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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN470+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:23 PM UTC 2026

% Result   : Theorem 3.23s 1.19s
% Output   : CNFRefutation 3.23s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f229ERROR: Could not build tree for root c_17216ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp2
        | hskp8
        | hskp4 )
      & ( hskp26
        | hskp17
        | hskp11 )
      & ( hskp26
        | hskp10
        | hskp27 )
      & ( hskp14
        | hskp6
        | hskp13 )
      & ( hskp20
        | hskp21
        | hskp28 )
      & ( hskp10
        | hskp13
        | hskp28 )
      & ( hskp12
        | hskp13
        | hskp15 )
      & ( hskp17
        | hskp22
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | ~ c1_1(X104) ) ) )
      & ( hskp19
        | hskp27
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c2_1(X103)
              | ~ c1_1(X103) ) ) )
      & ( hskp3
        | hskp13
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c1_1(X102) ) ) )
      & ( hskp8
        | hskp12
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c1_1(X101)
              | ~ c0_1(X101) ) ) )
      & ( hskp0
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c1_1(X99)
              | c3_1(X99) ) ) )
      & ( hskp25
        | hskp16
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c3_1(X98) ) ) )
      & ( hskp2
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c2_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c1_1(X96)
              | ~ c0_1(X96)
              | c3_1(X96) ) ) )
      & ( hskp26
        | hskp25
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c1_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp17
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c3_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c1_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp10
        | hskp15
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp24
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c3_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c0_1(X90)
              | c2_1(X90) ) ) )
      & ( hskp4
        | hskp5
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | ~ c0_1(X89)
              | c2_1(X89) ) ) )
      & ( hskp31
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | ~ c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | ~ c0_1(X87)
              | c2_1(X87) ) ) )
      & ( hskp2
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c1_1(X85)
              | ~ c0_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp20
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c1_1(X84)
              | c2_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp29
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | c1_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp20
        | hskp12
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | c3_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp7
        | hskp5
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp4
        | hskp31
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp23
        | ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | ~ c0_1(X77)
              | c3_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c3_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp22
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp3
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c1_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp21
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c1_1(X71)
              | c3_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp9
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp20
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c0_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp9
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c0_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp19
        | hskp18
        | ! [X63] :
            ( ndr1_0
           => ( c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp17
        | hskp4
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp16
        | hskp28
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp15
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | ~ c0_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp14
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c2_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | ~ c0_1(X56)
              | c3_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c0_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp10
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp1
        | hskp31
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp30
        | hskp31
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp30
        | hskp13
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp28
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | ~ c1_1(X48)
              | ~ c0_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp7
        | hskp1
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp8
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c0_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | ~ c0_1(X43)
              | c3_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c3_1(X42)
              | c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp8
        | hskp12
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp4
        | hskp30
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp9
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | c2_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c1_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c1_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp11
        | hskp10
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp6
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | ~ c0_1(X32)
              | c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | ~ c0_1(X30)
              | c3_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c0_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | ~ c2_1(X27)
              | ~ c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c1_1(X26)
              | c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp9
        | hskp6
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp8
        | hskp29
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp28
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c0_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp7
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | ~ c0_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c1_1(X18)
              | c2_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp6
        | hskp28
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp5
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c1_1(X14)
              | ~ c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp4
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | ~ c0_1(X12)
              | c3_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp3
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c2_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp2
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | ~ c1_1(X8)
              | ~ c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( ~ c0_1(X6)
              | c3_1(X6)
              | c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c1_1(X4)
              | c3_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | c2_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a522)
          & c1_1(a522)
          & c0_1(a522)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a512)
          & c2_1(a512)
          & c1_1(a512)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a504)
          & c1_1(a504)
          & c0_1(a504)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a500)
          & c2_1(a500)
          & c0_1(a500)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c1_1(a568)
          & c3_1(a568)
          & c0_1(a568)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a559)
          & ~ c2_1(a559)
          & ~ c0_1(a559)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a558)
          & ~ c0_1(a558)
          & c2_1(a558)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a554)
          & ~ c2_1(a554)
          & c0_1(a554)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a541)
          & c1_1(a541)
          & c0_1(a541)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a540)
          & c3_1(a540)
          & c1_1(a540)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a538)
          & ~ c1_1(a538)
          & c0_1(a538)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a536)
          & ~ c1_1(a536)
          & ~ c0_1(a536)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a534)
          & ~ c2_1(a534)
          & c1_1(a534)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a533)
          & c2_1(a533)
          & c1_1(a533)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a532)
          & ~ c1_1(a532)
          & c3_1(a532)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a530)
          & c3_1(a530)
          & c2_1(a530)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a528)
          & c1_1(a528)
          & c0_1(a528)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a527)
          & ~ c1_1(a527)
          & c2_1(a527)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a520)
          & c2_1(a520)
          & c0_1(a520)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a514)
          & c3_1(a514)
          & c1_1(a514)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a510)
          & ~ c1_1(a510)
          & c0_1(a510)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a509)
          & c3_1(a509)
          & c0_1(a509)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a507)
          & ~ c0_1(a507)
          & c3_1(a507)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a505)
          & c3_1(a505)
          & c2_1(a505)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a502)
          & ~ c1_1(a502)
          & ~ c0_1(a502)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a501)
          & c2_1(a501)
          & c1_1(a501)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c1_1(a499)
          & c2_1(a499)
          & c0_1(a499)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a498)
          & ~ c0_1(a498)
          & c1_1(a498)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a497)
          & ~ c0_1(a497)
          & c2_1(a497)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a496)
          & ~ c2_1(a496)
          & ~ c1_1(a496)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a495)
          & ~ c0_1(a495)
          & c1_1(a495)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a494)
          & ~ c0_1(a494)
          & c3_1(a494)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp2
          | hskp8
          | hskp4 )
        & ( hskp26
          | hskp17
          | hskp11 )
        & ( hskp26
          | hskp10
          | hskp27 )
        & ( hskp14
          | hskp6
          | hskp13 )
        & ( hskp20
          | hskp21
          | hskp28 )
        & ( hskp10
          | hskp13
          | hskp28 )
        & ( hskp12
          | hskp13
          | hskp15 )
        & ( hskp17
          | hskp22
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | ~ c1_1(X104) ) ) )
        & ( hskp19
          | hskp27
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | ~ c1_1(X103) ) ) )
        & ( hskp3
          | hskp13
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c1_1(X102) ) ) )
        & ( hskp8
          | hskp12
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) ) )
        & ( hskp0
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c1_1(X99)
                | c3_1(X99) ) ) )
        & ( hskp25
          | hskp16
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c3_1(X98) ) ) )
        & ( hskp2
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c1_1(X96)
                | ~ c0_1(X96)
                | c3_1(X96) ) ) )
        & ( hskp26
          | hskp25
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c1_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp17
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c3_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c1_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp10
          | hskp15
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp24
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c3_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) ) )
        & ( hskp4
          | hskp5
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp31
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | ~ c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | ~ c0_1(X87)
                | c2_1(X87) ) ) )
        & ( hskp2
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp20
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | c2_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp29
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp20
          | hskp12
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp7
          | hskp5
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp4
          | hskp31
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp23
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp22
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp3
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp21
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | c3_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp9
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp20
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp9
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c0_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp19
          | hskp18
          | ! [X63] :
              ( ndr1_0
             => ( c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp17
          | hskp4
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | hskp28
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp15
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | ~ c0_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp14
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | ~ c0_1(X56)
                | c3_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp10
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp1
          | hskp31
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp30
          | hskp31
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp30
          | hskp13
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp28
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | ~ c0_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp7
          | hskp1
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp8
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c0_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | ~ c0_1(X43)
                | c3_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp8
          | hskp12
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp4
          | hskp30
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp9
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp11
          | hskp10
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp6
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | ~ c0_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | ~ c0_1(X30)
                | c3_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c0_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c1_1(X26)
                | c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp9
          | hskp6
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp8
          | hskp29
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp28
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp7
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c1_1(X18)
                | c2_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp6
          | hskp28
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp5
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c1_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp4
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp3
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c2_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c3_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c2_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a522)
            & c1_1(a522)
            & c0_1(a522)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a512)
            & c2_1(a512)
            & c1_1(a512)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a504)
            & c1_1(a504)
            & c0_1(a504)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a500)
            & c2_1(a500)
            & c0_1(a500)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c1_1(a568)
            & c3_1(a568)
            & c0_1(a568)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a559)
