X94)
            | ~ c0_1(X94) ) ) )
    & ( hskp21
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c2_1(X93)
            | ~ c0_1(X93) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c1_1(X92)
            | ~ c0_1(X92) ) ) )
    & ( hskp27
      | hskp18
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c1_1(X91)
            | ~ c0_1(X91) ) ) )
    & ( hskp9
      | hskp28
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c1_1(X90)
            | ~ c0_1(X90) ) ) )
    & ( hskp16
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c1_1(X89)
            | c2_1(X89) ) ) )
    & ( hskp7
      | hskp28
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c1_1(X88)
            | c2_1(X88) ) ) )
    & ( hskp17
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c1_1(X87)
            | c3_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c0_1(X86)
            | c2_1(X86) ) ) )
    & ( hskp26
      | hskp28
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c2_1(X85) ) ) )
    & ( hskp3
      | hskp25
      | ! [X84] :
          ( ndr1_0
         => ( ~ c1_1(X84)
            | c3_1(X84)
            | c2_1(X84) ) ) )
    & ( hskp12
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c2_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c3_1(X82)
            | c2_1(X82) ) ) )
    & ( hskp24
      | hskp3
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | c3_1(X81)
            | c2_1(X81) ) ) )
    & ( hskp15
      | ! [X80] :
          ( ndr1_0
         => ( ~ c1_1(X80)
            | ~ c0_1(X80)
            | c2_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c2_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp21
      | hskp8
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c0_1(X78)
            | c1_1(X78) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c2_1(X77)
            | ~ c0_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c1_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c0_1(X75)
            | c1_1(X75) ) ) )
    & ( hskp3
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c2_1(X74)
            | ~ c1_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | c3_1(X73)
            | c1_1(X73) ) ) )
    & ( hskp9
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c2_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | c3_1(X71)
            | c1_1(X71) ) ) )
    & ( hskp2
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c0_1(X70)
            | c1_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c0_1(X69)
            | c3_1(X69)
            | c1_1(X69) ) ) )
    & ( hskp6
      | hskp17
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp23
      | hskp30
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c2_1(X67)
            | c1_1(X67) ) ) )
    & ( hskp22
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c1_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | c2_1(X65)
            | c1_1(X65) ) ) )
    & ( hskp21
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | ~ c0_1(X64)
            | c3_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( c3_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) ) )
    & ( hskp8
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c2_1(X62)
            | c1_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | c2_1(X61)
            | c1_1(X61) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | ~ c0_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c0_1(X59)
            | c1_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c3_1(X58)
            | c2_1(X58)
            | c1_1(X58) ) ) )
    & ( hskp4
      | hskp20
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp19
      | hskp11
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp18
      | hskp17
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp30
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | ~ c0_1(X54)
            | c3_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c1_1(X53)
            | c0_1(X53) ) ) )
    & ( ! [X52] :
          ( ndr1_0
         => ( ~ c0_1(X52)
            | c3_1(X52)
            | c1_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp16
      | hskp15
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp14
      | hskp3
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp13
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | c3_1(X47)
            | c2_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | c3_1(X46)
            | c0_1(X46) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | ~ c0_1(X45)
            | c3_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c3_1(X44)
            | c2_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | c3_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp8
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c2_1(X42)
            | c1_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | c3_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp12
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | c3_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp8
      | hskp30
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c3_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp11
      | hskp30
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp5
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | ~ c1_1(X37)
            | ~ c0_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp5
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | ~ c0_1(X35)
            | c3_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp10
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp7
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c1_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c2_1(X29)
            | ~ c1_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | c0_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | c2_1(X27)
            | c0_1(X27) ) ) )
    & ( hskp9
      | hskp0
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | c2_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp8
      | hskp7
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp28
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c2_1(X23)
            | c0_1(X23) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c1_1(X22)
            | ~ c0_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c0_1(X21)
            | c3_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | c2_1(X20)
            | c0_1(X20) ) ) )
    & ( hskp6
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c3_1(X19)
            | c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | c2_1(X18)
            | c0_1(X18) ) ) )
    & ( hskp5
      | hskp29
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c2_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp4
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | c2_1(X16)
            | c0_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | c2_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp3
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | c3_1(X12)
            | c0_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | c2_1(X11)
            | c0_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( hskp2
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | c3_1(X9)
            | c2_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp1
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | c2_1(X7)
            | c0_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp0
      | hskp28
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c0_1(X4)
            | c1_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c1_1(X2)
            | c2_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a76)
        & c1_1(a76)
        & c0_1(a76)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a20)
        & c2_1(a20)
        & c0_1(a20)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a8)
        & c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2)
        & c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a65)
        & ~ c1_1(a65)
        & c3_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a57)
        & ~ c1_1(a57)
        & ~ c0_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a54)
        & c3_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a52)
        & ~ c0_1(a52)
        & c3_1(a52)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a42)
        & ~ c1_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a40)
        & ~ c2_1(a40)
        & ~ c0_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a39)
        & ~ c0_1(a39)
        & c2_1(a39)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a36)
        & c1_1(a36)
        & c0_1(a36)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a35)
        & ~ c0_1(a35)
        & c1_1(a35)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a33)
        & c2_1(a33)
        & c1_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a30)
        & c3_1(a30)
        & c2_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a29)
        & ~ c2_1(a29)
        & c1_1(a29)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a26)
        & ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a24)
        & c3_1(a24)
        & c1_1(a24)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a10)
        & ~ c1_1(a10)
        & c2_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a4)
        & c2_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c1_1(a1)
        & c0_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp5
      | hskp24
      | hskp21 )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( hskp26
      | hskp27
      | hskp3 )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( hskp24
      | hskp12
      | hskp31 )
    & ( hskp2
      | hskp12
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c2_1(X101)
          | ~ c1_1(X101) ) )
    & ( hskp9
      | hskp25
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c2_1(X100)
          | ~ c1_1(X100) ) )
    & ( hskp13
      | hskp15
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ c0_1(X99) ) )
    & ( hskp31
      | hskp28
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c0_1(X98) ) )
    & ( hskp24
      | hskp14
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97) ) )
    & ( hskp26
      | hskp12
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96) ) )
    & ( hskp19
      | hskp29
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95) ) )
    & ( hskp2
      | hskp0
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c1_1(X94)
          | ~ c0_1(X94) ) )
    & ( hskp21
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ c0_1(X93) )
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c1_1(X92)
          | ~ c0_1(X92) ) )
    & ( hskp27
      | hskp18
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c1_1(X91)
          | ~ c0_1(X91) ) )
    & ( hskp9
      | hskp28
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90) ) )
    & ( hskp16
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c1_1(X89)
          | c2_1(X89) ) )
    & ( hskp7
      | hskp28
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c1_1(X88)
          | c2_1(X88) ) )
    & ( hskp17
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | c3_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86) ) )
    & ( hskp26
      | hskp28
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c1_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85) ) )
    & ( hskp3
      | hskp25
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c1_1(X84)
          | c3_1(X84)
          | c2_1(X84) ) )
    & ( hskp12
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | c3_1(X82)
          | c2_1(X82) ) )
    & ( hskp24
      | hskp3
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) ) )
    & ( hskp15
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | c1_1(X79) ) )
    & ( hskp21
      | hskp8
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78) ) )
    & ( ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c1_1(X76)
          | ~ c0_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c0_1(X75)
          | c1_1(X75) ) )
    & ( hskp3
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c2_1(X74)
          | ~ c1_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73) ) )
    & ( hskp9
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c1_1(X72)
          | c3_1(X72)
          | c2_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( hskp2
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c0_1(X69)
          | c3_1(X69)
          | c1_1(X69) ) )
    & ( hskp6
      | hskp17
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp23
      | hskp30
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp22
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c1_1(X66)
          | ~ c0_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c0_1(X65)
          | c2_1(X65)
          | c1_1(X65) ) )
    & ( hskp21
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | c3_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | c3_1(X63)
          | c2_1(X63)
          | c1_1(X63) ) )
    & ( hskp8
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | c3_1(X61)
          | c2_1(X61)
          | c1_1(X61) ) )
    & ( ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c2_1(X60)
          | ~ c0_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c0_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | c3_1(X58)
          | c2_1(X58)
          | c1_1(X58) ) )
    & ( hskp4
      | hskp20
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57) ) )
    & ( hskp19
      | hskp11
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( hskp18
      | hskp17
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55) ) )
    & ( hskp30
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c1_1(X54)
