↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN466+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 03:40:22 PM UTC 2026

% Result   : Theorem 2.89s 16.21s
% Output   : CNFRefutation 2.89s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f209ERROR: Could not build tree for root c_17208ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp24
        | hskp27
        | hskp25 )
      & ( hskp8
        | hskp25 )
      & ( hskp4
        | hskp11
        | hskp26 )
      & ( hskp0
        | hskp7
        | hskp26 )
      & ( hskp9
        | hskp4
        | hskp5 )
      & ( hskp25
        | hskp16
        | hskp5 )
      & ( hskp13
        | hskp15
        | hskp5 )
      & ( hskp24
        | hskp30
        | hskp31 )
      & ( hskp0
        | hskp25
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | ~ c1_1(X103) ) ) )
      & ( hskp11
        | hskp19
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c0_1(X102) ) ) )
      & ( hskp4
        | hskp13
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c1_1(X101)
              | c3_1(X101) ) ) )
      & ( hskp0
        | hskp25
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) ) )
      & ( hskp1
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c0_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c1_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp16
        | hskp6
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp24
        | hskp1
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp4
        | hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp12
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c1_1(X94)
              | c3_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c0_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp19
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp8
        | hskp19
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp10
        | hskp4
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp23
        | hskp4
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp11
        | hskp28
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp28
        | hskp15
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp28
        | hskp31
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp22
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c3_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp17
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp21
        | hskp29
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp31
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c1_1(X80)
              | ~ c0_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c0_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp17
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c3_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | ~ c0_1(X77)
              | c1_1(X77) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c0_1(X76)
              | c2_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp20
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp17
        | hskp28
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp17
        | hskp19
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | c3_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp18
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c1_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c3_1(X68)
              | c1_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c1_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp7
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c1_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp17
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | ~ c0_1(X62)
              | c2_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp30
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | c3_1(X60)
              | c1_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp16
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | ~ c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) ) )
      & ( hskp11
        | hskp29
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp10
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c0_1(X52)
              | c3_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp16
        | ! [X50] :
            ( ndr1_0
           => ( c3_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp7
        | hskp2
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp0
        | hskp15
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp10
        | hskp15
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp8
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | ~ c1_1(X43)
              | c3_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | c3_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c0_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp28
        | hskp15
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp14
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c0_1(X36)
              | c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp6
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp13
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c1_1(X32)
              | ~ c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | ~ c2_1(X30)
              | ~ c1_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c2_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp12
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c0_1(X27)
              | c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp11
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c3_1(X25)
              | c2_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | ~ c0_1(X23)
              | c2_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c1_1(X20)
              | ~ c0_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp10
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c1_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp9
        | hskp8
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp7
        | hskp6
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp5
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | ~ c0_1(X12)
              | c3_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c3_1(X11)
              | c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp4
        | hskp3
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp2
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c1_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | ~ c2_1(X6)
              | c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c2_1(X2)
              | ~ c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a141)
          & c1_1(a141)
          & c0_1(a141)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a131)
          & c2_1(a131)
          & c0_1(a131)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a128)
          & c1_1(a128)
          & c0_1(a128)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a118)
          & c2_1(a118)
          & c1_1(a118)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a196)
          & ~ c0_1(a196)
          & c2_1(a196)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a187)
          & ~ c1_1(a187)
          & c0_1(a187)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a167)
          & ~ c0_1(a167)
          & c1_1(a167)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a163)
          & ~ c2_1(a163)
          & ~ c1_1(a163)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a153)
          & ~ c1_1(a153)
          & ~ c0_1(a153)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a145)
          & ~ c1_1(a145)
          & ~ c0_1(a145)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a143)
          & ~ c1_1(a143)
          & c3_1(a143)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a139)
          & ~ c1_1(a139)
          & c0_1(a139)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a135)
          & ~ c2_1(a135)
          & c0_1(a135)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a134)
          & c3_1(a134)
          & c0_1(a134)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a132)
          & ~ c0_1(a132)
          & c3_1(a132)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a126)
          & c3_1(a126)
          & c1_1(a126)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a117)
          & c3_1(a117)
          & c0_1(a117)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a116)
          & c2_1(a116)
          & c0_1(a116)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a114)
          & c2_1(a114)
          & c1_1(a114)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a113)
          & ~ c0_1(a113)
          & c3_1(a113)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a112)
          & ~ c2_1(a112)
          & c1_1(a112)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a111)
          & ~ c2_1(a111)
          & ~ c0_1(a111)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a110)
          & ~ c1_1(a110)
          & c2_1(a110)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a109)
          & ~ c0_1(a109)
          & c1_1(a109)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a108)
          & c3_1(a108)
          & c1_1(a108)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a107)
          & c2_1(a107)
          & c1_1(a107)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a106)
          & c1_1(a106)
          & c0_1(a106)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a105)
          & c3_1(a105)
          & c2_1(a105)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a104)
          & c2_1(a104)
          & c0_1(a104)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a103)
          & c1_1(a103)
          & c0_1(a103)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a102)
          & ~ c0_1(a102)
          & c2_1(a102)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a101)
          & c3_1(a101)
          & c2_1(a101)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp24
          | hskp27
          | hskp25 )
        & ( hskp8
          | hskp25 )
        & ( hskp4
          | hskp11
          | hskp26 )
        & ( hskp0
          | hskp7
          | hskp26 )
        & ( hskp9
          | hskp4
          | hskp5 )
        & ( hskp25
          | hskp16
          | hskp5 )
        & ( hskp13
          | hskp15
          | hskp5 )
        & ( hskp24
          | hskp30
          | hskp31 )
        & ( hskp0
          | hskp25
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c1_1(X103) ) ) )
        & ( hskp11
          | hskp19
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c0_1(X102) ) ) )
        & ( hskp4
          | hskp13
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | c3_1(X101) ) ) )
        & ( hskp0
          | hskp25
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) ) )
        & ( hskp1
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c0_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c1_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp16
          | hskp6
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp24
          | hskp1
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp4
          | hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp12
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c1_1(X94)
                | c3_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp19
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp8
          | hskp19
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp10
          | hskp4
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp23
          | hskp4
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp11
          | hskp28
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp28
          | hskp15
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp28
          | hskp31
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp22
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp17
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp21
          | hskp29
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp31
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c1_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c0_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp17
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c3_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c0_1(X76)
                | c2_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp20
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp17
          | hskp28
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp17
          | hskp19
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp18
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c1_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp7
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp17
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c0_1(X62)
                | c2_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp30
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | c3_1(X60)
                | c1_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp16
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) ) )
        & ( hskp11
          | hskp29
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp10
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c0_1(X52)
                | c3_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp16
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp7
          | hskp2
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp0
          | hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp10
          | hskp15
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp8
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | c3_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c3_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c0_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp28
          | hskp15
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp14
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp6
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp13
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | ~ c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c2_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp12
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c0_1(X27)
                | c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp11
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | ~ c0_1(X23)
                | c2_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c1_1(X20)
                | ~ c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp10
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp9
          | hskp8
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp7
          | hskp6
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp5
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c3_1(X11)
                | c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp4
          | hskp3
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c2_1(X6)
                | c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a141)
            & c1_1(a141)
            & c0_1(a141)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a131)
            & c2_1(a131)