            & ~ c2_1(a559)
            & ~ c0_1(a559)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a558)
            & ~ c0_1(a558)
            & c2_1(a558)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a554)
            & ~ c2_1(a554)
            & c0_1(a554)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a541)
            & c1_1(a541)
            & c0_1(a541)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a540)
            & c3_1(a540)
            & c1_1(a540)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a538)
            & ~ c1_1(a538)
            & c0_1(a538)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a536)
            & ~ c1_1(a536)
            & ~ c0_1(a536)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a534)
            & ~ c2_1(a534)
            & c1_1(a534)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a533)
            & c2_1(a533)
            & c1_1(a533)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a532)
            & ~ c1_1(a532)
            & c3_1(a532)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a530)
            & c3_1(a530)
            & c2_1(a530)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a528)
            & c1_1(a528)
            & c0_1(a528)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a527)
            & ~ c1_1(a527)
            & c2_1(a527)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a520)
            & c2_1(a520)
            & c0_1(a520)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a514)
            & c3_1(a514)
            & c1_1(a514)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a510)
            & ~ c1_1(a510)
            & c0_1(a510)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a509)
            & c3_1(a509)
            & c0_1(a509)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a507)
            & ~ c0_1(a507)
            & c3_1(a507)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a505)
            & c3_1(a505)
            & c2_1(a505)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a502)
            & ~ c1_1(a502)
            & ~ c0_1(a502)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a501)
            & c2_1(a501)
            & c1_1(a501)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a499)
            & c2_1(a499)
            & c0_1(a499)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a498)
            & ~ c0_1(a498)
            & c1_1(a498)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a497)
            & ~ c0_1(a497)
            & c2_1(a497)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a496)
            & ~ c2_1(a496)
            & ~ c1_1(a496)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a495)
            & ~ c0_1(a495)
            & c1_1(a495)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a494)
            & ~ c0_1(a494)
            & c3_1(a494)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp2
      | hskp8
      | hskp4 )
    & ( hskp26
      | hskp17
      | hskp11 )
    & ( hskp26
      | hskp10
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp13 )
    & ( hskp20
      | hskp21
      | hskp28 )
    & ( hskp10
      | hskp13
      | hskp28 )
    & ( hskp12
      | hskp13
      | hskp15 )
    & ( hskp17
      | hskp22
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c2_1(X104)
            | ~ c1_1(X104) ) ) )
    & ( hskp19
      | hskp27
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c2_1(X103)
            | ~ c1_1(X103) ) ) )
    & ( hskp3
      | hskp13
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c2_1(X102)
            | ~ c1_1(X102) ) ) )
    & ( hskp8
      | hskp12
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c1_1(X101)
            | ~ c0_1(X101) ) ) )
    & ( hskp0
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c2_1(X100)
            | ~ c0_1(X100) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | ~ c1_1(X99)
            | c3_1(X99) ) ) )
    & ( hskp25
      | hskp16
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | ~ c0_1(X98)
            | c3_1(X98) ) ) )
    & ( hskp2
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c2_1(X97)
            | ~ c0_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c1_1(X96)
            | ~ c0_1(X96)
            | c3_1(X96) ) ) )
    & ( hskp26
      | hskp25
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c1_1(X95)
            | c2_1(X95) ) ) )
    & ( hskp17
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c0_1(X94)
            | c3_1(X94) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c1_1(X93)
            | c2_1(X93) ) ) )
    & ( hskp10
      | hskp15
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c0_1(X92)
            | c2_1(X92) ) ) )
    & ( hskp24
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c0_1(X91)
            | c3_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c0_1(X90)
            | c2_1(X90) ) ) )
    & ( hskp4
      | hskp5
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c0_1(X89)
            | c2_1(X89) ) ) )
    & ( hskp31
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c2_1(X88)
            | ~ c1_1(X88) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | ~ c0_1(X87)
            | c2_1(X87) ) ) )
    & ( hskp2
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c0_1(X86)
            | c2_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c2_1(X85) ) ) )
    & ( hskp20
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c1_1(X84)
            | c2_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c2_1(X83)
            | c1_1(X83) ) ) )
    & ( hskp29
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c2_1(X82)
            | c1_1(X82) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c0_1(X81)
            | c1_1(X81) ) ) )
    & ( hskp20
      | hskp12
      | ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | c3_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp7
      | hskp5
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c3_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp4
      | hskp31
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | c3_1(X78)
            | c1_1(X78) ) ) )
    & ( hskp23
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | ~ c0_1(X77)
            | c3_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | c3_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp22
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | c3_1(X75)
            | c2_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c3_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp3
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | ~ c1_1(X73)
            | ~ c0_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c2_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp21
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c1_1(X71)
            | c3_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp9
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | ~ c0_1(X69)
            | c3_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp20
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c0_1(X67)
            | c1_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) ) )
    & ( hskp9
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c1_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c0_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) ) )
    & ( hskp19
      | hskp18
      | ! [X63] :
          ( ndr1_0
         => ( c3_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) ) )
    & ( hskp17
      | hskp4
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c2_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp16
      | hskp28
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c2_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp15
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | ~ c0_1(X60)
            | c2_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c2_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp14
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | c2_1(X58)
            | c1_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c0_1(X57) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c1_1(X56)
            | ~ c0_1(X56)
            | c3_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c0_1(X55)
            | c1_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp10
      | ! [X53] :
          ( ndr1_0
         => ( ~ c0_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp1
      | hskp31
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp30
      | hskp31
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp30
      | hskp13
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp28
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | ~ c0_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c3_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp7
      | hskp1
      | ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | c3_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp8
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c0_1(X45)
            | c1_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | c3_1(X44)
            | c0_1(X44) ) ) )
    & ( ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | ~ c0_1(X43)
            | c3_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c3_1(X42)
            | c0_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp8
      | hskp12
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | c2_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp4
      | hskp30
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp9
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c2_1(X37)
            | c0_1(X37) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c1_1(X36)
            | c2_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c1_1(X35)
            | c0_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp11
      | hskp10
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | c2_1(X33)
            | c0_1(X33) ) ) )
    & ( hskp6
      | ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | ~ c0_1(X32)
            | c2_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | ~ c0_1(X30)
            | c3_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | ~ c0_1(X29)
            | c2_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c3_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c2_1(X27)
            | ~ c1_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c1_1(X26)
            | c0_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp9
      | hskp6
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | c1_1(X24)
            | c0_1(X24) ) ) )
    & ( hskp8
      | hskp29
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | c1_1(X23)
            | c0_1(X23) ) ) )
    & ( hskp28
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp7
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | c1_1(X19)
            | c0_1(X19) ) ) )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c1_1(X18)
            | c2_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c2_1(X17)
            | c0_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) ) )
    & ( hskp6
      | hskp28
      | ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp5
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c1_1(X14)
            | ~ c0_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( hskp4
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) ) )
    & ( hskp3
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c2_1(X10)
            | c0_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( hskp2
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp1
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | c3_1(X6)
            | c1_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c3_1(X3)
            | c2_1(X3)
            | c0_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) ) )
    & ( hskp0
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c3_1(X1)
            | c1_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c2_1(a522)
        & c1_1(a522)
        & c0_1(a522)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a512)
        & c2_1(a512)
        & c1_1(a512)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a504)
        & c1_1(a504)
        & c0_1(a504)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a500)
        & c2_1(a500)
        & c0_1(a500)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a568)
        & c3_1(a568)
        & c0_1(a568)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & ~ c2_1(a559)
        & ~ c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a558)
        & ~ c0_1(a558)
        & c2_1(a558)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a554)
        & ~ c2_1(a554)
        & c0_1(a554)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a541)
        & c1_1(a541)
        & c0_1(a541)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a540)
        & c3_1(a540)
        & c1_1(a540)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a538)
        & ~ c1_1(a538)
        & c0_1(a538)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a536)
        & ~ c1_1(a536)
        & ~ c0_1(a536)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a534)
        & ~ c2_1(a534)
        & c1_1(a534)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a533)
        & c2_1(a533)
        & c1_1(a533)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a532)
        & ~ c1_1(a532)
        & c3_1(a532)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a530)
        & c3_1(a530)
        & c2_1(a530)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a528)
        & c1_1(a528)
        & c0_1(a528)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a527)
        & ~ c1_1(a527)
        & c2_1(a527)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a520)
        & c2_1(a520)
        & c0_1(a520)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a514)
        & c3_1(a514)
        & c1_1(a514)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a510)
        & ~ c1_1(a510)
        & c0_1(a510)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a509)
        & c3_1(a509)
        & c0_1(a509)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c3_1(a507)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a505)
        & c3_1(a505)
        & c2_1(a505)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a502)
        & ~ c1_1(a502)
        & ~ c0_1(a502)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a501)
        & c2_1(a501)
        & c1_1(a501)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a499)
        & c2_1(a499)
        & c0_1(a499)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a498)
        & ~ c0_1(a498)
        & c1_1(a498)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a497)
        & ~ c0_1(a497)
        & c2_1(a497)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a496)
        & ~ c2_1(a496)
        & ~ c1_1(a496)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a495)
        & ~ c0_1(a495)
        & c1_1(a495)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a494)
        & ~ c0_1(a494)
        & c3_1(a494)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp2
      | hskp8
      | hskp4 )
    & ( hskp26
      | hskp17
      | hskp11 )
    & ( hskp26
      | hskp10
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp13 )
    & ( hskp20
      | hskp21
      | hskp28 )
    & ( hskp10
      | hskp13
      | hskp28 )
    & ( hskp12
      | hskp13
      | hskp15 )
    & ( hskp17
      | hskp22
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c2_1(X104)
          | ~ c1_1(X104) ) )
    & ( hskp19
      | hskp27
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c2_1(X103)
          | ~ c1_1(X103) ) )
    & ( hskp3
      | hskp13
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c1_1(X102) ) )
    & ( hskp8
      | hskp12
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101) ) )
    & ( hskp0
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c2_1(X100)
          | ~ c0_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | c3_1(X99) ) )
    & ( hskp25
      | hskp16
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | c3_1(X98) ) )
    & ( hskp2
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c2_1(X97)
          | ~ c0_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | c3_1(X96) ) )
    & ( hskp26
      | hskp25
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c1_1(X95)
          | c2_1(X95) ) )
    & ( hskp17
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | ~ c0_1(X94)
          | c3_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c1_1(X93)
          | c2_1(X93) ) )
    & ( hskp10
      | hskp15
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92) ) )
    & ( hskp24
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c0_1(X91)
          | c3_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | c2_1(X90) ) )
    & ( hskp4