          | ~ c0_1(X54)
          | c3_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53) ) )
    & ( ! [X52] :
          ( ~ ndr1_0
          | ~ c0_1(X52)
          | c3_1(X52)
          | c1_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50) ) )
    & ( hskp16
      | hskp15
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp14
      | hskp3
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp13
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c0_1(X44)
          | c3_1(X44)
          | c2_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c2_1(X43)
          | c3_1(X43)
          | c0_1(X43) ) )
    & ( hskp8
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | c1_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c2_1(X41)
          | c3_1(X41)
          | c0_1(X41) ) )
    & ( hskp12
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | c3_1(X40)
          | c0_1(X40) ) )
    & ( hskp8
      | hskp30
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c3_1(X39)
          | c0_1(X39) ) )
    & ( hskp11
      | hskp30
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp5
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp5
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp10
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp7
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | ~ c2_1(X29)
          | ~ c1_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c2_1(X28)
          | ~ c1_1(X28)
          | c0_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( hskp9
      | hskp0
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp8
      | hskp7
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp28
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | c2_1(X23)
          | c0_1(X23) ) )
    & ( ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c1_1(X20)
          | c2_1(X20)
          | c0_1(X20) ) )
    & ( hskp6
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c1_1(X19)
          | c3_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c1_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp5
      | hskp29
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c0_1(X17) ) )
    & ( hskp4
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c2_1(X16)
          | c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c2_1(X15)
          | c0_1(X15) ) )
    & ( hskp3
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c3_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c1_1(X11)
          | c2_1(X11)
          | c0_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp2
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp1
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c2_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp0
      | hskp28
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | c1_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c1_1(X2)
          | c2_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | ~ c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a76)
        & c1_1(a76)
        & c0_1(a76)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a20)
        & c2_1(a20)
        & c0_1(a20)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a8)
        & c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2)
        & c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a65)
        & ~ c1_1(a65)
        & c3_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a57)
        & ~ c1_1(a57)
        & ~ c0_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a54)
        & c3_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a52)
        & ~ c0_1(a52)
        & c3_1(a52)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a42)
        & ~ c1_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a40)
        & ~ c2_1(a40)
        & ~ c0_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a39)
        & ~ c0_1(a39)
        & c2_1(a39)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a36)
        & c1_1(a36)
        & c0_1(a36)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a35)
        & ~ c0_1(a35)
        & c1_1(a35)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a33)
        & c2_1(a33)
        & c1_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a30)
        & c3_1(a30)
        & c2_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a29)
        & ~ c2_1(a29)
        & c1_1(a29)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a26)
        & ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a24)
        & c3_1(a24)
        & c1_1(a24)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a10)
        & ~ c1_1(a10)
        & c2_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a4)
        & c2_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c1_1(a1)
        & c0_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp5
      | hskp24
      | hskp21 )
    & ( hskp27
      | hskp6
      | hskp12 )
    & ( hskp26
      | hskp27
      | hskp3 )
    & ( hskp13
      | hskp2
      | hskp3 )
    & ( hskp26
      | hskp30
      | hskp7 )
    & ( hskp24
      | hskp12
      | hskp31 )
    & ( hskp2
      | hskp12
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c2_1(X101)
          | ~ c1_1(X101) ) )
    & ( hskp9
      | hskp25
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c2_1(X100)
          | ~ c1_1(X100) ) )
    & ( hskp13
      | hskp15
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ c0_1(X99) ) )
    & ( hskp31
      | hskp28
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c0_1(X98) ) )
    & ( hskp24
      | hskp14
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97) ) )
    & ( hskp26
      | hskp12
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96) ) )
    & ( hskp19
      | hskp29
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95) ) )
    & ( hskp2
      | hskp0
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c1_1(X94)
          | ~ c0_1(X94) ) )
    & ( hskp21
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ c0_1(X93) )
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c1_1(X92)
          | ~ c0_1(X92) ) )
    & ( hskp27
      | hskp18
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c1_1(X91)
          | ~ c0_1(X91) ) )
    & ( hskp9
      | hskp28
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90) ) )
    & ( hskp16
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c1_1(X89)
          | c2_1(X89) ) )
    & ( hskp7
      | hskp28
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c1_1(X88)
          | c2_1(X88) ) )
    & ( hskp17
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c1_1(X87)
          | c3_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86) ) )
    & ( hskp26
      | hskp28
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c1_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85) ) )
    & ( hskp3
      | hskp25
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c1_1(X84)
          | c3_1(X84)
          | c2_1(X84) ) )
    & ( hskp12
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | c3_1(X82)
          | c2_1(X82) ) )
    & ( hskp24
      | hskp3
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) ) )
    & ( hskp15
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c1_1(X80)
          | ~ c0_1(X80)
          | c2_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | c1_1(X79) ) )
    & ( hskp21
      | hskp8
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78) ) )
    & ( ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ c0_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c1_1(X76)
          | ~ c0_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c0_1(X75)
          | c1_1(X75) ) )
    & ( hskp3
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c2_1(X74)
          | ~ c1_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73) ) )
    & ( hskp9
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c1_1(X72)
          | c3_1(X72)
          | c2_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( hskp2
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c0_1(X69)
          | c3_1(X69)
          | c1_1(X69) ) )
    & ( hskp6
      | hskp17
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp23
      | hskp30
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | c2_1(X67)
          | c1_1(X67) ) )
    & ( hskp22
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c1_1(X66)
          | ~ c0_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c0_1(X65)
          | c2_1(X65)
          | c1_1(X65) ) )
    & ( hskp21
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c1_1(X64)
          | ~ c0_1(X64)
          | c3_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | c3_1(X63)
          | c2_1(X63)
          | c1_1(X63) ) )
    & ( hskp8
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c1_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | c3_1(X61)
          | c2_1(X61)
          | c1_1(X61) ) )
    & ( ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c2_1(X60)
          | ~ c0_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c0_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | c3_1(X58)
          | c2_1(X58)
          | c1_1(X58) ) )
    & ( hskp4
      | hskp20
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57) ) )
    & ( hskp19
      | hskp11
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( hskp18
      | hskp17
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55) ) )
    & ( hskp30
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c1_1(X54)
          | ~ c0_1(X54)
          | c3_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53) ) )
    & ( ! [X52] :
          ( ~ ndr1_0
          | ~ c0_1(X52)
          | c3_1(X52)
          | c1_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50) ) )
    & ( hskp16
      | hskp15
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp14
      | hskp3
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp13
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c0_1(X44)
          | c3_1(X44)
          | c2_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c2_1(X43)
          | c3_1(X43)
          | c0_1(X43) ) )
    & ( hskp8
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | c1_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c2_1(X41)
          | c3_1(X41)
          | c0_1(X41) ) )
    & ( hskp12
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | c3_1(X40)
          | c0_1(X40) ) )
    & ( hskp8
      | hskp30
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c3_1(X39)
          | c0_1(X39) ) )
    & ( hskp11
      | hskp30
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp5
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp5
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp10
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp7
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c0_1(X31)
          | c3_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | ~ c2_1(X29)
          | ~ c1_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c2_1(X28)
          | ~ c1_1(X28)
          | c0_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( hskp9
      | hskp0
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp8
      | hskp7
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp28
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | c2_1(X23)
          | c0_1(X23) ) )
    & ( ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c1_1(X20)
          | c2_1(X20)
          | c0_1(X20) ) )
    & ( hskp6
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c1_1(X19)
          | c3_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c1_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp5
      | hskp29
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c0_1(X17) ) )
    & ( hskp4
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c2_1(X16)
          | c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c2_1(X15)
          | c0_1(X15) ) )
    & ( hskp3
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c1_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c3_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c1_1(X11)
          | c2_1(X11)
          | c0_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp2
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c1_1(X9)
          | c3_1(X9)
          | c2_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | c3_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp1
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c2_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp0
      | hskp28
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | c1_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c1_1(X2)
          | c2_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | ~ c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a76)
        & c1_1(a76)
        & c0_1(a76)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a20)
        & c2_1(a20)
        & c0_1(a20)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a8)
        & c2_1(a8)
        & c1_1(a8)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2)
        & c1_1(a2)
        & c0_1(a2)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c2_1(a65)
        & ~ c1_1(a65)
        & c3_1(a65)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a57)
        & ~ c1_1(a57)
        & ~ c0_1(a57)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a54)
        & c3_1(a54)
        & c0_1(a54)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a52)
        & ~ c0_1(a52)
        & c3_1(a52)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a42)
        & ~ c1_1(a42)
        & c0_1(a42)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a40)
        & ~ c2_1(a40)
        & ~ c0_1(a40)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a39)