            & c0_1(a131)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a128)
            & c1_1(a128)
            & c0_1(a128)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a118)
            & c2_1(a118)
            & c1_1(a118)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a196)
            & ~ c0_1(a196)
            & c2_1(a196)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a187)
            & ~ c1_1(a187)
            & c0_1(a187)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a167)
            & ~ c0_1(a167)
            & c1_1(a167)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a163)
            & ~ c2_1(a163)
            & ~ c1_1(a163)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a153)
            & ~ c1_1(a153)
            & ~ c0_1(a153)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a145)
            & ~ c1_1(a145)
            & ~ c0_1(a145)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a143)
            & ~ c1_1(a143)
            & c3_1(a143)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a139)
            & ~ c1_1(a139)
            & c0_1(a139)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a135)
            & ~ c2_1(a135)
            & c0_1(a135)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a134)
            & c3_1(a134)
            & c0_1(a134)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a132)
            & ~ c0_1(a132)
            & c3_1(a132)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a126)
            & c3_1(a126)
            & c1_1(a126)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a117)
            & c3_1(a117)
            & c0_1(a117)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a116)
            & c2_1(a116)
            & c0_1(a116)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a114)
            & c2_1(a114)
            & c1_1(a114)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a113)
            & ~ c0_1(a113)
            & c3_1(a113)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a112)
            & ~ c2_1(a112)
            & c1_1(a112)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a111)
            & ~ c2_1(a111)
            & ~ c0_1(a111)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a110)
            & ~ c1_1(a110)
            & c2_1(a110)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a109)
            & ~ c0_1(a109)
            & c1_1(a109)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a108)
            & c3_1(a108)
            & c1_1(a108)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a107)
            & c2_1(a107)
            & c1_1(a107)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a106)
            & c1_1(a106)
            & c0_1(a106)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a105)
            & c3_1(a105)
            & c2_1(a105)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a104)
            & c2_1(a104)
            & c0_1(a104)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a103)
            & c1_1(a103)
            & c0_1(a103)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a102)
            & ~ c0_1(a102)
            & c2_1(a102)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a101)
            & c3_1(a101)
            & c2_1(a101)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp24
      | hskp27
      | hskp25 )
    & ( hskp8
      | hskp25 )
    & ( hskp4
      | hskp11
      | hskp26 )
    & ( hskp0
      | hskp7
      | hskp26 )
    & ( hskp9
      | hskp4
      | hskp5 )
    & ( hskp25
      | hskp16
      | hskp5 )
    & ( hskp13
      | hskp15
      | hskp5 )
    & ( hskp24
      | hskp30
      | hskp31 )
    & ( hskp0
      | hskp25
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c2_1(X103)
            | ~ c1_1(X103) ) ) )
    & ( hskp11
      | hskp19
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c2_1(X102)
            | ~ c0_1(X102) ) ) )
    & ( hskp4
      | hskp13
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | c3_1(X101) ) ) )
    & ( hskp0
      | hskp25
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c0_1(X100)
            | c3_1(X100) ) ) )
    & ( hskp1
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | ~ c0_1(X99) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c1_1(X98)
            | c2_1(X98) ) ) )
    & ( hskp16
      | hskp6
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c0_1(X97)
            | c2_1(X97) ) ) )
    & ( hskp24
      | hskp1
      | ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | ~ c0_1(X96)
            | c2_1(X96) ) ) )
    & ( hskp4
      | hskp29
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | ~ c0_1(X95)
            | c2_1(X95) ) ) )
    & ( hskp12
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c1_1(X94)
            | c3_1(X94) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | ~ c0_1(X93)
            | c2_1(X93) ) ) )
    & ( hskp19
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c3_1(X92)
            | c2_1(X92) ) ) )
    & ( hskp8
      | hskp19
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | c3_1(X91)
            | c2_1(X91) ) ) )
    & ( hskp10
      | hskp4
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c0_1(X90)
            | c1_1(X90) ) ) )
    & ( hskp23
      | hskp4
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c0_1(X89)
            | c1_1(X89) ) ) )
    & ( hskp11
      | hskp28
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c0_1(X88)
            | c1_1(X88) ) ) )
    & ( hskp28
      | hskp15
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c0_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp28
      | hskp31
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c0_1(X86)
            | c1_1(X86) ) ) )
    & ( hskp22
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c3_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c0_1(X84)
            | c1_1(X84) ) ) )
    & ( hskp17
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c2_1(X83)
            | c1_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c1_1(X82) ) ) )
    & ( hskp21
      | hskp29
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | ~ c0_1(X81)
            | c1_1(X81) ) ) )
    & ( hskp31
      | ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | ~ c1_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c0_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp17
      | ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | ~ c0_1(X78)
            | c3_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c0_1(X77)
            | c1_1(X77) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c0_1(X76)
            | c2_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | ~ c0_1(X75)
            | c2_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c0_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp20
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c0_1(X73)
            | c1_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp17
      | hskp28
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | c3_1(X71)
            | c1_1(X71) ) ) )
    & ( hskp17
      | hskp19
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp18
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | c3_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c3_1(X68)
            | c1_1(X68) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c2_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c1_1(X66)
            | c2_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | c3_1(X65)
            | c1_1(X65) ) ) )
    & ( hskp7
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | ~ c0_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) ) )
    & ( hskp17
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | ~ c0_1(X62)
            | c2_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c2_1(X61)
            | c1_1(X61) ) ) )
    & ( hskp30
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | c3_1(X60)
            | c1_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) ) )
    & ( hskp16
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | c2_1(X58)
            | c1_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c2_1(X57)
            | c1_1(X57) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | ~ c1_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | c3_1(X55)
            | c2_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c3_1(X54)
            | c2_1(X54)
            | c1_1(X54) ) ) )
    & ( hskp11
      | hskp29
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp10
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c0_1(X52)
            | c3_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp16
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp7
      | hskp2
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp0
      | hskp15
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c3_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp10
      | hskp15
      | ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | c3_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp8
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | ~ c0_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | c3_1(X44)
            | c0_1(X44) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c1_1(X43)
            | c3_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c3_1(X42)
            | c2_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | c3_1(X41)
            | c0_1(X41) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c0_1(X40)
            | c1_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c3_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp28
      | hskp15
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp14
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | c2_1(X35)
            | c0_1(X35) ) ) )
    & ( hskp6
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c2_1(X33)
            | c0_1(X33) ) ) )
    & ( hskp13
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c1_1(X32)
            | ~ c0_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c2_1(X30)
            | ~ c1_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c2_1(X29)
            | ~ c0_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | c1_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp12
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c0_1(X27)
            | c3_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | c1_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp11
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | c1_1(X24)
            | c0_1(X24) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | ~ c0_1(X23)
            | c2_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | c2_1(X22)
            | c1_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c1_1(X20)
            | ~ c0_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | c2_1(X19)
            | c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c1_1(X18)
            | c0_1(X18) ) ) )
    & ( hskp10
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) ) )
    & ( hskp9
      | hskp8
      | ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp7
      | hskp6
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( hskp5
      | ! [X13] :
          ( ndr1_0
         => ( c3_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c3_1(X11)
            | c0_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( hskp4
      | hskp3
      | ! [X9] :
          ( ndr1_0
         => ( c2_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( hskp2
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp1
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c2_1(X6)
            | c0_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c1_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c1_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a141)
        & c1_1(a141)
        & c0_1(a141)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a131)
        & c2_1(a131)
        & c0_1(a131)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a118)
        & c2_1(a118)
        & c1_1(a118)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a196)
        & ~ c0_1(a196)
        & c2_1(a196)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a187)
        & ~ c1_1(a187)
        & c0_1(a187)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a167)
        & ~ c0_1(a167)
        & c1_1(a167)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a163)
        & ~ c2_1(a163)
        & ~ c1_1(a163)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a153)
        & ~ c1_1(a153)
        & ~ c0_1(a153)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a145)
        & ~ c1_1(a145)
        & ~ c0_1(a145)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a143)
        & ~ c1_1(a143)
        & c3_1(a143)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a139)
        & ~ c1_1(a139)
        & c0_1(a139)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a135)
        & ~ c2_1(a135)
        & c0_1(a135)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a134)
        & c3_1(a134)
        & c0_1(a134)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a126)
        & c3_1(a126)
        & c1_1(a126)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a117)
        & c3_1(a117)
        & c0_1(a117)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a116)
        & c2_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a114)
        & c2_1(a114)
        & c1_1(a114)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & ~ c0_1(a113)
        & c3_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a112)
        & ~ c2_1(a112)
        & c1_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a111)
        & ~ c2_1(a111)
        & ~ c0_1(a111)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a110)
        & ~ c1_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a109)
        & ~ c0_1(a109)
        & c1_1(a109)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a108)
        & c3_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a107)
        & c2_1(a107)
        & c1_1(a107)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a106)
        & c1_1(a106)
        & c0_1(a106)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a105)
        & c3_1(a105)
        & c2_1(a105)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a104)
        & c2_1(a104)
        & c0_1(a104)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a103)
        & c1_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a102)
        & ~ c0_1(a102)
        & c2_1(a102)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a101)
        & c3_1(a101)
        & c2_1(a101)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp24
      | hskp27
      | hskp25 )
    & ( hskp8
      | hskp25 )
    & ( hskp4
      | hskp11
      | hskp26 )
    & ( hskp0
      | hskp7
      | hskp26 )
    & ( hskp9
      | hskp4
      | hskp5 )
    & ( hskp25
      | hskp16
      | hskp5 )
    & ( hskp13
      | hskp15
      | hskp5 )
    & ( hskp24
      | hskp30
      | hskp31 )
    & ( hskp0
      | hskp25
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c2_1(X103)
          | ~ c1_1(X103) ) )
    & ( hskp11
      | hskp19