      | hskp5
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89) ) )
    & ( hskp31
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c1_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c1_1(X87)
          | ~ c0_1(X87)
          | c2_1(X87) ) )
    & ( hskp2
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c1_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85) ) )
    & ( hskp20
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c1_1(X84)
          | c2_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | c1_1(X83) ) )
    & ( hskp29
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | c1_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81) ) )
    & ( hskp20
      | hskp12
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c2_1(X80)
          | c3_1(X80)
          | c1_1(X80) ) )
    & ( hskp7
      | hskp5
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c1_1(X79) ) )
    & ( hskp4
      | hskp31
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c3_1(X78)
          | c1_1(X78) ) )
    & ( hskp23
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | c3_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | c3_1(X76)
          | c1_1(X76) ) )
    & ( hskp22
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c0_1(X75)
          | c3_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c3_1(X74)
          | c1_1(X74) ) )
    & ( hskp3
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c1_1(X73)
          | ~ c0_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp21
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | c3_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp9
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c1_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp20
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( hskp9
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | c2_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c2_1(X64)
          | c1_1(X64) ) )
    & ( hskp19
      | hskp18
      | ! [X63] :
          ( ~ ndr1_0
          | c3_1(X63)
          | c2_1(X63)
          | c1_1(X63) ) )
    & ( hskp17
      | hskp4
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c0_1(X62) ) )
    & ( hskp16
      | hskp28
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c2_1(X61)
          | c0_1(X61) ) )
    & ( hskp15
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | ~ c0_1(X60)
          | c2_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c2_1(X59)
          | c0_1(X59) ) )
    & ( hskp14
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c0_1(X58)
          | c2_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57) ) )
    & ( ! [X56] :
          ( ~ ndr1_0
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c0_1(X55)
          | c1_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) ) )
    & ( hskp10
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c0_1(X53)
          | c2_1(X53)
          | c1_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52) ) )
    & ( hskp1
      | hskp31
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp30
      | hskp31
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50) ) )
    & ( hskp30
      | hskp13
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp28
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47) ) )
    & ( hskp7
      | hskp1
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c1_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp8
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c0_1(X45)
          | c1_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | ~ c0_1(X43)
          | c3_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c3_1(X42)
          | c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp8
      | hskp12
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp4
      | hskp30
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp9
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | ~ c1_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp11
      | hskp10
      | ! [X33] :
          ( ~ ndr1_0
          | c3_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp6
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | ~ c0_1(X32)
          | c2_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | c3_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | c3_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c1_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | ~ c1_1(X26)
          | c0_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp9
      | hskp6
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp8
      | hskp29
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | c1_1(X23)
          | c0_1(X23) ) )
    & ( hskp28
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp7
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c1_1(X18)
          | c2_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c1_1(X17)
          | c2_1(X17)
          | c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp6
      | hskp28
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp5
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | ~ c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp4
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp3
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c2_1(X10)
          | c0_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp2
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c0_1(X6)
          | c3_1(X6)
          | c1_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c3_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c3_1(X3)
          | c2_1(X3)
          | c0_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c3_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a522)
        & c1_1(a522)
        & c0_1(a522)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a512)
        & c2_1(a512)
        & c1_1(a512)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a504)
        & c1_1(a504)
        & c0_1(a504)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a500)
        & c2_1(a500)
        & c0_1(a500)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a568)
        & c3_1(a568)
        & c0_1(a568)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & ~ c2_1(a559)
        & ~ c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a558)
        & ~ c0_1(a558)
        & c2_1(a558)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a554)
        & ~ c2_1(a554)
        & c0_1(a554)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a541)
        & c1_1(a541)
        & c0_1(a541)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a540)
        & c3_1(a540)
        & c1_1(a540)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a538)
        & ~ c1_1(a538)
        & c0_1(a538)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a536)
        & ~ c1_1(a536)
        & ~ c0_1(a536)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a534)
        & ~ c2_1(a534)
        & c1_1(a534)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a533)
        & c2_1(a533)
        & c1_1(a533)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a532)
        & ~ c1_1(a532)
        & c3_1(a532)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a530)
        & c3_1(a530)
        & c2_1(a530)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a528)
        & c1_1(a528)
        & c0_1(a528)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a527)
        & ~ c1_1(a527)
        & c2_1(a527)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a520)
        & c2_1(a520)
        & c0_1(a520)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a514)
        & c3_1(a514)
        & c1_1(a514)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a510)
        & ~ c1_1(a510)
        & c0_1(a510)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a509)
        & c3_1(a509)
        & c0_1(a509)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c3_1(a507)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a505)
        & c3_1(a505)
        & c2_1(a505)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a502)
        & ~ c1_1(a502)
        & ~ c0_1(a502)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a501)
        & c2_1(a501)
        & c1_1(a501)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a499)
        & c2_1(a499)
        & c0_1(a499)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a498)
        & ~ c0_1(a498)
        & c1_1(a498)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a497)
        & ~ c0_1(a497)
        & c2_1(a497)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a496)
        & ~ c2_1(a496)
        & ~ c1_1(a496)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a495)
        & ~ c0_1(a495)
        & c1_1(a495)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a494)
        & ~ c0_1(a494)
        & c3_1(a494)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp2
      | hskp8
      | hskp4 )
    & ( hskp26
      | hskp17
      | hskp11 )
    & ( hskp26
      | hskp10
      | hskp27 )
    & ( hskp14
      | hskp6
      | hskp13 )
    & ( hskp20
      | hskp21
      | hskp28 )
    & ( hskp10
      | hskp13
      | hskp28 )
    & ( hskp12
      | hskp13
      | hskp15 )
    & ( hskp17
      | hskp22
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c2_1(X104)
          | ~ c1_1(X104) ) )
    & ( hskp19
      | hskp27
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c2_1(X103)
          | ~ c1_1(X103) ) )
    & ( hskp3
      | hskp13
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c1_1(X102) ) )
    & ( hskp8
      | hskp12
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c2_1(X101)
          | ~ c1_1(X101)
          | ~ c0_1(X101) ) )
    & ( hskp0
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c2_1(X100)
          | ~ c0_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c2_1(X99)
          | ~ c1_1(X99)
          | c3_1(X99) ) )
    & ( hskp25
      | hskp16
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | c3_1(X98) ) )
    & ( hskp2
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c2_1(X97)
          | ~ c0_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c1_1(X96)
          | ~ c0_1(X96)
          | c3_1(X96) ) )
    & ( hskp26
      | hskp25
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c1_1(X95)
          | c2_1(X95) ) )
    & ( hskp17
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | ~ c0_1(X94)
          | c3_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c1_1(X93)
          | c2_1(X93) ) )
    & ( hskp10
      | hskp15
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92) ) )
    & ( hskp24
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c0_1(X91)
          | c3_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c0_1(X90)
          | c2_1(X90) ) )
    & ( hskp4
      | hskp5
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89) ) )
    & ( hskp31
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | ~ c1_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c1_1(X87)
          | ~ c0_1(X87)
          | c2_1(X87) ) )
    & ( hskp2
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c0_1(X86)
          | c2_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c1_1(X85)
          | ~ c0_1(X85)
          | c2_1(X85) ) )
    & ( hskp20
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c1_1(X84)
          | c2_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | c1_1(X83) ) )
    & ( hskp29
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | c1_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c1_1(X81) ) )
    & ( hskp20
      | hskp12
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c2_1(X80)
          | c3_1(X80)
          | c1_1(X80) ) )
    & ( hskp7
      | hskp5
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c1_1(X79) ) )
    & ( hskp4
      | hskp31
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c3_1(X78)
          | c1_1(X78) ) )
    & ( hskp23
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c1_1(X77)
          | ~ c0_1(X77)
          | c3_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | c3_1(X76)
          | c1_1(X76) ) )
    & ( hskp22
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c0_1(X75)
          | c3_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c3_1(X74)
          | c1_1(X74) ) )
    & ( hskp3
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | ~ c1_1(X73)
          | ~ c0_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp21
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | ~ c1_1(X71)
          | c3_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp9
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c1_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp20
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c0_1(X67)
          | c1_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( hskp9
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | c2_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c0_1(X64)
          | c2_1(X64)
          | c1_1(X64) ) )
    & ( hskp19
      | hskp18
      | ! [X63] :
          ( ~ ndr1_0
          | c3_1(X63)
          | c2_1(X63)
          | c1_1(X63) ) )
    & ( hskp17
      | hskp4
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c0_1(X62) ) )
    & ( hskp16
      | hskp28
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c2_1(X61)
          | c0_1(X61) ) )
    & ( hskp15
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | ~ c0_1(X60)
          | c2_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c2_1(X59)
          | c0_1(X59) ) )
    & ( hskp14
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c0_1(X58)
          | c2_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57) ) )
    & ( ! [X56] :
          ( ~ ndr1_0
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | c3_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c0_1(X55)
          | c1_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) ) )
    & ( hskp10
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c0_1(X53)
          | c2_1(X53)
          | c1_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52) ) )
    & ( hskp1
      | hskp31
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp30
      | hskp31
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50) ) )
    & ( hskp30
      | hskp13
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp28
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | ~ c1_1(X48)
          | ~ c0_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | c3_1(X47)
          | c0_1(X47) ) )
    & ( hskp7
      | hskp1
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c1_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp8
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c0_1(X45)
          | c1_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | ~ c0_1(X43)
          | c3_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c3_1(X42)
          | c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp8
      | hskp12
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp4
      | hskp30
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp9
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c0_1(X38)
          | c2_1(X38)
          | c1_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | ~ c1_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp11
      | hskp10
      | ! [X33] :
          ( ~ ndr1_0
          | c3_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp6
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | ~ c0_1(X32)
          | c2_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | ~ c0_1(X30)
          | c3_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | c3_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | ~ c2_1(X27)
          | ~ c1_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | ~ c1_1(X26)
          | c0_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp9
      | hskp6
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp8
      | hskp29
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | c1_1(X23)
          | c0_1(X23) ) )
    & ( hskp28
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp7
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c1_1(X18)
          | c2_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c1_1(X17)
          | c2_1(X17)
          | c0_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp6
      | hskp28
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp5
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c1_1(X14)
          | ~ c0_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp4
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp3
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c2_1(X10)
          | c0_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp2
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp1
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c0_1(X6)
          | c3_1(X6)
          | c1_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c3_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c3_1(X3)