        & ~ c0_1(a39)
        & c2_1(a39)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a36)
        & c1_1(a36)
        & c0_1(a36)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a35)
        & ~ c0_1(a35)
        & c1_1(a35)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a33)
        & c2_1(a33)
        & c1_1(a33)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a32)
        & c2_1(a32)
        & c0_1(a32)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a30)
        & c3_1(a30)
        & c2_1(a30)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a29)
        & ~ c2_1(a29)
        & c1_1(a29)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a28)
        & c3_1(a28)
        & c2_1(a28)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a26)
        & ~ c0_1(a26)
        & c3_1(a26)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a24)
        & c3_1(a24)
        & c1_1(a24)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a21)
        & ~ c2_1(a21)
        & c0_1(a21)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a17)
        & ~ c0_1(a17)
        & c1_1(a17)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a15)
        & ~ c2_1(a15)
        & ~ c1_1(a15)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a13)
        & c2_1(a13)
        & c1_1(a13)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a12)
        & c1_1(a12)
        & c0_1(a12)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a10)
        & ~ c1_1(a10)
        & c2_1(a10)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a9)
        & ~ c1_1(a9)
        & ~ c0_1(a9)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c0_1(a7)
        & c3_1(a7)
        & c1_1(a7)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a6)
        & c3_1(a6)
        & c0_1(a6)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a5)
        & ~ c0_1(a5)
        & c2_1(a5)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a4)
        & c2_1(a4)
        & c0_1(a4)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a1)
        & ~ c1_1(a1)
        & c0_1(a1)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp5
    | hskp24
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp26
    | hskp30
    | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp24
    | hskp12
    | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X100] :
      ( hskp9
      | hskp25
      | ~ ndr1_0
      | ~ c3_1(X100)
      | ~ c2_1(X100)
      | ~ c1_1(X100) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X95] :
      ( hskp19
      | hskp29
      | ~ ndr1_0
      | ~ c3_1(X95)
      | ~ c1_1(X95)
      | ~ c0_1(X95) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X89] :
      ( hskp16
      | ~ ndr1_0
      | ~ c3_1(X89)
      | ~ c1_1(X89)
      | c2_1(X89) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X88] :
      ( hskp7
      | hskp28
      | ~ ndr1_0
      | ~ c3_1(X88)
      | ~ c1_1(X88)
      | c2_1(X88) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X84] :
      ( hskp3
      | hskp25
      | ~ ndr1_0
      | ~ c1_1(X84)
      | c3_1(X84)
      | c2_1(X84) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X78] :
      ( hskp21
      | hskp8
      | ~ ndr1_0
      | ~ c3_1(X78)
      | ~ c0_1(X78)
      | c1_1(X78) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X67] :
      ( hskp23
      | hskp30
      | ~ ndr1_0
      | ~ c0_1(X67)
      | c2_1(X67)
      | c1_1(X67) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X49] :
      ( hskp16
      | hskp15
      | ~ ndr1_0
      | ~ c2_1(X49)
      | c3_1(X49)
      | c0_1(X49) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X40] :
      ( hskp12
      | ~ ndr1_0
      | ~ c1_1(X40)
      | c3_1(X40)
      | c0_1(X40) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X39] :
      ( hskp8
      | hskp30
      | ~ ndr1_0
      | ~ c1_1(X39)
      | c3_1(X39)
      | c0_1(X39) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X38] :
      ( hskp11
      | hskp30
      | ~ ndr1_0
      | ~ c3_1(X38)
      | c2_1(X38)
      | c0_1(X38) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X26] :
      ( hskp9
      | hskp0
      | ~ ndr1_0
      | ~ c1_1(X26)
      | c2_1(X26)
      | c0_1(X26) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( c3_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( c1_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( c0_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( c3_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( c2_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c0_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( c3_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( c2_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( c1_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c2_1(a2)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c1_1(a2)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a2)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c3_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ c1_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ c0_1(a57)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c1_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( c3_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c0_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c2_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c0_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c3_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c3_1(a42)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ c1_1(a42)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c0_1(a42)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c0_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c2_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c3_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ c0_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c1_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c1_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( c3_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c2_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c3_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c2_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c1_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c2_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( c3_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c1_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c3_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c2_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c0_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c3_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ c2_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( ~ c1_1(a15)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c0_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c2_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c1_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c3_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( c1_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c0_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c1_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c2_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c2_1(a9)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ c1_1(a9)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ c0_1(a9)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c2_1(a6)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( c3_1(a6)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c0_1(a6)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c0_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c0_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_62,negated_conjecture,
    ( c0_1(a6)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_63,negated_conjecture,
    ( c3_1(a6)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a6) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_70,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a9) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_71,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a9) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a9) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_74,negated_conjecture,
    ( c2_1(a10)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_75,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a10) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a10) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_78,negated_conjecture,
    ( c0_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_79,negated_conjecture,
    ( c1_1(a12)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a12) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_82,negated_conjecture,
    ( c1_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_83,negated_conjecture,
    ( c2_1(a13)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a13) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_86,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a15) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a15) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_94,negated_conjecture,
    ( c0_1(a21)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a21) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a21) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_97,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_98,negated_conjecture,
    ( c1_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_99,negated_conjecture,
    ( c3_1(a24)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a24) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_110,negated_conjecture,
    ( c1_1(a29)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a29) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a29) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_114,negated_conjecture,
    ( c2_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_115,negated_conjecture,
    ( c3_1(a30)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a30) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_126,negated_conjecture,
    ( c1_1(a35)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_127,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a35) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a35) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_134,negated_conjecture,
    ( c2_1(a39)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a39) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a39) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_142,negated_conjecture,
    ( c0_1(a42)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_143,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a42) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a42) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_145,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_146,negated_conjecture,
    ( c3_1(a52)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_147,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a52) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a52) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_150,negated_conjecture,
    ( c0_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_151,negated_conjecture,
    ( c3_1(a54)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a54) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_154,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a57) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_155,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a57) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a57) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a2)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_163,negated_conjecture,
    ( c1_1(a2)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_164,negated_conjecture,
    ( c2_1(a2)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_166,negated_conjecture,
    ( c1_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_167,negated_conjecture,
    ( c2_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a8)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_170,negated_conjecture,
    ( c0_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_171,negated_conjecture,
    ( c2_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_172,negated_conjecture,
    ( c3_1(a20)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_173,negated_conjecture,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_174,negated_conjecture,
    ( c0_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_175,negated_conjecture,
    ( c1_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_176,negated_conjecture,
    ( c3_1(a76)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp0
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp11
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp8
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp15
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp23
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp8
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp3
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp7
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp19
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_237,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp9
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_239,negated_conjecture,
    ( hskp31
    | hskp24
    | hskp12 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_240,negated_conjecture,
    ( hskp30
    | hskp26
    | hskp7 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_244,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_277,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_173,c_239,c_173,c_145,c_97]) ).