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102) ) )
    & ( hskp4
      | hskp13
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c2_1(X101)
          | ~ c1_1(X101)
          | c3_1(X101) ) )
    & ( hskp0
      | hskp25
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100) ) )
    & ( hskp1
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ c0_1(X99) )
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c1_1(X98)
          | c2_1(X98) ) )
    & ( hskp16
      | hskp6
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( hskp24
      | hskp1
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96) ) )
    & ( hskp4
      | hskp29
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | c2_1(X95) ) )
    & ( hskp12
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | ~ c1_1(X94)
          | c3_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | ~ c0_1(X93)
          | c2_1(X93) ) )
    & ( hskp19
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c1_1(X92)
          | c3_1(X92)
          | c2_1(X92) ) )
    & ( hskp8
      | hskp19
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | c3_1(X91)
          | c2_1(X91) ) )
    & ( hskp10
      | hskp4
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90) ) )
    & ( hskp23
      | hskp4
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89) ) )
    & ( hskp11
      | hskp28
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88) ) )
    & ( hskp28
      | hskp15
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87) ) )
    & ( hskp28
      | hskp31
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86) ) )
    & ( hskp22
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84) ) )
    & ( hskp17
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | c1_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82) ) )
    & ( hskp21
      | hskp29
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81) ) )
    & ( hskp31
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c2_1(X80)
          | ~ c1_1(X80)
          | ~ c0_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c2_1(X79)
          | ~ c0_1(X79)
          | c1_1(X79) ) )
    & ( hskp17
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c2_1(X78)
          | ~ c0_1(X78)
          | c3_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c0_1(X76)
          | c2_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74) ) )
    & ( hskp20
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72) ) )
    & ( hskp17
      | hskp28
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( hskp17
      | hskp19
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | c3_1(X70)
          | c1_1(X70) ) )
    & ( hskp18
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c3_1(X68)
          | c1_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c2_1(X67)
          | ~ c0_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c1_1(X66)
          | c2_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c0_1(X65)
          | c3_1(X65)
          | c1_1(X65) ) )
    & ( hskp7
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63) ) )
    & ( hskp17
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c1_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c2_1(X61)
          | c1_1(X61) ) )
    & ( hskp30
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | c3_1(X60)
          | c1_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c0_1(X59)
          | c2_1(X59)
          | c1_1(X59) ) )
    & ( hskp16
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | c2_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c0_1(X57)
          | c2_1(X57)
          | c1_1(X57) ) )
    & ( ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c3_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | c3_1(X54)
          | c2_1(X54)
          | c1_1(X54) ) )
    & ( hskp11
      | hskp29
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53) ) )
    & ( hskp10
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51) ) )
    & ( hskp16
      | ! [X50] :
          ( ~ ndr1_0
          | c3_1(X50)
          | c2_1(X50)
          | c1_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49) ) )
    & ( hskp7
      | hskp2
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48) ) )
    & ( hskp0
      | hskp15
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47) ) )
    & ( hskp10
      | hskp15
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c1_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp8
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c2_1(X43)
          | ~ c1_1(X43)
          | c3_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c0_1(X42)
          | c3_1(X42)
          | c2_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | c3_1(X41)
          | c0_1(X41) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c0_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c3_1(X38)
          | c0_1(X38) ) )
    & ( hskp28
      | hskp15
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp14
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp6
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp13
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | ~ c1_1(X32)
          | ~ c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | ~ c2_1(X29)
          | ~ c0_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | c1_1(X28)
          | c0_1(X28) ) )
    & ( hskp12
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp11
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | c2_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c0_1(X22)
          | c2_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | ~ c1_1(X20)
          | ~ c0_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | c2_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c1_1(X18)
          | c0_1(X18) ) )
    & ( hskp10
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp9
      | hskp8
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp7
      | hskp6
      | ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp5
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c3_1(X11)
          | c0_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp4
      | hskp3
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp2
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c2_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c3_1(X6)
          | ~ c2_1(X6)
          | c0_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a141)
        & c1_1(a141)
        & c0_1(a141)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a131)
        & c2_1(a131)
        & c0_1(a131)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a118)
        & c2_1(a118)
        & c1_1(a118)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a196)
        & ~ c0_1(a196)
        & c2_1(a196)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a187)
        & ~ c1_1(a187)
        & c0_1(a187)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a167)
        & ~ c0_1(a167)
        & c1_1(a167)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a163)
        & ~ c2_1(a163)
        & ~ c1_1(a163)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a153)
        & ~ c1_1(a153)
        & ~ c0_1(a153)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a145)
        & ~ c1_1(a145)
        & ~ c0_1(a145)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a143)
        & ~ c1_1(a143)
        & c3_1(a143)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a139)
        & ~ c1_1(a139)
        & c0_1(a139)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a135)
        & ~ c2_1(a135)
        & c0_1(a135)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a134)
        & c3_1(a134)
        & c0_1(a134)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a126)
        & c3_1(a126)
        & c1_1(a126)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a117)
        & c3_1(a117)
        & c0_1(a117)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a116)
        & c2_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a114)
        & c2_1(a114)
        & c1_1(a114)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & ~ c0_1(a113)
        & c3_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a112)
        & ~ c2_1(a112)
        & c1_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a111)
        & ~ c2_1(a111)
        & ~ c0_1(a111)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a110)
        & ~ c1_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a109)
        & ~ c0_1(a109)
        & c1_1(a109)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a108)
        & c3_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a107)
        & c2_1(a107)
        & c1_1(a107)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a106)
        & c1_1(a106)
        & c0_1(a106)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a105)
        & c3_1(a105)
        & c2_1(a105)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a104)
        & c2_1(a104)
        & c0_1(a104)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a103)
        & c1_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a102)
        & ~ c0_1(a102)
        & c2_1(a102)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a101)
        & c3_1(a101)
        & c2_1(a101)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp24
      | hskp27
      | hskp25 )
    & ( hskp8
      | hskp25 )
    & ( hskp4
      | hskp11
      | hskp26 )
    & ( hskp0
      | hskp7
      | hskp26 )
    & ( hskp9
      | hskp4
      | hskp5 )
    & ( hskp25
      | hskp16
      | hskp5 )
    & ( hskp13
      | hskp15
      | hskp5 )
    & ( hskp24
      | hskp30
      | hskp31 )
    & ( hskp0
      | hskp25
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c2_1(X103)
          | ~ c1_1(X103) ) )
    & ( hskp11
      | hskp19
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102) ) )
    & ( hskp4
      | hskp13
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c2_1(X101)
          | ~ c1_1(X101)
          | c3_1(X101) ) )
    & ( hskp0
      | hskp25
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100) ) )
    & ( hskp1
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | ~ c0_1(X99) )
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c1_1(X98)
          | c2_1(X98) ) )
    & ( hskp16
      | hskp6
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( hskp24
      | hskp1
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | c2_1(X96) ) )
    & ( hskp4
      | hskp29
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | ~ c0_1(X95)
          | c2_1(X95) ) )
    & ( hskp12
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | ~ c1_1(X94)
          | c3_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | ~ c0_1(X93)
          | c2_1(X93) ) )
    & ( hskp19
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c1_1(X92)
          | c3_1(X92)
          | c2_1(X92) ) )
    & ( hskp8
      | hskp19
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | c3_1(X91)
          | c2_1(X91) ) )
    & ( hskp10
      | hskp4
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90) ) )
    & ( hskp23
      | hskp4
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c3_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89) ) )
    & ( hskp11
      | hskp28
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88) ) )
    & ( hskp28
      | hskp15
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87) ) )
    & ( hskp28
      | hskp31
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c1_1(X86) ) )
    & ( hskp22
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84) ) )
    & ( hskp17
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | c1_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82) ) )
    & ( hskp21
      | hskp29
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81) ) )
    & ( hskp31
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c2_1(X80)
          | ~ c1_1(X80)
          | ~ c0_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c2_1(X79)
          | ~ c0_1(X79)
          | c1_1(X79) ) )
    & ( hskp17
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c2_1(X78)
          | ~ c0_1(X78)
          | c3_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c0_1(X76)
          | c2_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | ~ c0_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74) ) )
    & ( hskp20
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72) ) )
    & ( hskp17
      | hskp28
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( hskp17
      | hskp19
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | c3_1(X70)
          | c1_1(X70) ) )
    & ( hskp18
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c3_1(X68)
          | c1_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c2_1(X67)
          | ~ c0_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c1_1(X66)
          | c2_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c0_1(X65)
          | c3_1(X65)
          | c1_1(X65) ) )
    & ( hskp7
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | ~ c1_1(X64)
          | ~ c0_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63) ) )
    & ( hskp17
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c1_1(X62)
          | ~ c0_1(X62)
          | c2_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c2_1(X61)
          | c1_1(X61) ) )
    & ( hskp30
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | c3_1(X60)
          | c1_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c0_1(X59)
          | c2_1(X59)
          | c1_1(X59) ) )
    & ( hskp16
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | c2_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c0_1(X57)
          | c2_1(X57)
          | c1_1(X57) ) )
    & ( ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c3_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | c3_1(X54)
          | c2_1(X54)
          | c1_1(X54) ) )
    & ( hskp11
      | hskp29
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53) ) )
    & ( hskp10
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | ~ c0_1(X52)
          | c3_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51) ) )
    & ( hskp16
      | ! [X50] :
          ( ~ ndr1_0
          | c3_1(X50)
          | c2_1(X50)
          | c1_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49) ) )
    & ( hskp7
      | hskp2
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48) ) )
    & ( hskp0
      | hskp15
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47) ) )
    & ( hskp10
      | hskp15
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c1_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp8
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c1_1(X45)
          | ~ c0_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c2_1(X43)
          | ~ c1_1(X43)
          | c3_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c0_1(X42)
          | c3_1(X42)
          | c2_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | c3_1(X41)
          | c0_1(X41) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c0_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c1_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c3_1(X38)
          | c0_1(X38) ) )
    & ( hskp28
      | hskp15