          | c2_1(X3)
          | c0_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c3_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a522)
        & c1_1(a522)
        & c0_1(a522)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a512)
        & c2_1(a512)
        & c1_1(a512)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a504)
        & c1_1(a504)
        & c0_1(a504)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a500)
        & c2_1(a500)
        & c0_1(a500)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a568)
        & c3_1(a568)
        & c0_1(a568)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & ~ c2_1(a559)
        & ~ c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a558)
        & ~ c0_1(a558)
        & c2_1(a558)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a554)
        & ~ c2_1(a554)
        & c0_1(a554)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a541)
        & c1_1(a541)
        & c0_1(a541)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a540)
        & c3_1(a540)
        & c1_1(a540)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a538)
        & ~ c1_1(a538)
        & c0_1(a538)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a536)
        & ~ c1_1(a536)
        & ~ c0_1(a536)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a534)
        & ~ c2_1(a534)
        & c1_1(a534)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a533)
        & c2_1(a533)
        & c1_1(a533)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a532)
        & ~ c1_1(a532)
        & c3_1(a532)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a530)
        & c3_1(a530)
        & c2_1(a530)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a528)
        & c1_1(a528)
        & c0_1(a528)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a527)
        & ~ c1_1(a527)
        & c2_1(a527)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a520)
        & c2_1(a520)
        & c0_1(a520)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a514)
        & c3_1(a514)
        & c1_1(a514)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a510)
        & ~ c1_1(a510)
        & c0_1(a510)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a509)
        & c3_1(a509)
        & c0_1(a509)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c3_1(a507)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a505)
        & c3_1(a505)
        & c2_1(a505)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a502)
        & ~ c1_1(a502)
        & ~ c0_1(a502)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a501)
        & c2_1(a501)
        & c1_1(a501)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a499)
        & c2_1(a499)
        & c0_1(a499)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a498)
        & ~ c0_1(a498)
        & c1_1(a498)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a497)
        & ~ c0_1(a497)
        & c2_1(a497)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a496)
        & ~ c2_1(a496)
        & ~ c1_1(a496)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a495)
        & ~ c0_1(a495)
        & c1_1(a495)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a494)
        & ~ c0_1(a494)
        & c3_1(a494)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp2
    | hskp8
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp26
    | hskp17
    | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp26
    | hskp10
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp14
    | hskp6
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp20
    | hskp21
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp10
    | hskp13
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp12
    | hskp13
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X89] :
      ( hskp4
      | hskp5
      | ~ ndr1_0
      | ~ c1_1(X89)
      | ~ c0_1(X89)
      | c2_1(X89) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X80] :
      ( hskp20
      | hskp12
      | ~ ndr1_0
      | ~ c2_1(X80)
      | c3_1(X80)
      | c1_1(X80) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X79] :
      ( hskp7
      | hskp5
      | ~ ndr1_0
      | ~ c0_1(X79)
      | c3_1(X79)
      | c1_1(X79) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X78] :
      ( hskp4
      | hskp31
      | ~ ndr1_0
      | ~ c0_1(X78)
      | c3_1(X78)
      | c1_1(X78) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X62] :
      ( hskp17
      | hskp4
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c2_1(X62)
      | c0_1(X62) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X61] :
      ( hskp16
      | hskp28
      | ~ ndr1_0
      | ~ c3_1(X61)
      | ~ c2_1(X61)
      | c0_1(X61) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X49] :
      ( hskp30
      | hskp13
      | ~ ndr1_0
      | ~ c2_1(X49)
      | c3_1(X49)
      | c0_1(X49) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X40] :
      ( hskp8
      | hskp12
      | ~ ndr1_0
      | ~ c1_1(X40)
      | c2_1(X40)
      | c0_1(X40) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X33] :
      ( hskp11
      | hskp10
      | ~ ndr1_0
      | c3_1(X33)
      | c2_1(X33)
      | c0_1(X33) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X15] :
      ( hskp6
      | hskp28
      | ~ ndr1_0
      | ~ c2_1(X15)
      | c1_1(X15)
      | c0_1(X15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( c2_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( c1_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( c0_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f79,plain,
    ( c2_1(a512)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c1_1(a512)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( c3_1(a504)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( c1_1(a504)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( c0_1(a504)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c3_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c2_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ c1_1(a568)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c3_1(a568)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c0_1(a568)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ c2_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ c0_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a554)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c2_1(a554)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c0_1(a554)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c0_1(a540)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( c3_1(a540)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c1_1(a540)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a538)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c1_1(a538)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c0_1(a538)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c2_1(a536)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c1_1(a536)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ c0_1(a536)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c2_1(a532)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c1_1(a532)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c3_1(a532)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c1_1(a530)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( c3_1(a530)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c2_1(a530)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c3_1(a528)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( c1_1(a528)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c0_1(a528)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c3_1(a527)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ c1_1(a527)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c2_1(a527)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c3_1(a520)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( c2_1(a520)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c0_1(a520)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c2_1(a514)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( c3_1(a514)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c1_1(a514)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c2_1(a510)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c1_1(a510)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c0_1(a510)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c2_1(a509)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c3_1(a509)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c0_1(a509)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c1_1(a507)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ c0_1(a507)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c3_1(a507)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c0_1(a505)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c3_1(a505)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c2_1(a505)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c3_1(a502)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c1_1(a502)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ c0_1(a502)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a501)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( c2_1(a501)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c1_1(a501)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c1_1(a499)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c2_1(a499)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c0_1(a499)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c2_1(a498)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ c0_1(a498)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c1_1(a498)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c1_1(a497)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c0_1(a497)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c2_1(a497)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c3_1(a496)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ c2_1(a496)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ c1_1(a496)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c3_1(a495)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ c0_1(a495)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c1_1(a495)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c2_1(a494)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ c0_1(a494)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c3_1(a494)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c3_1(a494)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a494) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a494) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_54,negated_conjecture,
    ( c1_1(a495)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a495) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a495) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_58,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a496) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a496) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a496) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_62,negated_conjecture,
    ( c2_1(a497)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_63,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a497) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a497) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_66,negated_conjecture,
    ( c1_1(a498)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a498) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a498) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_70,negated_conjecture,
    ( c0_1(a499)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_71,negated_conjecture,
    ( c2_1(a499)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a499) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_74,negated_conjecture,
    ( c1_1(a501)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_75,negated_conjecture,
    ( c2_1(a501)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a501) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_78,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a502) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a502) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a502) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_82,negated_conjecture,
    ( c2_1(a505)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_83,negated_conjecture,
    ( c3_1(a505)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a505) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_86,negated_conjecture,
    ( c3_1(a507)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a507) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a507) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_90,negated_conjecture,
    ( c0_1(a509)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_91,negated_conjecture,
    ( c3_1(a509)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a509) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_94,negated_conjecture,
    ( c0_1(a510)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a510) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a510) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_98,negated_conjecture,
    ( c1_1(a514)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_99,negated_conjecture,
    ( c3_1(a514)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a514) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_102,negated_conjecture,
    ( c0_1(a520)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_103,negated_conjecture,
    ( c2_1(a520)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a520) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_106,negated_conjecture,
    ( c2_1(a527)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_107,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a527) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a527) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_110,negated_conjecture,
    ( c0_1(a528)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_111,negated_conjecture,
    ( c1_1(a528)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a528) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_114,negated_conjecture,
    ( c2_1(a530)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_115,negated_conjecture,
    ( c3_1(a530)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a530) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_118,negated_conjecture,
    ( c3_1(a532)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a532) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a532) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_129,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_130,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a536) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a536) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a536) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_133,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_134,negated_conjecture,
    ( c0_1(a538)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a538) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a538) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_138,negated_conjecture,
    ( c1_1(a540)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_139,negated_conjecture,
    ( c3_1(a540)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a540) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_146,negated_conjecture,
    ( c0_1(a554)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_147,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a554) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a554) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_154,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a559) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_155,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a559) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a559) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_158,negated_conjecture,
    ( c0_1(a568)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_159,negated_conjecture,
    ( c3_1(a568)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_160,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a568) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_161,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_163,negated_conjecture,
    ( c2_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a500)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_166,negated_conjecture,
    ( c0_1(a504)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_167,negated_conjecture,
    ( c1_1(a504)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a504)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_170,negated_conjecture,
    ( c1_1(a512)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_171,negated_conjecture,
    ( c2_1(a512)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f79]) ).