tcf(c_341,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_239,c_173,c_145,c_97,c_198]) ).

tcf(c_350,plain,
    ! [X0: $i] :
      ( hskp16
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_239,c_173,c_145,c_97,c_227]) ).

tcf(c_351,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_350]) ).

tcf(c_353,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp3
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_239,c_173,c_145,c_97,c_223]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp23
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_239,c_173,c_145,c_97,c_213]) ).

tcf(c_365,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp15
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_239,c_173,c_145,c_97,c_203]) ).

tcf(c_371,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp8
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_239,c_173,c_145,c_97,c_197]) ).

tcf(c_374,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp11
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_239,c_173,c_145,c_97,c_196]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp0
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_239,c_173,c_145,c_97,c_190]) ).

tcf(c_383,plain,
    ! [X0: $i] :
      ( hskp28
      | hskp7
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_239,c_173,c_145,c_97,c_226]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp7
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_383]) ).

tcf(c_389,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp8
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_239,c_173,c_145,c_97,c_219]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp8
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_389]) ).

tcf(c_391,plain,
    ( hskp21
    | hskp8
    | c1_1(a1)
    | ~ c3_1(a1)
    | ~ c0_1(a1) ),
    inference(instantiation,[status(thm)],[c_390]) ).

tcf(c_404,plain,
    ! [X0: $i] :
      ( hskp25
      | hskp9
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_239,c_173,c_145,c_97,c_237]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp9
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_404]) ).

tcf(c_419,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp19
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_239,c_173,c_145,c_97,c_232]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp19
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_419]) ).

tcf(c_439,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_239,c_173,c_145,c_97,c_211]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_439]) ).

tcf(c_441,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_239,c_173,c_145,c_97,c_210]) ).

tcf(c_442,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_441]) ).

tcf(c_447,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_239,c_173,c_145,c_97,c_192]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_447]) ).

tcf(c_449,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_239,c_173,c_145,c_97,c_186]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c3_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_456,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_239,c_173,c_145,c_97,c_199]) ).

tcf(c_457,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_456]) ).

tcf(c_464,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_239,c_173,c_145,c_97,c_222]) ).

tcf(c_465,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_464]) ).

tcf(c_466,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_239,c_173,c_145,c_97,c_220]) ).

tcf(c_467,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_466]) ).

tcf(c_468,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_239,c_173,c_145,c_97,c_217]) ).