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp14
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp6
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp13
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c3_1(X32)
          | ~ c1_1(X32)
          | ~ c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | ~ c2_1(X29)
          | ~ c0_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | c1_1(X28)
          | c0_1(X28) ) )
    & ( hskp12
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp11
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c1_1(X23)
          | ~ c0_1(X23)
          | c2_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c0_1(X22)
          | c2_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | ~ c1_1(X20)
          | ~ c0_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | c2_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c1_1(X18)
          | c0_1(X18) ) )
    & ( hskp10
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | ~ c1_1(X17)
          | ~ c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp9
      | hskp8
      | ! [X15] :
          ( ~ ndr1_0
          | c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp7
      | hskp6
      | ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp5
      | ! [X13] :
          ( ~ ndr1_0
          | c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c3_1(X11)
          | c0_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp4
      | hskp3
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp2
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c2_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c3_1(X6)
          | ~ c2_1(X6)
          | c0_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a141)
        & c1_1(a141)
        & c0_1(a141)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a131)
        & c2_1(a131)
        & c0_1(a131)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a128)
        & c1_1(a128)
        & c0_1(a128)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a118)
        & c2_1(a118)
        & c1_1(a118)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a196)
        & ~ c0_1(a196)
        & c2_1(a196)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a187)
        & ~ c1_1(a187)
        & c0_1(a187)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a167)
        & ~ c0_1(a167)
        & c1_1(a167)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a163)
        & ~ c2_1(a163)
        & ~ c1_1(a163)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a153)
        & ~ c1_1(a153)
        & ~ c0_1(a153)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a145)
        & ~ c1_1(a145)
        & ~ c0_1(a145)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a143)
        & ~ c1_1(a143)
        & c3_1(a143)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a139)
        & ~ c1_1(a139)
        & c0_1(a139)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a135)
        & ~ c2_1(a135)
        & c0_1(a135)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a134)
        & c3_1(a134)
        & c0_1(a134)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a132)
        & ~ c0_1(a132)
        & c3_1(a132)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a126)
        & c3_1(a126)
        & c1_1(a126)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a117)
        & c3_1(a117)
        & c0_1(a117)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a116)
        & c2_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a114)
        & c2_1(a114)
        & c1_1(a114)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & ~ c0_1(a113)
        & c3_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a112)
        & ~ c2_1(a112)
        & c1_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a111)
        & ~ c2_1(a111)
        & ~ c0_1(a111)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a110)
        & ~ c1_1(a110)
        & c2_1(a110)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a109)
        & ~ c0_1(a109)
        & c1_1(a109)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a108)
        & c3_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c0_1(a107)
        & c2_1(a107)
        & c1_1(a107)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a106)
        & c1_1(a106)
        & c0_1(a106)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a105)
        & c3_1(a105)
        & c2_1(a105)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a104)
        & c2_1(a104)
        & c0_1(a104)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a103)
        & c1_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a102)
        & ~ c0_1(a102)
        & c2_1(a102)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a101)
        & c3_1(a101)
        & c2_1(a101)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f7,plain,
    ( hskp8
    | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp13
    | hskp15
    | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp24
    | hskp30
    | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X102] :
      ( hskp11
      | hskp19
      | ~ ndr1_0
      | ~ c3_1(X102)
      | ~ c2_1(X102)
      | ~ c0_1(X102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X96] :
      ( hskp24
      | hskp1
      | ~ ndr1_0
      | ~ c1_1(X96)
      | ~ c0_1(X96)
      | c2_1(X96) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X95] :
      ( hskp4
      | hskp29
      | ~ ndr1_0
      | ~ c1_1(X95)
      | ~ c0_1(X95)
      | c2_1(X95) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X92] :
      ( hskp19
      | ~ ndr1_0
      | ~ c1_1(X92)
      | c3_1(X92)
      | c2_1(X92) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X90] :
      ( hskp10
      | hskp4
      | ~ ndr1_0
      | ~ c3_1(X90)
      | ~ c0_1(X90)
      | c1_1(X90) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X88] :
      ( hskp11
      | hskp28
      | ~ ndr1_0
      | ~ c3_1(X88)
      | ~ c0_1(X88)
      | c1_1(X88) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X86] :
      ( hskp28
      | hskp31
      | ~ ndr1_0
      | ~ c3_1(X86)
      | ~ c0_1(X86)
      | c1_1(X86) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X81] :
      ( hskp21
      | hskp29
      | ~ ndr1_0
      | ~ c2_1(X81)
      | ~ c0_1(X81)
      | c1_1(X81) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ! [X53] :
      ( hskp11
      | hskp29
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X46] :
      ( hskp10
      | hskp15
      | ~ ndr1_0
      | ~ c1_1(X46)
      | c3_1(X46)
      | c0_1(X46) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X37] :
      ( hskp28
      | hskp15
      | ~ ndr1_0
      | ~ c3_1(X37)
      | c2_1(X37)
      | c0_1(X37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X13] :
      ( hskp5
      | ~ ndr1_0
      | c3_1(X13)
      | c1_1(X13)
      | c0_1(X13) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X9] :
      ( hskp4
      | hskp3
      | ~ ndr1_0
      | c2_1(X9)
      | c1_1(X9)
      | c0_1(X9) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( c3_1(a141)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( c1_1(a141)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( c0_1(a141)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f78,plain,
    ( c3_1(a131)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( c2_1(a131)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c0_1(a131)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( c2_1(a128)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( c1_1(a128)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( c0_1(a128)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c3_1(a118)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c2_1(a118)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c1_1(a118)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c2_1(a167)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ c0_1(a167)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c1_1(a167)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a163)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c2_1(a163)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ c1_1(a163)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f114,plain,
    ( ~ c2_1(a143)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c1_1(a143)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c3_1(a143)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c3_1(a139)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c0_1(a139)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c3_1(a135)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ c2_1(a135)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c0_1(a135)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c1_1(a132)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c0_1(a132)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c3_1(a132)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c2_1(a126)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( c3_1(a126)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c1_1(a126)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c1_1(a117)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( c3_1(a117)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c0_1(a117)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c3_1(a116)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c2_1(a116)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c0_1(a116)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c3_1(a114)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( c2_1(a114)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c1_1(a114)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c2_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c0_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c3_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c3_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c2_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c1_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c3_1(a111)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ c2_1(a111)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ c0_1(a111)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c3_1(a109)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c0_1(a109)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c1_1(a109)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c0_1(a107)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( c2_1(a107)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c1_1(a107)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c2_1(a106)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c1_1(a106)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c0_1(a106)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c1_1(a105)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c3_1(a105)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c2_1(a105)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c1_1(a104)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( c2_1(a104)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c0_1(a104)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c1_1(a102)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ c0_1(a102)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c2_1(a102)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_54,negated_conjecture,
    ( c2_1(a102)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a102) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a102) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_62,negated_conjecture,
    ( c0_1(a104)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_63,negated_conjecture,
    ( c2_1(a104)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a104) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_66,negated_conjecture,
    ( c2_1(a105)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_67,negated_conjecture,
    ( c3_1(a105)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a105) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_70,negated_conjecture,
    ( c0_1(a106)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_71,negated_conjecture,
    ( c1_1(a106)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a106) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_74,negated_conjecture,
    ( c1_1(a107)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_75,negated_conjecture,
    ( c2_1(a107)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a107) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_82,negated_conjecture,
    ( c1_1(a109)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a109) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a109) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_90,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a111) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_91,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a111) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a111) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_94,negated_conjecture,
    ( c1_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a112) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a112) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_98,negated_conjecture,
    ( c3_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a113) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a113) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_102,negated_conjecture,
    ( c1_1(a114)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_103,negated_conjecture,
    ( c2_1(a114)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a114) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_106,negated_conjecture,
    ( c0_1(a116)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_107,negated_conjecture,
    ( c2_1(a116)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a116) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_110,negated_conjecture,
    ( c0_1(a117)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_111,negated_conjecture,
    ( c3_1(a117)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a117) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_114,negated_conjecture,
    ( c1_1(a126)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_115,negated_conjecture,
    ( c3_1(a126)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a126) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_118,negated_conjecture,
    ( c3_1(a132)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a132) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a132) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_126,negated_conjecture,
    ( c0_1(a135)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_127,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a135) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a135) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_130,negated_conjecture,
    ( c0_1(a139)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a139) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_134,negated_conjecture,
    ( c3_1(a143)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a143) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a143) ),
    inference(cnf_transformation,[],[f114]) ).