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

tcf(c_174,negated_conjecture,
    ( c0_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_175,negated_conjecture,
    ( c1_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_176,negated_conjecture,
    ( c2_1(a522)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

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

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp8
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp13
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp16
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp4
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i] :
      ( hskp31
      | hskp4
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp5
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp12
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_238,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_239,negated_conjecture,
    ( hskp28
    | hskp13
    | hskp10 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_240,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp20 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_241,negated_conjecture,
    ( hskp14
    | hskp13
    | hskp6 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_242,negated_conjecture,
    ( hskp27
    | hskp26
    | hskp10 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_243,negated_conjecture,
    ( hskp26
    | hskp17
    | hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_244,negated_conjecture,
    ( hskp8
    | hskp4
    | hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_274,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_173,c_240,c_161,c_133,c_129]) ).

tcf(c_341,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp10
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_240,c_161,c_133,c_129,c_193]) ).

tcf(c_344,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp12
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_240,c_161,c_133,c_129,c_221]) ).

tcf(c_347,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp5
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_240,c_161,c_133,c_129,c_220]) ).

tcf(c_350,negated_conjecture,
    ! [X0: $i] :
      ( hskp31
      | hskp4
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_240,c_161,c_133,c_129,c_219]) ).

tcf(c_353,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp13
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_240,c_161,c_133,c_129,c_202]) ).

tcf(c_359,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp8
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_240,c_161,c_133,c_129,c_197]) ).

tcf(c_371,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_240,c_161,c_133,c_129,c_184]) ).

tcf(c_383,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_240,c_161,c_133,c_129,c_226]) ).

tcf(c_384,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_383]) ).

tcf(c_386,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp4
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_240,c_161,c_133,c_129,c_210]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp4
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_386]) ).

tcf(c_389,plain,
    ! [X0: $i] :
      ( hskp28
      | hskp16
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_240,c_161,c_133,c_129,c_209]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp16
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_389]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_240,c_161,c_133,c_129,c_179]) ).

tcf(c_412,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_240,c_161,c_133,c_129,c_177]) ).

tcf(c_414,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_217,c_274]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c1_1(X0)
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_414]) ).

tcf(c_420,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_240,c_161,c_133,c_129,c_195]) ).

tcf(c_421,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_420]) ).

tcf(c_422,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_240,c_161,c_133,c_129,c_192]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_422]) ).

tcf(c_424,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_240,c_161,c_133,c_129,c_218]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_424]) ).

tcf(c_426,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_240,c_161,c_133,c_129,c_215]) ).

tcf(c_427,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_426]) ).

tcf(c_428,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_240,c_161,c_133,c_129,c_214]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_428]) ).

tcf(c_430,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_240,c_161,c_133,c_129,c_213]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_430]) ).

tcf(c_432,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_240,c_161,c_133,c_129,c_207]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_432]) ).

tcf(c_436,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_240,c_161,c_133,c_129,c_199]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_436]) ).

tcf(c_438,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_240,c_161,c_133,c_129,c_187]) ).

tcf(c_439,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_438]) ).

tcf(c_440,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_240,c_161,c_133,c_129,c_186]) ).

tcf(c_441,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_440]) ).

tcf(c_442,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_240,c_161,c_133,c_129,c_182]) ).

tcf(c_443,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_442]) ).

tcf(c_447,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_240,c_161,c_133,c_129,c_180]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_447]) ).

tcf(c_449,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_240,c_161,c_133,c_129,c_229]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_451,plain,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c2_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_240,c_161,c_133,c_129,c_227]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c2_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_451]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_240,c_161,c_133,c_129,c_224]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_453]) ).

tcf(c_458,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_240,c_161,c_133,c_129,c_222]) ).

tcf(c_459,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_458]) ).

tcf(c_461,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_240,c_161,c_133,c_129,c_216]) ).

tcf(c_462,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_461]) ).

tcf(c_463,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_240,c_161,c_133,c_129,c_208]) ).

tcf(c_464,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_463]) ).

tcf(c_465,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X1)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_240,c_161,c_133,c_129,c_201]) ).

tcf(c_466,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_465]) ).

tcf(c_467,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_240,c_161,c_133,c_129,c_183]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_467]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_240,c_161,c_133,c_129,c_231]) ).

tcf(c_472,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_471]) ).

tcf(c_475,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_240,c_161,c_133,c_129,c_178]) ).

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

tcf(c_477,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_240,c_161,c_133,c_129,c_198]) ).

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

tcf(c_479,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_240,c_161,c_133,c_129,c_191]) ).

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

tcf(c_481,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_240,c_161,c_133,c_129,c_185]) ).

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

tcf(c_483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_240,c_161,c_133,c_129,c_194]) ).

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

tcf(c_485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_240,c_161,c_133,c_129,c_190]) ).

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

tcf(c_487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_240,c_161,c_133,c_129,c_206]) ).

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

tcf(c_2099,plain,
    ( hskp26
    | hskp10
    | ~ c1_1(a568) ),
    inference(resolution,[status(thm)],[c_242,c_160]) ).

tcf(c_2109,plain,
    ( hskp26
    | hskp10
    | c3_1(a568) ),
    inference(resolution,[status(thm)],[c_242,c_159]) ).

tcf(c_2119,plain,
    ( hskp26
    | hskp10
    | c0_1(a568) ),
    inference(resolution,[status(thm)],[c_242,c_158]) ).

tcf(c_2219,plain,
    ( hskp13
    | hskp6
    | ~ c3_1(a527) ),
    inference(resolution,[status(thm)],[c_241,c_108]) ).

tcf(c_2229,plain,
    ( hskp13
    | hskp6
    | ~ c1_1(a527) ),
    inference(resolution,[status(thm)],[c_241,c_107]) ).

tcf(c_2239,plain,
    ( hskp13
    | hskp6
    | c2_1(a527) ),
    inference(resolution,[status(thm)],[c_241,c_106]) ).

tcf(c_2852,plain,
    ( hskp17
    | hskp11
    | ~ c3_1(a559) ),
    inference(resolution,[status(thm)],[c_243,c_156]) ).

tcf(c_2862,plain,
    ( hskp17
    | hskp11
    | ~ c2_1(a559) ),
    inference(resolution,[status(thm)],[c_243,c_155]) ).

tcf(c_2872,plain,
    ( hskp17
    | hskp11
    | ~ c0_1(a559) ),
    inference(resolution,[status(thm)],[c_243,c_154]) ).

tcf(c_3548,plain,
    ( hskp13
    | hskp12
    | ~ c3_1(a528) ),
    inference(resolution,[status(thm)],[c_238,c_112]) ).

tcf(c_3558,plain,
    ( hskp13
    | hskp12
    | c1_1(a528) ),
    inference(resolution,[status(thm)],[c_238,c_111]) ).

tcf(c_3568,plain,
    ( hskp13
    | hskp12
    | c0_1(a528) ),
    inference(resolution,[status(thm)],[c_238,c_110]) ).

tcf(c_5633,plain,
    ( hskp26
    | hskp11
    | ~ c2_1(a532) ),
    inference(resolution,[status(thm)],[c_243,c_120]) ).

tcf(c_5643,plain,
    ( hskp26
    | hskp11
    | ~ c1_1(a532) ),
    inference(resolution,[status(thm)],[c_243,c_119]) ).

tcf(c_5653,plain,
    ( hskp26
    | hskp11
    | c3_1(a532) ),
    inference(resolution,[status(thm)],[c_243,c_118]) ).

tcf(c_6485,plain,
    ( hskp28
    | hskp13
    | ~ c2_1(a509) ),
    inference(resolution,[status(thm)],[c_239,c_92]) ).

tcf(c_6495,plain,
    ( hskp28
    | hskp13
    | c3_1(a509) ),
    inference(resolution,[status(thm)],[c_239,c_91]) ).

tcf(c_6505,plain,
    ( hskp28
    | hskp13
    | c0_1(a509) ),
    inference(resolution,[status(thm)],[c_239,c_90]) ).

tcf(c_7106,plain,
    ( hskp4
    | hskp2
    | ~ c0_1(a505) ),
    inference(resolution,[status(thm)],[c_244,c_84]) ).

tcf(c_7116,plain,
    ( hskp4
    | hskp2
    | c3_1(a505) ),
    inference(resolution,[status(thm)],[c_244,c_83]) ).

tcf(c_7126,plain,
    ( hskp4
    | hskp2
    | c2_1(a505) ),
    inference(resolution,[status(thm)],[c_244,c_82]) ).

tcf(c_15980,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_488]) ).

tcf(c_15981,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_488]) ).

tcf(c_15984,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_486]) ).

tcf(c_15985,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_486]) ).

tcf(c_15986,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_486]) ).

tcf(c_15987,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

tcf(c_15988,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_484]) ).

tcf(c_15989,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_484]) ).

tcf(c_15990,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

tcf(c_15991,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_482]) ).

tcf(c_15992,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

tcf(c_15993,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_480]) ).

tcf(c_15994,negated_conjecture,
    ( iPr_def_19
    | iPr_def_14
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

tcf(c_15995,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_478]) ).

tcf(c_15996,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_478]) ).

tcf(c_15997,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

tcf(c_15998,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_476]) ).

tcf(c_15999,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_476]) ).

tcf(c_16000,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

tcf(c_16002,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_472]) ).

tcf(c_16003,negated_conjecture,
    ( iPr_def_24
    | iPr_def_10
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

tcf(c_16005,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_468]) ).

tcf(c_16006,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_468]) ).

tcf(c_16008,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_466]) ).

tcf(c_16009,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

tcf(c_16010,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_464]) ).

tcf(c_16011,negated_conjecture,
    ( iPr_def_28
    | iPr_def_19
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

tcf(c_16012,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_462]) ).

tcf(c_16013,negated_conjecture,
    ( iPr_def_29
    | iPr_def_26
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

tcf(c_16014,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_459]) ).

tcf(c_16015,negated_conjecture,
    ( iPr_def_30
    | iPr_def_11
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).

tcf(c_16017,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_454]) ).

tcf(c_16018,negated_conjecture,
    ( iPr_def_31
    | iPr_def_19
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_16019,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_452]) ).

tcf(c_16020,negated_conjecture,
    ( iPr_def_32
    | iPr_def_31
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

tcf(c_16021,negated_conjecture,
    ( iPr_def_32
    | iPr_def_17
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

tcf(c_16022,negated_conjecture,
    ( iPr_def_26
    | iPr_def_22
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

tcf(c_16024,negated_conjecture,
    ( iPr_def_32
    | iPr_def_25
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).