tcf(c_469,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_468]) ).

tcf(c_470,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_239,c_173,c_145,c_97,c_212]) ).

tcf(c_471,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_470]) ).

tcf(c_472,plain,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_239,c_173,c_145,c_97,c_205]) ).

tcf(c_473,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_472]) ).

tcf(c_478,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_239,c_173,c_145,c_97,c_230]) ).

tcf(c_479,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_478]) ).

tcf(c_481,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_182,c_277]) ).

tcf(c_482,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_481]) ).

tcf(c_483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_239,c_173,c_145,c_97,c_200]) ).

tcf(c_484,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_483]) ).

tcf(c_485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_239,c_173,c_145,c_97,c_177]) ).

tcf(c_486,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_485]) ).

tcf(c_487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | 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_209,c_239,c_173,c_145,c_97,c_209]) ).

tcf(c_488,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_487]) ).

tcf(c_489,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_239,c_173,c_145,c_97,c_204]) ).

tcf(c_490,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_489]) ).

tcf(c_491,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_239,c_173,c_145,c_97,c_191]) ).

tcf(c_492,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_491]) ).

tcf(c_493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_239,c_173,c_145,c_97,c_187]) ).

tcf(c_494,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c0_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_493]) ).

tcf(c_495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_239,c_173,c_145,c_97,c_218]) ).

tcf(c_496,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_495]) ).

tcf(c_2123,plain,
    ( hskp24
    | hskp12
    | c3_1(a76) ),
    inference(resolution,[status(thm)],[c_239,c_176]) ).

tcf(c_2133,plain,
    ( hskp24
    | hskp12
    | c1_1(a76) ),
    inference(resolution,[status(thm)],[c_239,c_175]) ).

tcf(c_2143,plain,
    ( hskp24
    | hskp12
    | c0_1(a76) ),
    inference(resolution,[status(thm)],[c_239,c_174]) ).

tcf(c_3494,plain,
    ( hskp24
    | hskp21
    | ~ c2_1(a9) ),
    inference(resolution,[status(thm)],[c_244,c_72]) ).

tcf(c_3504,plain,
    ( hskp24
    | hskp21
    | ~ c1_1(a9) ),
    inference(resolution,[status(thm)],[c_244,c_71]) ).

tcf(c_3514,plain,
    ( hskp24
    | hskp21
    | ~ c0_1(a9) ),
    inference(resolution,[status(thm)],[c_244,c_70]) ).

tcf(c_4295,plain,
    ( hskp30
    | hskp7
    | ~ c3_1(a57) ),
    inference(resolution,[status(thm)],[c_240,c_156]) ).

tcf(c_4305,plain,
    ( hskp30
    | hskp7
    | ~ c1_1(a57) ),
    inference(resolution,[status(thm)],[c_240,c_155]) ).

tcf(c_4315,plain,
    ( hskp30
    | hskp7
    | ~ c0_1(a57) ),
    inference(resolution,[status(thm)],[c_240,c_154]) ).

tcf(c_15676,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_496]) ).

tcf(c_15677,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_496]) ).

tcf(c_15678,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_496]) ).

tcf(c_15679,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

tcf(c_15680,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_494]) ).

tcf(c_15681,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_494]) ).

tcf(c_15683,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_492]) ).

tcf(c_15684,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_492]) ).

tcf(c_15685,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_492]) ).

tcf(c_15686,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).

tcf(c_15687,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_490]) ).

tcf(c_15688,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_490]) ).

tcf(c_15689,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

tcf(c_15690,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_488]) ).

tcf(c_15691,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_488]) ).

tcf(c_15692,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

tcf(c_15695,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_486]) ).

tcf(c_15697,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_484]) ).

tcf(c_15698,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_484]) ).

tcf(c_15699,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

tcf(c_15700,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_482]) ).

tcf(c_15701,negated_conjecture,
    ( iPr_def_27
    | iPr_def_25
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

tcf(c_15702,negated_conjecture,
    ( iPr_def_11
    | iPr_def_10
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).

tcf(c_15704,negated_conjecture,
    ( iPr_def_17
    | iPr_def_14
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

tcf(c_15705,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_471]) ).

tcf(c_15707,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_469]) ).

tcf(c_15708,negated_conjecture,
    ( iPr_def_29
    | iPr_def_15
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).

tcf(c_15709,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_467]) ).

tcf(c_15710,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_467]) ).

tcf(c_15711,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

tcf(c_15712,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_465]) ).

tcf(c_15721,negated_conjecture,
    ( iPr_def_30
    | iPr_def_25
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

tcf(c_15724,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_450]) ).

tcf(c_15725,negated_conjecture,
    ( iPr_def_37
    | iPr_def_13
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

tcf(c_15726,negated_conjecture,
    ( iPr_def_19
    | iPr_def_16
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

tcf(c_15729,negated_conjecture,
    ( iPr_def_30
    | iPr_def_20
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

tcf(c_15730,negated_conjecture,
    ( iPr_def_20
    | iPr_def_14
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

tcf(c_15741,negated_conjecture,
    ( iPr_def_10
    | hskp29
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_420]) ).

tcf(c_15746,negated_conjecture,
    ( iPr_def_15
    | hskp25
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

tcf(c_15751,negated_conjecture,
    ( iPr_def_12
    | hskp21
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

tcf(c_15753,negated_conjecture,
    ( iPr_def_24
    | hskp28
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

tcf(c_15755,negated_conjecture,
    ( iPr_def_13
    | hskp9
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

tcf(c_15756,negated_conjecture,
    ( iPr_def_16
    | hskp30
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_374]) ).

tcf(c_15757,negated_conjecture,
    ( iPr_def_37
    | hskp30
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

tcf(c_15759,negated_conjecture,
    ( iPr_def_25
    | hskp16
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

tcf(c_15760,negated_conjecture,
    ( iPr_def_28
    | hskp30
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_15764,negated_conjecture,
    ( iPr_def_32
    | hskp25
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_353]) ).

tcf(c_15767,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_15679]) ).

tcf(c_15775,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(demodulation,[status(thm)],[c_15686]) ).

tcf(c_15779,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_17 ),
    inference(demodulation,[status(thm)],[c_15689]) ).

tcf(c_15783,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_11 ),
    inference(demodulation,[status(thm)],[c_15692]) ).

tcf(c_15791,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_14 ),
    inference(demodulation,[status(thm)],[c_15699]) ).

tcf(c_15795,negated_conjecture,
    ( iPr_def_27
    | iPr_def_25
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_15701]) ).

tcf(c_15798,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_27
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15700]) ).