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

tcf(c_146,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a163) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_147,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a163) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a163) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_150,negated_conjecture,
    ( c1_1(a167)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_151,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a167) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a167) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_162,negated_conjecture,
    ( c1_1(a118)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_163,negated_conjecture,
    ( c2_1(a118)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a118)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_166,negated_conjecture,
    ( c0_1(a128)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_167,negated_conjecture,
    ( c1_1(a128)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_168,negated_conjecture,
    ( c2_1(a128)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_169,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_170,negated_conjecture,
    ( c0_1(a131)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_171,negated_conjecture,
    ( c2_1(a131)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_172,negated_conjecture,
    ( c3_1(a131)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f78]) ).

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

tcf(c_174,negated_conjecture,
    ( c0_1(a141)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_175,negated_conjecture,
    ( c1_1(a141)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_176,negated_conjecture,
    ( c3_1(a141)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f74]) ).

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

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp3
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f69]) ).

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

tcf(c_183,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

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

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp15
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp10
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp11
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp21
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i] :
      ( hskp31
      | hskp28
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp11
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp4
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp4
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp1
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp11
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_237,negated_conjecture,
    ( hskp31
    | hskp30
    | hskp24 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_238,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp5 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_243,negated_conjecture,
    ( hskp25
    | hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_276,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_173,c_237,c_173,c_169,c_145]) ).

tcf(c_340,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_237,c_173,c_169,c_145,c_183]) ).

tcf(c_343,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_237,c_173,c_169,c_145,c_227]) ).

tcf(c_352,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp3
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_237,c_173,c_169,c_145,c_181]) ).

tcf(c_367,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp10
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_237,c_173,c_169,c_145,c_199]) ).

tcf(c_370,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp15
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_237,c_173,c_169,c_145,c_195]) ).

tcf(c_382,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp1
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_237,c_173,c_169,c_145,c_230]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp1
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_382]) ).

tcf(c_385,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp4
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_237,c_173,c_169,c_145,c_229]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp4
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_385]) ).

tcf(c_388,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp4
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_237,c_173,c_169,c_145,c_225]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp4
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_388]) ).

tcf(c_394,plain,
    ! [X0: $i] :
      ( hskp28
      | hskp11
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_237,c_173,c_169,c_145,c_223]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp11
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_394]) ).

tcf(c_400,plain,
    ! [X0: $i] :
      ( hskp31
      | hskp28
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_237,c_173,c_169,c_145,c_221]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp31
      | hskp28
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_400]) ).

tcf(c_403,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp21
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_237,c_173,c_169,c_145,c_218]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp21
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_403]) ).

tcf(c_406,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp11
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_237,c_173,c_169,c_145,c_204]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp11
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_406]) ).

tcf(c_415,plain,
    ! [X0: $i] :
      ( hskp19
      | hskp11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_237,c_173,c_169,c_145,c_235]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp11
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_415]) ).

tcf(c_423,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_237,c_173,c_169,c_145,c_206]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_423]) ).

tcf(c_426,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_237,c_173,c_169,c_145,c_202]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_426]) ).

tcf(c_428,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_237,c_173,c_169,c_145,c_193]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_428]) ).

tcf(c_434,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_237,c_173,c_169,c_145,c_179]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_434]) ).

tcf(c_438,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_237,c_173,c_169,c_145,c_208]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_438]) ).

tcf(c_440,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_237,c_173,c_169,c_145,c_194]) ).

tcf(c_441,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_440]) ).

tcf(c_442,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_237,c_173,c_169,c_145,c_192]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_442]) ).

tcf(c_444,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_237,c_173,c_169,c_145,c_190]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_444]) ).

tcf(c_446,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_237,c_173,c_169,c_145,c_228]) ).

tcf(c_447,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_446]) ).

tcf(c_450,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_237,c_173,c_169,c_145,c_219]) ).

tcf(c_451,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_450]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_237,c_173,c_169,c_145,c_216]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_453]) ).

tcf(c_456,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_237,c_173,c_169,c_145,c_214]) ).

tcf(c_457,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_456]) ).

tcf(c_461,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_237,c_173,c_169,c_145,c_203]) ).

tcf(c_462,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_461]) ).

tcf(c_465,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_237,c_173,c_169,c_145,c_186]) ).

tcf(c_466,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_465]) ).

tcf(c_467,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_237,c_173,c_169,c_145,c_232]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_467]) ).

tcf(c_469,plain,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_237,c_173,c_169,c_145,c_217]) ).

tcf(c_470,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp31
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_469]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_237,c_173,c_169,c_145,c_182]) ).

tcf(c_472,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_471]) ).

tcf(c_473,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_237,c_173,c_169,c_145,c_205]) ).

tcf(c_474,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_473]) ).

tcf(c_475,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_237,c_173,c_169,c_145,c_197]) ).

tcf(c_476,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_475]) ).

tcf(c_477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_237,c_173,c_169,c_145,c_196]) ).

tcf(c_478,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_477]) ).

tcf(c_479,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_188,c_276]) ).

tcf(c_480,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_479]) ).

tcf(c_481,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_237,c_173,c_169,c_145,c_177]) ).

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

tcf(c_483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_237,c_173,c_169,c_145,c_187]) ).

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

tcf(c_485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_237,c_173,c_169,c_145,c_215]) ).

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

tcf(c_487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X2)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_237,c_173,c_169,c_145,c_210]) ).

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

tcf(c_489,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_237,c_173,c_169,c_145,c_191]) ).

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

tcf(c_2847,plain,
    ( hskp15
    | hskp13
    | ~ c2_1(a106) ),
    inference(resolution,[status(thm)],[c_238,c_72]) ).

tcf(c_2857,plain,
    ( hskp15
    | hskp13
    | c1_1(a106) ),
    inference(resolution,[status(thm)],[c_238,c_71]) ).

tcf(c_2867,plain,
    ( hskp15
    | hskp13
    | c0_1(a106) ),
    inference(resolution,[status(thm)],[c_238,c_70]) ).

tcf(c_4032,plain,
    ( hskp31
    | hskp30
    | ~ c3_1(a163) ),
    inference(resolution,[status(thm)],[c_237,c_148]) ).

tcf(c_4042,plain,
    ( hskp31
    | hskp30
    | ~ c2_1(a163) ),
    inference(resolution,[status(thm)],[c_237,c_147]) ).

tcf(c_4052,plain,
    ( hskp31
    | hskp30
    | ~ c1_1(a163) ),
    inference(resolution,[status(thm)],[c_237,c_146]) ).

tcf(c_4521,plain,
    ( hskp25
    | ~ c3_1(a109) ),
    inference(resolution,[status(thm)],[c_243,c_84]) ).

tcf(c_4528,plain,
    ( hskp25
    | ~ c0_1(a109) ),
    inference(resolution,[status(thm)],[c_243,c_83]) ).

tcf(c_4535,plain,
    ( hskp25
    | c1_1(a109) ),
    inference(resolution,[status(thm)],[c_243,c_82]) ).

tcf(c_15501,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_490]) ).

tcf(c_15502,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_490]) ).

tcf(c_15503,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_490]) ).

tcf(c_15504,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

tcf(c_15505,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_488]) ).

tcf(c_15509,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_486]) ).

tcf(c_15510,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_486]) ).

tcf(c_15512,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_484]) ).

tcf(c_15513,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_484]) ).

tcf(c_15514,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

tcf(c_15515,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_482]) ).

tcf(c_15516,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_482]) ).

tcf(c_15517,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

tcf(c_15518,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_480]) ).

tcf(c_15519,negated_conjecture,
    ( iPr_def_22
    | iPr_def_16
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

tcf(c_15520,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_478]) ).

tcf(c_15521,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_478]) ).

tcf(c_15522,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_478]) ).

tcf(c_15523,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

tcf(c_15524,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_476]) ).

tcf(c_15525,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_476]) ).

tcf(c_15526,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

tcf(c_15527,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_474]) ).

tcf(c_15528,negated_conjecture,
    ( iPr_def_28
    | iPr_def_26
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

tcf(c_15529,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_472]) ).

tcf(c_15533,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_470]) ).

tcf(c_15534,negated_conjecture,
    ( iPr_def_32
    | iPr_def_17
    | hskp31 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).

tcf(c_15535,negated_conjecture,
    ( iPr_def_13
    | iPr_def_12
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

tcf(c_15536,negated_conjecture,
    ( iPr_def_21
    | iPr_def_18
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

tcf(c_15538,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_462]) ).

tcf(c_15539,negated_conjecture,
    ( iPr_def_33
    | iPr_def_29
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

tcf(c_15541,negated_conjecture,
    ( iPr_def_24
    | iPr_def_17
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

tcf(c_15542,negated_conjecture,
    ( iPr_def_29
    | iPr_def_17
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_15543,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_451]) ).

tcf(c_15544,negated_conjecture,
    ( iPr_def_34
    | iPr_def_24
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_451]) ).

tcf(c_15547,negated_conjecture,
    ( iPr_def_27
    | iPr_def_16
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_447]) ).

tcf(c_15548,negated_conjecture,
    ( iPr_def_29
    | iPr_def_11
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

tcf(c_15549,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_443]) ).

tcf(c_15550,negated_conjecture,
    ( iPr_def_36
    | iPr_def_18
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

tcf(c_15551,negated_conjecture,
    ( iPr_def_19
    | iPr_def_17
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

tcf(c_15552,negated_conjecture,
    ( iPr_def_22
    | iPr_def_16
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

tcf(c_15554,negated_conjecture,
    ( iPr_def_33
    | iPr_def_20
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).

tcf(c_15558,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_429]) ).

tcf(c_15559,negated_conjecture,
    ( iPr_def_38
    | iPr_def_25
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

tcf(c_15560,negated_conjecture,
    ( iPr_def_33
    | iPr_def_28
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

tcf(c_15561,negated_conjecture,
    ( iPr_def_25
    | iPr_def_22
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

tcf(c_15565,negated_conjecture,
    ( iPr_def_12
    | hskp19
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_416]) ).

tcf(c_15569,negated_conjecture,
    ( iPr_def_33
    | hskp29
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_407]) ).

tcf(c_15570,negated_conjecture,
    ( iPr_def_17
    | hskp29
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).

tcf(c_15571,negated_conjecture,
    ( iPr_def_24
    | hskp31
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

tcf(c_15573,negated_conjecture,
    ( iPr_def_24
    | hskp28
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

tcf(c_15575,negated_conjecture,
    ( iPr_def_24
    | hskp10
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

tcf(c_15576,negated_conjecture,
    ( iPr_def_16
    | hskp29
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

tcf(c_15577,negated_conjecture,
    ( iPr_def_16
    | hskp24
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

tcf(c_15581,negated_conjecture,
    ( iPr_def_19
    | hskp28
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_370]) ).

tcf(c_15582,negated_conjecture,
    ( iPr_def_23
    | hskp15
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_367]) ).

tcf(c_15587,negated_conjecture,
    ( iPr_def_20
    | hskp4
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_352]) ).

tcf(c_15593,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_15504]) ).

tcf(c_15605,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_11 ),
    inference(demodulation,[status(thm)],[c_15514]) ).

tcf(c_15609,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_15517]) ).

tcf(c_15613,negated_conjecture,
    ( iPr_def_22
    | iPr_def_16
    | iPr_def_11 ),
    inference(demodulation,[status(thm)],[c_15519]) ).

tcf(c_15617,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_23 ),
    inference(demodulation,[status(thm)],[c_15523]) ).