tcf(c_16025,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_441]) ).

tcf(c_16026,negated_conjecture,
    ( iPr_def_33
    | iPr_def_18
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).

tcf(c_16027,negated_conjecture,
    ( iPr_def_18
    | iPr_def_11
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_439]) ).

tcf(c_16028,negated_conjecture,
    ( iPr_def_20
    | iPr_def_11
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_437]) ).

tcf(c_16030,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

tcf(c_16031,negated_conjecture,
    ( iPr_def_33
    | iPr_def_29
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

tcf(c_16032,negated_conjecture,
    ( iPr_def_29
    | iPr_def_10
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

tcf(c_16033,negated_conjecture,
    ( iPr_def_29
    | iPr_def_23
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

tcf(c_16034,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_425]) ).

tcf(c_16036,negated_conjecture,
    ( iPr_def_19
    | iPr_def_14
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).

tcf(c_16037,negated_conjecture,
    ( iPr_def_29
    | iPr_def_16
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_421]) ).

tcf(c_16040,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_415]) ).

tcf(c_16041,negated_conjecture,
    ( iPr_def_36
    | iPr_def_34
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

tcf(c_16042,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_412]) ).

tcf(c_16043,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_412]) ).

tcf(c_16044,negated_conjecture,
    ( iPr_def_38
    | iPr_def_37
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).

tcf(c_16045,negated_conjecture,
    ( iPr_def_34
    | iPr_def_22
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

tcf(c_16052,negated_conjecture,
    ( iPr_def_28
    | hskp28
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

tcf(c_16053,negated_conjecture,
    ( iPr_def_28
    | hskp17
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

tcf(c_16054,negated_conjecture,
    ( iPr_def_19
    | hskp5
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).

tcf(c_16058,negated_conjecture,
    ( iPr_def_25
    | hskp28
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

tcf(c_16062,negated_conjecture,
    ( iPr_def_16
    | hskp12
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_359]) ).

tcf(c_16064,negated_conjecture,
    ( iPr_def_27
    | hskp30
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_353]) ).

tcf(c_16065,negated_conjecture,
    ( iPr_def_34
    | hskp31
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_350]) ).

tcf(c_16066,negated_conjecture,
    ( iPr_def_34
    | hskp7
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).

tcf(c_16067,negated_conjecture,
    ( iPr_def_38
    | hskp20
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_344]) ).

tcf(c_16068,negated_conjecture,
    ( iPr_def_14
    | hskp11
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_341]) ).

tcf(c_16076,plain,
    ( c1_1(a494)
    | c0_1(a494)
    | ~ iPr_def_18
    | ~ c3_1(a494) ),
    inference(instantiation,[status(thm)],[c_15991]) ).

tcf(c_16078,plain,
    ( c2_1(a494)
    | c0_1(a494)
    | ~ iPr_def_21
    | ~ c3_1(a494) ),
    inference(instantiation,[status(thm)],[c_15996]) ).

tcf(c_16090,plain,
    ( c2_1(a494)
    | ~ iPr_def_17
    | ~ c1_1(a494)
    | ~ c3_1(a494) ),
    inference(instantiation,[status(thm)],[c_15989]) ).

tcf(c_16103,plain,
    ( c3_1(a528)
    | ~ iPr_def_10
    | ~ c1_1(a528)
    | ~ c0_1(a528) ),
    inference(instantiation,[status(thm)],[c_15980]) ).

tcf(c_16108,plain,
    ( c2_1(a495)
    | c0_1(a495)
    | c3_1(a495)
    | ~ iPr_def_14 ),
    inference(instantiation,[status(thm)],[c_15985]) ).

tcf(c_16109,plain,
    ( c2_1(a496)
    | c0_1(a496)
    | c3_1(a496)
    | ~ iPr_def_14 ),
    inference(instantiation,[status(thm)],[c_15985]) ).

tcf(c_16110,plain,
    ( c2_1(a502)
    | c0_1(a502)
    | c3_1(a502)
    | ~ iPr_def_14 ),
    inference(instantiation,[status(thm)],[c_15985]) ).

tcf(c_16116,plain,
    ( c2_1(a559)
    | c0_1(a559)
    | c3_1(a559)
    | ~ iPr_def_14 ),
    inference(instantiation,[status(thm)],[c_15985]) ).

tcf(c_16119,plain,
    ( ~ iPr_def_15
    | ~ c1_1(a505)
    | ~ c2_1(a505)
    | ~ c3_1(a505) ),
    inference(instantiation,[status(thm)],[c_15986]) ).

tcf(c_16121,plain,
    ( ~ iPr_def_15
    | ~ c1_1(a500)
    | ~ c2_1(a500)
    | ~ c3_1(a500) ),
    inference(instantiation,[status(thm)],[c_15986]) ).

tcf(c_16123,plain,
    ( c2_1(a495)
    | c0_1(a495)
    | ~ iPr_def_16
    | ~ c1_1(a495) ),
    inference(instantiation,[status(thm)],[c_15988]) ).

tcf(c_16124,plain,
    ( c2_1(a498)
    | c0_1(a498)
    | ~ iPr_def_16
    | ~ c1_1(a498) ),
    inference(instantiation,[status(thm)],[c_15988]) ).

tcf(c_16127,plain,
    ( c2_1(a540)
    | c0_1(a540)
    | ~ iPr_def_16
    | ~ c1_1(a540) ),
    inference(instantiation,[status(thm)],[c_15988]) ).

tcf(c_16134,plain,
    ( c2_1(a528)
    | ~ iPr_def_19
    | ~ c1_1(a528)
    | ~ c0_1(a528) ),
    inference(instantiation,[status(thm)],[c_15993]) ).

tcf(c_16137,plain,
    ( c2_1(a504)
    | ~ iPr_def_19
    | ~ c1_1(a504)
    | ~ c0_1(a504) ),
    inference(instantiation,[status(thm)],[c_15993]) ).

tcf(c_16140,plain,
    ( c1_1(a496)
    | c0_1(a496)
    | c3_1(a496)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_15998]) ).

tcf(c_16141,plain,
    ( c1_1(a502)
    | c0_1(a502)
    | c3_1(a502)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_15998]) ).

tcf(c_16143,plain,
    ( c1_1(a527)
    | c0_1(a527)
    | c3_1(a527)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_15998]) ).

tcf(c_16150,plain,
    ( c0_1(a505)
    | ~ iPr_def_13
    | ~ c1_1(a505)
    | ~ c2_1(a505) ),
    inference(instantiation,[status(thm)],[c_15984]) ).

tcf(c_16154,plain,
    ( c0_1(a512)
    | ~ iPr_def_13
    | ~ c1_1(a512)
    | ~ c2_1(a512) ),
    inference(instantiation,[status(thm)],[c_15984]) ).

tcf(c_16156,plain,
    ( c2_1(a498)
    | ~ iPr_def_17
    | ~ c1_1(a498)
    | ~ c3_1(a498) ),
    inference(instantiation,[status(thm)],[c_15989]) ).

tcf(c_16159,plain,
    ( c2_1(a540)
    | ~ iPr_def_17
    | ~ c1_1(a540)
    | ~ c3_1(a540) ),
    inference(instantiation,[status(thm)],[c_15989]) ).

tcf(c_16160,plain,
    ( c2_1(a504)
    | ~ iPr_def_17
    | ~ c1_1(a504)
    | ~ c3_1(a504) ),
    inference(instantiation,[status(thm)],[c_15989]) ).

tcf(c_16165,plain,
    ( ~ iPr_def_15
    | ~ c1_1(a504)
    | ~ c2_1(a504)
    | ~ c3_1(a504) ),
    inference(instantiation,[status(thm)],[c_15986]) ).

tcf(c_16171,plain,
    ( c3_1(a520)
    | ~ iPr_def_10
    | ~ c1_1(a520)
    | ~ c0_1(a520) ),
    inference(instantiation,[status(thm)],[c_15980]) ).

tcf(c_16178,plain,
    ( c2_1(a509)
    | ~ iPr_def_19
    | ~ c1_1(a509)
    | ~ c0_1(a509) ),
    inference(instantiation,[status(thm)],[c_15993]) ).

tcf(c_16183,plain,
    ( c2_1(a554)
    | ~ iPr_def_19
    | ~ c1_1(a554)
    | ~ c0_1(a554) ),
    inference(instantiation,[status(thm)],[c_15993]) ).

tcf(c_16190,plain,
    ( c1_1(a507)
    | c0_1(a507)
    | ~ iPr_def_18
    | ~ c3_1(a507) ),
    inference(instantiation,[status(thm)],[c_15991]) ).

tcf(c_16193,plain,
    ( c1_1(a532)
    | c0_1(a532)
    | ~ iPr_def_18
    | ~ c3_1(a532) ),
    inference(instantiation,[status(thm)],[c_15991]) ).

tcf(c_16196,plain,
    ( c1_1(a505)
    | c0_1(a505)
    | ~ iPr_def_18
    | ~ c3_1(a505) ),
    inference(instantiation,[status(thm)],[c_15991]) ).

tcf(c_16224,plain,
    ( c1_1(a497)
    | c0_1(a497)
    | c3_1(a497)
    | ~ iPr_def_22 ),
    inference(instantiation,[status(thm)],[c_15998]) ).

tcf(c_16246,plain,
    ( c1_1(a509)
    | c2_1(a509)
    | ~ iPr_def_29
    | ~ c0_1(a509) ),
    inference(instantiation,[status(thm)],[c_16012]) ).

tcf(c_16247,plain,
    ( c1_1(a510)
    | c2_1(a510)
    | ~ iPr_def_29
    | ~ c0_1(a510) ),
    inference(instantiation,[status(thm)],[c_16012]) ).