tcf(c_15799,negated_conjecture,
    ( iPr_def_11
    | iPr_def_10
    | hskp21 ),
    inference(demodulation,[status(thm)],[c_15702]) ).

tcf(c_15805,negated_conjecture,
    ( iPr_def_17
    | iPr_def_14
    | hskp30 ),
    inference(demodulation,[status(thm)],[c_15704]) ).

tcf(c_15811,negated_conjecture,
    ( iPr_def_29
    | iPr_def_15
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_15708]) ).

tcf(c_15814,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_15711]) ).

tcf(c_15829,negated_conjecture,
    ( iPr_def_30
    | iPr_def_25
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_15721]) ).

tcf(c_15836,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_21
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15691]) ).

tcf(c_15838,negated_conjecture,
    ( iPr_def_37
    | iPr_def_13
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_15725]) ).

tcf(c_15841,negated_conjecture,
    ( iPr_def_19
    | iPr_def_16
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_15726]) ).

tcf(c_15845,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_19
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15688]) ).

tcf(c_15850,negated_conjecture,
    ( iPr_def_30
    | iPr_def_20
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_15729]) ).

tcf(c_15851,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_30
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15709]) ).

tcf(c_15853,negated_conjecture,
    ( iPr_def_20
    | iPr_def_14
    | hskp21 ),
    inference(demodulation,[status(thm)],[c_15730]) ).

tcf(c_15854,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_14
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15681]) ).

tcf(c_15855,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_15690]) ).

tcf(c_15858,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_29
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15707]) ).

tcf(c_15874,negated_conjecture,
    ( iPr_def_10
    | hskp29
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_15741]) ).

tcf(c_15879,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15676]) ).

tcf(c_15883,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15677]) ).

tcf(c_15884,negated_conjecture,
    ( iPr_def_15
    | hskp25
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_15746]) ).

tcf(c_15887,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15683]) ).

tcf(c_15889,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_17
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15685]) ).

tcf(c_15891,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_18
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15687]) ).

tcf(c_15894,negated_conjecture,
    ( iPr_def_12
    | hskp21
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_15751]) ).

tcf(c_15895,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_12
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15678]) ).

tcf(c_15897,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_31
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15710]) ).

tcf(c_15898,negated_conjecture,
    ( iPr_def_24
    | hskp28
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_15753]) ).

tcf(c_15899,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_24
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15695]) ).

tcf(c_15902,negated_conjecture,
    ( iPr_def_13
    | hskp9
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_15755]) ).

tcf(c_15903,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_13
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15680]) ).

tcf(c_15904,negated_conjecture,
    ( iPr_def_16
    | hskp30
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_15756]) ).

tcf(c_15905,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_16
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15684]) ).

tcf(c_15906,negated_conjecture,
    ( iPr_def_37
    | hskp30
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_15757]) ).

tcf(c_15907,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_37
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15724]) ).

tcf(c_15910,negated_conjecture,
    ( iPr_def_25
    | hskp16
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_15759]) ).

tcf(c_15911,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_25
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15697]) ).

tcf(c_15912,negated_conjecture,
    ( iPr_def_28
    | hskp30
    | hskp23 ),
    inference(demodulation,[status(thm)],[c_15760]) ).

tcf(c_15913,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_28
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15705]) ).

tcf(c_15917,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_26
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15698]) ).

tcf(c_15918,negated_conjecture,
    ( iPr_def_32
    | hskp25
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_15764]) ).

tcf(c_15919,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_32
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15712]) ).

tcf(c_15920,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_351]) ).

tcf(c_15925,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_341]) ).

tcf(c_16028,plain,
    ( c3_1(a1)
    | c2_1(a1)
    | c1_1(a1)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_15855]) ).

tcf(c_16062,plain,
    ( hskp12
    | c3_1(a13)
    | c0_1(a13)
    | ~ c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_15925]) ).

tcf(c_16064,plain,
    ( hskp12
    | c3_1(a29)
    | c0_1(a29)
    | ~ c1_1(a29) ),
    inference(instantiation,[status(thm)],[c_15925]) ).

tcf(c_16069,plain,
    ( c3_1(a12)
    | ~ iPr_def_14
    | ~ c1_1(a12)
    | ~ c0_1(a12) ),
    inference(instantiation,[status(thm)],[c_15854]) ).

tcf(c_16072,plain,
    ( c3_1(a29)
    | ~ iPr_def_14
    | ~ c1_1(a29)
    | ~ c0_1(a29) ),
    inference(instantiation,[status(thm)],[c_15854]) ).

tcf(c_16073,plain,
    ( c3_1(a2)
    | ~ iPr_def_14
    | ~ c1_1(a2)
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_15854]) ).

tcf(c_16080,plain,
    ( ~ iPr_def_11
    | ~ c3_1(a2)
    | ~ c2_1(a2)
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_15883]) ).

tcf(c_16081,plain,
    ( ~ iPr_def_11
    | ~ c3_1(a8)
    | ~ c2_1(a8)
    | ~ c0_1(a8) ),
    inference(instantiation,[status(thm)],[c_15883]) ).

tcf(c_16084,plain,
    ( c0_1(a13)
    | ~ iPr_def_17
    | ~ c2_1(a13)
    | ~ c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_15889]) ).

tcf(c_16087,plain,
    ( c0_1(a8)
    | ~ iPr_def_17
    | ~ c2_1(a8)
    | ~ c1_1(a8) ),
    inference(instantiation,[status(thm)],[c_15889]) ).

tcf(c_16098,plain,
    ( c2_1(a29)
    | c0_1(a29)
    | ~ iPr_def_13
    | ~ c1_1(a29) ),
    inference(instantiation,[status(thm)],[c_15903]) ).

tcf(c_16108,plain,
    ( hskp16
    | c2_1(a76)
    | ~ c3_1(a76)
    | ~ c1_1(a76) ),
    inference(instantiation,[status(thm)],[c_15920]) ).

tcf(c_16115,plain,
    ( c2_1(a52)
    | c0_1(a52)
    | ~ iPr_def_16
    | ~ c3_1(a52) ),
    inference(instantiation,[status(thm)],[c_15905]) ).

tcf(c_16121,plain,
    ( c2_1(a24)
    | c0_1(a24)
    | ~ iPr_def_16
    | ~ c3_1(a24) ),
    inference(instantiation,[status(thm)],[c_15905]) ).

tcf(c_16122,plain,
    ( hskp16
    | c2_1(a24)
    | ~ c3_1(a24)
    | ~ c1_1(a24) ),
    inference(instantiation,[status(thm)],[c_15920]) ).