tcf(c_15621,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_23 ),
    inference(demodulation,[status(thm)],[c_15526]) ).

tcf(c_15625,negated_conjecture,
    ( iPr_def_28
    | iPr_def_26
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_15528]) ).

tcf(c_15633,negated_conjecture,
    ( iPr_def_32
    | iPr_def_17
    | hskp31 ),
    inference(demodulation,[status(thm)],[c_15534]) ).

tcf(c_15636,negated_conjecture,
    ( iPr_def_13
    | iPr_def_12
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_15535]) ).

tcf(c_15639,negated_conjecture,
    ( iPr_def_21
    | iPr_def_18
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_15536]) ).

tcf(c_15640,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_21
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15516]) ).

tcf(c_15645,negated_conjecture,
    ( iPr_def_33
    | iPr_def_29
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_15539]) ).

tcf(c_15649,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15533]) ).

tcf(c_15651,negated_conjecture,
    ( iPr_def_24
    | iPr_def_17
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_15541]) ).

tcf(c_15654,negated_conjecture,
    ( iPr_def_29
    | iPr_def_17
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_15542]) ).

tcf(c_15657,negated_conjecture,
    ( iPr_def_34
    | iPr_def_24
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_15544]) ).

tcf(c_15658,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_34
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15543]) ).

tcf(c_15663,negated_conjecture,
    ( iPr_def_27
    | iPr_def_16
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_15547]) ).

tcf(c_15666,negated_conjecture,
    ( iPr_def_29
    | iPr_def_11
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_15548]) ).

tcf(c_15667,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_29
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15529]) ).

tcf(c_15669,negated_conjecture,
    ( iPr_def_36
    | iPr_def_18
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_15550]) ).

tcf(c_15670,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15512]) ).

tcf(c_15671,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_36 ),
    inference(demodulation,[status(thm)],[c_15549]) ).

tcf(c_15672,negated_conjecture,
    ( iPr_def_19
    | iPr_def_17
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_15551]) ).

tcf(c_15675,negated_conjecture,
    ( iPr_def_22
    | iPr_def_16
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_15552]) ).

tcf(c_15681,negated_conjecture,
    ( iPr_def_33
    | iPr_def_20
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_15554]) ).

tcf(c_15685,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_13
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15505]) ).

tcf(c_15690,negated_conjecture,
    ( iPr_def_38
    | iPr_def_25
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_15559]) ).

tcf(c_15692,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_38
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15558]) ).

tcf(c_15693,negated_conjecture,
    ( iPr_def_33
    | iPr_def_28
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_15560]) ).

tcf(c_15695,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_28 ),
    inference(demodulation,[status(thm)],[c_15527]) ).

tcf(c_15696,negated_conjecture,
    ( iPr_def_25
    | iPr_def_22
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_15561]) ).

tcf(c_15697,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ iPr_def_25
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15522]) ).

tcf(c_15701,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ iPr_def_22
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15518]) ).

tcf(c_15703,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_11
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15502]) ).

tcf(c_15705,negated_conjecture,
    ( iPr_def_12
    | hskp19
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_15565]) ).

tcf(c_15706,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15503]) ).

tcf(c_15708,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15501]) ).

tcf(c_15711,negated_conjecture,
    ( iPr_def_33
    | hskp29
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_15569]) ).

tcf(c_15712,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_33
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15538]) ).

tcf(c_15713,negated_conjecture,
    ( iPr_def_17
    | hskp29
    | hskp21 ),
    inference(demodulation,[status(thm)],[c_15570]) ).

tcf(c_15714,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_17
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15510]) ).

tcf(c_15715,negated_conjecture,
    ( iPr_def_24
    | hskp31
    | hskp28 ),
    inference(demodulation,[status(thm)],[c_15571]) ).

tcf(c_15719,negated_conjecture,
    ( iPr_def_24
    | hskp28
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_15573]) ).

tcf(c_15723,negated_conjecture,
    ( iPr_def_24
    | hskp10
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_15575]) ).

tcf(c_15724,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_24
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15521]) ).

tcf(c_15725,negated_conjecture,
    ( iPr_def_16
    | hskp29
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_15576]) ).

tcf(c_15727,negated_conjecture,
    ( iPr_def_16
    | hskp24
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_15577]) ).

tcf(c_15728,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_16
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15509]) ).

tcf(c_15734,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_27
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_15525]) ).

tcf(c_15735,negated_conjecture,
    ( iPr_def_19
    | hskp28
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_15581]) ).

tcf(c_15736,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_19
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_15513]) ).

tcf(c_15737,negated_conjecture,
    ( iPr_def_23
    | hskp15
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_15582]) ).

tcf(c_15738,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_23
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_15520]) ).

tcf(c_15746,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_26
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_15524]) ).

tcf(c_15747,negated_conjecture,
    ( iPr_def_20
    | hskp4
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_15587]) ).

tcf(c_15748,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_15515]) ).

tcf(c_15753,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_343]) ).

tcf(c_15754,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_340]) ).

tcf(c_15890,plain,
    ( c3_1(a114)
    | ~ iPr_def_29
    | ~ c0_1(a114)
    | ~ c2_1(a114) ),
    inference(instantiation,[status(thm)],[c_15667]) ).

tcf(c_15891,plain,
    ( c3_1(a116)
    | ~ iPr_def_29
    | ~ c0_1(a116)
    | ~ c2_1(a116) ),
    inference(instantiation,[status(thm)],[c_15667]) ).

tcf(c_15892,plain,
    ( c1_1(a105)
    | c0_1(a105)
    | ~ iPr_def_11
    | ~ c3_1(a105) ),
    inference(instantiation,[status(thm)],[c_15703]) ).

tcf(c_15897,plain,
    ( c1_1(a132)
    | c0_1(a132)
    | ~ iPr_def_11
    | ~ c3_1(a132) ),
    inference(instantiation,[status(thm)],[c_15703]) ).

tcf(c_15902,plain,
    ( ~ iPr_def_12
    | ~ c0_1(a105)
    | ~ c3_1(a105)
    | ~ c2_1(a105) ),
    inference(instantiation,[status(thm)],[c_15706]) ).

tcf(c_15909,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a107)
    | ~ c3_1(a107)
    | ~ c2_1(a107) ),
    inference(instantiation,[status(thm)],[c_15708]) ).

tcf(c_15923,plain,
    ( c0_1(a107)
    | c3_1(a107)
    | ~ iPr_def_23
    | ~ c1_1(a107) ),
    inference(instantiation,[status(thm)],[c_15738]) ).

tcf(c_15925,plain,
    ( c0_1(a112)
    | c3_1(a112)
    | ~ iPr_def_23
    | ~ c1_1(a112) ),
    inference(instantiation,[status(thm)],[c_15738]) ).

tcf(c_15926,plain,
    ( c0_1(a114)
    | c3_1(a114)
    | ~ iPr_def_23
    | ~ c1_1(a114) ),
    inference(instantiation,[status(thm)],[c_15738]) ).

tcf(c_15928,plain,
    ( c0_1(a167)
    | c3_1(a167)
    | ~ iPr_def_23
    | ~ c1_1(a167) ),
    inference(instantiation,[status(thm)],[c_15738]) ).

tcf(c_15938,plain,
    ( ~ iPr_def_18
    | ~ c1_1(a106)
    | ~ c0_1(a106)
    | ~ c3_1(a106) ),
    inference(instantiation,[status(thm)],[c_15670]) ).

tcf(c_15944,plain,
    ( ~ iPr_def_18
    | ~ c1_1(a141)
    | ~ c0_1(a141)
    | ~ c3_1(a141) ),
    inference(instantiation,[status(thm)],[c_15670]) ).

tcf(c_15948,plain,
    ( c1_1(a117)
    | ~ iPr_def_17
    | ~ c0_1(a117)
    | ~ c2_1(a117) ),
    inference(instantiation,[status(thm)],[c_15714]) ).

tcf(c_15954,plain,
    ( c2_1(a106)
    | ~ iPr_def_16
    | ~ c1_1(a106)
    | ~ c0_1(a106) ),
    inference(instantiation,[status(thm)],[c_15728]) ).

tcf(c_15958,plain,
    ( c2_1(a135)
    | ~ iPr_def_16
    | ~ c1_1(a135)
    | ~ c0_1(a135) ),
    inference(instantiation,[status(thm)],[c_15728]) ).

tcf(c_15962,plain,
    ( c1_1(a111)
    | c0_1(a111)
    | c2_1(a111)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_15748]) ).

tcf(c_15977,plain,
    ( c3_1(a139)
    | ~ iPr_def_29
    | ~ c0_1(a139)
    | ~ c2_1(a139) ),
    inference(instantiation,[status(thm)],[c_15667]) ).

tcf(c_15984,plain,
    ( c2_1(a167)
    | ~ iPr_def_13
    | ~ c1_1(a167)
    | ~ c3_1(a167) ),
    inference(instantiation,[status(thm)],[c_15685]) ).

tcf(c_15993,plain,
    ( c1_1(a143)
    | c2_1(a143)
    | ~ iPr_def_25
    | ~ c3_1(a143) ),
    inference(instantiation,[status(thm)],[c_15697]) ).

tcf(c_16021,plain,
    ( c2_1(a112)
    | ~ iPr_def_16
    | ~ c1_1(a112)
    | ~ c0_1(a112) ),
    inference(instantiation,[status(thm)],[c_15728]) ).