tcf(c_16255,plain,
    ( c1_1(a496)
    | c2_1(a496)
    | ~ iPr_def_29
    | ~ c0_1(a496) ),
    inference(instantiation,[status(thm)],[c_16012]) ).

tcf(c_16262,plain,
    ( c1_1(a532)
    | c2_1(a532)
    | ~ iPr_def_29
    | ~ c0_1(a532) ),
    inference(instantiation,[status(thm)],[c_16012]) ).

tcf(c_16271,plain,
    ( c1_1(a499)
    | ~ iPr_def_11
    | ~ c0_1(a499)
    | ~ c3_1(a499) ),
    inference(instantiation,[status(thm)],[c_15981]) ).

tcf(c_16274,plain,
    ( c1_1(a509)
    | ~ iPr_def_11
    | ~ c0_1(a509)
    | ~ c3_1(a509) ),
    inference(instantiation,[status(thm)],[c_15981]) ).

tcf(c_16280,plain,
    ( c1_1(a500)
    | ~ iPr_def_11
    | ~ c0_1(a500)
    | ~ c3_1(a500) ),
    inference(instantiation,[status(thm)],[c_15981]) ).

tcf(c_16299,plain,
    ( c1_1(a505)
    | c0_1(a505)
    | ~ iPr_def_25
    | ~ c2_1(a505) ),
    inference(instantiation,[status(thm)],[c_16005]) ).

tcf(c_16317,plain,
    ( c0_1(a501)
    | ~ iPr_def_13
    | ~ c1_1(a501)
    | ~ c2_1(a501) ),
    inference(instantiation,[status(thm)],[c_15984]) ).

tcf(c_16323,plain,
    ( c0_1(a505)
    | ~ iPr_def_28
    | ~ c2_1(a505)
    | ~ c3_1(a505) ),
    inference(instantiation,[status(thm)],[c_16010]) ).

tcf(c_16357,plain,
    ( c3_1(a499)
    | ~ iPr_def_32
    | ~ c2_1(a499)
    | ~ c0_1(a499) ),
    inference(instantiation,[status(thm)],[c_16019]) ).

tcf(c_16360,plain,
    ( c3_1(a520)
    | ~ iPr_def_32
    | ~ c2_1(a520)
    | ~ c0_1(a520) ),
    inference(instantiation,[status(thm)],[c_16019]) ).

tcf(c_16361,plain,
    ( c3_1(a527)
    | ~ iPr_def_32
    | ~ c2_1(a527)
    | ~ c0_1(a527) ),
    inference(instantiation,[status(thm)],[c_16019]) ).

tcf(c_16367,plain,
    ( c3_1(a528)
    | ~ iPr_def_32
    | ~ c2_1(a528)
    | ~ c0_1(a528) ),
    inference(instantiation,[status(thm)],[c_16019]) ).

tcf(c_16375,plain,
    ( c0_1(a540)
    | ~ iPr_def_13
    | ~ c1_1(a540)
    | ~ c2_1(a540) ),
    inference(instantiation,[status(thm)],[c_15984]) ).

tcf(c_16380,plain,
    ( c3_1(a501)
    | ~ iPr_def_10
    | ~ c1_1(a501)
    | ~ c0_1(a501) ),
    inference(instantiation,[status(thm)],[c_15980]) ).

tcf(c_16392,plain,
    ( c0_1(a495)
    | c3_1(a495)
    | ~ iPr_def_20
    | ~ c1_1(a495) ),
    inference(instantiation,[status(thm)],[c_15995]) ).

tcf(c_16394,plain,
    ( c0_1(a498)
    | c3_1(a498)
    | ~ iPr_def_20
    | ~ c1_1(a498) ),
    inference(instantiation,[status(thm)],[c_15995]) ).

tcf(c_16399,plain,
    ( c3_1(a495)
    | ~ iPr_def_23
    | ~ c1_1(a495)
    | ~ c2_1(a495) ),
    inference(instantiation,[status(thm)],[c_15999]) ).

tcf(c_16401,plain,
    ( c3_1(a501)
    | ~ iPr_def_23
    | ~ c1_1(a501)
    | ~ c2_1(a501) ),
    inference(instantiation,[status(thm)],[c_15999]) ).

tcf(c_16403,plain,
    ( c3_1(a520)
    | ~ iPr_def_23
    | ~ c1_1(a520)
    | ~ c2_1(a520) ),
    inference(instantiation,[status(thm)],[c_15999]) ).

tcf(c_16414,plain,
    ( c1_1(a497)
    | c0_1(a497)
    | ~ iPr_def_25
    | ~ c2_1(a497) ),
    inference(instantiation,[status(thm)],[c_16005]) ).

tcf(c_16421,plain,
    ( c0_1(a497)
    | ~ iPr_def_28
    | ~ c2_1(a497)
    | ~ c3_1(a497) ),
    inference(instantiation,[status(thm)],[c_16010]) ).

tcf(c_16424,plain,
    ( c0_1(a540)
    | ~ iPr_def_28
    | ~ c2_1(a540)
    | ~ c3_1(a540) ),
    inference(instantiation,[status(thm)],[c_16010]) ).

tcf(c_16438,plain,
    ( c2_1(a509)
    | ~ iPr_def_17
    | ~ c1_1(a509)
    | ~ c3_1(a509) ),
    inference(instantiation,[status(thm)],[c_15989]) ).

tcf(c_16440,plain,
    ( c2_1(a514)
    | ~ iPr_def_17
    | ~ c1_1(a514)
    | ~ c3_1(a514) ),
    inference(instantiation,[status(thm)],[c_15989]) ).

tcf(c_16447,plain,
    ( c2_1(a509)
    | ~ iPr_def_31
    | ~ c0_1(a509)
    | ~ c3_1(a509) ),
    inference(instantiation,[status(thm)],[c_16017]) ).

tcf(c_16448,plain,
    ( c2_1(a510)
    | ~ iPr_def_31
    | ~ c0_1(a510)
    | ~ c3_1(a510) ),
    inference(instantiation,[status(thm)],[c_16017]) ).

tcf(c_16449,plain,
    ( c2_1(a514)
    | ~ iPr_def_31
    | ~ c0_1(a514)
    | ~ c3_1(a514) ),
    inference(instantiation,[status(thm)],[c_16017]) ).

tcf(c_16457,plain,
    ( c1_1(a502)
    | c3_1(a502)
    | ~ iPr_def_38
    | ~ c2_1(a502) ),
    inference(instantiation,[status(thm)],[c_16043]) ).

tcf(c_16458,plain,
    ( c1_1(a520)
    | c3_1(a520)
    | ~ iPr_def_38
    | ~ c2_1(a520) ),
    inference(instantiation,[status(thm)],[c_16043]) ).

tcf(c_16459,plain,
    ( c1_1(a527)
    | c3_1(a527)
    | ~ iPr_def_38
    | ~ c2_1(a527) ),
    inference(instantiation,[status(thm)],[c_16043]) ).

tcf(c_16477,plain,
    ( c2_1(a498)
    | c0_1(a498)
    | c3_1(a498)
    | ~ iPr_def_14 ),
    inference(instantiation,[status(thm)],[c_15985]) ).

tcf(c_16520,plain,
    ( ~ iPr_def_26
    | ~ c1_1(a520)
    | ~ c2_1(a520)
    | ~ c0_1(a520) ),
    inference(instantiation,[status(thm)],[c_16006]) ).

tcf(c_16524,plain,
    ( ~ iPr_def_26
    | ~ c1_1(a512)
    | ~ c2_1(a512)
    | ~ c0_1(a512) ),
    inference(instantiation,[status(thm)],[c_16006]) ).

tcf(c_16541,plain,
    ( c1_1(a500)
    | ~ iPr_def_30
    | ~ c2_1(a500)
    | ~ c3_1(a500) ),
    inference(instantiation,[status(thm)],[c_16014]) ).

tcf(c_16546,plain,
    ( c1_1(a499)
    | ~ iPr_def_33
    | ~ c2_1(a499)
    | ~ c0_1(a499) ),
    inference(instantiation,[status(thm)],[c_16025]) ).

tcf(c_16548,plain,
    ( c1_1(a520)
    | ~ iPr_def_33
    | ~ c2_1(a520)
    | ~ c0_1(a520) ),
    inference(instantiation,[status(thm)],[c_16025]) ).

tcf(c_16549,plain,
    ( c1_1(a527)
    | ~ iPr_def_33
    | ~ c2_1(a527)
    | ~ c0_1(a527) ),
    inference(instantiation,[status(thm)],[c_16025]) ).

tcf(c_16551,plain,
    ( c1_1(a500)
    | ~ iPr_def_33
    | ~ c2_1(a500)
    | ~ c0_1(a500) ),
    inference(instantiation,[status(thm)],[c_16025]) ).

tcf(c_16570,plain,
    ( c0_1(a497)
    | c3_1(a497)
    | ~ iPr_def_27
    | ~ c2_1(a497) ),
    inference(instantiation,[status(thm)],[c_16008]) ).

tcf(c_16579,plain,
    ( c1_1(a496)
    | c3_1(a496)
    | ~ iPr_def_34
    | ~ c0_1(a496) ),
    inference(instantiation,[status(thm)],[c_16034]) ).

tcf(c_16582,plain,
    ( c1_1(a520)
    | c3_1(a520)
    | ~ iPr_def_34
    | ~ c0_1(a520) ),
    inference(instantiation,[status(thm)],[c_16034]) ).

tcf(c_16584,plain,
    ( c1_1(a538)
    | c3_1(a538)
    | ~ iPr_def_34
    | ~ c0_1(a538) ),
    inference(instantiation,[status(thm)],[c_16034]) ).