tcf(c_16123,plain,
    ( c2_1(a24)
    | c0_1(a24)
    | ~ iPr_def_13
    | ~ c1_1(a24) ),
    inference(instantiation,[status(thm)],[c_15903]) ).

tcf(c_16129,plain,
    ( c2_1(a24)
    | ~ iPr_def_24
    | ~ c3_1(a24)
    | ~ c1_1(a24) ),
    inference(instantiation,[status(thm)],[c_15899]) ).

tcf(c_16133,plain,
    ( c2_1(a76)
    | ~ iPr_def_24
    | ~ c3_1(a76)
    | ~ c1_1(a76) ),
    inference(instantiation,[status(thm)],[c_15899]) ).

tcf(c_16140,plain,
    ( ~ iPr_def_11
    | ~ c3_1(a30)
    | ~ c2_1(a30)
    | ~ c0_1(a30) ),
    inference(instantiation,[status(thm)],[c_15883]) ).

tcf(c_16142,plain,
    ( c0_1(a13)
    | ~ iPr_def_18
    | ~ c3_1(a13)
    | ~ c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_15891]) ).

tcf(c_16144,plain,
    ( c0_1(a24)
    | ~ iPr_def_18
    | ~ c3_1(a24)
    | ~ c1_1(a24) ),
    inference(instantiation,[status(thm)],[c_15891]) ).

tcf(c_16155,plain,
    ( c3_1(a13)
    | c0_1(a13)
    | ~ iPr_def_25
    | ~ c2_1(a13) ),
    inference(instantiation,[status(thm)],[c_15911]) ).

tcf(c_16168,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a24)
    | ~ c1_1(a24)
    | ~ c0_1(a24) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_16170,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a76)
    | ~ c1_1(a76)
    | ~ c0_1(a76) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_16174,plain,
    ( ~ iPr_def_11
    | ~ c3_1(a20)
    | ~ c2_1(a20)
    | ~ c0_1(a20) ),
    inference(instantiation,[status(thm)],[c_15883]) ).

tcf(c_16175,plain,
    ( c3_1(a39)
    | c0_1(a39)
    | ~ iPr_def_25
    | ~ c2_1(a39) ),
    inference(instantiation,[status(thm)],[c_15911]) ).

tcf(c_16183,plain,
    ( c1_1(a30)
    | ~ iPr_def_30
    | ~ c3_1(a30)
    | ~ c2_1(a30) ),
    inference(instantiation,[status(thm)],[c_15851]) ).

tcf(c_16193,plain,
    ( c2_1(a9)
    | c0_1(a9)
    | ~ iPr_def_16
    | ~ c3_1(a9) ),
    inference(instantiation,[status(thm)],[c_15905]) ).

tcf(c_16217,plain,
    ( ~ iPr_def_11
    | ~ c3_1(a76)
    | ~ c2_1(a76)
    | ~ c0_1(a76) ),
    inference(instantiation,[status(thm)],[c_15883]) ).

tcf(c_16220,plain,
    ( c3_1(a15)
    | c2_1(a15)
    | c1_1(a15)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_15855]) ).

tcf(c_16221,plain,
    ( c3_1(a21)
    | c2_1(a21)
    | c1_1(a21)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_15855]) ).

tcf(c_16227,plain,
    ( c3_1(a57)
    | c2_1(a57)
    | c1_1(a57)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_15855]) ).

tcf(c_16242,plain,
    ( c3_1(a21)
    | c1_1(a21)
    | ~ iPr_def_19
    | ~ c0_1(a21) ),
    inference(instantiation,[status(thm)],[c_15845]) ).

tcf(c_16245,plain,
    ( c3_1(a42)
    | c1_1(a42)
    | ~ iPr_def_19
    | ~ c0_1(a42) ),
    inference(instantiation,[status(thm)],[c_15845]) ).

tcf(c_16253,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a2)
    | ~ c1_1(a2)
    | ~ c0_1(a2) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_16263,plain,
    ( c1_1(a30)
    | ~ iPr_def_21
    | ~ c2_1(a30)
    | ~ c0_1(a30) ),
    inference(instantiation,[status(thm)],[c_15836]) ).

tcf(c_16269,plain,
    ( c1_1(a6)
    | ~ iPr_def_12
    | ~ c3_1(a6)
    | ~ c0_1(a6) ),
    inference(instantiation,[status(thm)],[c_15895]) ).

tcf(c_16276,plain,
    ( c1_1(a20)
    | ~ iPr_def_12
    | ~ c3_1(a20)
    | ~ c0_1(a20) ),
    inference(instantiation,[status(thm)],[c_15895]) ).

tcf(c_16347,plain,
    ( c3_1(a10)
    | c1_1(a10)
    | ~ iPr_def_19
    | ~ c0_1(a10) ),
    inference(instantiation,[status(thm)],[c_15845]) ).

tcf(c_16380,plain,
    ( c3_1(a21)
    | c2_1(a21)
    | ~ iPr_def_32
    | ~ c1_1(a21) ),
    inference(instantiation,[status(thm)],[c_15919]) ).

tcf(c_16385,plain,
    ( c3_1(a21)
    | ~ iPr_def_14
    | ~ c1_1(a21)
    | ~ c0_1(a21) ),
    inference(instantiation,[status(thm)],[c_15854]) ).

tcf(c_16398,plain,
    ( hskp12
    | c3_1(a39)
    | c0_1(a39)
    | ~ c1_1(a39) ),
    inference(instantiation,[status(thm)],[c_15925]) ).

tcf(c_16478,plain,
    ( c2_1(a6)
    | c1_1(a6)
    | ~ iPr_def_28
    | ~ c0_1(a6) ),
    inference(instantiation,[status(thm)],[c_15913]) ).

tcf(c_16500,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a20)
    | ~ c2_1(a20)
    | ~ c1_1(a20) ),
    inference(instantiation,[status(thm)],[c_15887]) ).

tcf(c_16502,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a20)
    | ~ c1_1(a20)
    | ~ c0_1(a20) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_16514,plain,
    ( c2_1(a6)
    | ~ iPr_def_31
    | ~ c1_1(a6)
    | ~ c0_1(a6) ),
    inference(instantiation,[status(thm)],[c_15897]) ).

tcf(c_16517,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a6)
    | ~ c1_1(a6)
    | ~ c0_1(a6) ),
    inference(instantiation,[status(thm)],[c_15879]) ).

tcf(c_16598,plain,
    ( c3_1(a35)
    | c0_1(a35)
    | ~ iPr_def_37
    | ~ c1_1(a35) ),
    inference(instantiation,[status(thm)],[c_15907]) ).