tcf(c_16034,plain,
    ( c0_1(a109)
    | c3_1(a109)
    | ~ iPr_def_23
    | ~ c1_1(a109) ),
    inference(instantiation,[status(thm)],[c_15738]) ).

tcf(c_16042,plain,
    ( c1_1(a163)
    | c0_1(a163)
    | c2_1(a163)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_15748]) ).

tcf(c_16047,plain,
    ( ~ iPr_def_32
    | ~ c1_1(a128)
    | ~ c0_1(a128)
    | ~ c2_1(a128) ),
    inference(instantiation,[status(thm)],[c_15649]) ).

tcf(c_16048,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a128)
    | ~ c3_1(a128)
    | ~ c2_1(a128) ),
    inference(instantiation,[status(thm)],[c_15708]) ).

tcf(c_16051,plain,
    ( c3_1(a128)
    | ~ iPr_def_29
    | ~ c0_1(a128)
    | ~ c2_1(a128) ),
    inference(instantiation,[status(thm)],[c_15667]) ).

tcf(c_16054,plain,
    ( ~ iPr_def_18
    | ~ c1_1(a128)
    | ~ c0_1(a128)
    | ~ c3_1(a128) ),
    inference(instantiation,[status(thm)],[c_15670]) ).

tcf(c_16064,plain,
    ( c1_1(a117)
    | ~ iPr_def_24
    | ~ c0_1(a117)
    | ~ c3_1(a117) ),
    inference(instantiation,[status(thm)],[c_15724]) ).

tcf(c_16072,plain,
    ( hskp5
    | c1_1(a111)
    | c0_1(a111)
    | c3_1(a111) ),
    inference(instantiation,[status(thm)],[c_15754]) ).

tcf(c_16088,plain,
    ( c0_1(a113)
    | c2_1(a113)
    | ~ iPr_def_19
    | ~ c3_1(a113) ),
    inference(instantiation,[status(thm)],[c_15736]) ).

tcf(c_16091,plain,
    ( c0_1(a143)
    | c2_1(a143)
    | ~ iPr_def_19
    | ~ c3_1(a143) ),
    inference(instantiation,[status(thm)],[c_15736]) ).

tcf(c_16094,plain,
    ( c0_1(a167)
    | c2_1(a167)
    | ~ iPr_def_19
    | ~ c3_1(a167) ),
    inference(instantiation,[status(thm)],[c_15736]) ).

tcf(c_16098,plain,
    ( c1_1(a111)
    | c3_1(a111)
    | c2_1(a111)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_15695]) ).

tcf(c_16100,plain,
    ( c1_1(a135)
    | c3_1(a135)
    | c2_1(a135)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_15695]) ).

tcf(c_16102,plain,
    ( c1_1(a163)
    | c3_1(a163)
    | c2_1(a163)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_15695]) ).

tcf(c_16132,plain,
    ( c0_1(a111)
    | c3_1(a111)
    | c2_1(a111)
    | ~ iPr_def_36 ),
    inference(instantiation,[status(thm)],[c_15671]) ).

tcf(c_16138,plain,
    ( c1_1(a105)
    | ~ iPr_def_17
    | ~ c0_1(a105)
    | ~ c2_1(a105) ),
    inference(instantiation,[status(thm)],[c_15714]) ).

tcf(c_16167,plain,
    ( c0_1(a111)
    | c3_1(a111)
    | ~ iPr_def_23
    | ~ c1_1(a111) ),
    inference(instantiation,[status(thm)],[c_15738]) ).

tcf(c_16174,plain,
    ( c3_1(a135)
    | c2_1(a135)
    | ~ iPr_def_26
    | ~ c0_1(a135) ),
    inference(instantiation,[status(thm)],[c_15746]) ).

tcf(c_16175,plain,
    ( c3_1(a139)
    | c2_1(a139)
    | ~ iPr_def_26
    | ~ c0_1(a139) ),
    inference(instantiation,[status(thm)],[c_15746]) ).

tcf(c_16176,plain,
    ( c3_1(a163)
    | c2_1(a163)
    | ~ iPr_def_26
    | ~ c0_1(a163) ),
    inference(instantiation,[status(thm)],[c_15746]) ).

tcf(c_16177,plain,
    ( c3_1(a106)
    | c2_1(a106)
    | ~ iPr_def_26
    | ~ c0_1(a106) ),
    inference(instantiation,[status(thm)],[c_15746]) ).

tcf(c_16194,plain,
    ( c1_1(a105)
    | ~ iPr_def_34
    | ~ c3_1(a105)
    | ~ c2_1(a105) ),
    inference(instantiation,[status(thm)],[c_15658]) ).

tcf(c_16196,plain,
    ( c1_1(a117)
    | ~ iPr_def_34
    | ~ c3_1(a117)
    | ~ c2_1(a117) ),
    inference(instantiation,[status(thm)],[c_15658]) ).

tcf(c_16225,plain,
    ( c1_1(a117)
    | c2_1(a117)
    | ~ iPr_def_25
    | ~ c3_1(a117) ),
    inference(instantiation,[status(thm)],[c_15697]) ).

tcf(c_16351,plain,
    ( c0_1(a107)
    | ~ iPr_def_33
    | ~ c3_1(a107)
    | ~ c2_1(a107) ),
    inference(instantiation,[status(thm)],[c_15712]) ).

tcf(c_16356,plain,
    ( c0_1(a132)
    | ~ iPr_def_33
    | ~ c3_1(a132)
    | ~ c2_1(a132) ),
    inference(instantiation,[status(thm)],[c_15712]) ).

tcf(c_16365,plain,
    ( ~ iPr_def_12
    | ~ c0_1(a118)
    | ~ c3_1(a118)
    | ~ c2_1(a118) ),
    inference(instantiation,[status(thm)],[c_15706]) ).

tcf(c_16366,plain,
    ( c3_1(a112)
    | c2_1(a112)
    | ~ iPr_def_26
    | ~ c0_1(a112) ),
    inference(instantiation,[status(thm)],[c_15746]) ).

tcf(c_16380,plain,
    ( c1_1(a132)
    | c0_1(a132)
    | c2_1(a132)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_15748]) ).

tcf(c_16388,plain,
    ( c1_1(a117)
    | c2_1(a117)
    | ~ iPr_def_22
    | ~ c0_1(a117) ),
    inference(instantiation,[status(thm)],[c_15701]) ).

tcf(c_16391,plain,
    ( c1_1(a163)
    | c2_1(a163)
    | ~ iPr_def_22
    | ~ c0_1(a163) ),
    inference(instantiation,[status(thm)],[c_15701]) ).

tcf(c_16397,plain,
    ( c3_1(a107)
    | ~ iPr_def_27
    | ~ c1_1(a107)
    | ~ c2_1(a107) ),
    inference(instantiation,[status(thm)],[c_15734]) ).

tcf(c_16427,plain,
    ( hskp19
    | c3_1(a112)
    | c2_1(a112)
    | ~ c1_1(a112) ),
    inference(instantiation,[status(thm)],[c_15753]) ).

tcf(c_16429,plain,
    ( ~ iPr_def_12
    | ~ c0_1(a131)
    | ~ c3_1(a131)
    | ~ c2_1(a131) ),
    inference(instantiation,[status(thm)],[c_15706]) ).

tcf(c_16430,plain,
    ( ~ iPr_def_18
    | ~ c1_1(a131)
    | ~ c0_1(a131)
    | ~ c3_1(a131) ),
    inference(instantiation,[status(thm)],[c_15670]) ).

tcf(c_16440,plain,
    ( ~ iPr_def_12
    | ~ c0_1(a128)
    | ~ c3_1(a128)
    | ~ c2_1(a128) ),
    inference(instantiation,[status(thm)],[c_15706]) ).

tcf(c_16448,plain,
    ( hskp19
    | c3_1(a111)
    | c2_1(a111)
    | ~ c1_1(a111) ),
    inference(instantiation,[status(thm)],[c_15753]) ).

tcf(c_16477,plain,
    ( c1_1(a132)
    | c2_1(a132)
    | ~ iPr_def_25
    | ~ c3_1(a132) ),
    inference(instantiation,[status(thm)],[c_15697]) ).

tcf(c_16483,plain,
    ( c0_1(a126)
    | c2_1(a126)
    | ~ iPr_def_19
    | ~ c3_1(a126) ),
    inference(instantiation,[status(thm)],[c_15736]) ).

tcf(c_16550,plain,
    ( c1_1(a102)
    | c0_1(a102)
    | ~ iPr_def_21
    | ~ c2_1(a102) ),
    inference(instantiation,[status(thm)],[c_15640]) ).

tcf(c_16551,plain,
    ( c1_1(a105)
    | c0_1(a105)
    | ~ iPr_def_21
    | ~ c2_1(a105) ),
    inference(instantiation,[status(thm)],[c_15640]) ).

tcf(c_16553,plain,
    ( c1_1(a132)
    | c0_1(a132)
    | ~ iPr_def_21
    | ~ c2_1(a132) ),
    inference(instantiation,[status(thm)],[c_15640]) ).

tcf(c_16649,plain,
    ( c3_1(a114)
    | ~ iPr_def_27
    | ~ c1_1(a114)
    | ~ c2_1(a114) ),
    inference(instantiation,[status(thm)],[c_15734]) ).

tcf(c_16702,plain,
    ( c1_1(a131)
    | c0_1(a131)
    | ~ iPr_def_21
    | ~ c2_1(a131) ),
    inference(instantiation,[status(thm)],[c_15640]) ).