tcf(c_16585,plain,
    ( c1_1(a554)
    | c3_1(a554)
    | ~ iPr_def_34
    | ~ c0_1(a554) ),
    inference(instantiation,[status(thm)],[c_16034]) ).

tcf(c_16618,plain,
    ( c1_1(a530)
    | c0_1(a530)
    | ~ iPr_def_18
    | ~ c3_1(a530) ),
    inference(instantiation,[status(thm)],[c_15991]) ).

tcf(c_16623,plain,
    ( ~ iPr_def_24
    | ~ c2_1(a530)
    | ~ c0_1(a530)
    | ~ c3_1(a530) ),
    inference(instantiation,[status(thm)],[c_16002]) ).

tcf(c_16628,plain,
    ( ~ iPr_def_24
    | ~ c2_1(a500)
    | ~ c0_1(a500)
    | ~ c3_1(a500) ),
    inference(instantiation,[status(thm)],[c_16002]) ).

tcf(c_16672,plain,
    ( c1_1(a568)
    | c2_1(a568)
    | ~ iPr_def_29
    | ~ c0_1(a568) ),
    inference(instantiation,[status(thm)],[c_16012]) ).

tcf(c_16688,plain,
    ( c1_1(a568)
    | ~ iPr_def_30
    | ~ c2_1(a568)
    | ~ c3_1(a568) ),
    inference(instantiation,[status(thm)],[c_16014]) ).

tcf(c_16698,plain,
    ( c2_1(a504)
    | ~ iPr_def_31
    | ~ c0_1(a504)
    | ~ c3_1(a504) ),
    inference(instantiation,[status(thm)],[c_16017]) ).

tcf(c_16704,plain,
    ( c1_1(a568)
    | ~ iPr_def_33
    | ~ c2_1(a568)
    | ~ c0_1(a568) ),
    inference(instantiation,[status(thm)],[c_16025]) ).

tcf(c_16740,plain,
    ( c1_1(a568)
    | ~ iPr_def_11
    | ~ c0_1(a568)
    | ~ c3_1(a568) ),
    inference(instantiation,[status(thm)],[c_15981]) ).

tcf(c_16844,plain,
    ( c1_1(a536)
    | c2_1(a536)
    | c0_1(a536)
    | ~ iPr_def_37 ),
    inference(instantiation,[status(thm)],[c_16042]) ).

tcf(c_16863,plain,
    ( c0_1(a527)
    | c3_1(a527)
    | ~ iPr_def_27
    | ~ c2_1(a527) ),
    inference(instantiation,[status(thm)],[c_16008]) ).

tcf(c_17064,plain,
    ( c2_1(a514)
    | c0_1(a514)
    | ~ iPr_def_16
    | ~ c1_1(a514) ),
    inference(instantiation,[status(thm)],[c_15988]) ).

tcf(c_17091,plain,
    ( c2_1(a514)
    | ~ iPr_def_19
    | ~ c1_1(a514)
    | ~ c0_1(a514) ),
    inference(instantiation,[status(thm)],[c_15993]) ).

tcf(c_17102,plain,
    ( ~ iPr_def_26
    | ~ c1_1(a522)
    | ~ c2_1(a522)
    | ~ c0_1(a522) ),
    inference(instantiation,[status(thm)],[c_16006]) ).

tcf(c_17115,plain,
    ( ~ iPr_def_26
    | ~ c1_1(a504)
    | ~ c2_1(a504)
    | ~ c0_1(a504) ),
    inference(instantiation,[status(thm)],[c_16006]) ).

tcf(c_17148,plain,
    ( c3_1(a528)
    | ~ iPr_def_23
    | ~ c1_1(a528)
    | ~ c2_1(a528) ),
    inference(instantiation,[status(thm)],[c_15999]) ).

tcf(c_17188,plain,
    ( c2_1(a496)
    | c3_1(a496)
    | ~ iPr_def_36
    | ~ c0_1(a496) ),
    inference(instantiation,[status(thm)],[c_16040]) ).

tcf(c_17194,plain,
    ( c2_1(a554)
    | c3_1(a554)
    | ~ iPr_def_36
    | ~ c0_1(a554) ),
    inference(instantiation,[status(thm)],[c_16040]) ).

tcf(c_17198,plain,
    ( c2_1(a510)
    | c3_1(a510)
    | ~ iPr_def_36
    | ~ c0_1(a510) ),
    inference(instantiation,[status(thm)],[c_16040]) ).

tcf(c_17216,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17198,c_17194,c_17188,c_17148,c_17115,c_17102,c_17091,c_17064,c_16863,c_16844,c_16740,c_16704,c_16698,c_16688,c_16672,c_16628,c_16623,c_16618,c_16585,c_16584,c_16582,c_16579,c_16570,c_16551,c_16549,c_16548,c_16546,c_16541,c_16524,c_16520,c_16477,c_16459,c_16458,c_16457,c_16449,c_16448,c_16447,c_16440,c_16438,c_16424,c_16421,c_16414,c_16403,c_16401,c_16399,c_16394,c_16392,c_16380,c_16375,c_16367,c_16361,c_16360,c_16357,c_16323,c_16317,c_16299,c_16280,c_16274,c_16271,c_16262,c_16255,c_16247,c_16246,c_16224,c_16196,c_16193,c_16190,c_16183,c_16178,c_16171,c_16165,c_16160,c_16159,c_16156,c_16154,c_16150,c_16143,c_16141,c_16140,c_16137,c_16134,c_16127,c_16124,c_16123,c_16121,c_16119,c_16116,c_16110,c_16109,c_16108,c_16103,c_16090,c_16078,c_16076,c_16068,c_16067,c_16066,c_16065,c_16064,c_16062,c_16058,c_16054,c_16053,c_16052,c_16045,c_16044,c_16041,c_16037,c_16036,c_16033,c_16032,c_16031,c_16030,c_16028,c_16027,c_16026,c_16024,c_16022,c_16021,c_16020,c_16018,c_16015,c_16013,c_16011,c_16009,c_16003,c_16000,c_15997,c_15994,c_15992,c_15990,c_15987,c_7126,c_7116,c_7106,c_6505,c_6495,c_6485,c_5653,c_5643,c_5633,c_3568,c_3558,c_3548,c_2872,c_2862,c_2852,c_2239,c_2229,c_2219,c_2119,c_2109,c_2099,c_51,c_52,c_55,c_56,c_58,c_59,c_60,c_63,c_64,c_67,c_68,c_72,c_76,c_78,c_79,c_80,c_84,c_87,c_88,c_92,c_95,c_96,c_100,c_104,c_107,c_108,c_112,c_116,c_119,c_120,c_130,c_131,c_132,c_135,c_136,c_140,c_147,c_148,c_154,c_155,c_156,c_50,c_54,c_62,c_66,c_70,c_71,c_74,c_75,c_82,c_83,c_86,c_90,c_91,c_94,c_98,c_99,c_102,c_103,c_106,c_110,c_111,c_114,c_115,c_118,c_134,c_138,c_139,c_146,c_162,c_163,c_164,c_166,c_167,c_168,c_170,c_171,c_174,c_175,c_176,c_239]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN470+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36  % Computer : n009.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Fri Sep 25 01:22:14 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.41  
% 0.11/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41  
% 0.11/0.41  % Detected problem language: tptp
% 0.11/0.42  % Proving...
% 3.23/1.19  % SZS status Started for theBenchmark.p
% 3.23/1.19  % SZS status Theorem for theBenchmark.p
% 3.23/1.19  
% 3.23/1.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.23/1.19  
% 3.23/1.19  % ------  iProver source info
% 3.23/1.19  
% 3.23/1.19  % git: date: 2026-07-19 20:42:38 +0200
% 3.23/1.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.23/1.19  % git: non_committed_changes: false
% 3.23/1.19  
% 3.23/1.19  % ------ Parsing...
% 3.23/1.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.23/1.19  % 
% 3.23/1.19  
% 3.23/1.19  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.23/1.19  
% 3.23/1.19  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.23/1.19   gs_s  sp: 105 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.23/1.19  % ------ Proving...
% 3.23/1.19  % ------ Problem Properties 
% 3.23/1.19  
% 3.23/1.19  % 
% 3.23/1.19  % clauses                               194
% 3.23/1.19  % conjectures                           194
% 3.23/1.19  % EPR                                   194
% 3.23/1.19  % Horn                                  111
% 3.23/1.19  % unary                                 0
% 3.23/1.19  % binary                                96
% 3.23/1.19  % lits                                  516
% 3.23/1.19  % lits eq                               0
% 3.23/1.19  % fd_pure                               0
% 3.23/1.19  % fd_pseudo                             0
% 3.23/1.19  % fd_cond                               0
% 3.23/1.19  % fd_pseudo_cond                        0
% 3.23/1.19  % AC symbols                            0
% 3.23/1.19  
% 3.23/1.19  % ------ Schedule EPR non Horn non eq is on
% 3.23/1.19  
% 3.23/1.19  % ------ no equalities: superposition off 
% 3.23/1.19  
% 3.23/1.19  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.23/1.19  
% 3.23/1.19  
% 3.23/1.19  % ------ 
% 3.23/1.19  % Current options:
% 3.23/1.19  % ------ 
% 3.23/1.19  
% 3.23/1.19  
% 3.23/1.19  % 
% 3.23/1.19  
% 3.23/1.19  % ------ Proving...
% 3.23/1.19  % 
% 3.23/1.19  
% 3.23/1.19  % SZS status Theorem for theBenchmark.p
% 3.23/1.19  
% 3.23/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.23/1.20  
% 3.23/1.20  
%------------------------------------------------------------------------------