tcf(c_17142,plain,
    ( c3_1(a13)
    | c0_1(a13)
    | ~ iPr_def_37
    | ~ c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_15907]) ).

tcf(c_17146,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a13)
    | ~ c2_1(a13)
    | ~ c1_1(a13) ),
    inference(instantiation,[status(thm)],[c_15887]) ).

tcf(c_17282,plain,
    ( c3_1(a9)
    | c2_1(a9)
    | c1_1(a9)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_15855]) ).

tcf(c_17306,plain,
    ( c3_1(a39)
    | c1_1(a39)
    | ~ iPr_def_29
    | ~ c2_1(a39) ),
    inference(instantiation,[status(thm)],[c_15858]) ).

tcf(c_17369,plain,
    ( c1_1(a54)
    | ~ iPr_def_12
    | ~ c3_1(a54)
    | ~ c0_1(a54) ),
    inference(instantiation,[status(thm)],[c_15895]) ).

tcf(c_17402,plain,
    ( c2_1(a24)
    | ~ iPr_def_31
    | ~ c1_1(a24)
    | ~ c0_1(a24) ),
    inference(instantiation,[status(thm)],[c_15897]) ).

tcf(c_17560,plain,
    ( c3_1(a29)
    | c2_1(a29)
    | ~ iPr_def_26
    | ~ c0_1(a29) ),
    inference(instantiation,[status(thm)],[c_15917]) ).

tcf(c_17609,plain,
    ( c1_1(a10)
    | c0_1(a10)
    | ~ iPr_def_27
    | ~ c2_1(a10) ),
    inference(instantiation,[status(thm)],[c_15798]) ).

tcf(c_17614,plain,
    ( c1_1(a30)
    | c0_1(a30)
    | ~ iPr_def_27
    | ~ c2_1(a30) ),
    inference(instantiation,[status(thm)],[c_15798]) ).

tcf(c_17618,plain,
    ( c1_1(a39)
    | c0_1(a39)
    | ~ iPr_def_27
    | ~ c2_1(a39) ),
    inference(instantiation,[status(thm)],[c_15798]) ).

tcf(c_17646,plain,
    ( c1_1(a57)
    | c0_1(a57)
    | ~ iPr_def_27
    | ~ c2_1(a57) ),
    inference(instantiation,[status(thm)],[c_15798]) ).

tcf(c_17757,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17646,c_17618,c_17614,c_17609,c_17560,c_17402,c_17369,c_17306,c_17282,c_17142,c_17146,c_16598,c_16514,c_16517,c_16500,c_16502,c_16478,c_16398,c_16380,c_16385,c_16347,c_16276,c_16269,c_16263,c_16253,c_16245,c_16242,c_16227,c_16221,c_16220,c_16217,c_16193,c_16183,c_16175,c_16174,c_16170,c_16168,c_16155,c_16144,c_16142,c_16140,c_16133,c_16129,c_16123,c_16121,c_16122,c_16115,c_16108,c_16098,c_16087,c_16084,c_16081,c_16080,c_16073,c_16072,c_16069,c_16064,c_16062,c_16028,c_15918,c_15912,c_15910,c_15906,c_15904,c_15902,c_15898,c_15894,c_15884,c_15874,c_15853,c_15850,c_15841,c_15838,c_15829,c_15814,c_15811,c_15805,c_15799,c_15795,c_15791,c_15783,c_15779,c_15775,c_15767,c_4315,c_4305,c_4295,c_3514,c_3504,c_3494,c_2143,c_2133,c_2123,c_391,c_51,c_52,c_64,c_75,c_76,c_80,c_84,c_86,c_87,c_88,c_95,c_96,c_100,c_111,c_112,c_116,c_127,c_128,c_135,c_136,c_143,c_144,c_147,c_148,c_152,c_50,c_62,c_63,c_74,c_78,c_79,c_82,c_83,c_94,c_98,c_99,c_110,c_114,c_115,c_126,c_134,c_142,c_146,c_150,c_151,c_162,c_163,c_164,c_166,c_167,c_168,c_170,c_171,c_172]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN465+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35  % Computer : n026.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Fri Sep 25 01:23:09 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39  Running first-order theorem proving
% 0.13/0.39  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
% 0.13/0.40  
% 0.13/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40  
% 0.13/0.40  % Detected problem language: tptp
% 0.13/0.41  % Proving...
% 4.34/1.27  % SZS status Started for theBenchmark.p
% 4.34/1.27  % SZS status Theorem for theBenchmark.p
% 4.34/1.27  
% 4.34/1.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.34/1.27  
% 4.34/1.27  % ------  iProver source info
% 4.34/1.27  
% 4.34/1.27  % git: date: 2026-07-19 20:42:38 +0200
% 4.34/1.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.34/1.27  % git: non_committed_changes: false
% 4.34/1.27  
% 4.34/1.27  % ------ Parsing...
% 4.34/1.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.34/1.27  % 
% 4.34/1.27  
% 4.34/1.27  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.34/1.27  
% 4.34/1.27  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.34/1.27   gs_s  sp: 98 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.34/1.27  % ------ Proving...
% 4.34/1.27  % ------ Problem Properties 
% 4.34/1.27  
% 4.34/1.27  % 
% 4.34/1.27  % clauses                               195
% 4.34/1.27  % conjectures                           195
% 4.34/1.27  % EPR                                   195
% 4.34/1.27  % Horn                                  112
% 4.34/1.27  % unary                                 0
% 4.34/1.27  % binary                                96
% 4.34/1.27  % lits                                  522
% 4.34/1.27  % lits eq                               0
% 4.34/1.27  % fd_pure                               0
% 4.34/1.27  % fd_pseudo                             0
% 4.34/1.27  % fd_cond                               0
% 4.34/1.27  % fd_pseudo_cond                        0
% 4.34/1.27  % AC symbols                            0
% 4.34/1.27  
% 4.34/1.27  % ------ Schedule EPR non Horn non eq is on
% 4.34/1.27  
% 4.34/1.27  % ------ no equalities: superposition off 
% 4.34/1.27  
% 4.34/1.27  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.34/1.27  
% 4.34/1.27  
% 4.34/1.27  % ------ 
% 4.34/1.27  % Current options:
% 4.34/1.27  % ------ 
% 4.34/1.27  
% 4.34/1.27  
% 4.34/1.27  % 
% 4.34/1.27  
% 4.34/1.27  % ------ Proving...
% 4.34/1.27  % 
% 4.34/1.27  
% 4.34/1.27  % SZS status Theorem for theBenchmark.p
% 4.34/1.27  
% 4.34/1.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.34/1.28  
% 4.34/1.28  
%------------------------------------------------------------------------------