tcf(c_16703,plain,
    ( c1_1(a131)
    | c2_1(a131)
    | ~ iPr_def_25
    | ~ c3_1(a131) ),
    inference(instantiation,[status(thm)],[c_15697]) ).

tcf(c_16704,plain,
    ( c1_1(a131)
    | c2_1(a131)
    | ~ iPr_def_22
    | ~ c0_1(a131) ),
    inference(instantiation,[status(thm)],[c_15701]) ).

tcf(c_16705,plain,
    ( c1_1(a131)
    | c0_1(a131)
    | c2_1(a131)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_15748]) ).

tcf(c_16706,plain,
    ( c1_1(a131)
    | ~ iPr_def_34
    | ~ c3_1(a131)
    | ~ c2_1(a131) ),
    inference(instantiation,[status(thm)],[c_15658]) ).

tcf(c_16707,plain,
    ( c1_1(a131)
    | ~ iPr_def_17
    | ~ c0_1(a131)
    | ~ c2_1(a131) ),
    inference(instantiation,[status(thm)],[c_15714]) ).

tcf(c_16718,plain,
    ( c1_1(a131)
    | c3_1(a131)
    | c2_1(a131)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_15695]) ).

tcf(c_16725,plain,
    ( c3_1(a128)
    | ~ iPr_def_27
    | ~ c1_1(a128)
    | ~ c2_1(a128) ),
    inference(instantiation,[status(thm)],[c_15734]) ).

tcf(c_16743,plain,
    ( c0_1(a118)
    | ~ iPr_def_33
    | ~ c3_1(a118)
    | ~ c2_1(a118) ),
    inference(instantiation,[status(thm)],[c_15712]) ).

tcf(c_16779,plain,
    ( c1_1(a104)
    | ~ iPr_def_17
    | ~ c0_1(a104)
    | ~ c2_1(a104) ),
    inference(instantiation,[status(thm)],[c_15714]) ).

tcf(c_16845,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a118)
    | ~ c3_1(a118)
    | ~ c2_1(a118) ),
    inference(instantiation,[status(thm)],[c_15708]) ).

tcf(c_17087,plain,
    ( ~ iPr_def_18
    | ~ c1_1(a126)
    | ~ c0_1(a126)
    | ~ c3_1(a126) ),
    inference(instantiation,[status(thm)],[c_15670]) ).

tcf(c_17090,plain,
    ( ~ iPr_def_18
    | ~ c1_1(a118)
    | ~ c0_1(a118)
    | ~ c3_1(a118) ),
    inference(instantiation,[status(thm)],[c_15670]) ).

tcf(c_17096,plain,
    ( c0_1(a105)
    | ~ iPr_def_33
    | ~ c3_1(a105)
    | ~ c2_1(a105) ),
    inference(instantiation,[status(thm)],[c_15712]) ).

tcf(c_17097,plain,
    ( c1_1(a105)
    | ~ iPr_def_24
    | ~ c0_1(a105)
    | ~ c3_1(a105) ),
    inference(instantiation,[status(thm)],[c_15724]) ).

tcf(c_17192,plain,
    ( c0_1(a112)
    | c2_1(a112)
    | ~ iPr_def_38
    | ~ c1_1(a112) ),
    inference(instantiation,[status(thm)],[c_15692]) ).

tcf(c_17194,plain,
    ( c0_1(a167)
    | c2_1(a167)
    | ~ iPr_def_38
    | ~ c1_1(a167) ),
    inference(instantiation,[status(thm)],[c_15692]) ).

tcf(c_17200,plain,
    ( c0_1(a111)
    | c2_1(a111)
    | ~ iPr_def_38
    | ~ c1_1(a111) ),
    inference(instantiation,[status(thm)],[c_15692]) ).

tcf(c_17207,plain,
    ( c1_1(a143)
    | c2_1(a143)
    | ~ iPr_def_22
    | ~ c0_1(a143) ),
    inference(instantiation,[status(thm)],[c_15701]) ).

tcf(c_17208,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17207,c_17200,c_17194,c_17192,c_17097,c_17096,c_17090,c_17087,c_16845,c_16779,c_16743,c_16725,c_16718,c_16702,c_16703,c_16704,c_16705,c_16706,c_16707,c_16649,c_16553,c_16551,c_16550,c_16483,c_16477,c_16448,c_16440,c_16430,c_16429,c_16427,c_16397,c_16391,c_16388,c_16380,c_16366,c_16365,c_16356,c_16351,c_16225,c_16196,c_16194,c_16177,c_16176,c_16175,c_16174,c_16167,c_16138,c_16132,c_16102,c_16100,c_16098,c_16094,c_16091,c_16088,c_16072,c_16064,c_16051,c_16054,c_16047,c_16048,c_16042,c_16034,c_16021,c_15993,c_15984,c_15977,c_15962,c_15958,c_15954,c_15948,c_15944,c_15938,c_15928,c_15926,c_15925,c_15923,c_15909,c_15902,c_15897,c_15892,c_15891,c_15890,c_15747,c_15737,c_15735,c_15727,c_15725,c_15723,c_15719,c_15715,c_15713,c_15711,c_15705,c_15696,c_15693,c_15690,c_15681,c_15675,c_15672,c_15669,c_15666,c_15663,c_15657,c_15654,c_15651,c_15645,c_15639,c_15636,c_15633,c_15625,c_15621,c_15617,c_15613,c_15609,c_15605,c_15593,c_4535,c_4528,c_4521,c_4052,c_4042,c_4032,c_2867,c_2857,c_2847,c_55,c_56,c_64,c_68,c_72,c_76,c_90,c_91,c_92,c_95,c_96,c_99,c_100,c_104,c_108,c_112,c_116,c_119,c_120,c_127,c_128,c_132,c_135,c_136,c_146,c_147,c_148,c_151,c_152,c_54,c_62,c_63,c_66,c_67,c_70,c_71,c_74,c_75,c_94,c_98,c_102,c_103,c_106,c_107,c_110,c_111,c_114,c_115,c_118,c_126,c_130,c_134,c_150,c_162,c_163,c_164,c_166,c_167,c_168,c_170,c_171,c_172,c_174,c_175,c_176]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN466+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/15.39  % Computer : n026.cluster.edu
% 0.12/15.39  % Model    : x86_64 x86_64
% 0.12/15.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.39  % Memory   : 8046.5625MB
% 0.12/15.39  % OS       : Linux 6.8.0-71-generic
% 0.12/15.39  % CPULimit : 300
% 0.12/15.39  % WCLimit  : 300
% 0.12/15.39  % DateTime : Fri Sep 25 01:23:41 UTC 2026
% 0.12/15.39  % CPUTime  : 
% 0.12/15.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/15.43  Running first-order theorem proving
% 0.14/15.43  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
% 0.14/15.44  
% 0.14/15.44  % ======== iProver multi-core TPTP/SMT =========
% 0.14/15.44  
% 0.14/15.44  % Detected problem language: tptp
% 0.14/15.45  % Proving...
% 2.89/16.21  % SZS status Started for theBenchmark.p
% 2.89/16.21  % SZS status Theorem for theBenchmark.p
% 2.89/16.21  
% 2.89/16.21  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.89/16.21  
% 2.89/16.21  % ------  iProver source info
% 2.89/16.21  
% 2.89/16.21  % git: date: 2026-07-19 20:42:38 +0200
% 2.89/16.21  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.89/16.21  % git: non_committed_changes: false
% 2.89/16.21  
% 2.89/16.21  % ------ Parsing...
% 2.89/16.21  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 2.89/16.21  % 
% 2.89/16.21  
% 2.89/16.21  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.89/16.21  
% 2.89/16.21  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 2.89/16.21   gs_s  sp: 102 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.89/16.21  % ------ Proving...
% 2.89/16.21  % ------ Problem Properties 
% 2.89/16.21  
% 2.89/16.21  % 
% 2.89/16.21  % clauses                               194
% 2.89/16.21  % conjectures                           191
% 2.89/16.21  % EPR                                   194
% 2.89/16.21  % Horn                                  108
% 2.89/16.21  % unary                                 0
% 2.89/16.21  % binary                                94
% 2.89/16.21  % lits                                  521
% 2.89/16.21  % lits eq                               0
% 2.89/16.21  % fd_pure                               0
% 2.89/16.21  % fd_pseudo                             0
% 2.89/16.21  % fd_cond                               0
% 2.89/16.21  % fd_pseudo_cond                        0
% 2.89/16.21  % AC symbols                            0
% 2.89/16.21  
% 2.89/16.21  % ------ Schedule EPR non Horn non eq is on
% 2.89/16.21  
% 2.89/16.21  % ------ no equalities: superposition off 
% 2.89/16.21  
% 2.89/16.21  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.89/16.21  
% 2.89/16.21  
% 2.89/16.21  % ------ 
% 2.89/16.21  % Current options:
% 2.89/16.21  % ------ 
% 2.89/16.21  
% 2.89/16.21  
% 2.89/16.21  % 
% 2.89/16.21  
% 2.89/16.21  % ------ Proving...
% 2.89/16.21  % 
% 2.89/16.21  
% 2.89/16.21  % SZS status Theorem for theBenchmark.p
% 2.89/16.21  
% 2.89/16.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.89/16.22  
% 2.89/16.22  
%------------------------------------------------------------------------------